Illustrative Mathematics
Illustrative Mathematics: How Long?
Learners 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!
Young scholars 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, students 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 earlier...
Illustrative Mathematics
Illustrative Mathematics: F If.6 Mathemafish Population
For this task, students 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...
Illustrative Mathematics
Illustrative Mathematics: F if Random Walk Ii
In 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 analyzing the possible outcomes. Aligns with F-IF.A.2.
Illustrative Mathematics
Illustrative Mathematics: F if Your Father
This is a simple task which has students analyze functions where they assign a father to each student. It addresses the idea that not all functions have real numbers as domain and range values, and the issue of when a function admits an...
Illustrative Mathematics
Illustrative Mathematics: F if the Parking Lot
In this task about parking lot rates, learners investigate what a function is and explain their reasoning. Aligns with F-IF.A.1.
Illustrative Mathematics
Illustrative Mathematics: 6.rp Mangos for Sale
Students use ratios and unit rates to answer this performance task.
Illustrative Mathematics
Illustrative Mathematics: F if Telling a Story With Graphs
For this task, students are presented with three weather-related graphs - on temperature, solar radiation, and precipitation. They are asked to describe the function represented in each graph and tell a more detailed story using...
Illustrative Mathematics
Illustrative Mathematics: F if Which Function?
For this task, students are presented with a graph and asked to identify the functions that could be represented by it and explain their thinking. The task addresses knowledge related to interpreting forms of functions derived by...
Illustrative Mathematics
Illustrative Mathematics: 6.rp Gianna's Job
Students use ratios and rates to answer two questions in this performance task.