Grade 06 Mathematics - EC: M06.C-G.1.1.4
Grade 06 Mathematics - EC: M06.C-G.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
Activities
- Given the points on the graph, calculate its area.
- Given the points on the graph, find the area of the triangle.
- Given the points A(3, 5), B(-2, 5), C(-5, 0) and D(0, 0), calculate the area of the parallelogram. Explain.
- Given the points A(7, 6), B(-6, 5), C(-6, -1), and D(7, -7). Identify the shape drawn and calculate the area. Show all your work, including the graph.
- Look at the points of the rectangle on the graph. If point C changes to (-4, -6) what other point(s) would have to change, and to what, so that it will stay a rectangle? What are the new side lengths of the rectangle and what is the area of the new rectangle? Explain/show your work.
- What is the area of the triangle on the grid? Predict what would happen to the area if you change point A to (-2, 4). Verify your prediction and explain your answer.
Answer Key/Rubric
- 25 units2
- 15 units2
- 25 units2
Acceptable responses may include, but are not limited to:
- Plot the points on the graph.
- Identify the height of the parallelogram by dropping a line perpendicular to the x-axis; height is 5 units.
- Calculate the area:
- Trapezoid with an area of 123.5 units2
Acceptable work may include, but is not limited to:
- Graph points:
- Identify shape as a trapezoid.
- Identify height of the trapezoid by drawing a line perpendicular to the y-axis from one base to the other; height is 13 units.
- Calculate the area:
- Student work might include, but is not limited to:
- The other points that would have to change are B and D
- Point B would have to move to (-4, 3)
- Point D would have to move to (3, -6)
- The new length and width are 9 by 7.
- Area of rectangle = 63 units2
- Student work might include, but is not limited to:
- Area of triangle = 17.5 units2
- Students need to make a prediction and test it.
- If you move point A to (-2, 4) the area of the new triangle would not be changed.
- The triangle that is made with the new point A will have the same length base and same length height; therefore the area would remain the same.
