Fraction Models

Fractions on a Ruler:

Licorice

Money & Clock Fractions: Student Posters

Clocks or Money?

Egg Carton Fractions

Preparing the River Trail

Determining the Fractional Parts

Finished Trail

Finished Trail

Finished Trail

Grade 5, Unit 2, Module 2, Session 3

Double Number Lines Fractions as Operators

Warmup: Mental Math

• 1/2 of 44 1/4 of 44 1/8 of 44 • 1/4 of 16 2/4 of 16 3/4 of 16 • 1/5 of 25 2/5 of 25 4/5 of 25 One of the purposes of the above problems, is to

get students thinking of fractions as operators.

The Double Number Line Model

• The double number line model is helpful because it begs for action. Once you put the total length on the end, you start by finding a unit fraction of that length. The double number line is a handy tool to solve problems with a variety of denominators, unlike the previous problems in the unit where the denominators were limited to factors of 100 (money) or 60 (clock). Now students can create a line of any length that works with the denominators at hand.

• Mr. Miles is a teacher who is training on a nearby hiking trail to run a race. In his training he walks to warm up and then he jogs or runs. One day, he walked 1/10 of the trail and then he ran 1/4 of the trail. How much of the trail did he cover that day?

• What might be a trail length that will work well to

find 1/10 and 1/4 of the length? • What fraction of the trail has he covered?

• What is a shorter trail length you could use? • 0 km

____ km

•On another day, Mr. Miles walked 1/7 of the trail and ran 3/5 of it.

• 0 km ____ km

• On another day, Mr. Miles walked and ran 7/8 of the trail, and then he walked back 1/3 of the trail. How far from the beginning of the course is he now? What fractional amount of the course is that?

0 km 24 km

0 km 24 km 0 km 24 km

Some Fraction Work Places

Personal Practice Using fraction kits to solve problems: