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Analyzing Periodic Functions

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Analyzing Periodic Functions

Students constructed a shared definition of a periodic function and describe features of periodic functions that are important to determining if a function is periodic or not. Students are also introduced to a specific periodic function, the cosine function, through analyzing its equation and graph. 

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Applying Systems

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Applying Systems

This Core Resource allows students to deepen their understanding of systems of equations by looking at student work samples and applying what they know to contextual problems.

Area Problem

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Area Problem

This single-day resources gives students an opportunity to deepen their understanding of trigonometry, special triangles, while giving them a preview of area.

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Characteristics of Quadratics

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Characteristics of Quadratics

Students analyze different representations of quadratic functions to determine what characteristics of quadratic functions are true for every quadratic function, and then extend their understanding to analyze polynomial functions.

Circles and Segments

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Circles and Segments

These four parts are designed to support students in making connections between chord, secant, and tangent line relationships in circles and creating proofs of these relationships using triangle similarity.

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Classifying Sequences

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Classifying Sequences

This resource is in rough draft form but will support students in classifying sequences.

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Comparing Events

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Comparing Events

This partially constructed Core Resource is intended to support students in making connections between the sample spaces for events and the formulas that can be used to calculate the probability of those events occurring.

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Comparing Models

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Comparing Models

This Core Resource supports students in investigating, primarily using rate of change, how linear functions are different than exponential functions.

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Comparing Perimeter, Area, and Volume

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Comparing Perimeter, Area, and Volume

These three parts are intended to support students in making connections between 2 dimensional and 3 dimensional objects, especially how scaling changes these objects and how we can carefully partition objects in order to make relationships between two otherwise different geometric shapes.

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Comparing Rates of Change

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Comparing Rates of Change

Students start by creating definitions of linear and exponential functions by analyzing examples and non-examples of these types of functions. Students then use what they have learned about linear and exponential functions to solve word problems related to these function types. What is not covered in this resource is representing piecewise, step, or absolute functions as graphs, calculating average rate of change, and writing explicit and recursive descriptions of functions.

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Comparing Rates of Change v2

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Comparing Rates of Change v2

Students compare arithmetic and geometric sequences and connect these two linear and exponential functions respectively. Students then analyze situations to determine what function type, linear or exponential, best models the situation.  

What is not yet covered in this resource is representing piecewise, step, or absolute functions as graphs, calculating average rate of change, and writing explicit and recursive descriptions of functions.

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Completing the Square

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Completing the Square

Students are introduced to completing the square and the quadratic formula and make connections between these two processes for solving quadratic equations and their corresponding quadratic functions.

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