Maths Problem Solving Posters
Use this set of charts to prompt students in the problem solving process. Each chart includes an accompanying picture to assist students using each of the twelve problem solving strategies.
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Learning goals
- We are learning to recognise and explain multiplying and dividing by 10 using place value charts, numeral expanders or sliders and to use a calculator to understand the relationship between the place value of digits when multiplying and dividing by 10.
- We are learning to partition, rearrange and regroup numbers to at least tens of thousands using place value groupings.
- We are learning to estimate the quantity of objects in collections and when solving problems.
- We are learning to use estimation and rounding to check and explain calculations including transactions involving money.
- We are learning to check and explain the reasonableness of solutions to problems including money using appropriate estimation strategies.
- We are learning to use estimation and rounding to check the reasonableness of answers to calculations.
- We are learning to solve practical problems involving addition and multiplication and choosing operations and efficient calculation strategies to solve the problem.
- We are learning to use efficient mental and written strategies and calculators to solve problems.
- We are learning to solve practical problems involving natural and rational numbers and percentages in financial contexts.
- We are learning to select and apply efficient mental and written strategies and digital technologies to solve problems involving addition, subtraction, multiplication and division with whole numbers.
- We are learning to solve problems involving modelling addition, subtraction, equal sharing and grouping, using different strategies.
- We are learning to solve problems involving modelling addition, subtraction, multiplication and division, using different strategies.
Curriculum alignment
AC9M5N09
9
Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems, choosing operations and efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation
AC9M6N09
9
Use mathematical modelling to solve practical problems, involving rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, justifying the choices made
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
AC9M5N08
9
Check and explain the reasonableness of solutions to problems including financial contexts using estimation strategies appropriate to the context
AC9M4N07
9
Choose and use estimation and rounding to check and explain the reasonableness of calculations including the results of financial transactions
AC9M2N06
9
Use mathematical modelling to solve practical problems involving additive and multiplicative situations, including money transactions; represent situations and choose calculation strategies; interpret and communicate solutions in terms of the situation
AC9M3N05
9
Estimate the quantity of objects in collections and make estimates when solving problems to determine the reasonableness of calculations
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
ACMNA123
8.4
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
ACMNA291
8.4
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
ACMNA099
8.4
Use estimation and rounding to check the reasonableness of answers to calculations
ACMNA073
8.4
Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems
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
MA3-1WM
old
Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
MA3-2WM
old
Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations
MA3-3WM
old
Gives a valid reason for supporting one possible solution over another
MA3-5NA
old
Selects and applies appropriate strategies for addition and subtraction with counting numbers of any size
MA3-6NA
old
Selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
MA3-MR-01
new
Selects and applies appropriate strategies to solve multiplication and division problems
MA2-RN-01
new
Applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands
MA2-RN-02
new
Represents and compares decimals up to 2 decimal places using place value
MA3-MR-02
new
Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
MA2-AR-01
new
Selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers
MA2-AR-02
new
Completes number sentences involving addition and subtraction by finding missing values
MA2-MR-01
new
Represents and uses the structure of multiplicative relations to 10 Γ 10 to solve problems
MA2-MR-02
new
Completes number sentences involving multiplication and division by finding missing values
MA3-RN-01
new
Applies an understanding of place value and the role of zero to represent the properties of numbers
MA3-RN-02
new
Compares and orders decimals up to 3 decimal places
MA3-RN-03
new
Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values
MA3-AR-01
new
Selects and applies appropriate strategies to solve addition and subtraction problems
VCMNA191
Create simple financial plans
VCMNA209
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers and make estimates for these computations
VCMNA185
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
VCMNA182
Use estimation and rounding to check the reasonableness of answers to calculations
VCMNA153
Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems
Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.
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