Starter quiz
- 63 + 37 = 100 being rearranged to 37 + 63 = 100 is an example of __________.
- categorisation
- commutativity ✓
- congruency
- coordination
- cumulation
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- When rearranging equations, you must perform the same operation to both sides in order to maintain __________.
- equation
- equality ✓
- equalness
- equilateral
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- In the equation 172 + 398 = 570, the term 570 can be described as the __________ of 172 and 398.
- factor
- multiple
- product
- sum ✓
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- Given that 1734 + 2117 = 3851, which of these calculations are correct?
- 2117 + 1734 = 3851 ✓
- 1734 + 3851 = 2117
- 3851 + 2117 = 1734
- 3851 − 2117 = 1734 ✓
- 2117 = 1734 − 3851
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- Match each operation to its inverse operation.
- Addition⇔Subtraction ✓
- Subtraction⇔Addition ✓
- Multiplication⇔Division ✓
- Squaring⇔Square rooting ✓
- Which of these equations can be represented by this bar model?
- ✓
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- ✓
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Exit quiz
- being rearranged to is an example of __________.
- constants
- communication
- commutativity ✓
- cumulativity
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- Which of these equations are valid rearrangements of the generalisation ?
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- ✓
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- ✓
- ✓
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- Which of these equations are valid rearrangements of the equation ?
- ✓
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- ✓
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- Which of these equations are represented in this bar model?
- ✓
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- ✓
- ✓
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- Which of the below are correct rearrangements of the equation 71 + 13 + 15 = 99 ?
- 71 = 99 − 15 − 13 ✓
- 71 = 99 − (15 − 13)
- 71 = 99 − (15 + 13) ✓
- 71 = 99 − 15 + 13
- 71 = 99 + 15 − 13
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- Which of the below are correct rearrangements of the equation ?
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- ✓
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- ✓
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Worksheet
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Presentation
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Lesson Details
Key learning points
- When adding or subtracting, terms may only be combined if the order of each variable in each term is the same.
- The sum of the terms can be thought of as a term, despite being comprised of multiple terms.
- a + b = c also means that a = c − b
- a = c − b can also be written as a = c + (−b)
Common misconception
Rearranging equations means you can just swap where terms are.
Remind pupils that subtraction and division are not commutative so swapping the order will matter.
Keywords
Equation - An equation is used to show two expressions that are equal to each other.
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