Quarter 3 Catch Up Pre-Algebra

Quarter 3 Catch Up

Skills We Will RE-Learn

-Inverse Operations
-Solving for the Missing Variable
-Proportional Relationships
-Percentages

used to "undo" a math problem

​

Inverse Operations

Match

Match the following math operation to its' inverse operation

• Sum

  +

• Difference

  -

• Product

  x

• Quotient

  ÷

Subtract

-

Add

+

Divide

÷

Multiply

x

• Subtract

  -

• Add

  +

• Divide

  ÷

• Multiply

  x

Fractions, Decimals, and Percentages

Live Classroom ​Lesson 1.5

Fractions to Decimals

​Divide the numerator by the denominator

​You may need to round if the decimal

does not terminate or end.

Remember 4 or below leave it alone

5 or higher round up​

Multiple Choice

What is the inverse operation of Addition?

• Addition

• Subtraction

• Multiplication

• Division

Match

Match the following percent to its fraction

• 25%

• 50%

• 10%

1/4

1/2

1/10

• 1/4

• 1/2

• 1/10

There are easy shortcuts you can use to find each of these percents:

​Divide by 2

Divide by 4

​Divide by 10

25%

10%

50%

Multiple Choice

What is the equivalent of 3/8 writen as a decimal?

• 0.38

• 0.375

• 3.8

• 0.3

Finding Friendly Percents

• 10% is the same as 1/10. Shortcut: Divide by 10

• 25% is the same as 1/4. Shortcut: Divide by 4

• 50% is the same as 1/2. Shortcut: Divide by 2

Multiple Choice

What is the inverse operation of Multiplication?

• Addition

• Subtraction

• Multiplication

• Division

Match

Match the percent problem to the correct math work

• Find 50% of 18

• Find 25% of 18

• Find 10% of 18

• $$18\div2$$

• $$18\div4$$

• $$18\div10$$

Multiple Choice

Express 17/25 as a decimal

• 0.68

• 0.675

• 0.7

• 17.25

Match

Match the percent problem with the correct math work

• Find 25% of 16

• Find 50% of 30

• Find 10% of 80

• Find 50% of 12

• Find 25% of 36

Find

Find

Find

Find

Find

• Find $$16\div4$$

• Find $$30\div2$$

• Find $$80\div10$$

• Find $$12\div2$$

• Find $$36\div4$$

Multiple Choice

What is the inverse operation of Division?

• Addition

• Subtraction

• Multiplication

• Division

Match

Match the problem with its solution

• 50% of 20

• 50% of 16

• 50% of 6

• 50% of 60

10

8

3

30

• 10

• 8

• 3

• 30

Decimals to Percents

​Multiply by 100

Add the % sign​

​A percent can be a whole number or a decimal

Match

Match the problem with its solution

• 25% of 16

• 50% of 16

• 25% of 12

• 50% of 12

4

8

3

6

• 4

• 8

• 3

• 6

Multiple Choice

What is the inverse operation of Subtraction?

• Addition

• Subtraction

• Multiplication

• Division

Match

Match the problem with its solution

• 10% of 20

• 25% of 20

• 50% of 20

• 75% of 20

2

5

10

15

• 2

• 5

• 10

• 15

Multiple Choice

Convert the decimal 4.025 to a percent.

• 4.025%

• 40.25%

• 402.5%

• 0.04025%

Match

Match the following

• 10% of 40

• 50% of 40

• 25% of 40

• 75% of 40

4

20

10

30

• 4

• 20

• 10

• 30

Drag and Drop

Select the equations that can be solved with an inverse operation of addition (+)​ ​

Placeholder

​

Placeholder

Drag these tiles and drop them in the correct blank above

x + 10 = 15

x - 3 = 5

22 = x - 21

59 = y ÷ 2

Match

Match the following

• 10% of 80

• 25% of 24

• 50% of 10

• 25% of 40

• 50% of 14

8

6

5

10

7

• 8

• 6

• 5

• 10

• 7

Multiple Choice

Convert the decimal 0.875 to a percent

• 8.75%

• 87.5%

• 875%

• 0.00875%

Awesome Work!

Please go and complete the 4.8 Friendly Percents Quizzizz on Google Classroom, which is linked on the next slide.

7th Grade Math

Drag and Drop

Select the equations that can be solved with an inverse operation of division ( ÷ )​

Placeholder

​ ​ ​ ​ ​

Drag these tiles and drop them in the correct blank above

x + 10 = 15

59 = y ÷ 2

3x = 5

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Percent to Decimal

​Remove the % sign

Divide by 100​

Be careful moving your decimal

Drag and Drop

Select the equations that can be solved with an inverse operation of subtraction (-)​

Placeholder

​

Placeholder

Drag these tiles and drop them in the correct blank above

7 = x + 2

4x = 20

23 = x -7

x + 4 = 42

Multiple Choice

Convert 18.75% to a decimal

• 1875

• 0.01875

• 1.875

• 0.1875

Drag and Drop

Select the equations that can be solved with an inverse operation of multiplication (x)​

Placeholder

​

Placeholder

Drag these tiles and drop them in the correct blank above

7 = x ÷ 2

4x = 20

21 = x - 7

x ÷ 4 = 42

Multiple Choice

Convert 3.5% to a decimal

• 0.035

• 0.0035

• 350

• 35

Find x by doing the inverse operation.

​

Solve for x

​Percent to a Fraction

​Remove the % sign

Place over 100

Simplify​

Start small when simplifying if necessary

Fill in the Blank

x - 20 = 10

X = ___

Multiple Choice

Express 32% as a fraction in simplest form

• 32/100

• 8/25

• 16/50

• 100/32

Fill in the Blank

x + 2 = 10

X = ___

Multiple Choice

Express 5% as a fraction in simplest form

• 5/10

• 1/2

• 5/100

• 1/20

Fill in the Blank

3x = 15

X = ___

Ordering Rational Numbers

​Convert all numbers to

the same form

Order from least to greatest​

Decimal form is usually the easiest to compare​

Fill in the Blank

x / 25 = 2

X = ___

Draw

Order from least to greatest

0.4 , 2/11 , 17% , 0.25

Converting Decimals to Percentages

When converting decimals to percents, move the decimal point two places to the right.

For example: .15 = 15%

Multiple Choice

Change to a percent:
0.36

• 36%

• 360%

• 3.6%

• .36%

Percent of Change

Multiple Choice

Change to a decimal: 5%

• 0.005

• .5

• 0.05

• 5

Multiple Choice

1. Find the PERCENT of change.

20 dogs to 5 dogs

• Decrease 15%

• Increase 15%

• Increase 75%

• Decrease 75%

Drag and Drop

What is the percent equation?

​

Placeholder

= ​

Placeholder

x ​

Placeholder

Drag these tiles and drop them in the correct blank above

part

percent (%)

whole

Finding Percentages

When trying to find a stated percent of a whole, simply turn your percent into a decimal by moving your decimal two places to the left and multiply.

For example: 50% of 30

50% should become .50

.50 times 30 = 15

Multiple Choice

2. Find the PERCENT of Change.

The original cost was $50 and the new cost is $60.

• Increase 20%

• Increase 16.67%

• Increase $10

• Decrease $10

Drag and Drop

I can use the percent equation.

Write an equation for the problem: What number is 8% of 50?

​ ​

Placeholder

= ​

Placeholder

x ​

Placeholder

Drag these tiles and drop them in the correct blank above

X

0.08

50

Draw

Label the parts of the percent proportion.

Multiple Choice

3. Find the percent of change if Eddie started with 20 tickets and ended with 30 tickets.

• Increase 10 tickets

• Increase 50%

• Increase 33%

• Decrease 50%

Explanation Slide...

The percent proportion is set up like a proportion. You can input any of these parts then use cross multiplication to solve.

Finding Percentages

Multiple Choice

4. Last week, you finished level 2 of a video game in 32 minutes. Today, you finished level 2 in 28 minutes. What is your percent of change?

• Increase 12.5%

• Decrease 12.5%

• Increase 4%

• Decrease 4%

Multiple Choice

Find  $$25\%$$  of  $$16$$  

• $$1.6$$  

• $$8$$  

• $$4$$  

• $$\frac{16}{25}$$  

Multiple Choice

45 is what percent of 60?

• 75%

• 70%

• 25%

• 60%

Multiple Choice

5. Ann works in a supermarket for $10.00 per hour. She received a raise to $12.00. What is the percent of change in her hourly wage?

• Increase 16.67%

• Decrease 16.67%

• Increase 20%

• Decrease 20%

Multiple Choice

What is 60% of 40?

• 2400

• 66.7

• 16

• 24

Math Response

I can use the percent equation or proportion.

Solve: $$6\ is\ 15\%\ of\ what\ number?\$$

Type answer here

Correct Answer: 40

Deg^°

Rad

Multiple Choice

6. One week, 72 people got a speeding ticket. The next week, only 36 people got a speeding ticket. What is the percent of change in the speeding tickets?

• Increase 50%

• Decrease 50%

• Increase 1%

• Decrease 1%

Fill in the Blank

I can use the percent equation or proportion.

Solve: $$What\ percent\ is\ 22\ of\ 11?\$$

Fill in the Blank

I can find the percent of a number.

What is 1.2% of 64? Round your answer to the nearest tenth!

Multiple Choice

7. Mary lost 30 pounds. Before her diet she weighed 180 pounds. What is the percent of change?

• 17% Decrease

• 19% Decrease

• 25% Decrease

• 20% Decrease

Fill in the Blank

I can find the percent of a number.

Jerilyn made 40 treats for her birthday. She gave 4 away to her family before taking the rest to school. What percent did she give away to her family?

Explanation Slide...

Part = Percent x Whole4 = ? x 40Divide 4/40 = 0.1 = 10%

Multiple Choice

8. Mrs. Boyd has 35 students in her science class.If her class increases to 42 students next year, what will be the percent of change?

• 20% decrease

• 75% increase

• 93% increase

• 33% decrease

Multiple Choice

A $10 shirt is on sale for 25% off the price. What is the sale price of the shirt?

• $7.50

• $2.50

• $12.50

• $17.50

Fill in the Blank

I can use the percent equation or proportion.

What is 20% of 70?

Multiple Choice

9. Last year, 2,376 people attended a summer music festival. This year, attendance was 2,950. What was the percent of change in attendance to the nearest whole percent?

• Increase 24%

• Increase 19%

• Decrease 24%

• Decrease 19%

Poll

Think about what we have learned over the last week. Give me your fist to 5 on your understanding of this week's topics. This will help me to know if this group is ready to move on or needs more time.

• 0/1

  I don't understand it and

  I need help.

• 2

  I need more practice and examples.

• 3

  I understand it pretty well.

• 4

  I mostly understand

  (can show it).

• 5

  I completely understand

  (can teach it).