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Core Plus: Discrete Mathematics
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...
Illustrative Mathematics
Illustrative Mathematics: G Co Parallelograms and Translations
In this task, students apply the definition of a parallelogram in the context of a geometric construction. Aligns with G-CO.C.11.
Illustrative Mathematics
Illustrative Mathematics: G Co Inscribing an Equilateral Triangle in a Circle
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.
Illustrative Mathematics
Illustrative Mathematics: F Bf Temperatures in Degrees Fahrenheit and Celsius
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...
Illustrative Mathematics
Illustrative Mathematics: G Co Inscribing a Square in a Circle
In this lesson, students learn how to inscribe a square in a circle. Aligns with G-CO.D.13
Illustrative Mathematics
Illustrative Mathematics: S id.a.3 Identifying Outliers
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...
Illustrative Mathematics
Illustrative Mathematics: F Le Algae Blooms
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...
Illustrative Mathematics
Illustrative Mathematics: G C Circumcenter of a Triangle
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...
Illustrative Mathematics
Illustrative Mathematics: G Co Inscribing a Hexagon in a Circle
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.
Illustrative Mathematics
Illustrative Mathematics: F Le a Valuable Quarter
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...
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Determine a Linear Function Ii?
In this task, students investigate the relationship between linear equations and linear functions. Aligns with F-LE.A.2.
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: F Le Basketball Bounces, Assessment Variation 2
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...