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      Represent addition and subtraction of tens and ones with equations

      Lesson details

      Learning outcome

      I can represent the combining and partitioning of tens and ones with addition and subtraction equations.

      Key learning points

      1. When tens and ones are combined to make a two-digit number, this can be represented it as an addition equation.
      2. When a two-digit number is partitioned into tens and ones, this can be represented as a subtraction equation.

      Keywords

      • Partition - To split a whole up into parts.

      • Combine - To put parts together to make a whole.

      • Part - A piece or section of a whole.

      • Whole - All of something; complete.

      Common misconception

      Children may fail to appreciate the importance of the equals sign in an equation, e.g. making errors such as 16 = 4 + 20, or confuse the value of the digits, making errors such as 43 = 4 + 30

      Use the language of parts and whole to activate/link to prior learning. Encourage drawing of own part-part-whole models. Encourage children to spot errors and explain why they are are incorrect and to articulate their thinking around correct answers.

      Teacher tip

      As previously, if children are making place value errors, return to practical equipment and the use of a number line. When representing numbers without practical equipment, ask children to prove with equipment or explain to a friend.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      Match each number to the number that has an equal value.

      Correct Answer:4 tens 9,49

      49

      Correct Answer:7 tens 6,76

      76

      Correct Answer:58,5 tens 8

      5 tens 8

      Correct Answer:85,8 tens 5

      8 tens 5

      Q2.
      Which bar model shows 47 partitioned correctly?

      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz
      An image in a quiz

      Q3.
      Lucas has some 10 p and some 1 p coins in his pocket. Altogether, he has 52 p in his pocket. How many of each coin does he have?

      Two 10 p coins and five 1p coins.
      Five 10 p coins and five 1 p coins.
      Correct answer: Two 1 p coins and five 10 p coins.

      Q4.
      What is the missing part in the part-part-whole model?

      An image in a quiz
      4 tens
      7 ones
      4 tens
      Correct answer: 7 tens

      Q5.
      69 has been partitioned into tens and ones. What is the missing number? 69 can be partitioned into ___ and 9

      Correct Answer: 60, 6 tens

      Q6.
      Izzy wants to buy the ball. She already has two 1 p coins. Which of the following shows how much more money she will need to buy the ball?

      An image in a quiz
      99 p
      Correct answer: 90 p
      9 p
      19 p

      6 Questions

      Q1.
      Which of the following equations are represented in this part-part-whole model?

      An image in a quiz
      35 = 30 + 5
      Correct answer: 53 = 50 + 3
      Correct answer: 53 = 3 + 50
      50 = 53 + 3

      Q2.
      Which part-part-whole model represents 50 + 6 = ?

      An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz

      Q3.
      What is the missing number in the sentence? There are ___ tens, which is 30, and 9 ones, which is 9 There is 39 altogether.

      An image in a quiz
      Correct Answer: 3

      Q4.
      Which of the following completes the equation correctly.

      An image in a quiz
      46
      Correct answer: 40
      30

      Q5.
      Match the equation to the correct missing number.

      Correct Answer:63 − ___ = 60,3

      3

      Correct Answer: ___ − 5 = 30,35

      35

      Correct Answer:3 = ___ − 50 ,53

      53

      Q6.
      Use > , < or = to complete the equation.

      An image in a quiz
      Correct answer: >
      <
      =

      To help you plan your 2 maths lesson on: Represent addition and subtraction of tens and ones with equations, download all teaching resources for free and adapt to suit your pupils' needs...