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7.EE Modeling Hot and Cold

7.EE Modeling Hot and Cold

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This lesson unit is intended to help students judge the accuracy of two different approximations to a particular linear relationship. Students will compare two linear functions as approximations to the relationship between Celsius and Fahrenheit temperature and consider under what circumstances each of the approximations may be reasonable.

http://map.mathshell.org/download.php?fileid=1629

Subject:: Mathematics
Material Type:: Lesson
Author:: Kayla Martin
Date Added:: 01/19/2017

Drawing to Scale: Designing a Garden

Drawing to Scale: Designing a Garden

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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; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Steps to Solving Equations

Steps to Solving Equations

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This lesson unit is intended to help teachers assess how well students are able to: form and solve linear equations involving factorizing and using the distributive law. In particular, this unit aims to help teachers identify and assist students who have difficulties in: using variables to represent quantities in a real-world or mathematical problem and solving word problems leading to equations of the form px + q = r and p(x + q) = r.

Subject:: Algebra
Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Beginning Algebra Videos

Beginning Algebra Videos

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Visually searchable database of Algebra 1 videos. Click on a problem and watch the solution on YouTube. Copy and paste this material into your CMS. Videos accompany the open Elementary Algebra textbook published by Flat World Knowledge.

Subject:: Algebra
Material Type:: Lecture; Lecture Notes
Provider:: Individual Authors
Provider Set:: Individual Authors
Author:: John Redden
Date Added:: 04/29/2012

Using Positive and Negative Numbers in Context

Using Positive and Negative Numbers in Context

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This lesson unit is intended to help teachers assess how well students are able to understand and use directed numbers in context. It is intended to help identify and aid students who have difficulties in ordering, comparing, adding, and subtracting positive and negative integers. Particular attention is paid to the use of negative numbers on number lines to explore the structures: starting temperature + change in temperature = final temperature final temperature Đ change in temperature = starting temperature final temperature Đ starting temperature = change in temperature.

Subject:: Numbers and Operations
Material Type:: Assessment; Lesson Plan
Provider:: Shell Center for Mathematical Education; U.C. Berkeley
Provider Set:: Mathematics Assessment Project (MAP); Mathematics Assessment Project (MAP)
Date Added:: 04/26/2013

Math Memos

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MathMemos is a teacher space where adult educators share rich math problems, samples of student work, and practical suggestions for bringing the problems to life in the classroom. All math problems are:

(1) Open-ended, meaning that it might have more than one answer or there may be multiple solution pathways to solve the problem.

(2) The prompt does not clearly direct the students towards a procedural pathway in solving the problem.

(3) Students should be able to struggle productively with the problem for an extended period of time: they are student driven.

The problems include and integrate a wide range of math content and topics such as: Algebra, Geometry, Functions, Number & Quantity, and Statistics & Probability. You can also search for specific topics (fractions, systems of equations, equality) or problem solving strategies (guess & check, charts & tables, visual strategies, manipulatives).

The resources is designed so that teachers can be thoroughly connected to a problem before taking it into the classroom, by solving it themselves and looking at samples of student work that other teachers have posted online. Then, teachers are encouraged to reflect on how the problem played out in their own classroom and post their reflections.

This collection is an ongoing project with new problems being added as teachers submit new write-ups.

A PD Module is available for Professional Developers.

MathMemos was created by Tyler Holzer with a grant from the New York State Education Department Office of Adult Career and Continuing Education Services.

Subject:: Mathematics
Material Type:: Lesson Plan
Provider:: CollectEdNY
Author:: Celia Volbrecht; Chris Giorgio; Danielle Fridstrom; Daphne Carter McKnight; Eric Appleton; Patricia Helmuth; Randy Raux; Todd Orelli; Tyler Holzer
Date Added:: 09/21/2017

Popcorn Math

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In this lesson students will use a consumable manipulative to understand percent, fraction and decimal conversions. They will also collect data on a teacher produced spreadsheet while using a computer generated spreadsheet to make conversions.

Subject:: Mathematics
Material Type:: Lesson Plan
Provider:: University of North Carolina at Chapel Hill School of Education
Provider Set:: LEARN NC Lesson Plans
Author:: Henrietta Shepherd
Date Added:: 06/26/2001

Math, Grade 7, Putting Math to Work, Linear Measurements

Math, Grade 7, Putting Math to Work, Linear Measurements

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Students first create a diagram that represents the distance a ship drops in each of a series of locks. Students create their diagrams based on a video of an actual ship traveling through the locks. Students need to use contextual clues in order to determine the relative drops in each of the locks.Key ConceptsStudents are expected to use the mathematical skills they have acquired in previous lessons or in previous math courses. The lessons in this unit focus on developing and refining problem-solving skills.Students will:Try a variety of strategies to approaching different types of problems.Devise a problem-solving plan and implement their plan systematically.Become aware that problems can be solved in more than one way.See the value of approaching problems in a systematic manner.Communicate their approaches with precision and articulate why their strategies and solutions are reasonable.Make connections between previous learning and real-world problems.Create efficacy and confidence in solving challenging problems in a real-world setting.Goals and Learning ObjectivesRead and interpret maps, graphs, and diagrams.Solve problems that involve linear measurement.Estimate length.Critique a diagram.

Subject:: Algebra
Material Type:: Lesson Plan
Provider:: Pearson

Paper Drop Design Competition

Conditions of Use:

Read the Fine Print

Paper Drop Design Competition

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Using paper, paper clips and tape, student teams design flying/falling devices to stay in the air as long as possible and land as close as possible to a given target. Student teams use the steps of the engineering design process to guide them through the initial conception, evaluation, testing and re-design stages. The activity culminates with a classroom competition and scoring to evaluate how each team's design performed.

Subject:: Engineering; Physics
Material Type:: Activity/Lab
Provider:: TeachEngineering
Provider Set:: TeachEngineering
Author:: Howard Kimmel; John Carpinelli; Ronald Rockland
Date Added:: 10/14/2015

Light vs. Heat Bulbs

Conditions of Use:

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Light vs. Heat Bulbs

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Students measure the light output and temperature (as a measure of heat output) for three types of light bulbs to identify why some light bulbs are more efficient (more light with less energy) than others.

Subject:: Engineering; Physics
Material Type:: Activity/Lab
Provider:: TeachEngineering
Provider Set:: TeachEngineering
Author:: Jan DeWaters; Susan Powers
Date Added:: 09/18/2014

Grade 7 Module 3: Expressions and Equations

Grade 7 Module 3: Expressions and Equations

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This module consolidates and expands upon students understanding of equivalent expressions as they apply the properties of operations to write expressions in both standard form and in factored form. They use linear equations to solve unknown angle problems and other problems presented within context to understand that solving algebraic equations is all about the numbers. Students use the number line to understand the properties of inequality and recognize when to preserve the inequality and when to reverse the inequality when solving problems leading to inequalities. They interpret solutions within the context of problems. Students extend their sixth-grade study of geometric figures and the relationships between them as they apply their work with expressions and equations to solve problems involving area of a circle and composite area in the plane, as well as volume and surface area of right prisms.

Subject:: Algebra
Material Type:: Module
Provider:: New York State Education Department
Provider Set:: EngageNY
Date Added:: 11/15/2013

Conditions of Use:

Read the Fine Print

Garbology

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See how Joshua and Sean sort garbage at the school and how you can use Venn Diagrams to sort things into sets.

Subject:: Measurement and Data
Material Type:: Activity/Lab; Game; Interactive
Provider:: PBS LearningMedia
Provider Set:: Teachers' Domain
Date Added:: 06/10/2014

Math, Grade 7

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Four full-year digital course, built from the ground up and fully-aligned to the Common Core State Standards, for 7th grade Mathematics. Created using research-based approaches to teaching and learning, the Open Access Common Core Course for Mathematics is designed with student-centered learning in mind, including activities for students to develop valuable 21st century skills and academic mindset.

Subject:: Mathematics
Material Type:: Full Course
Provider:: Pearson
Date Added:: 10/06/2016

Math, Grade 7, Putting Math to Work, Analyzing Formulas & How Variables Relate

Math, Grade 7, Putting Math to Work, Analyzing Formulas & How Variables Relate

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Students explore the relationship between the flapping frequency, the amplitude, and the cruising speeds of a variety of animals to calculate their Strouhal numbers.Key ConceptsStudents are expected to use the mathematical skills they have acquired in previous lessons or in previous math courses. The lessons in this unit focus on developing and refining problem-solving skills. Students will:Try a variety of strategies to approaching different types of problems.Devise a problem-solving plan and implement their plan systematically.Become aware that problems can be solved in more than one way.See the value of approaching problems in a systematic manner.Communicate their approaches with precision and articulate why their strategies and solutions are reasonable.Make connections between previous learning and real-world problems.Create efficacy and confidence in solving challenging problems in a real-world setting.Goals and Learning ObjectivesAnalyze the relationship between the variables in an equation.Write formulas to show how variables relate.Communicate findings using multiple representations including tables, charts, graphs, and equations.

Subject:: Algebra
Material Type:: Lesson Plan
Provider:: Pearson

Guess My Number

Conditions of Use:

No Strings Attached

Guess My Number

Rating

This problem asks the students to represent a sequence of operations using an expression and then to write and solve simple equations. The problem is posed as a game and allows the students to visualize mathematical operations. It would make sense to actually play a similar game in pairs first and then ask the students to record the operations to figure out each other's numbers.

Subject:: Mathematics; Algebra
Material Type:: Activity/Lab
Provider:: Illustrative Mathematics
Provider Set:: Illustrative Mathematics
Author:: Illustrative Mathematics
Date Added:: 08/07/2012

Conditions of Use:

No Strings Attached

Shrinking

Rating

This word problem is based estimating the height of a person over time. Note that there is a significant amount of rounding in the final answer. This is because people almost never report their heights more precisely than the closest half-inch. If we assume that the heights reported in the task stem are rounded to the nearest half-inch, then we should report the heights given in the solution at the same level of precision.

Subject:: Mathematics; Algebra
Material Type:: Activity/Lab
Provider:: Illustrative Mathematics
Provider Set:: Illustrative Mathematics
Author:: Illustrative Mathematics
Date Added:: 05/01/2012

CTE Agribusiness & Food Products and Processes: Corn & Oats

CTE Agribusiness & Food Products and Processes: Corn & Oats

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This task was developed by high school and postsecondary mathematics and agriculture sciences 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:: Ratios and Proportions
Material Type:: Activity/Lab; Lesson Plan
Provider:: National Association of State Directors of Career Technical Education Consortium
Provider Set:: Career Technical Education
Date Added:: 07/26/2012

Frog Hops, Part 2

Conditions of Use:

Read the Fine Print

Frog Hops, Part 2

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In this video from Cyberchase, the CyberSquad must figure out the new input/output pattern on Hackerë_í__ larger cyberfrog. ***Access to Teacher's Domain content now requires free login to PBS Learning Media.

Subject:: Mathematics; Algebra
Material Type:: Lecture
Provider:: PBS LearningMedia
Provider Set:: PBS Learning Media: Multimedia Resources for the Classroom and Professional Development; Teachers' Domain
Author:: U.S. Department of Education; WNET
Date Added:: 07/11/2008

Math, Grade 7, Putting Math to Work

Math, Grade 7, Putting Math to Work

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Putting Math to Work

Type of Unit: Problem Solving

Prior Knowledge

Students should be able to:

Solve problems involving all four operations with rational numbers.
Write ratios and rates.
Write and solve proportions.
Solve problems involving scale.
Write and solve equations to represent problem situations.
Create and interpret maps, graphs, and diagrams.
Use multiple representations (i.e., tables, graphs, and equations) to represent problem situations.
Calculate area and volume.
Solve problems involving linear measurement.

Lesson Flow

Students apply and integrate math concepts they have previously learned to solve mathematical and real-world problems using a variety of strategies. Students have opportunities to explore four real-world situations involving problem solving in a variety of contexts, complete a project of their choice, and work through a series of Gallery problems.

First, students utilize their spatial reasoning and visualization skills to find the least number of cubes needed to construct a structure when given the front and side views. Then, students select a project to complete as they work through this unit to refine their problem-solving skills. Students explore the relationship between flapping frequency, amplitude, and cruising speed to calculate the Strouhal number of a variety of flying and swimming animals. After that, students explore the volume of the Great Lakes, applying strategies for solving volume problems and analyzing diagrams. Next, students graphically represent a virtual journey through the locks of the Welland Canal, estimating the amount of drop through each lock and the distance traveled. Students have a day in class to work on their projects with their group.

Then, students have two days to explore Gallery problems of their choosing. Finally, students present their projects to the class.

Subject:: Mathematics
Material Type:: Unit of Study
Provider:: Pearson

Math, Grade 7, Putting Math to Work, Interpreting Graphs & Diagrams

Math, Grade 7, Putting Math to Work, Interpreting Graphs & Diagrams

Rating

How much water is in the Great Lakes? Students read and interpret a diagram that shows physical features of the Great Lakes and answer questions based on the diagram. They find the volume of each of the Great Lakes, as well as all five lakes combined, and make a bar graph to represent the volumes.Key ConceptsStudents are expected to use the mathematical skills they have acquired in previous lessons or in previous math courses. The lessons in this unit focus on developing and refining problem-solving skills.Students will:Try a variety of strategies to approaching different types of problems.Devise a problem-solving plan and implement their plan systematically.Become aware that problems can be solved in more than one way.See the value of approaching problems in a systematic manner.Communicate their approaches with precision and articulate why their strategies and solutions are reasonable.Make connections between previous learning and real-world problems.Create efficacy and confidence in solving challenging problems in a real-world setting.Goals and Learning ObjectivesRead and interpret graphs and diagrams.Solve problems involving volume.

Subject:: Geometry
Material Type:: Lesson Plan
Provider:: Pearson