# 4th Grade - Show Fractions Using Pictures

 Grade Level: 4th Skill: Fractions and Probability Topic: Show Fractions Using Pictures Goal: Write the fraction represented by a drawing of parts of a figure; represent a given fraction by using drawings; and relate a fraction to a simple decimal on a number line. Skill Description: Write a fraction for pictures and models. Change the fraction to a decimal and plot it on a number line.

## Building Blocks/Prerequisites

### Sample Problems

 (1) Tell what part is shaded using a fraction: ______ (4/6 or 2/3) (2) Tell what part is unshaded using a fraction: Write the fraction in simplest form. ________ (2/8 or ¼) (3) Write a fraction for each part of the figure: Green _____ (1/8) Blue _____ (3/8) Not Red ______ (6/8 or ¾) Purple ______ (use simplest form) (1/4) (4) Write a mixed number for the picture. Use simplest form. ______ (2 ½) (5) Write a fraction for the shaded happy faces. Plot the fraction on the number line: ☺☺☺ ☺☺☺☺ ☻☻☻☻☻☻☻ ‹-•-----------------•------------------•--------------------•-----------------•----› 0 0.5 1 1.5 2 ( 7/14 or ½; Place on 0.5 on the number line)

### Learning Tips

 (1) Math vocabulary: Numerator = part Denominator =whole Simplest form-a fraction with a numerator and denominator that can only be divided by one. Improper fraction- a fraction that has a numerator greater than the denominator. Mixed number- a whole number and a fraction (2) Steps to finding the simplest form of a number: Find the greatest common factor for the numerator and denominator (i.e.) 18 21 -what are the factors for 18: 1,2,3,6,9,18 -what are the factors of 21: 1,3,7,21 -What factors do the numbers have in common 1 & 3, but 3 is the greatest common factor. Divide 18 and 21 by 3; 18 ÷3 = 6 21÷3 = 7 Does 6 or 7 have a factor greater than 1? No, so the fraction is in simplest form. (3) Remind child to pay attention to what is being asked of them. If they are asked to write a fraction for shaded or unshaded. They usually write a fraction for the shaded part of a figure. (4) Practice writing fractions with concepts children understand (i.e. Look around the room and ask: How many lights do we have in the house? How many lights are turned on? What is the fraction of the lights turned on?) Child can draw the lights and color the # of turned on lights yellow. (5) Review how to change fractions to decimals. Make the denominator 10 or 100. Remind child that ½ = 0.5 ¼ = 0.25 ¾= 0.75 (Use concept of \$1.00 and how many quarters are in a dollar).

 (1)

### Extra Help Problems

(1)

Write a fraction for the shaded part in simplest form: _______

(1/6)

(2)

Write a fraction for the shaded part in simplest form:_______

(2/3)

(3)

Write two equivalent fractions for the shaded part:

(2/8 or ¼)

(4)

Write a fraction for the shaded part:

(6/10 or 3/5)

(5)

Write two equivalent fractions for the shaded part:

(6/12, 2/4, ½)

(6)

Write a fraction for the unshaded part:

(14/24 or 7/12)

(7)

Write a fraction for the unshaded part:

(5/10 or ½)

(8)

Write a fraction for the unshaded part. Use simplest form:

.

(2/5)

(9)

Write a fraction for the unshaded part:

(9/12 or ¼)

(10)

Use the chart below to write fractions:

Write a simplified fraction for the shaded colors:

Red ____ (4/20 or 1/5)

Blue ____ (4/20 or 1/5)

Pink ____ (6/20 or 3/10)

Green and yellow _____ (6/20 or 3/10)

(11)

Identify the shaded part on a number line:

----------•---------•----------•---------•----------•---------•----------•------

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

(0.3)

(12)

Identify the shaded part on a number line:

----------•---------•----------•---------•----------•---------•----------•------

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

(0.5)

(13)

Change the fraction to a decimal:

25

100

(0.25)

(14)

Change the fraction to a decimal:

1

5

(0.2)

(15)

Change the fraction to a decimal:

2

20

(0.1)

(16)

Change the decimal to a fraction:

0.35

(35/100 or 7/20)

(17)

Change the decimal to a fraction:

0.3

(3/10)

(18)

Add the decimals. Write as a fraction:

0.35 + 0.35

(70/100 or 7/10)

(19)

Add the decimals. Write as a fraction:

0.8 + 0.7

(15/100 or 3/20)

(20)

Add the decimals. Write as a fraction:

0.25 + 0.25 =

(50/100 = ½)

(21)

Simplify the fraction:

3/12

(1/4)

(22)

Simplify the fraction:

35/60

(7/12)

(23)

Simplify the fraction:

18/32

(9/16)

(24)

Simplify the fraction:

15/30

(1/2)

(25)

Simplify the fraction:

4/12

(1/3)