Exploring Illustrative Mathematics Grade 6 Unit 6 Lesson 1

This video tutorial covers the use of tape diagrams to represent mathematical equations, focusing on addition and multiplication. It introduces variables in tape diagrams and demonstrates how to solve equations using these visual tools. The lesson includes practical examples and concludes with a summary and homework instructions.

Which tape diagram represents the equation 2 + 5 = 7?

• A diagram with two groups of five

• A diagram with five groups of two

• A diagram with seven groups of one

• A diagram with a box of two and a box of five

In a multiplication equation, what does the multiplication symbol typically represent?

• Addition of numbers

• Subtraction of numbers

• Division of numbers

• Groups of a number

Which diagram represents the equation 4 + x = 12?

• A diagram with x groups of four

• A diagram with twelve groups of one

• A diagram with a box of 4 and a box of x

• A diagram with four groups of x

What is the value of x in the equation 12 divided by 4 = x?

• 2

• 3

• 6

• 4

How do you find the value of x in the equation 18 = 3 + x?

• Subtract 3 from 18

• Add 3 to 18

• Multiply 3 by 18

• Divide 18 by 3

What is the value of y in the equation 18 = 3y?

• 3

• 6

• 9

• 12

Which path leads to the treasure if only one guard is telling the truth?

• Path A

• Path B

• Path C

• None of the above

What is the unit price of potatoes if 4.5 pounds cost $2.52?

• $0.45 per pound

• $0.98 per pound

• $0.56 per pound

• $0.75 per pound

How many fluid ounces did Andre drink if he consumed 80% of a 16.9-ounce bottle?

• 16.72 ounces

• 15.12 ounces

• 14.32 ounces

• 13.52 ounces

What is 25% of the daily recommended allowance of calcium (1200 mg) for a sixth grader?

• 400 mg

• 300 mg

• 200 mg

• 500 mg