[Foundations For Functions][Parameter Changes][Linear][Quad Functions][Square Root Functions][Rational Functions][Exponential & Logarithmic][Conics]
Foundations for Functions (4 Weeks) |
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| The foundations for functions unit will build the concept of functions taught in Algebra I and will focus on addressing the foundation concepts such as parameter changes, domain and range, interdependence of variables and connections among multiple representations. These concepts will be revisited in the study of each unit dedicated to each of the functions studied in Algebra II. | |||||||
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| Objective |
TEKS (Not Necessarily in order) |
TEKS Clarification | TAKS Objectives | SATEC Lesson/Resource(s) | SATEC Correlated Assessment | Dana Center Assessments | Resources/Text |
| For a given application, identify the mathematical domain and range and the domain and range for the situation |
2A.1A
TEKS connections: 2A.6A, 2A.9C, 2A.10A, 2A.10C, 2A.11B, 2A.11C
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For a given application,
determine the independent and dependent variables and analyze the possible
domain and range values appropriate for the given situation. Use a data collection
activity to introduce each function from the Alg II TEKS in the context
of real life situations. Activities will be used again to launch
into an in-depth study of each function. After collecting data,
make a scatter plot, interpret the graph, and fit a curve to the graphed
data. Make a connection
between y = and f(x) = notation. Collect data,
make scatter plots, interpret graph. Define dependent
& independent variables. Emphasize similar characteristics
of functions. Graph all 6 parent
functions included in the Algebra II TEKS and identify them, connecting
the equation with the geometric model. Use technology such
as graphing calculators and/or computers to link multiple representations Transform a function
numerically and graphically and make generalizations. Emphasize similar characteristics of functions.
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Obj 1: Alg I A.1A, A.1B, A.1C, A.1D, A.1E
Obj 2: Alg I A.2A, A.2B, A.2C, A.2D, A.3A, A.3B, A.4A, A.4B
Obj 3: Alg I A.5A, A.5C, A.6A, A.6B, A.6C, A.6D, A.6E, A.6F
Obj 5: Alg I A.9B, A.9C, A.9D, A.11A
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Intro to Functions:
2B U ~2B
Introduction
to Linear Functions: Weight of Money |
Intro to Functions:
2B U ~2B: Reflect and
Apply The Weight of Money Reflect and Apply Winning 3 Pointer (Reflect and Apply) Attack of the Buzz Bugs:Reflect and Apply |
Parameter Changes Resources | |
| Collect and organize data , make scatterplots, fit the curve to a function, interpret the results, and model, predict, and make decisions. |
2A.1B
TEKS connections: 2A.8A, 2A.9E, 2A.10F
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Introduction
to Linear Functions: Weight of Money Introduction to Quadratic Functions: 3 Point Winning Shot Intro to Square Root Functions: Impact Intro to Rational Functions: In Perspective Intro to Exponential Functions: Attack of the Buzz Bugs Intro to Logarithmic Functions: What's Shakin' |
The Weight of Money Reflect and Apply Winning 3 Pointer (Reflect and Apply) Attack of the Buzz Bugs:Reflect and Apply |
Parameter Changes Resources | |||
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Recognize that functions can be denoted in many forms: y =, d =, y =, and f(x) = and determine which form is the most appropriate for a given situation.
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2A.2C |
Parameter Changes Resources | |||||
| Identify and sketch graphs of all six parent functions used in Algebra II. |
2A.4A
TEKS connections: 2A.6B, 2A.7A,
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Introduction
to Linear Functions: Weight of Money Introduction to Quadratic Functions: 3 Point Winning Shot Intro to Square Root Functions: Impact Intro to Rational Functions: In Perspective Intro to Exponential Functions: Attack of the Buzz Bugs Intro to Logarithmic Functions: What's Shakin' |
The Weight of Money Reflect and Apply Winning 3 Pointer (Reflect and Apply) Attack of the Buzz Bugs:Reflect and Apply |
Parameter Changes Resources | |||
| Extend parent functions with parameters and describe parameter changes of graphs of parent functions. |
2A.4B
TEKS connections 2A.9A
|
Parameter Changes Resources | See Parameter Changes Resources |
Algebra II TEKS TEAMS 1.1 |
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| Recognize a situation that can be modeled by a function and relate various representations of functions. |
TEKS connections 2A.6B, 2A.7B, 2A.9B
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Introduction
to Linear Functions: Weight of Money Introduction to Quadratic Functions: 3 Point Winning Shot Intro to Square Root Functions: Impact Intro to Rational Functions: In Perspective Intro to Exponential Functions: Attack of the Buzz Bugs Intro to Logarithmic Functions: What's Shakin' |
The Weight of Money Reflect and Apply Winning 3 Pointer (Reflect and Apply) Attack of the Buzz Bugs:Reflect and Apply |
Parameter Changes Resources | |||
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Perceive connections between algebra
and geometry and use tools of one to solve problems of the other |
BU A5 | Intro to Functions: 2BU~2B | Intro to Functions: 2BU~2B: Reflect and Apply | ||||
| Use math processes throughout, including problem solving, computation, communication, connections, reasoning, multiple representations, modeling, and justification | BU A6 |
Intro to Functions:
2BU~2B Introduction to Linear Functions: Weight of Money Introduction to Quadratic Functions: 3 Point Winning Shot Intro to Square root Functions: Impact Intro to Rational Functions: In Perspective Intro to Exponential Functions: Attack of the Buzz Bugs Intro to Logarithmic Functions: What's Shakin' |
Intro to Functions:
2BU~2B: Reflect and
Apply The Weight of Money Reflect and Apply Winning 3 Pointer (Reflect and Apply) Attack of the Buzz Bugs:Reflect and Apply |
Parameter Changes Resources | |||