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NA4-5: Know the equivalent decimal and percentage forms for everyday fractions.

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Elaboration on this Achievement Objective

This means students will understand decimals and percentages as equivalent fractions, for example 3/8 = 375/1000 = 0.375 and 3/8 = 37.5/100 = 37.5%. They should know the fractions for halves, thirds, quarters, fifths, eighths, and tenths as decimals and percentages and be able to convert these decimals and percentages back to their simplest fraction form, for example 0.8 = 4/5. The fractions required also include those greater than one, for example 240% = 2.4 = 12/5.

 

Teaching resources for this Achievement Objective
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More Fractions

Level Four
Number and Algebra
Figure It Out activities
This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.A PDF of the student activity is included.

express simple fractions to tenths or hundredths

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Mystery Decimals

Level Four
Number and Algebra
Figure It Out activities
This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.A PDF of the student activity is included.

convert between fractions and decimals

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Part-time Work

Level Four
Number and Algebra
Figure It Out activities
This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.A PDF of the student activity is included.

use mental strategies to solve multiplication problems involving money

find a percentage of a money amount

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Paying the Bills

Level Three
Level Four
Number and Algebra
Figure It Out activities
This is a level 3 and 4 number activity from the Figure It Out series. It relates to Stage 6 and 7 of the Number Framework.A PDF of the student activity is included.

find 1/3 of a money amount

use addition and subtraction to solve money problems

use multiplication to solve money problems

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Percentages

Level Three
Level Four
Level Five
Number and Algebra
Units of Work
The purpose of this unit is to synthesise students’ fraction and decimal place value knowledge to enable them competently understand percentages.
  • Recognise and demonstrate understanding of the relationship between fractions, decimals, and percentages.
  • Use and explain percentage calculations (including with increase and decrease problems).
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Pizza Pieces

Level Four
Number and Algebra
Figure It Out activities
This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.A PDF of the student activity is included.

find fractions and decimals that add up to 1 whole

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Ratios and Rates

Level Four
Level Five
Number and Algebra
Units of Work
The purpose of this unit is to synthesise students’ fraction and decimal place value knowledge, thus enabling them to work with rates and ratios with understanding and competence.
  • Understand what a ratio is and how it is written and read.
  • Identify, describe, generate, and record equivalent part-to-part ratios.
  • Create ratio tables.
  • Identify, describe, generate, and record part-to-whole ratios.
  • Recognise and record fractional relationships in ratios.
  • Express ratios as fractions300
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Rights and Responsibilities

Level Four
Number and Algebra
Units of Work
In this unit students make and implement a small business plan for a service or a product, and explore the producer/consumer relationship. They apply number skills to auditing the budget and cashflow of a small business.
  • Identify a need and an opportunity.
  • Research and develop a small business plan.
  • Understand costs, including start up costs.
  • Understand profit, credit and cashflow.
  • Apply number skills to audit a business plan and cashflow.
  • Compare profit with returns and explain variance.
  • Understand how300
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Running Rates

Level Four
Number and Algebra
Rich learning activities
The purpose of this activity is to engage students in solving a problem involving fractions (time in hours, minutes and seconds) and decimals (distance in km) to find a rate.
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Seeing Double

Level Four
Number and Algebra
Figure It Out activities
This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. A PDF of the student activity is included.

convert fractions to decimals

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Spending

Level Four
Number and Algebra
Figure It Out activities
This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. A PDF of the student activity is included.

use multiplication to solve problems involving money

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Wooden Projects

Level Four
Number and Algebra
Figure It Out activities
This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. A PDF of the student activity is included.

convert fractions to decimals