Algebra 1 / 8 th Grade Algebra Curriculum

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1 1 st Quarter 9 weeks Write algebraic examples. Evaluate expressions and solve open sentences. Use algebraic properties of identity and equality. Use conditional statements and counterexamples. variable algebraic expressions order of operations equation solution set inequality additive inverse multiplicative inverse reciprocal term equivalent expressions coefficient conditional statements hypothesis conclusion counterexample natural number whole number integers rational number square root perfect square irrational numbers real numbers function independent variable dependent variable domain range Quiz Chapter 1 Test Glencoe Algebra I Teacher s Manual 5.OA.1 6.NS.5 6.NS.6 8.NS.1 A-SSE.1 F-IF.1 F-IF.4 Translate verbal sentences into equations and equations into verbal sentences. equivalent equations solve an equation multi-step equations ratio Test Test 8.7a 8.7b A-CED.4

2 1 st Quarter 9 weeks proportion A-REI.1 Solve equations and proportions. extremes means percent of change A-REI.3 Find percents of change. percent of increase percent of decrease Solve equations for given variables. weighted average mixture problem uniform motion problem Solve mixture problems and uniform motion problems. Understand the skills required to manipulate symbols to solve problems and simplify expressions. Understand the meaning of the slopes and intercepts of the graphs of linear functions. arithmetic sequence function inverse x-intercept y-intercept mapping vertical line test function notation function value linear equation standard form terms common difference Quiz Quarter Exam A-CED.2 A-REI.10 F-IF.1 F-IF.2 F-IF.3 F-IF.4 F-IF.5 F-IF.7A F-BF.2 F-LE.2

3 2nd Quarter 9 weeks Find the slope of a line. Write linear equations in slope-intercept and pointslope forms. Write equations for parallel and perpendicular lines. Draw scatter plots and write an equation for a line of fit. point-slope form rate of change slope slope-intercept form direct variation constant of variation scatter plot line of fit parallel lines perpendicular lines Quiz Ch. 4 Test A-CED.2 A-REI.10 F-IF.4 F-IF.6 F-IF.7A F-LE.1A F-LE.2 Linear Solve systems of linear equations algebraically and by graphing. Apply systems of linear equations. Linear system of equations consistent independent dependent inconsistent substitution Linear Quiz Ch. 5 Test Linear Linear A-REI.5 A-REI.6 Solve linear inequalities and graph them in the coordinate plane. Solve absolute value equations and inequalities. Solve systems of linear inequalities by graphing. set-builder notation compound inequality intersection union absolute value function piecewise function half plane boundary system of inequalities Quiz Semester Exam Quiz Note: This unit is split between quarters. A-ERI.1 A-ERI.12

4 3rd Quarter 9 weeks Find products and quotients of monomials Quiz Ch. 7 Test A-APR.1 Find the degree of a polynomial and arrange the terms in order. Add, subtract, and multiply polynomial expressions. Find special products of binomials. monomial constant zero exponent negative exponent binomial trinomial monomial degree of a monomial/polynomial FOIL method difference of two squares Find the prime factorization of integers and monomials. Factor polynomials. Use the Zero Product Property to solve equations. prime number composite number prime factorization factored form factoring by grouping Zero Products Property roots prime polynomial perfect square trinomial Quiz Ch.8 Test Quarter Test A-SSE.3 A-REI.1

5 4th Quarter 9 weeks Simplify and perform operations with radical expressions Quiz Ch. 10 Test -Q.1 N-Q.3 A-SSE.1 Solve radical equations. Use the Pythagorean Theorem and Distance Formula. Use similar triangles and trigonometric ratios. radical expression radicand rationalizing the denominator conjugate radical equation extraneous solution Hypotenuse Pythagorean triple converse Distance Formula and Simplify, add, subtract, multiply, and divide rational expressions. Divide polynomials. Solve rational equations. and excluded values mixed expression complex fraction work problems rate problems extraneous solutions and Quiz Ch. 11 Test and and A-SSE.1 N-RN.3 Graph quadratic functions. Solve quadratic equations. Graph exponentials functions. Solve problems involving quadratic function parabola minimum maximum vertex symmetry axis of symmetry quadratic equation TBD based on time constraints A-SSE.3 A-REI.4 F-IF.7 F-IF.8

6 4th Quarter 9 weeks grown and decay. zeros double root completing the square Quadratic Formula discriminant exponential function exponential growth compound interest exponential decay Identify various sampling techniques. Count outcomes using the Fundamental Counting Principle. Determine probabilities. sample, population random sample biased sample convenience sample voluntary response sample tree diagram, sample space event Fundamental Counting Principle factorial, permutation combination, simple event compound event independent/dependent events complements mutually exclusive inclusive random variable discrete random variable probability distribution theoretical probability experimental probability relative frequency empirical study simulation TBD based on time constraints S-IC.1 S-CP.9

Subtraction Property of Equality terms. x-axis x-coordinate x-intercept y-axis y-coordinate y-intercept

Subtraction Property of Equality terms. x-axis x-coordinate x-intercept y-axis y-coordinate y-intercept Algebra I Chapter 1 Chapter 2 additive identity range absolute value algebraic expression reciprocal additive inverses Associative Property Reflexive Property of Equality back-to-back stem and leaf bar