Illustrative Mathematics
Illustrative Mathematics: 7.ee Equivalent Expressions
A performance task asking young scholars to determine if two equations show an equivalent expression.
Illustrative Mathematics
Illustrative Mathematics: 7.ee Discounted Books
A performance task asking middle schoolers to see two different ways to look at percentages, as an increase and as a decrease of an original amount.
Illustrative Mathematics
Illustrative Mathematics: G Srt Similar Triangles
The goal of this task is to examine similarity of triangles from the point of view of proportional sides, showing that this is sufficient to conclude that two triangles are similar. Aligns with HSG-SRT.A.2.
Illustrative Mathematics
Illustrative Mathematics: G Srt Folding a Square Into Thirds
The goal of this task is to apply knowledge about similar triangles in order to understand an origami construction: trisection of the side of a square. Aligns with G-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: 6.sp.1 Identifying Statistical Questions
A task asking students to determine which of the seven questions listed are statistical questions and which are not.
Illustrative Mathematics
Illustrative Mathematics: G Srt Bank Shot
This task asks students to use similarity to solve a pool table problem. Students must use the fact from physics that when an object bounces off of a wall, the angle of incidence equals the angle of reflection. Aligns with G-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: 6.rp, 7.rp.3 Climbing the Steps of El Castillo
A performance task in which young scholars solve a problem involving a proportional relationship. The problem is: The temple at the top of the pyramid is approximately 24 meters above the ground, and there are 91 steps leading up to the...
Illustrative Mathematics
Illustrative Mathematics: 6.sp Buttons: Statistical Questions
A task asking students to determine which of the six questions listed are statistical questions and which are not. Students are then asked to write a statistical question of their own.
Illustrative Mathematics
Illustrative Mathematics: 6.sp Puppy Weights
A performance task asking students to create a graph of provided information and then answer two questions about the information provided with that graph.
Illustrative Mathematics
Illustrative Mathematics: G Srt Are They Similar?
In this task, students are shown two triangles that appear to be similar, but whose similarity cannot be proven without further information. Students are asked to provide a sequence of similarity transformations that maps one triangle to...
Illustrative Mathematics
Illustrative Mathematics: G Srt Dilating a Line
In this task, students investigate a dilation of a line segment and how the length of the dilation relates to the scale factor. Aligns with G-SRT.A.1.
Illustrative Mathematics
Illustrative Mathematics: G Srt Joining Two Midpoints of Sides of a Triangle
In this task, students must prove that angles and triangles are congruent and that a parallel line passes through the midpoints of two sides of the larger triangle. Aligns with G-SRT.B.4.
Illustrative Mathematics
Illustrative Mathematics: G Srt Extensions, Bisections, Dissections in Rectangle
In this task, students must draw a diagram from a verbal description and use their understanding of similar triangles to find the area of a quadrilateral. Aligns with G-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: G Srt Similar Quadrilaterals
The goal of this task is to study if the analog of the AA criterion for similarity of triangles holds for different types of quadrilaterals. Aligns with HSG-SRT.A.2.
Illustrative Mathematics
Illustrative Mathematics: G Srt Finding the Area of an Equilateral Triangle
This task examines how to calculate the area of an equilateral triangle two ways: using triangle congruence and using trigonometric ratios. Aligns with G-CO.C.10 and G-SRT.C.
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
In 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, learners 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 young scholars to find the amount of water displaced in Archimedes'...
Illustrative Mathematics
Illustrative Mathematics: Sort and Count Ii
The purpose of this task is for young scholars 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...
Illustrative Mathematics
Illustrative Mathematics: Pick a Number, Counting On
Students 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 that...