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"Lesson Activities"
Match the functions with their derivatives and values of the functions and derivatives.
What does this information tell you about the graphs of the 5 functions
For cards to cut out and sort to do this activity click here.
Click here to download the DERIVATIVE MATCHING worksheet.
For the […]
Use 11 sticks of equal length to make this triangle with edge lengths 2, 4 and 5. You might like to record this as (2, 4, 5). How many other triangles can you make with 11 sticks?
You could use paper sticks, toothpicks, or a piece of string with […]
Look at the picture where 7 copies of the bull’s head fit together without any spaces between them. Imagine this pattern extending to infinity. This is called a tessellation or wallpaper pattern. There are only 17 ways that shapes can be repeated to fill the plane.
Graph 1 is the graph y=sinx. Can you identify the coordinates of the points where it crosses the axes and where it reaches its maximum and its minimum values?
How could I make graph 2 from graph 1? Can you work out the equation of graph 2?
Graph 3 has equation y=sin2x. […]
The picture shows some shadows cast by solid (3 dimensional) objects as well as some flat (2 dimensional) shapes.
Describe 3D objects that could have made these shadows. There is more than one answer for each shadow.
Can you draw different shadows that could be made by the same objects?
What sort of shadows […]
This is a classic Chinese Tangram. Each of the people illustrated, and many convex polygons, can be made with the 7 pieces and there are hundreds of other puzzles based on this tangram.
Can you find a way to fold a sheet of paper so that you can cut out the tangram pieces accurately […]
Investigate what happens if you reflect the blue flag in Mirror 1, then reflect that image in Mirror 2.
Do you get the same results for the red flag if you reflect it first in Mirror 2 then reflect that image in Mirror 1?
You might like to copy the […]
Can you solve this 5 by 5 magic square?
Look carefully at the numbers in the 4 by 4 square.
What do you notice?
Add up the rows. Add up the columns. Add up the diagonals.
The square is magic.
Look carefully at the patterns when you find numbers adding up to 17.
[…]
Make a record of all the rectangles that you can find in this shape.
Which rectangles are exactly the same (congruent)?
Which rectangles are similar?
Is a Square a Rectangle – Template
Click here to download the IS A SQUARE A RECTANGLE? worksheet.
Click here to download the NOTES FOR TEACHERS.
[…]
(1) Plot the graphs of the straight lines y = x, y = 1.1x – 0.2
and y = 0.9x – 0.1
What do the graphs tell you about the solutions to the two pairs of simultaneous equations y = x y = 1.1x – 0.2 and y = x y = 0.9x – 0.1 […]
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