Grade 08 Mathematics - EC: M08.C-G.2.1.1
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
- Determine if a triangle with side lengths of 4 inches, 9 inches and 7 inches forms a right triangle.
- True or False. The following triangle is a right triangle.
- 20 inches and 29 inches are two sides of a right triangle. All three side lengths of the triangle are integers and together form a Pythagorean triple. Find the length of the third side and tell whether it is a leg or hypotenuse. Explain how you found your answer.
- Explain how to determine if the following side lengths would form a right triangle. 53 feet, 28 feet and 45 feet.
- Determine if 25 cm, 16 cm, and 12 cm would form a right triangle. Justify your answer.
- Alexandria used the Pythagorean theorem to answer the question of whether or not 7, 25, and 24 would form a right triangle. Alexandria determined that these lengths would not work; her work is shown below. Look at Alexandria’s work and decide if you agree or disagree and why.
Answer Key/Rubric
- No
- True
- Missing side length is a leg that measures 21 inches
Acceptable response may include, but are not limited to:
- Try 20 and 29 as legs in Pythagorean theorem to see if the result is an integer value for “c”:
- Try 20 as a leg and 29 as the hypotenuse; 29 must be the hypotenuse as it is the larger of the two values:
- Acceptable responses may include, but are not limited to:
- Right triangles must work in the Pythagorean theorem:
- Longest length must always be entered in for the hypotenuse or “c” value
- These lengths would form a right triangle:
- Side lengths of 25 in, 16 in and 12 in will not produce a right triangle.
Acceptable responses may include, but are not limited to:
- Right triangles must work in the Pythagorean theorem:
- Longest length must always be entered in for the hypotenuse or “c” value
- These lengths would not form a right triangle:
- Alexandria is incorrect.
Acceptable answers may include, but are not limited to:
- 7, 24, and 25 will form a right triangle
- Alexandria entered the lengths into the wrong variables in the Pythagorean theorem
- Longest length must always be entered in for the hypotenuse or “c” value
- Correct work:
