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Queen's Printer for Ontario
E workshop.on.ca: Effective Instruction in Math, 4 6: Big Ideas [Pdf]
Volume 1 in an eworkshop Guide to Effective Instruction in Math outlines and illustrates instructional strategies for explaining five big ideas of number sense and numeration to students in grades 4 through 6: quantity, operational...
Texas Instruments
Texas Instruments: Just How Many Are There?
This activity introduces students to the concept of using proportional reasoning to estimate the size of an animal population.
Texas Instruments
Texas Instruments: Meal Manager
In this activity, students can use percentages and proportional reasoning skills to solve problems.
Texas Instruments
Texas Instruments: Stepping Stones
In this activity, students use volume formulas and proportional reasoning to calculate the amount of concrete needed to make stepping stones of a specific size.
PBS
Pbs: Scale City: Scaling Up Rectangles in the Real World
In this video, students explore Depression-era post office murals and modern outdoor murals to learn how artists use proportional reasoning and measurement to create large-scale paintings. The video ends with the question, "How do...
Illustrative Mathematics
Illustrative Mathematics: 7.rp Art Class, Variation 2
In this lesson plan, 7th graders explore proportional relastionships using paint colors.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Buying Coffee
In this activity, 7th graders explore the proportional relationship between coffee and the cost.
Texas Instruments
Texas Instruments: Set Design
In this activity, students can use similarity concepts, and the dimensions of the carvings on Mt. Rushmore to create a proportional representation of the carvings for a stage backdrop.
University of South Florida
Fcat: The Shadow Knows (Ratio, Proportion & Measurement)
Students use their height and the length of the shadow to determine the height of buildings. A great outdoor activity to learn about proportions and ratios.
Khan Academy
Khan Academy: Equivalent Expressions With Percent Problems
Practice equivalent expressions with percent problems.
PBS
Pbs: Soul Food Junkies: Portions
Consider the relationships among health, portion size, and traditional soul food and fast food diets in this video from the Center for Asian American Media.
Other
The Education Center: Breakfast It's a Big Deal!
This is a PDF worksheet where students use a real world scenario to find percents using proportional reasoning.
Texas Instruments
Texas Instruments: Banquet Meal
In this activity, students use proportional reasoning skills to increase a family-size recipe to a banquet-size recipe.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Comparing Years
In this instructional activity, 7th graders determine the proportional relationships to determine the percent decrease.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Chess Club
Seventh graders use their knowledge of proportional relationships to determine the percent increase or decrease.
Illustrative Mathematics
Illustrative Mathematics: 7.rp Two School Dance
The purpose of this task is to see how well learners students understand and reason with ratios. This task was adapted from problem #14 on the 2011 American Mathematics Competition (AMC) 8 Test. Aligns with 7.RP.A.3. The site provides a...
Other
Nearpod: Interpreting Slope & Y Intercept
In this lesson on interpreting slope and y-intercept, 8th graders will learn how to identify the slope and the y-intercept of a line in order to identify if a proportion is demonstrated.
University of Cambridge
University of Cambridge: Maths and Sports: Triathlon and Fitness
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories? This activity provides a real-life context for working with proportionality, speed, rates, and units of measurement and is aimed...
Illustrative Mathematics
Illustrative Mathematics: 6.rp, 7.rp.3 Climbing the Steps of El Castillo
A performance task in which students solve a problem involving a proportional relationship. The problem is: The temple at the top of the pyramid is approximately 24 meters above the ground, and there are 91 steps leading up to the...
Other
Nearpod: Percent of Change
In this lesson, 7th graders will learn how to solve percent of change problems.
PBS
Pbs: Scale City: Scaling Up Recipes and Circles in the Real World
In this video, students visit a small-town festival that features the world's largest stainless steel skillet. In addition to a question about scaling recipes, they also are asked how increasing or decreasing the radius of a circle...
University of Texas
Inside Mathematics: Snail Pace [Pdf]
This task challenges a student to demonstrate understanding of concepts involved in rates. Students must make sense of proportional relationships of speed in minutes and inches.
Google
Google for Education: Percent Change
Students analyze proportional relationships and use them to solve real-world and mathematical problems. Here, look for patterns to understand and solve percent change problems.