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Level Five > Number and Algebra

# AO3: Understand operations on fractions, decimals, percentages, and integers.

Children
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## Mix Up 2

This unit uses one of the digital learning objects, Mix Up 2, to support students as they investigate finding average percentage of the contents of differently sized containers. It is suitable for students working at Stage 8-Advanced Proportional of the Number Framework. It includes problems and questions that can be used by the teacher when working with a group of students on the learning object, and ideas for independent student work.

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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.

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## Time Problems

Understand how positive and negative numbers can be used in an unusual practical problem.

Devise and use problem solving strategies to explore situations mathematically (guess and check, be systematic, look for patterns, draw a diagram, make a table, use algebra).

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## Cart Before The Horse

Use their mathematical knowledge to invent problems

Devise and use problem solving strategiesto explore situations mathematically.

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## The Magic Squares

Use algebra as required

Construct magic squares

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## Working Backwards

Use their mathematical knowledge to invent problems

Devise and use problem solving strategiesto explore situations mathematically.

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## Money and Percentage

In this unit tasks and activities highlight terms and concepts associated with money and percentages.  Money and percentages are explored in a variety of real life contexts.  This unit is concerned with applications of percentages more than learning how to calculate percentages.  For a unit on calculating percentages try Getting Percentible.

 Visit ESOL Online for a version of this unit designed to support students for whom English is an additional language.
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## Multiplication and Division Pick 'n' Mix 2

In this unit we look at a range of strategies for solving multiplication and division problems with whole numbers and decimal fractions, with a view to students anticipating from the structure of a problem which strategies might be best suited. This unit builds on the ideas presented in Multiplication and Division Pick ‘n’ Mix 1.

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## 50% on is Not the Same as 50% off!

Estimate and find percentages of whole number and decimal amounts.

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## GST Rules

Estimate and find percentages of whole number and decimal amounts.

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## Inflation

Estimate and find percentages of whole number and decimal amounts.

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## Reverse Percentage Problems

Estimate and find percentages of whole number and decimal amounts.

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## Percentage Increases & Decreases in One Step

Estimate and find percentages of whole number and decimal amounts.

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## Percentages Problems in Two Steps

Estimate and find percentages of whole number and decimal amounts.

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## Calculating Percentage Changes

Estimate and find percentages of whole number and decimal amounts.

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## Multiplication of Decimal Fractions

Solve multiplication and division problems that involve decimals.

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## When Big Gets Smaller

Solve multiplication and division problems that involve fractions.

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## A Fraction Times a Fraction

Solve multiplication and division problems that involve fractions.

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## Reversals with Multiplication and Division

Solve multiplication and division problems that involve decimals.

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## When Small Gets Bigger

Solve multiplication and division problems that involve fractions.

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## Folding fractions and decimals

Solve multiplication and division problems that involve decimals.

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## Brmmm! Brmmm!

Solve multiplication and division problems that involve fractions.

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## Cross Products

These exercises and activities are for students to use independently of the teacher to practice number properties.

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## Base 2 and complementary arithmetic

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 to 15 minute independent activity. While the involve operating with number, the contexts for the number operations in these exercises are not formally in the curriculum, and are therefore most suitable as ‘broadening’ or extension work with more able students.

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## Body Measurements

These exercises and activities are for students to use independently of the teacher to practice number and measurement skills.

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## Strategic Solving Part IV

These exercises and activities are for students to use independently of the teacher to practise number properties.

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## Multiplication Strategies

These exercises and activities are for students to use independently of the teacher to practice number properties.

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## Cut and Paste Algebra

These exercises and activities are for students to use independently of the teacher to practice number properties

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## Spring Fever

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Ageing in Space

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Meal Deal

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Dog's Dinner

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Tasty Treats

This is a level 5 number link activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Dreaming of Millions

This is a level 5 number link activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Body Mass

This is a level 5 number link activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Muffin Mania

This is a level 5 number link activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Judo Competition

This is a level 5 number link activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Sign of the Times

This is a level 5 number link activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Token Gesture

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Mobilised

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Non-stop Ninths

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Using Mates

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Compatible Multiples

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Line Up

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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These are level 4 geometry and level 5 number problems from the Figure It Out series.

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## Leftovers

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## The Power of 10

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Discount Deals

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Horse Sense

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Getting Tough

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## A Dog's Breakfast

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Fraction Extraction

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Fully Grown

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Laser Blazer

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## The Percentage Game

This is a level 5 number activity from the Figure It Out series. It relates to Stage 8 of the Number Framework.

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## Action and Reaction

This is a level 5 statistics activity from the Figure It Out series.

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## Dividing Fractions

learning how to divide a fraction by a fraction