Peeling The Problem

Worksheets

Mathematics Number & Place Value Patterns & Algebra

View Curriculum Codes

Description

This worksheet contains three open-ended problem-solving questions which could be used as an explicit teaching activity, independent activity, during maths rotations or as a guided maths group. The worksheet provides space for students to show their working out by applying a problem-solving strategy. While this was predominately created as part of the Year 3 Problem Solving unit, it would also be a great activity for Year 4 students.

Suitable for

Relief Teachers

Lesson Structure

Individual Activity
Rotations / Group Work
Class Activity

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Curriculum Codes

AC9M2A02 9

Recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts

AC9M3N07 9

Follow and create algorithms involving a sequence of steps and decisions to investigate numbers; describe any emerging patterns

AC9M4N05 9

Solve problems involving multiplying or dividing natural numbers by multiples and powers of 10 without a calculator, using the multiplicative relationship between the place value of digits

AC9M4A02 9

Recall and demonstrate proficiency with multiplication facts up to 10 x 10 and related division facts; extend and apply facts to develop efficient mental strategies for computation with larger numbers without a calculator

AC9M4N06 9

Develop efficient strategies and use appropriate digital tools for solving problems involving addition and subtraction, and multiplication and division where there is no remainder

AC9M4N08 9

Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems using number sentences and choose efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation

AC9M4A01 9

Find unknown values in numerical equations involving addition and subtraction, using the properties of numbers and operations

AC9M3N06 9

Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate problems using number sentences and choose calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation

AC9M3A02 9

Extend and apply knowledge of addition and subtraction facts to 20 to develop efficient mental strategies for computation with larger numbers without a calculator

ACMNA057 8.4

Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies

ACMNA073 8.4

Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems

ACMNA075 8.4

Recall multiplication facts up to 10 × 10 and related division facts

ACMNA082 8.4

Solve word problems by using number sentences involving multiplication or division where there is no remainder

ACMNA083 8.4

Find unknown quantities in number sentences involving addition and subtraction and identify equivalent number sentences involving addition and subtraction

ACMNA055 8.4

Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation

ACMNA060 8.4

Describe, continue, and create number patterns resulting from performing addition or subtraction

MA1-1WM old

Describes mathematical situations and methods using everyday and some mathematical language, actions, materials, diagrams and symbols

MA1-2WM old

Uses objects, diagrams and technology to explore mathematical problems

MA1-3WM old

Supports conclusions by explaining or demonstrating how answers were obtained

MA1-4NA old

Applies place value, informally, to count, order, read and represent two- and three-digit numbers

MA2-1WM old

Uses appropriate terminology to describe, and symbols to represent, mathematical ideas

MA2-2WM old

Selects and uses appropriate mental or written strategies, or technology, to solve problems

MA2-3WM old

Checks the accuracy of a statement and explains the reasoning used

MA2-5NA old

Uses mental and written strategies for addition and subtraction involving two-, three-, four- and five-digit numbers

MA2-8NA old

Generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values

MA2-6NA old

Uses mental and informal written strategies for multiplication and division

MA2-PF-01 new

Represents and compares halves, quarters, thirds and fifths as lengths on a number line and their related fractions formed by halving (eighths, sixths and tenths)

MA1-CSQ-01 new

Uses number bonds and the relationship between addition and subtraction to solve problems involving partitioning

MA2-MR-02 new

Completes number sentences involving multiplication and division by finding missing values

MA2-MR-01 new

Represents and uses the structure of multiplicative relations to 10 × 10 to solve problems

MA2-AR-02 new

Completes number sentences involving addition and subtraction by finding missing values

MA2-AR-01 new

Selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers

MA2-RN-02 new

Represents and compares decimals up to 2 decimal places using place value

MA2-RN-01 new

Applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands

VCMNA138

Describe, continue, and create number patterns resulting from performing addition or subtraction

VCMNA139

Use a function machine and the inverse machine as a model to apply mathematical rules to numbers or shapes

VCMNA135

Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies

VCMNA153

Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems

VCMNA155

Recall multiplication facts up to 10 × 10 and related division facts

VCMNA156

Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder

VCMNA162

Solve word problems by using number sentences involving multiplication or division where there is no remainder

VCMNA160

Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies

VCMNA163

Use equivalent number sentences involving addition and subtraction to find unknown quantities

VCMNA164

Define a simple class of problems and solve them using an effective algorithm that involves a short sequence of steps and decisions

VCMNA133

Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation

VCMNA103

Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences

VCMNA107

Solve simple addition and subtraction problems using a range of efficient mental and written strategies

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