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Algebra 1Algebra A

The first half of algebra will introduce you to the fundamental skills and fundamental languagerequired to master mathematics in high school and beyond. The idea of representing relations inmultiple forms and translating between forms will be emphasized along with finding solutions a variety

of ways. The manipulation of functions will be restricted to linear ones for the first half.

Unit 1 Algebra SkillsThis unit will emphasis that in order to complete a task like cook chicken, you have many option as tohow to cook it (barbecued, baked, fried, stir fried, etc.) some ways are better in certain situations. Youneed to choose. Then you will need some skills, defrost, cut, marinade, work grill, work wok, etc. Theproblems in this unit emphasis the skills needed to model and apply models of relations also, the unitwill give you practice at them. These skills will be applied to a task, such as finding a solution,representing a relation different ways, creating a model, making predictions, and supporting ordrawing conclusions. In other words should you purchase cell phone plan A or B, should yourcompany produce xwidgets and ygadgets, or how much pollution will the factory next door beproducing 10 years from now.

1-1 Variables and Expressions1-2 Order of Operations1-3 Open Sentences1-4 Identity and Equality Properties1-5 The Distributive Property1-6 Identifying Like Terms and Combining Like Terms1-7 Commutative and Associative Properties1-8 Number Systems1-9 Operations with Real Numbers1-10 Functions and Graphs

Unit 2 Solutions to Linear EquationsOne of the most used skills in math is finding the solution of an equation. In other words you want tofind the thing or things that make the equation true. Sometimes it is a single number other times it isan expression with other variables in it. Sometimes it is even a picture, word, or several numbers. Ormaybe you find that nothing will ever work or sometimes anything will work. You have already hadexperience with the simplest method to find a solution and that is to guess and check. Granted mostof the time these arent random guesses, but very thought out and planned guess. In this unit you willlearn of a second (more precise) way of finding a solution by transforming the equation to isolate thevariable. This is accomplished by doing equivalent operations to both sides of the equation. Note twoimportant ideas here. The first is this is just another method to finding a solution and you will learnmany other ways throughout this course. The second is real important; DONT THINK THAT THIS ISTHE ONLY WAY AND THIS IS WHAT YOU ALWAYS DO WHEN A PROBLEM SAYS SOLVE.

2-1 Writing Equations2-2 Rewriting Equations2-3 Solving Equations by Using Addition and Subtraction2-4 Solving Equations by Using Multiplication and Division2-5 Solving Multi-Step Equations2-6 Solving Equations with the Variable on Each Side2-7 Solving for a Specific Variable

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Unit 3 Relations to FunctionsThis unit is an introduction to the idea of relations and how to see patterns. We will look at severalcommon relations that occur often in the real world. These relations are functions such as linear,exponential, quadratic, cubic, and trigonometric. The emphasis for the rest of this trimester with focuson linear functions, but the same principles will apply across other relations. So pay close attention.Our goal will be to create a model for a relation so we can make predictions and support conclusions.We will introduce how we can represent a relation 5 different ways. The 5 ways are as a graph, a setof ordered pairs, a table, a mapping, and an equation. As with anything some ways are more practica

and efficient depending on what we want to do with the model. Remember this unit will just introducevarious relations and some skills for manipulating and communicating about them with propermathematical language.

3-1 Representing Relations3-2 Representing Functions3-3 Linear Functions3-4 Recursive Sequences3-5 Arithmetic and Geometric Sequences

Unit 4 Linear Equations (Functions)

Linear functions have the special property, which is being a relation where there exists a constantrate of change between the two quantities. For example with some cell phone plans the cost isrelated to minutes used. This often is a linear relation with a constant rate of change. For everyminute you use the phone your bill goes up by 5 cents (a constant rate), you may have had an initialfee or not. This unit will focus on different ways of creating an equation from various pieces ofinformation and investigate special elements of linear equations such as slope and intercepts.

4-1 Rate of Change and Slope4-2 Slope and Direct Variation4-3 Slope-Intercept Form4-4 More Slope-Intercept Form

4-5 Writing Equations in Point-Slope Form4-6 Statistics Scatter Plots and Lines of Fit4-7 Geometry Parallel and Perpendicular Lines

Unit 5 Solving System of EquationsIn the 2nd unit we explored a way to find the solution to an equation with only one variable. This unitwill be devoted to 3 methods used to find solutions to equations that have 2 or 3 variables. If we have2 equations with 2 variables (unknowns), the solution will be the value of the 2 variables the makeBOTH equations true. Notice a solution is the same as it was in the beginning. It is just a value orvalues that make a statement true. As with the earlier equations, a specific solution may or may notexist.

5-1 Graphing Systems of Equations5-2 Substitution5-3 Elimination Using Addition and Subtraction5-4 Elimination Using Multiplication5-5 Applying Systems of Linear Equations5-6 Solving Systems of 3 Equations

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Unit 6 Special Uses of AlgebraThe concepts presented in this unit are widely applied to many fields. Whether you plan to pursue acareer in business, the sciences, or the arts, the use of formulas, ratios, proportions, percents, andaverages to find quantities is abundant. Also, the ready availability of technology makes it importantto see how they can be used to perform many of the tasks explored during this semester.

6-1 Graphical Views of Solving Linear Equations6-2 Using Formulas

6-3 Ratios and Proportions6-4 Percent of Change6-5 Weighted Averages