# relationships

## Peter's Third String

- Problem Solving Activities
- Number and Algebra
- Level Six

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

## QwikQure Algebra

- Problem Solving Activities
- Number and Algebra
- Level Four

Use the graph to describe the relationship

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

## The Topsy-Turvy Twins

- Problem Solving Activities
- Number and Algebra
- Level Four

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).

## How old?

- Problem Solving Activities
- Number and Algebra
- Level Two

Write and talk about number sentences using =, <, >.

Make simple deductions

## Figure This

- Problem Solving Activities
- Number and Algebra
- Level Two

Use < > = symbols to describe relationships

## Karen's Tiles

- Problem Solving Activities
- Geometry and Measurement
- Level Five

investigate how perimeter changes as area changes

see the relation between area and perimeter for similar shapes

pose questions for mathematical exploration

prove or refute mathematical conjectures

## Playdough Balls

- Problem Solving Activities
- Geometry and Measurement
- Level Five

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).

## Tennis Ball Tubes

- Problem Solving Activities
- Geometry and Measurement
- Level Five

Use the formula for the circumference and diameter of a sphere to solve a problem

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

## Puck's Girdle

- Problem Solving Activities
- Geometry and Measurement
- Level Five

Find the circumference of a circle;

Understand the relationship between changes in the circumference of a circle and changes in the radius.

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

## The Chicken Run

- Problem Solving Activities
- Geometry and Measurement
- Level Four

explain the relationship between the area and perimeter of rectangles

use a table to solve a problem

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