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Core Plus: Discrete Mathematics

For Students 10th - 12th Standards
The Contemporary Mathematics in Context series provides a common core of broadly useful mathematics for all students. The discrete mathematics strand develops student ability to model and solve problems involving enumeration, sequential...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Parallelograms and Translations

For Teachers 9th - 10th Standards
In this task, students apply the definition of a parallelogram in the context of a geometric construction. Aligns with G-CO.C.11.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Inscribing an Equilateral Triangle in a Circle

For Teachers 9th - 10th Standards
Suppose we are given a circle of radius r. The goal of this task is to construct an equilateral triangle whose three vertices lie on the circle. Aligns with G-CO.D.13.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Temperatures in Degrees Fahrenheit and Celsius

For Teachers 9th - 10th
In this task involving temperature conversions, students construct a linear function given two input-output pairs, investigate the inverse of a linear function, and reason about quantities and/or solving a linear equation. Aligns with...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Inscribing a Square in a Circle

For Teachers 9th - 10th Standards
In this lesson, students learn how to inscribe a square in a circle. Aligns with G-CO.D.13
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S id.a.3 Identifying Outliers

For Teachers 9th - 10th Standards
In this task, students are asked to construct a box plot of the distances they live from school and describe the main features of the distribution. The purpose of this task is to develop students' understanding of how extreme data points...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Algae Blooms

For Teachers 9th - 10th Standards
This problem examines the growth of algal blooms in Chesapeake Bay. Learners build an exponential function modeling algae concentration based on the information provided, and gain an appreciation for the exponential growth exhibited...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C Circumcenter of a Triangle

For Teachers 9th - 10th Standards
The goal of this task is to construct the circumcenter of a triangle, that is, the point which is the same distance from each of the triangle's three vertices. This task shows that the three perpendicular bisectors of the sides of a...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Inscribing a Hexagon in a Circle

For Teachers 9th - 10th Standards
In this task, students inscribe a regular hexagon inside a circle and compare its area to that of the circle. Aligns with G-CO.D.13.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le a Valuable Quarter

For Teachers 9th - 10th
The context of this task is that a quarter was put into a bank account in 1901 and students are asked to calculate its value in 2013 at two different interest rates. Those amounts are compared to the appreciation rate of a rare and...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Do Two Points Determine a Linear Function Ii?

For Teachers 9th - 10th Standards
In this task, students investigate the relationship between linear equations and linear functions. Aligns with F-LE.A.2.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Kitchen Floor Tiles

For Teachers 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Basketball Bounces, Assessment Variation 2

For Teachers 9th - 10th Standards
This task asks students to analyze a set of data about the height of a basketball for each time it bounces. They choose a model that reasonably fits the data and use the model to answer questions about the physical context. This second...