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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe Defining Parabolas Geometrically

For Teachers 9th - 10th Standards
The purpose of this task is to show that the points on a parabola can be characterized by being equidistant from a point (the focus) and a line (the directrix). Aligns with HSG-GPE.A.2.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Goodie Bags

For Teachers K - 1st Standards
Pairs of students will compare 3 quantities and order them from least to greatest. Students will select a pre-filled baggie and sort and count the contents. They will then arrange each group in order from least to most. This activity can...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Which Number Is Greater? Which Number Is Less?

For Teachers K - 1st Standards
The teacher will show the class two groups of objects or drawings of objects for the students to compare using greater than/less than language. Students will discuss in pairs how they know which number is greater or less than the other...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: The Napping House

For Teachers Pre-K - 1st Standards
The teacher reads "The Napping House" to the class, stopping each time a person or animal gets into the bed so the students can add a counter to the ten-frame. Ten-Frame printable is included.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: Number Rods

For Teachers Pre-K - 1st Standards
This activity gives young scholars practice counting for meaning using unifix cubes or snap cubes. Students will count the number of unifix cubes then match the rod up to the correct number on a number line. Extension activities are...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe a Midpoint Miracle

For Teachers 9th - 10th Standards
In this task, students are asked to draw a quadrilateral so that no two sides are congruent, no two angles are congruent, and no two sides are parallel. The task gives students the opportunity to prove that if we join the midpoints of a...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe, F Tf Coordinates of Points on a Circle

For Teachers 9th - 10th Standards
For this task, young scholars are shown a unit circle in a plane and an angle measured from the x-axis. They must determine the coordinates of the line segment for the angle and answer a question about the sum of the coordinates. The...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Gpe Triangle Perimeters

For Teachers 9th - 10th Standards
Students are shown two triangles touching points on a coordinate grid and are asked to answer questions about their perimeters. The purpose of this task is to apply the Pythagorean theorem to calculate distances and areas. Aligns with...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A ced.a.3 and a rei.d.12: Fishing Adventures 3

For Teachers 9th - 10th
During this illustrated instructional activity, students will write and solve inequalities, and they will represent their solutions graphically. Aligns with A-CED.A.3 and A-REI.D.12.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A ced.a.1 & a rei.d.1: Intro. To Polynomials: College

For Teachers 9th - 10th
This task serves as an introduction to polynomials or as an application after students are familiar with exponential functions. Aligns with A-REI.D.11.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c.7 & a rei.d.10: A Linear and Quadratic System

For Teachers 9th - 10th
The purpose of this task is to give young scholars the opportunity to make connections between equations and the geometry of the graphs. Aligns with A-REI.C.7and A-REI.D.10.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c.6: Find a System

For Teachers 9th - 10th
The purpose of this task is to encourage students to think critically about both the algebraic and graphical interpretation of systems of linear equations. Aligns with A-REI.C.6.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.d.10: Collinear Points

For Teachers 9th - 10th
This task leads young scholars through a series of problems which illustrate a crucial interplay between algebra and geometry. Aligns with A-REI.D.10.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.c.6: Accurately Weighing Pennies I

For Teachers 9th - 10th
In this problem, students will use the number of decimal places in the coefficients to motivate writing and solving a system of equations. Aligns with A-REI.C.6.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.b.4.a: Visualizing Completion of the Square

For Teachers 9th - 10th
The purpose of this visualization task is to help provide geometric intuition for the algebraic process called ''completing the square.'' Aligns with HSA-REI.B.4.a.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A rei.b: Integer Solutions to Inequality

For Teachers 9th - 10th
This task provides an instance of illustrating cluster without being limited to only linear equalities. Aligns with A-REI.B.