Checking understanding of expressions and equations | Maths

Starter quiz

Match the numbers with the correct statements.
- 10
  
  ⇔
  
  is a multiple of 5 ✓
- 9
  
  ⇔
  
  is a multiple of 3 ✓
- 14
  
  ⇔
  
  is a multiple of 7 ✓
- 16
  
  ⇔
  
  is a multiple of 4 ✓
Which calculation represents '6 lots of 5'?
- $6+5$
- $6-5$
- $6\div5$
- $6\times 5$ ✓
Given that $21\times 17=357$ which of the following are true?
- $21\div 17=357$
- $17=357-21$
- $357\div 17=21$ ✓
- $17=357\div 21$ ✓
$Look at the pattern shown. What does the 12 represent in the calculation <Math>3\times 4=12</Math> ?$

Look at the pattern shown. What does the 12 represent in the calculation $3\times 4=12$ ?
- 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.
$Look at the pattern shown. What does the 4 represent in the calculation <Math>3\times 4=12</Math> ?$

Look at the pattern shown. What does the 4 represent in the calculation $3\times 4=12$ ?
- 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
$Look at the pattern shown. What does the 3 represent in the calculation <Math>3\times 4=12</Math> ?$

Look at the pattern shown. What does the 3 represent in the calculation $3\times 4=12$ ?
- 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

Exit quiz

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
- A rule that will work for all relevant cases ✓
- A rule about shapes
True or false: multiplying by 5 then adding 1 is the same as multiplying by 6
- True- because $5+1=6$
- False- $2\times 5 +1=11$ ✓
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 ______
- '2' ✓
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
- The number of bars is 3 lots of the number of days he is hiking ✓
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.
- $\times 2$
  
  ⇔
  
  finds the amount of bread given the number of sandwiches ✓
- $\times 3$
  
  ⇔
  
  finds the amount of cheese given the number of sandwiches ✓
- $\times 4$
  
  ⇔
  
  finds the number of olives given the amount of cheese ✓
- $\div 4$
  
  ⇔
  
  finds the amount of cheese given the number of olives ✓
- $\div 3 \times 2$
  
  ⇔
  
  finds the amount of bread given the amount of cheese ✓
- $\div 2 \times 3$
  
  ⇔
  
  finds the amount of cheese given the amount of bread ✓
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?
- 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
- Number of squares in one row times 3 subtract 3 ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

Linear sequences can be generated from a rule.
Linear sequences that follow a rule can be described in words.
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.