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 students 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 students 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.
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, learners will realize that equivalent expressions produce the same graph. The lesson 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 young scholars 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 young scholars 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
In 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 students to choose an operation in response to a question about structure. A-SSE.A.2.