Illustrative Mathematics | v.360 Curriculum

Problem 1

Select all expressions that are equal to $3 \boldcdot 3 \boldcdot 3 \boldcdot 3 \boldcdot 3$.

$3 \boldcdot 5$
$3^5$
$3^4 \boldcdot 3$
$5 \boldcdot 3$
$5^3$

Problem 2

Noah starts with 0 and then adds the number 5 four times.
Diego starts with 1 and then multiplies by the number 5 four times.
For each expression, decide whether it is equal to Noah’s result, Diego’s result, or neither.

$4 \boldcdot 5$
$4+5$
$4^5$
$5^4$

Problem 3

Decide whether each equation is true or false. Explain or show how you know.

$9 \boldcdot 9 \boldcdot 3 = 3^5$
$7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3$
$\frac{1}{7} \boldcdot \frac{1}{7} \boldcdot \frac{1}{7} = \frac{3}{7}$
$4^1 = 4 \boldcdot 1$
$6 + 6 + 6 = 6^3$

Problem 4

What is the area of a square with side lengths of $\frac35$ units?
What is the side length of a square with area $\frac{1}{16}$ square units?
What is the volume of a cube with edge lengths of $\frac23$ units?
What is the edge length of a cube with volume $\frac{27}{64}$ cubic units?

Problem 5

ForLesson 9: The Distributive Property, Part 2

Select all the expressions that represent the area of the shaded rectangle.

Area diagram. Rectangle partitioned into two smaller rectangles. One rectangle shaded blue.

$3(10-c)$
$3(c-10)$
$10(c-3)$
$10(3-c)$

Problem 6

ForLesson 20: Dividing a Decimal by a Decimal

A ticket at a movie theater costs \$9.50. One night, the theater had \$33,402 in ticket sales.

Estimate about how many tickets the theater sold. Explain your reasoning.
How many tickets did the theater sell? Explain your reasoning.

Problem 7

ForLesson 9: Fractional Lengths

Jada will build a fence around a rectangular garden that is $8 \frac{1}{2}$ feet by $6 \frac{1}{3}$ feet. Fencing comes in panels. Each panel is $\frac{2}{3}$ of a foot wide. How many panels does Jada need? Explain or show your reasoning.

Navigation

Gradeband

Course

Unit

Lesson

Settings

Audience

Assessment Access

Lesson | Practice | Loading...