Dominican International School ALGEBRA I COURSE SYLLABUS GRADE LEVEL: 8 SCHOOL YEAR: 2018-2019 TEACHER: Christiaan Basson EMAIL: cbasson@dishs.tp.edu.tw COURSE DESCRIPTION Algebra I is the course that students are required to make the transition from arithmetic to the new world of symbols. Symbolic reasoning and calculations with symbols are central in this course. The Common Core State Standards are adopted for students and teachers to achieve higher expectations. Through the study of Algebra I, students develop an understanding of the symbolic language of mathematics. In addition, algebraic skills and concepts are developed and used in a wide variety of problem-solving situations. It gives students a solid foundation for exploring and understanding Geometry and Algebra concepts that will prepare students to move from middle school to high school mathematics. TEACHING STRATEGIES Students need some concrete approaches to enhance their understanding of the concept. Therefore, different modes of instruction would be provided for this purpose. Visual learning, interactive learning, and differentiated instruction will be provided in the class. For example, using manipulates such as color tiles, chips, or balance scale will be helpful. These tools can make abstract concept visible. Digital technologies are also provided in their classroom activities. Besides, making connections with their earlier math study or life experience is another approach to make their math learning meaningful. Another goal of the course is to teach students how to communicate in mathematics. Students need to listen, speak, read and write math just like another language. They will be asked to utilize this math language to express the real-life problem, to construct a model to solve the
problem, and to find the solution of the problem. Throughout the learning process, hope they can enjoy this efficient and very powerful language. ASSESSMENT Students will be assessed with classroom participation, homework, quizzes, tests and quarter exams. Homework will be given every one or two lessons. Quizzes or tests will be given weekly basis to help identify any weakness students may have, and which topics need additional enhancement. Quarter Exams will be given at the end of each quarter. The quarter grade will based on 30% of homework, project, and participation, 30% of quizzes and tests, 30% of quarter exam, and 10% of deportment. HOMEWORK RULES Always present the assignment neatly and clearly. Show all the solutions step by step when answering questions. Late homework will be graded by taking proportional deductions. The homework grade will be taken 10% off if students hand in one day late. Late homework from one to two days will be deducted by 20%, from two to three days will be deducted by 30%, and so on. Students who are absent with good reasons will be allowed to make up the missing work without any deductions. CLASSROOM RULES Follow school rules. Follow instructions. Use common sense. PRIMARY TEXTBOOK ALGEBRA 1 Common Core (Pearson, 2015) Online Companion: https://www.pearsonsuccessnet.com
1st QUARTER - COURSE CONTENT & OBJECTIVES FOUNDATIONS FOR ALGEBRA To write algebraic expressions To simplify expressions involving exponents To use the order of operations to evaluate expressions To classify, graph, and compare real numbers To find and estimate square roots To identify and use properties of real numbers To find sums and differences of real numbers To find products and quotients of real numbers To use the Distributive Property to simplify expressions To solve equations using tables and mental math To use tables, equations, and graphs to describe relationships SOLVING EQUATIONS To solve one-step equations in one variable To solve two-step equations in one variable To solve multi-step equations in one variable To solve equations with variables on both sides To identify equations that are identities or have no solution To rewrite and use literal equations and formulas To find ratios and rates To convert units and rates To solve and apply proportions To find missing lengths in similar figures To use similar figures when measuring indirectly To solve percent problems using proportions or the percent equation To find percent change To find the relative error in linear and nonlinear measurements SOLVING INEUQALITIES To write, graph, and identify solutions of inequalities To use addition or subtraction to solve inequalities To use multiplication or division to solve inequalities To solve multi-step inequalities To write sets and identify subsets To find the complement of a set
2nd QUARTER - COURSE CONTENT & OBJECTIVES Solving inequalities (Continued) To solve and graph inequalities containing the word and or or To solve equations and inequalities involving absolute value To find the unions and intersections of sets An introduction to functions To represent mathematical relationships using graphs To identify and represent patterns that describe linear functions To identify and represent patterns that describe nonlinear functions To graph equations that represent functions To write equations that represent functions To determine whether a relation is a function To find domain and range and use function notation To identify and extend patterns in sequences To represent arithmetic sequences using function notation Linear functions To find rates of change from tables To find slope To write and graph an equation of a direct variation To write linear equations using slope-intercept form To graph linear equations in slope-intercept form To write and graph linear equations using point-slope form To graph linear equations using intercepts To write linear equations in standard form
To determine whether lines are parallel, perpendicular, or neither To write equations of parallel lines and perpendicular lines To make a scatter plot and describe its correlation Systems of equations and inequalities To solve systems of equations by graphing To analyze special systems To solve systems of equations using substitution To solve systems by adding or subtracting to eliminate a variable To choose the best method for solving a system of linear equations To graph linear inequalities in two variables To use linear inequalities when modeling real-world situations To solve systems of linear inequalities by graphing To model real-world situations using systems of linear inequalities 3rd QUARTER - COURSE CONTENT & OBJECTIVES Exponents and exponential functions To simplify expressions involving zero and negative exponents To multiply powers with the same base To raise a power to a power To raise a product to a power To divide powers with the same base To raise a quotient to a power To rewrite expressions involving radicals and rational exponents To write and use recursive formulas for geometric sequences Polynomials and factoring
To classify, add, and subtract polynomials To multiply a monomial by a polynomial To factor a monomial from a polynomial To multiply two binomials or a binomial by a trinomial To find the square of a binomial and to find the product of a sum and difference To factor trinomials of the form x 2 + bx + c To factor trinomials of the form ax 2 + bx + c To factor perfect-square trinomials and the differences of two squares To factor higher-degree polynomials by grouping Quadratic functions and equations To graph quadratic functions of the form y = ax2 and y = ax2 + c To graph quadratic functions of the form y = ax2 + bx + c To solve quadratic equations by graphing and using square roots To solve quadratic equations by factoring To solve quadratic equations by completing the square To solve quadratic equations using the quadratic formula To find the number of solutions of a quadratic equation To choose a linear, quadratic, or exponential model for data To solve systems of linear and quadratic equations 4th QUARTER - COURSE CONTENT & OBJECTIVES Radical expressions and equations To solve problems using the Pythagorean Theorem To identify right triangles
To simplify radicals involving products and quotients To simplify sums and differences of radical expressions To simplify products and quotients of radical expressions To solve equations containing radicals To identify extraneous solutions rational expressions and functions To simplify rational expressions To multiply and divide rational expressions To simplify complex fractions To divide polynomials To add and subtract rational expressions To solve rational equations and proportions To write and graph equations for inverse variations To compare direct and inverse variations Week Notes Lesson Quarter 1 Week 1 Aug 13-17 15 ~ Assumption of Our Lady & St. Dominic s Day Celebration 15 ~ Induction of Class, Student Council Officers and DYM Introduction of Algebra FOUNDATIONS FOR ALGEBRA Week 2 Aug 20-24 Variables and Expressions JCP p.52-53 Order of Operations and Evaluating Expressions JCP p.8-10 Real Numbers and the Number
Line JCP p. 2-5 Week 3 Aug 27-31 Week 4 Sep 3-7 Properties of Real Numbers.1-1.4)JCP p. 7-11 hapter 1) Adding and Subtracting Real Numbers JCP p. 13-15 Multiplying and Dividing Real Numbers JCP p.16-21 The Distributive Property JCP p. 54-55, 57-60, 62-67 An Introduction to Equations Patterns, Equations, and Graphs SOLVING EQUATIONS JCP P.69-74 Solving One-Step Equations Week 5 Sep 10-14 Solving Two-Step Equations Solving Multi-Step Equations Solving Equations With Variables on Both Sides Literal Equations and Formulas.1-2.5) JCP p. 76-80 Week 6 Sep 17-21 Sep 18-20 ~ Pre-Exam Days ~ Assessment Needs Survey for Students Ratios, Rates, and Conversions JCP p. 217-220 Solving Proportions Proportions and Similar Figures Percents Change Expressed as a Percent Test (Chapter 2) Solving Inequalities JCP p.566-570, Inequalities and Their Graphs Solving Inequalities Using Addition or Subtraction Solving Inequalities Using Multiplication or Division
Solving Multi-Step Inequalities JCP p. 577-579 Week 7 Sep 24-28 Sep 24 ~ Moon Festival (no classes) Sep 27-28 ~ Confucius Day / Teacher s Retreat (no classes) Review Quiz (3.1-3.4) Week 8 Oct 1-5 Oct 5 First Quarter Exam (half day) Week 9 Oct 8-12 Oct 8 ~ First Quarter Exam (half day) Oct 9 ~ Record Day (No Class) Oct 10 ~ Double Ten Public Holiday (no classes) Quarter 2 Week 10 Oct 15-19 Review of 1st Quarter Week 11 Oct 22-16 Week 12 Oct 29 - Nov 2 Working with Sets JCP p.580-585 Solving Inequalities (Continued) Compound Inequalities Absolute Value Equations and Inequalities Unions and Intersections of Sets Test (Chapter 3) an introduction to functions JCP p.133-138 Using Graphs to Relate Two Quantities Patterns and Linear Functions Patterns and Nonlinear Functions
Week 13 Nov 5-9 Week 14 Nov 12-16 Week 15 Nov 19-23 Week 16 Nov 26-30 Nov 20-22 ~ Pre-Exam Days Nov 23 ~ Gr. 12 Second Quarter Exam Nov 26 ~ Gr. 12 Second Quarter Exam Nov 29 ~ Thanksgiving Mass Nov 30 ~ Young Shakespeare Play Writing and Performing Contest Quiz (4.1-4.3) linear functions Graphing a Function Rule Writing a Function Rule JCP p.157 Formalizing Relations and Functions Arithmetic Sequences JCP p. 652-657 Test (Chapter 4) Rate of Change and Slope Direct Variation Slope-Intercept Form JCP p. 515 Point-Slope Form JCP p.176-179 Quiz (5.1-5.4) Standard Form Parallel and Perpendicular Lines JCP p.515 Scatter Plots Test (Chapter 5) Week 17 Dec 3-7 Dec 7 ~ Foundation Day Celebrations systems of equations and inequalities JCP p. 561-565 Solving Systems by Graphing JCP p. 180 Solving Systems Using Substitution JCP p.181 Solving Systems Using Elimination JCP p. 182-185 Applications of Linear Systems JCP p. 186
Quiz (6.1-6.4) Linear Inequalities Systems of Linear Inequalities JCP p. 566-571 Test (Chapter 6) Week 18 Dec 10-14 Dec 17 ~ Second Quarter Exam (half day) Review 2nd Quarter Examination Final Exam Week 19 Dec 17-21 Dec 18 ~ Second Quarter Exam (half day) Dec 19-20 ~ Christmas Mass & Class Presentations Dec 21 ~ Christmas Holiday Begins (half day) Christmas Holidays Dec 24 to Jan 4 Quarter 3 Week 20 Jan 7-11 Week 21 Jan 14-18 Week 22 Jan 21-25 exponents and exponential functions JCP p. 23-28 Zero and Negative Exponents Multiplying Powers With the Same Base More Multiplication Properties of Exponents Division Properties of Exponents Quiz (7.1-7.4) Rational Exponents and Radicals JCP p. 42-46 Geometric Sequences JCP p.661-664 Test (Chapter 7)
Polynomials and Factoring Week 23 Jan 28 - Feb 1 Adding and Subtracting Polynomials JCP p. 52-56 Multiplying and Factoring JCP p. 57-61 Multiplying Binomials JCP p. 57-59 Chinese New Year Feb 4-8 Week 24 Feb 11-15 Week 25 Feb 18-22 Multiplying Special Cases JCP p.59-61 Quiz (8.1-8.4) Factoring x + bx + c 2 JCP p. 249-255 Factoring ax + bx + c 2 Factoring Special Cases JCP p.239-244 Factoring by Grouping JCP p.245-248 Test (Chapter 8) Week 26 Feb 25-29 Week 27 Mar 4-8 Feb 28 ~ Memorial Day Holiday (no classes) Mar 5 7 ~ Pre-Exam Days Quadratic Functions and equations Quadratic Graphs and Their Properties JCP p. 152-158 Quadratic Functions JCP p.281-288 Solving Quadratic Equations Factoring to Solve Quadratic Equations Quiz (9.1-9.4) Completing the Square JCP p.289-293 The Quadratic Formula and the Discriminant JCP p.293-298 Linear, Quadratic, and Exponential Models
Systems of Linear and Quadratic Equations JCP p. 562 Test (Chapter 9) Review Week 28 Mar 11 to 15 Week 29 Mar 18-22 Minor Final exams Major Final Exams IOWA Quarter 4 Final Exam Week 30 Mar 25-29 Week 31 Apr 1-5 radical expressions and equations The Pythagorean Theorem JCP p. 100-103 Simplifying Radicals JCP p. 42-46 Operations With Radical Expressions Quiz (10.1-10.3) Solving Radical Equations Test (Chapter 10) rational expressions and functions Simplifying Rational Expressions JCP p. 256-259 Week 32 Apr 8-12 AP Mock Exams Multiplying and Dividing Rational ExpressionsJCP p.260-264 Dividing Polynomials JCP p.64-68 Adding and Subtracting Rational Expressions JCP p.260-264 Quiz (11.1-11.4)
Easter Break Apr 15-19 Week 33 Apr 22-26 Solving Rational Equations JCP p. 276-280 Inverse Variation JCP p. 226-230 Test (Chapter 11) Week 34 Apr 29 - Mar 3 Week 35 May 6-10 Week 36 May 13-17 May 1-2 ~ Pre-Exam Days May 1-17 AP Exams May 1-17 AP Exams May 17 & 20 ~ Fourth Quarter Exam Undergraduate (half day) Review 4th Quarter Examination Final Exam Week 37 May 20-24 May 20 ~ Fourth Quarter Exam Undergraduate (half day) Week 38 May 27-31 27~Sports Day 28 ~ Pre-Kindergarten & Gr. 1-4 Recognition/Kindergarten Graduation/Gr. 5 Promotion 29 ~ Gr. 6 7 Recognition and Gr. 8 Graduation 30 ~ Last Day of School ( half day) 31 ~ Teachers/Staff Meeting