Grade 08 Mathematics - EC: M08.B-E.3.1.5

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

8th Grade

Course, Subject

Mathematics

Related Academic Standards / Eligible Content

M08.B-E.3.1.5 M08.B-E.3.1.5

Solve real-world and mathematical problems leading to two linear equations in two variables. Example: Given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.

Activities

Determine whether the line through points (1, 6) and (-5, 1) will intersect the line running through points (3, 4) and (-3, -1).

The length of a rectangle is 3 meters more than its width. The perimeter is 26 meters. Write a system of equations that could be used to find the dimensions of the rectangle.

Miguel cooked 39 hamburgers and hot dogs at a cookout. He cooked twice as many hot dogs as hamburgers. Write a system of equations that could be used to find how many hamburgers he cooked.

From the school carnival Joe had some 2-point tickets and some 5-point tickets he won from playing the games. He chose a prize worth 96 ticket points. If he had 39 tickets in all, how many 2-point tickets did he have? Write two linear equations in two variables and solve.

The cost of 12 donuts and 4 bagels is $13.20. The cost of 24 donuts and 6 bagels is $24.30. How much do one donut and one bagel cost? Write a system of equations and solve.

Answer Key/Rubric

No, the two lines are parallel.

Acceptable responses may include, but are not limited to:

Let l = length

Let w = width

Equations:

Acceptable responses may include, but are not limited to:

Let h = hamburgers

Let d = hotdogs

Equations:

Joe had 33 two-point tickets.
Acceptable work may include, but is not limited to:

(All work should be shown)

Let x = two point tickets

Let y = five point tickets

Equations:

Solution:

Donuts cost $1.05 each and bagels cost $0.75 each.
Acceptable answers may include, but are not limited to:

(All work should be shown)

Let d = donuts

Let b = bagels

Equations:

Solution: