Including the Jump Strategy, Split Strategy and Compensation Strategy, these charts provide a highly visual, step by step approach to assist students learning to add and subtract 2 digit numbers.
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
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
Extend and apply knowledge of addition and subtraction facts to 20 to develop efficient mental strategies for computation with larger numbers without a calculator
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
Recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts
Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation
Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
Selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
Describes mathematical situations and methods using everyday and some mathematical language, actions, materials, diagrams and symbols
Uses objects, diagrams and technology to explore mathematical problems
Supports conclusions by explaining or demonstrating how answers were obtained
Applies place value, informally, to count, order, read and represent two- and three-digit numbers
Selects and applies appropriate strategies for addition and subtraction with counting numbers of any size
Gives a valid reason for supporting one possible solution over another
Selects and applies appropriate problem- solving strategies, including the use of digital technologies, in undertaking investigations
Uses mental and written strategies for addition and subtraction involving two-, three-, four- and five-digit numbers
Uses appropriate terminology to describe, and symbols to represent, mathematical ideas
Selects and uses appropriate mental or written strategies, or technology, to solve problems
Checks the accuracy of a statement and explains the reasoning used
Constructs and completes number sentences involving multiplicative relations, applying the order of operations to calculations
Uses number bonds and the relationship between addition and subtraction to solve problems involving partitioning
Applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands
Represents and compares decimals up to 2 decimal places using place value
Selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers
Completes number sentences involving addition and subtraction by finding missing values
Represents and uses the structure of multiplicative relations to 10 × 10 to solve problems
Completes number sentences involving multiplication and division by finding missing values
Applies an understanding of place value and the role of zero to represent the properties of numbers
Compares and orders decimals up to 3 decimal places
Determines percentages of quantities, and finds equivalent fractions and decimals for benchmark percentage values
Selects and applies appropriate strategies to solve addition and subtraction problems
Selects and applies appropriate strategies to solve multiplication and division problems
Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
Create simple financial plans
Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation
Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences
Solve simple addition and subtraction problems using a range of efficient mental and written strategies
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