Solving equations with fractions

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 2

Good morning!

Schedule: 

• Learning goals 
• Starter
• Equations with fractions
• Work
• Finish hacker mystery

Learning goals 

At the end of this lesson I can:

• Find the LCM of multiple numbers 
• Solve equations with fractions

Revision starter

Starter

Solve the following equations for x: 

1. 

2. 

Starter

Solve the following equations for x: 

1.                                                                          2.  

15⋅​3​​x​​−15⋅​5​​x​​=15⋅2

​3​​15x​​−​5​​15x​​=30

5x−3x=30

2x=30

x=15

​6​​6(4x+5)​​=​2​​6⋅7​​

4x+5=​2​​42​​

4x+5=21

4x=16

x=4

What to do

- I got the questions right!             Work on pink (challenge) or blue slide                                                                                     (Intermediate) in  LessonUp   

- I had 1-2 mistakes                            Do problems on the board

Equations with fractions

What is the inverse operation of a fraction? 

​5​​x​​=4

Equations with fractions

What is the inverse operation of a fraction? 

Multiplication!

You apply inverse operations on BOTH SIDES

So to get rid of a fraction: You multiply by the denominator 

​5​​x​​=4

Equations with fractions

If there are more inverse operations (2-step equation), 

Get rid of the fraction FIRST

​2​​(x+1)​​=7

Equations with fractions

What is the inverse operation of a fraction? 

Multiplication!

You apply inverse operations on BOTH SIDES 

​5​​x​​=4

Equations with fractions

If there are more inverse operations (2-step equation), 

Get rid of the fractions (do multiplication) FIRST

Equations with fractions

If there are more inverse operations (2-step equation), 

Get rid of the fractions (do multiplication) FIRST

Use the lowest common multiple

Equations with fractions

If there are more inverse operations (2-step equation), 

Get rid of the fractions (do multiplication) FIRST

Use the lowest common multiple

Equations with fractions

f

LCM of denominators = 

What to do

Open this LessonUp on your device. 

Work on the slides with the appropriate color: 

- I really want a challenge!                                                                         Slide 18

- I think a bit more practice will help me!                                            Slide 17

- I think more practice will help me! I would like some help.     Slide 16

Some more practice + Help

Find the Splodge extension sheet

ManageBac > Files > Unit 3 > equations with fractions beginner

Do problems: 1, 7, 8, 9, 11, 14

Some more practice

Find the Splodge extension sheet

ManageBac > Files > Unit 3 > equations with fractions intermediate

Do problems: 3, 5, 6, 9, 13, 14

Challenge

Find the Splodge extension sheet

ManageBac > Files > Unit 3 > equations with fractions challenging

Word problems Murder Mystery

Did you find the culprit?

Don't spoil it for the others!! secretly tell the teacher to check if you are correct

You can: 

- help the people in your group solving the questions

- continue with the circuit training worksheet from yesterday 

- Work on Files > Unit 3 > Challenging Multistep equations 2

Partner practice

- You both work on you questions individually

- You check the answers together (if you have the same answers with the same number questions, it should be correct)

- If the answers are NOT the same, analyze for errors