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QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.

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## Free Math Worksheets — Over 100k free practice problems on Khan Academy

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High school statistics, ap®︎/college statistics, precalculus, differential calculus, integral calculus, ap®︎/college calculus ab, ap®︎/college calculus bc, multivariable calculus, differential equations, linear algebra.

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- Prepare for the 2020 AP®︎ Statistics Exam
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- Polynomials
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## Mathematics

Wolfram|Alpha has broad knowledge and deep computational power when it comes to math. Whether it be arithmetic, algebra, calculus, differential equations or anything in between, Wolfram|Alpha is up to the challenge. Get help with math homework, solve specific math problems or find information on mathematical subjects and topics.

Do basic arithmetic. Work with fractions, percentages and similar fundamentals. Solve place value and word problems.

## Do basic arithmetic:

Do exact arithmetic with fractions:.

Compute the properties of geometric objects of various kinds in 2, 3 or higher dimensions. Explore and apply ideas from many subfields of geometry.

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Plot a conic section and identify its type:, compute properties of a polyhedron:.

Work with various kinds of numbers. Check for membership in larger sets, such as the rationals or the transcendental numbers. Convert between bases.

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Convert a decimal number to another base:.

Analyze integers; subsets of the integers, including the prime numbers; and related ideas.

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Solve a diophantine equation:.

Perform numerical analysis and optimization of systems and objects, including packing and covering of objects and control systems.

## Minimize or maximize a function:

Numerically integrate functions that cannot be integrated symbolically:.

Make queries about various definitions and descriptions in mathematics.

## Find information about a math concept:

Get a brief definition:.

Compute properties of datasets, perform statistical inference or model data. Work with probability distributions and random variables.

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Find the sample size needed to estimate a binomial parameter:.

Find roots of and expand, factor or simplify mathematical expressions—everything from polynomials to fields and groups.

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Solve a trigonometric equation:.

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Analyze a graph specified by adjacency rules:, solve a recurrence:.

Evaluate Boolean logic expressions and expressions involving sets and set operators. Solve Boolean equations. Compute truth tables. Generate Venn diagrams.

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Gather information about famous problems, conjectures, theorems and paradoxes. Learn about them and their formulators.

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Get historical information about a theorem:.

Compute the probabilities of certain events occurring. Compute joint, disjoint or conditional probabilities and apply them to real-world situations.

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Compute coin‐toss probabilities:.

Compute integrals, derivatives and limits as well as analyze sums, products and series.

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Calculate a derivative:, solve an ordinary differential equation:.

Visualize functions, equations and inequalities. Do so in 1, 2 or 3 dimensions. Make polar and parametric plots.

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Plot a region satisfying multiple inequalities:.

Explore and compute properties of vectors, matrices and vector spaces.

## Compute properties of a vector:

Calculate properties of a matrix:, determine whether a set of vectors is linearly independent:.

Analyze functions and expressions containing imaginary numbers or complex variables.

## Compute properties of a function of a complex variable (use the variable z ):

Compute the residue of a function at a point:.

Examine the properties of mathematical functions, such as continuity, surjectivity and parity. Utilize notable special functions or number theoretic functions.

## Do computations with special functions:

Do computations with number theoretic functions:, find representations for a function:.

Compute; learn about algorithms, definitions and theorems involving; or find properties of continued fractions.

## Find the continued fraction representation of a number:

Find definitions of continued fraction terminology:, find continued fraction papers by author:.

Get information about math Common Core Standards for kindergarten through eighth grade.

## Evaluate an expression (CCSS.Math.Content.6.EE.A.2c):

Perform multiple operations with rational numbers (ccss.math.content.7.ns.a.2c):.

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## Over 5 Billion Problems Solved

Step-by-step examples.

- Adding Using Long Addition
- Long Subtraction
- Long Multiplication
- Long Division
- Dividing Using Partial Quotients Division
- Converting Regular to Scientific Notation
- Arranging a List in Order
- Expanded Notation
- Prime or Composite
- Comparing Expressions
- Converting to a Percentage
- Finding the Additive Inverse
- Finding the Multiplicative Inverse
- Reducing Fractions
- Finding the Reciprocal
- Converting to a Decimal
- Converting to a Mixed Number
- Adding Fractions
- Subtracting Fractions
- Multiplying Fractions
- Dividing Fractions
- Converting Ratios to Fractions
- Converting Percents to Decimal
- Converting Percents to Fractions
- Converting the Percent Grade to Degree
- Converting the Degree to Percent Grade
- Finding the Area of a Rectangle
- Finding the Perimeter of a Rectangle
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- Finding the Perimeter of a Square
- Finding the Area of a Circle
- Finding the Circumference of a Circle
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- Finding the Volume of a Box
- Finding the Volume of a Cylinder
- Finding the Volume of a Cone
- Finding the Volume of a Pyramid
- Finding the Volume of a Sphere
- Finding the Surface Area of a Box
- Finding the Surface Area of a Cylinder
- Finding the Surface Area of a Cone
- Finding the Surface Area of a Pyramid
- Converting to a Fraction
- Simple Exponents
- Prime Factorizations
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- Converting Kilometers to Miles
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- Converting Fahrenheit to Celsius
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- Simplifying
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- Multiplying Polynomials Using FOIL
- Identifying Degree
- Operations on Polynomials
- Negative Exponents
- Evaluating Radicals
- Solving by Adding/Subtracting
- Solving by Multiplying/Dividing
- Solving Containing Decimals
- Solving for a Variable
- Solving Linear Equations
- Solving Linear Inequalities
- Finding the Quadratic Constant of Variation
- Converting the Percent Grade to Slope
- Converting the Slope to Percent Grade
- Finding Equations Using Slope-Intercept
- Finding the Slope
- Finding the y Intercept
- Calculating Slope and y-Intercept
- Rewriting in Slope-Intercept Form
- Finding Equations Using the Slope-Intercept Formula
- Finding Equations Using Two Points
- Finding a Perpendicular Line Containing a Given Point
- Finding a Parallel Line Containing a Given Point
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- Finding a Perpendicular Line to the Given Line
- Finding Ordered Pair Solutions
- Using a Table of Values to Graph an Equation
- Finding the Equation Using Point-Slope Form
- Finding the Surface Area of a Sphere
- Solving by Graphing
- Finding the LCM of a List of Expressions
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- Determining if the Number is a Perfect Square
- Finding the Domain
- Evaluating the Difference Quotient
- Solving Using the Square Root Property
- Determining if True
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- Finding the Common Factors
- Expand a Trinomial with the Trinomial Theorem
- Finding the Start Point Given the Mid and End Points
- Finding the End Point Given the Start and Mid Points
- Finding the Slope and y-Intercept
- Finding the Equation of the Parabola
- Finding the Average Rate of Change
- Finding the Slope of the Perpendicular Line to the Line Through the Two Points
- Rewriting Using Negative Exponents
- Synthetic Division
- Maximum Number of Real Roots/Zeros
- Finding All Possible Roots/Zeros (RRT)
- Finding All Roots with Rational Root Test (RRT)
- Finding the Remainder
- Finding the Remainder Using Long Polynomial Division
- Reordering the Polynomial in Ascending Order
- Reordering the Polynomial in Descending Order
- Finding the Leading Term
- Finding the Leading Coefficient
- Finding the Degree, Leading Term, and Leading Coefficient
- Finding the GCF of a Polynomial
- Factoring Out Greatest Common Factor (GCF)
- Identifying the Common Factors
- Cancelling the Common Factors
- Finding the LCM using GCF
- Finding the GCF
- Factoring Trinomials
- Trinomial Squares
- Factoring Using Any Method
- Factoring a Difference of Squares
- Factoring a Sum of Cubes
- Factoring by Grouping
- Factoring a Difference of Cubes
- Determine if an Expression is a Factor
- Determining if Factor Using Synthetic Division
- Find the Factors Using the Factor Theorem
- Determining if Polynomial is Prime
- Determining if the Polynomial is a Perfect Square
- Expand using the Binomial Theorem
- Factoring over the Complex Numbers
- Finding All Integers k Such That the Trinomial Can Be Factored
- Determining if Linear
- Rewriting in Standard Form
- Finding x and y Intercepts
- Finding Equations Using the Point Slope Formula
- Finding Equations Given Point and y-Intercept
- Finding the Constant Using Slope
- Finding the Slope of a Parallel Line
- Finding the Slope of a Perpendicular Line
- Simplifying Absolute Value Expressions
- Solving with Absolute Values
- Finding the Vertex for the Absolute Value
- Rewriting the Absolute Value as Piecewise
- Calculating the Square Root
- Simplifying Radical Expressions
- Rationalizing Radical Expressions
- Solving Radical Equations
- Rewriting with Rational (Fractional) Exponents
- Finding the Square Root End Point
- Operations on Rational Expressions
- Determining if the Point is a Solution
- Solving over the Interval
- Finding the Range
- Finding the Domain and Range
- Solving Rational Equations
- Adding Rational Expressions
- Subtracting Rational Expressions
- Multiplying Rational Expressions
- Finding the Equation Given the Roots
- Finding the Asymptotes
- Finding the Constant of Variation
- Finding the Equation of Variation
- Substitution Method
- Addition/Elimination Method
- Graphing Method
- Determining Parallel Lines
- Determining Perpendicular Lines
- Dependent, Independent, and Inconsistent Systems
- Finding the Intersection (and)
- Using the Simplex Method for Constraint Maximization
- Using the Simplex Method for Constraint Minimization
- Finding the Union (or)
- Finding the Equation with Real Coefficients
- Solving in Terms of the Arbitrary Variable
- Finding a Direct Variation Equation
- Finding the Slope for Every Equation
- Finding a Variable Using the Constant of Variation
- Quadratic Formula
- Solving by Factoring
- Solve by Completing the Square
- Finding the Perfect Square Trinomial
- Finding the Quadratic Equation Given the Solution Set
- Finding a,b, and c in the Standard Form
- Finding the Discriminant
- Finding the Zeros by Completing the Square
- Quadratic Inequalities
- Rational Inequalities
- Converting from Interval to Inequality
- Converting to Interval Notation
- Rewriting as a Single Interval
- Determining if the Relation is a Function
- Finding the Domain and Range of the Relation
- Finding the Inverse of the Relation
- Finding the Inverse
- Determining if One Relation is the Inverse of Another
- Determining if Surjective (Onto)
- Determining if Bijective (One-to-One)
- Determining if Injective (One to One)
- Rewriting as an Equation
- Rewriting as y=mx+b
- Solving Function Systems
- Find the Behavior (Leading Coefficient Test)
- Determining Odd and Even Functions
- Describing the Transformation
- Finding the Symmetry
- Arithmetic of Functions
- Domain of Composite Functions
- Finding Roots Using the Factor Theorem
- Determine if Injective (One to One)
- Determine if Surjective (Onto)
- Finding the Vertex
- Finding the Sum
- Finding the Difference
- Finding the Product
- Finding the Quotient
- Finding the Domain of the Sum of the Functions
- Finding the Domain of the Difference of the Functions
- Finding the Domain of the Product of the Functions
- Finding the Domain of the Quotient of the Functions
- Finding Roots (Zeros)
- Identifying Zeros and Their Multiplicities
- Finding the Bounds of the Zeros
- Proving a Root is on the Interval
- Finding Maximum Number of Real Roots
- Function Composition
- Rewriting as a Function
- Determining if a Function is Rational
- Determining if a Function is Proper or Improper
- Maximum/Minimum of Quadratic Functions
- Finding All Complex Number Solutions
- Rationalizing with Complex Conjugates
- Vector Arithmetic
- Finding the Complex Conjugate
- Finding the Magnitude of a Complex Number
- Simplifying Logarithmic Expressions
- Expanding Logarithmic Expressions
- Evaluating Logarithms
- Rewriting in Exponential Form
- Converting to Logarithmic Form
- Exponential Expressions
- Exponential Equations
- Converting to Radical Form
- Find the Nth Root of the Given Value
- Simplifying Matrices
- Finding the Variables
- Solving the System of Equations Using an Inverse Matrix
- Finding the Dimensions
- Multiplication by a Scalar
- Subtraction
- Finding the Determinant of the Resulting Matrix
- Finding the Inverse of the Resulting Matrix
- Finding the Identity Matrix
- Finding the Scalar multiplied by the Identity Matrix
- Simplifying the Matrix Operation
- Finding the Determinant of a 2x2 Matrix
- Finding the Determinant of a 3x3 Matrix
- Finding the Determinant of Large Matrices
- Inverse of a 2x2 Matrix
- Inverse of an nxn Matrix
- Finding Reduced Row Echelon Form
- Finding the Transpose
- Finding the Adjoint
- Finding the Cofactor Matrix
- Finding the Pivot Positions and Pivot Columns
- Finding the Basis and Dimension for the Row Space of the Matrix
- Finding the Basis and Dimension for the Column Space of the Matrix
- Finding the LU Decomposition of a Matrix
- Identifying Conic Sections
- Identifying Circles
- Finding a Circle Using the Center and Another Point
- Finding a Circle by the Diameter End Points
- Finding the Parabola Equation Using the Vertex and Another Point
- Finding the Properties of the Parabola
- Finding the Vertex Form of the Parabola
- Finding the Vertex Form of an Ellipse
- Finding the Vertex Form of a Circle
- Finding the Vertex Form of a Hyperbola
- Finding the Standard Form of a Parabola
- Finding the Expanded Form of an Ellipse
- Finding the Expanded Form of a Circle
- Finding the Expanded Form of a Hyperbola
- Vector Addition
- Vector Subtraction
- Vector Multiplication by a Scalar
- Finding the Length
- Finding the Position Vector
- Determining Column Spaces
- Finding an Orthonormal Basis by Gram-Schmidt Method
- Rewrite the System as a Vector Equality
- Finding the Rank
- Finding the Nullity
- Finding the Distance
- Finding the Plane Parallel to a Line Given four 3d Points
- Finding the Intersection of the Line Perpendicular to Plane 1 Through the Origin and Plane 2
- Finding the Eigenvalues
- Finding the Characteristic Equation
- Finding the Eigenvectors/Eigenspace of a Matrix
- Proving a Transformation is Linear
- Finding the Kernel of a Transformation
- Projecting Using a Transformation
- Finding the Pre-Image
- Finding the Intersection of Sets
- Finding the Union of Number Sets
- Determining if a Set is a Subset of Another Set
- Determining if Two Sets are Mutually Exclusive
- Finding the Set Complement of Two Sets
- Finding the Power Set
- Finding the Cardinality
- Finding the Cartesian Product of Two Sets
- Determining if a Set is a Proper Subset of Another Set
- Finding the Function Rule
- Finding the Square or Rectangle Area Given Four Points
- Finding the Square or Rectangle Perimeter Given Four Points
- Finding the Square or Rectangle Area Given Three Points
- Finding the Square or Rectangle Perimeter Given Three Points
- Finding the Equation of a Circle
- Finding the Equation of a Hyperbola
- Finding the Equation of an Ellipse
- Partial Fraction Decomposition
- Finding an Angle Using another Angle
- Pythagorean Theorem
- Finding the Sine
- Finding the Cosine
- Finding the Tangent
- Finding the Trig Value
- Converting to Degrees, Minutes, and Seconds
- Finding Trig Functions Using Identities
- Finding Trig Functions Using the Right Triangle
- Converting Radians to Degrees
- Converting Degrees to Radians
- Finding a Reference Angle
- Finding a Supplement
- Finding a Complement
- Converting RPM to Radians per Second
- Finding the Quadrant of the Angle
- Graphing Sine & Cosine Functions
- Graphing Other Trigonometric Functions
- Amplitude, Period, and Phase Shift
- Finding the Other Trig Values in a Quadrant
- Finding the Exact Value
- Finding the Value Using the Unit Circle
- Expanding Trigonometric Expressions
- Expanding Using Double-Angle Formulas
- Expanding Using Triple-Angle Formulas
- Expanding Using Sum/Difference Formulas
- Simplify Using Pythagorean Identities
- Simplify by Converting to Sine/Cosine
- Inverting Trigonometric Expressions
- Finding the Trig Value of an Angle
- Expanding Using De Moivre's Theorem
- Verifying Trigonometric Identities
- Using Fundamental Identities
- Solving Standard Angle Equations
- Complex Trigonometric Equations
- Solving the Triangle
- Find the Roots of a Complex Number
- Complex Operations
- Trigonometric Form of a Complex Number
- Converting to Polar Coordinates
- Identifying and Graphing Circles
- Identifying and Graphing Limacons
- Identifying and Graphing Roses
- Identifying and Graphing Cardioids
- Difference Quotient
- Finding Upper and Lower Bounds
- Evaluating Functions
- Right Triangle Trigonometry
- Arithmetic Sequences/Progressions
- Geometric Sequences/Progressions
- Finding the Next Term of the Sequence
- Finding the nth Term Given a List of Numbers
- Finding the nth Term
- Finding the Sum of First n Terms
- Expanding Series Notation
- Finding the Sum of the Series
- Finding the Sum of the Infinite Geometric Series
- Converting to Rectangular Coordinates
- Evaluating Limits Approaching a Value
- Evaluating Limits Approaching Infinity
- Finding the Angle Between the Vectors
- Determining if the Point is on the Graph
- Finding the Antiderivative
- Checking if Continuous Over an Interval
- Determining if a Series is Divergent
- Using the Integral Test for Convergence
- Determining if an Infinite Series is Convergent Using Cauchy's Root Test
- Using the Limit Definition to Find the Tangent Line at a Given Point
- Finding the nth Derivative
- Finding the Derivative Using Product Rule
- Finding the Derivative Using Quotient Rule
- Finding the Derivative Using Chain Rule
- Use Logarithmic Differentiation to Find the Derivative
- Finding the Derivative
- Implicit Differentiation
- Using the Limit Definition to Find the Derivative
- Evaluating the Derivative
- Finding Where dy/dx is Equal to Zero
- Finding the Linearization
- Finding a Tangent Line to a Curve
- Checking if Differentiable Over an Interval
- The Mean Value Theorem
- Finding the Inflection Points
- Find Where the Function Increases/Decreases
- Finding the Critical Points of a Function
- Find Horizontal Tangent Line
- Evaluating Limits with L'Hospital Rule
- Local Maxima and Minima
- Finding the Absolute Maximum and Minimum on the Given Interval
- Finding Concavity using the Second Derivative
- Finding the Derivative using the Fundamental Theorem of Calculus
- Find the Turning Points
- Finding the Integral
- Evaluating Definite Integrals
- Evaluating Indefinite Integrals
- Substitution Rule
- Finding the Arc Length
- Finding the Average Value of the Derivative
- Finding the Average Value of the Equation
- Finding Area Between Curves
- Finding the Volume
- Finding the Average Value of the Function
- Finding the Root Mean Square
- Integration by Parts
- Trigonometric Integrals
- Trigonometric Substitution
- Integration by Partial Fractions
- Eliminating the Parameter from the Function
- Verify the Solution of a Differential Equation
- Solve for a Constant Given an Initial Condition
- Find an Exact Solution to the Differential Equation
- Verify the Existence and Uniqueness of Solutions for the Differential Equation
- Solve for a Constant in a Given Solution
- Solve the Bernoulli Differential Equation
- Solve the Linear Differential Equation
- Solve the Homogeneous Differential Equation
- Solve the Exact Differential Equation
- Approximate a Differential Equation Using Euler's Method
- Finding Elasticity of Demand
- Finding the Consumer Surplus
- Finding the Producer Surplus
- Finding the Gini Index
- Finding the Geometric Mean
- Finding the Quadratic Mean (RMS)
- Find the Mean Absolute Deviation
- Finding the Mid-Range (Mid-Extreme)
- Finding the Interquartile Range (H-Spread)
- Finding the Midhinge
- Finding the Standard Deviation
- Finding the Skew of a Data Set
- Finding the Range of a Data Set
- Finding the Variance of a Data Set
- Finding the Class Width
- Solving Combinations
- Solving Permutations
- Finding the Probability of Both Independent Events
- Finding the Probability of Both Dependent Events
- Finding the Probability for Both Mutually Exclusive Events
- Finding the Conditional Probability for Independent Events
- Determining if Given Events are Independent/Dependent Events
- Determining if Given Events are Mutually Exclusive Events
- Finding the Probability of Both not Mutually Exclusive Events
- Finding the Conditional Probability Using Bayes' Theorem
- Finding the Probability of the Complement
- Describing Distribution's Two Properties
- Finding the Expectation
- Finding the Variance
- Finding the Probability of a Binomial Distribution
- Finding the Probability of the Binomial Event
- Finding the Mean
- Finding the Relative Frequency
- Finding the Percentage Frequency
- Finding the Upper and Lower Class Limits of the Frequency Table
- Finding the Class Boundaries of the Frequency Table
- Finding the Class Width of the Frequency Table
- Finding the Midpoints of the Frequency Table
- Finding the Mean of the Frequency Table
- Finding the Variance of the Frequency Table
- Finding the Standard Deviation of the Frequency Table
- Finding the Cumulative Frequency of the Frequency Table
- Finding the Relative Frequency of the Frequency Table
- Finding the Median Class Interval of the Frequency Table
- Finding the Modal Class of the Frequency Table
- Creating a Grouped Frequency Distribution Table
- Finding the Data Range
- Finding a z-Score for a Normal Distribution
- Approximating Using Normal Distribution
- Finding the Probability of the z-Score Range
- Finding the Probability of a Range in a Nonstandard Normal Distribution
- Finding the z-Score Using the Table
- Finding the z-Score
- Testing the Claim
- Finding a t-Value for a Confidence Level
- Finding the Critical t-Value
- Setting the Alternative Hypothesis
- Setting the Null Hypothesis
- Determining if Left, Right, or Two Tailed Test Given the Null Hypothesis
- Determining if Left, Right, or Two Tailed Test Given the Alternative Hypothesis
- Finding Standard Error
- Finding the Linear Correlation Coefficient
- Determining if the Correlation is Significant
- Finding a Regression Line
- Cramer's Rule
- Solving using Matrices by Elimination
- Solving using Matrices by Row Operations
- Solving using an Augmented Matrix
- Finding the Simple Interest Received
- Finding the Present Value with Compound Interest
- Finding the Simple Interest Future Value
- Finding the Future Value with Continuous Interest
- Finding the Norm in Real Vector Space
- Finding the Direction Angle of the Vector
- Finding the Cross Product of Vectors
- Finding the Dot Product of Vectors
- Determining if Vectors are Orthogonal
- Finding the Distance Between the Vectors
- Finding a Unit Vector in the Same Direction as the Given Vector
- Finding the Angle Between Two Vectors Using the Cross Product
- Finding the Angle Between Two Vectors Using the Dot Product
- Finding the Projection of One Vector Onto another Vector
- Matrices Addition
- Matrices Subtraction
- Matrices Multiplication
- Finding the Trace
- Finding the Basis
- Matrix Dimension
- Convert to a Linear System
- Diagonalizing a Matrix
- Determining the value of k for which the system has no solutions
- Linear Independence of Real Vector Spaces
- Finding the Null Space
- Determining if the Vector is in the Span of the Set
- Finding the Number of Protons
- Finding the Number of Electrons
- Finding the Number of Neutrons
- Finding the Mass of a Single Atom
- Finding the Electron Configuration
- Finding the Atomic Mass
- Finding the Atomic Number
- Finding the Mass Percentages
- Finding Oxidation Numbers
- Balancing Chemical Equations
- Balancing Burning Reactions
- Finding the Density at STP
- Determining if the Compound is Soluble in Water
- Finding Mass
- Finding Density
- Finding Weight
- Finding Force
- Finding the Work Done
- Finding Angular Velocity
- Finding Centripetal Acceleration
- Finding Final Velocity
- Finding Average Acceleration
- Finding Displacement
- Finding Voltage Using the Ohm's Law
- Finding Electrical Power
- Finding Kinetic Energy
- Finding Power
- Finding Wavelength
- Finding Frequency
- Finding Pressure of the Gas

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## Usable Math

(formerly 4mality), a digital playground for math learning through problem solving and design.

Usable Math provides interactive problem solving practice for 3rd through 6th grade students learning mathematical reasoning and computation through creative writing, NoCode slideshow design, and human-AI collaboration.

- MATH MODULES

## Math Friends

Featuring four coaches Estella Explainer, Chef Math Bear, How-to Hound, and Visual Vicuna who offer reading, computation, strategy, and visual strategies for solving math problems.

Estella Explainer

"I help children understand the language and meaning of questions using kid-friendly vocabulary."

Chef Math Bear

"I provide computational strategies (addition, subtraction, multiplication and division) for solving problems."

How-to-Hound

" I present strategic thinking clues (rounding, estimation, elimination of wrong answers). "

Visual Vicuna

" I offer ways to see problems and their solutions using animations, pictures, charts and graphs. "

The coaches annotate hints and provide feedback to help students with various levels of knowledge solve mathematical word problems using a wide range of strategies.

## Math and ISTE Standards Based

Usable Math aims to teach mathematics concepts and problem solving skills based on the Massachusetts Mathematics Curriculum Framework and the Common Core State Standards for Mathematics. Usable Math supports ISTE Standards for Students : Empowered Learner (1.1), Knowledge Constructor (1.3), and Computational Thinker (1.5).

## Open Education Resource

Usable Math is an open education resource project developed in the College of Education, University of Massachusetts Amherst. Usable Math received a 2023 classroom grant from MassCUE (Massachusetts Computer Using Educators) . An initial version called 4mality was developed with funding support from the Verizon Foundation and a grant from the US Department of Education, Institute of Education (IES).

## BROWSE MATH MODULES

Storywriting, history, and science modules, a jenny-the-fisher math and citizen scientist adventure, math & science, a tai-the-math historian time travel adventure, math & history, ai-enhanced, a sofia-the-forester adventure, math & storywriting, math problem-solving and design modules, area and perimeter, total problems: 6.

## Total problems: 8

## Multiplication and Division

## Algebraic Thinking

## Total problems: 7

## Measurement

Total problems: 10.

## Geometry: Lines and Lines of Symmetry

## Geometry: Maps + Grids + Ordered Pairs

## Charts & Graphs

## Geometry: Figures, Shapes and Angles

## Total problems: 11

## Add & Take Away

## Place Value

Total problems: 14.

## Total problems: 9

## Total problems: 5

More coming soon, welcome to usable math. in this interactive website, you will find learning modules designed to develop mathematical problem solving skills among young learners in grades 3 to 6..

Our Modules explore standards-based math concepts including Fractions, Measurement, Geometry, Decimals, Money, and more. Usable Math is free to access using a computer, smartphone, or iPad.

## What do we mean by Usable Math?

The word Usable can read as follows:

U Able meaning you can do math problem solving.

Us Able meaning together all of us can do math problem solving.

Usable meaning anyone is able to learn math problem solving - with practice, effort, and support.

## What are the Usable Math Learning Modules?

Each learning module in Usable Math consists of a group of math word problems related to a specific mathematical concept. The problems are based on the Massachusetts Mathematics Curriculum Framework↗ as well as Common Core Standards↗ .

Each problem within a module consists of a question, three to four possible answer choices, and problem solving ideas and strategies provided by our four coaches: Estella Explainer, Chef Math Bear, How-to-Hound, and Visual Vicuna.

## How are the Modules Displayed online?

Each module has been developed using Google Slides.

## Click. Pause. Solve.

View each module in Slideshow.

## How do teachers, students and families use each module?

We strive to make every module on Usable Math kid friendly . Clicking on a module from the selections on the Modules Homepage , each user controls what happens during the learning experience by clicking to open strategies and spending time thinking about them before answering the question. The goal is for students, by themselves, in small groups, or with a teacher, or a family member, to analyze and understand what the problem is asking them to solve before providing an answer.

A question appears without its answer choices or any problem solving strategies.

Click one time and Estella offers a problem solving strategy.

Click again and the Bear offers a different strategy.

Click again and the Hound presents a strategy.

Click again and the Vicuna has an additional strategy approach.

The next click gives the four answer choices, but not yet the correct answer.

The final click highlights the correct answer from among the answer choices.

Before going to the next problem, a motivational statement and gif appears offering encouragement to the users.

## What is the purpose of the Motivational Statements between Problems?

Each motivational statement is intended to provide feedback and encouragement to students using the system. Following the insights of researchers into the use of praise and the development of growth mindsets in young learners, these motivational statements are designed to reward students’ effort, hard work, persistence, and belief in one’s self as a learner. We want youngsters to realize that they can learn anything with the right tools, the right beliefs, the right coaches, and their own work and practice.

## Need more help? Or have a question?

Reach out to us and we will do our best to get back to you within 12 hours.

## RESEARCH AND RESOURCES

We believe that every child deserves a strong foundation in mathematics. our platform is designed to provide engaging and effective math instruction to elementary school students, and we are proud to say that there is science behind the way we deliver this instruction..

UsableMath was formerly known as 4MALITY. As a result of our commitment to providing the best possible math instruction to elementary school students, we have rebranded our platform as UsableMath.com to better reflect our mission and approach to teaching mathematics.

Our platform is designed to provide engaging and effective math instruction to students in grades K-5, using a unique approach that emphasizes hands-on, problem-solving activities. We use interactive, multimedia elements such as videos, games, and simulations to help students understand key mathematical concepts and build a strong foundation of knowledge.

## Math Coaches

The use of virtual coaches that provides students with personalized support and feedback, has become increasingly popular in the field of math education. Research has shown that learning companions can be effective in improving student engagement and motivation, as well as helping students to better understand mathematical concepts and build a stronger foundation of knowledge. UsableMath employs the concept of learning companions to help students succeed in mathematics. Our virtual math coaches serve as personal guides, providing students with individualized support and feedback as they work through mathematical concepts and problems. These coaches, or learning companions, are designed to be like friends or mentors, helping students to build their confidence, overcome challenges, and achieve their full potential.

## How are we using Generative AI to enhance Usable Math Modules?

As developers of Usable Math, we are aware of both the educational potentials and complexities of Generative AI technologies. In our system, ChatGPT is used to support teachers and other adults to expand and enhance how math can be understood and taught in schools and homes. When you click on the AI icon, you are linked to a blog where we have recorded how AI proposes to solve selected math word problems found in Usable Math modules in a side-by-side view next to the hints we have authored from the perspectives of our four math coaches: Estella Explainer, Chef Math Bear, How-to-Hound, and Visual Vicuna. Our hope is that our strategies along with the AI-developed strategies will give adults more ways to inspire math learning among students.

Look for this icon for AI-enhanced guides.

## Prompts for ChatGPT, BingAI and Other Generative AI Tools

## Estella Explainer Prompt:

Take the personality of a math coach who provides strategies for understanding language and meaning of questions using kid-friendly vocabulary. The coach’s motto is "My job is to explain the math questions clearly so you know what you are supposed to do to solve the problem. Sometimes there are unfamiliar or confusing terms in the question. I will help you understand what they mean. The first math problem is {replace math word problem here}

## Chef Math Bear Prompt:

Take the personality of a math coach who provides computational strategies (addition, subtraction, multiplication and division) for solving problems. The coach’s motto is “I am here to make sure that you know how to do the math needed to answer these questions. Sometimes you need to do addition, subtraction, multiplication or division. Some questions ask you to use fractions, decimals, large numbers, and probability. When you need ideas for what to do, I am ready.

## How-to-Hound Prompt:

Take the personality of a math coach who uses strategic thinking clues (rounding, estimation, elimination of wrong answers) to solve math problems. The coach’s motto is “Answering math questions means you need a plan and my role is to help you figure out different strategies for solving problems. Sometimes you can get the correct answer by crossing out the wrong answers; other times you can round numbers up or down to make figuring a problem easier. I know other strategies as well.

## Visual Vicuna Prompt:

Take the personality of a math coach who offers ways to see problems and their solutions using animations, pictures, charts and graphs. The coach’s motto is “I find math is a lot clearer when I take the numbers and words and put them into pictures and drawings or move objects around so I can see how to answer a question. When you find yourself unsure about a question, see if one of my ideas will explain what to do.

## Growth Mindset Statements

As education researchers, we understand the important role that a positive attitude and motivation play in learner success. That's why we’ve integrated the use of growth mindset and motivational cues in Usable Math. After every math challenge, students receive messages that encourage them to adopt a growth mindset, reinforcing the idea that with effort and persistence, they can improve their math skills and achieve success.

A sample motivational cue from the Fractions module.

## Collaborative Problem Solving

We believe in the power of collaboration and teamwork when it comes to learning mathematics. Our platform creates a learning climate that promotes collaborative problem solving, providing students with opportunities to work together and explore mathematical concepts in a supportive and inclusive environment. Whether you are a student, teacher, or parent, we invite you to explore our platform and experience the science behind the way we deliver math instruction to elementary school students. Read more about our work on the Journal of STEM Education↗

## Papers and Presentations

Gattupalli, S., Edwards, S.A, Maloy, R. W., & Rancourt, M. (2023, October). Designing for Learning: Key Decisions for an Open Online Math Tutor for Elementary Students. Digital Experiences in Mathematics Education . https://doi.org/10.1007/s40751-023-00128-3 .

Gattupalli, S., Maloy, R.W., Edwards, S.A. & Gearty, A. (2023, August 23). Prompt Literacy for STEM Educators: Enhance Your Teaching and Learning with Generative AI. Berkshire Resources for Learning and Innovation (BRLI) Teaching with Technology Conference, Pittsfield, MA. ScholarWorks@UMass.

Blending Gardens and Geometry: Socio-cultural Approaches in Math Ed. Usable Math Blog. https://blog.usablemath.org/blending-gardens-and-geometry-socio-cultural-approaches-in-math-education .

Maloy, R. W., Gattupalli, S., & Edwards, S. A. (2023). Developing Usable Math Online Tutor for Elementary Math Learners with NoCode Tools . Scholarworks@UMass.

Gattupalli, S., Maloy, R. W., & Edwards, S. A. (2023). Prompt Literacy: A Pivotal Educational Skill in the Age of AI . Scholarworks@UMass.

Gattupalli, S., Maloy, R. W., & Edwards, S. (2023). Comparing Teacher-Written and AI-Generated Math Problem Solving Strategies for Elementary School Students: Implications for Classroom Learning . https://doi.org/10.7275/8sgx-xj08

Making Math Usable for Young Learners . Guest post on Rachelle Dené Poth's EdTech blog Learning as I go: Experiences, Reflections, Lessons Learned . January, 2023.

Math Learning Digital Choice Board (2020) . ScholarWorks, University of Massachusetts Amherst.

Maloy, R.W., Razzaq, L., & Edwards, S.A. (2014). Learning by Choosing: Fourth Graders Use of an Online Multimedia Tutoring System for Math Problem Solving . Journal of Interactive Learning Research , 25(1), 51-64.

Razzaq, L., Maloy, R. W., Edwards, S. A., Arroyo, I., & Woolf, B.P. (2011). “4MALITY: Coaching Students with Different Problem Solving Strategies Using an Online Tutoring System” (p. 359-364). In J. A. Konstan, Ricardo Conejo, Jose L, Marzo & Nuria Oliver, User Modeling, Adaptation and Personalization: 19th International Conference, UMAP 2011, Girona, Spain, July 11-15 Proceedings . Berlin: Springer Verlag.

Maloy, R.W., Edwards,S. A. & Anderson G. (2010, January-June). “Teaching Math Problem Solving Using a Web-based Tutoring System, Learning Games, and Students’ Writing .” Journal of STEM Education: Innovations and Research, 11 (1&2).

Edwards, S. A., Maloy, R.W., & Anderson G. (2010, February). “Classroom Characters Coach Students to Success.” Teaching Children Mathematics, 16 (6), 342-349.

Edwards, S. A., Maloy, R. W., & Anderson G. (2009, Summer). “Reading Coaching of Math Word Problems.” Literacy Coaching Clearinghouse . http://www.literacycoachingonline.org/briefs.html .

## MEET OUR TEAM

## Sharon Edwards , Ph.D.

Teacher Education & Curriculum Studies

College of Education, University of Massachusetts Amherst

Sharon (she/her) is a clinical faculty in the Department of Teacher Education and Curriculum Studies in the College of Education at the University of Massachusetts Amherst. Sharon is the big brains behind the development of Usable Math online math tutor.

Email : sae at umass dot edu

## Robert Maloy , Ph.D.

Elementary Math and History

Bob (he/him) is a history and math senior lecturer in the Department of Teacher Education and Curriculum Studies in the College of Education at the University of Massachusetts Amherst. Bob is the creative math content creator and storytelling artist behind Usable Math.

Email : rwm at umass dot edu

## Sai Gattupalli

Math, Science & Learning Technologies (MSLT)

Sai (he/him) is a PhD candidate at the University of Massachusetts Amherst, where he researches education technology to make STEM teaching and learning and more effective. Sai is passionate about understanding learner culture to create better learning experiences. Email : sgattupalli at umass dot edu Website : gattupalli.com

## Marguerite Rancourt

Lead Teacher, Discovery School at Four Corners

Greenfield, Massachusetts

Marguerite (she/her) teaches fourth grade at the Discovery School in addition to serving as Lead Teacher for the school. She has created and taught professional development workshop for other elementary school teachers. In 2018, she received the Pioneer Valley Excellence in Teaching Award. Students in her class have been contributing to the design of system throughout the 2022-2023 school year.

Graduate Student, Math and Digital Media Research Assistant

Sara Shea (she/her) is a graduate student at the University of Massachusetts Amherst. She is currently part of the university’s Collaborative Teacher Education Pathway program, working towards earning her master’s degree in elementary education.

## Katie Allan

Math and Digital Media Research Assistant

Katie Allan (she/her) is a senior at the University of Massachusetts Amherst. She is a math major with a concentration in education and passionate about math education.

## SUGGESTIONS AND FEEDBACK

We welcome ideas from teachers, students, and families about the usable math system..

Please complete our UsableMath Module Review and Feedback↗ form.

Your responses will help us to improve how the system works instructionally and technically. Let us know any additional thoughts about the problems, characters, hints, gifs, mindset statements and more.

Your message has been received. We will get back to you shortly. The average response time is approximately 6 hours.

## Upload a screenshot and solve any math problem instantly with MathGPT!

Drag & drop an image file here, or click to select an image.

EDUCATIONISE

- Jan 31, 2021

## 8 Free Math Problem Solving Websites and Applications

Updated: Oct 23

Are you struggling with math problems and looking for a way to improve your math problem-solving skills? Look no further because these 8 free math problem-solving websites and applications will give you a detailed solution to any math problem! Whether you're a student, educator, or just someone who wants to sharpen their math skills, these resources offer a wealth of interactive tools and exercises to help you master everything from basic arithmetic to advanced calculus.

6 Websites Offering Free Math Worksheets for All Levels

Not only are these websites and applications easy to use, but they also provide a fun and engaging way to learn and practice math. With some of these tools you can even ask math questions and get answers for free. Whether you are a teacher or a student, now you can avail online math problem-solving websites and smartphone applications to get the step-by-step answer to a complex problem. Teachers can even use these tools to develop math quizzes. With interactive games, video tutorials, and real-world examples, you'll be able to put your math knowledge to the test and see real results in no time.

So what are you waiting for? Check out these 8 free math problem-solving websites and applications and start boosting your math skills today!

More Articles from Educationise

Top 10 Websites that Teach Math Through Games

9 Must-Have AI Tools for Teachers to Create Interactive Learning Materials

Unlocking the Key to Student Motivation: 10 Strategies for Motivating the Students to Learn

The Latest in EdTech: 5 Innovative Tools and Technologies for the Classroom

In this article, we have compiled a list of 8 such resources that offer interactive tools and expert guidance to help you master math problem-solving and achieve success.

Mathway calculator is a smart math problem solver which gives you a step by step solution to a math problem. Just type your question and press enter to reveal a detailed answer to your math problem. This intelligent math problem solver, simplifies the process with step by step solutions. All it takes is a question input, and upon hitting enter, you unlock a detailed answer. This powerful tool is your key to conquering math challenges efficiently.

## 2. Photomath

It is a smartphone application which is also known as a camera calculator. All you have to do is take a picture of a math problem and upload it. This math app will scan the problem, solve it, and will display a detailed solution on your screen. Photomath, the renowned camera calculator app, makes math effortless. Snap a photo of your math problem, upload it, and watch as this math app scans, solves, and displays a comprehensive solution.

The application efficiently scans, computes, and presents you with a meticulous, step-by-step solution, answering the ever-persistent question: "What is the answer to this math problem?" It's a seamless way to navigate the world of mathematics, placing the solution at your fingertips.

## 3. Microsoft Math Solver

From algebra and trigonometry to statistics and calculus, Microsoft math solver provides you a free platform where you can not only get detailed solutions to your questions, but also other supporting materials such as interactive graphs, relevant practice problems, and online videos.

In addition to detailed answers, it equips you with valuable resources like interactive graphs, pertinent practice problems, and instructive online videos. It's your gateway to a richer mathematical learning experience, combining the power of answers with educational support.

Cymath is a free application that gives a step by step solution to any math problem. This app does not give you the final answer only, rather the whole solution is broken down into steps for your understanding.

This math problem solver with steps empowers you to tackle math problems with ease, no matter where you are. Simply input your math problem, and let Cymath work its magic, providing you with a detailed solution broken down into manageable steps. No more math conundrums – Cymath has got your back!

## 5. Snapcalc

This math application that allows you to take a picture of a math problem, solves it intuitively, and displays answer on the screen. This app provides solutions to many math problems ranging from algebra to calculus. The best thing about this app is that it can recognize handwritten math problems too. Isn’t that cool?

Unlock the magic of having your own on-the-go math tutor available at your fingertips! With this revolutionary solution, you'll never be left struggling with a math problem again. Simply snap a picture of the math problem you're facing, and voila! You'll receive a personalized step by step answer to a math problem along with a thorough explanation. It's like having a math genius in your pocket, ready to assist you at any moment.

## 6. QuickMath

Quick math provides quick solutions to students for all types of math problems, whether they are related to algebra, calculus, or matrices. Quick Math is your ultimate solution for rapid, hassle-free problem-solving in various mathematical domains. Whether you're grappling with algebra, calculus, or matrices, Quick Math delivers swift and precise answers, empowering students to excel in their studies.

Don't let complex math problems hold you back – unlock the power of Quick Math for seamless problem resolution and mathematical mastery.

## 7. Symbolab

Here is another amazing website that answers math problems. Symbolab is an online website that gives you detailed solutions to any math problem related to algebra, trigonometry, and calculus. It is an incredible online math solver that offers comprehensive solutions to a wide range of math problems.

Whether you're a student seeking math homework help or an individual looking for math assistance, Symbolab is your go-to resource. This math help platform provides step-by-step answers and thorough explanations, making it easier for you to grasp complex math concepts. Say goodbye to math-related stress and hello to seamless problem-solving with Symbolab!

## 8. Chegg Math Solver

It gives you full-time access to an online math calculator or math solver where you can type any math question and get a detailed explanation along with the final answer. Chegg Math Solver is an invaluable step-by-step math problem solver and calculator designed to enhance your comprehension of mathematical concepts.

With its instantaneous solutions, it empowers users to conquer problems in subjects like Pre-Calculus and beyond, making math learning more accessible and engaging.

Read our article: The Future of Education: 8 Predictions for the Next Decade

- Mathematics

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## Top organizations trust our math lessons and content

## 5 Million Students Helped Each Year

Interactive Mathematics helps over 5 Million students each year, who use our free lessons to help get ahead in math. We've taken that expertise and paired it with AI to provide a free to try AI math problem solver and math tutoring chat platform.

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We've combined a powerful mathematical computational engine with large language model artificial intelligence to create a state of the art math problem solver and AI math calculator. More accurate than ChatGPT, more powerful than a math calculator, and faster than a math tutor! Whether it's a tough word problem, algebra equation or advanced calculus, our AI math problem solver and calculator can solve it.

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Math calculators and online math solver apps aren't built to handle math word problems. We've fixed that! Our solver can interpret math word problems and determine what mathematical operations needs to be used to solve the problem.

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Stuck on a hard math homework problem? Upload a picture of your math problem or enter it and immediately get a step-by-step solution to your math problems.

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## Frequently Asked Questions

Can the math solver help me improve my grades (yes).

Now, we can't guarantee you'll get better grades, since the AI Math Solver is only half of the success equation, but the majority of students who use the application report full letter grade improvements in their grades. Most see improvements in their homework grades immediately.

## How long does it take to get an answer to my math problem?

Our application is available 24/7 and will start working on a solutions immediately after you send it. The time it takes to solve each problem is dependant on the complexity of the problem. The application will post a step by step solution.

## Can I really ask unlimited questions?

How is this app different from your tutoring service.

The AI Math Solver is FREE to try and powered by our proprietary mathematical computation engine and AI while our Tutoring service enables students to chat with professional (human) math tutors.

## Can it answer Physics questions?

Yes, the AI has been trainined on physics concepts and problems. However if it can't answer a question, then we recommend subscribing to our Tutoring service to connect with a physics tutor.

## Will it work on my phone?

Yes, the application is optimized for mobile and tablet, no need to download another app onto your phone. An internet connection is required.

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Yes, simply tap or click the carmera icon next to the Solve button in the application then select the image or if you're on your phone open your camera to immediately take a picture of your math problem.

The application can interpret most handwritten or typed math problems.

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Yes, it's free to try! You can ask 3 questions for free before reaching the free question limit.

## Which math subjects are covered?

The AI LLM has been trained on a large array of mathematical subjects including, but not limited to Basic Algebra, Advanced Algebra, Geometry, Trigonometry, Calculus, Advanced Calculus, Physics and much more.

## Can it Solve Basic Math Problems?

Yep! The AI LLM has been trained on a large array of mathematical subjects including, but not limited to Basic Algebra, Advanced Algebra, Geometry, Trigonometry, Calculus, Advanced Calculus, Physics and much more.

## How do I cancel my subscription?

You can cancel your subscription very easily in several ways.

1) Login, go to the Manage Account tab, then click the Cancel Plan button.

2) Click the cancel plan link in your sign up email.

3) If you can't find it or no longer have it, just send us an email at [email protected] and we'd be happy to assist you.

## Can I change my subscription?

Yes you certainly can! You can change your subscription by accessing the Manage Account page within the application or using the link provided in your sign up email. If you can't find it or no longer have it, just send us an email at [email protected] or ask your tutor for assistance they will be happy to assist.

## How much does it cost?

You can view the price of our subscription packages here . We're also providing freebies and exclusive deals from our large network of high quality partners. We obsess over the details to ensure you get 10x more value than the price tag!

## Can it Solve Calculus Math Problems?

Can it solve geometry math problems.

P.S. We're currently working to enable in app graphing to accompany solutions.

## Can it solve Trigonometric Functions?

Can it solve simple equations math problems.

Yep! The AI LLM has been trained on a large array of mathematical problems and subjects including, but not limited to Basic Algebra, Advanced Algebra, Geometry, Trigonometry, Calculus, Advanced Calculus, Physics and much more.

## Can it solve any math problems and equations?

How do i get math solutions.

Simply upload an image of your math problem or enter it and click Solve. Our AI math problem solving calculator will provide a step by step solution to the problem with the answer.

## Can it solve word problems?

Yes! Our AI math word problem solver will provide a step by step solution and answer to any word problem.

## How do you find the answers to math word problems?

Step by step solutions and answers to any word problem or equations can be found in the chat window indicated in blue text bubbles.

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## enVision® Mathematics - Elementary Math Curriculum

enVision Mathematics is grounded in problem-based and visual learning to create fun and engaging environments that invite inquiry and discovery.

- Hands-on problem-based activities to promote deep understanding of concepts.
- Easy, flexible differentiation to ensure students' learning needs are met.
- New dynamic presentations for an engaging online review of content.
- Digital content on the award-winning Savvas Realize® LMS.

## K-5 Math Program with Proven Efficacy

enVision’s highly effective instructional model and supporting features help students become proficient in mathematics.

## Deepen Conceptual Understanding

The unique Problem-Based Learning + Visual Learning lesson design combines evaluative and collaborative exercises to develop critical-thinking skills then solidifies the underlying math concepts.

## Student-centered Mathematics

enVision’s 3-Act Math, Let’s Investigate!, and Pick a Project components connect mathematical thinking to familiar real world scenarios so students stay engaged.

## Personalized and Adaptive Learning

Formative and summative assessments plus tools like Practice Buddy and Savvy Adaptive Practice tailor assignments and content to each student’s interests and learning level.

## Monitor and support student understanding

Assess student’s progress, customize content, and reach or exceed state standard proficiency through the Savvas Realize® platform.

## Elementary Math Program Built for Students, Teacher, and Families

- Student-led tasks promote student voice

## Family Engagement

Teach efficiently, teach effectively, multiple options, student-led tasks promote student voice.

- Real-World Problems Students see themselves in the math as they work to solve real-world problems they can relate to everyday.
- 3-Act Math 3-Act Math encourages inquiry and discussion among students by talking about real-world tasks.
- Pick a Project Pick a Project motivates kids because they choose the activity based on their interests.
- Family Support Family-friendly support for every topic and lesson.
- Resources Access to program resources, examples, at-home activities and worked-out problems.
- All-Day Accessibility 24/7 availability, no login required.
- Differentiation Comprehensive differentiation instruction and intervention support to address the needs of all learners.
- Language Support Language Support Handbook provides professional reading about language support in mathematics.
- Professional Development Program, topic, and lesson professional development videos provide valuable instructional support and insight into student learning.
- Student Assessment Choose how you assess student progress.
- Customizable Lesson Plans Customize and organize lesson plans, search by keyword or standard, and align to district framework on Savvas Realize.
- Lesson Presentation Slides Editable lesson Powerpoint slides give teachers flexibility to present lesson content.

## Award-winning Online Learning Management System

Savvas Realize® provides access to all the enVision K-5 program’s digital resources and downloadable, editable print materials to meet every educational standard.

A next-generation learning solution that provides an all-inclusive, one-year digital license to our most popular Math, Literacy, Science, and Social Studies national K–12 programs.

## More Ways to Enhance the enVision Math Program

- Meet Your Students Where They Are
- Personalized Programs
- Bilingual Support

## Savvas Math Screener & Diagnostic Assessments

An easy and reliable way to identify student needs, assign the right content, and measure growth, delivered on Savvas Realize®.

## SuccessMaker® Math helps learners at every level

This adaptive intervention program continuously personalizes math instruction for student growth or differentiation.

## Embedded Spanish-Language Materials

Fully integrated within the K-5 courseware, resources include Spanish text, audio, and video.

## School Stories

In these inspirational stories, you'll learn about what schools and districts from across the country are doing to help students succeed and shape the future of education.

## Frequently Asked Questions

enVision® Mathematics © 2024 for grades K-5 is the only middle grades math program that combines problem-based learning and visual learning to deepen students’ conceptual understanding. enVision is used by classrooms across the country and around the world. The latest enVision is even better with new digital Let’s Investigate! lessons which provide students with opportunities to take ownership of deeper exploration into problem-based learning. Ensure successful implementation with the comprehensive teacher support based on the 5 Practices.

enVision packs a unique one-two punch. Lessons start with Problem-Based Learning (PBL), where students must think critically about a real-world math problem, evaluate options, collaborate, and present solutions. This is followed by Visual Learning to solidify the underlying math concepts. It’s the best way to help kids better understand math ideas.

The program is made up of the following program components:

- Teacher’s Edition - Available in digital or print, the Teacher’s Edition includes wrap-around pages that provide direct instruction and teaching suggestions to engage students. The Interactive Teacher’s Edition online features annotation models and downloadable lesson resources.
- Student Edition - Interactive Student Edition—available in digital or print write-in format.
- enVision Digital - enVision digital courseware on Savvas Realize® includes robust digital tools that give teachers flexibility to use a digital, print, or blended format in their classrooms. Teachers can customize the program to rearrange content, upload their own content, add links to online media, and edit resources and assessments. All program resources, including personalized practice, remediation, and assessments are available in one location for easy lesson planning and presentation Students will use technology to interact with text and activities, and they can write directly in their digital Student Edition to make interaction with text more meaningful. Students will engage in activities that will inspire conceptual understanding, classroom discourse, and build their mathematical thinking skills, while learning to formulate and defend their own opinions.

The learning model in the enVision program—problem-based learning, visual learning, and data-driven differentiated instruction—has been researched and verified as effective. Core instruction used for every lesson has been shown to be effective for developing conceptual understanding.

enVision Mathematics features comprehensive differentiated instruction and intervention support to allow access for all students. The program’s balanced instructional model provides appropriate scaffolding, differentiation, intervention, and support for a broad range of learners, and is designed to facilitate conceptual understanding of mathematics for students at a range of learning levels.

Comprehensive, built-in differentiation resources support all levels of learners, including those with learning disabilities and ELLs, through personalized, adaptive learning.

The program meets a variety of student needs and provides Response to Intervention (RtI) during each lesson, at the end of each lesson, at the end of each Topic, and any time as indicated in the Teacher’s Edition. A description of RtI tiered instructional resources for the program is included in the Teacher’s Program Overview for each grade. The following are examples of tiered instructional support found online for each lesson.

Tier 1 ongoing Intervention includes the following resources that can be used during the lesson:

- Prevent Misconceptions. During the Visual Learning Example, a remediation strategy is included to address a common misconception about the lesson concept.
- Error Intervention (If... Then...). During Practice & Problem Solving, error intervention identifies a common error and provides remediation strategy Reteaching Set. This set is provided before independent practice to develop understanding prior to practice.
- Interactive Practice Buddy: Practice & Problem Solving, during the lesson, includes personalized practice for the Practice & Problem Solving portion of the lesson, along with Additional Practice or Enrichment; auto‐scored with on‐screen help, including Help Me Solve This and View an Example tools, tutorial videos, Math Tools, and one‐click animated glossary access.

Tier 2 strategic intervention includes the following resources that can be used at the end of the Lesson:

- Intervention Activity. This supports teachers working with small groups of struggling students.
- Reteach to Build Understanding. This provides guided reteaching as a follow‐up to the intervention activity.

Tier 3 intensive intervention instruction is delivered daily outside of the core math instruction, often in a one‐to‐one situation. The Math Diagnosis and Intervention System can be used for this purpose, for example.

- Variety of Instructional Strategies
- Multisensory instruction is provided in online Solve & Discuss It!/Explore It!/Explain It! activities that include audio, Visual Learning
- Animation Plus, Virtual Nerd videos, interactive Practice Buddyl: Practice & Problem Solving, Additional Practice, and Enrichment, online digital math tools, and online math games.

The authorship team is made up of respected educational experts and researchers whose experiences working with students and study of instructional best practices have positively influenced education. Contributing to enVision with a mind to the evolving role of the teacher and with insights on how students learn in a digital age, these authors bring new ideas, innovations, and strategies that transform teaching and learning in today’s competitive and interconnected world.

- Dr. Robert Q. Berry, III is an Associate Professor at the University of Virginia in the Curry School of Education with an appointment in Curriculum Instruction and Special Education. A former mathematics teacher, he teaches elementary and special education mathematics methods courses in the teacher education program at the University of Virginia. Additionally, he teaches a graduate level mathematics education course and courses for in-service teachers seeking a mathematics specialist endorsement.
- Zachary Champagne taught elementary school students in Jacksonville, Florida for 13 years. Currently he is working as an Assistant in Research at the Florida Center for Research in Science, Technology, Engineering, and Mathematics (FCRSTEM) at Florida State University.
- Dr. Randall Charles is Professor Emeritus in the Department of Mathematics at San Jose State University, San Jose, California. His research interests have focused on problem solving with several NCTM publications including Teaching and Assessing Problem Solving, How to Evaluate Progress in Problem Solving, and Teaching Mathematics Through Problem Solving. In recent years Dr. Charles has written and talked extensively on Big Ideas and Essential Understandings related to curriculum, teaching, and assessment.
- Francis (Skip) Fennell, PhD, is emeritus as the L. Stanley Bowlsbey professor of education and Graduate and Professional Studies at McDaniel College in Maryland, where he continues to direct the Brookhill Institute of Mathematics supported Elementary Mathematics Specialists and Teacher Leaders Project. A mathematics educator who has experience as a classroom teacher, principal, and supervisor of instruction, he is a past president of the Association of Mathematics Teacher Educators (AMTE), the Research Council for Mathematics Learning (RCML), and the National Council of Teachers of Mathematics (NCTM).
- Eric Milou is a Professor in the Department of Mathematics at Rowan University in Glassboro, NJ. He is an author of Teaching Mathematics to Middle School Students. Recently, his focus has been on approaches to mathematical content and the use of technology in middle grades classrooms.
- Dr. Jane Schielack is Professor Emerita in the Department of Mathematics and a former Associate Dean of Assessment and PreK-12 Education in the College of Science at Texas A&M University. A former elementary teacher, Dr. Schielack has pursued her interests in working with teachers and students to enhance mathematics learning in the elementary and middle grades. She has focused her activities for improving mathematics education in two main areas: teacher education and professional development and curriculum development.
- Jonathan Wray has involvement and leadership in a number of organizations and projects. His interests include the leadership roles of mathematics coaches/specialists, access and equity in mathematics classrooms, the use of engaging and effective instructional models to deepen student understanding, and the strategic use of technology in mathematics to improve teaching and learning.
- How do I sign up for an enVision digital demo? enVision digital courseware on Savvas Realize® includes robust digital tools that give teachers flexibility to use a digital, print, or blended format in their classrooms. Teachers can customize the program to rearrange content, upload their own content, add links to online media, and edit resources and assessments. Program resources, personalized practice, remediation, and assessments are available in one location for easy lesson planning and presentation. Click here to sign up for a demo.

enVision Mathematics is designed to achieve a coherent progression of mathematical content within each course and across the program, building lesson to lesson. Every lesson includes online practice instructional examples as the progression of topics builds, allowing students additional practice with these skills and to develop a deeper conceptual understanding.

At the beginning of every topic, teachers are provided with support for the focus of the topic, how the topic fits into an overall coherence of the grade and across grades, the balance of rigor in the topic, and how the practices enrich the mathematics in the topic. Carefully designed learning progressions achieve coherence across grades:

Coherence is supported by common elements across grades, such as Thinking Habits questions for math practices and diagrams for representing quantities in a problem. Coherence across topics, clusters, and domains within a grade is the result of developing mathematics as a body of interconnected concepts and skills. Across lessons and standards, coherence is achieved when new content is taught as an extension of prior learning—developmentally and mathematically. (For example, Solve & Share at the start of lessons engages students in a problem-based learning experience that connects prior knowledge to new ideas.)

Look Back! and Look Ahead! connections are highlighted in the Coherence part of Topic Overview pages in the Teacher’s Edition.

The Topic Background: Rigor page shows teachers how the areas of rigor will be addressed in the topic, and details how conceptual understanding, procedural skill and fluency, and application builds within each topic to provide the rigor required.

On the first page of every lesson, the Lesson Overview includes sections titled Focus, Coherence, and Rigor. The Rigor section highlights the element or elements of rigor emphasized in the lesson, which may be one, two, or all three. Features in every lesson support each element, but the emphasis will vary depending on the standard being developed in the lesson. The core instructional model features support for conceptual understanding, procedural fluency, and application during both instruction and practice, as described below.

- Problem-Based Learning Step 1 Problem-Based Learning supports coherence by helping students connect what they already know to a problem in which new math ideas are embedded. When students make these connections, conceptual understanding emerges. Students are given time to struggle to make connections to the mathematical ideas and conceptual understandings. They can choose to represent their thinking and learning in a variety of ways. Physical and online manipulatives are available.
- Visual Learning Step 2 Visual Learning further develops understanding of the lesson ideas through classroom conversations. The Visual Learning Example features visual models to help give meaning to math language. Instruction is stepped out to help students visually organize important ideas. Students perform better on procedural skills when the procedures make sense to them. Procedural skills are developed through careful learning progressions in the Visual Learning Example.
- Assess and Differentiate Step 3 Assess and Differentiate features a Lesson Quiz and a comprehensive array of intervention, on-level, and advanced resources for all learners, with the goal that all students have the opportunity for extensive work in the state standards. Leveled practice with scaffolding is included at times. Varied problems are provided and math practices are identified as appropriate. Higher Order Thinking problems offer more challenge. Students have ample opportunity to focus on conceptual understanding and procedural skills and to apply the mathematics they just learned to solve a range of problems.
- How does the program identify performance gaps? At the start of the school year, schools have the opportunity to implement norm-referenced and validated assessments to identify students’ strengths and areas for growth. The new award-winning Math Screener and Diagnostic Assessments and Growth work directly with the enVision Mathematics course on Savvas Realize to inform instruction and provide robust student data. As a result of the Diagnostic assessment, teachers are armed with flexible instructional recommendations personalized to every student.

enVision Mathematics portrays diverse individuals and groups in a variety of settings and backgrounds. The program has been reviewed and approved for unbiased and fair representation. The selections in enVision Mathematics include a wide variety of contemporary, classic, and multicultural authors.

Our educational materials feature a fair and balanced representation of members of various cultural groups, including racial, ethnic, and religious groups; males and females; older people; and people with disabilities. The program integrates social diversity throughout all of its lessons, and includes a balanced representation of cultures and groups in multiple settings, occupations, careers, and lifestyles. We strive to accurately portray diverse groups within our society as well as diversity within groups. Our programs use language that is appropriate to and respectful of our cultural diversity. We involve members of diverse ethnic and cultural groups in the concept development of our products as well as in the writing, editing, illustration, and design.

- What is Pick a Project? Pick a Project is one of the motivating activities in enVision Mathematics, giving students a choice by letting them pick from a selection of math projects. Pick a Project launches each enVision topic and engages students in a real-world math project that accommodates different learning styles and interests. Students work independently, with a partner, or in small groups. The math problem activates prior knowledge and is a great way to deepen understanding during the entire topic.

Transform Learning Outcomes

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## Nerd AI - Tutor & Math Helper 4+

Powered by chatgpt api, codeway dijital hizmetler anonim sirketi, designed for iphone.

- #6 in Education
- 4.7 • 8.6K Ratings
- Offers In-App Purchases

## iPhone Screenshots

Description.

Powered by the latest AI technology, Nerd AI is here to help you breeze through your studies. With a range of powerful features, Nerd AI transforms the way you approach writing, problem-solving, language learning, summarizing, coding, and expanding your knowledge on any topic. SCAN AND SOLVE Snap a photo of your question and get answers in a second with step-by-step explanations. WRITE EFFORTLESSLY Say goodbye to the writing struggles and hello to a world of effortless creativity. With our cutting-edge features, you can generate compelling essays, captivating blogs, and polished presentation scripts with utmost ease. Customize the word count and writing tone to match your requirements or cater to your specific audience perfectly. IMPROVE LANGUAGE SKILLS Ready to level up your language skills? Nerd AI has got your back! Our intelligent grammar hints and text translation tools will help you become a linguistic maestro. REWRITE Shape your words like a pro with Nerd AI's rewriting capabilities. Whether you need to paraphrase, simplify, continue texts, or fine-tune your writing drafts, we've got you covered. Make your writing shine and convey your thoughts with precision. LEARN TO CODE Do you want to learn to code but have no idea where to start? No problem! Nerd AI provides comprehensive assistance with any programming language. Understand the logic behind any code as Nerd AI explains it and take your coding skills to new heights. Input your code, and Nerd AI will check and optimize it for you, paving the way for coding success! TRIVIA QUEST: Knowledge is power, and Nerd AI loves to challenge your intellect! Engage in stimulating trivia quests covering a wide range of topics. Feel the power of Nerd AI as it transforms the way you write, learn languages, summarize texts, rewrite content, and delve into the world of coding. Download now and experience the joy of seamless learning and creativity! Privacy Policy: https://static.nerdai.app/privacy-en.html Terms of Use: https://static.nerdai.app/terms-conditions-en.html

Version 2.1.1

Hey there! The Nerd AI team sends big thanks! We've fixed some bugs based on your feedback. Your experience matters to us. Please leave us a review on the AppStore!

## Ratings and Reviews

8.6K Ratings

## App Needs a Little Bit Of Work, Even Though Amazing!

Great app nothing wrong with it but when I do need some help with like math, story problems, or maybe a different subject. There does need to be some more options for homework help. The only down side is that when it comes to story problems, or graphing, or multiple choice sometimes it lacks on it. For example the A.I understand what i’m trying to input from the picture. Yes maybe if I write it down it can understand my problem better but there is only a 1000 word cap and somethings I can’t input on my keyboard. lastly when it comes to taking the picture it will pick up on small details like 19. which is the problem i am on or the fill in the ____. Also the question or the date on the bottom possibly they can add feature to take those things off so the A.I doesn’t get confused by it. Thank you for reading have a Bless day!

## Actually explain.

My friend used this app and i caught a glance at it and downloaded it because at first i couldn’t believe an app that give you accurate answers. This app is pretty impressive. It actually tells you what to do instead of going straight into the answer, then demanding that you buy premium for questions thousands of people struggle on. The explanations are actually pretty simple to understand and as someone who is trying to get better grades in math this is amazing. I recommend you do actually get this app if you want to have step-by-step explanations which can get you ahead in your class.

## It’s actually good

I thought this was another one of those big scams to pay money to access the app. It’s not the case here. I can only ask and scan, but that’s even useful. I love this. 1000% recommend.

## App Privacy

The developer, Codeway Dijital Hizmetler Anonim Sirketi , indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer’s privacy policy .

## Data Used to Track You

The following data may be used to track you across apps and websites owned by other companies:

## Data Linked to You

The following data may be collected and linked to your identity:

## Data Not Linked to You

The following data may be collected but it is not linked to your identity:

- User Content
- Identifiers
- Diagnostics

Privacy practices may vary, for example, based on the features you use or your age. Learn More

## Information

- Weekly Subscription $4.99
- Lifetime Premium $39.99
- Nerd AI Premium W5 Free $4.99
- Nerd AI Premium W7 $6.99
- Nerd AI Premium Y7 $39.99
- Nerd AI Premium W7 Free $6.99
- Developer Website
- App Support
- Privacy Policy

## More By This Developer

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## IMAGES

## VIDEO

## COMMENTS

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