Illustrative Mathematics
Find the Change
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...
Illustrative Mathematics
DVD Profits, Variation 1
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,...
Illustrative Mathematics
Proportional Relationships, Lines, and Linear Equations
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...
Illustrative Mathematics
Cooking with the Whole Cup
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...
Illustrative Mathematics
Comparing Speeds in Graphs and Equations
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.
Illustrative Mathematics
Coffee by the Pound
This is a great exercise in graphing proportional quantities to interpret the unit rate as the slope of a graph. It is not easy for learners to understand what a unit rate is. When it is presented as the slope of a linear line graph,...
Illustrative Mathematics
Who Has the Best Job?
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
Illustrative Mathematics
Sore Throats, Variation 2
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...
Illustrative Mathematics
Sale!
Everyone loves a sale, and this worksheet allows learners to calculate which sale is more rewarding. The activity can be adapted for different thinking contexts. The answer key describes different answer choices, some being higher...
Illustrative Mathematics
Buying Protein Bars and Magazines
Packing for a trip? This activity allows learners to decide how many magazines and protein bars they can buy with twenty dollars. They can organize their work in a chart to track how many items they can purchase. There are two different...
Yummy Math
Starbucks Drinks
The casual language and popular topic will make this assignment all the more engaging for your middle school math class. They use Starbucks beverage sales and nutrition values to practice ratios, proportions, statistics, and...
Curated OER
Pike Problems in Lake Davis
Pike fish pose a threat to native trout and catfish in lakes. Would you drain and poison a lake to get rid of the Pike fish? If the lake was drained and poisoned, then refilled and repopulated with trout and catfish, how would you...
Curated OER
Hybrid Vehicles: Cut Pollution and Save Money
Math and science meet in this lesson on hybrid electric automobiles. This 24-page resource provides everything you need for teaching a lesson that compares the use of internal combustion engines to hybrid electric engines. Participants...
Curated OER
Sentence Based Ratios and Proportions Worksheet
In this ratios and proportions worksheet, students read each sentence and write the indicated ratio on the blank line. They complete 7 examples.
Curated OER
Baseball Proportion: Student Worksheet
Here is a simple and clever activity which illustrates the concept of mathematical proportion and size quite effectively. In it, two pupils hold baseball bats: one is a regulation-size bat, the other is a miniature souvenir bat. The...
Curated OER
Applications Using Rational Equations
Algebra learners explore the concept of writing equations using rational expressions. This work sheet contains a number of word problems including reciprocal number problems, work problems, and problems can that be solved using...
Curated OER
Our Solar System - Comparing Planetary Travel Distances
NASA presents a mini-unit on distances in our solar system. It incorporates scientific concepts of gravity, mass, density, and payload while your aspiring astronauts also employ mathematics skills. They calculate speed, they determine...
Curated OER
Using Algebra to Explore Problem Space
Students apply their knowledge of math by rewriting word problems using equations. In this word problem lesson, students build upon previous knowledge as they set up the correct steps to solve word problems. This lesson is full of hints...
Mathematics TEKS Toolkit
Am I Related to Myself?
Elementary or middle schoolers use ratios to discover some nearly constant relationships between measurements of parts of the human body. They find and record pairs of measurements and determine the relationship between the pairs. Pupils...
Curated OER
Word Problems Dealing with Ratio and Proportion
Mindful middle-schoolers read and solve a number of word problems. Learners copy and discuss what they believe their strategies are in solving each problem. They also write their findings and share with the rest of the class.
Curated OER
Study Buddies - Proportions
Middle-schoolers solve various problems related to proportions. They write ratios in word form and then, replace the words with numbers. Pupils also write an equation in which they will cross-multiply to solve the proportion. This is an...
Raytheon
Ratios and Rates
Here is a ratios, rates, and proportions worksheet which invites learners to solve word problems dealing with ratios, rates, and proportions. They complete 26 problems total.
Math Can Take You Places
Picture This
Engage scholars in a ratio lesson that employs real-world scenarios. Learners will compare the length and width of pictures and use a table to identify ratio patterns. They watch "Math Can Take You Places" and discuss jobs that use math...
Curated OER
Super Size It, Please!
Pupils take photos from a given distance and determine the height of the person using a scale factor. Pupils calculate the ratio of student actual height to student photo height. They take pictures from 3 different distances to see if...