NA3-1: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.
This means students will use a range of mental strategies based on partitioning and combining to solve addition and subtraction problems with multi-digit whole numbers and simple decimals (tenths). These strategies include standard place value, for example 603 – 384 = as 60 – 38 tens less one (219), rounding and compensating, for example 923 – 587 = as 923 – 600 + 13 = , and reversing (applying inverse), for example 923 – 587 = as 587 + = 923. Students should also connect known multiplication facts to solve multiplication and division problems, for example 13 x 6 = as 10 x 6 + 3 x 6 = (distributive property), 14 x 9 = as 2 x (7 x 9) = (associative property) and 36 ÷ 9 = using 4 x 9 = 36 (inverse). This multiplicative understanding allows students at Level Three to find fractions of quantities, for example two-thirds of 24 as 24 ÷ 3 x 2 = 16, find simple equivalent fractions related to doubling and halving, for example 3/4 = 6/8 , to add and subtract fractions with the same denominators, for example 3/4 + 3/4 = 6/4 = 1 2/4, and to convert improper fractions to mixed numbers, for example 17/3 = 5 2/3. Students should know the decimals and percentage conversions of simple fractions (halves, quarters, fifths, tenths) and use these to solve simple percentage of amount problems, for example 50% is fifty out of one hundred. 50% is one half so 50% of 18 is 9 or five is half of ten. Level Three corresponds to the Advanced Additive stage of the number framework.
find 1/3 of money amounts
use addition to solve money problems
use compatible numbers to solve addition problems
find the mean of a set of members
use mental strategies (compatible numbers) to solve problems
use the "through tens" strategy to solve addition and subtraction problems
solve problems using additive strategies (Problems 1 and 2)
use multiplication facts to solve problems (Problem 3)
find outcomes using a systematic approach (Problem 4)
find fractions of whole numbers (Problems 1 and 2)
use addition and systematic approach to solve problems (Problem 3)
solve problems involving addition, subtraction, multiplication, division
use multiplication to solve perimeter and area problems.
use mutliplication facts to make a reasonable estimate
use division facts to solve problems
use mental strategies to solve addition problems
solve problems using multiplication and division facts
write family of facts based on a given equation
choose a strategy to solve addition and subtraction problems
Solve subtraction problems by using addition.
solve division problems by using multiplication facts
find fractions of whole numbers
- 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
investigate patterns in multiplication facts
identify features of two dimensional shapes (Problem 1)
multiply and divide numbers by multiples of 10 (Problem 2)
explore fractions (Problem 3)
fit puzzle pieces together to form a square (Problem 4)