Starter quiz
- Round 8,907 to the nearest multiple of 10
- '8,910' ✓
- Which of the following expressions has the same difference as 150 − 30? Can you reason without calculating?
- 170 − 50 ✓
- 130 − 10 ✓
- 160 − 20
- 150 − 40
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- Use an efficient strategy to calculate 27,648 + 32,963 = ______
- '60,611' ✓
- Use an efficient strategy to calculate 10 − 7.452 = ______
- '2.548' ✓
- What is 8.96 when rounded to the nearest whole number?
- '9' ✓
- Use an efficient strategy to calculate the unknown value g in g − 1,508 = 4,650 − 1,600
- '4,558' ✓
Exit quiz
- Match each addition expression to an equal subtraction expression.
- 140 + 120⇔390 − 130 ✓
- 150 + 120⇔400 − 130 ✓
- 160 + 120⇔410 − 130 ✓
- 170 + 120⇔420 − 130 ✓
- Which of these equations are balanced?
- 32,000 + 5,000 = 58,000 − 21,000 ✓
- 32,000 + 6,000 = 58,000 − 21,000
- 33,000 + 7,000 = 59,000 − 21,000
- 33,000 + 6,000 = 59,000 − 20,000 ✓
- 33,000 + 5,000 = 59,000 − 18,000 ✓
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- What is the missing addend needed to balance this equation? 48,000 + ______ = 71,000 − 15,000
- '12,000' ✓
- What is the missing subtrahend to balance this equation? 52,000 + 9,000 = 79,000 − ______
- '18,000' ✓
- This equation is unbalanced. 65,000 − 8,000 = 18,000 + 38,000 How can you change 18,000 in the addition expression to balance the equation?
- Increase 18,000 by 1,000 ✓
- Decrease 18,000 by 1,000
- Increase 18,000 by 10,000
- Decrease 18,000 by 10,000
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- This equation is unbalanced. 55,500 − 8,000 = 22,250 + 26,250 What should the subtrahend be to balance this equation?
- '7,000' ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- If one addend is increased and the other is decreased by the same amount, the sum stays the same.
- If the minuend and subtrahend are changed by the same amount, the difference stays the same.
Common misconception
Thinking that you can change the values of subtraction and addition expressions by making the same changes.
Go back and explore what happens when you change different elements of addition and subtraction equations. Use stem sentences from earlier learning to highlight what happens to the sum and difference when values are changed in equations.
Keywords
Equation - An equation is used to show that one number, calculation or express is equal to another.
Expression - An expression contains one or more terms or numbers, where each term or number is separated by and operator but an expression does not have an equals sign.
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