Lesson Plan
Illustrative Mathematics

Proportional Relationships, Lines, and Linear Equations

For Teachers 7th - 9th Standards
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
Activity
Curated OER

Carbon 14 Dating in Practice II

For Teachers 9th - 12th Standards
  Your archaeologists combine proportional reasoning with exponential functions in a real-life task centered on Carbon 14 dating.          
Activity3:39
PBS

Scale City — Proportional Relationships in the Real World

For Teachers 6th - 7th Standards
Strive to determine your stride. Scholars first view an informative video on the Kentucky Horse Park and the 28-feet stride of the Man o' War. They then work together in groups to find the length of their own strides by using the number...
Lesson Plan
Illustrative Mathematics

Walk-a-thon 1

For Teachers 6th - 8th Standards
Your mathematician's job is to explore the relationship between hours and miles walked during a walk-a-thon. The activity compels your learners to experiment with different means in finding out this proportional relationship. The answer...
Lesson Plan
Illustrative Mathematics

Art Class, Assessment Variation

For Teachers 7th - 9th Standards
Play with paint and decide the ratio to make different shades of green. When mixing paint colors, your painters should decide which ratios make the same shade and what is needed to mix other ratios for a different shade of green. This is...
Lesson Plan
Illustrative Mathematics

Comparing Speeds in Graphs and Equations

For Teachers 7th - 9th Standards
Compare two different proportional relationships on a graph. It is up to your mathematicians to determine which of two moving objects have greater speed. A good example of a Common Core multiple choice question. 
Lesson Plan
Curated OER

7.RP Music Companies, Variation 2

For Teachers 6th - 8th Standards
Real-world multiple-step proportion problems are sometimes hard to find for your math class. Here is one designed specifically to meet that need. Learners use proportional relationships to determine price per share in the acquisition of...
Lesson Plan
Illustrative Mathematics

Sore Throats, Variation 2

For Teachers 6th - 8th Standards
What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...
Activity
Curated OER

Sore Throats, Variation 1

For Teachers 6th - 8th Standards
Why does Nia's water taste saltier than Trey's if she put more into her cup than he did? Math masters set up proportions in order to compare the mixtures. This task effectively has learners apply the concepts of ratio and proportion to a...
Lesson Plan
Illustrative Mathematics

Peaches and Plums

For Teachers 7th - 9th Standards
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps students become intuitive about graphing. 
Activity
1
1
PBS

Real-World Proportional Relationships: Gender Wage Gap

For Teachers 6th - 7th Standards
When will the gender wage gap disappear? Scholars use a provided infographic to see trends in wage gap over time. They use ratios of women's wages to men's wages to determine which decades had the greatest change in the wage gap. The...
Lesson Plan
Curated OER

Stock Swaps, Variation 3

For Teachers 6th - 8th Standards
More on the fictitious takeover of the Apple Corporation by Microsoft. In this scenario, Microsoft has $28.00 per share to spare, so how many do they need to offer to make an even trade? This is an engaging problem to solve when...
Lesson Plan
Illustrative Mathematics

DVD Profits, Variation 1

For Teachers 7th - 9th Standards
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
Activity
101 Questions

Split Time

For Teachers 6th - 8th Standards
Stay on track to learn about proportions. Scholars watch an introductory video that shows the split time for a runner on an outdoor track. Applying concepts of proportional reasoning, they determine what the runner's split time would be...
Activity
Gfletchy

The Clapper

For Students 6th Standards
Give a round of applause for completing the task. Scholars watch a video that shows an extremely fast clapper and a timer. The activity requires applying concepts of rates and proportional reasoning to estimate the number of claps in one...
Activity
Illustrative Mathematics

Sand Under the Swing Set

For Teachers 7th - 9th Standards
Help the local elementary school fix their playground by calculating the amount of sand needed near the swing set. The problem practices setting up proportions and ratios with three different options for solving. You can chose the option...
Lesson Plan
Illustrative Mathematics

Cooking with the Whole Cup

For Teachers 6th - 7th Standards
Whoops! Travis accidentally put too much butter into the recipe. Your bakers must find out how to alter the recipe to accommodate different changes by using unit rates and ratios . The activity has multiple parts and calculations with...
Activity4:07
PBS

Scale City — Inverse Proportions and Shadows in the Real World

For Teachers 6th - 7th Standards
Bring the resource out from the shadows. Viewers of a short video learn about drive-in theaters and how operators project images onto a large screen. They then perform an experiment to determine the relationship between the distance of...
Lesson Plan
Illustrative Mathematics

Find the Change

For Teachers 7th - 9th Standards
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Lesson Plan
Illustrative Mathematics

Buying Bananas, Assessment Version

For Teachers 7th - 9th Standards
Practice with unit rates, proportions, and ratios when Carlos purchases an amount of bananas. Learners must interpret a graph to decide whether points on the same line represent similar proportional relationships. Use with lesson plans...
Lesson Plan
Illustrative Mathematics

Security Camera

For Teachers 6th - 8th Standards
A different-than-normal problem that allows learners to practice their reasoning to find an answer. The problem bases itself off a graph drawing of a store that needs to install security cameras. The challenge is to find which placement...
Activity
Noyce Foundation

Measuring Up

For Students K - 12th Standards
Teach the basics of measurement and conversion with a five-lesson resource that builds an understanding of proportion and measurement conversion from elementary through high school. Initially, young scholars use ratios to determine soup...
Activity
101 Questions

Lightning then Thunder

For Teachers 6th - 8th Standards
Conquer your fear of thunder and proportions. After viewing a video of lightning and thunder, scholars consider how far away the storm is from the recorder. This obviously requires the use of proportions and rates.
Activity
101 Questions

Square Partitions

For Teachers 6th - 8th Standards
Challenge your classes while developing their problem-solving skills. A square is divided neatly into four equal triangles by its diagonals until one diagonal is moved from a vertex to the midpoint of one side. Now, scholars must devise...

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