Course Description. Course Title: PRE-ALGEBRA B

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1 Course Title: PRE-ALGEBRA B Course No Grade level: 9-12 Text and Resources: California ; Prentice Hall Course Content: Key Content Standards and Course Objectives The following objectives are based on the California Common Core State Standards for Mathematics. Please refer to the Math Common Core State Standards online for specific grade level standards. 1. Number and Quantity: Extend the properties of exponents to rational exponents. Use properties of rational and irrational numbers. Reason quantitatively and use units to solve problems. Perform arithmetic operations with complex numbers. Represent complex numbers and their operations on the complex plane. Use complex numbers in polynomial identities and equations. Represent and model with vector quantities. Perform operations on vectors. Perform operations on matrices and use matrices in applications. 2. Algebra: Interpret the structure of expressions. Write expressions in equivalent forms to solve problems. Perform arithmetic operations on polynomials. Understand the relationship between zeros and factors of polynomials. Use polynomial identities to solve problems. Rewrite rational expressions. Create equations that describe numbers or relationships. Understand solving equations as a process of reasoning and explain the reasoning. Solve equations and inequalities in one variable. Solve systems of equations. Represent and solve equations and inequalities graphically. 3. Functions: Understand the concept of a function and use function notation. Interpret functions that arise in applications in terms of the context. Analyze functions using different representations. Build a function that models a relationship between two quantities. Build new functions from existing functions. Construct and compare linear, quadratic, and exponential models and solve problems. Interpret expressions for functions in terms of the situation they model. Extend the domain of trigonometric functions using the unit circle. Model periodic phenomena with trigonometric functions. Prove and apply trigonometric identities. 4. Geometry: Experiment with transformations in the plane. Understand congruence in terms of rigid motions. Prove geometric theorems. Make geometric constructions. Understand similarity in terms of similarity transformations. Prove theorems involving similarity. Define trigonometric ratios and solve problems involving right triangles. Apply trigonometry to general triangles. Understand and apply theorems about circles. Find arc lengths and areas of sectors of circles. Translate between the geometric description and the equation for a conic section. Use coordinates to prove simple geometric theorems algebraically. Explain volume formulas and use them to solve problems. Visualize relationships between two-dimensional and threedimensional objects. Apply geometric concepts in modeling situations. 5. Statistics and Probability: Summarize, represent, and interpret data on a single count or measurement variable. Summarize, represent, and interpret data on two categorical and quantitative variables. Interpret linear models. Understand and evaluate random processes underlying statistical experiments. Make inferences and justify conclusions from sample surveys, experiments and observational studies. Understand independence and conditional probability and use them to interpret data. Use the rules of probability to compute probabilities of compound events in a uniform probability model. Calculate expected values and use them to solve problems. Use probability to evaluate outcomes of decisions. Course Description Course Value: *One Semester Credit Value: 1 5 Credits This course will prepare students to meet the California Common Core State Standards for Mathematics. Students will acquire the skills necessary to manipulate numbers, solve equations and understand the general principles at work. This Pre-Algebra course will help students develop the skills necessary to manipulate numbers, solve equations and understand the general principles at work. Students will compute interest through percentages, graph linear function, compare rational numbers with scientific notation, and convert fractional numbers between fractions, decimals, and percents. Practical application through the incorporation of word problems is required in this course. This course includes many of the mathematical concepts that are found in the California High School Exit Exam. *Open entry/open exit Key Content Standards and Course Objectives (cont). Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Methods of Study 1. Students will complete all activities assigned. 2. Students will participate in discussion with other class members and/or teacher. Evaluation of Performance Standards 1. Students will complete all assignments with a minimum of 70% accuracy. 2. The supervising teacher will be satisfied with the quality of the student s work. 3. The student must receive a minimum score of 70% on a teacher assigned final evaluation.

2 PRE-ALGEBRA B Course Syllabus: 3262 Textbook Assignment: Prentice Hall CA., Part 2 (5.0 credits) All textbook work must meet 70% accuracy level for a C grade. Helpful Hints/Resources: Review What you ve Learned, and try the problems in Check Your Readiness. Review the What You ll Learn Next and New Vocabulary sections. Throughout the chapter, use the online Active Math resource as needed. Review the Skills and Concepts section before completing the Chapter Review/Test. MUST SHOW ALL WORK OR REDO Do all problems listed unless noted to do even only Chapters 6-7: Complete Chapters 6 & 7, pages o Chapter 6 (5 sections), Chapter 7 (5 sections) Check your Readiness (beginning of every chapter) Standards Practice Section A Practice by Example (even only) Section B Apply your Skills (even only) Multiple Choice Practice & Mixed Review Taking Test Strategies & Multiple Choice Review Chapter Reviews Vocabulary Review & Skills and Concepts Chapter Test (even only) Standards Mastery (end of every chapter) and Assessment Chapters 8-9: Complete Chapters 8 & 9, pages o Chapter 8 (6 sections), Chapter 9 (5 sections) Check your Readiness (beginning of each Chapter) Standards Practice Section A Practice by Example (even only) Section B Apply your Skills (even only) Multiple Choice Practice & mixed Review Taking Test Strategies & Multiple Choice Practice Chapter Reviews Vocabulary Review & Skills and Concepts Chapter Test (even only) Standards Mastery (end of every chapter) and Assessment Chapter 10: Complete Chapter 10, pages o Chapter 10 (6 sections) Check your Readiness (beginning of each chapter) Standards Practice Section A Practice by Example (even only) Section B Apply your Skills (even only) Multiple Choice Practice & Mixed Review Taking Test Strategies & Multiple Choice Practice Chapter Test (even only) Standards Mastery (end of every chapter) and Assessment Complete at least three Extension Activities

3 PRE-ALGEBRA B Course Syllabus: 3262 Complete at least 3 of the 5 Extension Activities Extension Activity Options: Complete one Activity Lab from Chapters Complete one Challenge Question (Section C in each Chapter) Use a Flow Map to demonstrate the steps involved in using the Pythagorean Theorem. Go to PearsonSuccess.net and compete vs. the computer in Quiz Game must show 70% or above mastery Chapters Printable page from online resources at PHschools.com or Math Companion Chapters (page to be determined by teacher & student in area of concern or to show mastery) Teacher generated activity Teacher/Student Notes for Extension Activity:

4 Chapters 6 7 Vocabulary Select at least three Vocabulary Words, and draw a Circle Map including a minimum of six categories. You may use the Dictionary Definition, which is listed after each vocabulary word as one of your categories. Study all vocabulary words. Circle Map Categories Dictionary Definition Student Definition Part of Speech Meaningful Sentence Illustration What it is (examples) What it isn t (examples) Word Parts Cognate Synonyms Antonyms Related Words/Word Family Sentence from book classify: contrast: define: calculate: support: ratio: to decide what group something belongs to to compare two things to show how different they are from each other to explain exactly the meaning of a particular word or idea to find an exact answer to prove something a comparison between two amounts in numbers showing how much bigger one amount is over the other

5 Chapters 6 7 Short Answer 1. Represent the ratio 5 : 15 in two other ways. 2. You pay $1.75 for 5 bagels. What is the unit price? Estimate the percent using decimals % of Estimate a 15% tip for a $66.60 restaurant bill. 5. Carrie and nine of her friends go out to dinner. The total bill comes to $ They decide to leave a 15% tip. Each person will contribute an equal amount to the total tip. Estimate what each person should contribute. Write and solve a proportion to find the given percent of the number % of 67 Find the percent of increase. Round to the nearest tenth of a percent where necessary. 7. $5.10 to $ A store marks up a jacket by 121%. The store s cost for the jacket is $ Find the selling price of the jacket. 9. Find the sale price. Round to the nearest cent. regular price: $57.63 percent of discount: 10% 10. Find the regular price. Round to the nearest cent. sale price: $56.78 percent of discount: 40%

6 Chapters 8 9 Vocabulary Select at least three Vocabulary Words, and draw a Circle Map including a minimum of six categories. You may use the Dictionary Definition, which is listed after each vocabulary word as one of your categories. Study all vocabulary words. Circle Map Categories Dictionary Definition Student Definition Part of Speech Meaningful Sentence Illustration What it is (examples) What it isn t (examples) Word Parts Cognate Synonyms Antonyms Related Words/Word Family Sentence from book solution: function: origin: slope: property: inequality: the correct answer to a problem the purpose or job that something has or something does the place in which something begins when a surface is higher at one end than the other a quality or power that something has when something is not equal

Chapters 8 9 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Name the point with the coordinates ( 3, 3). 4. The data in the table are linear.

7 Chapters 8 9 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Name the point with the coordinates ( 3, 3). 4. The data in the table are linear. Use the table to find the slope. x y a. b. 3 c. 2 d Find a solution to the inequality. a. 4 b. 11 c. 2 d a. S b. K c. N d. D 2. Which is a table of values for? a. b. c. d. 6. Find a number that is NOT a solution of the inequality. a. 8 b. 1 c. 17 d. none of these 7. Which inequality has 20 as a solution? a. b. c. d. Write and solve an inequality. 8. The result of 6 subtracted from a number n is at least 2. What numbers are solutions? a. b. c. d. 3. Use the function rule. Find the output. a. 4 b. 3 c. 2 d Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Solve the inequality to find the greatest number of sweaters s she can buy. a. 23 sweaters b. 22 sweaters c. 30 sweaters d. 21 sweaters

8 Chapter 10 Vocabulary Select at least three Vocabulary Words, and draw a Circle Map including a minimum of six categories. You may use the Dictionary Definition, which is listed after each vocabulary word as one of your categories. Study all vocabulary words. Circle Map Categories Dictionary Definition Student Definition Part of Speech Meaningful Sentence Illustration What it is (examples) What it isn t (examples) Word Parts Cognate Synonyms Antonyms Related Words/Word Family Sentence from book term: consecutive: like terms: exponent: power: simplify: a word or expression with a particular meaning to follow one after the other without any interruptions have exactly the same variable factors tells how many times a number is used as a factor a number that can be expressed using a base and an exponent to change a mathematical expression into its simplest form

9 Short Answer Pre-Algebra B 3262 Chapter Find the value of z for. 2. Simplify the expression. 3. Combine like terms:. 4. Lena buys 4 cans of soft drinks and 12 sandwiches for a picnic. Patrick buys 9 cans of soft drinks and 7 sandwiches for the same picnic. Let c be the cost of a soft drink. Let s be the cost of a sandwich. Write an expression that represents the total cost. 5. Solve the equation. 6. Write and solve an equation. 7. Mark weighs 74 pounds. Together, he and his sister weigh six pounds more than three times the weight of his sister. What is the weight, w, of Mark s sister? 8. Katalin earns $6.50 for each hour she works. On Friday, she worked for 3 hours. She also worked on Saturday. If she earned a total of $52.00 for the two days of work, how many hours did she work on Saturday?

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS

AGS THE GREAT REVIEW GAME FOR PRE-ALGEBRA (CD) CORRELATED TO CALIFORNIA CONTENT STANDARDS 1 CALIFORNIA CONTENT STANDARDS: Chapter 1 ALGEBRA AND WHOLE NUMBERS Algebra and Functions 1.4 Students use algebraic