Algebra 2: First Quarter Algebra 2 YouTube TLT
Unit of Study and Assignments
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Formative/Summative Assessment
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Chapter 1: Linear Functions
1.1: Parent Functions and Transformations (constant, linear, absolute value, quadratic, graph and describe, shifts, stretch/shrink, reflect) 1.2: Transformations of Linear and Absolute Value Functions (shifts, stretch/shrink, reflect, combining all) 1.3: Modeling with Linear Functions (equation from graph, line of best fit, correlation coefficient, regression with calculator) 1.4 Bonus. Solving Linear Systems in 2 Variables (graphing , substitution, elimination—Algebra 1 topic revisited with supplementary materials) 1.4: Solving Linear Systems (Three Variable)(one, none, many solution, by hand, by regression, by matrix reduced row echelon form on TI-84) |
F-IF.7,F-BF.3,F-LE.2 A-REI.6,11 |
1.1-1.2 Quiz Big Ideas Online Assignments for 1.1-1.4. 20-40 questions for each assignment with immediate feedback and multiple attempts KUTA Problem sets for transformations and 2 &3 variable systems of equations C1 Linear Equations Test |
Chapter 2: Quadratic Functions
2.1: Transformations of Quadratics (shifts, stretch/shrink, reflect) 2.2: Characteristics of Quadratic Functions (axis of symmetry, vertex, standard form, min/max values, intercept/factored form) 2.4: Modeling with Quadratic Functions (write equations from point/vertex, point/x intercepts, given three points) |
F-BF.3
F-IF.7 F-IF.6 |
2.1-2.2 Quiz
Big Ideas Online Assignments for 2.1,2.2,2.4 20-40 questions for each assignment with immediate feedback and multiple attempts |
Chapter 3: Quadratic Equations and Complex Numbers
3.1: Solving Quadratic Equations (by graphing, algebraically by square roots and factoring, zero product property, find zeros) 3.2: Complex Numbers (hierarchy of numbers, i, imaginary and real, operations with complex numbers, complex solutions and zeros) 3.3: Completing the Square (with even linear term and “a” =1, then with odd linear and “a” not equal 1, derivation of quadratic formula from ax^2+bx+c=0, vertex form, solving) 3.4: Using the Quadratic Formula (derive from completing square, solve with one or two real solutions, solve with imaginary solutions, discriminant evaluation) 3.5: Solving Nonlinear Systems (quadratics, linear, circles, many/one/no solution cases, by graphing, but substitution, by elimination 3.6: Quadratic Inequalities (by graphing, in two variables or in one variable) |
A-SSE.3a, A-REI.3,4 N-CN.1,2,3,7,8,9 A-REI.4a A-SSE.3 b F-IF.8a A-REI.7,8,9 |
3.1-3.3 Quiz Big Ideas Online Assignments for 3.1-3.6 including Mathematical Proficiency: 20-40 questions for each assignment with immediate feedback and multiple attempts Infinite Algebra 2 Problems sets for practice completing the square and quadratic formula C3 Quad Equations Test |
Algebra2: Second Quarter
Chapter 4: Polynomial Functions
4.1: Graphing Polynomial Functions (end behavior, degree, lead coefficients, identify, graph) 4.2: Add/Sub/Mult Polynomials (add, multiply, special products, prove polynomial identity, special product patterns, binomial expansion using pascal’s triangle) 4.3: Dividing Polynomials (long and synthetic) 4.4: Factoring Polynomials (common, differences, grouping, in quadratic form, factor theorem) 4.5: Solving Polynomial Equations (zeros, rational root theorem, irrational conjugates thm, 4.6: Fundamental Theorem of Algebra (FTA, complex conjugates, Descartes Rule of Signs, 4.7: Transformations of Polynomials (horiz, vert, stretches, shrinks, reflections) 4.8: Analyze Polynomial Graphs (real zeros, maximums, minimums, turning points, local max/min, even and odd functions) 4.9: Modeling with Polynomial Functions (cubics, finite differences, regression with technology) |
F-IF.7 A-SSE.2,A-APR.1,4,5 A-APR.2,6 A-APR.4 F-BF.3 F-IF.7, F-IF.1, F-IF.2, F-IF.4, |
4.1-4.3 Quiz Big Ideas Online Assignments for 4.1-4.9 including Mathematical Proficiency: 20-40 questions for each assignment with immediate feedback and multiple attempts KUTA Problem sets for synthetic division, long poly division, rational roots 4.4-4.6 Quiz 4.7-4.9 Quiz Chapter 4 Test |
Algebra2: Third Quarter
Chapter 5: Rational Exponents and Radical Functions
5.1: nth Roots and Rational Exponents (find, evaluate, and solve equations using nth roots) 5.2: Properties of Rational Exponents and Radicals (product of powers, power of a power, power of a product, negative exponent, zero exponent, quotient of powers, power of a quotient, write radicals in simplest form, add/subtract/mult/divide radicals) 5.3 Graphing Radical Functions (transformations, graph circles and parabolas) 5.4. Solve Radical Equations and Inequalities (radical on one or two sides, solve when rational exponent form, solve inequalities, 5.5 Perform Operations on Functions (add,subtract,multiply,divide, compose) 5.6 Inverse of a Function (graph, find, verify—emphasis on quad, cube, rad) |
N-RN.3 (prop of rat /irrational #’s-supp A-REI.2 (Solve rat/rad) |
5.1-5.2 Quiz Big Ideas Online Assignments for 5.1-5.6 including Mathematical Proficiency: 20-40 questions for each assignment with immediate feedback and multiple attempts KUTA Problem sets for transformations, inverses, nth roots 5.3-5.4 Quiz 5.5-5.6 Quiz Chapter 5 Test |
Chapter 6: Exponential and Logarithmic Functions
6.1: Exponential Growth and Decay Functions(graph growth/decay, compound interest, radioactive decay) 6.2 The Natural Base e (graphing, applications, continuously compounded) 6.3: Logarithms and Log Functions(rewrite exp/log equations, evaluate exp/log equations, common/natural logs, inverse functions, 6.4: Transformations of Exp and Log Functions (all transforms, interpret and graph) 6.5: Properties of Logarithms(product, quotient,power,expand,condense) 6.6: Solving Exponential and Log Equations(solve, apply, extraneous and inequalities) 6.7: Modeling with Exp and Log Functions (classify data, finite differences, technology regression) |
F-IF.8b,F-LE.2 F-BF.1, F-BF.5(inverse) F-IF.7e F-BF.4 (inverse) F-LE.3-5 observe,express,interpret) F-LE.1a,b,c |
6.1-6.4 Quiz Big Ideas Online Assignments for 6.1-6.7 including Mathematical Proficiency: 20-40 questions for each assignment with immediate feedback and multiple attempts KUTA Problem sets for graphing, transformations. Activity for comparing simple, compound, and continuous interest Chapter 6 Test |
Algebra2: Fourth Quarter
Chapter 7: Rational Functions
7.1: Inverse Variation (recognize, classify, write direct variation) 7.2: Graph Rational Functions (graphs, transformations, models) 7.3: Mult and Div Rational Functions (simplify, multiply, divide) 7.4: Add/Sub Rationals (with like and dislike denominators, find LCM’s,rewrite, simplify complex fractions) 7.5 Solve Rational Functions (solve by xmult, solve by using lcd, extraneous solutions, finding inverses) |
A-APR.7+ F-IF.7d |
Big Ideas Online Assignments for 7.1-7.5 including Mathematical Proficiency: 20-40 questions for each assignment with immediate feedback and multiple attempts 7.2 Desmos Graphing Activity 7.1-7.2 Quiz 7.3-7.4 Quiz Chapter 7 Test |
Chapter 8: Sequences and Series 8.1: Define and Use Sequence and Series (write rules, series and summation notation, finding sum of series, use formula for a sum) 8.2: Arithmetic Sequence and Series (identify arithmetic, write rule for nth term, common differences, sums, applications, connection to linear eqns. 8.3: Geometric Sequence and Series (identify, write rule, rule for sum common rations, exponentials, applications) |
F-IF.3 F-BF.1a |
Big Ideas Online Assignments for 8.1-8.3 including Mathematical Proficiency: 20-40 questions for each assignment with immediate feedback and multiple attempts Infinite Algebra 2 Assignments for additional practice 8.1-8.3 Test |
Chapter 9: Trig Ratios and Trig Functions
9.1 Right Triangle Trig (basic trig functions, evaluate, apply, solve, elevation/ depression) 9.2: Angles and Radian Measure (standard position, coterminal, radians) 9.3 Trig Functions of any Angle (unit circle, reference angles, applications) 9.4 Graph sine and cosine (unit circle to coordinate plane, transformations) 9.5 Graph other trig functions (tan, cot, sec, csc and transformations) 9.6 Modeling w trig functions (frequency, sinusoids, technology) 9.7 Trig identities (reciprocal, tan/cot,Pythagorean, cofunction, negative angles, find, simplify, verify) 9.8 Using sum and difference formulas (derive, evaluate, use, solve) |
F-TF.1 F-TF.2 F-TF.3 F-TF.4 F-TF.5 F-TF.6 FTF.7 FTF.8 FTF.9 |
Big Ideas Online Assignments for 9.1-9.8 including Mathematical Proficiency: 20-40 questions for each assignment with immediate feedback and multiple attempts Unit Cirlce Quiz Application activity measuring outside heights Quizzes. 9.1-9.3, 9.4-9.5, 9.7-9.8 Test Chapter 9 |