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Interpreting DistanceĐTime Graphs
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This lesson unit is intended to help teachers assess how well students ... More

This lesson unit is intended to help teachers assess how well students are able to interpret distanceĐtime graphs and, in particular, to help you identify students who: interpret distanceĐtime graphs as if they are pictures of situations rather than abstract representations of them; and have difficulty relating speeds to slopes of these graphs. Less

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Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
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Modeling: Making Matchsticks
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This lesson unit is intended to help you assess how well students ... More

This lesson unit is intended to help you assess how well students are able to: interpret a situation and represent the variables mathematically; select appropriate mathematical methods; interpret and evaluate the data generated; and communicate their reasoning clearly. Less

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Subject:
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
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Solving Real-Life Problems: Baseball Jerseys
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This lesson unit is intended to help teachers assess how well students ... More

This lesson unit is intended to help teachers assess how well students are able to: interpret a situation and represent the variables mathematically; select appropriate mathematical methods to use; explore the effects of systematically varying the constraints; interpret and evaluate the data generated and identify the break-even point, checking it for confirmation; and communicate their reasoning clearly. Less

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Subject:
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
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Evaluating Statements About Probability
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This lesson unit addresses common misconceptions relating to probability of simple and ... More

This lesson unit addresses common misconceptions relating to probability of simple and compound events. The lesson will help you assess how well students understand concepts of: Equally likely events; randomness; and sample sizes. Less

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Subject:
Statistics and Probability
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
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CC Tasks: Aussie Fir Tree (HS Algebra)
Conditions of Use:
No Strings Attached
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Task Description: This task asks students to recognize geometric patterns, visualize and ... More

Task Description: This task asks students to recognize geometric patterns, visualize and extend the pattern, generate a non-linear sequence, develop and algebraic generalization that models the growth of a quadratic function and verify the inverse relationship of the quadratic relationship. The Aussie Fir Tree task is a culminating task for a 2-3 week unit on algebra that uses the investigation of growing patterns as a vehicle to teach students to visualize, identify and describe real world mathematical relationships. Students who demonstrate mastery of the unit are able to solve the Aussie Fir Tree task in one class period. Less

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Subject:
Algebra
Material Type:
Assessments
Lesson Plans
Provider:
The New York City Department of Education
Provider Set:
New York City Department of Education
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Bloodstain Pattern Doesn't Lie......
Conditions of Use:
Read the Fine Print
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Students will formulate a hypothesis about the relationship (linear, direct, indirect, etc.) ... More

Students will formulate a hypothesis about the relationship (linear, direct, indirect, etc.) between the distance a drop of blood falls and the diameter of the splatter it makes. To test their hypothesis, the students will work collaboratively to make blood droplets, on paper, from different heights. After graphing droplet diameter and height using a spreadsheet program, individual students will evaluate their hypothesis. Students will use their graphed data to: 1) write an equation for the mathematical relationship of droplet diameter and height. 2) interpolate the height from which a blood droplet made by someone else was dropped. The students will compare data from different groups to determine possible sources for differences. Less

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Subject:
Measurement and Data
Physics
Material Type:
Lesson Plans
Provider:
Alabama Learning Exchange (ALEX)
Provider Set:
ALEX
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Estimating: Counting Trees
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This lesson unit is intended to help you assess how well students ... More

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. Less

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Subject:
Education
Geometry
Measurement and Data
Ratios and Proportions
Material Type:
Assessments
Instructional Material
Lecture Notes
Lesson Plans
Reference
Teaching and Learning Strategies
Provider:
Florida Center for Research in Science, Technology, Engineering, and Mathematics
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
iCPALMS: A Standards-based K-12 Resources and Tools Pathway
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Author:
http://map.mathshell.org/
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100,000,000 Guinea Pigs : The Dangers of Consumption
Conditions of Use:
Read the Fine Print
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In 1927, responding to the seemingly overpowering claims of advertisers and mass ... More

In 1927, responding to the seemingly overpowering claims of advertisers and mass marketers, engineer Frederick Schlink and economist Stuart Chase published Your Money's Worth, which argued for an "extension of the principle of buying goods according to impartial scientific tests rather than according to the fanfare and triumphs of higher salesmanship." Your Money's Worth became an instant best-seller, and the authors organized Consumers' Research, a testing bureau that provided information and published product tests in a new magazine, Consumers' Research Bulletin. The 1929 stock market crash heightened suspicion of consumer capitalism, and the magazine had 42,000 subscribers by 1932. In 1933, Schlink and Arthur Kallet (executive secretary of Consumers' Research) published 100,000,000 Guinea Pigs: Dangers in Everyday Foods, Drugs, and Cosmetics. The book struck a responsive chord in depression-era America--it went through thirteen printings in its first six months and became one of the best-selling books of the decade. The book's first chapter ("The Great American Guinea Pig"), gave a flavor of their vigorous arguments. Less

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Subject:
U.S. History
Material Type:
Primary Source
Readings
Provider:
American Social History Project / Center for History Media and Learning
Provider Set:
Many Pasts (CHNM/ASHP)
Author:
Center for History and New Media/American Social History Project
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Increasing and Decreasing Quantities by a Percent
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This lesson unit is intended to help teachers assess how well students ... More

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. Less

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Subject:
Ratios and Proportions
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
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Proportion and Non-proportion Situations
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This lesson unit is intended to help teachers assess whether students are ... More

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. Less

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Subject:
Ratios and Proportions
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
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Developing a Sense of Scale
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This lesson unit is intended to help you assess whether students recognize ... More

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. Less

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Subject:
Numbers and Operations
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
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Classifying Solutions to Systems of Equations
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This lesson unit is intended to help teachers assess how well students ... More

This lesson unit is intended to help teachers assess how well students are able to classify solutions to a pair of linear equations by considering their graphical representations. In particular, this unit aims to help teachers identify and assist students who have difficulties in: using substitution to complete a table of values for a linear equation; identifying a linear equation from a given table of values; and graphing and solving linear equations. Less

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Subject:
Algebra
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
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Steps to Solving Equations
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This lesson unit is intended to help teachers assess how well students ... More

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. Less

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Subject:
Algebra
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
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Lines and Linear Equations
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This lesson unit is intended to help teahcers assess how well students ... More

This lesson unit is intended to help teahcers assess how well students are able to interpret speed as the slope of a linear graph and translate between the equation of a line and its graphical representation. Less

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Subject:
Algebra
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Less
CC Tasks: The Cycle Shop (HS Algebra)
Conditions of Use:
No Strings Attached
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Task Description: The tasks in the unit access the full range of ... More

Task Description: The tasks in the unit access the full range of Depth of Knowledge including Recalling and Recognizing, Using Procedures, Explaining and Concluding and Making Connections, Extensions. This packet contains a curriculum-embedded CCLS aligned task and instructional supports. The task is embedded in a 4-5 week unit on Reasoning with Equations and Inequalities. Less

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Subject:
Algebra
Material Type:
Assessments
Lesson Plans
Provider:
The New York City Department of Education
Provider Set:
New York City Department of Education
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Solving Linear Equations in One Variable
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This lesson unit is intended to help teachers assess how well students ... More

This lesson unit is intended to help teachers assess how well students are able to: solve linear equations in one variable with rational number coefficients; collect like terms; expand expressions using the distributive property; and categorize linear equations in one variable as having one, none, or infinitely many solutions. It also aims to encourage discussion on some common misconceptions about algebra. Less

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Subject:
Algebra
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
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Repeating Decimals
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This lesson unit is intended to help teachers assess how well students ... More

This lesson unit is intended to help teachers assess how well students are able to: translate between decimal and fraction notation, particularly when the decimals are repeating; create and solve simple linear equations to find the fractional equivalent of a repeating decimal; and understand the effect of multiplying a decimal by a power of 10. Less

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Subject:
Algebra
Ratios and Proportions
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
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Using Dimensions: Designing a Sports Bag
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This lesson unit is intended to help you assess how well students ... More

This lesson unit is intended to help you assess how well students are able to: recognize and use common 2D representations of 3D objects and identify and use the appropriate formula for finding the circumference of a circle. Less

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Subject:
Education
Mathematics
Geometry
Material Type:
Assessments
Lesson Plans
Reference
Provider:
Florida Center for Research in Science, Technology, Engineering, and Mathematics
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
iCPALMS: A Standards-based K-12 Resources and Tools Pathway
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Author:
http://map.mathshell.org/
Less
The Pythagorean Theorem: Square Areas
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This lesson unit is intended to help teachers assess how well students ... More

This lesson unit is intended to help teachers assess how well students are able to: use the area of right triangles to deduce the areas of other shapes; use dissection methods for finding areas; organize an investigation systematically and collect data; deduce a generalizable method for finding lengths and areas (The Pythagorean Theorem.) Less

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Subject:
Geometry
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
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Applying Angle Theorems
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This lesson unit is intended to help you assess how well students ... More

This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, it will support you in identifying and helping students who have the following difficulties: Solving problems relating to using the measures of the interior angles of polygons; and solving problems relating to using the measures of the exterior angles of polygons. Less

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Subject:
Geometry
Material Type:
Assessments
Lesson Plans
Provider:
Shell Center for Mathematical Education
University of California Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Mathematics Assessment Project (MAP)
Less
2002 gnirpS ,ngiseD gnireenignE liviC ot noitcudortnI
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.)310.1( tcejbus ngised enotspac eht dna )150.1 ,140.1 ,130.1( stcejbus ngised aera ... More

.)310.1( tcejbus ngised enotspac eht dna )150.1 ,140.1 ,130.1( stcejbus ngised aera ytlaiceps tneuqesbus eht ni desu si hcihw decudortni si esac ngised egral A .naps efil detcepxe dna ,srotcaf laicos dna cimonoce ,tnemnorivne larutan ,tnemnorivne tliub gnitsixe eht fo noitaredisnoc sa llew sa sehcaorppa lacinhcet snrecnoc ylticilpxe ngised tcejorP .)sdaor dna segdirb ,sgnidliub ,.g.e( seitilicaf tliub no sisahpme na htiw ,sesac ngised lareves sedulcnI .gnireenigne livic ni secitcarp dna seussi ngised sa llew sa ,gnivlos-melborp evitaerc dna ngised gnireenigne fo seuqinhcet dna ,sloot ,yroeht eht ot stneduts secudortnI Less

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