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Level Three > Number and Algebra

AO2: Connect members of sequential patterns with their ordinal position and use tables, graphs, and diagrams to find relationships between successive elements of number and spatial patterns.

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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Pattern Parade

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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Perparing 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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Spreadsheet Challenge

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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Thinking Ahead

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

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Patterns and Spreadsheets

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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Looking Ahead

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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Mayan Adventure

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.