AO1: Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.

Solve addition and subtraction problems using decomposition, leading to a written algorithm.

This unit develops over 5 lessons running through the headings Getting Started, Exploring, Reflecting. The emphasis is on the need for standard units and this is reinforced by 'trading' with Smatian traders. As award shaped bottles are used here, water is needed to help both estimates and accurate measurements.

This unit uses The Multiplier, one of the digital learning objects that can be found in Te Pataka Matihiko, Our Digital Storehouse, to multiply 2-digit numbers by 1-digit numbers. It is designed for students transitioning from Stage 5-Early Additive to Stage 6-Advanced Additive of the Number Framework. This unit is the first in a series of four units that focus on using the Multiplier as an aid to learning multiplication. It includes examples of word problems that use multiplication, students are also encouraged to make up problems of their own.

This unit uses one of the digital learning objects, the part-adder, to support students as they investigate the addition of whole numbers. It is the second in a series of two units that focus on using this learning object; the first in the series outlines how it can be used with students at Stage 5 - Early Additive of the Number Framework while this unit outlines ways to support students working at Stage 6 - Advanced Additive. 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.

This unit introduces students to "The Take-Away Bar" digital learning object, a tool to help students solve subtraction problems by breaking numbers into parts.

This unit is for students at Stage 6-Advanced Additive of the Number Framework, Curriculum Level 3, i.e. students who have developed more than one part-whole strategy for addition and subtraction and can use these strategies to solve subtraction problems involving large numbers.

This digital learning object has two versions, one where subtraction problems are generated and one where students and teachers can make up their own subtraction problems. The problems at this level involve subtracting a two-digit number from a larger two-digit number.

This unit introduces students to "The Difference Bar" digital learning object, a tool to help students work out the difference between two numbers by breaking numbers into parts.

This unit is for students at Stage 6-Advanced Additive of the Number Framework, Curriculum Level 3, i.e. students who have developed more than one part-whole strategy for addition and subtraction and can use these strategies to solve problems involving large numbers.

This digital learning object has two versions, one where difference problems are generated and one where students and teachers can make up their own difference problems. The problems at this level involve solving the difference between 2 two-digit numbers.

In this unit we look at a range of strategies for solving addition and subtraction problems with whole numbers with a view to students anticipating from the structure of a problem which strategies might be best suited.

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. 

This unit uses The Multiplier, one of the digital learning objects that can be found in Te Pataka Matihiko, Our Digital Storehouse, to multiply 2-digit numbers by 1-digit numbers. It is designed for students working at Stage 6-Advanced Additive of the Number Framework who are able to use a combination of known facts and mental strategies to derive answers to multiplication problems. This unit is the second in a series of four units that focus on using the Multiplier as an aid to learning multiplication. It includes examples of word problems that use multiplication, and students are also encouraged to make up problems of their own.

This unit uses three of the series of four Divider learning objects to support the students division of whole numbers where there is either no remainder or whole number remainders. The Divider encourages the students to split a division problem into parts based on known division or multiplication facts. The divider is based on a rectangular representation of division where one of the side lengths is unknown.

This unit is designed to provide students with a context in which to use number operations, as well as other strands of the mathematics curriculum.  The context of a school fair could either be a hypothetical context, or could be linked to an actual school fair, with students helping to plan and run activities.

This unit encourages students to assess the validity of a set of statements and then plan and carry out investigations to find out whether the statements are true. Students then carry out statistical investigations of their own.

This unit explores the relationships between decimals and whole numbers and fractions.  A number of representations are used including double number lines, ratio tables and place value tables.  The main objective is to link students’ knowledge of fractions with the decimal system. 

This unit explores the relationships between decimals and whole numbers and fractions.  A number of representations are used including double number lines, ratio tables and place value tables.  The main objective is to link students’ knowledge of fractions with the decimal system. 

This unit explores how the suite of learning objects, "Squirt", can be used to support students’ development of multiplicative thinking. Squirt encourages students to anticipate multiplicative measurement relationships, e.g. three measures of A fit in B, by partially filling a container and imaging how many more squirts will be needed. Since the containers are not always cylindrical it also develops ideas about conservation of volume.

Solve addition and subtraction problems by using place value.

Change the order of the factors to make a multiplication problem easier.

Solve subtraction problems by using addition.

Solve subtraction problems by using addition.

Solve addition and subtraction problems by compensating with tidy numbers (including equal additions).

Solve addition and subtraction problems by compensating with tidy numbers (including equal additions).

Solve problems using a combination of addition, subtraction, multiplication and division mental strategies.

Solve subtraction problems by using addition.

Solve addition and subtraction problems by compensating with tidy numbers (including equal additions).

Solve addition and subtraction problems by compensating with tidy numbers (including equal additions).

Solve problems using a combination of addition, subtraction, multiplication and division mental strategies.

Derive multiplication facts from 2, 5 and 10 times tables.

Derive multiplication facts from 2, 5 and 10 times tables.

Find fractions of regions.

Find fractions of a set using multiplication and division.

Multiply by 10s, 100s, 1000s, and other multiples of 10.

Solve division problems by using multiplication facts.

Solve division problems by using multiplication facts.

Solve division problems by using multiplication facts.

Find fractions of regions.

Solve addition and subtraction problems using decomposition, leading to a written algorithm.

Solve problems using a combination of addition, subtraction, multiplication and division mental strategies.

Multiply by 10s, 100s, 1000s, and other multiples of 10.

Solve subtraction problems by using addition.

Solve addition and subtraction problems by using place value.

Solve subtraction problems by using addition.

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

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

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.

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

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

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

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

These exercises and activities are for students to use as a week’s homework to practice number properties

These exercises and activities are for students to use as a week’s homework to practice number properties

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

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

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

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

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

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

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number and measurement activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number link activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

These are level 3 number and probability problems from the Figure It Out series.

These are level 3 number and statistics problems from the Figure It Out series.

These are level 3 number, algebra, and statistics problems from the Figure It Out series.

These are a level 3 number, geometry, and measurement problems from the Figure It Out series.

These are level 3 number, algebra, measurement problems from the Figure It Out series.

These are level 3 number and statistics problems from the Figure It Out series.

These are level 3 number and algebra problems from the Figure It Out series.

These are level 3 number and geometry problems from the Figure It Out series.

These are level 3 number and geometry problems from the Figure It Out series.

These are level 3 number and geometry problems from the Figure It Out series.

These are level 3 number, algebra, and geometry problems from the Figure It Out series.

These are level 3 number and geometry problems from the Figure It Out series.

These are level 3 number, geometry and statistics problems from the Figure It Out series.

These are level 3 algebra and number problems from the Figure It Out series.

These are level 3 number, algebra, and geometry problems from the Figure It Out series.

These are level 3 number and statistics problems from the Figure It Out series.

These are level 3 number, geometry, and statistics problems from the Figure It Out series.

These are level 3 number and statistics problems and level 4 algebra problems from the Figure It Out series.

These are level 3 number problems from the Figure It Out series.

These are level 3 number and algebra and level 5 number problems from the Figure It Out series.

These are level 3 number problems and level 4 number and algebra problems from the Figure It Out series.

These are level 3 number and algebra problems from the Figure It Out series.

These are level 3 number problems from the Figure It Out series.

These are level 3 algebra, geometry and number problems from the Figure It Out series.

These are level 3 number, and geometry problems from the Figure It Out series.

These are level 3 number, measurement, and geometry problems from the Figure It Out series.

use common multiples to solve problems (Problem 1)

use addition and problem solving strategies to solve problems (Problem 2)

continue a sequential pattern to find a rule and predict a future member (Problem 3)

These are level 3 number, statistics, and algebra problems from the Figure It Out series.

These are level 3 number and statistics problems and level 5 number problems from the Figure It Out series.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number, algebra and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number, algebra, statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number, algebra and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number, algebra, and statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number and algebra activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number and algebra activity and a level 2 statistics activity from the Figure It Out series. It relates to Stage 5 of the Number Framework.

This is a level 3 number and algebra activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number and algebra activity and a level 2 statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

This is a level 3 number and algebra activity and a level 2 statistics activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

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

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

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

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

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

This activity is for students to use when working independently of the teacher in class and as homework to practice number properties.

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

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.

This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series.

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

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

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

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

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

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

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

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

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

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

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

This is an activity based on the picture book Fifty-five Feathers.

This unit of work is based on the Māori medium unit Te Whakaaro Tūhonohono, and investigates how relational thinking is applied to number operations.

This is an activity based on the picture book How Much is a Million?

This is an activity based on the picture book Maths Curse

This is an activity based on the picture book The Story of Everything

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

This is a level 2-3 activity from the Figure It Out series.

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

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

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

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

This series of lessons builds upon the students’ experiences of making, naming and recognizing common fractions using different physical representations. Its purpose is to develop understanding of the formal language and symbols associated with simple fractions and their representations.

The purpose of this unit is also to develop students’ understanding of fractions of sets.

This unit supports teaching and learning activities in the Student Fractions e-ako 3 and 4 and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages.

This is the second in a series of units developing fractional understanding.

This unit builds on the previous unit of work:

• Fraction Bits and Parts

The units that follow are:

• Ordering proper and improper fractions
• Addition, subtraction and equivalent fractions
• Multiplying fractions
• Dividing fractions
• Percentages

The purpose of this series of lessons is to develop understanding of the relative size of fractions and where these fit with whole numbers on a number line.

This unit supports teaching and learning activities in the Student Fractions e-ako 5 and 5+, 6 and 6+ and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages.

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

• Fraction Bits and Parts
• Symbols and sets

The units that follow are:

• Addition, subtraction and equivalent fractions
• Multiplying fractions
• Dividing fractions
• Percentages

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:

• Fraction Bits and Parts
• Symbols and sets
• Ordering proper and improper fractions

The units that follow are:

• Multiplying fractions
• Dividing fractions
• Percentages

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:

• Fraction Bits and Parts
• Symbols and sets
• Ordering proper and improper fractions
• Addition, subtraction and equivalent fractions

The units that follow are:

• Dividing fractions 
• Percentages

The purpose of this series of lessons is to develop understanding of the operation of division with fractions.

This unit supports teaching and learning activities in the Student Fractions e-ako 11 and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages.

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

• Fraction Bits and Parts
• Symbols and sets
• Ordering proper and improper fractions
• Addition, subtraction and equivalent fractions
• Multiplying fractions

The unit that follows is:

• Percentages

The purpose of this series of lessons is to synthesise students’ fraction and decimal place value knowledge to enable them to work with percentages, with understanding and competence.

These sessions make strong use of concrete materials to consolidate students’ understanding, before requiring them to work with number properties. Discussion is an important part of all sessions.

This unit supports teaching and learning activities in the Student Fractions e-ako 12 and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages.

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

• Fraction Bits and Parts
• Symbols and sets
• Ordering proper and improper fractions
• Addition, subtraction and equivalent fractions
• Multiplying fractions
• Dividing fractions

Complementary to this unit is the seventh Place Value unit:

• Place Value with whole numbers and decimals

Links to additional complementary units of work are included after Session 5.

The purpose of this series of lessons is to synthesise students’ fraction and decimal place value knowledge to enable them to work with rates and ratios with understanding and competence.

This unit supports teaching and learning activities in the Student Fractions e-ako 13 and 14 and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages.

This is the eighth and final in a series of units developing fractional understanding. This unit builds upon these previous units of work:

• Fraction Bits and Parts
• Symbols and sets
• Ordering proper and improper fractions
• Addition, subtraction and equivalent fractions
• Multiplying fractions
• Dividing fractions
• Percentages

Complementary to this unit is the seventh Place Value unit:

• Place Value with whole numbers and decimals

Links to additional complementary units of work are given below.