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• CCSS.Math.Content.7.RP.A.3
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This lesson unit is intended to help you assess whether students recognize relationships of direct proportion and how well they solve problems that involve proportional reasoning. In particular, it is intended to help you identify those students who: use inappropriate additive strategies in scaling problems, which have a multiplicative structure; rely on piecemeal and inefficient strategies such as doubling, halving, and decomposition, and have not developed a single multiplier strategy for solving proportionality problems; and see multiplication as making numbers bigger, and division as making numbers smaller.

Subject:
Numbers and Operations
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Only Sharing Permitted
CC BY-NC-ND
Rating
4.5 stars

This lesson unit is intended to help you assess how well students are able to: solve simple problems involving ratio and direct proportion; choose an appropriate sampling method; and collect discrete data and record them using a frequency table.

Subject:
Education
Geometry
Measurement and Data
Ratios and Proportions
Material Type:
Assessment
Lecture Notes
Lesson Plan
Teaching/Learning Strategy
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Author:
http://map.mathshell.org/
04/26/2013
Only Sharing Permitted
CC BY-NC-ND
Rating
4.0 stars

This lesson unit is intended to help teachers assess how well students are able to interpret percent increase and decrease, and in particular, to identify and help students who have the following difficulties: translating between percents, decimals, and fractions; representing percent increase and decrease as multiplication; and recognizing the relationship between increases and decreases.

Subject:
Ratios and Proportions
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Only Sharing Permitted
CC BY-NC-ND
Rating
5.0 stars

This lesson unit is intended to help teachers assess whether students are able to: identify when two quantities vary in direct proportion to each other; distinguish between direct proportion and other functional relationships; and solve proportionality problems using efficient methods.

Subject:
Ratios and Proportions
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
3.25 stars

This task was developed by high school and postsecondary mathematics and design/pre-construction educators, and validated by content experts in the Common Core State Standards in mathematics and the National Career Clusters Knowledge & Skills Statements. It was developed with the purpose of demonstrating how the Common Core and CTE Knowledge & Skills Statements can be integrated into classroom learning - and to provide classroom teachers with a truly authentic task for either mathematics or CTE courses.

Subject:
Architecture and Design
Geometry
Ratios and Proportions
Material Type:
Activity/Lab
Assessment
Homework/Assignment
Lesson Plan
Provider:
National Association of State Directors of Career Technical Education Consortium
Provider Set:
Career Technical Education
03/05/2012
Only Sharing Permitted
CC BY-NC-ND
Rating
4.5 stars

This lesson unit is intended to help assess how well students are able to interpret and use scale drawings to plan a garden layout. This involves using proportional reasoning and metric units.

Subject:
Algebra
Geometry
Ratios and Proportions
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
04/26/2013
Conditional Remix & Share Permitted
CC BY-NC
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Math in Real Life (MiRL) supports the expansion of regional networks to create an environment of innovation in math teaching and learning.  The focus on applied mathematics supports the natural interconnectedness of math to other disciplines while infusing relevance for students.  MiRL supports a limited number of networked math learning communities that focus on developing and testing applied problems in mathematics.  The networks help math teachers refine innovative teaching strategies with the guidance of regional partners and the Oregon Department of Education.

Subject:
Mathematics
Material Type:
Homework/Assignment
Author:
Mark Freed
08/20/2020
Rating
0.0 stars

Getting Started

Type of Unit: Introduction

Prior Knowledge

Students should be able to:

Understand ratio concepts and use ratios.
Use ratio and rate reasoning to solve real-world problems.
Identify and use the multiplication property of equality.

Lesson Flow

This unit introduces students to the routines that build a successful classroom math community, and it introduces the basic features of the digital course that students will use throughout the year.

An introductory card sort activity matches students with their partner for the week. Then over the course of the week, students learn about the routines of Opening, Work Time, Ways of Thinking, Apply the Learning (some lessons), Summary of the Math, Reflection, and Exercises. Students learn how to present their work to the class, the importance of students’ taking responsibility for their own learning, and how to effectively participate in the classroom math community.

Students then work on Gallery problems, to further explore the resources and tools and to learn how to organize their work.

The mathematical work of the unit focuses on ratios and rates, including card sort activities in which students identify equivalent ratios and match different representations of an equivalent ratio. Students use the multiplication property of equality to justify solutions to real-world ratio problems.

Subject:
Mathematics
Material Type:
Unit of Study
Provider:
Pearson
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

In this problem-based learning module, students will explore the importance of sleep and the impact sleep has on their lives.  During the launch phase students can choose to record sleep data via downloaded apps or in a sleep diary.  Days 2 through 4 have students explore the concept and necessity of living organisms need to sleep. On day 2 the participants will take a series of cognitive test for baseline data.  Through station rotation and a jigsaw activity learners will become familiar with circadian rhythm and sleeping disorders. Finally, days 5-7 have the students produce a video or infographic to communicate the importance of sleep and its relationship to performance both physically and academically.

Subject:
English Language Arts
Life Science
Mathematics
Material Type:
Lesson Plan
Author:
Blended Learning Teacher Practice Network
07/27/2018
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
0.0 stars

Students will be using real-life energy use data to learn how to use spreadsheets and create graphs to better organize and view data. Discussions can then follow to analyze the data and explain the usage. Real rates are then provided, and students can use the electricity consumed data to create a utility bill for the consumer and compare the standard Residential Service charges to if the member were instead billed by the “Time of Use” rate.

Subject:
Measurement and Data
Numbers and Operations
Material Type:
Activity/Lab
Data Set
Lesson Plan
Primary Source
08/15/2017
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

In Part l of this two-part lesson, students use an interactive to place percent increase and percent decrease signs between monetary amounts to indicate the correct increase or decrease between the amounts of money. They must also place the correct decimal multiplier  between the two amounts to show what decimal to multiply the original amount by to get the final amount.Key ConceptsStudents apply understanding of percent change situations to systematize and generalize patterns in relating two amounts by multiplication.Goals and Learning ObjectivesIdentify the percent increase or percent decrease between two amounts.Identify the decimal multiplier that when multiplied by the original amount results in the final amount.Reason abstractly and quantitatively.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Provider:
Pearson
09/21/2015
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Students create equations, tables, and graphs to show the proportional relationships in sales tax situations.Key ConceptsThe quantities—price, tax, and total cost—can each be known or unknown in a given situation, but if you know two quantities, you can figure out the missing quantity using the structure of the relationship among them.If either the price or the total cost are unknown, you can write an equation of the form y = kx, with k as the known value (1 + tax), and solve for x or y.If the tax is the unknown value, you can write an equation of the form y = kx and solve for k, and then subtract 1 from this value to find the tax (as a decimal value).Building a general model for the relationship among all three quantities helps you sort out what you know and what you need to find out.Goals and Learning ObjectivesMake a table to organize known and unknown quantities in a sales tax problem.Write and solve an equation to find an unknown quantity in a sales tax problem.Make a graph to represent a table of values.Determine the unknown amount—either the price of an item, the amount of the sales tax, or the total cost—in a sales tax situation when given the other two amounts.

Subject:
Ratios and Proportions
Material Type:
Lesson Plan
Provider:
Pearson
09/21/2015
Educational Use
Rating
0.0 stars

In this lesson designed to enhance literacy skills, students examine how to use fractions to measure and help conserve freshwater resources.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media Common Core Collection
Author:
Walmart Foundation
WGBH Educational Foundation
08/23/2012
Unrestricted Use
CC BY
Rating
0.0 stars

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4. There are 180 students at Winthrop Middle School, where the ra...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics