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degrees

Farewell Party

This is a level 4 measurement activity from the Figure It Out theme series.

Number in Geometry

These exercises, activities and games are designed for students to use independently or in small groups to practise number properties. Some involve investigation (see Related Resources) and may become longer and more involved tasks with subsequent recording/reporting. Typically an exercise is a 10 to 15 minute activity.

Working Backwards

Use their mathematical knowledge to invent problems

Devise and use problem solving strategiesto explore situations mathematically.

Hinea's Watch's Hands

find an angle greater than 360 degrees that relates to a given position

solve a linear equation

devise and use problem solving strategies to explore situations mathematically (be systematic, draw a diagram, guess and check, use algebra)

Hinea's Other Watch

Solve problems using the relationships between angles in a circle.

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

Investigating the Idea of Sin

In this unit we explore the sine and related functions to find out specific values, relations between them, and applications.

Investigating the Idea of Tan

In this unit we do a thorough exploration of tan, leading to the students being able to use tan to solve right angles triangles and to solve equations.

Investigating the Idea of Cos

Here we explore the cosine function, eventually using it to find unknown sides in right angles triangles.

Using Trigonometry

In this unit, students will explore the use of trigonometry to find unknown sides and angles in right-angled triangles, taking the concepts that were developed in the previous unit Introducing Trig and looking at different ways of practising the new skills. Students will then develop and reinforce skills to solve practical problems in trigonometry using the problem solving model

reality        arrow.       model     arrow.           solution    arrow.           check

It is important that good algebraic skills are used in setting out their work, and students can be encouraged to practice these individually and using cooperative logic problems in a group situation.

Angles, Parallel Lines, and Polygons

In this unit, students will learn to investigate polygons using an instrument of their own construction. They should be able to prove the general formula for the number of degrees in any polygon (including a triangle). Finally they will investigate an interesting locus problem related to polygons.


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