NEW#7 M1L7 lvl 5 Order of Operations

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

24

100

15

36

64

72

50

12

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

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Who's right?

(6 + 4) × 3² – 8 ÷ 2 = 41

(6 + 4) × 3² – 8 ÷ 2 = 86

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

Today, we are going to:

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Oops!

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

Order of action

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(from left to right)

(from left to right)

22

Order of Operations

6 + (3 + 5) × 22

+ -

× ÷

Addition and Subtraction

Multiplication and Division

Exponents

Parentheses

Let's refresh our knowledge

Let's refresh our knowledge

4 1 5 2 3

1 3 2 5 4

(from left to right)

(from left to right)

15 – (7 × 2) + 4³ ÷ 8

Put the order of operations

(6 + 4) × 3² – 8 ÷ 2

+ -

× ÷

Addition and Subtraction

Multiplication and Division

Exponents

Parentheses

Let's refresh our knowledge

Let's refresh our knowledge

= 106

106

108

12

108

12

12 × 9 =

3² =

4 ÷ 2 =

108 - 2 =

(7 + 5) =

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

Practicing the order of operations

(7 + 5) × 3² – 4 ÷ 2

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18

14

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

Practicing the order of operations

8 + 2 × (6 – 3)² ÷ 3 =

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20

25

16

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

Practicing the order of operations

(10 ÷ 2) + 5 × 4 – 3² =

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49

245

245

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

Practicing the order of operations

5 × (4 + 6 ÷ 2)² =

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

Practicing the order of operations

90 - ((45 × 42) ÷ 80)2 =

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130

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?

Practicing the order of operations

(50 + 25 – 10) × 2 =

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Let's refresh our knowledge

50 + (20 × 4) – 10

120

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?

Practicing the order of operations

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Let's refresh our knowledge

260

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?

Practicing the order of operations

(30 + 20) × 5 + 10

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Let's refresh our knowledge

555

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?

Practicing the order of operations

20 × 33 + 15

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Let's refresh our knowledge

03:00

Will you eat?

Will you have a chocolate?

Will you rest?

Talk to the teacher?

Will you exercise?

What will you do?

Let's take a break

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

Question 1/11

(8 + 3) × 2² - 9 ÷ 3

Practicing the order of operations

Let's refresh our knowledge

Let's refresh our knowledge

00:30

Question 2/11

6 × (5 + 7)² ÷ 4 - 10

Practicing the order of operations

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Let's refresh our knowledge

Question 3/11

(12 ÷ 3) + 7 × 2² - 6

Practicing the order of operations

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Let's refresh our knowledge

9 + 4 × (7 - 3)² ÷ 2 = ?

Question 4/11

Practicing the order of operations

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Let's refresh our knowledge

(15 ÷ 5) × 3² + 2 - 8 = ?

Question 5/11

Practicing the order of operations

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Let's refresh our knowledge

7 × (6 + 8 ÷ 2)² - 5 = ?

Question 6/11

Practicing the order of operations

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Let's refresh our knowledge

Question 7/11

Let's solve the problem

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Let's refresh our knowledge

Question 8/11

Let's solve the problem

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Let's refresh our knowledge

Question 9/11

Let's solve the problem

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Let's refresh our knowledge

Question 10/11

Let's solve the problem

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Let's refresh our knowledge

Question 11/11

Let's solve the problem

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Let's refresh our knowledge

Bonus ⭐️

Practicing the order of operations

Let's do the math again, shall we?

+ × = ?

- = 8

+ + = 24

+ = 20

Practicing the order of operations

Check

Let's refresh our knowledge

Let's refresh our knowledge

Figures can appear only once in a row and a column

Bonus ⭐️

It's time to work together!

8 × 10 = 80

8 × 9 = 72

8 × 8 = 64

8 × 7 = 56

8 × 6 = 48

8 × 5 = 40

8 × 4 = 32

8 × 3 = 24

8 ×2 = 16

8 × 1 = 8

Let's remember the multiplication table for 8

8 × 10 = 80

You're brilliant!

496 = 480 + 16

62

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

The Distributive Property of Division

Calculate the sum60 + 2 =

Break 496 into parts that divide by 8

496÷ 8

Let's refresh our knowledge

7 × 10 = 70

Let's remember the multiplication table for 7

7 × 9 = 63

7 × 8 = 56

7 × 7 = 49

7 × 6 = 42

7 × 5 = 35

7× 4 = 28

7 × 3 = 21

8 × 10 = 80

7 ×2 = 14

7 × 1 = 7

You're brilliant!

581 = 560 + 21

83

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

The Distributive Property of Division

Calculate the sum80 + 3 =

Break 581 into parts that divide by 7

581÷ 7

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73

70 + 3 =

(630 ÷ 9) + (27 ÷ 9) =

657 ÷ 9 =

92

90 + 2 =

(540 ÷ 6) + (12 ÷ 6) =

552 ÷ 6 =

Let’s practice together

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The Distributive Property of Division

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TODAY WE:

DONE

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

DONE

DONE

mastered the correct sequence of steps

practiced solving problems with multiple operations

I'm sure you can help me!

(5 + 3) × 2² - 4 ÷ 2 = 14

Let's find the mistake!

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

NEXT LESSON WE WILL:

(from left to right)

(from left to right)

6 + (3 + 5) × 22

+ -

× ÷

Addition and Subtraction

Multiplication and Division

Exponents

Parentheses

(from left to right)

(from left to right)

6 + (3 + 5) × 22

+ -

× ÷

Addition and Subtraction

Multiplication and Division

Exponents

Parentheses

(from left to right)

(from left to right)

6 + (3 + 5) × 22

+ -

× ÷

Addition and Subtraction

Multiplication and Division

Exponents

Parentheses

(from left to right)

(from left to right)

6 + (3 + 5) × 22

+ -

× ÷

Addition and Subtraction

Multiplication and Division

Exponents

Parentheses