14.3 Represent Addition of Fractions

14.3 Represent Addition of Fractions

I can use visual representations to add fractions. I can write equations to model a given number line or word problem.

Spark Your Learning

Caleb enters a frog in a frog-jumping contest. His frog jumps twice. Caleb wants to find the total distance his frog jumps.

Explain how you can determine the lengths of each of the frog’s two jumps, then find the total distance the frog jumps.

Open Ended

How would you measure how far Caleb's frog jumps?

Build Understanding

A grasshopper jumps 2/6​​ yard and then immediately jumps another 3/6​​ yard. How far does the grasshopper jump?

Multiple Choice

Which addition equation models the distance the grasshopper jumps?

• 2/6 + 5/6 = 7/6

• 2/6 + 3/6 = 5/6

• 5/6 + 1/6 = 6/6

Multiple Choice

What do you notice about the numerators of the addends and the numerator of the sum?

• The sum of the numerators of the addends equals the numerator of the sum.

• The sum of the numerators of the addends equals the denominator of the sum.

Multiple Choice

What do you notice about the denominators of the addends and the denominator of the sum?

• The denominators of the addends are greater than the denominator of the sum.

• The denominators of the addends are less than the denominator of the sum.

• The denominators of the addends are the same as the denominator of the sum.

Step it Out

Sam’s pet rabbit lives in a hutch with a sleeping space that has an area of 3/12​​ square yard. Cici’s pet rabbit has a sleeping space that has an area that is 4/12​​ square yard larger than Sam’s rabbit’s sleeping space. What is the area of Cici’s rabbit’s sleeping space?

First

Go back to hellosmart.com and use the fraction strips to show me 3/12 + 4/12

Multiple Choice

Now, what is the area of Cici’s rabbit’s sleeping space?

• 3/12 square yard

• 4/12​​ square yard

• 7/12​ square yard

Multiple Choice

What do you notice about the denominators of the addends and the denominator of the sum?

• The denominators of the addends are greater than the denominator of the sum.

• The denominators of the addends are less than the denominator of the sum.

• The denominators of the addends are the same as the denominator of the sum.

Multiple Choice

What do you notice about the numerators of the addends and the numerator of the sum?

• The sum of the numerators of the addends equals the numerator of the sum.

• The sum of the numerators of the addends equals the denominator of the sum.