Te Kete Ipurangi
Communities
Schools

# relationships

## The Castle

• Problem Solving Activities
• Geometry and Measurement
• Level Four

Construct 3-D shapes from 2-D drawings

Describe the symmetries of 3-D shapes

Draw 3-D shapes on isometric paper

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

## Linear Graphs and Patterns

• Units of Work
• Number and Algebra
• Level Five

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.

## Tilted Squares and Right Triangles

• Units of Work
• Number and Algebra
• Level Six

This is an investigation, leading to the derivation and use of Pythagoras' Theorem in two and three dimensions. The initial focus of this unit involves students in aspects of geometry from levels 4 and 5 of the curriculum, to establish the groundwork necessary for the final stages of the unit.