Whitman-Hanson Regional High School provides all students with a high- quality education in order to develop reflective, concerned citizens and contributing members of the global community. Course Number 434 Title Algebra III Grade 11-12 # of s 60 Course Description Algebra III will provide a review and extension of the topics found in Algebra II. Using algebra investigations and projects, students will gain understanding in topics necessary to show proficiency in high school mathematics. Some of these include: periodic functions, recursion, analytic geometry, and beginning trigonometry. This course addresses Whitman-Hanson Student Learning Expectations 1-6. Instructional Strategies Instructional Strategies include but may not be limited to the following: 1. Whole class instruction 2. Individual work: homework, classwork, assessments 3. Group Work: activities, problem solving 4. Use of Technology (graphing calculators, interactive websites) 5. Projects Student Learning Expectations 1. Read, write and communicate effectively. 2. Utilize technologies appropriately and effectively. 3. Apply critical thinking skills. 4. Explore and express ideas creatively. 5. Participate in learning both individually and collaboratively. 6. Demonstrate personal, social, and civic responsibility. 1
Algebra III Curriculum Documents Textbook: Cord Applied Mathematics Units 18, 23-27 Buckle Down on Massachusetts Mathematics MCAS 10 Unit 18: Solving Problems That Involve Non-Linear Equations Unit 23: Factoring Unit 24: Patterns and Functions Unit 25: Quadratics Unit 26: Systems of Equations Unit 27: Inequalities 1 Course Expectations Distribute Books View Video and complete Video Worksheet 2 UNIT 18 Introduction pgs 3-15 1 y = x 2, y = ± x, y = x by making tables and graphs 3 Introduction pgs 15-26 Solving non-linear equations without and with applications 4 Review Skills Vocabulary: Make the Glossary Foldable 5 Activities 1 and 2 (Half the class does #1, half does #2) 6 Share Activity Results and Review for Test 7 Test Buckle Down pg 36, 37 8 Review Buckle Down Video Unit 23 Factoring Complete Video Worksheet 9 Introduction Pages 3-10 Cut out Algebra Tiles 2
Whole number factoring with rectangles Create Polynomials Simplify Polynomials 10 Introduction pages 10-19 Multiplying and Factoring with Algebra Tiles 11 Introduction Pages 19-27 Factoring Special Cases 12 Introduction pages 28-32 13 Review 14 Test Unit 23 Buckle Down Pages 142, 143 15 Unit 24 Patterns and Functions Review Buckle Down Watch Video and complete video worksheet Review Glossary Vocabulary 16 Introduction pages 3-14 Patterns Relations: ordered pairs, graphs, tables, equations 17 Activity #1 page 31 18 Introduction pages 15-28 Using Functional Notation Graphing Linear and Quadratic Functions Domain and Range Relations vs. Functions 19 Continue above 20 Activity #2 and/or #3 21 Review 22 Unit 24 Test MCAS Multiple Choice Questions from Patterns, Relations and Algebra 23 Review MCAS Questions Unit 25 Quadratics Watch Video and complete video worksheet Study Activity pages 7+8 drawing ellipses and parabolas (draw circles if necessary) 24 Discuss Homework Follow Up Questions: Student Exercises page 38 #1, 2, 3, 4 Introduction pages 9-15 25 Introduction pages #15-19 Finding Roots of Quadratic Functions using Graphs and Tables Finding the maximum or minimum pts (vertex) 26 Solving by Factoring Introduction pages 19-22 27 Solving by the Quadratic Formula Introduction pages 22-27 Real and Complex Roots Using the Discriminant 3
28 Review for Mid Unit 25 Test 29 Mid Unit 25 Test 30 Activity #1 Rework page 26 to a texting problem On graphing calculator: scatter plot, a table, graph curve, find equation and extend 31 Student Activity pg 21 32 Student Activity Constructing a Rain Gutter pg 34 33 Review 34 Test on Unit 25 part 2 applications 35 Unit 26 Systems of Equations Practice Graphing Lines from equations Buckle Down pages 40-46 36 Watch Video and Complete Worksheet Introduction pages 3-13 Solving Linear Systems by Graphing 37 Introduction pages 14-15 Solving Linear Systems by Substitution 38 Introduction pages 16-21 Solving Linear Systems by Elimination 39 Lab Activity #1 Battleships and Mines pg. 28-30 40 Review 41 Mid Unit Test Review Graphing Exponential and Quadratic functions 42 Solving Systems of Linear and Non-Linear Equations by substitution and graphing 43 More Practice Examples 44 Introduction pages 23-26 Solving linear systems by determinants or matrices 45 More Practice 46 Review 47 End of Unit Test Buckle Down Pages 38-39 48 Unit 27 Inequalities Review Buckle Down Watch Video and Complete Worksheet Introduction pages 3-14 49 Introduction pages 15-21 Intersection and union of two sets using Venn Diagrams 50 Introduction pages 23-25 Solving Inequalities with Absolute Value 51 Review 52 Mid Unit Test 53 Introduction pages 25-30 Graphing Inequalities with two variables 54 Introduction pages 31-32 4
Linear Programming 55 Continue Linear Programming 56 Review for End of Unit Test 57 End of Unit Test 58 Review 59 Review 60 Exam 5