fraction models. fractions on a ruler: licorice
TRANSCRIPT
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: