New
New
Year 7

Checking understanding of expressions and equations

I can generalise a situation using words to express what is happening.

New
New
Year 7

Checking understanding of expressions and equations

I can generalise a situation using words to express what is happening.

Lesson details

Key learning points

  1. Linear sequences can be generated from a rule.
  2. Linear sequences that follow a rule can be described in words.
  3. Changing one part of a situation can affect other parts.

Common misconception

Pupils might think that a pattern increasing by 3 each time has the rule add 3.

Pupils should think about the number of lines per square and the relationship between squares and lines. Avoid consecutive patterns to start

Keywords

  • Generalise - To generalise is to formulate a statement or rule that applies correctly to all relevant cases.

Get students to draw the square pattern in their own way first. Give discussion time to explore different ways of drawing the pattern and the similarities. Students should be thinking about how to make any pattern not how to get to the next pattern.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Match the numbers with the correct statements.
Correct Answer:10,is a multiple of 5

is a multiple of 5

Correct Answer:9,is a multiple of 3

is a multiple of 3

Correct Answer:14,is a multiple of 7

is a multiple of 7

Correct Answer:16,is a multiple of 4

is a multiple of 4

Q2.
Which calculation represents '6 lots of 5'?
$$6+5$$
$$6-5$$
$$6\div5$$
Correct answer: $$6\times 5$$
Q3.
Given that $$21\times 17=357$$ which of the following are true?
$$21\div 17=357 $$
$$17=357-21$$
Correct answer: $$357\div 17=21$$
Correct answer: $$17=357\div 21$$
Q4.
Look at the pattern shown. What does the 12 represent in the calculation $$3\times 4=12$$ ?
An image in a quiz
The number of triangles in the pattern.
Correct answer: The number of lines in the pattern.
The number of lines per triangle.
The number of triangles per line.
Q5.
Look at the pattern shown. What does the 4 represent in the calculation $$3\times 4=12$$ ?
An image in a quiz
Correct answer: The number of triangles in the pattern
The number of lines in the pattern
The number of lines per triangle
The number of triangles per line
Q6.
Look at the pattern shown. What does the 3 represent in the calculation $$3\times 4=12$$ ?
An image in a quiz
The number of triangles in the pattern
The number of lines in the pattern
Correct answer: The number of lines per triangle
The number of triangles per line

6 Questions

Q1.
Which description best explains what is meant by a generalised rule?
A rule that only works for one case
A rule that will work for any number
Correct answer: A rule that will work for all relevant cases
A rule about shapes
Q2.
True or false: multiplying by 5 then adding 1 is the same as multiplying by 6
True- because $$5+1=6$$
Correct answer: False- $$2\times 5 +1=11$$
Q3.
Alex is going hiking, he takes 2 toothpaste tablets per day of his trip. Complete the generalised rule: The number of toothpaste tablets he needs is the number of days multiplied by
Correct Answer: 2, two
Q4.
Alex is going hiking, he packs 3 snack bars per day. Select any true statements
The number of bars is the number of days add 3
The number of days is the number of bars multiplied by 3
For each additional day he will need to pack 1 extra bar
Correct answer: The number of bars is 3 lots of the number of days he is hiking
Q5.
Each sandwich contains 2 slices of bread, 3 slices of cheese and 12 olives. If you are told the number of sandwiches, match each calculation to what it will find.
Correct Answer:$$\times 2$$,finds the amount of bread given the number of sandwiches

finds the amount of bread given the number of sandwiches

Correct Answer:$$\times 3$$,finds the amount of cheese given the number of sandwiches

finds the amount of cheese given the number of sandwiches

Correct Answer:$$\times 4$$,finds the number of olives given the amount of cheese

finds the number of olives given the amount of cheese

Correct Answer:$$\div 4$$,finds the amount of cheese given the number of olives

finds the amount of cheese given the number of olives

Correct Answer:$$\div 3 \times 2$$,finds the amount of bread given the amount of cheese

finds the amount of bread given the amount of cheese

Correct Answer:$$\div 2 \times 3$$,finds the amount of cheese given the amount of bread

finds the amount of cheese given the amount of bread

Q6.
Jun is drawing J shape patterns in square grids like the example shown. Which rule best describes how to find the number of shaded squares for any sized pattern?
An image in a quiz
Number of squares in one row plus 3
Number of squares in one row times 2
Number of squares in one row times 3
Number of squares in one row times 2 subtract 2
Correct answer: Number of squares in one row times 3 subtract 3