Starter quiz
- Which equations are represented by this bar model?
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- Which equations are represented by this bar model?
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- Match each value with its additive inverse.
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- Which of these are zero pairs?
- 5 and (−5) ✓
- (−3) and (−3)
- 1 and (−0.1)
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- What is the value of the expression when ?
- '−8' ✓
- The diagram shows a balanced scale on the left. When an operation is performed to the RHS, it is not balanced. What operation must be performed to the LHS to maintain equality?
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Exit quiz
- What is the value of the unknown in this bar model? ______
- '10' ✓
- Which best describes the mistake that has been made when solving the equation below?
- 15 add (−8) does not equal 7
- The same operation has not been applied to both sides of the equation.
- The correct additive inverse has not been added. ✓
- The (−8) has not been added to the term and the constant term on the LHS.
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- The solution to the equation is when = ______
- '20' ✓
- Which of these shows the correct working to solve the equation in one additive step?
- The solution to the equation is when = ______
- '7.4' ✓
- Which of these is the solution to the equation ?
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Worksheet
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Presentation
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Lesson Details
Key learning points
- An equation involving an additive step can be represented with a bar model.
- Using the bar model you can write all the arrangements of the equation with an additive step.
- One of the arrangements will give the solution to the equation.
- This can be written algebraically to find the solution.
Common misconception
When solving x - 5 = 10 pupils may see the -5 and calculate 10 - 5 = 5
Focus on understanding zero pairs and why adding the additive inverse gives the solution. Bar models are a helpful representation here.
Keywords
Additive inverse - The additive inverse of a number is a number that, when added to the original number, gives the sum of 0
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