lesson 2.1.9 introduction to fraction...

Lesson 2.1.9 – Introduction to Fraction Busting

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Teacher Lesson Plan Lesson: 2.1.9 – Alternate Introduction to Fraction Busting CC Standards 8.EE.7b Solve liner equations in one variable. b) Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

Objective Students will learn how to solve equations with fractions and decimals. Mathematical Practices #1 Make sense of problems and persevere in solving them. #5 Use appropriate tools strategically. #6 Attend to precision. #7 Look for and make use of structure. Teacher Input Bellwork: Review bellwork. Homework: Review important problems assigned the previous night. Introduction: Introduce as directed on the PowerPoint. Lesson: Teach as directed in the PowerPoint. Be sure to look at the notes on each slide for additional

instruction and answers. Classwork Page 5 Homework Page 6 Extra Practice Page 7-9 Closure Close lesson by recapping the two new procedures they learned today. See the end of the PowerPoint.


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Step 1 Look at all of the denominators in the equation and find the LCD.

Step 2 Multiply both sides of the equation by the LCD.

Student Notes Section 1: Equations with Fractions

Fractions in an equation can get very messy… especially the ones you will see in Algebra 1 and Algebra 2. That’s why it is very important that you learn a process called “fraction busting”. You are going to need this skill for your upper level math classes. A lot of people like to call the process “clearing the fraction” instead if fraction busting.

In this process, the fractions are eliminated first so that you are left with a simpler equation to solve…. One that does not have any fractions!

Example

Guided Practice #1 You Try #1

____________________

The LCM is the smallest number that both 2 and 5 will divide into evenly. LCM of 2 and 5 is 10.

(


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Guided Practice #2 Your Try #2




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Section 2: Equations with Decimals

To clear an equation of the decimals:

Guided Practice #5 You Try #5 (either method)

Step 1

Look for the decimal with the most digits.

Step 2

Multiply both sides of the equation by that power of 10.

Most digits.


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Classwork Name______________________________ Date______________ Period______ Solve each equation by clearing he fractions.

1)

2)

3)

4)

5)

6)

Solve with any method. 7)


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Homework Name__________________________________ Date______________ Period_____ Solve each equation by clearing the fraction.

1)

2)

3)

4)

5)

6)

Solve each equation using any method.

7)


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Extra Practice Name__________________________________ Date______________ Period_____ Determine if each given number is a solution the equation. Show work. 1) Is 4 a solution of ? 2) Is 3 a solution of ?

3) Is -1 a solution of ? 4) Is -2 a solution of – ?

5) Is 1 a solution of – ? 6) Is 2 a solution of – ?

7) If 5 a solution of ? 8) Is 4 a solution of – ?

9) Is 0 a solution of ? 10) Is 0 a solution of – ?

11) Is -2 a solution of ? 12) Is -3 a solution of ?

13) Is 3 a solution of ? 14) Is

a solution of ?

15) Is

a solution of ? 16) Is

a solution of ?

17) Is

a solution of ? 18) Is

a solution of ?

19) Is

a solution of ? 20) Is 0.08 a solution of ?


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Extra Practice Name__________________________________ Date______________ Period_____

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)


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11) 12)

13)

14)

15)

16)

17) 18)

19) 20)

21) 22)


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Step 1 Look at all of the denominators in the equation and find the LCD.

Step 2 Multiply both sides of the equation by the LCD.

Student Notes Section 1: Equations with Fractions

Fractions in an equation can get very messy… especially the ones you will see in Algebra 1 and Algebra 2. That’s why it is very important that you learn a process called “fraction busting”. You are going to need this skill for your upper level math classes. A lot of people like to call the process “clearing the fraction” instead if fraction busting.

In this process, the fractions are eliminated first so that you are left with a simpler equation to solve…. One that does not have any fractions!

Example


____________________

The LCM is the smallest number that both 2 and 5 will divide into evenly. LCM of 2 and 5 is 10.

(


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Guided Practice #2 Your Try #2


3


1


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Section 2: Equations with Decimals

To clear an equation of the decimals:

Guided Practice #5 You Try #5 (either method)

Step 1

Look for the decimal with the most digits.

Step 2

Multiply both sides of the equation by that power of 10.

Most digits.


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Classwork Name______________________________ Date______________ Period______ Solve each equation by clearing he fractions.

1)

2)

3)

4)

5)

9 6)

8

Solve with any method. 7) 3.95


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Homework Name__________________________________ Date______________ Period_____ Solve each equation by clearing the fraction.

1)

2)

3)

-2 4)

5)

6)

6

Solve each equation using any method.

7) .2


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Extra Practice Name__________________________________ Date______________ Period_____ Determine if each given number is a solution the equation. Show work. 1) Is 4 a solution of ? Yes 2) Is 3 a solution of ? Yes

3) Is -1 a solution of ? No 4) Is -2 a solution of – ? No

5) Is 1 a solution of – ? No 6) Is 2 a solution of – ? No

7) If 5 a solution of ? Yes 8) Is 4 a solution of – ? Yes

9) Is 0 a solution of ? Yes 10) Is 0 a solution of – ? Yes

11) Is -2 a solution of ? Yes 12) Is -3 a solution of ? Yes

13) Is 3 a solution of ? Yes 14) Is

a solution of ? Yes

15) Is

a solution of ? Yes 16) Is

a solution of ? No

17) Is

a solution of ? No 18) Is

a solution of ? No

19) Is

a solution of ? Yes 20) Is 0.08 a solution of ? Yes


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Extra Practice Name__________________________________ Date______________ Period_____

1) 3 2)

3) 3 4)

5)

6)

7)

8)

9) -2 10)


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11) 2 12)

1

13)

14)

15)

-15 16)

3

17) 2 18)

19) 6 20)

21) 1 22)

lesson 2.1.9 introduction to fraction...

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