# Recipes & Ratios - DRAFT

Design Guide

Designers for Learning - Adult Learning Zone

## Part 1: Lesson Description

### Abstract

Proportional relationships are everywhere. They are used to compare professional athletes and to help shoppers get the “best bang for their buck” at the grocery store. They help us build models and designs and are used in many business applications. This lesson plan introduces proportional relationships, ratios and unit rates at the grade 6/7 (C) level and requires adult learners to apply ratios in the context of cooking. Learners will need learn to research basic information and be challenged to present their “final recipe” creatively.

### Learner Audience / Primary Users

This lesson is intended for adult learners with minimal English language competence who are interested in learning math in a useful context.

### Educational Use

• Curriculum / Instruction
• Assessment

English

### Material Type

• Instructional Material
• Lecture Notes
• Assessment
• Assessment Rubic

### Keywords

• Designers for Learning
• Ratios
• Proportional Relationships
• Recipes
• Unit Rates
• Problem-based Learning
• Gathering Information

1-2 hours

### Targeted Skills

Key skills covered in this lesson include:

• Problem-solving using proportional relationships
• Basic researching

### Learning Objectives

By the end of this lesson, the learner should be able to:

• Gather information from provided sources to answer specific close-ended questions (from CCR, W.1.8)
• Identify ratios and briefly describe the concept of a ratio using an example, e.g., a ratio of 3:4 means that for every 3 of one thing, there is 4 of another (CCR, 6.RP.1)
• Identify unit rates a/b can be associated with a ratio a:b with b ≠ 0 (CCR, 6.RP.2)
• Use proportional relationships to solve simple real-world problems (CCR, 6.RP.3).

### College & Career Readiness Standards (CCRS) Alignment

• Subject: CCRS Mathematics
• Domain:Ratios and Proportional Relationships
• Standard Description: “Understand ratio concepts and use ratio reasoning to solve problems.” (CCRS 6.RP), specifically: “Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.” (6.RP.1); “Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of$5 per hamburger.”21” (6.RP.2); “Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. (6.RP.3),”; and, “Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?” (6.RP.3b)
• Subject: CCRS English Language Arts / Literacy
• Strand: Writing
• Standard Description:”Gather relevant information from multiple print and digital sources, assess the credibility and accuracy of each source, and integrate the information while avoiding plagiarism.” (CCR Anchor 8, Writing), specifically: “With guidance and support, recall information from experiences or gather information from provided sources to answer a question.” (W.1.8)

### Prior Knowledge

Learners should be basic English skills and numeracy.

### Required Resources

Computers and Internet access

• Lesson Author: Carolyn Wilson

## Part 2: Lesson

### Instructional Strategies and Activities

1. Warm-Up and Introduction

Time: 5-10 minutes

Ratio Brainstorm: Where and when they you used or seen ratios being used in the “real-world”? Can you think of some examples?Check out this PowerPoint Presentation that introduces Ratios, Unit Rates and the language of proportions by highlighting different “real-world” situations where ratios are used.

2. Presentation / Modeling / Demonstration

Time: 20-30 minutes

Here is a great introductory video:

These videos defines ratios and unit rates and also introduces how to solve problems using proportional relationships. “Real-world” examples are applied to bring ratios into context as a useful skill.

If you are not familiar with using the internet for on-line queries (or data searches), one tool you can use is Google. If not, check out: How to Use Google and here is a link to Google here: Google Search

3. Guided Practice

Time: 10-15 minutes

Please try these short questions to apply your ratio knowledge. Feedback will be provided!

4. Evaluation/Application

Time: 40-60 minutes

This final task is a problem-based learning activity. This will also serve as a final assessment tool allowing for application of new skills.

Ratio

Unit Rate

Proportion

## Part 3: Supplementary Resources & References

### References

None yet

How to Write References

The reference section provides information about any source you cite in your lesson. Your citations and references should match, meaning each source you cite in must appear in your reference list, and each reference should be cited in your lesson. As a guideline, provide the citations and reference list in American Psychological Association (APA) style. For APA style guidance, see https://owl.english.purdue.edu/owl/resource/560/05/.

“The [audio/video] of DESCRIPTION was created by PERSON(s) of INSTITUTION(s)
for PROJECT and published at URL. This [audio/video] is copyrighted
and is not licensed under an open license. Embedded as permitted by TERMS.”

• Public Domain Content: Materials no longer covered by copyright (e.g., photos from before 1923 in the US, and before 1946 in Canada, provided no copyright was registered in the US.)

“Content created (or published) by PERSON(s) or INSTITUTION(s) at URL.”