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## Grade 10 General Angle Trigonometry Investigation

*By toni On 27 September, 2017 · Leave a Comment*

DO NOT USE CALCULATORS FOR THIS WHOLE CLASS ACTIVITY.

YOU NEED TO KNOW: that the cosine and sine functions for ALL ANGLES are given by the coordinates of points on the UNIT CIRCLE. The x-coordinates of points on the unit circle give the cosine of the angle between the x-axis and the radius measured anti-clockwise […]

1. For each line fill in your answers to the following questions in the table below: (Line E has been done for you.)

(i) Write down the coordinates (0; c) of the point of intersection of the line with the y-axis (the y intercept).

(ii) Choose two points on the line . […]

## Grade 10 to 12 Coordinate Patterns

*By toni On 5 January, 2014 · 22 Comments*

Imagine this pattern of squares continuing on and on …

How do you find the coordinates of the centre of square 1 if you know that (0, 3), (3, 4), (4, 1) and (1, 0) are vertices?

What are the coordinates of the centre of the 20th square?

Imagine the sequence of […]

## Grades 9 and 10 – Route to Infinity

*By toni On 17 January, 2012 · Leave a Comment*

Look at the route the arrows follow in this diagram. Look away from the screen and try to describe their path.

Will the route pass through the point (18,17)?

If so, which point will be visited next? Explain how you found out.

How many points does the route pass through […]

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