9th+Algebra+I

**9th Grade Algebra 1 (2012-2013)**
This year we will be constantly working toward two main goals. The first is that **we will all master the fundamental concepts of algebra**. Secondly**, we will all be able to apply algebra skills to real world situations**. In order to reach these objectives, each unit will focus first on our mastery of essential algebra skills and then on more complex word problems that require our application of these skills. The unit and semester exams will be designed to assess our accomplishment of these two main objectives, and thus, our success on these exams will reflect our accomplishment of our two main goals.
 * Goals: **

You should expect to have homework every night, a quiz about every week, and an exam at the end of each unit. I will determine your participation grade based on your daily attendance, your involvement during class, and your engagement outside of class time with the material that we cover. I will make myself available on study hall days and by appointment for extra help. Each quarter grade will be calculated as follows:
 * Grading Policy: **

Participation 10% Homework 20% Quizzes 20% __ Unit exams __ __50%__ __ Total 100% = Final Quarter Grade __

__ 1st/3rd Quarter Grade 40% __ __ 2nd/4th Quarter Grade 40% __ Semester Exam 20% Total 100% = Final Semester Grade

Larson, Ron et al. //Algebra I// (2007) ISBN-13: 978-0-6185-9556-3 McDougal Littell
 * Textbook: **
 * Schedule: **
 * ** UNIT ** || ** TOPICS ** || ** SKILLS ** ||
 * 1 || Expressions, Equations, and Functions || * Evaluating expressions
 * Applying the order of operations
 * Writing expressions
 * Writing equations and inequalities
 * Solving word problems
 * Representing functions as rules and tables
 * Representing functions as graphs ||
 * 2 || Properties of Real Numbers || * Adding, subtracting, multiplying, and dividing real numbers
 * Applying the distributive property ||
 * 3 || Solving Linear Equations || * Solving multi-step equations
 * Solving ratio, proportion, and percent problems ||
 * || End of 1st Quarter ||  ||
 * 4 || Graphing Linear Equations and Functions || * Finding slope and rate of change
 * Graphing using slope-intercept form ||
 * 5 || Writing Linear Equations || * Writing linear equations in slope-intercept form, point-slope form, and standard form
 * Writing equations of parallel and perpendicular lines
 * Predicting with linear models
 * Performing linear regression ||
 * || End of 2nd Quarter ||  ||
 * 6 || Solving and Graphing Linear Inequalities || * Solving multi-step inequalities using addition, subtraction, multiplication, and division
 * Solving compound inequalities
 * Solving absolute value equations and inequalities
 * Graphing linear inequalities in two variables ||
 * 7 || Systems of Equations and Inequalities || * Solving linear systems by graphing, substitution, adding or subtracting, and multiplying ||
 * 8 || Exponents and Exponential Functions || * Apply exponent properties involving products and quotients
 * Use zero and negative exponents
 * Use scientific notation
 * Write and graph exponential growth and decay functions ||
 * || End of 3rd Quarter ||  ||
 * 9 || Polynomials and Factoring || * Add, subtract, multiply, and divide polynomials
 * Find special products of polynomials
 * Solve polynomial equations in factored form
 * Factor special products of polynomials
 * Factor polynomials completely ||
 * 10 || Quadratic Equations and Functions || * Solving quadratic equations by graphing
 * Solving quadratic equations using square roots
 * Solving quadratic equations by completing the square
 * Solving quadratic equations by the quadratic formula
 * Compare linear, exponential, and quadratic models ||
 * || End of 4th Quarter ||  ||

//(Previous syllabus below)// Homework **Goal** The purpose of this course is to teach students the foundational skills and concepts of algebraic math. Mastery of key skills is expected and essential for continuing on to higher algebra and geometry. In addition, we will explore how concepts in the course relate to real world careers and problem solving. **Materials** //Every day// you will need to bring: // Please // do // not // bring or use a calculator unless I or the textbook explicitly calls for one.
 * Your textbook, //Algebra// (UCSMP)
 * Your homework __spiral__
 * Pencil(s)
 * An anything-but-black pen

**Expectations** Students are expected to follow the rules of conduct in the student handbook. In general, I expect you to show respect to yourself, to your colleagues, and to your teacher. I also ask that you raise your hand to ask a question and ask permission to be excused from the classroom. **Participation** You are expected to participate in class. Participation grades will be based on the warm-up problems, paying attention, asking good questions, and doing practice problems assigned in class. **Homework** It is impossible to really learn math without // doing // it. // Multiple // times. Homework will be assigned every day for this class. While tests will the key way I evaluate your progress, by far the most important ingredient in doing well in this class is // doing your homework //. You set yourself up for success on tests by doing it. You set yourself up for failure by ignoring it or cheating on it. You will be assigned both odd and even problems for homework. The odd answers are in the back of your book. // It is ////__ not __//// cheating to use those answers! // __ Please __ use the odd answers to help you check your understanding of the material and that you are doing it correctly.

Every day when you arrive there will be warm-up problems on the board. I will check your homework spiral for an honest effort at correctness and completeness. You will then be given the answers to the even problems. On test days you will turn in your spiral to be checked for neatness, completeness, and spot-checked for correctness. On each assignment you may earn up to 5 points:
 * 1 point: Proper format (eg, assignment #s and date) and neatness
 * 2 points: Completed on time
 * 2 points: Correct ( __ with necessary work shown __ )

There will be a test about once every two weeks. Also during the year there will be various other assignments, projects, and quizzes. Each will have a different point value: a quiz might be, for example, 15 points. The more points, the more it can affect your grade. Your grade will simply be the total points you have earned divided by the total points possible.
 * Tests, Etc.**

**Make-up and Corrections** If you are absent, it is __ your responsibility __ to schedule a meeting with me the day you return to learn what you missed and when it will be due. Understand that you will have to put in extra effort for a while to catch-up with the class. If you know you will be absent, please let me know in advance. Anyone and everyone may correct their tests. You will receive half credit for correct answers other than bonus questions.


 * Curriculum Outline**

• 1-1 – Evaluating Expressions o Order of Operations o Rules for Addition/Subtraction/Mulitplication/Division of Integers • 1-2 – Describing Patterns o Using a variable to describe a pattern • 1-3 – Equivalent Expressions o Using tables to evaluate equivalent expressions • 1-4 – Picturing Expressions o Basic introduction to scatterplots (x-y coordinate system) • 1-6 – Absolute Value and Distance • 1-7 – Data and Spread (this section is typically done toward the end of the year)
 * Chapter 1: Using Algebra to Describe (~10 days)**

• 2-1 – The Distributive Property and Removing Parentheses • 2-2 – The Distributive Property and Adding Like Terms • 2-4 – Opposites o Review of negatives and multiplying by negative 1 • 2-5 – Testing Equivalence o Use tables, graphs, and algebra to test equivalence • 2-6 - 2-8 – Properties of Multiplication and Addition o Skip fact triangles o Combine last few sections to hit on essential properties, but shorten for time
 * Chapter 2: Using Algebra to Explain (~7 days)**

• 3-1 – Graphing Linear Patterns o Constant increase/decrease, introduction to concept of slope • 3-2 – Solving Equations with Tables and Graphs o Get more comfortable with using the table and graph features of calculator • 3-4 – Solving ax + b = c o Solving simple algebraic equations • 3-5 – Using the Distributive Property in Solving Equations • 3-6 – Inequalities and Multiplication o Graphing inequalities on a number line • 3-7 – Solving ax + b < c o Solving inequalities • 3-8 – Solving Equations by Clearing Fractions
 * Chapter 3: Linear Equations and Inequalities (~15 days)**

• 4-1 – Solving Percent Problems Using Equations o Markup and Discount problems • 4-2 – Horizontal and Vertical Lines • 4-3 – Using Tables and Graphs to Solve • 4-4 – Solving ax + b = cx + d o Solving slightly more complicated equations • 4-5 – Solving ax + b < cx + d • 4-7 – Equivalent Formulas o Rearrange formulas, solve for certain variables • 4-8 – Compound Inequalities, And and Or o Intersection and Union • 4-9 – Solving Absolute Value Equations and Inequalities
 * Chapter 4: More Linear Equations and Inequalities (~13 days)**

• 5-1 – Multiplication of Algebraic Fractions • 5-2 – Division of Algebraic Fractions • 5-3 – Rates • 5-4 – Multiplying and Dividing Rates o Unit Conversions • 5-5 – Ratios o Discount rate and tax rate o Using ratios to setup equations and solve • 5-6 – Probability Distributions o Basic probability rules • 5-7 – Relative Frequency and Percentiles o Very basic introduction to these concepts
 * Chapter 5: Division and Proportions in Algebra (~15 days)**

• 6-1 – Rate of Change • 6-2 – The Slope of a Line o Formula for slope of a line o Finding slope from the equation of a line • 6-3 – Properties of Slope o Graphing a line using the slope o Zero and undefined slope • 6-4 – Slope-Intercept Equations for Lines • 6-5 – Equations for Lines with a Given Point and Slope • 6-6 – Equations for Lines through Two Points • 6-7 – Fitting a Line to Data o Linear Regression concepts • 6-8 – Standard Form of the Equation of a Line o Going between standard form and slope-intercept form • 6-9 – Graphing Linear Inequalities
 * Chapter 6: Slopes and Lines (~14 days) – Usually get through part of this chapter before the end of Semester 1**

• 7-1 – Compound Interest o Powers • 7-2 – Exponential Growth • 7-3 – Exponential Decay • 7-4 – Modeling Exponential Growth and Decay o More with scatterplots • 7-5 – The Language of Functions o Domain and range • 7-6 – Function Notation • 7-7 – Comparing Linear Increase and Exponential Growth o Over time, exponential growth beats linear
 * Chapter 7: Using Algebra to Describe Patterns of Change (~12 days)**

• 8-1 – The Multiplication Counting Principle o Scientific notation and powers • 8-2 – Products and Powers of Powers o Products of powers and powers of powers • 8-3 – Quotients of Powers • 8-4 – Negative Exponents • 8-5 – Powers of Products and Quotients o Powers applied to parentheses • 8-6 – Square Roots and Cube Roots • 8-7 – Multiplying and Dividing Square Roots • 8-8 – Distance in a plane o Distance formula • 8-9 – Remembering Properties of Powers and Roots
 * Chapter 8: Powers and Roots (~14 days)**

• 9-1 – The Function with Equation y = ax2 • 9-2 – Solving ax2 = b • 9-3 – Graphing y = ax2 + x + c • 9-4 – Quadratics and Projectiles o Physics formula, height over time • 9-5 – The Quadratic Formula • 9-6 – Analyzing Solutions to Quadratic Equations o Using the discriminant • 9-7 – More Applications of Quadratics: Why Quadratics are Important o Quadratics photo project using Logger Pro
 * Chapter 9: Quadratic Equations and Functions (~12 days)**

• 10-1 – An Introduction to Systems o Solving systems using tables and graphs o Cost and revenue equations • 10-2 – Solving Systems Using Substitution • 10-3 – More Uses of Substitution • 10-4 – Solving Systems by Addition (Elimination) • 10-5 – Solving Systems by Multiplication (More Elimination) • 10-6 – Systems and Parallel Lines o Parallel and coincident lines • 10-9 – Systems of Inequalities • 10-10 – Nonlinear Systems
 * Chapter 10: Linear Systems (~12 days)**

• 11-1 – Investments and Polynomials • 11-2 – Classifying Polynomials o Degree of a polynomial • 11-3 – Multiplying a Polynomial by a Monomial • 11-4 – Common Monomial Factoring • 11-5 and 11-6 – Multiplying Polynomials and Special Binomial Products o More natural to combine these two
 * Chapter 11: Polynomials (~8 days)**

• 12-1 – Graphing Vertex Form of Quadratics • 12-2 – Completing the Square • 12-3 – The Factored Form of a Quadratic Function o Why is the factored form useful • 12-4 – Factoring x2 + bx + c • 12-5 – Factoring ax2 + bx + c • 12-6 – Which Quadratic Expressions are Factorable? o More work with discriminant • 12-7 – Graphs of Polynomials Functions of Higher Degree • 12-8 – Factoring and Rational Expressions o Using factoring to write rational expressions in lowest terms
 * Chapter 12: More Work with Quadratics (~13 days)**

Homework

Sequence:
6th Mathematics 7th Pre-Algebra 8th Algebra I 8th Advanced Algebra 1 9th Algebra I 9th Algebra 2 (Adv) 10th Geometry (Reg) 10th Trig / Analytic Geometry  (Adv) 11th Algebra 2 (Reg) 11th Pre-Calculus (Adv) 12th Precalculus 12th AP Statistics

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