NA5-3: Understand operations on fractions, decimals, percentages, and integers.
Elaboration on this Achievement Objective
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 = .gif){kind=small}
, change unknown, for example .gif){kind=small}
% of 38 = 21.28, or start unknown, for example 56% of .gif){kind=small}
= 21.28.
Teaching resources for this Achievement Objective
Level Five
Number and Algebra
Numeracy activities
Level Five
Integrated
Figure It Out activities
This is a level 5 statistics activity from the Figure It Out series.A PDF of the student activity is included.
Level Five
Number and Algebra
Problem solving activities
Level Five
Number and Algebra
Figure It Out activities
This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.A PDF of the student activity is included.
Level Five
Number and Algebra
Numeracy activities
Level Five
Number and Algebra
Figure It Out activities
This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework. A PDF of the student activity is included.
Level Five
Number and Algebra
Secondary activities
These exercises, activities and games are designed for students to use independently or in small groups to practise number properties. Some involve investigation (see Related Resources) and may become longer and more involved tasks with subsequent recording/reporting. Typically an exercise is a 10...
Level Five
Number and Algebra
Figure It Out activities
This is a level 5 number link activity from the Figure It Out series. It relates to Stage 8 of the Number Framework. A PDF of the student activity is included.
Level Five
Integrated
Secondary activities
These exercises and activities are for students to use independently of the teacher to practice number and measurement skills.
Level Five
Number and Algebra
Numeracy activities
Level Five
Number and Algebra
Numeracy activities
Level Five
Number and Algebra
Figure It Out activities
This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.
Level Four
Level Five
Number and Algebra
Secondary activities
These exercises and activities are for students to use independently of the teacher to practice number properties.
Level Five
Number and Algebra
Secondary activities
These exercises and activities are for students to use independently of the teacher to practice number properties
Level Five
Number and Algebra
Rich learning activities
The purpose of this activity is to engage students in recognising patterns in recurring decimals, and linking the size of those decimals to the division of 100 that produces them.
Level Five
Number and Algebra
Figure It Out activities
This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.A PDF of the student activity is included.
Level Five
Number and Algebra
Numeracy activities
Level Five
Number and Algebra
Figure It Out activities
This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework. A PDF of the student activity is included.
Level Five
Number and Algebra
Figure It Out activities
This is a level 5 number link activity from the Figure It Out series. It relates to Stage 8 of the Number Framework. A PDF of the student activity is included.
Level Five
Number and Algebra
Units of Work
This unit has a brief look at what is known about Egyptian Fractions. These are unit fractions – fractions whose numerator is one. We look at how fractions can be represented in terms of Egyptian Fractions. Finally we suggest a web site that students might like to use as resource material for a...
Level Five
Number and Algebra
Units of Work
This unit has a brief look at what is known about Egyptian Fractions. These are unit fractions – fractions whose numerator is one. We look at how fractions can be represented in terms of Egyptian Fractions. Finally we suggest a web site that students might like to use as resource material for a...
Level Five
Number and Algebra
Rich learning activities
The purpose of this task is to engage students in expressing a percentage as a fraction and to be able to apply this as a multiplier.
Level Five
Number and Algebra
Numeracy activities
Level Five
Number and Algebra
Numeracy activities
Level Five
Number and Algebra
Figure It Out activities
This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.A PDF of the student activity is included.