## Task Teacher Guide

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

### In This Task…

Students will determine how long in weeks that the sunflower has been planted in the garden.

### Intentionality…

In this task, students will determine the total of weeks that the sunflower has been planted in Gabriella’s garden. In this context, the total height of the sunflower, the height when planted, and the rate (inches per week) is known. This context can be represented algebraically. In order to solve, students will have to remove the height when planted, and then use quotative division to determine the number of weeks. This context is quotative in nature.

Some of the big ideas that may emerge through this task include:

- There are two types of division;
- Quotative division is when the total quota is known (the dividend), and the number per group or the rate (the divisor) is known;
- Quotative division reveals the number of copies or iterations of a rate that can be derived from the overall quota (the dividend);
- In quotative division, the dividend and the divisor have the same unit;
- The dividend from any division sentence can be decomposed into smaller parts to allow for friendlier division by the divisor. This strategy is known as partial quotients. (i.e.: 85 ÷ 5 = 45 ÷ 5 + 40 ÷ 5 = 9 + 8 = 17);
- Division is the inverse operation of multiplication;

Variables are used to represent changing or unknown quantities; - When solving an equation where the coefficient of the unknown variable is not equal to 1, division is required to determine the value of the unknown variable and the context of the problem determines which type of division is required.
- A two-step equation is an algebraic equation that takes you two steps to solve.

## Spark

### What Do You Notice? What Do You Wonder?

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

### Prediction: Prompt

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

## Sense Making

### Crafting A Productive Struggle: Prompt

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

## During Moves

### While Students Are Productively Struggling…

*Login/Join*

### Student Approach #1: Making Groups of Three

*Login/Join*

### Student Approach #2: A linear model and skip counting

*Login/Join*

### Student Approach #3: A number line and partial quotients

*Login/Join*

## Next Moves

### Consolidation: Making Connections

*Login/Join*

### Reveal

*Login/Join*

### Reflect

Provide students an opportunity to reflect on their learning by offering these consolidation prompts to be completed independently.

**Consolidation Prompt #1:**

*Login/Join*

**Consolidation Prompt #2:**

*Login/Join*

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**

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

## 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.

### What do you notice? What do you wonder?

### Spark Image

### Prediction: Prompt

**Based on the information provided, what variety of sunflower do you believe Gabriella planted? **

**Justify your answer.**

Skyscraper Average Height: 144 inches

American Giant Average Height: 120 inches

Giant Sungold Average Height: 72 inches

### Struggle Prompt

This Giant Sungold sunflower was planted in Gabriella’s garden. It was four inches tall when she bought it. The farmer indicated that she should expect this variety of sunflower to grow an additional 3 inches every week until it reaches its maximum height in approximately 24 weeks.

Explain that this information can be represented as an algebraic expression to predict how tall Gabriella’s sunflower will be at the end of each week in her garden.

Use the information about Gabriella’s sunflower to write an expression.

### Struggle Prompt #2

Gabriella’s sunflower is now 40 inches tall.This information can be represented as an equation:w(3) + 4 = 40How many weeks has it been planted?

### Consolidation Prompt #1

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

### Consolidation Prompt #2

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

**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