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  • Ratios and Proportions
Estimating: Counting Trees
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CC BY-NC-ND
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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
Mathematics
Measurement and Data
Ratios and Proportions
Material Type:
Assessment
Lecture Notes
Lesson Plan
Teaching/Learning Strategy
Provider:
Shell Center for Mathematical Education
Author:
http://map.mathshell.org/
Date Added:
11/01/2017
Fraction Matcher (AR)
Unrestricted Use
CC BY
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Match shapes and numbers to earn stars in this fractions game. Challenge yourself on any level you like. Try to collect lots of stars! The main topics of this interactive simulation include fractions, equivalent fractions, and mixed numbers.

Subject:
Mathematics
Ratios and Proportions
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Date Added:
10/13/2017
Fractions: Intro
Unrestricted Use
CC BY
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Explore fractions while you help yourself to 1/3 of a chocolate cake and wash it down with 1/2 a glass of orange juice! Create your own fractions using fun interactive objects. Match shapes and numbers to earn stars in the fractions games. Challenge yourself on any level you like. Try to collect lots of stars!

Subject:
Mathematics
Ratios and Proportions
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Ariel Paul
Kathy Perkins
Mike Dubson
PhET Interactive Simulations
Sam Reid
Trish Loeblein
Date Added:
08/17/2012
Fractions: Intro (AR)
Unrestricted Use
CC BY
Rating
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Explore fractions while you help yourself to 1/3 of a chocolate cake and wash it down with 1/2 a glass of orange juice! Create your own fractions using fun interactive objects. Match shapes and numbers to earn stars in the fractions games. Challenge yourself on any level you like. Try to collect lots of stars!

Subject:
Mathematics
Ratios and Proportions
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Date Added:
10/13/2017
Increasing and Decreasing Quantities by a Percent
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CC BY-NC-ND
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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:
Mathematics
Ratios and Proportions
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Date Added:
11/01/2017
Optimizing: Security Cameras
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help sixth grade teachers assess how well students are able to: Analyze a realistic situation mathematically; construct sight lines to decide which areas of a room are visible or hidden from a camera; find and compare areas of triangles and quadrilaterals; and calculate and compare percentages and/or fractions of areas.

Subject:
Geometry
Mathematics
Ratios and Proportions
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Date Added:
11/01/2017
Proportion and Non-proportion Situations
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CC BY-NC-ND
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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:
Mathematics
Ratios and Proportions
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Date Added:
11/01/2017
Repeating Decimals
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CC BY-NC-ND
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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.

Subject:
Algebra
Mathematics
Ratios and Proportions
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Date Added:
11/01/2017
Robot Races
Conditional Remix & Share Permitted
CC BY-NC-SA
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This task is a great task to use as a wrap up of the Ratios and Proportion skills taught in the seventh grade math standards. I have used this as a small group task in my classroom after I have covered Rates, Unit Rates, Proportional Relationships, Constant of Proportionality, Constant Rate of Change, etc.

This task highlights student understanding of what proportional and non-proportional relationships are and the differences. It also does a great job of showing if students understand the connection between Unit Rate, Constant of Proportionality, and Constant Rate of Change. You are also able to identify their deep understanding of the relationship of using the Constant of Proportionality in a linear relationship in the y=kx format, where k is the Constant of Proportionality.

I do not give any instruction to this task. I just give them a overview and read the initial introduction of the task and what they need to accomplish. Then as they work, I circulate to the groups questioning rather than answering.

After groups have finished the task, (30 minutes) We go through it together and they explain their thinking and why they did what they did and how they arrived at their answer. I then have the other groups ask clarifying questions beginning with "I wonder.." of "I noticed....." This then allows their peers critique the reasoning of others and justify their thinking.

Subject:
Mathematics
Ratios and Proportions
Material Type:
Learning Task
Author:
Illustrative Mathematics
Date Added:
01/10/2018
Scale Drawings
Conditional Remix & Share Permitted
CC BY-NC-SA
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Help students understand scale factor by having them re-create their own scale drawing.  We have some images cut out that students can use, or they can bring their own logo/image that they brought from home.  We have students follow the step by step google slide show and break it down as follows:Day 1: Create grid on student's image and determine scale.  Start on grid lines which are on a large white piece of paper and based on the selected scale factor.Day 2: Complete grid lines on paper and model how students are to re-create their drawing one square at a time.  It may also be a good idea to have students label rows and columns (A, B, C... and 1, 2, 3...) so they can easily reference each square.  Students may be ready to start drawing.Day 3 & 4: Work Days-spent recreating their drawing while representing the scale factor and coloring/painting when completed.Day 5: Present

Subject:
Mathematics
Ratios and Proportions
Material Type:
Lesson Plan
Author:
Ashley Gaulke
Date Added:
04/01/2019
Which Pictures Represent One Half?
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this task students see different ways of partitioning a circle and a rectangle into two or more equal shares.

Subject:
Geometry
Mathematics
Ratios and Proportions
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
08/13/2012