NEW#7 M1L7 lvl 5 Order of Operations

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Level 5

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Hi everyone! Today we are going to talk about something that is very useful both in math and in everyday life - the order of operations. It helps us to find the right way to solve a math problem when there are many things in it.

00:00

Let's play!

72

64

12

50

Pick a number and tell a fact about it in 30 seconds

15

100

36

24

Today, we are going to:

- explore the correct order of operations —Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction - practice all these skills on solving real word problems

Who's right?

(6 + 4) × 3² – 8 ÷ 2 = 86

(6 + 4) × 3² – 8 ÷ 2 = 41

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Order of action

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Oops!

Look what will happen if we will not follow the order?t

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Let's refresh our knowledge

Order of Operations

6 + (3 + 5) × 22

22

Parentheses

Exponents

Multiplication and Division

(from left to right)

Addition and Subtraction

× ÷

+ -

(from left to right)

Let's refresh our knowledge

Let's refresh our knowledge

Put the order of operations

Parentheses

1 3 2 5 4

(6 + 4) × 3² – 8 ÷ 2

Exponents

Multiplication and Division

4 1 5 2 3

15 – (7 × 2) + 4³ ÷ 8

× ÷

(from left to right)

+ -

Addition and Subtraction

(from left to right)

Let's refresh our knowledge

Practicing the order of operations

108

12

= 106

(7 + 5) × 3² – 4 ÷ 2

1. Parentheses 2. Exponents 3. Multiplication and Division 4. Addition and Subtraction

(7 + 5) =

4 ÷ 2 =

12

108 - 2 =

3² =

106

12 × 9 =

108

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Practicing the order of operations

1. Parentheses 2. Exponents 3. Multiplication and Division 4. Addition and Subtraction

14

8 + 2 × (6 – 3)² ÷ 3 =

18

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Practicing the order of operations

1. Parentheses 2. Exponents 3. Multiplication and Division 4. Addition and Subtraction

(10 ÷ 2) + 5 × 4 – 3² =

16

25

20

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Practicing the order of operations

1. Parentheses 2. Exponents 3. Multiplication and Division 4. Addition and Subtraction

245

5 × (4 + 6 ÷ 2)² =

245

49

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Practicing the order of operations

1. Parentheses 2. Exponents 3. Multiplication and Division 4. Addition and Subtraction

90 - ((45 × 42) ÷ 80)2 =

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Practicing the order of operations

130

(50 + 25 – 10) × 2 =

You’re playing a video game where you earn points based on different challenges. In one challenge, you earned 50 points for completing a level, then got 25 bonus points for finding a hidden item. However, you lost 10 points for a penalty and then doubled your remaining score in the final round. What is your total score?

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Practicing the order of operations

You’re saving up money to buy a concert ticket. You have $50 and plan to save $20 per week for 4 weeks. After spending $10 on bus fare, how much will you have left?

50 + (20 × 4) – 10

120

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Let's refresh our knowledge

Practicing the order of operations

You’re planning your workout routine for the week. Each day, you run for 30 minutes and do 20 minutes of strength training. You’re going to do this routine for 5 days. However, on one of those days, you add an extra 10 minutes of stretching. How much total time will you spend working out by the end of the week?

(30 + 20) × 5 + 10

260

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Let's refresh our knowledge

Practicing the order of operations

In the game, the number of crystals increases three times with each level. A character starts with 20 crystals, after 3 levels he gets 15 bonus crystals. How many total crystals will the character have?

20 × 33 + 15

555

03:00

Let's take a break

Will you eat?

Will you exercise?

What will you do?

Talk to the teacher?

Will you have a chocolate?

Will you rest?

It's your turn! Start working on your own! If you have any difficulties, be sure to ask your tutor for help!

Practicing the order of operations

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Let's refresh our knowledge

(8 + 3) × 2² - 9 ÷ 3

00:30

Question 1/11

Practicing the order of operations

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6 × (5 + 7)² ÷ 4 - 10

Question 2/11

Practicing the order of operations

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Let's refresh our knowledge

(12 ÷ 3) + 7 × 2² - 6

Question 3/11

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Practicing the order of operations

9 + 4 × (7 - 3)² ÷ 2 = ?

Question 4/11

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Practicing the order of operations

(15 ÷ 5) × 3² + 2 - 8 = ?

Question 5/11

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Practicing the order of operations

7 × (6 + 8 ÷ 2)² - 5 = ?

Question 6/11

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Let's solve the problem

Question 7/11

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Let's solve the problem

Question 8/11

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Let's solve the problem

Question 9/11

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Let's solve the problem

Question 10/11

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Let's solve the problem

Question 11/11

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Practicing the order of operations

Practicing the order of operations

+ + = 24

+ = 20

- = 8

Let's do the math again, shall we?

+ × = ?

Check

Bonus ⭐️

Figures can appear only once in a row and a column

Bonus ⭐️

It's time to work together!

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The Distributive Property of Division

8 × 1 = 8

8 ×2 = 16

8 × 3 = 24

8 × 4 = 32

8 × 5 = 40

8 × 6 = 48

8 × 7 = 56

8 × 8 = 64

8 × 9 = 72

8 × 10 = 80

496÷ 8

Break 496 into parts that divide by 8

496 = 480 + 16

8 × 10 = 80

Let's remember the multiplication table for 8

Divide each part by 8480 ÷ 8 = 60 16 ÷ 8 = 2

Calculate the sum60 + 2 =

62

You're brilliant!

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The Distributive Property of Division

7 × 1 = 7

7 ×2 = 14

7 × 3 = 21

7× 4 = 28

7 × 5 = 35

7 × 6 = 42

7 × 7 = 49

7 × 8 = 56

7 × 9 = 63

7 × 10 = 70

581÷ 7

Break 581 into parts that divide by 7

581 = 560 + 21

8 × 10 = 80

Let's remember the multiplication table for 7

Divide each part by 7560 ÷ 7 = 80 21 ÷ 7 = 3

Calculate the sum80 + 3 =

83

You're brilliant!

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The Distributive Property of Division

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Let’s practice together

(540 ÷ 6) + (12 ÷ 6) =

90 + 2 =

92

552 ÷ 6 =

(630 ÷ 9) + (27 ÷ 9) =

70 + 3 =

73

657 ÷ 9 =

TODAY WE:

mastered the correct sequence of steps

DONE

practiced solving problems with multiple operations

DONE

learned how to avoid errors when solving multi-step problems!

DONE

Let's find the mistake!

(5 + 3) × 2² - 4 ÷ 2 = 14

I'm sure you can help me!

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NEXT LESSON WE WILL:

we will try to repair the time travel machine with help of our math skills!

6 + (3 + 5) × 22

Parentheses

Exponents

Multiplication and Division

(from left to right)

× ÷

Addition and Subtraction

+ -

(from left to right)

6 + (3 + 5) × 22

Parentheses

Exponents

Multiplication and Division

(from left to right)

× ÷

Addition and Subtraction

+ -

(from left to right)

6 + (3 + 5) × 22

Parentheses

Exponents

Multiplication and Division

(from left to right)

× ÷

Addition and Subtraction

+ -

(from left to right)

6 + (3 + 5) × 22

Parentheses

Exponents

Multiplication and Division

(from left to right)

× ÷

Addition and Subtraction

+ -

(from left to right)