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Activity Sequence for Unit 0
Resource:
Activity Sequence for Unit 0

This is my activity sequence from Unit 0.  I've "borrowed" heavily from:
Constance Bowen (a2i Teacher)
Jo Boaler (See https://www.youcubed.org/)
a2i (for Mindset and Instructional Activities)

Analyzing Periodic Functions

Resource:
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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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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Calculating Pi

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Calculating Pi

The goal of this lesson is to activate students’ current understanding of statistical sampling methods to find an accurate count of a number of dots in an image and then use the results of their sampling to find the value of π. The focus for this lesson should be on the different sampling methods, not the calculation of π.

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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 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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Completing the Square #2

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Completing the Square #2

Connect standard form and vertex form of a quadratic to an area model representation to see how negative values of h in the vertex form impact the visual and the standard form.

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Connecting Sequences to Equations

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Connecting Sequences to Equations

Students will look for connections between linear equations and visual sequences in order to learn how to chunk visual sequences and linear equations into parts that grow and parts that do not change. This involves one pair of students manipulating an interactive applet while other students watch and make their own connections with a partner.

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Constructing Systems

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Constructing Systems

The goal of these activities is to support students in understanding how to identify quantities and relationships within various situations and use those quantities and relationships to create equations, tables of values, and graphs, then use those representations to solve problems related to the situations.

Distinguishing Functions: Even, Odd, Neither

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Distinguishing Functions: Even, Odd, Neither

Students will look at examples of Even and Odd functions to generate their own definitions and then further refine their definitions and understanding with a matching activity. There will also be opportunity for students to re-visit and refine their understanding of different function families.

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Distinguishing Quadratics

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Distinguishing Quadratics

This Core Resource, when complete, will focus how we can distinguish quadratic functions from linear and exponential functions based on their properties when represented as sequences, tables, graphs, focusing on using rate of change to find intervals of a function that are increasing, decreasing, positive, negative, and symmetry of a function (if any).

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