Tape Diagrams and Their Stories

Tape Diagrams and Their Stories

Activity 3 and Synthesis

Examine the following situation:

Each of 5 gift bags contains x pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 20 pencils.

Think about an equation that could represent this situation.

Multiple Choice

Choose the equation that represents the situation: 

Each of 5 gift bags contains x pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 20 pencils.

• $5\left(x+3\right)=20$

• $3\left(x+5\right)=20$

• $x+3=20$

• $20x=5$

Open Ended

Think about the equation you chose: What does the 3 represent in the story?

(Each of 5 gift bags contains x pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 20 pencils.)

Open Ended

Think about the equation you chose: What does the 5 represent in the story?

(Each of 5 gift bags contains x pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 20 pencils.)

Open Ended

Think about the equation you chose. What does the 20 represent in the story?

(Each of 5 gift bags contains x pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 20 pencils.)

Open Ended

Think about the equation you chose. What does the x represent in the story?

(Each of 5 gift bags contains x pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 20 pencils.)

Multiple Choice

What is the solution to the equation and what does the solution represent in the story?

5(x+3)=20

(Each of 5 gift bags contains x pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 20 pencils.)

• 1: it represent the number of pencils in each bag before Tyler added 3 more.

• 1.25: it represents the number of pencils per bag.

• 6: it represents the number of gift bags.

• 17: it represents the total number of pencils.

Poll

How do you feel about tape diagrams?

• I got it!

• I want more practice!

• I can teach it!

• Please help.

Before the Cool Down - Complete the following IXL and submit your screenshot to canvas.

S.4 Write and solve equations that represent diagrams - NEED A SMART SCORE OF 70 or ABOVE!