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"Lesson Activities"
Graph $y={ x }^{ 2 }-2x-1$ .
1. What type of an equation is this?
2. Remember the general form of an equation of this nature: $y={a x }^{ 2 }-bx-c$
When $a > 0$ the graph is $\cup$ shaped and when $a < 0$ it is $\cap$ shaped. What is the situation in our problem?
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What is the rule (or function) that gives the outputs corresponding to the inputs shown in the diagram mapping 1 to 8 and 3 to 24 etc?
The Function Game is played in silence. Learners have to guess the function in the teacher’s mind. The teacher tells the learners that she wants […]
Download the pieces of the puzzle here and cut out the 16 small triangles.
Arrange the 16 pieces into a larger triangle so that the numbers on matching edges are the same, for example .
Click here to download the POWER MATCHING worksheet.
Click here for Notes for […]
Find values of x and y for which these five expressions all have the same value.
Do you have exactly the right amount of information or more information than you need?
Click here to download the MATCHLESS worksheet.
Click here to download the MATCHLESS worksheet.
Click here to download the AIMSSEC […]
What do you see in this image?
What is the area of the bigger square edged by dotted line segments of length a?
What is left of that area if you take away a square with edges of length b?
What is the area of the rectangle formed by the yellow […]
1. What do you see in this picture?
Give a proof linked to this picture of the formula $a^2 – b^2 = (a + b)(a – b)$ .
2. What do you notice about the difference between squares of consecutive numbers?
Compare the differences between squares of numbers that differ by 1 […]
Is a picture worth a thousand words, as the saying goes?
This picture shows the first 4 triangle numbers: 1, 3, 6 and 10 and how you can fit 2 identical copies of a triangle together to form a rectangle.
Can you use it to find the number of dots in the […]
Both these two numbers are recurring decimal fractions. The digits 12 are repeated again and again indefinitely.
0.12121212…
12.12121212…
Multiply the first number by 100. What do you get?
Subtract the smaller number from the bigger one. What do you get?
What does this tell you […]
The aim is to make square domino loops, like the one in the picture, from 4 dominoes matching the fractions, decimals and percentages. Start with any domino and find 2 other dominoes to match the ends of the first domino.
For example, the [3/10 and 10%] domino matches with 30% at […]
Graphs and equations of 7 quadratic functions are given here.
Match them and put them into 7 sets. Write down the coordinates of the intercepts with the axes.
Make a poster showing the graph of each function with the matching equations.
In all these examples the coefficient of […]
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