## Task Teacher Guide

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### Through This Assessment Opportunity…

Students will demonstrate the concepts and skills related to patterns with exponents that they have developed through this contextual learning experience.

### Intentionality…

The purpose of this assessment is for students to demonstrate their understanding of the following big ideas.

- Patterns can be extended because they are repetitive by nature.
- Pattern rules are generalizations about a pattern, and they can be described in words.
- One common use of patterns is predicting future events.
- A pattern can be extended to make a prediction.
- For far predictions, calculations are required for efficiency.
- An expression that represents repeated multiplication of the same factor is called a power.
- Exponential growth is a pattern of data that shows greater increases with passing time.
- Exponential growth is a pattern that increases at a rate proportional to its current value.
- Exponential decay is a pattern that decreases at a rate proportional to its current value.
- Exponential growth is a pattern of data that shows greater increases with passing time.
- Exponential decay occurs when the base is greater than 0 and less than 1.
- In a power, the base number is defined as a number which is multiplied by itself.
- In a power, the exponent represents the number of times the base number is multiplied.
- Graphical representations of exponential growth appear as a curved line.

The independent assessment will allow students to demonstrate concepts and skills related to the following learning goals:

- I will make predictions about patterns that show exponential growth or decay.
- I will determine the initial value, the base and the unit for the exponent.
- I will extend the patterns.
- I will represent the patterns.
- I will describe the pattern rules in words.
- I will generate a general term based on the pattern (an expression).
- I will solve problems involving exponents.

Students might write and/or model their answers independently. Students can also be interviewed by their teacher.

An alternative assessment opportunity should be offered if this tool will not successfully capture what the student knows, understands or can do.

## Visual Math Talk

### String of Related Problems

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### Visual Number Talk Prompt #1

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### Visual Number Talk Prompt #2

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### Visual Number Talk Prompt #3

### Assessment Considerations…

### Assessment: Patterns with exponential growth and decay

**Question #1:**

**Question #2:**

**Question #3:**

**Question #4:**

**Question #5:**

We suggest collecting this reflection as an additional opportunity to engage in the formative assessment process to inform next steps for individual students as well as how the whole class will proceed.

**Download Editable/Printable Handout**

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### Considerations to Promote Student Growth

## Resources and Downloads

## Lesson Tip Sheet

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## Printable Handout

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## Explore The Entire Unit of Study

This Make Math Moments Task was designed to spark curiosity for a multi-day unit of study with built in purposeful practice, and extensions to elicit and emerge mathematical models and strategies.

Click the links at the top of this task to head to the other related lessons created for this unit of study.

### Visual Math Talk Prompt #1

### Visual Math Talk Prompt #2

### Visual Math Talk Prompt #3

### Question #1

### Question #2

### Question #3

### Question #4

### Question #5

**Download Editable/Printable Handout**

Become a member to access purposeful practice to display via your projector/TV, download the PDF to upload to your LMS and/or print for students to have a physical copy