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NA5-5: Know commonly used fraction, decimal, and percentage conversions.

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Elaboration on this Achievement Objective

This means students will be able to express any of the fractions (halves, quarters, thirds, fifths, eighths, tenths, hundredths and thousandths) as decimals and percentages. For example, 3/8 = 0.375 = 37.5% and use whatever form is easiest for a given calculation, for example 30% of $78 as 3/10 of 78 = box. . Students should also be able to give the fraction form of any decimals to three places and vice versa, for example 1.346 = 1346/1000, and express percentages, including those greater than one hundred, as decimals and vice versa, for example 1.75 as 175%.

 

Teaching resources for this Achievement Objective
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Difficult Fractions to Percentages

Level Five
Number and Algebra
Numeracy activities

Know benchmarks for converting between fractions, decimals and percentages.

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Express GST

Level Five
Number and Algebra
Rich learning activities
The purpose of this activity is to engage students in expressing a percentage as a fraction and to be able to apply this as a multiplier.
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Feeding Pets

Level Five
Number and Algebra
Numeracy activities

Order fractions, decimals and percentages.

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Flooding likely?

Level Five
Integrated
The purpose of this unit, which provides an integrated social sciences/statistics and probability context, is develop students' understandings of skills and knowledge of interpreting statistical and chance situations. Within this, students investigate flooding as an example of a natural catastrophe.
  • Combine probabilities to find the probability of an outcome from a complex chance situation.
  • Run a simulation to find an experimental probability
  • Understand and describe the differences and advantages between theoretical and experimental probabilities.
  • Find a theoretical probability and express it as a300
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Hot shots 2

Level Five
Number and Algebra
Secondary activities
These exercises and activities are for students to use independently of the teacher to practice number properties.

Converting fractions to percentages using the double number line

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Muffin Mania

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.

multiply fractions

convert fractions to decimals

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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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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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Swimming lengths

Level Five
Number and Algebra
Rich learning activities
The purpose of this activity is to engage students in using their knowledge of fractions and decimals, and an ability to use operations on these, to solve a problem.
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Wise Investments

Level Five
Number and Algebra
The purpose of this unit is to engage students in applying their understanding of decimals and percentages to problems within the context of financial literacy. This develops an appreciation of the calculations necessary to make informed decisions when investing.
  • Apply understanding of currency and percentages to problem solving contexts. 
  • Use spreadsheets to display balance, interest, and deposit data. 
  • Apply numerical reasoning involving decimals, currency, and percentages.