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Year 7

Checking understanding of arithmetic procedures with integers and decimals

I can add, subtract, multiply and divide with integers and decimals.

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New
New
Year 7

Checking understanding of arithmetic procedures with integers and decimals

I can add, subtract, multiply and divide with integers and decimals.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. The decimal point determines the place value of each digit.
  2. The decimal point can help ensure that digits with the same place value are combined.
  3. Multiplication can be made easier by considering factors.
  4. Division can be made easier by considering equivalent calculations.

Common misconception

Students often omit any place holders when subtracting decimals.

Encourage all place holders to be used in all written calculations so they are not omitted when they need to be there.

Keywords

  • Integer - An integer is any positive or negative whole number or zero. E.g. (−2), 0, 153 are all examples of integers.

  • Decimal form - A number is in decimal form when the decimal point is shown and there are digits to the right of the decimal point.

  • Digit - A digit is one of the symbols of a number system. In our number system we use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

In the second learning cycle when talking about times. You could introduce a short task (e.g. complete a particular time table) that students time themselves doing. They can then in pairs find the total and difference between their times.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Starter quiz

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6 Questions

Q1.
Select all the integers.
3.2
Correct answer: 32
0.32
Correct answer: 320
Q2.
Match together the pairs of numbers that have a sum of 100.
Correct Answer:48,52

52

Correct Answer:64,36

36

Correct Answer:38,62

62

Correct Answer:83,17

17

Correct Answer:54,46

46

Correct Answer:73,27

27

Q3.
Work out: $$6\times7=$$
Correct Answer: 42, forty-two, forty two
Q4.
Work out: $$76 + 59 =$$
Correct Answer: 135
Q5.
Select all the correct calculations.
Correct answer: $$1.2 -0.3 = 0.9$$
$$0.25 + 0.35 = 0.7$$
Correct answer: $$0.6 + 0.7 = 1.3$$
$$1-0.35 = 0.75$$
Correct answer: $$0.32+0.68 =1$$
Q6.
Which of these is the same as multiplying by 5?
Correct answer: $$\div 2 \times 10$$
$$\div 10 \times 2$$
$$\times 2 \div10$$
Correct answer: $$\times 10 \div2 $$

Exit quiz

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6 Questions

Q1.
Complete the statement. In our number system we use the 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9
Correct Answer: digits, digit
Q2.
Work out: 459 + 954 =
Correct Answer: 1413
Q3.
What value does the hexagon represent?
An image in a quiz
0
Correct answer: 5
6
7
Q4.
Match each operation on the left to the equivalent operations on the right.
Correct Answer:$$\times6$$,$$\times2 \times3$$

$$\times2 \times3$$

Correct Answer:$$\div8$$,$$\div 2 \div 2\div 2$$

$$\div 2 \div 2\div 2$$

Correct Answer:$$\times9$$,$$\times3 \times3$$

$$\times3 \times3$$

Correct Answer:$$\div6$$,$$\div 2 \div 3$$

$$\div 2 \div 3$$

Correct Answer:$$\div4$$,$$\div 2 \div 2$$

$$\div 2 \div 2$$

Q5.
Sam buys 6 boxes of chocolates. Each box costs £5.75. What is the total cost of the chocolates?
£23
£28.75
£30.50
Correct answer: £34.50
£51.75
Q6.
Four Oak students buy a pizza together. The pizza costs £15.80. They share the cost equally. How much should each student pay? £
Correct Answer: 3.95, £3.95