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Level Three > Number and Algebra

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

Children
Resource

## A Standard Written Form for Addition

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

Resource

## Slosh, Dribble, and Plop

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.

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## A thousand seconds

Use seconds, minutes and hours.

Discuss the size of a thousand

Read the time in digital or analogue form

Devise and use problem solving strategies

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## Tim's Trip

Calculate accurately using units of time and speed.

Explain their methods and reasoning using correct mathematical terms

Devise and use problem solving strategies to explore situations mathematically (guess and check, draw a diagram)

Resource

## The Multiplier (small 2-digit by 1-digit 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 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.

Resource

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.

Resource

## Perplexing Perimeters

In the process of constructing their own “rulers” the students develop a sense of the size of a centimetre and metre.  As the students select the appropriate “ruler” for the tasks they learn to choose that the section of the measuring instrument we are using/making is determined by the exactness of the measurement needed.  In addition this unit reinforces the number skills of students as they calculate the perimeter of objects using centimetres or metres.

Resource

## The Take-Away Bar 2

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.

Resource

## The Difference Bar 2

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.

Resource

## Addition and Subtraction Pick n Mix

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.

Resource

## Three Circles I

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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## The Multiplier (larger 2-digit by 1-digit 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.

Resource

## The divider (whole number remainders)

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.

Resource

## The School Fair

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.

Resource

## Pocket money

Add a series of two digit numbers

Double numbers

Systematically keep track of their calculations to compare numbers.

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## Legs in the Barn

Find fractions of whole numbers

Devise and use problem-solving strategies (draw a picture, guess and check)

Resource

## The Fathers' Day Card

Subtract using decimals

Find ½ of a decimal number

Devise and use problem solving strategies (act it out, draw a picture, guess and improve, make a table)

Resource

## My Dogs

Use the properties of multiplication (factors) to solve problems

Devise and use problem solving strategies (be systematic, guess and improve)

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## Darts Game

Apply the number operations to single digit numbers.

Use a problem solving strategy to identify all the possible outcomes.

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## Even More Pizzas And Things

Solve problems involving fractions

Devise and use problem solving strategies (draw a picture, use equipment, guess and check, be systematic, think)

Interpret information and results in context.

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## Gulls

Select the appropriate number operation(s) to solve problems.

Devise and use problem solving strategies (act it out, draw a picture, organised list)

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## The Rock Pool

Find strategies for investigating number problems.

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## Lollies, Lollies, Lollies

Solve problems that involve multiplication and division

Use equations to express a problem

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## 3c and 5c Stamps

Describe what it means for a sequence to carry on infinitely;

Look for patterns in combinations of numbers.

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## Make 4.253

Order decimals.

Devise and use problem solving strategies to explore situations mathematically. This problem uses be sytematic, draw a picture, and think startegies.

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## Invent-A-Problem

Use their mathematical knowledge to invent problems.

Solve other students’ problems.

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## Big Magic Squares

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

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## Decimal Magic Squares

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

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## Triangle sums

Think logically about the sums of single digit numbers

Devise and use problem solving strategies (guess, and check work systematically)

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## Marshmallows

In this unit, students use marshmallows in a range of interesting measurement tasks.  Concepts covered include mass, volume, temperature, time, and area, with the skill of estimation being developed.

Resource

## Time for Breakfast

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.

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## Getting The Point

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.

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## Getting The Point

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.

Resource

## Squirt Level 3

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.

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## How many ten dollar notes?

Solve addition and subtraction problems by using place value.

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

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## Problems like 37 + ? = 79

Solve subtraction problems by using addition.

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Solve subtraction problems by using addition.

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

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## Near Doubles

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

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## People's Ages

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

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## Problems like 67 - ? = 34

Solve subtraction problems by using addition.

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## Problems like 73 - 19 = ?

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

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## When One Number Is Near a Hundred

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

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## Mixing the Methods - Mental Exercises for the Day

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

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## Fun with Fives

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

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## A Little Bit More/ A Little Bit Less

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

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## Fractional Blocks

Find fractions of regions.

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## Birthday cakes

Find fractions of a set using multiplication and division.

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## Multiplying Tens

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

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## Long Jumps

Solve division problems by using multiplication facts.

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## Goesintas

Solve division problems by using multiplication facts.

Solve division problems by using multiplication facts.

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## Fractional Blocks

Find fractions of regions.

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## Decomposition - A Written Form of Subtraction

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

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## A Balancing Act

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

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## Sherpa (Tensing)

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

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## Subtraction to Subtraction

Solve subtraction problems by using addition.

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## Checking Addition and Subtraction by Estimation

Solve addition and subtraction problems by using place value.

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Solve subtraction problems by using addition.

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

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## Problems Like 73 – 19

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

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## Number in Geometry

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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## A little bit more/A little bit less

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

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## Strategic Solving Part I

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

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

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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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## Homework sheet: stage 6 – 7 Revision of add-sub and mult-div domains

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

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## Homework sheet: stage 6 – 7, Revision of add-sub and mult-div 2

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

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

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## Comparing apples with apples 1

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

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## Birthday cakes

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

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## Fraction Trains

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

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## Decimal Fractions of a Set

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

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

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## Olive Toil

This is a level 3 link measurement activity from the Figure It Out series. It relates to Stage 6 and 7 of the Number Framework.

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## Magnificent Multiples

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

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## Sticky Problem

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

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## Paths and Pairs

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

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## Calculator Golf

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

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## Mind Boggling

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

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## Face Totals

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

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## Maps and Magic

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

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

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## Wheel and Deal

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

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## Don't Ditch the Boat

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

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## Job Sharing

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

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## Standing Room Only

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

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## Up in the Air

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

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## Sweet As

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

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## Racing to New Heights

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

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## Quick Thinking

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

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

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## Time for Change

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

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## Speedy Types

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

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## Human Pyramids

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

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

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## Tracking Toroa

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

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## Stepping Out

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

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## Saving Up

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

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## Movie Maths

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

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## Singing up a Storm

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

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## That Old?

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

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## Pitoitoi Pecks

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

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

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## Baffling Braids

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

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## On the Trail

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

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

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## Crazy Compatibles

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

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## Skimming Stones

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

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## The Strategy Strut

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

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## Slippery Slope

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

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## Calendar Capers

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

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## Worth the Work

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

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## Busking Blues

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

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## Easy Nines

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

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

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## Wheels Galore

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

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## Watery Mission

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

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

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## Kapa Haka

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

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## Hard Times

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

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## Digital Dilemmas

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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## Funky Fractions

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

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## Fives and Tens

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

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## Helping with the Hāngi

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

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## Pizza Party

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

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## Table Tricks

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

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## Coupon Combinations

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

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## Empty Lines

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

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## Problems Galore

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

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## More Problems

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

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## Getting the Point

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

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## Mystery Fractions

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

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## Classy Courtyards

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

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

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## PE Problems

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

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## Dive Tank Dilemma

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

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## Lining Up Numbers

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

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

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## Almost Squares

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

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## Stepping Out

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

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## Tens Time

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

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

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## Keeping Score

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

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## DVD Decisions

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

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## Kapa Haka Practice

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

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## Clean Cars

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

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## Emu Auctions

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

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## Family Ties

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

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## Cup Fever

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

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## An Odd Spell of Maths

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

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## Serious Circus Sums

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

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## Good as Gold

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

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## Tidying Up

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

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## Crafty Combinations

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

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## Fraction Tagging

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

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## Maths Detective

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

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## Alien Estimates

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

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## Digit Shuffle

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

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## Slide Shows

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

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## Tile the Town, Tiny!

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

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## Wheeling and Dealing

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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## Hit the Target

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

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## Pathways

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

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## Double and Halve

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

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## Ways to 43

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

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## Different Approaches

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

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## It Pays to Win!

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

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## Grocery Grapplers

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

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## Short Cuts

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

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

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

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## Playing with Numbers

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

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## Join the Queue

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

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## Home Sweet Home

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

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## Teething Problems

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

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## Making More

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

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## Shaping Up

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

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## Slippery Solutions

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

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## Problem Bits Four

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

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## All Sorts

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

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## Pattern Teasers

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

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## Birthday Surprise

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

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## Exercise Time

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

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## Layer upon layer

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

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## Digit Detail

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

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## Upside Down

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

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## Challenging Times

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

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## Simple Solutions

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

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## Arrow Antics

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

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## Darting for Cover

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

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## Colourful Calculations

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

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## Mixing Fruit

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

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

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## To the Wire

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

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

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## Snap!

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

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## Following On

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

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## Filling the Gaps

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

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## Working Together

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

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

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## In and Up

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

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## Back to Back

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

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## Creases and Cuts

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

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## In line

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

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## Dates and Shapes

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

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## What Goes Around ...

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)

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## Going Around

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

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## Round Robins

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

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## Face the Facts

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

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## Class Farewell

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

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## Survivor Challenge

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

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## Clever Clues

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

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## Joust Away!

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

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## Hydroslides

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

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## Card Arrays

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

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## Buttons Galore

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

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## Cutting It

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

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## Dotty People

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

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## Never too Late

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

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

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## Different Decisions

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

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## Motorcycle Mayhem

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

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## Giving

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

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## Sione's New Life

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

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## Challenging Choices

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

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## Holiday Plans and Budgets

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

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## Living Expenses

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.

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## The Cost of Credit

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

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## Oscar's Odd Jobs

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

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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.

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## Alana, the Online Entrepreneur

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

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## Savings Ups and Downs

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.

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## Spending Spurge

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

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## Fresh Eggs for Sale!

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

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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.

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## A Cat from the Animal Shelter

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

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## Christmas Bonus

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.

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## Penfriend Pets

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.

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## The Unit Fraction Game

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

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## Aim Straight

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

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## Luck of the Draw

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

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## Counting the Costs

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

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## Into the Lion's Den

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

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## Wall Display - level 3

This activity is for students to use when working independently of the teacher in class and as homework to practice 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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## Doing Time

In this activity students will explore activities relating to time.

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## Location, Location ...

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

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## Is Walking Free?

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

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

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## An Eco-kennel

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

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## See-saw Antics

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

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## Ecological Footprints

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

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## The Air We Breathe

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

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## Traffic Jams

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

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## Common Pasture

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

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## Clean Enough to Drink?

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

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## Too Much Water

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

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## How High's the Water Now, Mum?

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

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## Measuring Potential

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

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## Wind Chill

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

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## Tramping against Gravity

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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## Fred's Rent-a-Fence

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

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## Rubber Band Rectangles

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

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## Square Skills

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

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## Fifty-five Feathers

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

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## Number Relations

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

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## How Much is a Million?

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

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## Maths Curse

This is an activity based on the picture book Maths Curse

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## The Story of Everything

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

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## Quirky Cards

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

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## Problem Pikelets

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

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## Inventive Thinkers

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

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## Call Chaos

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

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## Thirsty Dancers

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

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## Breakfast Decisions

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

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## Tangram World

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

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## Symbols and sets

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:

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## Ordering proper and improper fractions

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:

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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:

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## Dividing fractions

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:

The unit that follows is:

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## 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:

Complementary to this unit is the seventh Place Value unit:

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

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## Ratios and Rates

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:

Complementary to this unit is the seventh Place Value unit: