Wayne County Public Schools Mathematics Curriculum WCPS Math Standard Course of Study Pacing Guide for Block Scheduling Foundations of Algebra

Transcription

1 Mathematics Curriculum WCPS Math Standard Course of Study Pacing Guide for Block Scheduling Foundations of Algebra Foundations of Algebra develops the study of algebraic concepts. It includes a survey of preparatory topics for high school mathematics, specifically the foundations for algebra. Appropriate technology, from manipulatives to graphing calculators and applications software, should be used regularly for instruction and assessment. 1 st 4½ weeks 2 nd 4½ weeks 3 rd 4½ weeks 4 th 4½ weeks 1.01 Develop number sense for the real numbers Analyze patterns in data by using scatter plots and tables Apply the algebraic order of operations Represent linear patterns with equations and graphs Simplify expressions involving exponents, opposites, and absolute value Visually determine the line of best fit for a given scatter plot; explain the meaning of the line; and make predictions using the line Solve problems involving percents Simplify expressions involving exponents, opposites, and absolute value Solve multi-step equations and use the distributive property to solve equations Use prime factorization to find a GCF Identify relations and functions as linear or nonlinear Write an equation (standard and slope-intercept form) of a linear relationship given: two points, the slope and one point on the line, or the slope and y-intercept Operate with radicals and radical equations Use prime factorization to find a GCF Find the theoretical and experimental probability of a favorable outcome. a) Find the probability of independent events. b) Design and perform simulations to find experimental probabilities Find the union and intersection of sets Describe how changes to the rule of a function correspond to the translations, reflections, expansions and compressions of its graph Define the sine and cosine ratios 4.04 Identify and use the tangent ratio Alg 1 book: Ch , Ch 2, Ch 3, Alg. Ess.: , , , 9.8 Alg 1 book: , , 8.5, , 9.5 Alg. Ess.: , , 6.1, Alg 1 book: Alg. Ess.: , 8.1 b & c, Alg 1 book: Ch , Ch 13, Ch 14 Alg. Ess.: not used

2 1 st Nine Weeks 1.01 Develop number sense for the real numbers Analyze patterns in data by using scatter plots and tables Apply the algebraic order of operations Represent linear patterns with equations and graphs Visually determine line of best fit Chapter 1 (Algebra 1 book) days 1.05 Simplify expressions involving exponents, opposites, and absolute values. Chapter 2 (Algebra 1 book) Chapter 2 (Algebra 1 book) Chapter 3 (Algebra 1 book) Chapter 1 (Algebra Essentials) Chapter 2 (Algebra Essentials) , days 8 days Chapter 3 (Algebra Essentials) Chapter 9 (Algebra Essentials) day 3.04 Solve problems involving percents. Chapter 4 (Algebra 1 book) days Total days: 19 days

3 1 st Nine Weeks - Continued 2.01 Identify relations and functions as linear or nonlinear Write an equation of a linear relationship. Chapter 3 (Algebra Essentials) Chapter 5 (Algebra 1 book) , , days 1.05 Simplify expressions involving, exponents, opposites, and absolute values Use prime factorization to find a GCF. Chapter 8 (Algebra 1 book) Chapter 9 (Algebra 1 book) Chapter 7 (Algebra Essentials) , days 6 days MIDSEMESTER TEST Cumulative Test on all material listed above 1 day Total days: 45 days End of First 9 weeks.

4 2 nd Nine Weeks 1.08 Use prime factorization to find a GCF. Chapter 7 (Algebra Essentials) days 1.07 Operate with radicals and radical expressions. Chapter 12 (Algebra 1 book) Chapter 8 (Algebra Essentials) Chapter 10 (Algebra Essentials) b & c days 3.01 a, b Find the theoretical and experimental probability of a favorable outcome. Find the probability of independent events. Design and perform simulations to find experimental probability. Chapter 13 (Algebra 1 book) All sections 10 days 3.02 Find the union and intersection of sets Describe translations, reflections, expansions and compressions Define the sine and cosine ratios in a right triangle Identify and use the tangent ratio in a right triangle. Chapter 12 (Algebra 1 book) Chapter 14 (Algebra 1 book) All sections 15 days REVIEW and FINAL EXAM Cumulative Exam 3 days Total days: 45 days End of Semester

5 Foundations of Algebra Number & Operations The learner will operate with real numbers to solve Algebra The learner will find, identify, and interpret the slope and intercepts of a linear relation. Data Analysis & Probability The learner will collect, organize, analyze and display data to solve Measurement & Geometry The learner will apply basic geometric principles when problem solving Develop number sense for the real numbers Analyze patterns in data by using scatter plots and tables Apply the algebraic order of operations Represent linear patterns with equations and graphs Simplify expressions involving exponents, opposites, and absolute value Solve multi-step equations and use the distributive property to solve equations Operate with radicals and radical equations Use prime factorization to find a GCF Identify relations and functions as linear or nonlinear Write an equation (standard and slope-intercept form) of a linear relationship given: two points, the slope and one point on the line, or the slope and y- intercept Visually determine the line of best fit for a given scatter plot; explain the meaning of the line; and make predictions using the line Find the theoretical and experimental probability of a favorable outcome. a) Find the probability of independent events. b) Design and perform simulations to find experimental probabilities Find the union and intersection of sets Solve problems involving percents Describe how changes to the rule of a function correspond to the translations, reflections, expansions and compressions of its graph Define the sine and cosine ratios 4.04 Identify and use the tangent ratio