Illustrative Mathematics
Illustrative Mathematics: A Rei Reasoning With Linear Inequalities
Students are presented with a solution to an inequality and are asked to find two mathematical errors and explain why they are incorrect. Aligns with A-REI.B.3 and A-REI.A.1.
Illustrative Mathematics
Illustrative Mathematics: A Rei Two Squares Are Equal
This task asks students to solve a quadratic equation in as many different ways as they can. Aligns with A-REI.B.4 and A-REI.D.11.
Illustrative Mathematics
Illustrative Mathematics: A Rei.1 2 Same Solutions?
Young scholars are shown six equations and must identify those that have the same solution and give their reasoning, without depending on actually solving them. This task encourages students to look for structure when comparing equations...
Illustrative Mathematics
Illustrative Mathematics: A Rei Solution Sets
For this task, students are shown the graphs of two equations, with areas bounded by their lines and intersections shaded in different colors. They are asked to write a system of equations or inequalities for each shaded area and explain...
Illustrative Mathematics
Illustrative Mathematics: A Rei Radical Equations
The purpose of the task is to show students a situation where squaring both sides of an equation can result in an equation with more solutions than the original one, because it is possible to have two unequal numbers whose squares are...
Illustrative Mathematics
Illustrative Mathematics: A Sse Delivery Trucks: Assessment Variation
This is an assessment task that has students look for structure in algebraic expressions related to the context of trucks delivering concrete blocks and asks them to relate that structure to the context. Aligns with A-SSE.A.1 and...
Illustrative Mathematics
Illustrative Mathematics: A Sse Throwing Horseshoes
This task about the height of a horseshoe in flight requires learners to identify expressions as sums or products and interpret each summand or factor. Aligns with A-SSE.A.1.
Illustrative Mathematics
Illustrative Mathematics: A Sse Increasing or Decreasing? Variation 1
This task asks students to examine an expression that has a denominator represented by the addition of two fractions. Each of those fractions has a denominator that is a variable. They are asked to analyze the structure of the expression...
Illustrative Mathematics
Illustrative Mathematics: A Sse Delivery Trucks
This task asks students to analyze four expressions to determine what each represents in terms of the problem's context, which is about two trucks delivering different amounts of sand in different numbers of trips. Aligns with A-SSE.A.1...
Illustrative Mathematics
Illustrative Mathematics: A Sse Animal Populations
In this task, students have to interpret expressions involving two variables in the context of a real-world problem about animal populations. Aligns with A-SSE.A.1, A-SSE.A.1.a, and A-SSE.A.2.
Illustrative Mathematics
Illustrative Mathematics: A Sse the Bank Account
For this task, students are asked to interpret equations representing a bank account's balance where the interest is compounded monthly versus yearly. Aligns with A-SSE.A.1 and A-SSE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: A Sse Mixing Candies
This task about a box of chocolates has students use the given equations to answer questions about weight and price, as well as interpret the expressions in the equations. Aligns with A-SSE.A.1 and A-SSE.A.1.a.
Illustrative Mathematics
Illustrative Mathematics: A Sse Kitchen Floor Tiles
The purpose of this task about tiling a kitchen floor is to give students practice in reading, analyzing, and constructing algebraic expressions, attending to the relationship between the form of an expression and the context from which...
Illustrative Mathematics
Illustrative Mathematics: A Sse Seeing Dots
The purpose of this task is to identify the structure in the two algebraic expressions by interpreting them in terms of a geometric context, a series of squares filled with dot arrangements. Learners are asked to notice a pattern and...
Illustrative Mathematics
Illustrative Mathematics: A Sse Sum of Even and Odd
In this task, students use the structure of an expression to find ways to rewrite it. They are asked to use the defining property of even and odd functions to manipulate expressions involving function notation and to see the structure in...
Illustrative Mathematics
Illustrative Mathematics: A Sse Quadrupling Leads to Halving
This question provides learners with an opportunity to see expressions as constructed out of a sequence of operations: first taking the square root of a denominator, then dividing the result of that operation into the numerator. Aligns...
Illustrative Mathematics
Illustrative Mathematics: A Sse Profit of a Company, Assessment Variation
This is an assessment task that examines students' understanding of how to interpret the structure of expressions. Aligns with A-SSE.A.1 and A-SSE.B.3.
Illustrative Mathematics
Illustrative Mathematics: 3.oa Two Interpretations of Division
Students practicing dividing and application of division. Aligns with CCSS.Math.Content.3.OA.A.3 Use multiplication and division within 100 to solve word problems
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: 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: 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: A apr.c.5 and a apr.a.1: Powers of 11
This task has students combine polynomial arithmetic with pattern-matching. Aligns with A-APR.C.5 and A-APR.A.1.