Additive strategies
Learning intention
Students will learn to use mental and written strategies to add and subtract numbers up to 5 digits, selecting from a range of strategies.
Syllabus outcome
MAO-WM-01 develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
MA2-RN-01 applies an understanding of place value and the role of zero to represent numbers to at least tens of thousands
MA2-AR-01 selects and uses mental and written strategies for addition and subtraction involving 2- and 3-digit numbers
MA2-AR-02 completes number sentences involving addition and subtraction by finding missing values
National Numeracy Learning Progression
Additive strategies
- AdS6: Flexible strategies with combinations to 10
- AdS7: Flexible strategies with two-digit numbers
- AdS8: Flexible strategies with three-digit numbers and beyond
Task outline
Full task descriptions are included in the resource, available via the Universal Resources Hub.
Quantifying collections
Task 1: Number busting
Students use an understanding of structure, number facts, counting principles and part-part-whole number knowledge to examine different ways of quantifying the same collection (two activities).
Task 2: Handfuls
Students explore different ways of structuring a collection to answer the question: “how many?” (one activity).
Task 3: Minute to win it
Students use an understanding of structure, number facts, counting principles and part-part-whole number knowledge to quantify a large collection (one activity).
Developing flexible strategies with two-digit numbers and beyond
Task 4: Bundling battle
Students aim to be the first pair of players to reach a target number, regrouping and renaming into tens and ones as they grow their collection (one activity).
Task 5: Extending thinking
Students answer questions related to understanding place value (one activity).
Task 6: Trading game
Students work with a partner to use their knowledge of regroup and renaming (‘trading’) to build their cumulative total (3 activities).
Doubling strategies
Task 7: Near doubles bingo
Students use their understanding of doubles to derive facts with near doubles (2 activities).
Task 8: Double or near double?
Students choose to double, or almost double, a number to be the first person (or pair of students) to reach zero. This game draws on students use of flexible strategies whilst supporting their awareness of doubles and near doubles (3 activities).
Task 9: Doubles fill
A two versus two game supporting fluency with doubles facts and building number sense by connecting quantities with symbols and language (5 activities).
Task 10: Three tens in a row
This game can be played as two players versus two players to promote conversation and reasoning. Students use their understanding of patterns and additive strategies to combine two numbers that make ten (one activity).
Task 11: 101 and you’re out!
Students use their understanding of place value and additive strategies to get as close to 100 as possible (five activities).
Task 12: Dicey addition
Students use their number sense to create equations (number sentences) where the closest to a total of 100 wins (2 activities).
Task 12: Closest to 100
Students use their number sense to create a variety of equations (number sentences) totalling 100 (3 activities).
Task 13: Subtraction face off
Students apply their number sense and additive strategies whilst exploring the concept of difference (2 activities).