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Thursday, November 4 Today’s Agenda 12 1 3 2 4 3 12 5 1 3 2 4 3 2 1 3 2 4 3 1. No homework due today 2. Fill in planner Today’s assignment is Practice 5-6 Chapter 5 test will be Monday 3. Bell Work 4. Note Taking: Working backwards to solve a problem 5. Review operations with fractions 6. Fraction Jeopardy 8 1 1 3 2 4 3

Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

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Page 1: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Thursday, November 4 Today’s Agenda

12

1

3

2

4

3

12

51

3

2

4

3

2

1

3

2

4

3

1. No homework due today

2. Fill in planner – Today’s assignment is

Practice 5-6

– Chapter 5 test will be Monday

3. Bell Work

4. Note Taking: Working backwards to solve a problem

5. Review operations with fractions

6. Fraction Jeopardy

8

11

3

2

4

3

Page 2: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Today’s ObjectiveSWBAT solve problems by working

backwards

Why? To solve real world

problems involving time and money

Page 3: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Why work backwards?

Working backwards from information you already know will sometimes help you solve a problem.

Page 4: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Problem 1

You are planning to go to a baseball game that starts at 1:00 pm. You want to arrive half an hour early. Your walk to the train station is about 10 minutes long. The train ride to the city takes ¾ of an hour. After you arrive in the city, you will need to walk for about 10 more minutes to get to the stadium. What time should you plan to leave?

Page 5: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Understand the problem

1. What do you want to find?

2. What is your arrival time?

3. How much time will you spend walking to the train?

4. How much time will you spend on the train?

5. How much time will you spend walking from the train?

What time you should leave home

12:30 pm

10 minutes

¾ hour

10 minutes

Page 6: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Let’s Work backwards

The game starts at 1:00

Subtract 30 minutes (because we want to arrive early)

Subtract 10 minutes we will spend walking to the stadium

Page 7: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Let’s Work Backwards

Subtract ¾ of an hour that we will spend on the train

Page 8: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Let’s Work Backwards

Subtract the 10 minutes we will spend walking to the train

Page 9: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Let’s Work Backwards

We should leave the house at 11:25

Page 10: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Your turn to try a couple… Make sure you…

– Show that you pulled the important information from the problem (3 pts)

– Show your working backwards steps (4 pts)– Circle your answer (2 pts)

Each problem is worth…9 pts!

Page 11: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Adding Fractions (Review)

7

5

3

12

Do I have to get rid of the mixed number first?

Page 12: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Adding Fractions (Review)

7

5

3

12

What is the LCD of my fractions?

Hmmm… let me start listing multiplies of 7…

7, 14, 21, 28, …

Page 13: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Adding Fractions (Review)

21

15

21

72

7

5

3

12

Okay, I changed my fractions so that I have a common

denominator, now what?!?

Page 14: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Adding Fractions (Review)

21

222

21

15

21

72

Okay, I add the numerators and keep the denominators the

same.

Now, I have, a mixed number with an improper fraction?!?

That can’t be right…

Page 15: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Adding Fractions (Review)

21

13

21

112

Oh, I know I have to separate the improper fraction into a mixed number and add it to the whole

number I already had…

Page 16: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Adding Fractions (Review)

21

13

7

5

3

12

Cool, thanks for your help!

Page 17: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Subtracting Fractions (Review)

3

13

9

51

Yikes, I am taking away more than I started with… I think making these into improper

fractions first will make it less confusing.

Page 18: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Subtracting Fractions (Review)

3

10

9

14

3

13

9

51

There…I feel better already.

How about an LCD. Hmmm, what should I use???

Page 19: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Subtracting Fractions (Review)

9

30

9

14

Cool, I only had to change one of my fractions!

What the heck is 14-30 anyway?

Page 20: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Subtracting Fractions (Review)

9

16

9

30

9

14

I knew my answer was going to be negative, since I was taking away more than I started with.

Now I just need to make it a mixed number and I am done!

Page 21: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Subtracting Fractions (Review)

9

71

9

16

When I change it to a mixed number, I get to ignore the negative sign! (I like that)

Page 22: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Multiplying Fractions (Review)

3

12

9

1

Woot Woot…multiplying fractions is so much easier than adding

and subtracting.

No more LCD’s…whoopee!!!!

Page 23: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Multiplying Fractions (Review)

3

7

9

1

I just make any mixed numbers or whole numbers fractions first,

right?

Can I pull any factors from the numerator or denominator?

Page 24: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Multiplying Fractions (Review)

27

7

3

7

9

1

My answer is negative because a negative times a positive always

is…duh.

Page 25: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Dividing Fractions (Review)

)3

22(

9

1

Okay, dividing fractions is just a teeny bit trickier. We can do it,

right?

Help me out…what do I do first?

Page 26: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Dividing Fractions (Review)

)3

8(

9

1)

3

22(

9

1

Oh you’re right, I always have to convert any mixed numbers or

whole numbers to fractions first. How did you get so smart?

Ugg..now what. I change it to multiplying by…what was that “r”

word again?

Page 27: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Dividing Fractions (Review)

)8

3(

9

1)

3

8(

9

1

Oh yeah, RECIPROCAL. Dividing is the same things as multiplying by

the RECIPROCAL. I get it.

I like cancelling…can I do any cancelling?

Page 28: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Dividing Fractions (Review)

)8

3(

9

1

Oh yeah, RECIPROCAL. Dividing is the same things as multiplying by

the RECIPROCAL. I get it.

I like cancelling…can I do any cancelling?

1

3

Page 29: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Dividing Fractions (Review)

24

1)

8

3(

9

1

We got it! Thanks for your help!

1

3

Page 30: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Let’s play Jeopardy What are our expectations?

B1 B3 B4 G1 G3 G4

Page 31: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

LCM Review

How do I find the LCM of 6a2 and 18a3

Page 32: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

Compare and order fractions

Order -1, -1/2, 3/4, and 2/5 from least to greatest

Page 33: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

How do I go from a fraction to a decimal?

8

5

Page 34: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

How about from a decimal to a fraction? 0.54

0.777… or 7.0

Page 35: Thursday, November 4 Today’s Agenda 1.No homework due today 2.Fill in planner –Today’s assignment is Practice 5-6 –Chapter 5 test will be Monday 3.Bell

More Jeopardy?

B1 B3 B4 G1 G3 G4