Starter quiz
- An __________ is used to show one number or calculation is equal to another.
- addition
- equation ✓
- exponent
- expression
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- It costs £5 to enter a fairground and then £2 for each ride. How much would it cost to enter the fair and ride 3 rides? ______
- '£11' ✓
- Select any calculation which represents the statement "I am thinking of a number. I multiply it by 10, then add 5, then subtract 2"
- Which of these bar models represent the equation shown?
- In a game, these shapes are worth different amounts of points. If a square is worth and a circle is worth , what is the total number of points in the diagram shown? ______
- '32' ✓
- In a game, these shapes are worth different amounts of points. If a square is worth and a circle is worth , what is the total number of points in the diagram shown? ______
- '-2' ✓
Exit quiz
- Match the keyword to the definition
- equation⇔a mathematical statement showing one thing equal to another ✓
- generalised rule⇔a statement that applies to all relevant cases in a scenario ✓
- unknown⇔a quantity that has a set value, represented by a letter ✓
- variable⇔a quantity that has a range of values. ✓
- True or false: It is always possible to work out the value of a variable.
- True - with enough information you can use a bar model to find the value.
- False - variables do not have set values, they vary depending on the situation ✓
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- Which equation is represented by the bar model below?
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- ✓
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- Select the statement that can be represented by the equation
- I am thinking of a number, I add 4 and 2 then subtract from my number to get 19
- I am thinking of a number, I subtract it from 19 and the answer is
- I am thinking of a number, I subtract 4 then add 2 and my answer is 19 ✓
- I am thinking of a number, I subtract 4 and 2 to get 19
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- A taxi journey costs £3 plus £2 per mile travelled. Which equation represents this?
- ✓
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- A taxi journey costs £3 plus £2 per mile. What is the maximum number of miles you could travel if you had £15 to spend? ______
- '6' ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- A letter can be used to represent an unknown number in context.
- A letter can be used to represent a variable number in context.
- A letter can be used in an expression to represent a number in an expression.
- A bar model can be used to represent an expression.
Common misconception
Pupils often think a=1 b=2 ... or that a letter represents an object
Letters represent a numerical value either unknown or variable. Avoid always using the first letter of the words used in a scenario.
Keywords
Unknown - An unknown is a quantity that has a set value but it is represented by a symbol or letter.
Variable - A variable is a quantity that can take on a range of values.
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