Counting strategies
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Lesson details
Key learning points
- In this lesson, we will generalise counting strategies algebraically for repeating patterns.
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5 Questions
Q1.
Fill in the gap: We can use an ______ to compare the lengths and perimeters of different lines and shapes.
Equality
Equation
Expression
Q2.
Using the image, decide which of the following is true.
r < p
r < q
r = q
Q3.
Which inequality best compares the expressions for the perimeters of the 2 shapes below?
8p + q < 6p + q
8q + p < 6q + p
8q + p > 6q + p
Q4.
Which inequality best compares the expressions for the perimeters of the 2 shapes below?
4p < 2p + q
4p < 3p
4p > 3p
Q5.
Which inequality best compares the expressions for the perimeters of the 2 shapes below?
7p + q < 7p + 2q
7p + q > 7p + 2q
7p + r > 7p + q + r
5 Questions
Q1.
You can link together patterns of dots to form chains. Counting the dots in a ______ way can help you to find the number of dots in any length chain.
Clever
Good
Long
Q2.
For the chain below, complete the tracking calculation that illustrates the counting strategy for the total number of dots.
3 x 4
3 x 4 + 1
3 x 4 + 4
Q3.
For the chain below, complete the tracking calculation that illustrates the counting strategy for the total number of dots.
3 x 5
3 x 5 + 1
3 x 5 + 5
Q4.
Use the counting strategy from Q3 to find the total number of dots in a 10-chain.
30
37
40
Q5.
Use the counting strategy from Q3 to find the total number of dots in an n-chain.
3n + 1
3n + 5
6n + 1