Illustrative Mathematics
Illustrative Mathematics: F if Graphs of Power Functions
In this task, young scholars are asked to sketch and label the graphs of different (positive) powers of x. Aligns with F-IF.C.7.c.
Illustrative Mathematics
Illustrative Mathematics: F if the Random Walk
For this task, a person moves left or right one unit on a life-sized number line based on the toss of a coin. The task involves interpreting a function in a non-standard context and provides an opportunity to compute some probabilities...
Illustrative Mathematics
Illustrative Mathematics: F if Temperature Change
In this task, students examine the average rate of change of the temperature in Tucson, Arizona hours after midnight. Aligns with F-IF.B.6.
Illustrative Mathematics
Illustrative Mathematics: F if.c Analyzing Graphs
For this task, students are presented with four different equations and asked to match them with their graphs, then respond to questions about the characteristics of the constants. Aligns with F-IF.C.
Illustrative Mathematics
Illustrative Mathematics: F if Throwing Baseballs
In this task about the height of baseballs thrown into the air, students are asked to compare characteristics of two quadratic functions that are each represented differently, one as the graph of a quadratic function and one written out...
Illustrative Mathematics
Illustrative Mathematics: Making a Clock
Learning to tell time is a skill that needs to be practiced often in the classroom. In this activity, the students sit in a large arc/rainbow in order to make a giant clock to practice telling time. Instructions for making the clock,...
Illustrative Mathematics
Illustrative Mathematics: Overlapping Rectangles
The purpose of this task is to give students an opportunity to compose and decompose polygons to make rectangles. The students will be shown a picture and are asked to count how many rectangles they see. Explanations and examples are...
Illustrative Mathematics
Illustrative Mathematics: How Long?
Students will investigate the attribute of length by using a common measurement tool such as snap or unifix cubes to directly measure objects in the classroom. Materials needed include various items to measure, a large set of cubes such...
Illustrative Mathematics
Illustrative Mathematics: Make Your Own Puzzle
Students will cut a square into four pieces, and then will put those pieces in an envelope for another student to put together. The purpose of this task is to give students a hands-on experience with composing and decomposing geometric...
Illustrative Mathematics
Illustrative Mathematics: Measure Me!
Students will work in pairs and measure each other using Unifix cubes. They will record their measurements on a worksheet which is included. Detailed instructions are provided.
Illustrative Mathematics
Illustrative Mathematics: Daisies in Vases
Students will solve a word problem with various outcomes by creating a meaningful representation of the problem by using objects, pictures, or equations. An explanation is provided.
Illustrative Mathematics
Illustrative Mathematics: Grandfather Tang's Story
The purpose of this task is for students to compose two-dimensional shapes to create a composite shape using tangram pieces. The teacher will read "Grandfather Tang's Story" and the students will use tangrams to compose the animals from...
Illustrative Mathematics
Illustrative Mathematics: Cave Game Subtraction
The purpose of this task is for students to practice creating and memorizing subtraction equations while focusing on missing addends. After modeling the activity with the whole class, this game would be perfect for centers and small groups.
Illustrative Mathematics
Illustrative Mathematics: Domino Addition
The purpose of this task is to help students understand the commutative property of addition by using dominos as manipulatives. If the teacher does not already have dominoes, they are easily found online and can be printed onto colored...
Illustrative Mathematics
Illustrative Mathematics: Growing Bean Plants
Growing bean plants is a common science activity at this age. This task adds some rigor to the activity, by collecting actual growth data, providing practice for students in measuring and recording length measurements. Detailed...
Illustrative Mathematics
Illustrative Mathematics: N cn.a.2: Powers of a Complex Number
The goal of this task is to practice making calculations with complex numbers and to visualize what happens when two complex numbers are multiplied. Aligns with N-CN.A.2.
Illustrative Mathematics
Illustrative Mathematics: N Cn, a Rei Complex Square Roots
Working with complex numbers allows us to solve equations that cannot be solved with real numbers. Here we will investigate complex numbers which arise as square roots of certain complex numbers. Aligns with N-CN.A.2 and A-REI.A.1.
Illustrative Mathematics
Illustrative Mathematics: 8.g.b.7: Spiderbox
The purpose of this task is for students to work on their visualization skills and to apply the Pythagorean Theorem. Aligns with 8.G.B.7.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Friends Meeting on Bicycles
Students use ratio and rate to answer five questions in this real-world math performance task.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Kendall's Vase Tax
Students use percentage and addition to answer this real-world math performance task: Kendall bought a vase that was priced at $450. In addition, she had to pay 3% sales tax. How much did she pay for the vase?
Illustrative Mathematics
Illustrative Mathematics: 6.rp Dana's House
Students use ratio and rate to solve this real-world math performance task: The lot that Dana is buying for her new one story house is 35 yards by 50 yards. Dana's house plans show that her house will cover 1,600 square feet of land....
Illustrative Mathematics
Illustrative Mathematics: F if Logistic Growth Model, Explicit Version
For this task, students are presented with a graph showing the growth of the U.S. population from 1790 to 1940 and are given the equation for a logistic function for it. They are asked to use the equation and the graph to find the...
Illustrative Mathematics
Illustrative Mathematics: F if Logistic Growth Model, Abstract Version
For this task, young scholars are presented with an equation for a logistic growth model and are asked to analyze it. They are then questioned about a graph showing bacterial population growth. Next, they must use information from...
Illustrative Mathematics
Illustrative Mathematics: F If.6 Mathemafish Population
For this task, learners are presented with a table and a graph and are asked to summarize the data and report the findings of a project by the Environmental Protection Agency to contain the effects of an invasive species on a fish...