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# Mathematics

## Yummy M&Ms - Multiplicative Comparison Intro

Before/Engage

### Overview

Students will work to solve an open-ended multiplicative comparison task. They can use manipulatives as a hands-on introduction to the topic.  They will need to write equations and solve a word problem involving multiplicative comparison.

## Whole Up, Let's Break Up, With Circles and Rectangles!

### Phase

During/Explore/Explain

### Overview

In this activity, the teacher will begin with the video, Partition Shapes Into Equal Shares. The teacher will review the definition of partition, whole, equal shares, halves, thirds, and fourths. The teacher will use paper plates, construction paper, and card stock to demonstrate partitioning the whole into equal shares of halves, thirds, and fourths.

This resource was created in partnership with Dothan City Schools.

## Who is Correct?

Before/Engage

### Overview

In the warm-up activity, students will read about Gavin and Chase, two students who disagree when they compare two 3-digit numbers. The students will decide who is correct and defend their thinking using their knowledge of place value and appropriate academic vocabulary.

## What's For Dinner? Discovering Your Choices!

Before/Engage

### Overview

In this activity, students will use a teacher-provided menu and generate a list of a three-course meal with all possible combinations containing one appetizer, one main course, and one dessert.  The students will work individually to start the lesson and then move to partner work. The students will work with a partner to determine the best way to create a complete list and answer follow-up questions.  Finally, the students will be asked to use the Fundamental Counting Principle to determine the number of outcomes instead of making a list. This learning activity is intended to be a Before Activity prior to a lesson on the Fundamental Counting Principle.

## Vector Components from Initial and Terminal Points

### Phase

During/Explore/Explain

### Overview

In this learning activity, students will learn how to find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point. This learning activity can be used as a stand-alone activity or a core lesson activity. Corresponding activities can be found in the Notes or Recommendations section.

## Using Initial and Terminal Points to Find the Components of a Vector Represented Graphically

Before/Engage

### Overview

In this learning activity, students will learn how to find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point. The students will be asked to consider the vector in the diagram of the teaching video. They will answer the following questions: What are the coordinates of the terminal point? What are the coordinates of the initial point? And what are the components of the vector? This learning activity can be used as a stand-alone activity or an introductory activity.

## The Patio

### Phase

During/Explore/Explain

### Overview

In this authentic learning task students are designing a rectangular patio using 40 patio stones. This task will have many answers, but students will choose the design they like best. Students will use that design to determine the perimeter in part two of the problem.

## Slides & Pies - Multiplicative Comparison Lesson

### Phase

During/Explore/Explain

### Overview

Students will take a deeper dive into word problems to gain a firm understanding of multiplicative comparison.  They will compare problems using additive vs. multiplicative comparisons and problems where either the set or the product is unknown.  The activity also includes a matching game for students to match equations, models, and comparison statements.

## Same Area, Same Perimeter?

Before/Engage

### Overview

This learning activity is designed to activate students thinking about perimeter and area. Students will work together to answer writing prompts about a rectangle that has an area of 36 inches.

## Recursive or Explicit, Why Not Both? Exit Ticket

### Phase

After/Explain/Elaborate

### Overview

This learning activity is an assessment activity that uses an exit ticket to ask students to write both a recursive and explicit formula for a simple application problem.