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Algebra I (8th Grade Math) (Block System) Week/ Month 8 Days Content Expressions, Equations, and Functions Skills for Student Achievement Evaluate algebraic expressions and use exponents Use the order of operations to evaluate expressions Translate verbal phrases into expressions Translate verbal phrases into equations and inequalities Use a problem solving plan to solve problems Represent functions as rules and as tables Represent functions as graphs Assessment Paper and Pencil Tests Daily assignments completed, organized and neat, and on time Projects completed, organized and neat, on time, creative, and accurate Performance Standards Addressed Algebra – Recognize linear functions in situations; show linear functions and others with tables, verbal descriptions, symbols, graphs; solve function problems. Explain results. Algebra – Make equal no. and algebraic expressions. Use algebra to evaluate expressions Power Standards 8 Days Properties of Real Numbers Graph and compare positive and negative numbers Add positive and negative numbers Subtract real numbers Multiply real numbers Apply the distributive property Divide real numbers Find square roots and compare real numbers Paper and Pencil Tests Daily assignments completed, organized and neat, and on time Projects completed, organized and neat, on time, creative, and accurate Number and Operation – Read, write, compare, classify and show real numbers. Use to solve problems. Algebra – Make equal number. and algebraic expressions. Use algebra to evaluate expressions DRAFT Use the substitution property and the order of operations to find the value of algebraic and numerical expressions Determine if values are solutions to inequalities Make a table, find a rule, and graph functions in the coordinate plane Solve real world problems Find the value of expressions involving absolute value and opposites. Know and identify the addition and multiplication properties Perform operations with integers Simplify algebraic expressions Identify rational and 1 Algebra I (8th Grade Math) (Block System) 9 Days Solving Linear Equations 7 Days Graphing Linear Equations and Functions 9 Days Writing Linear Equations DRAFT Solve one-step equations using algebra Solve two-step equations Solve multi-step equations Solve equations with variables on both sides Find ratios and write and solve proportions Solve proportions using cross products Solve percent problems Find percent of change Rewrite equations and formulas Identify and plot points in a coordinate plane Graph linear equations in a coordinate plane Graph linear equations using intercepts Find the slope of a line and interpret slope as a rate of change Graph linear equations using slope-intercept form Write and graph direct variation equations Use function notation Write equations of lines Write an equation of a line using points on the line Write linear equations Paper and Pencil Tests Daily assignments completed, organized and neat, and on time Projects completed, organized and neat, on time, creative, and accurate Paper and Pencil Tests Daily assignments completed, organized and neat, and on time Projects completed, organized and neat, on time, creative, and accurate Paper and Pencil Tests Daily assignments completed, organized Algebra – Represent situations using equations and inequalities with linear expressions. Solve equations and inequalities with symbols and graphs. Interpret solutions. Algebra – Understand function, distinguish between linear and nonlinear Algebra – Recognize linear functions in situations; show linear functions and others with tables, verbal descriptions, symbols, graphs; solve function problems. Explain results. Algebra – Understand function, distinguish irrational numbers Solve real world problems Solve 1-step, 2-step, and multi-step equations Solve problems involving percents Solve real world problems using proportions or equations Determine if ordered pairs are solutions of linear equations Calculate Slope Graph linear equations using intercepts, slope-intercept form, and point-slope form Write linear equations in standard form, slope-intercept 2 Algebra I (8th Grade Math) (Block System) using point-slope form and neat, and on time Write equations in standard Projects completed, form organized and neat, on time, creative, and Write equations of parallel accurate and perpendicular lines Make scatter plots and write equations to model data Make predictions using best-fitting lines Find terms of arithmetic and geometric sequences DRAFT between linear and nonlinear Algebra – Recognize linear functions in situations; show linear functions and others with tables, verbal descriptions, symbols, graphs; solve function problems. Explain results. Algebra – Represent situations using equations and inequalities with linear expressions. Solve equations and inequalities with symbols and graphs. Interpret solutions. Geometry and Measurement – Solve problems involving parallel and perpendicular lines on a coordinate system. Data Analysis and Probability – Interpret data using scatterplots and approximated lines of best fit. Use lines of best fit to draw conclusions about data. form, and point slope form. Write equations of parallel and perpendicular lines. Draw scatterplots and find the equation of the best fitting line. Find terms of arithmetic and geometric sequences and series 3 7 Days Solving and Graphing Linear Inequalities Algebra I (8th Grade Math) (Block System) Solve inequalities using Paper and Pencil addition and subtraction Tests Solve inequalities using Daily assignments multiplication and division completed, organized and neat, and on time Solve multi-step inequalities Projects completed, organized and neat, Solve compound on time, creative, and inequalities accurate Solve absolute value equations Solve absolute value inequalities Graph linear inequalities in two variables Algebra Represent situations using equations and inequalities with linear expressions. Solve equations and inequalities with symbols and graphs. Interpret solutions. 8 Days Systems of Equations and Inequalities 7 Days DRAFT Exponents and Exponential Functions Graph and solve systems of linear equations Solve systems of linear equations by substitution Solve linear systems using elimination Solve linear systems by multiplying first Identify the number of solutions of a linear system Solve systems of linear inequalities in two variables Use properties of exponents involving products Paper and Pencil Tests Daily assignments completed, organized and neat, and on time Projects completed, organized and neat, on time, creative, and accurate Paper and Pencil Tests Daily assignments Algebra Represent situations using equations and inequalities with linear expressions. Solve equations and inequalities with symbols and graphs. Interpret solutions. Geometry and Measurement – Solve problems involving parallel and perpendicular lines on a coordinate system Numbers and Operations – Read, write, Solve and graph inequalities in one variable Solve and graph compound inequalities Solve and graph absolute value equations and inequalities Solve and graph linear inequalities in two variables Solve real world problems involving inequalities Solve systems of linear equations using graphs, substitution, or elimination Solve systems of linear inequalities by graphing Solve real world problems involving systems Use properties of exponents to simplify 4 9 Days Polynomials and Factoring Algebra I (8th Grade Math) (Block System) completed, organized Use properties of and neat, and on time exponents involving quotients Projects completed, organized and neat, Use zero and negative on time, creative, and exponents accurate Read and write numbers in scientific notation Write and graph exponential growth models Write and graph exponential decay functions Find terms of arithmetic and geometric sequences Add and subtract polynomials Multiply Polynomials Use special product patterns to multiply polynomials Solve polynomial equations Factor trinomials Factor special products Paper and Pencil Tests Daily assignments completed, organized and neat, and on time Projects completed, organized and neat, on time, creative, and accurate compare, classify and show real numbers. Use to solve problems. 6 Days Quadratic Equations and Factoring DRAFT Solve quadratic equations by graphing Solve quadratic equations by finding square roots Solve quadratic equations Paper and Pencil Tests Daily assignments completed, organized and neat, and on time Algebra Recognize linear functions in situations; show linear functions and others with tables, verbal descriptions, symbols, graphs; solve function problems. Explain results. Algebra - Make equal number. and algebraic expressions. Use algebra to evaluate expressions Algebra Represent situations using equations and inequalities with algebraic expressions Write numbers in scientific notation and standard notation Solve real world problems using exponential growth and exponential decay Find terms of arithmetic and geometric sequences and series Perform operations with polynomials Factor polynomials Solve polynomial equations Solve real world problems Solve quadratic equations by graphing and the quadratic 5 Algebra I (8th Grade Math) (Block System) using the quadratic formula Projects completed, Use the Pythagorean organized and neat, Theorem to find the length on time, creative, and of missing sides accurate 8 Days Probability and Data Analysis DRAFT Find sample spaces and probabilities Use the formula for the number of permutations Use combinations to count possibilities Find the probability of a compound event Find and compare measures of central tendency Make stem-and-leaf plots and histograms Make and interpret boxand-whisker plots linear expressions. Solve equations and inequalities with symbols and graphs. Interpret solutions. Geometry and Measurement – Solve problems involving right triangles using the Pythagorean Theorem and its converse. Geometry and Measurement – Solve problems involving parallel and perpendicular lines on a coordinate system. Data and Analysis and Probability Interpret data using scatterplots and approximated lines of best fit. Use lines of best fit to draw conclusions about data. formula Solve real world problems Find the lengths of missing sides of right triangles using the Pythagorean Theorem Find the mean, median, mode, and range of a set of numbers. Make stem and leaf plots Make box and whisker plots Make histograms Find the probability of simple and compound events Find the permutations and combinations of real world problems 6 Algebra I (8th Grade Math) (Block System) DRAFT 7