Illustrative Mathematics
Illustrative Mathematics: F Le Equal Factors Over Equal Intervals
For this task, students investigate the changes that take place in the values of a function to determine that exponential functions grow by equal factors over equal intervals. Aligns with F-LE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: F Le Equal Differences Over Equal Intervals 2
For this task, students investigate the changes that take place in the values of a function to determine that linear functions grow by equal differences over equal intervals. Aligns with F-LE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: F Le Finding Parabolas Through Two Points
For this task, students are asked to find the quadratic functions that pass through two given points on a coordinate grid and to describe how their graphs are related. Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Le Linear Functions
In this problem, students are presented with the equations of two linear functions and their intersecting graphs. They are asked to label the graphs and compute values for several points on the graphs. Aligns with F-LE.A.1.b.
Illustrative Mathematics
Illustrative Mathematics: Where Do I Go?
Learners will get a chance to move around while practicing number sequences. Teachers will pre-make or buy cards numbered to 100. Give each student a card and have them move around and arrange themselves in sequential order. Multiple...
Illustrative Mathematics
Illustrative Mathematics: Red and Blue Tiles
Students will determine whether a set of objects contains an even or odd number of members using strategies such as pairing objects or attempting to divide the objects into two equal subgroups. Discussion questions and explanations are...
Illustrative Mathematics
Illustrative Mathematics: Counting Dots in Arrays
This task aims to show learners that there is often more than one way to represent a quantity. This lesson also lays a foundation for students to understand the commutative property of multiplication.
Illustrative Mathematics
Illustrative Mathematics: Buttons Odd and Even
The purpose of this task is for students to determine whether a set of objects (up to 20) has an odd or even number of elements. Students will also write an equation to express an even number as a sum of two equal addends and an odd...
Illustrative Mathematics
Illustrative Mathematics: Hitting the Target Number
The purpose of this task is to help students develop flexible strategies for adding and subtracting within 20. Students will pick 5 number cards from pre-made cards labeled 1-10. Then, another student will pick a "target number" between...
Illustrative Mathematics
Illustrative Mathematics: Building Toward Fluency
The purpose of this task is to promote certain addition strategies that will help students learn to fluently add and subtract within 20. Students will use a number line or magnetic cubes to solve addition problems. Students will be asked...
Illustrative Mathematics
Illustrative Mathematics: Saving Money 2
The purpose of this task is for young scholars to relate addition and subtraction problems to money and to situations and goals related to saving money. A problem is given that will contain multiple solutions, this allows students to...
Illustrative Mathematics
Illustrative Mathematics: Delayed Gratification
You won first place at your school Science Fair and have 2 choices for your prize!! The purpose of this task is for young scholars to compare two options for a prize where the value of one is given $2 at a time, giving them an...
Illustrative Mathematics
Illustrative Mathematics: Number of the Day
Repeatable, daily activities are one of the best ways to instill the counting sequence for children. This activity requires a 100 chart which can be made or purchased. Students will count the "Number of the Day" beginning with 1 on the...
Illustrative Mathematics
Illustrative Mathematics: Pencil and a Sticker
The following problem is posed to the class: A pencil costs 59 cents, and a sticker costs 20 cents less. How much do a pencil and a sticker cost together? The solution with explanation is included on this site.
Illustrative Mathematics
Illustrative Mathematics: F if Yam in the Oven
The purpose of this task is to give students practice interpreting statements using function notation. The problem is about a baked yam whose temperature is changing as it cools. Aligns with F-IF.A.2.
Illustrative Mathematics
Illustrative Mathematics: F if the Customers
This is a beginning lesson plan on the concept of functions. The context is a business that has a database of customer names and phone numbers in a table and students must decide if a function is involved. Aligns with F-IF.A.1 and 8.F.A.1.
Illustrative Mathematics
Illustrative Mathematics: F if Using Function Notation Ii
The purpose of the task is to explicitly identify a common error made by many students in function notation, when they make use of the "identity" f(x + h) = f(x) + f(h). Aligns with F-IF.A.2.
Illustrative Mathematics
Illustrative Mathematics: F if Using Function Notation I
This task deals with a student error that may occur where students misinterpret function notation. Aligns with F-IF.A.1.
Illustrative Mathematics
Illustrative Mathematics: F if Average Cost
In this task, young scholars must calculate the average cost for a DVD recording for different numbers of DVDs and explain why the cost levels off as the number of DVDs goes up. Aligns with F-IF.B.4 and F-IF.B.5.
Illustrative Mathematics
Illustrative Mathematics: F if Bank Account Balance
This task introduces the concept of a step function. It is about the changing balance in a bank account as money is deposited and removed. Aligns with HSF-IF.C.7.b.
Illustrative Mathematics
Illustrative Mathematics: F If.3 Snake on a Plane
In a video game called Snake, a player moves a snake through a square region in the plane, trying to eat the white pellets that appear. This task has students approach a function via both a recursive and an algebraic definition, in the...
Illustrative Mathematics
Illustrative Mathematics: F if Graphing Rational Functions
In this task, students interact with a Desmos app by moving sliders and making observations about features of the graphs and the structures of the expressions of the functions. Aligns with F-IF.C.7.d.
Illustrative Mathematics
Illustrative Mathematics: F if a Sse Modeling London's Population
In this task, students are shown a table of population data for the city of London and are asked to explore whether a linear, quadratic, or exponential function would be appropriate to model relationships within the data. They are next...
Illustrative Mathematics
Illustrative Mathematics: F If, a Rei Springboard Dive
This problem is about the changing height of a diver en route to the water. It gives students experience translating questions about a real-world context into mathematical questions about a quadratic function and then answering those...