5th Grade FractionsMultiplying and Dividing

5 x ⅞ = 1 5 10

Closest Estimate

Multiplication

What comes to mind when you think about multiplication?

Fraction Multiplication

For the two situations below, draw a picture and create a story.

a. 12 x ¼ b. ¼ x 12

Fraction Multiplication

a. 12 x ¼ b. ¼ x 12

How would your pictorial representations change if the ¼ above were changed to a 4?

The Bike RaceA Bicycle race is 480 miles long.

Amy rode of the race. ⅙Use a strip of paper to show how many miles

Amy rode.

Writing Equations

Read CC. p. 33 and 34.

How are students introduced to writing equations?

The Over-Achiever The swimming pool is 16 meters long.

Kaneka swam 1 ½ times the length of the swimming pool.

Did she swim more or less than 16 meters?How many meters did Kaneka swim?

Mental Multiplication

Luisa explains 3 ½ x 2

What understanding is Luisa calling upon to make sense of this problem? What makes you say this?

What understanding are these students bringing from whole numbers to approach this new situation?

Mental Multiplication

Watch Jada explain 3 ½ x 2

Thoughts?

Create a Representation

⅓ x ¼

How Much Brownie do You Get?

There was ¼ of a brownie left on the table. You got ⅓ of it.

What portion of the brownie did you get? What part of the whole brownie did you get?

Area Representation Your school owns a piece of land that has an area of 1

square mile.

¾ of the land is reserved for students to use. The students decide that ½ of their land should be saved to make a playground.

What fraction of the school land is reserved for a playground?

Considering Division

What comes to mind when you think about division?

Picturing Division

Think about 8÷2 draw a picture of this expression and based on your picture write a short context to go with

your picture.

Picturing Division

Now think about 8 ÷ ½ What is your picture for this? Try

repeating the same steps as above and reflect on how your mental images are the same or different from before.

Did Your Picture Change?

What if the expression was ½ ÷ 8? This time consider a situation that would result in this expression.

- Record a context for this expression

When you have a context try drawing a picture of this expression and reflect on how your thinking shifts for this exercise.

Gardening Anyone?Land is reserved for gardening at The Perfect Elementary School. See the

details below regarding how the land is to be planted:

• Grade 5 gets ½ the land• Grades 2-4 each get a ¼ of what is left• Kindergarten and First have to share evenly the remaining portion

Here if you need me

k.turner@cms.k12.nc.usamy.lehew@cms.k12.nc.us