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Illustrative Mathematics
Summer Swimming
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
Illustrative Mathematics
Designs
A resource that makes for excellent group work as students explore the area and perimeter of different complex designs made up of squares and circles. The commentary gives a clear definition of perimeter, but suggests that group members...
Illustrative Mathematics
Delivery Trucks
Algebra learners are to make sense of two different-sized sand trucks and the number of trips each truck makes. The resource lists four different expressions based on the size of each truck and the number of deliveries the trucks make....
Curated OER
The Random Walk II
Deep mathematical thinking is found with just a coin and a number line. Combining computing some probabilities in a discrete situation, and the interpretation of a function, this simple task gives learners a lot to think about on...
Curated OER
Bernardo and Sylvia Play a Game
This activity presents a game played by two learners whose solution is an exercise in creating and analyzing with algebraic inequalities.
Curated OER
Profit of a Company
Your business executives choose which of three equivalent forms of a quadratic equation is the most useful for finding various pieces of information in this task centered on a company's profits.
Noyce Foundation
What's Your Angle?
Math can be a work of art! Reach your artistic pupils as they explore angle measures. A creative set of five problems of varying levels has young learners study interior and exterior angle measures of polygons. The introductory levels...
Education Development Center
Integer Combinations—Postage Stamps Problem (HS Version)
It seems the post office has run out of stamps! Learners build all the values of postage available if the post office only sells five- and seven-cent stamps. The task provides an opportunity to create an expression in two variables and...
101 Questions
File Cabinet
Take the resource out of the file cabinet. Young mathematicians estimate the number of sticky notes it would take to cover the surface area of a file cabinet. They answer a set of questions on how the number of sticky notes would change...
Howard County Schools
Setting the Table
How many people can fit around a table? Depends on the size of the table, right? Explore patterns to generate an equation for the number of people that can fit around a table given its size.
Concord Consortium
Yearbook Pictures
Sorting memories doesn't have to be difficult. Young mathematicians evaluate two different methods of sorting yearbook pictures. They answer a set of questions to explore each method, then develop their own sorting procedure based on...
5280 Math
More or Less the Same
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
California Education Partners
Soccer Snacks
Make the cookies healthy. The assessment task asks pupils to determine the number of cookies they could make based on a given amount of ingredients. Given two sugar substitutes, learners determine which substitute would be better and...
California Education Partners
Four Square Wars
Obviously, four is the perfect number when you're playing Four Square. Scholars first use multiplication and division to solve a set of problems on the number of balls needed, the number of games, and the number of players required for a...
California Education Partners
Window Washers
Aim high with a task on window washers. An assessment task challenges learners to determine the number of windows two people wash. They do this using a given number of window rows on each side of a building. In addition, they find the...
Curated OER
Putting the Pieces Together
Children explore fractions on a conceptual level by making individual quilt squares. Each student works with small paper swatches to divide them into pieces that represent a given fraction. The class is then separated into groups and...
American Statistical Association
How Tall and How Many?
Is there a relationship between height and the number of siblings? Classmates collect data on their heights and numbers of brothers and sisters. They apply statistical methods to determine if such a relationship exists.
American Statistical Association
Scatter It! (Predict Billy’s Height)
How do doctors predict a child's future height? Scholars use one case study to determine the height of a child two years into the future. They graph the given data, determine the line of best fit, and use that to estimate the height in...
Statistics Education Web
It’s Elemental! Sampling from the Periodic Table
How random is random? Demonstrate the different random sampling methods using a hands-on activity. Pupils use various sampling techniques to choose a random sample of elements from the periodic table. They use the different samples to...
Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
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 students become intuitive about graphing.
Curated OER
Rolling Twice
Rolling dice is the best way to show your learners how probability comes in to play. Although this lesson does not specify an activity, your mathematicians can try this probability with real dice to calculate their experimental...
Curated OER
Quinoa Pasta 2
Learners discover that a system of linear equations models this mixture of quinoa and corn in a collaborative task. Your learners receive all the relevant information in this second of three variants of tasks that ask them to find...
Rational Number Project
Initial Fraction Ideas Lesson 18: Overview
Develop young mathematicians' ability to compare fractions with investigation into the number 1/2. After brainstorming a list of fractions equivalent to 1/2, children identify a pattern in the numerators and...