# NA5-3: Understand operations on fractions, decimals, percentages, and integers.

This means students will understand calculations involving fractions, decimals, percentages and integers. It assumes accuracy in calculation and the exercising of appropriate choice between mental, written and machine methods given the complexity of the numbers involved and the significance of the calculation in the context of the problem. Understanding also implies the prudent use of estimation to check the reasonableness of calculations and as an end in itself where approximations are sufficient.

Students should be able to explain the calculation steps (procedures) they followed and justify those steps by describing the quantities involved. For example, the calculation 1.4 x 0.6 = 0.84 might be justified as 14/10 x 6/10 = 84/100 or 14 x 6 = 84 and the size of answer being about half of 1.4.

The problems solved should involve result unknown, for example 56% of 38 = , change unknown, for example % of 38 = 21.28, or start unknown, for example 56% of = 21.28.

Estimate and find percentages of whole number and decimal amounts.

find mean, median, mode of data

construct a graph

interpret data on a graph

comapre different graphs and decide which shows the data most clearly

Use the numbers facts with digits to solve a problem;

Use a systematic approach to get the number of ways that four numbers can add to 9.

find percentages of whole numbers

Solve multiplication and division problems that involve fractions.

solve multiplication and division problems involving decimals

solve addition problems using complementary numbers

solve subtraction problems using complementary numbers

explore complementary numbers in base 2

explore how computers solve mathematical operations

use a calculator to multiply and divide decimals

Design and use models to solve measuring problems in practical contexts.

Solve multiplication and division problems that involve fractions.

Estimate and find percentages of whole number and decimal amounts.

solve decimal multiplication problems by using compatible numbers

solve fraction multiplication problems by using compatible numbers

solve problems using doubling and halving, and other proportional adjustments

solve problems that involve finding and comparing percentages

learning how to divide a fraction by a fraction

solve multiplication and division problems with decimals

multiply and divide decimals

solve currency exchange rate problems

- add and subtract fractions
- look for patterns and make conjectures
- consider infinity in a new situation

- add and subtract fractions
- look for patterns and generalise with algebra
- consider infinity in a new situation.

Solve multiplication and division problems that involve decimals.

Solve multiplication and division problems that involve decimals.

find fractions of fractions