Illustrative Mathematics
Illustrative Mathematics: G Gmd Doctor's Appointment
In preparation for some medical tests, Jared must drink 3 liters of water today, but he has forgotten his water bottle at home and must use paper cone cups at work. Students are asked to calculate how many of these he must drink if that...
Illustrative Mathematics
Illustrative Mathematics: G Gmd Centerpiece
This problem presents a wedding reception scenario. The bride is creating centerpieces for the tables and must calculate how many marbles she needs to partly fill the vases and stay within her budget at the same time. Aligns with G-GMD.A.3.
Illustrative Mathematics
Illustrative Mathematics: G Gmd, G Mg Tennis Balls in a Can
For this task, students investigate the volume of tennis balls and their cylindrical container, the empty space around the balls, different ways of slicing them, and what their visualizations will look like. Aligns with G-GMD.B.4 and...
Illustrative Mathematics
Illustrative Mathematics: G Gmd Volume Estimation
In this task, students are asked to estimate the volume of a non-standard 3D solid by referencing either a cone or a cylinder. Aligns with G-GMD and G-GMD.A.3.
Illustrative Mathematics
Illustrative Mathematics: G Gmd Area of a Circle
For this task, students investigate and develop an understanding of the formula for the area of a circle. Aligns with G-GMD.A.1.
Illustrative Mathematics
Illustrative Mathematics: G Gmd Circumference of a Circle
For this task, students are asked to explain the formula for finding the circumference of a circle. Aligns with G-GMD.A.1.
Illustrative Mathematics
Illustrative Mathematics: G Mg Archimedes and the King's Crown
The King of Syracuse reportedly requested Archimedes' advice for determining if a crown was made with the appropriate mixture of gold and silver. The problem asks students to find the amount of water displaced in Archimedes' experiment...
Illustrative Mathematics
Illustrative Mathematics: Sort and Count Ii
The purpose of this task is for students to sort the same set of objects according to different attributes and to practice counting to tell the number of objects in a set. The teacher should accept any way the child wants to sort the...
Illustrative Mathematics
Illustrative Mathematics: Pick a Number, Counting On
Young scholars will practice counting on with this class game. The teacher will put multiple numbers in a hat or on sticks from the known counting sequence. S/he randomly picks one number and asks the class to count on ten numbers from...
Illustrative Mathematics
Illustrative Mathematics: Sort and Count I
Students will have fun moving around the room and comparing items using sorting cards. They will become familiar with the math vocabulary more/less/same and most/least.
Illustrative Mathematics
Illustrative Mathematics: Number Tic Tac Toe
Students will practice number recognition by trying to identify three numbers in a row to win Tic Tac Toe. They will also trace the number on their grid to practicing writing numerals. This is a perfect independent game for pairs or...
Illustrative Mathematics
Illustrative Mathematics: Race to the Top
Students will practice counting, number identification, and writing numerals in this competitive game. This activity lends itself to many variations.
Illustrative Mathematics
Illustrative Mathematics: Start Stop Counting
Get your students moving with this fun counting game. Pick any number between one and one hundred and students will practice counting forward or backward with this "Duck Duck Goose" type game.
Illustrative Mathematics
Illustrative Mathematics: Bobbie Bear's Buttons
The purpose of this task is for students to find different pairs of numbers that sum to 4. Students will solve an everyday problem in their head and then model their solution using counters. They can represent their solutions using...
Illustrative Mathematics
Illustrative Mathematics: What Makes a Teen Number?
Students will learn about teen numbers by understanding the base-ten structure of teen numbers. They will fill-in a 10-frame and a blank equation as they complete the activity. Worksheet included.
Illustrative Mathematics
Illustrative Mathematics: Dice Addition 1
Students will practice counting, adding, and writing numerals with this activity. This would be an ideal independent activity for centers. An example of student work is included.
Illustrative Mathematics
Illustrative Mathematics: Longer and Heavier? Shorter and Heavier?
Students will compare the length and weight of several pairs of objects to learn that weight and length are separate measurable attributes, and not always related.
Illustrative Mathematics
Illustrative Mathematics: G Mg Satellite
This task models a satellite orbiting the Earth in communication with two control stations located miles apart on Earth's surface. Young scholars determine distances between various locations and, given a rate of travel, they determine...
Illustrative Mathematics
Illustrative Mathematics: G Mg the Lighthouse Problem
For this task, students are asked to calculate the height above sea level of a lamp on top of a lighthouse that is visible to a boat, and to examine two other interpretations of the distance from the lighthouse to the boat. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: G Mg a Ton of Snow
For this task, students are asked to find out how much snow has been shoveled using the concepts of area, depth, density, and rate. Aligns with HSG-MG.A.2.
Illustrative Mathematics
Illustrative Mathematics: G Mg Indiana Jones and the Golden Statue
The goal of this task is to provide an introduction to the sometimes subtle use of density and units related to density, in a simple and fun context with minimal geometric complexity. Includes video showing the opening scene of Raiders...
Illustrative Mathematics
Illustrative Mathematics: G Mg, G Gmd Global Positioning System Ii
Satellites communicate with a GPS device and establish the distance between them and their locations. The set of points at a fixed distance from a satellite form a sphere so when the GPS receives its distance from a given satellite, this...
Illustrative Mathematics
Illustrative Mathematics: G Mg How Thick Is a Soda Can? Variation Ii
In this task, students are given an aluminum soda can and are simply asked how they could determine how thick the can is. Aligns with G-MG.A.1 and G-MG.A.2.
Illustrative Mathematics
Illustrative Mathematics: G Mg How Thick Is a Soda Can? Variation I
In this task, students are given the dimensions of a soda can and are asked to estimate its thickness. They must first find the surface area and the volume of aluminum. Aligns with G-MG.A.1 and G-MG.A.2.