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Level Two > Number and Algebra

# AO1: Use simple additive strategies with whole numbers and fractions.

Children
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## Party, Party, Party

In this unit we conduct a number of investigations using a party theme. In the unit the students spend time counting, comparing, organising, analysing, displaying and interpreting data. While discussing the data we take the opportunity to use and reinforce early additive strategies for combining numbers.

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## Using Tens Frames for the Strategy of Bridging to Ten

The purpose of this unit is to introduce the part-whole strategy of bridging to ten.

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## Number Lines and Bead Strings

In this unit five-based bead strings and number lines are used to solve addition and subtraction problems.  The aim is to get students that use an early additive strategy to solve problems by making up to 10 and on through the ‘ty’ numbers

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## Can You Guess

The purpose of this activity is to develop useful strategies for mental calculation when estimating possible addition solutions.

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## Smart Doubling

In this unit students are encouraged to abandon counting methods for adding and subtracting in favour of more complex but more efficient mental strategies using known doubles facts to derive the answers to addition problems.

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## Weights

Measure using grams

Apply addition to a measurement problem

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

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## Make a Ten

This unit follows naturally from the Smart Doubling unit.
In this unit students are encouraged to further develop part/whole mental methods by using the strategy of "make a ten".

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## The Numbers Get Larger

This unit follows naturally from the Smart Doubling and Make a Ten units.
In this unit students are encouraged to develop part/whole addition and subtraction mental methods with multi-digit numbers.

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## Money Marvels

In this unit students are given the opportunity to explore various combinations of coins and dollars that add to make given totals.  Within the context of money problems students will practise using flexible mental strategies including rounding, estimating, and finding compatible numbers.

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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 first in a series of two units that focus on using this learning object and outlines how it can be used with students working at Stage 5-Early Additive of the Number Framework. The second unit in the series looks at using the learning object with students at Stage 6-Advanced Additive. The unit includes problems and questions that can be used by the teacher when working with a group of students on the learning object, and ideas for independent student work.

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## Getting Partial

In this unit we explore fractions of regions as well as fractions of sets.    We look for and understand the connection between fractions and division.

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## The Difference Bar 1

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 working at Stage 5-Early Additive of the Number Framework, Curriculum Level 2, i.e. students who have developed a part-whole strategy for addition and subtraction. Student at this level have just started to understand and use part whole thinking to solve problems.

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 generated problems at this level involve 2 two-digit numbers where the difference is less than ten and you can make problems to find the difference between any single digit number and any two-digit number.

This unit provides problems that can be used by the teacher when working with groups of students and problems for students to work on independent of the teacher.

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## The Take-Away Bar 1

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 working at Stage 5-Early Additive of the Number Framework, Curriculum Level 2. Student at this level have just started to understand and use part whole thinking to solve problems.

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 single digit number from a two-digit number.

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## Arrays Hooray

In this unit students are given the opportunity to explore multiplication concepts using arrays.  The use of multiple strategies and the sharing of strategies is encouraged, in group and whole class situations.

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## Multiplication stories

In this unit we work on word problems about cars and people, fish and fish bowls, and tables and table legs.  We learn about different types of problems and modelling in a variety of ways. We link these to the commutative properties of multiplication (though we don’t expect the students to use these words for them).

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## Fraction Bits and Parts

This unit explores the beginnings of proportional thinking by introducing fractions. The purpose for this unit is to make, name, and recognise wholes, halves, third parts, fourth parts and fifth parts of a variety of objects. The use of two different physical representation, the whole and parts of a whole is used to develop the concept of fraction. Language plays an important part in this unit. Being able to count in fractions helps the children to see that you can have 5 thirds or six halves. Although the unit is planned around 5 sessions it can be extended over a longer period of time.

This unit supports teaching and learning activities in the Student Fractions e-ako 1 and 2 and complements the learning activities in Book 7 Teaching Fractions, Decimals and Percentages.

This is the first in a series of units developing fractional understanding. The units that follow are:

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## Coin Exchange

Represent a sum of money by a combinations of coins

Use a list to work systematically

Devise and use problem solving strategies to explore situations mathematically (systematic list, use equipment)

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## Shopping

Give change for sums of money

Solve subtraction problems presented in different forms

Devise and use problem solving strategies to explore situations mathematically (guess and check, use drawing, use equipment, be systematic, act it out).

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## Pigs and Ducks

Solve a story problem using multiplication facts of 2 and 4.

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

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## Reversing Numbers

Add 2-digit numbers with and without renaming

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## Netball Goals

Find a ¼ and ¾ of a set.

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## A Fishy Problem

Manipulate numbers (using the number operations) to obtain a given number;

Change a word problem into an arithmetic problem;

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

Report the results of mathematical explorations concisely and coherently

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## The Netball Tournament

Solve a problem by being systematic

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## Using Tens Frames for the Strategy of Bridging to Ten

The purpose of this unit is to introduce the part-whole strategy of bridging to ten.

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## Grandpa's Chocolates

Double numbers

Use mental strategies to solve simple additions

Devise and use problem solving strategies (use equipment, guess and check).

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## Pirate Swords

Solve problems involving halves,quarters and thirds

Devise and use problem solving strategies to explore situations mathematically.

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## Rabbits

Solve a problem by working backwards.

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## More Pizzas and Things

Solve problems that involve halves and thirds

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

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## Sharing Lollies

Solve problems that involve halves and thirds.

Devise and use problem-solving strategies (draw, act) to explore situations mathematically

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## Sharing More Lollies

Solve problems that involve halves and thirds

Used the terms greater than and less than in the solution of the problem

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Use their mathematical knowledge to invent problems;

Solve other students' problems.

Devise and use problem solving strategies to explore situations mathematically.

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## Little Magic Squares

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

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## How long does it take?

This unit involves students in looking at the lengths of time various activities take and calculating how long is spent on these activities in a week.

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## Subtraction in parts

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

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## Subtracting Tens and Ones

Solve addition and subtraction problems by using place value partitioning.

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Solve addition and subtraction problems by using place value partitioning.

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## Compatible Numbers

Solve addition problems by using compatible numbers.

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## Up Over Ten

Solve addition and subtraction problems by going through tens.

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Solve addition and subtraction problems by going through tens.

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## Hungry Birds

Find unit fractions of sets using addition facts.

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## Animals

Find unit fractions of sets using addition facts.

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## Multiplication or out

Solve multiplication problems by using repeated addition.

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## Pirate Crews

Solve division problems by sharing.

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## Twos, Fives, and Tens

Solve multiplication problems by using repeated addition.

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## Problems like 23 + ? = 71

Solve addition and subtraction problems by compensating with tidy numbers.

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## Jumping The Number Line

Solve addition and subtraction problems by compensating with tidy numbers.

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## Three or More at a Time

Solve addition problems by using compatible numbers.

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## Wafers

Find unit fractions of regions.

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## Three's Company

Solve multiplication problems by using repeated addition.

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## You Don't Need the Number

Solve addition problems by using compatible numbers.

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## Fractions in a Whole

Find unit fractions of sets using addition facts.

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## Compatible numbers to ten

These exercises and activities are for students to use independently of the teacher to practice number properties. Some of these activities would be suitable for homework. Others require follow-up during teaching sessions.

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## Compatible numbers to 20

These exercises and activities are for students to use independently of the teacher to practice number properties. Some of these activities would be suitable for homework. Others require follow-up during teaching sessions.

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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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## Making Money

This is a level 2 number strand activity from the Figure It Out series.

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## The Change Game

This is a level 2 number strand activity from the Figure It Out series.

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## Space Escape

This is a level 2 number strand activity from the Figure It Out series.

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## Bank on It

This is a level 2 number strand activity from the Figure It Out series.

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## Change in Thinking

This is a level 2 number strand activity from the Figure It Out series.

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## Shopping Around

This is a level 2 number strand activity from the Figure It Out series.

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## Coin Control

This is a level 2 algebra strand activity from the Figure It Out series. It also has an achievement objective from the Level 2 Number strategies substrand.

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## Train Talk

This is a level 2 algebra activity from the Figure It Out series. It also has the achievement objective from the Level 2 Number strategies substrand.

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## Twenty-Seven

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

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## Animal Antics

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

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## Nines and Eights

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

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## Diamond Dazzle

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

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## Memory Testing

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

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## Magical Tens

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

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## Back Through Ten

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

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## Different Strokes!

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

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## Mighty Marty!

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

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## Snakes in the Grass

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

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## Hip Hup Hop

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

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## Birthday Time

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

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## Weka Wobble

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

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

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## The Pig Pen

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

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## Pocket Money

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

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## What's My Number?

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

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## Flipping Fractions

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

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## Emani's Haircutting

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

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## Cooking Up a Storm

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

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## Puzzling Shapes

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

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## Frogs Frolic

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

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## Soap Suds

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

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## Rolling Along

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

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## All that Glitters

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

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## Hitting 100

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

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## Hunting the Taniwha

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

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## Flexible Fingers

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

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## Counting Counts

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

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## On Target

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

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## Leapfrog

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

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## On and Off the Train

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

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## To Market, to Market

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

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## Double Trouble

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

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## The Dinosaur Dig

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

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## Tummyache

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

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## Fun Folding

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

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## Finding Fractions

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

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## Putting Numbers to Work

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

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## Going Down

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

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## Circle Segment

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

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## Fabulous Folding

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

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## Getting in Shape

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

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## How Many?

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

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## Flitting with Fractions

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

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## Dividing Dough

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

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

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## Fund-raising

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

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## Jungle Land

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

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## Space Zapper

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

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## Weigh to Go

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

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## Resolving Differences

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

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## Container Contents

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

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## Caught on Camera

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

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## King of the Castle

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

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## Firewood Fever

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

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## Down with Darts

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

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## Absolutely Abseiling

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

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## Piece of Cake

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

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## High Flyers

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

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## Hiding in the Swamp

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

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## Biscuit Boxes

Solve division problems by sharing.

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## Wrapping up Wontons

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

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## Pet Boasting

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

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## 50 First

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

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## The No Name Game

This is a level 2 number activity from the Figure It Out series. It relates to Stage 4 of the Number Framework.

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## Pick a Plate

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

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## Make 28

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

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## Tidying Up

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

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## Seeing Cs

These are a level 2 number problems from the Figure It Out series.

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## Dotty Darts

These are level 2 number and geometry problems from the Figure It Out series.

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## Pieces of Eight

These are level 2 number and shape problems from the Figure It Out series.

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These are level 2 number and geometry problems from the Figure It Out series.

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## Food for Thought

These are level 2 number and algebra problems from the Figure It Out series.

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## Reflect on This

These are level 2 number and geometry problems from the Figure It Out series.

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## Quacky Questions

These are level 2 number, algebra, and geometry problems from the Figure It Out series.

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## Setting up Swaps

These are level 2 number problems from the Figure It Out series.

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## Kete Counting

These are level 2 number problems from the Figure It Out series.

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## Marble Mania

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

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

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## Friends Forever

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

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## Terms Time

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

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## Fishy Friends

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

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## Comparing Costs

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

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## Raising Money

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

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## Money-making Mice

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

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## Doggone Expensive!

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

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## How many people?

This is a level 2 number activity from the Figure It Out theme series.

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## Starry-eyed

This is a level 2 number activity from the Figure It Out theme series.

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## Time it Right

This is a level 2 number activity from the Figure It Out theme series.

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## Fraction Animals

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

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## Fraction wafers

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

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## Building an Eco-house

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

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## One is a snail, ten is a crab: A counting feet book

This is an activity based on the picture book One is a snail, ten is a crab: A counting feet book

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## One Hundred Hungry Ants

This is an activity based on the picture book One Hundred Hungry Ants

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## A Remainder of One

This is an activity based on the picture book A Remainder of One

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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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## 365 Penguins

This is an activity based on the picture book 365 Penguins

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## The Great Divide: A Mathematical Marathon

This is an activity based on the picture book The Great Divide: A Mathematical Marathon

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## Mr Chicken Goes to Paris

This is an activity based on the picture book Mr Chicken Goes to Paris

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## Wall Display - level 2

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