Algebra 1 (& GT)
Unit 1: Representing Functional Relationships
In this unit, students learn about the concept of function and use function notation. Students also develop fluency writing, interpreting, and translating between various forms of linear equations and inequalities, and using them to solve problems. They master the solution of linear equations and apply related solution techniques and the laws of exponents to the creation and solution of simple exponential equations. All of this work is grounded on understanding quantities and on relationships between them.
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What will my child learn?
Students will:
Understand the concept of a function and use function notation.
F.IF.A.1
Understanding that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
F.IF.A.2
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Create equations that describe numbers or relationships.
A.CED.A.2
Create linear equations to represent relationships between quantities; graph equations on coordinate axes with labels and scales (SAT® Content  HOA.01  HOA.05).
Represent and solve equations and inequalities graphically.
A.REI.D.10
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Students will:
Understand the concept of a function and use function notation.
F.IF.A.1
Understanding that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
 Background Info.
 Check for Understanding: Domain of Advanced Functions  Range of Quadratic Functions
 Review/Rewind: Finding Domain and Range of a Function
 Enrichment Tasks: Domains  Points on a Graph
F.IF.A.2
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
 Background Info.
 Check for Understanding: Evaluating Function Expressions  Evaluating Functions
 Review/Rewind: Evaluating Expressions with Function Notation
 Enrichment Tasks: Using Function Notation II  Random Walk II
Create equations that describe numbers or relationships.
A.CED.A.2
Create linear equations to represent relationships between quantities; graph equations on coordinate axes with labels and scales (SAT® Content  HOA.01  HOA.05).
 Background Info.
 Check for Understanding: Linear Models Word Problems
 Review/Rewind: Linear Models
 Enrichment Tasks: Silver Rectangle  How Much Folate?
Represent and solve equations and inequalities graphically.
A.REI.D.10
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
 Background Info.
 Check for Understanding: Interpreting Graphs of Functions
 Review/Rewind: Recognizing Linear Functions
 Enrichment Task: Collinear Points
What are some signs of student mastery?

Tools and Technology
The Algebra Balance Scale tool (National Library of Virtual Manipulatives) helps reinforce a "sense of balance" when reasoning about equations. This online tool allows you to solve simple linear equations through the use of a balance beam. Unit blocks (representing 1s) and Xboxes (for the unknown, X), are placed on the pans of a balance beam. Once the beam balances to represent the given linear equation, you can choose to perform any arithmetic operation with whole numbers and multiples of the variable 'x', as long as you DO THE SAME THING TO BOTH SIDES, thus keeping the beam balanced. The goal, of course, is to get a single Xbox on one side, with however many unit blocks needed for balance, thus giving the value of X. Note: This tool requires Java. Domain and Range Game  This game from Quia allows one or two players to practice domain and range using a Jeopardy style format. This game is free and does not require a download. Function Notation Practice Game  This game from Quia allows one or two players to practice function notation using a Jeopardy style format. This game is free and does not require a download. Graphing Linear Functions Using an Equation  IXL is a free online site that works on any computer or tablet. This program will give an equation and have you graph it on a coordinate grid. You will be told if you were correct or incorrect with a detailed explanation. 
Source: The Teaching Channel
