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

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

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

convert between fractions, decimals, and percentages

Figure It Out activities

Number and Algebra

Level Four

The purpose of this unit is to have students identify a need, plan a response, seek feedback, design and build a ‘product’, applying number, measurement and technology knowledge and skills.

Identify a utility need or opportunity within the school and plan a response Create a design incorporating key attributes identified. Investigate quality and comparative costs of possible construction materials. Cost ‘fit for purpose’ construction materials and prepare a budget. Draw plans with...

Units of Work

Number and Algebra

Level Four

The purpose of this unit is for students apply and refine their measurement skills and to develop an understanding of enlargement and reduction, through making scale models to be used in a short animated film.

Understand and describe proportion using the language of mathematics. Make accurate metric length measurements. Understand the principles of scale. Understand that the value of the scale factor of a reduction is less than 1 and for an enlargement is greater than 1. Understand that the scale factor...

Units of Work

Number and Algebra

Level Four

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

find fractions of a litre convert fractions to decimals

Figure It Out activities

Number and Algebra

Level Four

The purpose of this activity is to engage students in working with common fractions, decimals and percentages interchangeably, to solve a problem.

Rich learning activities

Number and Algebra

Level Four

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.

calculate the interest rate on money deposits

Figure It Out activities

Number and Algebra

Level Four

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

find fractions, decimals, percentages, of whole numbers know fraction, decimal, and percentage equivalents

Figure It Out activities

Number and Algebra

Level Four

This is a level 4 number link activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

find fractions, decimals, percentages of a whole number know equivalent fractions, decimals and percentages

Figure It Out activities

Number and Algebra

Level Four

The purpose of this activity is to give students practise in converting decimals into fractions. This can be a quick class starter or be used as part of an independent activity.

convert fractions with denominators of 10 and 100 to decimals

Numeracy activities

Number and Algebra

Level Four

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

Figure It Out activities

Number and Algebra

Level Four

Know benchmarks for converting between common fractions, decimals and percentages.

Numeracy activities

Number and Algebra

Level Four

In this unit we are exploring ways to find equivalent fractions. We use the concept of equivalent fractions to convert fractions to the benchmark fractions of halves, quarters, thirds, fifths and tenths. From these benchmark fractions it is easier to convert fractions to decimals and percentages. We...

explore and know equivalent fractions including halves, thirds, quarters, fifths, tenths and hundredths. use equivalent fractions to convert fractions to decimals and percentages. use equivalent fractions to order fractions with different denominators.

Units of Work

Number and Algebra

Level Four

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework.

match equivalent fractions, decimals, and percentages

Figure It Out activities

Number and Algebra

Level Four

This activity provides students with a fun, game context in which to practice their equivalent fraction skills.

use their knowledge of equivalent fractions to match dominoes.

Numeracy activities

Number and Algebra

Level Four

Solve problems involving fractions and percentages Devise and use problem solving strategies (guess and check, be systematic, look for a pattern, make a table)

Problem solving activities

Number and Algebra

Level Four

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 fractions to decimals

Figure It Out activities

Number and Algebra

Level Four

This unit supports students to recognise percentages as equivalent fractions, and to carry out simple calculations involving finding percentages of amounts.

Use the percentage bar model to find the percentage that a part is of a whole. Use the percentage bar model to find a percentage amount of a whole. Simplify parts of a whole to common fractions to find percentages. Use percentages to represent the relationship between two different wholes or parts.

Units of Work

Number and Algebra

Level Four

This unit explores the connections between percentages, decimals, and fractions. It focuses on strategies for solving problems involving percentages and applies these strategies to real life contexts.

use double number lines, ratio tables, and converting to equivalent fractions to solve percentage problems use a calculator to solve problems with percentages

Units of Work

Number and Algebra

Level Four

match equivalen fractions, decimals, and percentages

Figure It Out activities

Number and Algebra

Level Four

Know benchmarks for converting between common fractions, decimals and percentages

Numeracy activities

Number and Algebra

Level Four

simplify a fraction convert a fracion to a percentage

Figure It Out activities

Number and Algebra

Level Four

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. It is also a level 3 statistics activity. A PDF of the student activity is included.

find a percentage of a number using a calculator find the probability of an event occurring

Figure It Out activities

Number and Algebra

Level Four

This is a level 4 number activity from the Figure It Out series. It relates to Stage 7 of the Number Framework. It is also a level 3 statistics activity. A PDF of the student activity is included.

find a percentage of a whole number (calculate interest rates)

Figure It Out activities

Number and Algebra

Level Four

In this unit students come to understand the financial challenges that superannuitants in their local community may face, they research the community resources and services that are available to support the older citizens, and implement a (short term) programme of help for at least one older...

Apply number knowledge and strategies to bank statements and budget problems. Consider manageability of data collection and data safety. Design a survey format and questions and gather multivariate data to answer an investigation question. Sort multivariate data to answer summary questions of one...

Units of Work

Number and Algebra

Level Four

use multiplicative strategies to solve money problems use addition and subtraction to solve money problems

Figure It Out activities

Number and Algebra

Level Four