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.

Let's play!

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

100

00:00

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

(6 + 4) × 3² – 8 ÷ 2 = 86

(6 + 4) × 3² – 8 ÷ 2 = 41

Who's right?

Let's refresh our knowledge

Order of action

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

Oops!

Let's refresh our knowledge

Parentheses

Exponents

Multiplication and Division

Addition and Subtraction

× ÷

+ -

6 + (3 + 5) × 22

Order of Operations

(

)

(from left to right)

Let's refresh our knowledge

Parentheses

Exponents

Multiplication and Division

Addition and Subtraction

× ÷

+ -

(6 + 4) × 3² – 8 ÷ 2

Put the order of operations

15 – (7 × 2) + 4³ ÷ 8

(from left to right)

1 3 2 5 4

4 1 5 2 3

Let's refresh our knowledge

(7 + 5) × 3² – 4 ÷ 2

Practicing the order of operations

1. Parentheses2. Exponents 3. Multiplication and Division4. Addition and Subtraction

(7 + 5) =

108 - 2 =

4 ÷ 2 =

3² =

12 × 9 =

108

106

= 106

Let's refresh our knowledge

8 + 2 × (6 – 3)² ÷ 3 =

Practicing the order of operations

1. Parentheses2. Exponents 3. Multiplication and Division4. Addition and Subtraction

Let's refresh our knowledge

(10 ÷ 2) + 5 × 4 – 3² =

Practicing the order of operations

1. Parentheses2. Exponents 3. Multiplication and Division4. Addition and Subtraction

Let's refresh our knowledge

5 × (4 + 6 ÷ 2)² =

Practicing the order of operations

1. Parentheses2. Exponents 3. Multiplication and Division4. Addition and Subtraction

245

Let's refresh our knowledge

90 - ((45 × 42) ÷ 80)2 =

Practicing the order of operations

1. Parentheses2. Exponents 3. Multiplication and Division4. Addition and Subtraction

Let's refresh our knowledge

(50 + 25 – 10) × 2 =

Practicing the order of operations

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?

130

Let's refresh our knowledge

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?

120

50 + (20 × 4) – 10

Let's refresh our knowledge

(30 + 20) × 5 + 10

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?

260

Let's refresh our knowledge

20 × 33 + 15

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?

555

Let's take a break

What will you do?

Will you exercise?

Talk to the teacher?

Will you rest?

Will you have a chocolate?

Will you eat?

03:00

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

00:30

Let's refresh our knowledge

Practicing the order of operations

(8 + 3) × 2² - 9 ÷ 3

Question 1/11

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Practicing the order of operations

6 × (5 + 7)² ÷ 4 - 10

Question 2/11

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Practicing the order of operations

(12 ÷ 3) + 7 × 2² - 6

Question 3/11

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Practicing the order of operations

Question 4/11

9 + 4 × (7 - 3)² ÷ 2 = ?

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Practicing the order of operations

Question 5/11

(15 ÷ 5) × 3² + 2 - 8 = ?

Let's refresh our knowledge

Practicing the order of operations

Question 6/11

7 × (6 + 8 ÷ 2)² - 5 = ?

Let's refresh our knowledge

Let's solve the problem

Question 7/11

Let's refresh our knowledge

Let's solve the problem

Question 8/11

Let's refresh our knowledge

Let's solve the problem

Question 9/11

Let's refresh our knowledge

Let's solve the problem

Question 10/11

Let's refresh our knowledge

Let's solve the problem

Question 11/11

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Check

Practicing the order of operations

+ = 20

+ + = 24

- = 8

+ × = ?

Let's do the math again, shall we?

Practicing the order of operations

Bonus ⭐️

Figures can appear only once in a row and a column

It's time to work together!

Let's refresh our knowledge

496÷ 8

Break 496 into parts that divide by 8

Calculate the sum60 + 2 =

The Distributive Property of Division

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

496 = 480 + 16

You're brilliant!

8 × 10 = 80

Let's remember the multiplication table for 8

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

Let's refresh our knowledge

581÷ 7

Break 581 into parts that divide by 7

Calculate the sum80 + 3 =

The Distributive Property of Division

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

581 = 560 + 21

You're brilliant!

7 × 1 = 7

7 ×2 = 14

8 × 10 = 80

7 × 3 = 21

7× 4 = 28

7 × 5 = 35

7 × 6 = 42

7 × 7 = 49

7 × 8 = 56

7 × 9 = 63

Let's remember the multiplication table for 7

7 × 10 = 70

Let's refresh our knowledge

The Distributive Property of Division

Let's refresh our knowledge

Let’s practice together

552 ÷ 6 =

(540 ÷ 6) + (12 ÷ 6) =

90 + 2 =

657 ÷ 9 =

(630 ÷ 9) + (27 ÷ 9) =

70 + 3 =

6 × 1 = 6 6 × 2 = 12 6 × 3 = 18 6 × 4 = 24 6 × 5 = 30 6 × 6 = 36 6 × 7 = 42 6 × 8 = 48 6 × 9 = 54 6 × 10 = 60

9 × 1 = 9 9 × 2 = 18 9 × 3 = 27 9 × 4 = 36 9 × 5 = 45 9 × 6 = 54 9 × 7 = 63 9 × 8 = 72 9 × 9 = 81 9 × 10 = 90

practiced solving problems with multiple operations

mastered the correct sequence of steps

DONE

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

DONE

TODAY WE:

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!

Parentheses

Exponents

Multiplication and Division

Addition and Subtraction

× ÷

+ -

6 + (3 + 5) × 22

(from left to right)

Parentheses

Exponents

Multiplication and Division

Addition and Subtraction

× ÷

+ -

6 + (3 + 5) × 22

(from left to right)

Parentheses

Exponents

Multiplication and Division

Addition and Subtraction

× ÷

+ -

6 + (3 + 5) × 22

(from left to right)

Parentheses

Exponents

Multiplication and Division

Addition and Subtraction

× ÷

+ -

6 + (3 + 5) × 22

(from left to right)

NEW#7 M1L7 lvl 5 Order of Operations

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Transcript