Advanced Algebra Pacing Calendar Unit 1: Quadratics Revisited Students learn that when quadratic equations do not have real solutions the number system must be extended so that solutions exist, analogous to the way in which extending the whole numbers to the negative numbers allows x+1 = 0 to have a solution. Students explore relationships between number systems: whole numbers, integers, rational numbers, real numbers, and complex numbers. Students will perform operations with complex numbers and solve quadratic equations with complex solutions. Sunday Monday Tuesday Wednesday August 2015 Thursday Friday Saturday 1 2 3 9 10 4 5 6 7 8 First Day of School Culture Building and Norm Setting Culture Building and Norm Setting 11 12 13 14 15 18 19 20 21 22 25 26 27 28 29 Unit 1 – Quadratics Revisited 16 17 Unit 1 – Quadratics Revisited Assessments Pre Administration SLO Window Aug. 10th-Sept.11th 23 24 Unit 1 – Quadratics Revisited 30 31 Unit 1 Advanced Algebra Pacing Calendar Unit 2: Operations with Polynomials Students draw on analogies between polynomial arithmetic and base-ten computation, focusing on properties of operations, particularly the distributive property. Students connect multiplication of polynomials with multiplication of multidigit integers, and division of polynomials with long division of integers. Students will find inverse functions and verify by composition that one function is the inverse of another function. Sunday Monday Tuesday Wednesday 1 Thursday 2 7 Labor Day 13 14 8 Friday 3 Saturday 4 5 10 11 12 16 17 18 19 23 24 25 26 Unit 1 – Quadratics Revisited 6 September 2015 Unit 1 Extend/Review/Assess/Reteach 9 Unit 2 – Operations with Polynomials 15 Unit 2 – Operations with Polynomials 20 21 22 Unit 2 – Operations with Polynomials 27 28 29 Unit 2 – Operations with Polynomials 30 Advanced Algebra Pacing Calendar Unit 3: Polynomial Functions In this unit, students continue their study of polynomials by identifying zeros and making connections between zeros of a polynomial and solutions of a polynomial equation. Students will see how the Fundamental Theorem of Algebra can be used to determine the number of solutions of a polynomial equation and will find all the roots of those equations. Students will graph polynomial functions and interpret the key characteristics of the function. Sunday Monday Tuesday Wednesday October 2015 Thursday Friday 1 Saturday 2 3 9 10 Unit 2 – Operations with Polynomials 4 5 Unit 2 11 7 13 12 8 Teacher Professional Learning Unit 2 Extend/Review/Assess/Reteach Fall Break 18 6 Fall Break 14 15 16 17 20 21 22 23 24 27 28 29 30 31 Unit 3 – Polynomial Functions 19 Unit 3 – Polynomial Functions 25 26 Unit 3 – Polynomial Functions Advanced Algebra Pacing Calendar Unit 3: Polynomial Functions In this unit, students continue their study of polynomials by identifying zeros and making connections between zeros of a polynomial and solutions of a polynomial equation. Students will see how the Fundamental Theorem of Algebra can be used to determine the number of solutions of a polynomial equation and will find all the roots of those equations. Students will graph polynomial functions and interpret the key characteristics of the function. Sunday Monday 1 Tuesday 2 Wednesday November 2015 Thursday Friday Saturday 3 4 5 6 7 10 11 12 13 14 Unit 3 – Polynomial Functions 8 9 Unit 3 – Polynomial Functions 15 16 Unit 3 Extend/Review/Assess/Reteach 17 18 19 20 21 25 26 27 28 Unit 4 – Rational and Radical Relationships 22 23 24 Thanksgiving Holiday 29 30 Unit 4 Advanced Algebra Pacing Calendar Sunday Monday Tuesday Wednesday December 2015 Thursday Friday Saturday Unit 4: Rational and Radical Relationships 1 Rational numbers extend the arithmetic of integers by allowing division by all numbers except 0. Similarly, rational expressions extend the arithmetic of polynomials by allowing division by all polynomials except the zero polynomial. A central theme of this unit is that the arithmetic of rational expressions is governed by the same rules as the arithmetic of rational numbers. Similarly, radical expressions follow the rules governed by irrational numbers. 2 3 4 5 9 10 11 12 16 17 18 End of First Semester 19 23 24 25 26 Unit 4 – Rational and Radical Relationships 6 7 8 Unit 4 – Rational and Radical Relationships 13 14 15 Unit 4 – Rational and Radical Relationships 20 21 22 Semester Break (December 22- January 5) 27 28 29 30 31 Advanced Algebra Pacing Calendar Unit 4: Rational and Radical Relationships Rational numbers extend the arithmetic of integers by allowing division by all numbers except 0. Similarly, rational expressions extend the arithmetic of polynomials by allowing division by all polynomials except the zero polynomial. A central theme of this unit is that the arithmetic of rational expressions is governed by the same rules as the arithmetic of rational numbers. Similarly, radical expressions follow the rules governed by irrational numbers. Sunday Monday Tuesday Wednesday January 2016 Thursday Friday Saturday 1 2 8 9 15 16 21 22 23 28 29 30 Semester Break 3 4 Teacher Professional Learning 10 11 6 5 First Day of Semester Unit 4 – Rational and Radical Relationships 12 13 Unit 4 – Rational and Radical Relationships 17 24/31 18 MLK Birthday 25 19 7 14 Unit 4 Extend/Review/Assess/Reteach 20 Unit 5 – Exponential and Logarithms 26 Unit 5 – Exponential and Logarithms 27 Advanced Algebra Pacing Calendar Unit 5: Exponential and Logarithms Sunday Monday Tuesday 1 Students extend their work with exponential functions to include solving exponential equations with logarithms. They analyze the relationship between these two functions. Wednesday 2 February 2016 Thursday Friday Saturday 3 4 5 6 10 11 12 13 Unit 5 – Exponential and Logarithms 7 8 9 Unit 5 – Exponential and Logarithms 14 15 16 22 23 Unit 5 – Exponential and Logarithms 28 29 Unit 6 17 18 19 20 26 27 Unit 5 – Exponential and Logarithms Winter Break 21 Winter Break 24 25 Unit 5 Extend/Review/Assess/Reteach Advanced Algebra Pacing Calendar Unit 6: Mathematical Modeling In this unit students synthesize and generalize what they have learned about a variety of function families. They explore the effects of transformations on graphs of diverse functions, including functions arising in an application, in order to abstract the general principle that transformations on a graph always have the same effect regardless of the type of the underlying functions. They identify appropriate types of functions to model a situation, they adjust parameters to improve the model, and they compare models by analyzing appropriateness of fit and making judgments about the domain over which a model is a good fit. They determine whether it is best to model with multiple functions creating a piecewise function. Students will also explore finite the sum of finite geometric series. Sunday Monday Tuesday Wednesday March 2016 Thursday Friday Saturday 1 2 3 4 5 8 9 10 11 12 15 16 17 18 19 Unit 6 – Mathematical Modeling 6 7 Unit 6 – Mathematical Modeling 13 14 Teacher Professional Learning Unit 6 – Mathematical Modeling 20 21 22 23 24 30 31 Unit 6 – Mathematical Modeling 27 28 Unit 6 – Mathematical Modeling 29 25 26 Advanced Algebra Pacing Calendar Unit 6: Mathematical Modeling In this unit students synthesize and generalize what they have learned about a variety of function families. They explore the effects of transformations on graphs of diverse functions, including functions arising in an application, in order to abstract the general principle that transformations on a graph always have the same effect regardless of the type of the underlying functions. They identify appropriate types of functions to model a situation, they adjust parameters to improve the model, and they compare models by analyzing appropriateness of fit and making judgments about the domain over which a model is a good fit. They determine whether it is best to model with multiple functions creating a piecewise function. Students will also explore finite the sum of finite geometric series. Assessments Post Administration SLO Window—April 27th-May 22nd Sunday Monday Tuesday Wednesday April 2016 Thursday Friday Saturday 1 2 7 8 9 14 15 16 Unit 6 3 4 5 6 Spring Break (April 6-10) 10 11 12 13 Unit 6 – Mathematical Modeling 17 18 19 Unit 6 Extend/Review/Assess/Reteach 20 21 22 23 27 28 29 30 Unit 7 – Inferences and Conclusions from Data 24 25 26 Unit 7 – Inferences and Conclusions from Data Advanced Algebra Pacing Calendar Unit 7: Inferences and Conclusions from Data Sunday Monday 1 In this unit, students see how the visual displays and summary statistics they learned in earlier grades relate to different types of data and to probability distributions. They identify different ways of collecting data— including sample surveys, experiments, and simulations—and the role that randomness and careful design play in the conclusions that can be drawn. Tuesday Wednesday 2 3 May 2016 Thursday Friday Saturday 4 5 6 7 11 12 13 14 18 19 20 21 27 28 Unit 7 – Inferences and Conclusions from Data 8 9 10 Unit 7 – Inferences and Conclusions from Data 15 16 17 Unit 7 – Inferences and Conclusions from Data 22 23 24 APS Maymester Math Remediation for Re-Test or Enrichment Curricula Assessments Spring Post SLO April 11th – May 20th 29 30 31 Unit 7 Extend/Review/Assess/Reteach 25 Last Day of School 26