Fractions
U.S. Algorithm
Comparison
Story Problems
Big Ideas
100

7 - 4 1/5 

2 4/5 

100

72 x 8 

576

100

Matthew can run 8 times as fast as Elijah. If Elijah runs at a speed of 16 miles per hour, which equation would help solve how fast Matthew runs?

16 x 8 = ?


LA x TM= GA

16 x  8    = ___

100

What does it mean to "exclude the remainder"?

Ignore/ cross out remaining [items]


This is when the items are;

1. Not important according to the story problem context

2. The groups must be complete, full, whole, or equal.

100

What 

- End in zeros

- multiples of 10s

200

Is 10/12 greater than, less than, or equal to 4/6? 

Explain why!

Greater than

200

378 divided by 9 

42

200

The digit 7 in 573 is 100 greater than the digit 7 in which number?

A.7,396

B.47,506

C. 310,407

B. 47,506


The 7 is exactly 100 times greater! 

200

You must answer BOTH questions to earn full points

1. What does it mean to "include the remainder"? (100 pts)

2. When do you "include the remainder"? (100 pts.)

1. to include remainder [items] into ANOTHER GROUP 

2. because the items are valued/needed [according to the story problem context

200

When adding, subtracting, multiplying or dividing fractions..

The denominator stays the same! 


When you change the denominator to change the value/size or the total fraction.

300

Put in order from greatest to least

1 3/6, 1 6/6, 1 1/6, 1 4/6  

1 6/6, 1 4/6, 1 3/6, 1 1/6 

300

602 divided by 5 

120 r 2

300

True or False

505,213 > 55,213

TRUE! 


The 5 in the hundred thousands place give the whole number a GREATER VALUE

300

Ms. Willoughby is buying flowers for the Annie cast. She has 233 flowers and needs to put the flowers in the vases. Each vase can hold a maximum of 5 flowers. What is the least amount of vases needed for all of Ms. Willoughby's flowers?

Include- Ms. Willoughby will need and minimum of 47 vases for the flowers. 

46 vases R 3 flowers. 

Include 1 more vase because Ms. Willoughby wants all of her flowers.


300

When subtracting mixed numbers with a lesser  fractional value in the minuend, we have to..

Regroup and rewrite!

1.Borrow from our wholes, then regroup to add more value to the fractional amount of the minuend. Before subtracting, rewrite new equation.

400

5/12 + 8/12 

1 1/12

400

Idrissa has 174 burgers, and he wants to share them equally among his 6 friends. How many burgers will each friend get?

29 candies

400

Emely's garden is 143 meters long. If Jayden's garden is 3 times longer than Emely's, which equation will help solve how long is Jayden's garden?

How long would it be?

143 x 3 

Jayden's garden is 429 meters long. 

LA x TM = _ 

400

Target is planning of selling new Mario mechanical pencils next month! They want to 732 pencils in each pack. Each pack must hold 7 pencils. How many packs of pencils can Target sell?

Exclude- Target can sell only 104 packs of pencils.


104 packs of pencils R 4 pencils. 

Exclude the remaining pencils because Target cannot sell an incomplete pack of pencils. 

400

When trying to determine if a story problem in 1 step or multi-step we must...

Look at final task and known units. 

Then think, "Do I have all that I need to solve my final task?"

500

Convert mixed numbers into improper fractions: 

7 3/10, 5 5/7, 8 4/9 

73/10, 40/7, 76/9 

500

Milan has 336 grapes. She wants to pack them into ziplock bags, with each ziplock bag containing 2 grapes. How many ziplock bags can Milan fill?

168 ziplock bags

500

Ms. Smith has 20 new pairs of pants. That is 4 times the amount that Ms. Branch has. 

Ms. C has 2 times as many as Ms. Branch.

How many pairs of pants does Ms. C have?

Ms. C has 10 pairs of pants!


GA / TM= LA | LA x TM= GA

20 / 4 = 5      |  5 x 2 = 10

500

Ms. Kuang has 241 treats to put into her Easter eggs. Her eggs can only fit 4 treats each. Cornell has 64 treats left for their Homework Heroes. She uses her left over treats and puts them to Cornell's Homework Hero Bag. How many treats does Cornell have now for their Homework Heroes?

Cornell has 65 treats for their Homework Heroes!


241 / 4 = 60 eggs R 1 treat 

1 treat + 65 treats for Cornell = 65 treats

500

When solving for perimeter or area of a square and only  know one side.... 

Then I know all sides because all sides of a square are equal.