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Combination Locks - maths problem solving

Combination Locks - maths problem solving

Subject: Mathematics

Age range: 7-11

Resource type: Lesson (complete)

Gentleben

Last updated

22 February 2018

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A great resource to use with Y6 as a supply teacher after Sat's

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clazzashazza

What a great idea! Thank you.

AntoniaRebecca

This would be a useful resource for me when having to plan a lesson for an observation at a job interview.

Easy to use activity, especially for year5s

Super lesson, made a couple of tweaks and gave it to my yr7's who were really enthused. A great lesson for students not used to problem solving and thinking for themselves.

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Problem Solving

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Number Patterns   Age 5 to 11

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Working Backwards at KS1   Age 5 to 7

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Working Backwards at KS2   Age 7 to 11

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Reasoning   Age 5 to 11

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Visualising at KS1 - Primary Teachers   Age 5 to 7

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Conjecturing and Generalising at KS1 - Primary Teachers   Age 5 to 7

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Autumn Blocks

1 place value (a).

  • 1.  Place 3- and 4-digit numbers on a line
  • 2.  Place value in 4-digit numbers
  • 3.  Place value additions: 4-digit numbers

2 Addition & Subtraction (A)

  • 1.  Partitioning and column addition
  • 2.  Mental subtraction incl. counting up
  • 3.  Mental addition and subtraction
  • 4.  Subtraction: ‘Frog’ with 3-digit numbers

3 Measures and Data

  • 1.  Tell time to nearest minute: am/pm
  • 2.  Calculate time intervals; 24 hour clock
  • 3.  Units of time, record data and interpret
  • 4.  Rehearse 24 hour clock; time intervals
  • 5.  Units of time; draw line graphs

4 Place Value (B)

  • 1.  Deepen understanding of place value
  • 2.  Add/subtract powers of 10, nos > 1000
  • 3.  Use place value in calculations

5 Addition & Subtraction (B)

  • 1.  Mentally add/subtract near multiples
  • 2.  +/- 1-digit numbers to/from big numbers
  • 3.  Written subtraction

6 Multiplication and Division

  • 1.  Double and halve 2- and 3-digit numbers
  • 2.  Multiplication and division facts
  • 3.  Grid multiplication using tables facts
  • 4.  Division using efficient chunking
  • 5.  Larger divisions with remainders

7 Wellbeing

  • 1.  Key skills through expressive arts Y4

Spring Blocks

1 fractions.

  • 1.  Unit and non-unit fractions of amounts
  • 2.  Equivalent fractions; simplest form; +/-

2 Multiplication and Division (A)

  • 1.  Times tables: x/÷ facts
  • 2.  Times tables revision: factors & multiples

3 Shape (A)

  • 1.  Draw circles, study polygons, e.g. triangles
  • 2.  Identify and explore 3-D shapes
  • 3.  Co-ordinates: draw polygons

4 Decimals and Fractions

  • 1.  Introduction to one place decimals
  • 2.  Consolidate one-place decimal numbers
  • 3.  Rehearse equivalence: fractions/decimals
  • 4.  Decimals: x/÷ by 10/100; +/- 0.1

5 Addition and Subtraction

  • 1.  Adding money using column addition
  • 2.  Count up to find change & differences
  • 3.  Column addition: 3 or more 2-digit nos
  • 4.  Subtraction strategies; written methods

6 Multiplication and Division (B)

  • 1.  Multiply multiples of 10 and 100
  • 2.  Grid multiplication: vertical layout
  • 3.  Division: chunking with remainders

7 Shape (B)

  • 1.  Line of symmetry: identify and construct
  • 2.  Angle types; properties of polygons

Summer Blocks

1 place value.

  • 1.  Place and round 4-digit numbers on lines
  • 2.  Negative numbers in temperature
  • 3.  Count in 25s/1000s; Roman numerals
  • 1.  Column addition, including money
  • 2.  Expanded & compact column subtraction
  • 3.  Column subtraction, 3- & 4-digit numbers

3 Measures and Data (A)

  • 1.  Measure in m, cm, mm; convert units
  • 2.  Use SI units; bar charts

4 Decimals and Fractions (A)

  • 1.  Introduction: 1- and 2-place decimals
  • 2.  Decimal/fraction equivalents, 10/100ths
  • 3.  Compare, order 2-place decimal numbers

5 Multiplication and Division

  • 1.  Factors, multiples, mental multiplication
  • 2.  Scaling and correspondence problems
  • 3.  Efficient chunking with remainders
  • 4.  Multiplication problems, formal methods
  • 5.  Revise problems: all four operations

6 Measures and Data (B)

  • 1.  Find the area of rectilinear shapes
  • 2.  Perimeters of rectilinear shapes; area

7 Addition & Subtraction (B)

  • 1.  Appropriate strategies to add/subtract
  • 2.  Column add/subt with 3- & 4-digit numbers
  • 3.  Choose methods for add/subt problems

8 Decimals and Fractions (B)

  • 1.  Add/subt 0.1s & 0.01s; measures problems
  • 2.  Equivalent fractions; fraction problems

9 Wellbeing

10 local lockdown.

  • 1.  Local Lockdown home pack - Y4 Week 1
  • 2.  Local Lockdown home pack - Y4 Week 2

Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.

Extra Support worksheets come with guidance for a teacher or TA working with small groups. They can make a significant difference to children working below ARE. Extra support is linked to individual objectives-based units, but you can also explore a set for a whole year.

Procedural fluency is fundamental to numeracy, and Hamilton's practice worksheets are carefully differentiated for children working toward Age Related Expectations (ARE), at ARE and at greater depth. Practice is linked to individual objectives-based units, but you can also explore sets of worksheets for the whole year.

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Efficient Subtraction Lesson

This Year 4 Efficient Subtraction lesson covers the prior learning of looking at different methods of subtraction including counting on using a number line, before moving onto the main skill of identifying the most efficient method of subtraction.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

National Curriculum Objectives Mathematics Year 4: (4C2)  Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate Mathematics Year 4: (4C3)  Estimate and use inverse operations to check answers to a calculation Mathematics Year 4: (4C4)  Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why

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Lesson Slides

Lesson Slides

These lesson slides guide pupils through the prior learning of looking at different methods of subtraction including counting on using a number line, before moving onto the main skill of efficient subtraction. There are a number of questions to check pupils' understanding throughout.

Modelling PowerPoint

Modelling PowerPoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

Lesson Slides

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

Video Tutorial

Video Tutorial

During this Efficient Subtraction Video Tutorial, Aaron shows children how to subtract numbers more efficiently, either by adjusting both numbers by the same value or counting on using a number line to determine the difference.

1 Prior Learning

Worksheet

Interactive Activity

This Year 3 Subtract 3 Digits from 3 Digits 1 Game checks pupils’ understanding of using different methods to subtract.

Interactive Activity

This Subtract 3 Digits from 3 Digits Game checks pupils’ understanding of using column subtraction.

Video Tutorial

Aaron shows pupils how to subtract two 3-digit numbers using a place value chart and column subtraction in this Subtract 3 Digits from 3 Digits Video Tutorial.

2 Practical Activities

Supporting Activity

Supporting Activity

This efficient subtraction supporting activities sheet contains suggestions for additional tasks you might wish to use to support pupils' understanding of the concepts taught in the lesson.

2 Varied Fluency

Worksheet

This worksheet includes varied fluency questions for pupils to practise the main skill for this lesson.

Reasoning Practice Activity

Reasoning Practice Activity

This Year 4 Efficient Subtraction Reasoning Practice game can be played to consolidate knowledge of efficient methods.

Interactive Activity

This Year 4 Efficient Subtraction Game includes three questions to check pupils’ understanding of identifying the most efficient method of subtraction.

2 Reasoning & Problem Solving

Worksheet

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

Mixed Practice

Mixed Practice

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of efficient subtraction.

Discussion Problem

Discussion Problem

This Discussion Problems worksheet includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

Interactive Challenge Activity

Interactive Challenge Activity

This Year 4 Efficient Subtraction Maths Challenge is designed to check pupils' understanding of selecting the most suitable method of subtraction.

Worksheet

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

2 Additional Activities

Consolidation Pack

Consolidation Pack

This resource is aimed at Year 4 Expected and has been designed to give children the opportunity to consolidate the skills they have learned in Autumn Block 2 Addition and Subtraction.

Learning Video Clip

Learning Video Clip

Sebastian the explorer has left his camp and wandered into an unexplored part of the jungle. He finds himself in danger and needs to use his knowledge of efficient subtraction to get back to safety.

Home Learning Pack

Home Learning Pack

This Autumn week 7 Maths pack contains varied fluency, reasoning and problem solving worksheets.

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Year 4 Money Challenges Solving Money Problems

Welcome to our Year 4 Money Challenges page. Here you will find our selection of printable money problem worksheets to help your child learn to use their money skills to solve a range of problems.

These challenges are a great resource as an extension for more able pupils, or to consolidate and extend learning.

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Here are the instructions how to enable JavaScript in your web browser .

Year 3 Money Learning

Knowing how to handle and calculate with money is a very important life-skill.

During Year 3, children build on their knowledge and skills they have achieved during Year 2.

By the time children reach the end of Year 3, they should be able to:-

  • use decimal notation for amounts of money, e.g. £3.27
  • change amounts in £ to amounts in pence and back;
  • count money up to £10;
  • calculate change for amounts of money up to £1 mentally;
  • solve simple problems involving money;
  • use informal methods to add and subtract money amounts in £ and pence.

Our worksheets will support your child with these objectives.

10p coin image

Year 4 Money Challenges Information

The following worksheets involve solving challenges involving money amounts. They are a great way to consolidate and extend money learning once children are confident with counting money amounts.

The challenges start off at a fairly easy level with problems that involve lower value coins and smaller money amounts. The challenges later on involve more complex problems with larger values to calculate.

If you are teaching a class or group of children, then these sheets should give you some great differentiated learning activities with a money theme.

An answer sheet is available for each challenge provided.

The money challenges in each section are carefully graded, allowing you to introduce concepts at an easier level before introducing harder work, or differentiate within your class.

Using the sheets in this section will help your child to:

  • count money in coins;
  • develop their reasoning and thinking skills;
  • solve problems involving money.

All the money worksheets in this section will help your child to become more confident with money, and develop better problem solving skills.

These problems and challenges build on our Year 3 Money Challenges .

Year 4 Money Challenges Worksheets

There are 3 challenges - Tyger's Money Square Challenge, Row of Coins Challenge and How Much Money Challenge.

Each main challenge has several versions which start with the easiest level and progress onto harder levels of challenge.

Row of Coins Challenges

  • Row of Coins Challenge 4:1
  • PDF version
  • Row of Coins Challenge 4:2

Tyger's Money Square Challenges

  • Tyger's Money Square Challenge 4:1
  • Tyger's Money Square Challenge 4:2
  • Tyger's Money Square Challenge 4:3

How Much Money Challenges

  • How Much Money Challenge 4:1
  • How Much Money Challenge 4:2

Match the Coins

  • Match the Coins 4:1
  • Match the Coins 4:2

Extension Activity Ideas

If you are looking for a way to extend learning with the How Much Money challenge, why not...

Try playing 'How Much Money' in pairs.

One person chooses 2 or 3 coins and the other person has to ask questions which involve 'yes' or 'no' answers.

To make the game more interesting, have a maximum of 5 questions before you make a guess!

Looking for some more UK money worksheets?

We also have some counting money worksheets with amounts up to £1 or £5.

The sheets are at a more basic level than those on this page.

  • Free UK Money Worksheets Coins up to £1
  • Year 3 Money Worksheets Coins up to £5
  • Year 3 Money Challenges

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Money Riddles

These puzzles are a great money starter activity to get children thinking and puzzling out which the correct answer is out of a set number of choices. They are great for partner work too.

UK Money Riddles

If you are looking for some fun learning puzzles involving money, then look no further.

The puzzle sheets in this section are designed primarily for children in Years 3 and 4 who need to develop their problem solving skills and mathematical language.

Using these challenges will help your child to:

  • apply their existing skills to puzzle out clues;
  • understand money terminology;
  • develop their thinking skills.
  • Money Riddles for Kids (UK coins)

Money Column Addition Worksheets

Here you will find a selection of Column Addition Money sheets designed to help your child add different amounts of money.

Using these sheets will help your child to:

  • add up a range of money amounts involving decimals.

The worksheets in this section are aimed at children in Years 4 and 5.

  • Column Addition Money Worksheets (UK)

Money Column Subtraction Worksheets

Here you will find a selection of Column Subtraction Money sheets designed to help your child subtract different amounts of money.

  • subtract a range of money amounts involving decimals.
  • Column Subtraction Money Worksheets (UK)
  • Counting Money Games

Here is our collection of counting money games for kids.

All of these games are suitable for kids aged from 1st grade and upwards.

Playing games is a great way to practice math skills in a fun way. Games also help to develop reasoning, thinking and memory.

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Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

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  1. Year 4 Maths Problem Solving Combination Locks by

    outstanding maths lesson year 4 problem solving

  2. Year 4 Addition & Subtraction

    outstanding maths lesson year 4 problem solving

  3. Pinpoint Maths Year 4 Problem Solving and Reasoning Challenge Cards: Y4

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  4. Maths Problem Solving Year 4 2nd edition

    outstanding maths lesson year 4 problem solving

  5. Year 4 Solve Number Problems Maths Challenge

    outstanding maths lesson year 4 problem solving

  6. HOPE Maths Problem Solving Cards Year 4

    outstanding maths lesson year 4 problem solving

VIDEO

  1. Time & Work Questions of Quadratic Equations in 15 mins

  2. A Nice Math Olympiad Algebra Problem

  3. Year 4 Problem Solving

  4. What makes an outstanding Maths lesson in England

  5. Problem set 4 class 9 algebra question 1 to 5

  6. Math Lesson #maths #mathtricks #youtubeshorts

COMMENTS

  1. Combination Locks

    Taught to Y5 & Y6 children, working between level 2 and 5. Differentiated questions - range of maths topics; LA/AA/MA. Combination locks resources - recording sheet for chn. Page 1: solve teacher's examples; Page 2: create own clues. **UPDATE (November 2015) - As per comment, there should be no "s" on the web address in the plan.

  2. Problem Solving

    Problem Solving. This feature is somewhat larger than our usual features, but that is because it is packed with resources to help you develop a problem-solving approach to the teaching and learning of mathematics. Read Lynne's article which discusses the place of problem solving in the new curriculum and sets the scene.

  3. Problem-solving Maths Investigations for Year 4

    By Nick Barwick - 7 Aug 2018. Hamilton provide an extensive suite of problem-solving maths investigations for Year 4 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor - high ceiling' activities for all. Explore all our in-depth problem solving investigations for Year 4.

  4. Problem solving

    Year 4 KS2 Maths Problem solving learning resources for adults, children, parents and teachers. ... The Regenerators Green Lessons. BBC Teach: KS2 Maths. Unio. External link. External link ...

  5. FREE Year 4 Maths Worksheets, Tests & Homework (PDFs)

    Year 4 Maths Worksheets for fluency, reasoning, and problem solving Year 4 Maths Worksheets to improve fluency, mental maths and arithmetic skills: Fluent in Five. Fluent in Five worksheets provide a series of questions designed to take no more than 5-10 minutes and to help children develop their written and mental maths skills. Developing ...

  6. Maths lesson units for Year 4 students

    Free online Maths lesson units for Year 4 students. Skip navigation. Teachers - download adaptable teaching resources. Language Picker. Specialist Subjects Teachers. Year 4, Maths, Units: Number. Reasoning with 4-digit numbers. 10 Lessons. Number. ... Solving measure and money problems. 15 Lessons. Geometry. 2-D Shape and Symmetry. 15 Lessons ...

  7. Year 4 Maths Problems Challenge Cards (teacher made)

    Here are some of the curriculum aims, which children need to meet by the end of year 4. Included in these challenge cards are exercises to help reinforce learning on these key maths topics: Converting from hours to minutes in a practical context. Measure and calculate the perimeter of a figure in centimetres and metres.

  8. 20 Word Problems For Year 4: Develop Problem Solving Skills

    Word problems for Year 4 play an important role in Year 4 maths. In Year 4, the main focus is to ensure that pupils are becoming more fluent with whole numbers and the four operations. Students work to develop efficient written methods and to be accurate with their calculations. Pupils in Year 4 are exposed to a wider range of problem-solving ...

  9. Year 4 Maths Problem-Solving Resources

    These helpful ready-to-use teaching materials have been made to support the learning aims of the new 2014 key stage 2 maths national curriculum. Our year 4 maths problem-solving resources have been put together to align with the curriculum topic Number - Multiplication and Division. They support the curriculum's aim: "solve problems involving ...

  10. Year 4 Maths

    1.Place 3- and 4-digit numbers on a line. 2.Place value in 4-digit numbers. 3.Place value additions: 4-digit numbers. Addition & Subtraction (A) 2 Addition & Subtraction (A) Unit11 days. 1.Partitioning and column addition. 2.Mental subtraction incl. counting up. 3.Mental addition and subtraction.

  11. Year 4 Efficient Subtraction Lesson

    This Year 4 Efficient Subtraction lesson covers the prior learning of looking at different methods of subtraction including counting on using a number line, before moving onto the main skill of identifying the most efficient method of subtraction. The lesson starts with a prior learning worksheet to check pupils' understanding.

  12. 15 of the best KS4 maths lesson plans by Colin Foster

    15 of the best KS4 maths lesson plans by Colin Foster. Whether it's mean and median, highest common factor or lowest common multiple, Colin Foster has you covered with his free Key Stage 4 maths lesson plans. by Colin Foster. DOWNLOAD A FREE RESOURCE! Year 7 maths worksheets - 72 free, editable printables.

  13. FREE!

    Plan out your year 4 maths lessons using this carefully sequenced small steps of learning overview. Made for full coverage of the maths national curriculum objectives for year 4 Fractions, the lessons build on the children's knowledge of recognising and using fractions as parts of a whole. They introduce children to the concepts of identifying fractions greater than one; partitioning mixed ...

  14. 1,240 Top "Year 4 Problem Solving" Teaching Resources curated ...

    Twinkl Move PE - Year 4 OAA Lesson 6: Outstanding Orienteering . 2 reviews ... PlanIt Maths Year 4 Measurement Lesson Pack 24: Time Problems Involving Hours and Minutes ... Explore more than 1,240 "Year 4 Problem Solving" resources for teachers, parents and pupils as well as related resources on "Problem Solving Year 4" ...

  15. Daily Maths Word Problems

    A set of 20 problem-solving questions suited to year 4 students. This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics. It provides students with the opportunity to work through 20 maths word problems, identifying the important information and how they can work it ...

  16. Year 4 Money Challenges

    Solving Money Problems. Welcome to our Year 4 Money Challenges page. Here you will find our selection of printable money problem worksheets to help your child learn to use their money skills to solve a range of problems. These challenges are a great resource as an extension for more able pupils, or to consolidate and extend learning.

  17. How to Deliver an Outstanding Maths Lesson in EYFS

    5. Use high quality targeted support to help all children mathematics. Sometimes, even if you've covered the four key principles so far, children still have gaps in their maths knowledge. If you find a gap, it's important to move quickly so children have an opportunity to explore what they don't know.

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  20. Problem-Solving Y2 Maths Schemes Planning

    Outstanding Maths Lessons for Year 2 on Problem-Solving. Our extensive range of outstanding maths lessons for year 2 on problem-solving are here to engage your key stage 1 pupils and enhance their learning. When planning maths schemes, these fantastic lesson packs will make your life easier. Each year 2 problem-solving lesson pack comes with: