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Level Five > Number and Algebra

# AO1: Form and solve linear and simple quadratic equations.

Children
Resource

## Arithmagons

In this unit students explore patterns and relationships among the circle numbers and box numbers that form different arithmagons. In the early sessions there are opportunities for students to suggest and try out several different rules based on numerical patterns that can be used to solve firstly triangular arithmagons and then square arithmagons. Later, students use simple linear algebra to solve triangular arithmagons and then in the final session, students establish and prove algebraically the general rules for solving arithmagons.

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## Beanies

This unit looks at ratio problems related to the Beanies’ Problem below. The idea is to provide help for students to understand ratio problems and to provide an entry into solving them using one simple algebraic equation.

The Beanies’ Problem It takes 4 balls of wool to make 7 beanies. How many balls of wool does it take to make 19 beanies?

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## Playdough Balls

compare the volume of a sphere and a cylinder by either measuring or applying a formula.

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

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## Displaying Postcards

Apply algebra to the solution of a problem

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

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## Jackson's Consecutive Numbers

Describe a rule for the general term.

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

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## Olympic Training

Form and solve linear equations

Use ratios

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

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## The Painting Triplets

Form and solve linear equations

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

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## Square and Triangular Numbers

Give a general expression for the nth term of a pattern

Describe the links between different patterns

Devise and use problem solving strategies to explore situations mathematically

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## From a Square to a Rectangle

Solve problems involving percentage increases and decreases

Apply the area formulas for squares and rectangles

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

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## Doubling Up

Perform calculations with powers of numbers and square roots

Explain the relation between a square root and a square.

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

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## The Magic Squares

Use algebra as required

Construct magic squares

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## Working Backwards

Use their mathematical knowledge to invent problems

Devise and use problem solving strategiesto explore situations mathematically.

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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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## Alien Critters

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.