NA2-1: Use simple additive strategies with whole numbers and fractions.
This means students will learn to treat whole numbers as units of ones that can be split and recombined to make calculations easier. Additive strategies are about a type of thinking not the operation of addition. So additive strategies can be applied to addition (for example, 47 + 38 is 50 + 40 – 5), subtraction (for example, 74 – 8 = as 74 – 4 – 4 = ), multiplication (for example, 4 x 4 = as 4 + 4 + 4 + 4 = , which is 8 + 8 = ), division (for example, 18 ÷ 3 = , as 5 + 5 + 5 = 15 so 6 + 6 + 6 = 18). Additive strategies may also be applied to finding fractions of sets particularly halves, thirds, quarters, fifths, eighths and tenths. Level Two corresponds to students being proficient at the Early Additive stage of the number framework.
use arrays to solve multiplication and division
- Students will be able to demonstrate an understanding of halving even sets within the context of dividing by two.
- Students will be able to model the concept of remainder of one, when halving odd numbers.
name compatible numbers to 10
know pairs to 100
- Use part/whole strategies to solve multi-digit addition and subtraction problems.
- Use the most efficient mental strategy for a given problem.
solve story problems using simple additive strategies
Solve addition problems by using compatible numbers.
Solve multiplication problems by using repeated addition.
find compatible numbers to 50
find compatible numbers to 100
solve subtraction problems
use arrays to solve multiplication problems
link repeated additon to multiplication
find fractions of a set
use simple additive strategies to solve problems
use addition facts to solve problems
Solve multiplication problems by using repeated addition.
Solve addition and subtraction problems by going through tens.
Bridge to ten to solve number problems
bridge to ten to solve number problems
Find unit fractions of regions.
- Solve addition and subtraction using mental strategies.
- Explain how a mental strategy works using an example.
solve addition money problems
- Measure using grams.
- Apply addition to a measurement problem.
- Devise and use problem solving strategies to explore situations mathematically (be systematic, use equipment).
use a mental strategy (through tens) to solve problems
show a strategy on a number line
use mental strategies to solve problems involving 3 digit numbers