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25 Results

Curriculum Module

Algebra I Module 5

Apr 15, 2016 - Algebra I Module 5: A Synthesis of Modeling with Equations and Functions In Module 5, students synthesize what they have learned during the year about functions to select the correct function type in...
Curriculum Module

Precalculus and Advanced Topics Module 3

Mar 24, 2016 - Students revisit the fundamental theorem of algebra as they explore complex roots of polynomial functions. They use polynomial identities, the binomial theorem, and Pascal’s Triangle to find roots...
Curriculum Module

Algebra II Module 3

Mar 24, 2016 - Exponential and Logarithmic Functions In this module, students synthesize and generalize what they have learned about a variety of function families. They extend the domain of exponential functions...
Curriculum Module

Algebra II Module 1

Mar 24, 2016 - Algebra II Module 1: Polynomial, Rational, and Radical Relationships Students connect polynomial arithmetic to computations with whole numbers and integers. Students learn that the arithmetic of...
Curriculum Module

Algebra I Module 4

Feb 09, 2016 - Algebra I Module 4: Polynomial and Quadratic Expressions, Equations, and Functions In earlier modules, students analyze the process of solving equations and developing fluency in writing,...
Curriculum Lesson

Algebra II Module 3, Topic A, Lesson 6

Jan 26, 2016 - Student Outcomes Students write an exponential function that represents the amount of water in a tank after t seconds if the height of the water doubles every 10 seconds. Students discover Euler’s...
Curriculum Topic

Algebra II Module 3, Topic A, Overview

Jan 26, 2016 - In Topic A, students both review what they already know about exponential expressions and functions with integer exponents, and extend the meaning of an exponential expression to allow for first...
Curriculum Topic

Algebra II Module 3, Topic B, Overview

Jan 26, 2016 - At the beginning of Topic B, students apply the properties of exponents to solve exponential equations numerically (F-BF.1a) as a way to motivate the need for logarithms, which are first introduced...
Curriculum Lesson

Algebra II Module 1, Topic B, Lesson 20

Jan 26, 2016 - Student Outcomes Students learn to fit polynomial functions to data values.
Curriculum Lesson

Algebra II Module 1, Topic B, Lesson 21

Jan 26, 2016 - Student Outcomes Students model a cross-section of a riverbed with a polynomial function and estimate fluid flow with their algebraic model.
Curriculum Lesson

Algebra II Module 1, Topic B, Lesson 16

Jan 26, 2016 - Student Outcomes Students transition between verbal, numerical, algebraic, and graphical thinking in analyzing applied polynomial problems.
Curriculum Lesson

Algebra II Module 1, Topic B, Lesson 17

Jan 26, 2016 - Student Outcomes Students transition between verbal, numerical, algebraic, and graphical thinking in analyzing applied polynomial problems.
Curriculum Topic

Algebra II Module 1, Topic B, Overview

Jan 26, 2016 - This topic focuses on factoring polynomials and the advantages of factored form of a polynomial to both solve equations and sketch graphs of polynomial functions. Students solve problems involving...
Curriculum Topic

Algebra I Module 4, Topic B, Overview

Jan 26, 2016 - Students apply their experiences from Topic A as they transform quadratic functions from standard form to vertex form, (x) = a(x - h)2 + k in Topic B. The strategy known as completing the square is...
Curriculum Topic

Algebra I Module 5, Topic A, Overview

Jan 26, 2016 - Topic A focuses on the skills inherent in the modeling process: representing graphs, data sets, or verbal descriptions using explicit expressions (F-BF.A.1a) when presented in graphic form in Lesson...
Curriculum Topic

Algebra I Module 5, Topic B, Overview

Jan 26, 2016 - Tables, graphs, and equations all represent models. We use terms such as “symbolic” or “analytic” to refer specifically to the equation form of a function model; “descriptive model” refers to a...
Curriculum Lesson

Algebra I Module 5, Topic B, Lesson 6

Jan 26, 2016 - Student Outcomes Students write equations to model data from tables, which can be represented with linear, quadratic, or exponential functions, including several from Lessons 4 and 5. They recognize...
Curriculum Lesson

Algebra I Module 5, Topic B, Lesson 7

Jan 26, 2016 - Student Outcomes Students use linear, quadratic, and exponential functions to model data from tables, and choose the regression most appropriate to a given context. They use the correlation...
Curriculum Lesson

Algebra I Module 5, Topic B, Lesson 8

Jan 26, 2016 - Student Outcomes Students model functions described verbally in a given context using graphs, tables, or algebraic representations.
Curriculum Lesson

Algebra I Module 5, Topic B, Lesson 9

Jan 26, 2016 - Student Outcomes Students interpret the function and its graph and use them to answer questions related to the model, including calculating the rate of change over an interval, and always using an...
Curriculum Lesson

Algebra I Module 5, Topic A, Lesson 1

Jan 26, 2016 - Student Outcomes From a graphic representation, students recognize the function type, interpret key features of the graph, and create an equation or table to use as a model of the context for...
Curriculum Lesson

Algebra I Module 5, Topic A, Lesson 3

Jan 26, 2016 - Student Outcomes Students make sense of a contextual situation that can be modeled with linear, quadratic, and exponential functions when presented as a word problem. They analyze a verbal...
Curriculum Lesson

Algebra I Module 5, Topic B, Lesson 4

Jan 26, 2016 - Student Outcomes Students create a two-variable equation that models the graph from a context. Function types include linear, quadratic, exponential, square root, cube root, and absolute value. ...
Curriculum Lesson

Algebra I Module 4, Topic B, Lesson 13

Jan 26, 2016 - Student Outcomes Students solve complex quadratic equations, including those with a leading coefficient other than 1, by completing the square. Some solutions may be irrational. Students draw...

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