Te Kete Ipurangi
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# 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)