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Level Four > Number and Algebra

# AO2: Understand addition and subtraction of fractions, decimals, and integers.

Children
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## Loans and Savings

This unit uses one of the digital learning objects, Loans and Savings, to support students as they investigate addition and subtraction with integers. The context of a bank balance illustrates the different scenarios of adding and subtracting positive and negative numbers. The learning object shows the loan account and the saving account as graphical columns so the students can see the effect of adding or subtracting money on the two accounts. Students are also asked to calculate the nett balance of the loan and savings accounts. The unit is suitable for students working at stage 7 of the number framework. It includes a sequence of 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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## Hills and Dales

Solve addition and subtraction problems with integers (positive and negative numbers).

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## Dollars and Bills

Solve addition and subtraction problems with integers (positive and negative numbers).

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## Go Negative

Perform calculations with negative fractions.

Devise and use problem solving strategies mathematically. This problem uses be systematic and draw a picture strategy.

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## Create A Question

Use their mathematical knowledge to invent problems

Solve other students' problems.

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## Fractional Magic Squares

Know the idea of, and be able to construct, magic squares.

Devise and use problem solving strategies to explore situations mathematically (be systematic).

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## Negative Magic Squares

Know the idea of, and be able to construct, magic squares

Devise and use problem solving strategies to explore situations mathematically (be systematic).

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## Three Circles II

In this unit students are asked to investigate mathematical relationships when they select various numbers into be used in 3 circle configuration below and in 6 circle configurations. They will explore both whole number and fractional numbers as they consider how various configurations impact on the relationships between numbers.

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## Investigating Integers

This unit begins with Freudenthal’s (1983) annihilation model for demonstrating the addition and subtraction of integers then goes on to introduce other representations. It is designed for students working at Stage 7 of the Number Framework who are able to choose appropriately from a broad range of mental strategies to estimate answers and solve addition and subtraction.

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## Easy fraction game

To give students practise in adding fractions that match the descriptions eg. 1/8 + 1/4 ‘add to less than 1’. This can be used as a class starter or as an independent game.

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## 6 Minus 8 Does Work!

Solve addition and subtraction problems with integers (positive and negative numbers).

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Solve problems that involve adding and subtracting decimals.

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## Subtraction with tenths

Solve problems that involve adding and subtracting decimals.

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## How can Two Decimals so Ugly make one so Beautiful

Solve problems that involve adding and subtracting decimals.

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

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These exercises and activities are designed for students to use independently to practise number properties.

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## Number in Statistics

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 activity.

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## Using integer tiles

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

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## Strategic Solving Part III

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

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## Comparing apples with apples 2

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

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## Pipe music with decimals

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

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## Compatible decimal fractions

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

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## Decimal Fractions – Tenths

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

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## Place Value Practice (Tenths and Hundredths)

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

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## Jumping the number line – decimal fractions (hundredths)

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

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## Strategic Solving Part II

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

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## Having fun with the vertical algorithm

These exercises and activities are for students to use independently of the teacher to practice and develop their number properties. Some are suitable for homework, others require follow-up during teaching sessions

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## Dallying with Decimals

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

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## Walking the Plank

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

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## Disappearing Dollars

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

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## Flying Home

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

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## Dash and Splash!

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

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## Riding the Waves

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

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## The Volcanoes Erupt

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

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## Chilly Heights

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

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## Going for Gold!

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

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## Cycling On...

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

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## It's a Try

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

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## Lifting Weights

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

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## Integer Zap

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

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## Integer Slam

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

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

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## Shifty Subtraction

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

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## Money Matters

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

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## Gentle Giants

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

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## Egyptian Fractions

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

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## Video Viewing

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

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## Target Time

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

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## Expanding with Decimals

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

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

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## Branching Out

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

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## Decimal Fraction Buddies

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

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## Stripping Fractions

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

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## The Greenhouse Effect

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

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## Charu in a Pickle

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

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

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

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This is a level 4 number, algebra, statistics activity and level 5 number activity from the Figure It Out series. It relates to Stage 7 and 8 of the Number Framework.

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## Profit or Loss?

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

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

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## Comparing Chalk and Cheese

convert unlike units in order to add and subtract them

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## Using Resources and Classifying Resources

This is a level (3+ to 4+) mathematics in science contexts activity from the Figure It Out series.

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## Make 1.5

This is a level 3 and 4 number activity from the Figure It Out series.

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## Addition, subtraction and equivalent fractions

The purpose of this series of lessons is to develop understanding of equivalent fractions and the operations of addition and subtraction with fractions.

This unit supports teaching and learning activities in the Student Fractions e-ako 7 and 7+, 8 and 8+, 9 and 9+, and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages.

This is the fourth in a series of units developing fractional understanding. This unit builds on these previous units of work:

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## Multiplying fractions

The purpose of this series of lessons is to develop understanding of the multiplication of fractions.

This unit supports teaching and learning activities in the Student Fractions e-ako 10 and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages and in Book 8 Teaching Number Sense and Algebraic Thinking.

This is the fifth in a series of units developing fractional understanding. This unit builds on these previous units of work: