IM 7.6.5 Lesson: Reasoning about Equations and Tape Diagrams (Part 2)
Solve the equation mentally.
Draw a tape diagram to represent this situation. Each of 5 gift bags contains x pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 20 pencils.
Draw a tape diagram to represent this situation. Noah drew an equilateral triangle with sides of length 5 inches. He wants to increase the length of each side by x inches so the triangle is still equilateral and has a perimeter of 20 inches.
Draw a tape diagram to represent this situation. You may need to decide what to represent with a variable. An art class charges each student $3 to attend plus a fee for supplies. Today, $20 was collected for the 5 students attending the class.
Draw a tape diagram to represent this situation. You may need to decide what to represent with a variable. Elena ran 20 miles this week, which was three times as far as Clare ran this week. Clare ran 5 more miles this week than she did last week.
Which equation represents the following situation?
Each of 5 gift bags contains pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 20 pencils.
Find the solution to the equation from your answer above. Use your diagrams above to help you reason.
What does the solution tell you about its situation?
Each situation in the previous activity is represented by one of the equations.
Which equation represents the following situation?
Noah drew an equilateral triangle with sides of length 5 inches. He wants to increase the length of each side by inches so the triangle is still equilateral and has a perimeter of 20 inches.
Find the solution to the equation from your answer above. Use your diagrams above to help you reason.
What does the solution tell you about its situation?
Which equation represents the following situation?
An art class charges each student $3 to attend plus a fee for supplies. Today, $20 was collected for the 5 students attending the class.
Find the solution to the equation from your answer above. Use your diagrams above to help you reason.
What does the solution tell you about its situation?
Which equation represents the following situation?
Elena ran 20 miles this week, which was three times as far as Clare ran this week. Clare ran 5 more miles this week than she did last week.
Find the solution to the equation from your answer above. Use your diagrams above to help you reason.
What does the solution tell you about its situation?
Han, his sister, his dad, and his grandmother step onto a crowded bus with only 3 open seats for a 42-minute ride. They decide Han’s grandmother should sit for the entire ride. Han, his sister, and his dad take turns sitting in the remaining two seats, and Han’s dad sits 1.5 times as long as both Han and his sister. How many minutes did each one spend sitting?
