Illustrative Mathematics
Buying Bananas, Assessment Version
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...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Target A
How do you know if your pupils have a deep understanding of proportional relationships? Assessment is key! A helpful series starts with questions on proportional relationships modeled after the Smarter Balanced Assessment items....
Illustrative Mathematics
Kimi and Jordan
Kimi and Jordan have taken summer jobs to supplement their weekly allowances. Kimi earns more per hour than Jordan, but Jordan's weekly allowance is greater. This activity asks students to determine how the incomes of the two workers...
Illustrative Mathematics
Busy Day
This activity gets at the heart of algebraic reasoning and setting up equations with one variable to solve real-world problems. The worksheet has only one problem, but it requires that learners first use their own reasoning...
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
Peaches and Plums
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 young scholars become intuitive about graphing.
Illustrative Mathematics
Animal Populations
Assume all you know is that the variable Q represents a value that is bigger than the value represented by the variable P. Which is larger P + Q or 2P? The problems in this activity get more complex than...
EngageNY
Modeling Using Similarity
How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...
Virginia Department of Education
Give or Take a Few
Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.
Illustrative Mathematics
Felicia's Drive
Learners consider several factors to determine if Felicia has enough gas to make it to her destination. They must explain the approximations Felicia might make while driving to determine if she needs to stop for gas. They are also asked...
Curated OER
Mixing Candies
Mixture problems are a classic in first-year algebra. Unfortunately, many learners approach them in a formulaic fashion and don't truly understand the meaning of the algebraic expressions they are using. Here, the questions are not the...
Bowland
Olympic Cycling
Teach teenagers to think critically about data. Young data analysts must create two questions that can be answered using a provided data set on Olympic cycling times. Of course, they then have to answer their questions using mathematics.
Curated OER
Factors In Population Growth
Learners examine both historical and recent estimates of world population. They identify regions of the world that have had significant population growth in the last decade and speculate on reasons for this.
Curated OER
Mapping Your State's Role in the Vietnam War
Learners recognize reasons to celebrate Memorial Day. Students create a map of victims of the VIetnam War. Using the internet, learners research information about soldiers from their state who were killd in action in Vietnam. Students...
Curated OER
Science NetLinks: Adolescent Sleep
Wake up, sleepy head! High schoolers craft a creative presentation that represents how they feel when they wake up on a school morning. After the presentations, a reading of Academic Sleep Times and Academic Performance launches a...
Curated OER
How many movies can you see in one day?
For kids who love movies, figuring out a schedule for the maximum number that can be seen in one day is not only a good demonstration of Common Core mathematical practices, but also a highly motivating activity. Robert Kaplinsky...
Illustrative Mathematics
Traffic Jam
How many cars would be involved in a traffic jam 12 miles long? A slightly ambiguous writing prompt gives learners the opportunity to practice making reasonable assumptions to tackle a real-life problem. Few details are given, so they...
Illustrative Mathematics
Seven to the What?!?
Sometimes what seems like the easiest problem is really the most difficult. Your class is first going to reach for their calculators, but will realize the number is too large to evaluate. Now what? This is where the fun and the...
Illustrative Mathematics
Rectangle Perimeter 2
While this activity is centered around expressions that represent the perimeter of a rectangle, it also hits at the fundamental concept of equivalent expressions, simplifing expressions, and like-terms. Classmates express their...
Illustrative Mathematics
The Physics Professor
Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....
National Council of Teachers of Mathematics
Bank Shot
Bank on geometry to line up the shot. The resource asks the class to determine the location to bank a cue ball in a game of billiards. Using their knowledge, class members determine where to hit the bumper to make a shot and discuss...
Math12
Conditional Probability
Conditional probability can be a confusing concept. A straightforward lesson provides reasonable examples of conditional probability, and models the most effective ways to reinforce the more complex parts of the lesson.
EngageNY
How Far Away Is the Moon?
Does the space shuttle have an odometer? Maybe, but all that is needed to determine the distance to the moon is a little geometry! The lesson asks scholars to sketch the relationship of the Earth and moon using shadows of an eclipse....
EngageNY
Special Relationships Within Right Triangles—Dividing into Two Similar Sub-Triangles
Why are right triangles so special? Pupils begin their study of right triangles by examining similar right triangles. Verifying through proofs, scholars recognize the three similar right triangles formed by drawing the altitude. Once...
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