Grade 08 Mathematics - EC: M08.B-E.3.1.4
Grade 08 Mathematics - EC: M08.B-E.3.1.4
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
8th Grade
Course, Subject
Mathematics
Related Academic Standards / Eligible Content
Activities
- Identify possible solutions to systems of equations and draw an example of each.
- Identify the number of solutions each system of equations will have:
- 5y – 2x = 12
5y – 2x = -4
- 5y – 2x = 12
- 2x + y = 7
4x + 2y = 14
- Solve the following system of equations algebraically. Be sure to show all your work and check your answer.
- Solve the following system of equations graphically:
- Amir and his brother are 4 years apart. Amir’s age can be represented by the equation y = x and his brother by the equation y = x + 4. Graph the two equations on the same coordinate plane. What do you notice about the graph, and what does it mean?
Answer Key/Rubric
- Systems of equations can have one solution, no solution, or infinite solutions.
Acceptable drawings may be similar to the following:
- One solution – cross each other at one point
- No solution – lines drawn are parallel
- Infinite solutions – lines overlap; exact same line
- Answers as follows:
- None
- Infinite
- (8, 1)
Acceptable work may include, but is not limited to:
- (-5, 4)
- Acceptable answers may include, but are not limited to:
The lines are parallel and will never intersect which means that the two brothers will never be the same age at the same time.
