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.
The purpose of this activity is to support students deriving new division facts from known facts in a measurement context. For example, if four sets of six can be made from 24, then eight sets of three can also be made from 24.
find the difference between two numbers
- Add 2-digit numbers with and without renaming.
explore ways to estimate number of objects
solve problems using addition facts
use addition facts to solve problems (Problems 1 and 2)
skip cound in 2s and 3s (Problem 3)
- Solve problems that involve halves and thirds.
- Devise and use problem-solving strategies (draw, act) to explore situations mathematically.
- Solve problems that involve halves and thirds.
- Use the terms 'greater than' and 'less than'.
- Give change for sums of money.
- Solve subtraction problems presented in different forms.
- Devise and use problem solving strategies to explore situations mathematically (guess and check, use drawing, use equipment, be systematic, act it out).
round money prices
- Be able to recall instantly doubles from 1 + 1 to 9 + 9.
- Use known doubles facts to work out addition problems mentally using part/whole reasoning.
find missing addends
solve problems involving money
solve problems using money
add hundreds
solve problems using addition strategies
Solve addition and subtraction problems by using place value partitioning.
solve subtraction problems by splitting numbers into parts
- Read and write words and symbols for fractions.
- Introduce the terms ‘unit fraction’ and ‘proper fraction’, numerator and denominator.
- Make and understand different ways to represent 1 (whole).
- Use regional representations to find fractions of sets.
- Solve problems that involve finding the whole from a300
add hundreds numbers
give change using money