Illustrative Mathematics
Illustrative Mathematics: A sse.b.4: Course of Antibiotics
This task presents a real world application, prescribing a course of antibiotics. In this task, a finite geometric series is utilized. Aligns with A-SSE.B.4.
Illustrative Mathematics
Illustrative Mathematics: F if.c.7.a, a sse.b.3, F if.c.7: Graphs of Quadratic
During this task, students will realize that equivalent expressions produce the same graph. The activity will lead to discussions about the value of different forms of equations. Aligns with F-IF.C.7.a, A-SSE.B.3, and F-IF.C.7.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.4: A Lifetime of Savings
The purpose of this instructional task is to give students an opportunity to construct and find the value of a geometric series in a financial literacy context. Aligns with A-SSE.B.4.
Illustrative Mathematics
Illustrative Mathematics: A sse.a.1.b and a sse.b.3 Increasing or Decreasing? 2
The purpose of this task is to help students see manipulation of expressions as an activity undertaken for a purpose. Aligns with A-SSE.B.3.
Illustrative Mathematics
Illustrative Mathematics: 8.g Partitioning a Hexagon
For this task, 8th graders are asked to partition a regular hexagon into congruent shapes and explain how they know they are congruent. Aligns with 8.G.A.
Illustrative Mathematics
Illustrative Mathematics: 8.g Areas of Geometric Shapes With the Same Perimeter
Eighth graders are shown three polygons with equal sides and a circle. They are asked to find the area of each when the perimeter is one unit and to order them from smallest area to largest. Aligns with 8.G.B.7.
Illustrative Mathematics
Illustrative Mathematics: 8.g Tile Patterns Ii: Hexagons
Eighth graders are presented with a pattern of octagon tiles. They are asked to answer questions about angle measures and hexagonal arrangements. Aligns with 8.G.A.5.
Illustrative Mathematics
Illustrative Mathematics: 8.g Tile Patterns I: Octagons and Squares
Eighth graders are presented with a tile pattern showing an apparent square surrounded by four octagons. They are asked to answer a question about congruency and angle measurements, as well as prove that the interior shape is really a...
Illustrative Mathematics
Illustrative Mathematics: 8.g, G Srt Points From Directions
For this problem, students must carefully read the description of a triangle and a fourth point that lies outside it and draw a picture to represent the problem. They must then use the Pythagorean Theorem to find side lengths. Aligns...
Illustrative Mathematics
Illustrative Mathematics: A sse.a.2: Equivalent Expressions
This problem expects learners to choose an operation in response to a question about structure. A-SSE.A.2.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.3: Ice Cream
This task illustrates the process of rearranging the terms of an expression to reveal different aspects about the quantity it represents. Aligns with A-SSE.B.3.
Illustrative Mathematics
Illustrative Mathematics: 4.g What Is a Trapezoid? (Part 1)
The purpose of this task is for students to articulate a definition for a trapezoid. Aligns with 4.G.A.2.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.3.c Forms of Exponential Expressions
This task can be used for assessment, practice or even to motivate young scholars via an in-class discussion of why it is useful to rewrite exponential expressions in equivalent forms. Aligns with A-SSE.B.3.c.
Illustrative Mathematics
Illustrative Mathematics: 4.g What Shape Am I?
In this task, students ultimately use the definitions they are given for three types of quadrilaterals and what they know about parallel sides to identify that a square fits all the definitions and explain why. Aligns with 4.G.A.2.
Illustrative Mathematics
Illustrative Mathematics: 4.g Are These Right?
The purpose of this task is for students to measure angles and decide whether the triangles are right or not. Aligns with 4.G.A.2.
Illustrative Mathematics
Illustrative Mathematics: 4.g Lines of Symmetry for Quadrilaterals
This task provides learners a chance to experiment with reflections of the plane and their impact on specific types of quadrilaterals. Aligns with 4.G.A.3.
Illustrative Mathematics
Illustrative Mathematics: 4.g Lines of Symmetry for Triangles
The division of triangles into scalene, isosceles, and equilateral can be thought of in terms of lines of symmetry. Aligns with 4.G.A.3.
Illustrative Mathematics
Illustrative Mathematics: 3.oa Patterns in the Multiplication Table
The goal is to look for structure and identify patterns in the multiplication table and then try to find the mathematical explanation for this. Aligns with CCSS.Math.Content.3.OA.D.9 Identify arithmetic patterns, and explain them using...
Illustrative Mathematics
Illustrative Mathematics: 3.oa Making a Ten
This task builds on that knowledge by asking them to study more carefully the make-a-ten strategy that they should already know and use intuitively. Aligns with CCSS.Math.Content.3.OA.D.9 Identify arithmetic patterns, and explain them...
Illustrative Mathematics
Illustrative Mathematics: 3.oa Symmetry of the Addition Table
The goal of this task is to help students understand the commutative property of addition by examining the addition facts for single digit numbers. Aligns with CCSS.Math.Content.3.OA.D.9 Identify arithmetic patterns, and explain them...
Illustrative Mathematics
Illustrative Mathematics: 3.oa Addition Patterns
The purpose of this task is to study some patterns in a small addition table. Aligns with CCSS.Math.Content.3.OA.D.9 Identify arithmetic patterns, and explain them using properties of operations.
Illustrative Mathematics
Illustrative Mathematics: 3.oa Gifts From Grandma, Variation 1
The first of these is a multiplication problem involving equal-sized groups. The next two reflect the two related division problems, How many groups? and How many in each group? CCSS.Math.Content.3.OA.A.3 Use multiplication and division...
Illustrative Mathematics
Illustrative Mathematics: 3.oa Finding the Unknown in a Division Equation
This task shows an equation that elicits key misconceptions around equations and division. Aligns with 3.OA.A.4 and CCSS.Math.Content.3.OA.A.4 Determine the unknown whole number in a multiplication or division
Illustrative Mathematics
Illustrative Mathematics: 3.oa the Class Trip
The purpose of this instructional task is for students to solve a two-step word problem and represent the unknown quantity with a variable. This task also addresses the concept of scarcity. Aligns with CCSS.Math.Content.3.OA.D.8 Solve...