## Task Teacher Guide

Be sure to read the teacher guide prior to running the task. When youâ€™re ready to run the task, use the tabs at the top of the page to navigate through the lesson.

### In This Purposeful Practiceâ€¦

Students will demonstrate the concepts and skills that they have developed through this context and learning experience.Â

### Intentionalityâ€¦

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

- Percent is a comparison measured out of 100;
- Decreasing by a percentage will lower the original value.
- Increasing by a percentage will increase the original value.
- A percentage decrease, followed by a percentage increase of the same value will result in a change of value.
- Reducing a value by x% is the same as retaining (100-x)% of the value.
- Increasing a value by y% is the same as (100+y)% of the original value..
- To solve percent related problems we can use the following strategies:
- Analyze Between and Within Ratios (Scaling Up or Down);
- Find a Unit Rate
- Using a scale: y = kx.

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

- I will find percent of a quantity as a rate per 100;
- I will use ratio and rate reasoning to solve real-world and mathematical problems
- I will use proportional relationships to solve percent problems;

Students might write and/or model their responses 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 Number Talk

### Overview of Visual Math Talk

Present the various prompts below one at a time. For each prompt ask students to determine the cost of the bear after it passess through each price changer.

Model a few student solutions along a double number line for each price change. Reinforce the idea to draw a new number line after each change as the original value has changed.

**Prompts:**

**$45 increases by 30%, decreases by 15%**

**$? decreases by 20% and the final price is $65**

**$112 increases by 35%, decreases by 12%**

### Visual Math Talk Prompt #1

Show students the following visual math talk prompt and be prepared to pause the video where indicated:

Then ask students:

**What is the price of the bear after it passes through all price changes?**

What is the price of the bear after it passes through all price changes?

### Visual Math Talk Prompt #2

Show students the following visual math talk prompt and be prepared to pause the video where indicated:

Then ask students:

What is the original price of the bear?

Give students some time to work through some possibilities and share them with their neighbours.Â

### Visual Math Talk Prompt #3

**Login/Join to access one (1) additional Math Talk Prompt as well as the Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem-based units.**

## Assessment

### Assessment Considerations…

**Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.**

### Assessment: Percent As A Ratio & Problem Solving

**Login/Join to access one (1) additional Math Talk Prompt as well as the Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem-based units.**

### Considerations to Promote Student Growth

**Login/Join to access one (1) additional Math Talk Prompt as well as the Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem-based units.**

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.

## Resources and Downloads

## Lesson Tip Sheet

Download the lesson plan in PDF format so you can keep it handy and share with colleagues.

## Videos & Images

Download the videos, images, and related media files to your computer to avoid streaming.

## Keynote Slides

Download in Apple Keynote format to avoid streaming video and run the lesson smoothly.

## PowerPoint Slides

Download in Microsoft PowerPoint format to avoid streaming video and run the lesson smoothly.

## Printable Handout

Download/Edit the handout so you can keep it handy and share with colleagues.

## 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

### Assessment Considerations…

**Login/Join to access the entire Teacher Guide, downloadable slide decks and printable handouts for this lesson and all problem based units.**

### Assessment: Percent As A Ratio & Problem Solving

### Considerations to Promote Student Growth

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.