MAT-HS Targeted Standards (A) Concept: Algebra (CED) Domain: Creating Expressions Cluster: Create equations that describe numbers or relationships

MAT-HS.A-CED.01.g Create exponential equations

Student Learning Targets:

Knowledge Targets

I can

Reasoning Targets

I can

Skills (Performance) Targets

I can

Product Targets

I can

Proficiency Scale

Score

Description

Sample Activity

4.0

(advanced)

In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations.

3.5

In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success.

3.0

(proficient)

The student can:

create exponential equations in one variable and use them to solve problems.

The student exhibits no major errors or omissions.

During normal breathing, about 12% of the air in the lungs is replaced after one breath. Write an exponential decay model for the amount of the original air left in the lungs if the initial amount of air in the lungs is 500 mL. How much of the original air is present after 240 breaths?

The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles?

2.5

The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content).

2.0

(progressing)

There are no major errors or omissions regarding the simpler details and processes as the student can:

recognize and recall specific terminology such as:

Exponential

Decay

Growth

Rate

Equation

Annually

Semi-Annually

Quarterly

Compounded

create the equation; however, is unable to solve.

solve a quadratic equation.

However, the student exhibits major errors or omissions regarding the more complex ideas and processes.

Solve:

50 = 2(3)^{x}

1.5

The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content).

1.0

(beginning)

With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content).

0.5

With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content).

0.0

Even with help, the student demonstrates no understanding or skill.