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4.07 Story problems with mixed operations

Lesson

Are you ready?

Let's try this problem to practice reading a story problem and then writing the number sentence that we would use to solve it. 

Dylan has $120$120 chocolates to give out to $10$10 guests at his birthday party and wants to make sure each guest gets the same amount.

  1. Write a number sentence for this story problem to find how much each guest would get.

Learn

We can use numbers, pictures and symbols to solve number problems. Let's see how we can solve multiplication and division in this video.

Apply

question 1

Sally and her mum were at home. Her grandma came around to visit, then her dad and brother came home together.

  1. Which number sentence matches the number of people in the house?

    $2-1+2$21+2

    A

    $2+1-2$2+12

    B

    $2+1+2$2+1+2

    C

    $1+1+2$1+1+2

    D

    $2-1+2$21+2

    A

    $2+1-2$2+12

    B

    $2+1+2$2+1+2

    C

    $1+1+2$1+1+2

    D
  2. How many people are in the house altogether?

Learn

Sometimes we need more than one step to solve a number problem, so it helps to look at how to work through each step.

Apply

question 2

Charlie has $50$50cm of ribbon, which he cuts into $10$10 equal pieces.

He then selects one of these pieces, and cuts $2$2cm off it.

  1. How long is this piece of ribbon now?

Remember!
  • Mathematical problems can be represented with words, pictures and symbols.
  • If our problem has equal groups and we need to find a total, we use multiplication.
  • If we have to share our total into equal groups, we use division.

 

Outcomes

VCMNA153

Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems

VCMNA155

Recall multiplication facts up to 10 × 10 and related division facts

VCMNA156

Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder

VCMNA162

Solve word problems by using number sentences involving multiplication or division where there is no remainder

VCMNA163

Use equivalent number sentences involving addition and subtraction to find unknown quantities

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