Grade 06 Mathematics - EC: M06.B-E.1.1.4

Continuum of Activities

The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.

This continuum of activities offers:

Instructional activities designed to be integrated into planned lessons
Questions/activities that grow in complexity
Opportunities for differentiation for each student’s level of performance

Grade Levels

6th Grade

Course, Subject

Mathematics

Related Academic Standards / Eligible Content

M06.B-E.1.1.4 M06.B-E.1.1.4

Evaluate expressions at specific values of their variables, including expressions that arise from formulas used in real-world problems. Example: Evaluate the expression b^2 – 5 when b = 4.

Activities

Evaluate the following expressions for a = 2, b = 5, and c = 8

a. a + c – b
b. 4b ÷ a
c. c² - ab

The volume of a cube can be found with the formula V = s³. Find the volume of the cube below.

When you sign up for dance class you have a startup fee of $75 and then a monthly fee if $54. The dance company use the expression 75 + 54m to find out how much it will cost to attend classes. How much would it cost to take classes for 10 months?
To find the area of a triangle you use the formula A = bh. Find the area of the triangle drawn below.

You are ordering flashlights and batteries online in case there is a power outage. Each flashlight costs $4.25 and uses 3 batteries. The batteries cost $0.50 each. The shipping cost is a flat rate of $6.25. Write an equation that can be used to calculate how much it would cost for any number of flashlights along with the necessary batteries. Find the total cost if you order 4 flashlights.

To play laser tag you have to pay $8.00 to get in and then you pay $5.50 for each hour that you stay and play. Fill in the table below to see how much is will cost to play for 1 – 4 hours. If you brought $28 with you, what is the maximum number of hours you can play? Explain

Answer Key/Rubric

Answers as follows:

a. 5
b. 10
c. 54

so V = 27 cubic inches

75 + 54(10)

75 + 540

$615 total cost for 10 months of dance classes.

A = (4)(3)

A = 12 square inches

Expression: 4.25f + 1.50f + 6.25; Total cost: $29.25

4.25f represents the cost of a flashlight multiplied by the number of flashlights you buy

Each battery requires 3 batteries at $0.50 each or $1.50 per flashlight

1.50f represents the cost of batteries multiplied by the number of flashlights that you buy.

6.25 represents the shipping cost

To solve the expression you need to replace the variable with the number of flashlights being purchased and then evaluate
4.25f + 1.50f + 6.25
4.25(4) + 1.50(4) + 6.25
17.00 + 6.00 + 6.25
$29.25 final cost

See table.

Maximum number of hours you can play is 3. You don’t have enough to play another hour