Illustrative Mathematics
Illustrative Mathematics: 3.nf Comparing Fractions
The purpose of this task is for students to compare fractions using common numerators and common denominators and to recognize equivalent fractions. Aligns with CCSS.Math.Content.3.NF.A.3.a Understand two fractions as equivalent (equal)...
Illustrative Mathematics
Illustrative Mathematics: 3.nf Ordering Fractions
The purpose of this task is to extend students' understanding of fraction comparison and is intended for an instructional setting. Aligns with 3.NF.A.3.
Illustrative Mathematics
Illustrative Mathematics: Analyzing Word Problems Involving Multiplication
The purpose of this task is for students to analyze different contexts in which multiplication is appropriate. CCSS.Math.Content.3.OA.A.3 Use multiplication and division within 100 to solve word problems
Illustrative Mathematics
Illustrative Mathematics: 3.oa Markers in Boxes
The purpose of this task is for students to compare two problems that draw on the same context but represent the two different interpretations of division, namely, the How many groups? interpretation and the How many in each group?...
Illustrative Mathematics
Illustrative Mathematics: 3.oa Fish Tanks
The purpose of this task is to provide an opportunity for students to demonstrate that they can interpret within a given context the meaning of whole number quotients. Aligns with 3.OA.A.2. CCSS.Math.Content.3.OA.A.2 Interpret...
Illustrative Mathematics
Illustrative Mathematics: 3.nf Snow Day
The purpose of this task is for students to investigate a claim about a comparison of two fractions in a context. Aligns with 3.NF.A.3.
Illustrative Mathematics
Illustrative Mathematics: Fraction Comparisons Pictures, Assessment Variation
This task is about comparing two fractions with the same numerator or the same denominator by reasoning about their size, and understanding that such comparisons are valid only when the fractions refer to the same whole. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: Comparing Fractions Same Numerator, Assessment
This task is about comparing two fractions with the same numerator or the same denominator by reasoning about their size, and understanding that such comparisons are valid only when the fractions refer to the same whole. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: Comparing Fractions Same Denominator, Assessment
This task is about comparing two fractions with the same numerator or the same denominator by reasoning about their size, and understanding that such comparisons are valid only when the fractions refer to the same whole. Aligns with...
Illustrative Mathematics
Illustrative Mathematics: A apr.c.5 and a apr.a.1: Powers of 11
This task has learners combine polynomial arithmetic with pattern-matching. Aligns with A-APR.C.5 and A-APR.A.1.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.3.a and a sse.a.2: Cubic Identity
This task presents a challenging exercise in both algebraic manipulations and seeing structure in algebraic expressions. Aligns with A-SSE.B.3.a and A-SSE.A.2.
Illustrative Mathematics
Illustrative Mathematics: 8.g Find the Missing Angle
In this task, 8th graders are presented with a drawing of two parallel lines connected through two line segments. They are given the measures of two angles and are asked to find a third. Aligns with 8.G.A.5.
Illustrative Mathematics
Illustrative Mathematics: 8.g Shipping Rolled Oats
For this task, 8th graders must determine the optimal dimensions of a cardboard box that will hold six cylinders of oats. To do this, they need to make surface area and volume calculations. Aligns with 8.G.C.9.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.2: Throwing a Ball
Using a ball thrown vertically as the real life scenario, this task has a couple of aspects designed to encourage learners to attend to the structure of a given equation and the meaning of the variables in it. Aligns with HSA-CED.A.2.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.4: Rewriting Equations
The goal of this task is to manipulate equations in order to solve for a specified variable. Aligns with HSA-CED.A.4.
Illustrative Mathematics
Illustrative Mathematics: A apr.b.3 and a apr.b.2: Graphing From Factors Iii
The task has students use the remainder theorem to deduce a linear factor of a cubic polynomial, and then to completely factor the polynomial. Aligns with A-APR.B.3 and A-APR.B.2.
Illustrative Mathematics
Illustrative Mathematics: 8.g.a Triangle's Interior Angles
In this task, 8th graders are presented with a drawing of two parallel lines with a triangle touching them at all three of its vertices. They are asked to prove that the sum of the triangles' angles equals 180 degrees. Aligns with 8.G.A.5.
Illustrative Mathematics
Illustrative Mathematics: 8.g, G Gpe, G Srt, G Co Is This a Rectangle?
For this task, students are given four sets of coordinate pairs and are asked to determine if they represent a rectangle. Aligns with 8.G.A, 8.G.B, G-CO.B, G-GPE.B, and G-SRT.B.5.
Illustrative Mathematics
Illustrative Mathematics: 8.g a Rectangle in the Coordinate Plane
In this task, 8th graders are shown a picture of a quadrilateral on a coordinate grid and are asked to use the Pythagorean Theorem to find lengths and to explain why the quadrilateral is a rectangle. Aligns with 8.G.B.
Illustrative Mathematics
Illustrative Mathematics: 8.g Reflecting Reflections
In this task, 8th graders are shown a picture of a triangle on a coordinate grid and are asked to draw and label reflections and explain a transformation. Aligns with 8.G.A.3.
Illustrative Mathematics
Illustrative Mathematics: 8.g Reflecting a Rectangle Over a Diagonal
In this task, 8th graders are presented with several rectangles that have diagonal lines through them and are placed on grids. They are asked to draw reflections and to discuss rectangles that are squares. Aligns with 8.G.A.
Illustrative Mathematics
Illustrative Mathematics: 8.g Congruent Rectangles
Eighth graders are shown two rectangles with the same side lengths and are asked to answer questions about congruence and transformations. Aligns with 8.G.A.2.
Illustrative Mathematics
Illustrative Mathematics: 8.g Glasses
In this task, 8th graders are presented with a drawing of three glasses of different shapes and their measurements. They are asked to make several calculations that require the application of the Pythagorean Theorem and volume formulas....
Illustrative Mathematics
Illustrative Mathematics: A sse.b.4: Cantor Set
This tasks requires learners to explore properties of the Cantor Set, which has many uncountable points, no intervals of real numbers, and has length of zero. Aligns with A-SSE.B.4.