Homework Check1. As a team, check homework

answers.2.Make changes to homework as

needed and LEARN how to find the correct answer by TALKING to your TEAM!

*** REMEMBER everyone makes mistakes! ***

****That is HOW we LEARN! ****

September , 2015

At your desk:1. Math Journal2. Planner3. Homework

By the end of class today:

-You will be able to fluently add, subtract,

multiply and divide with mixed numbers

Life lessons: Be Present- Minded Be Committed to Excellence Be a Positive Force Take Action!

Complete Warm-Up in journal

Solve in simplest form1.

2.

3.

4.

4 55 6

4 19 3

1 73 10

2 115 5

23 1

9

130

1

23

Lesson:Operations With Mixed Numbers

Title the top of your journal page:

Operations with Mixed Numbers

1. Write each mixed number as an improper fraction.

2. Follow the procedures for adding, subtracting, multiplying or dividing fractions.

3. Write the answer in simplest form. Convert the answer to a mixed number if needed.

Explore!

Rope RodeoFour friends participate in the rodeo and purchased rope to use in different events.

Step 1 Keenan purchased two pieces of rope. One piece of rope is yards long. The other piece is yards long. Keenan needs help finding the total length of rope he purchased.

a. Write each mixed number as an improper fraction.

b. Determine which operation (add, subtract, multiply or divide) should be used.

c. Follow the rules for that operation. Do you need a common denominator? Do you need the reciprocal? Look at Lessons 3 and 4 if you need help remembering the procedures.

d. Simplify your answer and convert it to a mixed number, if needed.

58

4

14

5

Explore!

Rope RodeoStep 2 Olivia bought a piece of rope that was

yards long. She cut off a piece that was yards long so that the remaining piece would be just the right size. Help Olivia determine how long her remaining piece is. a. Write each mixed number as an improper fraction.

b. Determine which operation (add, subtract, multiply or divide)should be used.

c. Follow the rules for that operation. d. Simplify your answer and convert it

to a mixed number, if needed.

15

213

1

Explore!

Rope RodeoStep 3 Gregory’s father told him

he needed a rope that was times the length of his arm. If Gregory’s arm is feet long, what length of rope does he need?

12

4

15

2

a.Write each mixed number as an improper fraction.

b.Determine which operation (add, subtract, multiply or divide) should be used.

c.Follow the rules for that operation.

d.Simplify your answer and convert it to a mixed number, if needed.

Explore!

Rope RodeoStep 4 Laura bought a piece of rope that is

yards long. She wants to cut it into equal sized pieces that are each yards long. Help her determine how many pieces of rope she will have after cutting it.a.Write each mixed number as an improper fraction.

b.Determine which operation (add, subtract, multiply or divide) should be used.

c.Follow the rules for that operation. d.Simplify your answer and convert

it to a mixed number, if needed.

13

1323

2

Example 1Find the value of .

Change each mixed number to animproper fraction.

Write equivalent fractions with theleast common denominator, 8.

Add the numerators.

Write as a mixed number.

1 74 8

2 1

1 74 8

9 152 and 1

4 8

18

18 15 334

8 8 8

1 7 14 8 8

2 1 4

Example 2Madison had a rope that was 8 feet long. She cut off a piece for a

friend that was feet long. How much rope does she have left?

Write the problem.

Change each mixed or wholenumber to an improper fraction.

Write equivalent fractions withthe least common denominator, 4.

Subtract the numerators and simplify.

Madison has feet of rope left.

34

5

348 5

34

8 238 5

1 4

14

32 23 92

4 4 4

14

2

Example 3Find the value of .

Write each mixed number asan improper fraction.

Multiply the numerators anddenominators.

Simplify the fraction.

1 36 10

2

1 136 6

2 3 310 10

13 3 13 3 396 10 6 10 60

1 1336 2010

2

Good to Know! When finding the reciprocal of a whole number, write the

whole number as a fraction over 1 and then “flip” the fraction.

33

1 Reciprocal 𝟏

𝟑

Example 4Iona runs six days each week. Each of her runs is equal in length.

If her total mileage for the week is miles, how long was each run?

Write the problem.

Write each whole and mixednumber as an improper fraction.

Multiply by the reciprocal of the divisor.

Simplify the fraction.

Change into a mixed number.

Iona runs miles each day.

34

12

34

12 6

18

2

3 514 4

12 61

6

51 6 51 1 514 1 4 6 24

PracticeMath book page 23.

Student’s Pick:• 2 addition• 2 subtraction• 2 multiplication• 2 division

Precision Police• Is my work organized?• Does my work support my

answer?• Did I label my answer?• Did I circle or box my answer (if

applicable)?

Communication Prompt(Copy and reply in journals)

In your own words, explain how to add, subtract, multiply and divide with mixed numbers.

Exit Problems(Copy and reply in journals)

1. Find the value of .

2. Wildy had yards of ribbon. She purchased an additional yards of ribbon. How many total yards of ribbon does she have?

3. Ivan walked miles over 5 days. He walks the same amount each day. How far is his daily walk?

4. Find the value of .

1 32 4

4 2

56

1

3 14 5

3 1

13

3

78

6

34

1

16

5 yards

38

1 miles

12

4

Homework:

1.5 Worksheet

****Remember:

You will be able to fluently add, subtract, multiply and divide with mixed numbers