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GRADE 4 NUMBER PATTERNS
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GRADE 6 FRACTIONS
GRADE 7 EXPONENTS
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GRADE 10 ALGEBRAIC EXPRESSIONS LESSON STARTER
GRADE 11 EXPONENTS AND SURDS
GRADE 12 ALGEBRAIC PATTERNS – GEOMETRIC SERIES
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This is a game for two players. It requires a lot of thinking and strategic play.
Each player has 5 counters, bottle tops, buttons or stones that look different from the counters used by the other player.
To win the player must be the first to get his or her 5 counters […]
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 […]
Three quarters of the area of the rectangle has been shaded.
What is the value of x?
Click here to download the USE AREA TO FIND x worksheet.
Click here for the Notes for Teachers.
You are going to investigate quadrilaterals that have inscribed circles as shown in the diagram.
Draw a circle with any radius you choose, and then draw 4 tangents making a quadrilateral with the circle inside touching the quadrilateral at 4 points.
Measure the edge lengths of the quadrilateral ABCD.
What do you […]
1. ENVELOPE PATTERNS WITH STRAIGHT LINES
These straight lines form a family and the curves that you see, called envelopes, are tangent to each line in the family.
Draw two base lines and mark the same number of points at equal distances along each line. Join the outermost point on one base […]
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?
[…]
Which is longer, the dashed portion of the square or the circumference of the circle?
Explain your reasoning.
Click here for teacher’s notes
Start by watching the video https://youtu.be/B2dkNPaTmDY
Each student should have a stage 3 Sierpinski triangle of edge length about 6.5 cm and a colouring pen, and should colour their triangle as shown by the black filling in the small diagram.
The class will make poster of a stage […]
1. If the red square has area 1 square unit. What is the area enclosed by the stage 1 squareflake?
2. What is the area enclosed by the stage 2 squareflake? What about the stages 3 and 4 squareflakes?
3. If replacing each line segment on the edge with the zig-zag is […]
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