Sub-Standards: Indicators: Learning Objectives: Vocabulary: Resources:

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1 LEARNING GUIDE: Algebra 1 Main Resources: Algebra 1 Glencoe/McGraw Hill Copyright: 2008 Stards: MA 12.1: Number Sense: Students will communicate number sense concepts using multiple representations to reason, solve problems, make connections within mathematics across disciplines. MA 12.2: Geometric/Measurement: Students will communicate geometric concepts measurement concepts using multiple representations to reason, solve problems, make connections within mathematics across disciplines. MA 12.3: Algebraic: Students will communicate algebraic concepts using multiple representations to reason, solve problems, make connections within mathematics across disciplines. MA 12.4: Data Analysis/Probability: Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, make connections within mathematics across disciplines Unit: (days) Number Theory (20 days) Solving Basic Equations (20 Days) Sub-Stards: Indicators: Learning Objectives: Vocabulary: Resources: MA Students will represent show relationships among MA Students will demonstrate the meaning effects of arithmetic operations with real numbers. MA Students will compute fluently accurately using appropriate strategies tools. MA a Demonstrate multiple equivalent forms of irrational numbers. MA b Compare, contrast apply the properties of numbers the real number system, including the rational, irrational, imaginary, MA a Use drawings, words, symbols to explain the effects of such operations as multiplication division, computing positive powers roots on the magnitude of quantities. MA a Compute accurately with real numbers. MA d Select, apply, explain the method of computation when problem solving using real numbers. MA a Model contextualized problems using various representations. MA b Represent a variety of quantitative relationships using linear equations one variable inequalities. MA a Explain/apply the reflexive, symmetric, transitive properties of equality. MA g Solve linear equations inequalities including absolute value. MA h Identify explain the properties used in solving MA o Solve an equation involving several variables for one variable in terms of the others. 1. Review operations with rational numbers, including order of operations. 2. Write verbal algebraic expressions describing operations. 3. Identify apply properties of equality. 4. Simplify expressions using properties of equality. 5. Identify the subsets of the real number system that a number belongs to compare numbers. 1. Learn to solve linear equations using addition/subtraction. 2. Learn to solve linear equations using multiplication/division. 3. Solve multi-step equations using a combination of operations simplification techniques. 4. Solve equations with variables on both sides. 5. Write solve equations to represent simple everyday situations. 1.Additive/multiplicative inverse. 2. Algebraic expression. 3. Coefficient. 4. Exponent. 5. Integers. 6. Irrational. 7. Like terms. 8. Natural. 9. Rational. 10. Real Number. 11. Variable. 1. Addition property of equality. 2. Subtraction property of equality. 3. Multiplication property of equality. 4. Division property of equality. 5. Ratio. 6. Proportion. 7. Percent. 8. Percentage change. 9. Weighted problem. Chapter 1 Resource Promethian Flipcharts for each objective. Chapter 2 Resource Promethian Flipcharts for each objective. Lab; Bicycle Racing. Assessments: Formative, Summative, Rubric Lab Questions/Packet.

2 Solving Basic 6. Solve using ratios proportions. 7. Solve equations involving percents. 8. Solve problems involving percentage change. 9. Solve problems involving weighted quantities. (Application based.) Relations Functions. MA a Represent, interpret, analyze functions with graphs, tables, algebraic notation convert among these representations (e.g., linear, nonlinear) MA b Identify domain range of functions represented in either symbolic or graphical form (e.g., linear, non-linear) MA c Identify the slope intercepts of a linear relationship from an equation or graph MA d Identify characteristics of linear nonlinear functions MA f Compare analyze the rate of change by using ordered pairs, tables, graphs, equations MA h Represent, interpret, analyze functions their inverses MA i Determine if a relation is a function. 1. Represent relations as a: Set, table, mapping, graph switch between formats. 2. Identify whether a function is a relation. 3.Identify domain range for a given relation/function. 4. Find the inverse of a discete relation/function. 5. Identify linear relations/functions. 6. Place a given linear relation in stard form. 7. Identify the intercepts the zero of a linear equation. 8. Graph an equation using the intercepts or a table of values. 9. Identify continue an arithmetic sequence. 10. Find an n th term equation for a given sequence. 11. Find a required term for an arithmetic sequence. 12. Identify proportional relations the rate of change. 1. Relation. 2. Function. 3. Domain. 4. Range. 5. Table. 6.Mapping. 7. Graph. 8. Vertical Line Test. 9. Linear. 10. Intercept. 11. Zero of a Function. 12. Stard Form. 13. Arithmetic Sequence. 14. Nth term. 15. Rate of change. Chapter 3 Resource Linear (20 Days.) MA a MA c MA d MA e Graph linear nonlinear functions 1. Learn how to find the slope of a line. 2. Learn how to use the slope of a line to graph a line. 3. Identify graph direct variation equations. 1. Slope. 2. X-intercept. 3. Y-intercept. 4. Linear Equation. 5. Slope/Intercept. 6. Stard Form. 7. Point/Slope Form. 8. Scatter Plot. 9. Best-fit line. Chapter 4 Resource

3 Linear Linear Systems. Solving Inequalities Absolute Value MA f MA a MA b MA a MA p Analyze solve systems of two linear equations in two variables algebraically graphically MA e MA g Graph interpret linear inequalities MA a MA b MA d Model contextualized problems using various representations for non-linear functions (e.g., quadratic, exponential, square root, absolute value) 4. Identify graph equations in slope/intercept form. 5. Identify graph equations in stard form. 6. Identify graph equations in point/slope form. 7. Write linear equations in multiple forms. 8. Interchange equations between multiple forms. 9. Create a scatter plot a regression line. 10. Write a regression equation. 11. Write equations for lines parallel perpendicular to a given line. 1. Solve linear systems by graphing. 2. Solve linear systems by substitution. 3. Solve linear systems by elimination. 4. Use systems to represent solve application based problems. 1. Solve linear inequalities using addition, subtraction, multiplication, division. 2. Solve multi-step inequalities. 3. Solve compound inequalies. 4. Solve absolute value equations. 5. Solve absolute value inequalities. 10. Prediction equation. 11. Parallel Lines. 12. Perpendicular Lines. 1. System. 2. Consistent. 3. Inconsistent. 4. Dependent. 5. Independent. 6. Substitution method. 7. Elimination method. 1. Inequality. 2. At most 3. At least 4. No more than. 5. No less than. 6. Absolute value. Lab; Analyzing Linear Equations in Car Racing. Chapter 5 Resource Lab; Systems of Equations; An Aid to Decision Making. Chapter 6 Resource Lab Packet Lab Packet MA g MA h

4 Solving Inequalities Absolute Value Polynomial Expressions. MA b Simplify algebraic expressions involving exponents (e.g., (3x 4 ) 2 ) MA c Add subtract polynomials MA d Multiply divide polynomials (e.g., divide x 3 8 by x 2, divide x 4 5x 3 2x by x 2 ) 6. Write absolute value equations/inequalities given a graph or an application based problem. 7. Graph linear inequalities. 8. Graph solve a system of linear inequalities. 1. Utilize rules for powers to multiply monomials numbers in scientific notation. 2. Utilize rules for powers to divide monomials numbers in scientific notation. 3. Identify the type degree of a polynomial as well as write equivalent forms in different orders. 4. Add Subtract Polynomials. 5. Multiply Polynomials. 1. Exponent. 2. Monomial. 3. Scientific Notation. 4. Polynomial. 5. Degree. 6. Ascending order. 7. Descending order. 8. Like terms. 9. FOIL. Chapter 7 Resource Factoring. MA e Factor polynomials MA i Solve quadratic equations (e.g., factoring, graphing, quadratic formula) 1. Factor numbers monomials completely. 2. Find a prime factorization for a given number. 3. Find the GCF for a given set of numbers or monomials. 4. Factor a polynomial using the greatest common factor. 5. Factor trinomials with without a leading coefficient. 6. Factor special polynomials. (i.e. Differences of Squares Perfect Square Trinomials.) 7. Simplify. 8. Solve quadratics by factoring. 1. Factor 2. Greatest Common Factor. 3.Binomial Factor. 4.Leading Coefficient. 5.Difference of Squares. 6.Perfect Square Trinomial. Chapter 8 Resource

5 Quadratic (20 Days.) MA d MA i Solve quadratic equations (e.g., factoring, graphing, quadratic formula) 1. Graph Quadratics analyze them. 2. Solve quadratics by graphing. 3. Solve quadratics by completing the square. 4. Solve quadratics using the quadratics formula. 5. Graph exponetial functions. 6. Solve application problems involving growth decay. 1. Quadratic equation. 2.Stard form of a quadratic. 3. Vertex. 4. Zero of the function. 5. Minimum. 6. Maximum. 7. Parabola. 8. Quadratic formula. 9. Completing the square. 10. Exponential function. 11. Exponential graowth decay. Chapter 9 Resource Radical Expressions. (10 Days.) MA Students will represent show relationships among MA a MA d 1. Simplify square roots. 2. Simplify expressions containing square roots. 3. Perform operations with expressions containing square roots. 4. Solve equations containing square roots. 1. Square root. 2. Radical expression. 3. Square factors. 4. Rationalizing a denominator. 5. Radical function. 6. Radical equation. Chapter 10 Resource

Number Theory and Basic Algebra. (10 days)

Number Theory and Basic Algebra. (10 days) LEARNING GUIDE: Algebra 2 Main Resources: Algebra 2 Glencoe/McGraw Hill Copyright: 2010 Standards: MA 12.1: Number Sense: Students will communicate number sense concepts using multiple representations