Te Kete Ipurangi
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# Patterns and relationships

Children
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## All Shapes and Sizes

This unit brings together a number of valuable mathematical ideas using the practical context of international paper sizes. In this context, the number √2 appears naturally as do arithmetic and geometric means. The international paper formats provide a way for students to practice some basic algebra by finding the general terms of patterns and then using these general expressions to find other specific terms. More algebra is present in the continued fractions of the last session. Students are also encouraged to practice their measuring skills with the aim of furthering their knowledge about the paper formats that are the subject of this unit.

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## Square Milk Bottle Crates

Find a rule for a quadratic pattern

Justify or explain the rule for a quadratic pattern

Devise and use problem solving strategies to explore situations mathematically (be systematic, draw a diagram, use a table, use algebra).

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## Rectangular Milk Bottle Crate

Find and use patterns to solve a problem (algebraically or by using a table)

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## Peter's Third String

Determine the maximum area of a rectangle with a given perimeter

Consider how the area of a quadrilateral changes as its shape changes

Interpret a relationship from a graph

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## Skateboardathon

This is a level 4 algebra strand activity from the Figure It Out series.

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## Alien Critters

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

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## Moving and Shaking

This is a level 5 and 6 number activity from the Figure It Out theme series.

## AO1: Generalise the properties of operations with rational numbers, including the properties of exponents.

Children
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Use the numbers facts with digits to solve a problem

Devise and use problem solving strategies to explore situations mathematically (guess and check, be systematic, look for patterns, think, use algebra).

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## All The Ones

Use a calculator efficiently

Devise a strategy to solve a number problem involving remainders.

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

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## How Many Numbers ?

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

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## Nine Tiles

Guess and check the solution to a number problem;

Explain the effect of "carry-overs" in addition problems.

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## Ten Tiles II

Identify numbers divisible by 5;

Count large but relatively straightforward sets.

Devise and use problem solving strategies to explore situations mathematically (be systematic, think, draw a diagram).

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## Ten Tiles III

Identify numbers divisible by 9

Count large but relatively straightforward sets.

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

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## The difference of two squares

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

Children
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## Holistic Algebra

We have available a large range of activities that can be used for developing some basic concepts in algebra. Students often complain that they cannot see the point of learning algebra so all of the teaching of skills here is placed within contexts. The intention of this unit is not to teach skills in isolation, but rather to use each activity for developing all the concepts. It is not suggested that this unit should replace the skills practice traditionally used in the teaching of algebra. It does, however, provide the opportunities for discussion and development of concepts. As each learning outcome is explored there will probably be need for consolidation through more traditional exercises. With the first activities one will probably not wish to explore all aspects with the whole class, but the possibility is there for extending individuals. It would also be appropriate to use the first activity for diagnostic assessment.

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## Tilted Squares and Right Triangles

The initial focus of this unit involves students in gathering data from their investigation of squares that can be made on different sized geoboards, (an array of dots arranged on a square grid).  Students need to be systematic in their work, and to record their results in ways that are likely to help them notice patterns and relationships.

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## Fibonacci I

In this unit we look at Fibonacci numbers and how they occur in nature. We also look at what factors Fibonacci numbers can have.

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## Linear Graphs and Patterns

Techniques for drawing linear graphs are introduced via whole number problem situations where the focus is on the solutions rather than the technique. Only linear equations of the form ax±by=c are graphed by finding two or more points on the line. No attempt is made to link these equations by algebra to the gradient intercept form y=mx+c.

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## Poppy Meets Pythagoras

Find connections between numbers in a table

Use Pythagoras’ theorem in a general algebraic form

Measure accurately from a scale drawing.

devise and use problem solving strategies to explore situations mathematically (be systematic, draw a diagram).

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## Can Stack

Find the rule for summing consecutive numbers

Identify the pattern of triangular numbers.

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

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## Rows of Numbers

Generate patterns from a structured situation

Find a rule for the general term (extension problem).

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

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## Multiplicative sequences

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

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## Table Tennis

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

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## The Power of 2

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

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## Web Circles

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

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## Square Number Differences

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

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## Domino Stacks

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

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## Counting Cubes

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

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## From One to Another

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

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## Areas of Interest

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

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## Mats, Patterns, and Rules

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

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## Suspended Thought

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

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## Jam Jars

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

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## Roller Coasting

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

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## What happens on Average

In this unit students are introduced to convergence of sequences based on averaging previous terms in the sequence. The power of the “fill-down” function in spreadsheets is exploited. By using various starting numbers, and inferring the limit, students are encouraged to make generalisations of formulae for the convergence of sequences using arbitrary starting numbers.

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## Ten Tiles I

Identify numbers divisible by 10;

Count large but relatively straightforward sets.

Devise and use problem solving strategies to explore situations mathematically (be systematic, think, use a simpler case, draw a digram).

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## Cut and Paste Algebra

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

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## The difference of two squares

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

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## Body Measurements

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

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## You Can Count on Squares!

The unit is presented as a scenario that includes five tasks that students engage in and explore to develop mathematical, specifically algebraic, ideas. Although the tasks are built around measurement, they are algebraic to the extent that they require ‘formulae’ to be derived form the geometric situations. It is sufficient at this Level for the students to express these formulae in words rather than in symbols.

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## Matilda's Waltz with the 5 Strip Box

This unit allows the class to work on two different pattern themes. It lays the foundations for Algebra at Level 5 by requiring them to articulate the patterns.

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## Building as a General Rule

In this unit we are paying close attention to the general rule of a pattern for the first time.  We look at odd and even numbers as well as multiples of small numbers.  We also look at squares and cubes of numbers and see that it is possible to make more than one pattern from the same three initial terms.

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## The Truth About Triangles and Squares

This unit explores some of the algebra behind triangular and square numbers.

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## Tukutuku Patterns

In this unit some Tukutuku patterns are introduced. Rotations of these patterns produce simple shapes whose area formulae are well known. From these formulae algebraic formulae for sequences can be deduced.  While the unit is written to the Level 4 Achievement Objectives, the work is quite advanced and may be most suitable for students entering Level 5.

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## Magic Squares

In this Unit, students develop and use algebraic representations of 3-by-3 magic squares in which the sum of the three numbers in each row, column, and diagonal, add to a constant number known as the Magic Number. The unit provides opportunities for students to use their problem solving skills, to begin to consolidate their skills with algebraic manipulation and to solve an array of problems using their algebraic tools.

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## Drive

This unit uses one of the digital learning objects, Drive: easy problems, to support students as they investigate linear relationships. The context of driving illustrates the relationship between time, distance and speed. The students use the information from one situation to establish the relationship between the variables and apply it to new numbers. Information is given in a table and on a graph. The students’ answers are shown on the graph. It is suitable for students working at stage 7 of the number framework. It includes a sequence of problems and questions that can be used by the teacher when working with a group of students on the learning object, and ideas for independent student work.

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## Bubblegum balls

Identify the possible outcomes of an event

Write a rule for the pattern

Interpret information and results in context (logic, be systematic)

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## The Topsy-Turvy Twins

Use a graph to describe a rule for continuing a number sequence

Use a graph to compare two number sequences

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

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## QwikQure Algebra

Use the graph to describe the relationship

Devise and use problem solving strategies (draw a picture, make a table)

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## Take Three Or Less

Identify patterns used in solving the problem (multiples of 3).

Devise and use problem solving strategies (draw a picture, use equipment, work backwards).

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## The Farmer's Sheep II

Write in words a rule to describe any member of a number sequence

Devise and use problem solving strategies to explore situations mathematically.

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## Counting Pills

Express rules in words

See more than one rule for a given pattern

Devise and use problem solving strategies to explore situations mathematically

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## Paul's Patterns

Find a rule to describe any member of a number sequence and express it in words.

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

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## Volumes of Cubes

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 with subsequent recording/reporting.

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## All Square

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

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## Stacking Patterns

This is a level 4 algebra strand activity from the Figure It Out series.

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## Where to Sit?

This is a level 4 algebra strand activity from the Figure It Out series.

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## Animal Antics

This is a level 4 algebra strand activity from the Figure It Out series.

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## Seeing Dots

This is a level 4 algebra strand activity from the Figure It Out series.

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## Delicatessen Mathematics

This is a level 4 algebra strand activity from the Figure It Out series. It also has an achievement objective from the Level 4 Number strategies and knowledge substrand.

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## Tongan Travel

This is a level 4 algebra strand activity from the Figure It Out series.

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## Patterns and Rules

This is a level 4 algebra strand activity from the Figure It Out series.

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## Stacks of Money

This is a level 4 algebra strand activity from the Figure It Out series.

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## Which DJ?

This is a level 4 algebra strand activity from the Figure It Out series.

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## Straw Chains

This is a level 4 algebra strand activity from the Figure It Out series.

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## Number Crunching

This is a level 4 algebra strand activity from the Figure It Out series.

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## Bailey Bridges

This is a level 4 algebra strand activity from the Figure It Out series.

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## Up the Garden Path

This is a level 4 algebra strand activity from the Figure It Out series.

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## Stapled

This is a level 4 algebra strand activity from the Figure It Out series.

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## An Artist's Delight

This is a level 4 algebra strand activity from the Figure It Out series.

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## Pegged Out

This is a level 4 algebra strand activity from the Figure It Out series.

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This is a level 4 algebra strand activity from the Figure It Out series.

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## Fish and Chips

This is a level 4 algebra strand activity from the Figure It Out series.

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This is a level 4 algebra strand activity from the Figure It Out series.

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## Digit Chains

This is a level 4 algebra strand activity from the Figure It Out series.

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## Number Puzzles

This is a level 4 algebra strand activity from the Figure It Out series.

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## Changing Tyres

This is a level 4 algebra strand activity from the Figure It Out series.

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## Save Some, Spend Some

This is a level 4 algebra strand activity from the Figure It Out series.

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## Table Mats

This is a level 4 algebra strand activity from the Figure It Out series.

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## Design Day

This is a level 4 algebra strand activity from the Figure It Out series.

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## Kidding Around

This is a level 4 algebra strand activity from the Figure It Out series.

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## Stepping Stones

This is a level 4 algebra strand activity from the Figure It Out series.

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## Letter Designs

This is a level 4 algebra strand activity from the Figure It Out series.

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## Frieze

This is a level 4 algebra strand activity from the Figure It Out series.

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## Stick Houses

This is a level 4 algebra strand activity from the Figure It Out series.

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## Marooned

This is a level 4 algebra strand activity from the Figure It Out series.

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This is a level 4 algebra strand activity from the Figure It Out series.

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## Holiday Pay

This is a level 4 algebra strand activity from the Figure It Out series.

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## Calendars and Short Cuts

This is a level 4 algebra strand activity from the Figure It Out series.

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## Initials Logo

This is a level 4 algebra strand activity from the Figure It Out series.

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## Bathroom Tiles

This is a level 4 algebra strand activity from the Figure It Out series.

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## Patterns and Designs

This is a level 4 algebra strand activity from the Figure It Out series.

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## Tiling Spacecraft

This is a level 4 algebra strand activity from the Figure It Out series.

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## Rotten Apples

This is a level 4 algebra strand activity from the Figure It Out series.

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## Building Borders

This is a level 4 algebra strand link activity from the Figure It Out series.

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## Which Wheels Where?

This is a level 4 algebra strand link activity from the Figure It Out series.

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## Missing Digits

This is a level 4 algebra activity from the Figure It Out series.

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## Picking Patterns

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

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## Ps for Ever

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

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## Thirsty Work

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

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

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

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## Profit or Loss?

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

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

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## Solar-powered Shower

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

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## A Helping Hand

This is a level 4 algebra activity from the Figure It Out theme 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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## Bungy Jump Energy

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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## Family Likeness

This is a level 4 algebra activity from the Figure It Out series.

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## The rabbit problem

This is an activity based on the picture book The rabbit problem

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## Fibonacci’s Cows

This is an activity based on the short illustrated novel Fibonacci’s Cows

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## Bouncing Back

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

Children
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## Two's Company

This unit presents students with several problems that develop the idea of binary (base two) arithmetic. In the course of solving the problems, students are required to look for patterns and relationships and describe them using symbols and mathematical language.

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## Multiplication and Division Pick n Mix 1

In this unit we look at a range of strategies for solving multiplication and division problems with whole numbers with a view to students anticipating from the structure of a problem which strategies might be best suited. This unit builds on the ideas presented in the Multiplication Smorgasbord session in Book 6: Teaching Multiplication and Divsion.

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## Doubling and halving

These activities are designed to teach doubling and halving strategies.

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## Divide and Conquer

This is a collection of activities to enhance and extend division skills and understanding.

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## Series-ous Escape

These exercises, activities and games are designed for students to use independently or in small groups to practise number properties. Some involve investigation (Mikes Investigation Sheet link) and may become longer and more involved tasks with subsequent recording/reporting.

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## Writing in Words and Symbols

These exercises and activities are for students to use independently of the teacher to develop and practice algebraic reasoning. They follow from teaching sessions that are described below. The initial teaching episode is an attached lesson, while other teaching sessions are outlined in the ‘background’ section.

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## Number Juggling

This is a level 4 and 5 algebra strand activity from the Figure It Out series.

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## Mystery Hexagons

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

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## True or False?

This is a level 4 algebra link activity from the Figure It Out series.

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## Digital Delights

This is a level 4 algebra link activity from the Figure It Out series.

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## Number Returns

This is a level 4 algebra link activity from the Figure It Out series.

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## Pascal's Patterns

This is a level 4 algebra link activity from the Figure It Out series.

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## Factor Patterns

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

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## Anno’s Mysterious Multiplying Jar

This is an activity based on the picture book Anno’s Mysterious Multiplying Jar.

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## The number devil: A mathematical adventure

This is a series of activities based on the novel The number devil: A mathematical adventure

Children
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## Matchstick Patterns

The unit investigates patterns made using matchsticks and tiles, so it involves the children in active learning. The relation between the number of the term of a pattern and the number of matchsticks (tiles) that that term has, is explored with a view to finding a general rule. This rule can be expressed in words or any other way that the class is comfortable with.

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## Hundreds of Patterns

The unit investigates how the link between recursive rules and pattern on the hundred’s board and other types of arrangements for whole numbers. Students are encouraged to find rules for relationships as shown through patterns on number grids and calculator outputs.

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## Building Patterns Constantly

In this unit we introduce some number patterns using buildings constructed with squares. The aim of the unit is for the students to be fluent in constructing tables of patterns and in finding the recurrence rule for a simple pattern where the increase from term to term is a constant.  We also talk about the general rule but don’t expect all students to be able to fully grasp and use this concept.

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## Building Patterns Incrementally

This unit aims to give students the opportunity to explore recurrence rules for patterns where the increase from one term to the next is not constant.  Encourage them to find the recurrence rule.  Actually some students will find it easier to find the general rule here as in some ways it is less complicated than the recurrence rule.

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## Cups and Cubes

In this unit students explore the use of cups and counters as a model to analyse the effects of operations rather than focusing on specific numbers.

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## Shaking Hands

Describe in words the rules for the pattern

Identify the pattern of triangular numbers

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

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## Toothpick squares

State the general rule for a practical situation.

Devise and use problem solving strategies to explore situations mathematically (guess and check, be systematic, make a drawing, use equipment, make a table).

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## Race To 100

Describe in words number patterns

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

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## The Farmer's Sheep

Devise and use problem solving strategies to explore situations mathematically.

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## Sara's Table

Describe number patterns;

Solve problems involving patterns.

Devise and use problem solving strategies (guess and check, make a table, look for patterns)

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## Triangular Numbers

Continue a pattern;

Use a table where appropriate;

Find a relation between successive members of a pattern.

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## Decreasing differences

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

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## Crazy Cubes

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

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## Out of Sight

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

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## Terrific Tiles

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

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## Sticking Around

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

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## Tukutuku Patterns

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

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## Pegging Problems

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

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

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## Possum Poles

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

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## Preparing for the Hāngi

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

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## Ups and Downs

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

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## Operation Time

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

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

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## Biscuit Binge

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

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## Kai Moana

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

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## Duncan's Day

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

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## Puzzling Patterns

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

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## Pattern Predictions

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

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## Bits and Pieces

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

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## Waka Widths

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

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## Ten-Storey Thomas

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

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## Double Rules

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

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## Dialling Dilemma

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

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## Graphic Details

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

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## Cube Signs

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

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## Fencing

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

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

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

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## Digit Chains

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

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## Pizza Order

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

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## Tiling Teasers

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

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## Whānau Photo

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

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## Graphic Detail

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

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## Table Talk

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

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## Soccer Saturdays

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

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## Curling

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

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## Planning Paths

This is a level 3 algebra activity 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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## Shaping Up

These are level 3 number, algebra, measurement 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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## Layer upon layer

These are level 3 number, algebra, and geometry 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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## Following On

These are level 3 number and algebra and level 5 number 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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## Back to Back

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

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## Out for the Count

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

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## You're All Heart!

These are level 4 number, and measurement problems and level 3 algebra 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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## Fish Forms

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

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## Delta Island

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

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This is a level 3 geometry and algebra activity from the Figure It Out theme series.

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## Epidemic!

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

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## High Wire

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

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## Skewered Fruit

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

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## Learning by Braille

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

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## Spaghetti and Meatballs for All!

This is an activity based on the picture book Spaghetti and Meatballs for All! A Mathematical Story

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## Properties of Operations

Students work out their own generalizations of the properties of number operations through their exploration of addition, subtraction, multiplication and division.

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## Take Two

Select and use a problem solving strategy (eg use equipment, work backwards, draw a picture).

Identify patterns used in solving the problem (multiples of 3).

Devise and use problem solving strategies (draw a picture, use equipment, think, work backwards).

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## All Square

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

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## Staircase Capers

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

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## Investigating Digits

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

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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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## Simple Solutions

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

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

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## Dining on Digits

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

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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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## Pede Patterns

This unit is about generating number patterns for certain ‘insects’ from the mythical planet of Elsinore. Each ‘Pede’ is made up of square parts and has a number of feet. The patterns all link the number of feet and the number of squares. The students are encouraged to explore the patterns for themselves and try to make the connections between feet and squares. The patterns range from counting by 2s and 3s to being the number of feet plus three.

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## Staircases

This week we explore the patterns in different types of staircases.

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## Letter Patterns

In this unit we look at the number patterns we get from letters and numbers. We keep track of the numbers involved by drawing up a table of values. It’s important here to look for the pattern and see how the number of tiles changes from letter to letter.

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## Supermarket Displays

In this unit the students look at the number patterns created when tins are stacked in different arrangements. The aim of the unit is for students to keep track of the numbers involved by drawing up a table of values.  They are then encouraged to look for patterns in the numbers.

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## Taxi Fare

Count in twos using odd numbers

Describe a repeating number pattern

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## Treasure to Ship

Use equipment to work out a problem

Make and describe a repeating pattern to solve a problem

Devise and use problem solving strategies to explore situations mathematically

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## Cannon Balls

Identify a pattern and describe this using their own words

Use equipment appropriately when exploring mathematical ideas; devise and use problem solving strategies to explore situations mathematically (guess and check, make an list).

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## Jo's Table

Continue patterns

Describe number patterns

Devise and use problem solving strategies (guess and check, make a table, look for patterns)

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## Pick the Pattern

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

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## The Mystery of the Vanishing Pattern

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

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## Punching Numbers

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

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

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## Sticky Moments

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

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## Fair and Square

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

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## Table Time

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

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## Puzzling Picnics

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

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## A Spot of Sickness

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

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## Building Graphs

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

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## Perfect Patterns

This is a level 2 algebra strand activity 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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## Quacky Questions

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

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## Entertaining Patterns

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

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## Flipping Fish

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

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## Scaling Up

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

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## The biggest number in the universe

This is an activity based on the picture book The Biggest Number in the Universe