ALGEBRA 1 - Unit #1. Data Analysis & Probability UNIT COMPONENTS. 2 Weeks. Standards/Benchmarks

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1 ALGEBRA 1 - Unit #1 Data Analysis & Probability 2 Weeks D.1.1, D.1.2, D.1.4, D.2.5, D.2.8, D.2.9, D.3.1, D.3.3, D.3.4 Analyzing Data Probability Outlier Correlation Stem-and-leaf Box-and-whisker Scatter plot Fundamental counting principle Event Theoretical probability Experimental probability Sample Space Representative sampling Fundamental counting principle (Multiplication counting principle) Probability of compound events Probability with counting techniques 2. Describe correlation of a scatterplot 3. Group and analyze real-world data in Stem-and-leaf plot 4. Group and analyze real-world data in Box-and-whisker plot 5. Determine the validity of sampling and surveys 6. Define probability as either theoretical or experimental 7. Use multiplication counting principle 8. Find number of ways items can be arranged (counting principle) 9. Find probability of real-world situations notebook Project/Activity Textbook Chapter 1 Sec 5 & 6 Pg. 38 Pg. 52 Textbook Chapter 2 Sec 6 & 7 Pg. 426 Textbook Chapter 12 Sec 7

2 ALGEBRA 1 - Unit #2 Solving Equations and Inequalities (1 Variable) 4 Weeks A.1.1, A.1.8, A.1.17, G.1.1, G.4.1 Simplify Algebraic Expressions Solve 1 Variable Equations Solve & Graph 1 Variable Inequalities Properties of real numbers simplify numerical expressions 1 step 2 step solve 1 variable equations 1 step 2 step Solve 1 variable inequalities 1 step 2 step Multi-step expressions with integer exponents Multi-step (1 variable) equations with integer exponents Multi-step (1 variable) proportions Absolute value equations Transforming formulas Multi-step (1 variable) inequalities with integer exponents Multi-step (1 variable) inequalities with absolute values Compound inequalities 1. Simplify multi-step expressions 2. Solve multi-step equations 3. Solve multi-step inequalities 4. Transform equations and formulas (multiple variables) 5. Solve compound inequalities 6. Write compound inequalities 7. Graph compound inequalities 8. Solve absolute value equations 9. Graph absolute value equations 10. Solve absolute value inequalities 11. Graph absolute value inequalities 12. Solve real world problems using multi-step equations and inequalities Textbook Chapter 3 Sec 1-6 Textbook Pg. 140 & 141 WS Transform Formulas Textbook Chapter 4

3 ALGEBRA 1 - Unit #3 Linear Equations and Inequalities (2 Variables) 6 Weeks A.1.1, A.2.1 A.2.2, A.2.3, A.2.4, A.2.5, A.2.6, A.2.7, A.2.10, A.2.13, A.2.14, A.2.15, A.3.1, A.3.6, A.3.7, A.3.8, G.2.1 Write 2 Variable Equations Graph 2 Variable Equations Graph Linear Inequalities Direct variation Inverse variation Independent variable Dependent variable Point-slope form Standard form Relation Function Slope-intercept form Trend line (Line of best fit) Function notation Write & transform linear equations slope-intercept point-slope standard Domain Range (of function) Graph pts on coordinate plane Slope - pos, neg, zero, undefined Graph line using table method Graph y=mx+b & y=a+bx x intercept y intercept Graph SF using intercepts Graph (with table) absolute value > greater than (>) < less than (<) Graph linear inequality Transform (rewrite) to graph an inequality 2. Determine whether relation is a function using vertical line test 3. Use graphs to represent functional relationships 4. Use function notation to write a function rule 5. Identify independent and dependent quantities 6. Model 2 variable equations with table & graph (linear, absolute value) 7. Write and compare direct and inverse variation 8. Derive linear equations given a point & slope or given 2 points 9. Transform linear equations to appropriate form 10. Write equations for parallel & perpendicular lines 11. Determine whether graphs of linear equations are perpendicular, parallel, coincide, or none of these 12. Graph linear equations 13. Write an equation for a trend line with and without technology 14. Use trend line to make predictions 15. Graph linear inequalities (show test point method) 16. Identify reasonable domain and range of real-world situation 17. Model real-world phenomena using linear equations & inequalities, tables and graphs notebook Pg. 24 & 25 (or WS or Activity-Battleship) Textbook Chap 1 Sec 4 Textbook Chap 5 Sec 1-6 *Note Sec 5.3 exclude quadratics Textbook Chap 6 Textbook Chap 7 Sec 5

4 ALGEBRA 1 - Unit #4 Systems of Linear Equations and Inequalities 3 Weeks A.3.4, A.3.5 Graphing Systems Solving Systems Algebraically Graph System of Inequalities System of linear equations Substitution method Elimination (addition) method Graph a line Point of intersection Systems of 2 variables: solve graphically without technology Matrices add subtract Systems of 2 equations: substitution method elimination (combination)method matrix Matrices multiply inverse Linear inequalities Systems of linear inequalities: solve graphically without tech 2. Estimate solutions of 2 variable system by graphing 3. Solve system of 2 variables using the substitution method 4. Solve system of 2 variables using the elimination method 5. Solve system of 2 variables using technology (inverse matrix) 6. Solve system of linear inequality by graphing (shaded overlapping) 7. Write a system of inequalities for a given graph 8. Solve real world problems using systems of linear equations and inequalities notebook Textbook Chapter 7 (not Sec 5) Textbook Pg. 77 (without tech) WS matrix multiplication to solve system (without tech) Pg. 394

5 ALGEBRA 1 - Unit #5 Exponential Functions 3 Weeks A.1.3, A.1.11, A.1.19, A.2.9, A.3.3, G.1.3 Simplify Expressions with Exponents Combine like terms (+/- exponents) Scientific notation Properties of exponents: zero & negative exponents multiplication division Graph Exponential Functions Graph exponential functions Table (evaluate expo functions) Exponential Growth & Decay Exponential growth Exponential decay Model exponential functions Growth Decay 2. Simplify and evaluate exponential expressions 3. Multiply powers with the same base 4. Multiply numbers in scientific notation 5. Raise a power to a power 6. Raise a product to a power 7. Divide powers with the same base 8. Raise a quotient to a power 9. Solve real world problems using exponential growth & decay (compound interest, population growth, population decay) notebook Activity Textbook Chapter 8 Sec 1-5, 7,8

6 ALGEBRA 1 - Unit #6 Radicals & Right Triangle Trigonometry 4 weeks A.1.10, G.1.4, G.2.3, G.4.4, G.4.5, G.4.6, G.4.7 Radical Expressions Radical Equations Right Triangle Trigonometry radical Perfect squares Square roots Simplifying radical expressions Solving Radical Equations Identify right triangles Pythagorean Theorem Trigonometric ratios Special right triangles 2. Simplify square roots involving products 3. Simplify square roots involving quotients 4. Combine like radicals (square roots) 5. Solve equations containing square roots 6. Identify extraneous solutions 7. Use the converse of the pythagorean theorem 8. Use right triangle ratios with and without technology 9. Find missing side length and/or angle of special right triangles 10. Model and solve real world problems using pythagorean theorem notebook Textbook Chap 11 Sec 1, 2, 3, 5 Textbook Chap 3 Sec 9 Textbook Pg. 188 WS on Special Rt. Triangles

7 ALGEBRA 1 - Unit #7 Polynomials & Quadratics 7 Weeks A.1.9, A.1.15, A.1.18, A.2.8, A.2.10, A.2.11, A.3.2, G.1.3 Polynomial Expressions Graphing Quadratics Solving Quadratics Polynomial Classifying polynomials Standard form Basic operations Factoring Parabola Parent function Transformation of functions Standard form of quadratic equation Quadratic formula Quadratic in Standard Form Discriminant Zeros/roots Square roots Discriminant Solve quadratic equation 2. Simplify and evaluate polynomials 3. Classify polynomials by degree 4. Classify polynomials by number of terms 5. Perform basic operations polynomials (add, sub, mult, long division) 6. Mult special cases (square of binomial, difference of squares) 7. Factor out a monomial 8. Factor trinomial with 2 variables (guess & check) 9. Factor special cases (perfect-square trinomial, diff of two squares) 10. Factor by grouping 11. Use discriminant to determine the number of real solutions 12. Graph quadratics using table (find vertex & point on each side) 13. Given quadratic in standard form, find axis of symmetry 14. Given quadratic in standard form, find vertex 15. Use leading coefficient to determine if parabola opens up or down 16. Solve quadratic equation by graphing 17. Solve quadratic equation by square roots 18. Solve quadratic equation by factoring 19. Solve quadratic equation by quadratic formula 20. Model and solve real world problems using quadratic equations notebook Textbook Chap 9 Textbook Chap 3 Sec 8 Textbook Chap 10 Sec 1-4, 6 & 7 (exclude inequalities in Sec 2)