Inside Mathematics
Two Solutions
Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...
Inside Mathematics
Vencent's Graphs
I like algebra, but graphing is where I draw the line! Worksheet includes three multiple-part questions on interpreting and drawing line graphs. It focuses on the abstract where neither axis has numbers written in, though both are...
Inside Mathematics
Winning Spinners
Winning a spin game is random chance, right? Pupils create a table to determine the sample space of spinning two spinners. Individuals determine the probability of winning a game and then modify the spinners to increase the probability...
Inside Mathematics
Magic Squares
Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra.
Inside Mathematics
Marble Game
Pupils determine the theoretical probability of winning a game of marbles. Individuals compare the theoretical probability to experimental probability for the same game. They continue on to compare two different probability games.
Noyce Foundation
Rabbit Costumes
How many rabbit costumes can be made? This is the focus question of an activity that requires scholars to use multiplication and division of fractions to solve a real-world problem. They determine the amount of fabric necessary for eight...
Noyce Foundation
Percent Cards
Explore different representations of numbers. Scholars convert between fractions, decimals, and percents, and then use these conversions to plot the values on a horizontal number line.
Noyce Foundation
Baseball Players
Baseball is all about statistics. Pupils solve problems related to mean, median, and range. They calculate the total weight of players given the mean weight, calculate the mean weight of reserve players given the mean weight of the...
Noyce Foundation
Building Blocks
Building blocks have more uses than simply entertaining children. Young mathematicians calculate the volume of a given cube, and then calculate the volume and surface area of a prism formed from multiple cubes.
Noyce Foundation
Candy Fractions
While examining fractions and ratios, your leaners get to read about one of their favorite subjects: candy! There are four word problems on this instructional activity. Learners consider situations in which "for every x caramels there...
Balanced Assessment
Frosting on the Cake
Party planners need algebra too! Here, pupils decide the perfect size of a cake based on available ingredients. They use the concepts of area and perimeter to make their conclusions.
Balanced Assessment
Bagels or Donuts
Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.
Noyce Foundation
Once Upon a Time
Examine the relationship between time and geometry. A series of five lessons provides a grade-appropriate problem from elementary through high school. Each problem asks learners to compare the movement of the hands on a clock to an angle...
PBL Pathways
Solar Toasters
Help a company maximize their profits! A detailed project-based learning activity examines two production scenarios. Your young scholars write a linear demand function. They then apply the function to develop a revenue, cost, and profit...
101 Questions
Hot Coffee
Your classes will be wide awake during a piping hot lesson! Introduce the resource with a video of the world-record-breaking cup of coffee. Learners work to determine the volume of the cup of coffee to predict if it will break the record.
101 Questions
Best Triangle
What makes an equilateral triangle equilateral? It turns out it's much more than just the side lengths! Learners analyze four different triangles to determine the best equilateral triangle. They create a formula that they later use to...
101 Questions
Dandy Candies
Package design is an economic necessity. Young scholars assume the role in an interesting inquiry-based lesson. Given 24 cubic shaped candies to package, they must determine the arrangement that uses the least amount of cardboard to...
101 Questions
CoinStar
Would you rather have a bowl of dimes or a bowl of quarters? A video introduces the problem by presenting two bowls, one full of quarters and another full of dimes. Learners use information from a CoinStar receipt to calculate the number...
101 Questions
A Penny Saved is a Penny Earned
How many pennies can you save in a lifetime? One individual knows the answer! A video presentation of a question asks scholars to determine how many pennies a bank customer has saved since he was a teenager. They know the total weight of...
101 Questions
Boat in the River
Ever feel like you're headed up the down escalator? Don't let your pupils get stuck in that rut! Practice writing equations to solve a problem using an engaging lesson. A video presents information that allows learners to determine how...
101 Questions
Square Partitions
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...
College Board
2015 AP® Statistics Free-Response Questions
Statistics is all about making inferences. Can you infer how your pupils will fair on their AP® exams? Collect your own data by giving them practice tests such as the 2015 free-response exam. The six-question test includes topics such as...
Curated OER
Solving the Problem
Students increase problem solving strategies by completing a "Problem of the Day" using a math manipulative. They identify key words and determine the operation to use. They perform mathematical tasks using the computer program Math Keys.
Curated OER
Simply the Best
Students determine whom they consider "the best" performer in a variety of entertainment industries and discuss how to accurately measure greatness. They create bar graphs comparing statistics of the 1975 Cincinnati Reds and the 1998 New...