Grade 08 Mathematics - EC: M08.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

8th Grade

Course, Subject

Mathematics

Related Academic Standards / Eligible Content

M08.B-E.1.1.4 M08.B-E.1.1.4

Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Express answers in scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology (e.g., interpret 4.7EE9 displayed on a calculator as 4.7 × 10^9).

Activities

Solve. Write your answers in scientific notation.

3.2 x 10⁵ + 4.7 x 10⁷

1.5 x 10¹⁴ – 2.6 x 10¹²

(1.8 x 10⁴)(2.2 x 10³)

The distance to drive from Philadelphia, PA to San Diego, CA is about 4.4 x 10³ units. What is the best choice for the units this measurement is given in: cm, m, or km? Explain.

If the mass of one neutron is about 1.7 x 10^-27 kg, what is the mass of 5 neutrons? Show your work.

The edge of a cube is 2.8 x 10^-2 meters. What is the volume of the cube? Write your answer in scientific notation. Show or explain your work.

Answer Key/Rubric

4.732 x 10⁷

1.474 x 10¹⁴

3.96 x 10⁷

1.68 x 10⁹

Acceptable responses may include, but are not limited to:

Km is the best choice for the units because Philadelphia and San Diego are very far away from one another and 4.4 x 10³ means 4,400. 4,400 km is the most reasonable choice.

8.5 x 10^-27 kg.
Acceptable work may include, but is not limited to:

1.7 × 5 = 8.5

2.1952 x 10^-5Acceptable work/explanation may include, but is not limited to: