# Geo B/Acc Algebra II

Accelerated Geometry B/ Algebra II

Unit 7:  Exponential and Logarithmic Functions

Essential Question:  How do you graph and solve exponential and logarithmic functions?

 DAY TOPIC CLASSWORK HOMEWORK Wed 5/10 Exponential and Logarithmic Functions/Graphing 05-01-ExponentialModels-Blank-1i207w1 05-01-ExponentialModels-Complete-xz0g6e 05-02-GraphingExponentialFunctions-Blank-1mgsjrd 05-02-GraphingExponentialFunctions-Complete-1xhs4j2 Thur 5/11 Converting between Exponential and Log Functions/Graphing 05-03-ConvertingExponents&Logs-Blank-19tvxx5 05-04-GraphingLogFunctions-Blank-2gt2u32 05-03-ConvertingExponents&Logs-Complete-18wo5ou 05-04-GraphingLogFunctions-Complete-1eczgfi Fri 5/12 Inverses of Exponential and Logarithmic Functions 05-05-InversesOfLog&Exp-Blank-1x23egs 05-08-LogEquations-Blank-2aa8hv0 Mon 5/15 Properties of Exponents and Logs 05-06-PropertiesOfExponents&Logs-Blank-1fh4yck 05-06-PropertiesOfExponents&Logs-Complete-1hkdc5i Tue 5/16 Solving Exponential and Log Equations 05-07-ExponentialEquations-Blank-25hjo9m 05-07-ExponentialEquations-Complete-28kfqzl 05-08-LogEquations-Blank-2aafx79 05-08-LogEquations-Complete-v05p84 Wed 5/17 More Solving Exponential and Log Equations 05-09-Solving Exp and Log Eqs-Blank-13n610o 05-09-Solving Exp and Log Eqs-Complete-q0go1f Thur 5/18 REVIEW 05-10-Unit Review-1944v0l 05-10-Unit Review Key-1rrw7jo Fri 5/19 UNIT TEST Final Exam Review-10yli56

Standards:

MGSE9-12.A.CED.2  Create equations in two or more variables to represent relationships between quantities, graph equations on coordinate axes with labels and scales.

MGSE9‐12.A.SSE.3c Use the properties of exponents to transform expressions for exponential functions.

MGSE9‐12.A.SSE.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

MGSE9-12.F.BF.4 Solve an equation for a function that has an inverse and write the expression for the inverse.  Read values of an inverse function from a graph or table.

MGSE9‐12.F.BF.5 (+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

MGSE9‐12.F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

MGSE9‐12.F.IF.7e Graph exponential and logarithmic functions, showing intercepts and end behavior.

MGSE9‐12.F.IF.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

MGSE9‐12.F.IF.8b Use the properties of exponents to interpret expressions for exponential functions.

Geometry B/ Algebra II

 Date Topic Homework Friday, 5/5 EOC Review geometry eoc practice test #2-182cryy http://www.gaexperienceonline.com/ EOC Notes over Circles-2bqxs5u Monday, 5/8 EOC Room 208 Tuesday, 5/9 EOC Room 208 Wednesday, 5/10 Thursday, 5/11 Friday, 5/12

Unit 6B: Radicals and Rational Exponents

Essential Question: How are radicals and rational exponents related?

Accelerated Geometry B/Algebra II

Unit 6A:  Rational Relationships

Essential Question:  How do you graph and solve rational functions?

 MGSE9-12.A.APR.7 (Rewrite rational expressions) MGSE9-12.A.CED.1  (Create equations & inequalities-1 variable) MGSE9-12.A.CED.2  (create equations & inequalities-2 variables) MGSE9-12.A.REI.2 (Solve simple radical & rational equations) MGSE9-12.F.IF.4 (Characteristics of functions) MGSE9-12.F.IF.5 (Domains of functions) MGSE9-12.F.IF.7 (Graph Functions) MGSE9-12.F.IF.7b (Graph square rt, cube rt, piecewise, step & absolute value functions) MGSE9-12.F.IF.7d (Graph rational functions)

Unit 5:  Polynomial Functions

Essential Question:  How do you graph and solve polynomial functions?

 DAY TOPIC CLASSWORK HOMEWORK Friday, 3/10 Polynomials: Adding, Subtracting and Graphing 2.1 – Polynomial Characteristics-1w0iv0l 2.1 – Polynomial Characteristics – Notes-1h65wav 2.1 – Textbook HW-ua37z9 2.1 – Textbook ANSWERS-vofnnv Monday, 3/13 Polynomial Multiplication 2.2 – Multiplying & binomial expansion WS-1dl5rdb 2.3 – Combining Functions – HW-1yhqxbs Tuesday, 3/14 Pi Day/Dividing Polynomials 2.5 – Long Division-1tmzd4a 2.6 – Synthetic Division-202sac3 2.4 – Long Division Homework _4 problems_-1ejlfmf 2.6 – Synthetic Division Textbook-25urv83 Wednesday 3/15 Synthetic Division/Review for Quiz 2.5 – Long Division-1tn1iuv 2.6 – Synthetic Division-202udz6 2.6 – Synthetic Division Textbook-25utz2y Polynomial Operations Review Spring 2017 Honors ALgebra II(1)-u4t3pw Unit 2 Poynomials Quiz Review Spring 2017 KEY(1)-1p1hcb0 Thursday, 3/16 QUIZ/ Factoring 03-02-PolynomialFactoringIdentities-Blank-2ibntro 03-02-PolynomialFactoringIdentities-Complete-p5dfhz 03-03-AlternateFactoringMethods-Blank-wn4ogs 03-03-AlternateFactoringMethods-Complete-23vpoxj 2.7 Factoring Homework-14uhpjl 2.7 Factoring Homework Key-1ib4jm8 Friday, 3/17 Fundamental Theorem of Algebra 03-02-Factoring Practice-25gukqv 03-02-Answers to Factoring Practice-1qrtgha Monday, 3/20 Analyzing Graphs of Polynomial Functions 03-01-FundamentalThrmOfAlg-Blank-1qpubzw 03-01-FundamentalThrmOfAlg-Complete-1gbfini 03-01-FundamentalThrmOfAlg-Blank-1qpubzw 03-01-FundamentalThrmOfAlg-Complete-1gbfini Tuesday, 3/21 Practice Solving using the Rational Root and the Factor Theorems 03-04-Finding all Zeros of a Polynomial Function-27ba9o7 03-04-Finding all Zeros of a Polynomial Function Key B-1b3zf7p 03-04-RationalRtRemainderThrm-Blank-149d9ih 03-04-RationalRtRemainderThrm-Complete-upf9a0 Wednesday 3/22 Analyzing Graphs and Application Problems 03-04-RationalRtRemainderThrm-Blank-149h26t 03-04-RationalRtRemainderThrm-Complete-upj1ye 03-05-PolynomialSymmtryGraphing-Blank-1q7rxdt 03-05-PolynomialSymmtryGraphing-Complete-18nflfb 03-06-PolynomialChrctrstcsContext-Blank-1fre407 03-06-PolynomialChrctrstcsContext-Complete-1hs660e Thursday, 3/23     Friday, 3/24 Unit Review       UNIT TEST 2.7 – Test Review – Additional review-p6hix5 2.7 – KEY – Test Review #2 – Additional -ANSWERS-2jg9fpn Unit Review-1m4q0w9   Create a USAtestprep account if you don’t already have one. Join my class and complete the assignment over Similarity

Accelerated Geometry B/ Algebra II

Standards:
Perform arithmetic operations with complex numbers.
MGSE9-12.N.CN.1 Understand there is a complex number i such that i2 = −1, and every complex number has the form a + bi where a and b are real numbers.
MGSE9-12.N.CN.2 Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
MGSE9-12.N.CN.3 Find the conjugate of a complex number; use the conjugate to find the quotient of complex numbers.
Use complex numbers in polynomial identities and equations.
MGSE9-12.N.CN.7 Solve quadratic equations with real coefficients that have complex solutions by (but not limited to) square roots, completing the square, and the quadratic formula.
MGSE9-12.N.CN.8 Extend polynomial identities to include factoring with complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x – 2i).

Accelerated Geometry B/Algebra II

Unit 3:  Applications of Probability

Essential Question:  How do you calculate the probability of one or more events?

 DAY TOPIC CLASSWORK HOMEWORK 2/9 Set Theory and Venn Diagrams Finish Unit 2 Test Constructed Response Questions 10.1 – Vocabulary Set Notation and Venn Diagrams v2-wr6qhs 10.1 – Classwork – Venn Diagrams-p61ayj 10.1 – Classwork – Venn Diagrams – KEY – in color-2hb5y3p 10.1 – Homework – Venn Diagrams-2dtxaik 10.1 – Homework – Venn Diagrams – KEY – in color-2a25q9n 2/10 Theoretical and Experimental Probability 10.2 – Mutually Exclusive v2-1wi54l5 10.2 – Practice – Mutually Exclusive & Overlapping-1ufm2xa 10.2 – Notes – Mutually Exclusive vs Overlapping(1)-27ho0xl 10.2 – Homework – Mutually Exclusive & Overlapping-1x60bsx 10.2 – Homework – Mutually Exclusive & Overlapping – KEY – in color-1qbwkij 2/13 Conditional Probability/Independent and Dependent Probability 10.3 – Conditional Probability v3-29joyw5 10.3 – Classwork – Conditional Probability(1)-1k5i9t7 10.3 – Classwork – Conditional Probability – KEY – in color-144gt7m 10.4 – Independent and Dependent v2-12gwkkg 10.4 – Homework – Independent vs Dependent-qkx286 10.4 – Homework – Independent vs Dependent – KEY – in color-1iwefi3 2/14 Cont. Independent vs Dependent 10.4 – Homework – Independent vs Dependent-qkz1qz 10.4 – Homework – Independent vs Dependent – KEY – in color-1iwgf0u 10.4 – Homework _ef_ – Independent vs Dependent-1pc2hp7 10.4 – Homework _ef_ – Independent vs Dependent – KEY – in color(1)-1sfn943 10.5 – Practice – Using Formulas and Working Backwards-1joeocj 10.5 – Practice – Using Formulas and Working Backwards – KEY – in color-r4yf5l 2/15 Review Unit 3 Probability Review 2-wtr3tu Probability Review 2 Key-19f24hc 2/16 Review Unit 3 Probability Review-wtg77n Probability Review Key-2hxbl9d 2/17 UNIT 3 TEST Unit 3 Test No homework

Standards:

MCC9-12.S.CP.1 Describe events as subsets of sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections or complements of other events (“or”, “and”, “not”)

MCC9-12.S.CP.2 Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities and use this characterization to determine if they are independent.

MCC9-12.S.CP.3  Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.

MCC9-12.S.CP.4  Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified.  Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.

MCC9-12.S.CP.5  Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.

MCC9-12.S.CP.6  Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.

MCC9-12.S.CP.7  Apply the Addition Rule P(A or B) = P(A) +P(B)-P(A and B), and interpret the answer in terms of the model.

Accelerated Geometry B/Algebra II

Unit 2: Geometric and Algebraic Connections

 DATE TOPIC CLASSWORK HOMEWORK 1/27       1/30 Equations of Circles       Equations of Circles/Review Midpoint Constructions Quiz         https://www.geogebra.org/m/WFbyhq9d https://www.geogebra.org/m/RCYvXnuR https://www.geogebra.org/m/QN3R5S33 8.0 Equations of Circles-pwkpp1 Homework is pp. 583-584 8-66 evens only   8.5 – Practice-165y6v3 1/31 Solving Systems of Parabolas and Lines;  Solving Systems of Circles and Lines 8.4 Review of Systems from Algebra-1ecasur 8.4 Review of Systems from Algebra Key-1zgjgkq 8.4 Systems of Equations HW-1kq5dyz 8.4 Systems of Equations HW Key-1sc9ez5 2/1 Slopes: Parallel and Perpendicular/Points on a Circle Unit 6 Formulas-2k1q254 8.2 – Write Equations Parallel and Perpendicular-1369xu7 8.1 – Notes – Writing an Equation of a Line-2dauad4 8.2 – Practice-26k7m76 8.2 – Practice – ANSWERS-1p08hhy 2/2 QUIZ on Circles, Systems, and Slopes Perimeter/Area and Partitions Quiz 8.6 – Practice-2f6gtam 2/3 Continue Partitions 8.6 – Practice-2f6iluv 6.9.hw.partition.2.dim.day.70-1maqe60 2/6 Coordinate Proofs 2/7 Review Unit 2 Unit 2 Review-vnjp5i Unit 2 Review Key-2c40vxj Unit 2 Additional Practice with Key-236o7j5 Unit 2 Review-vnjp5i Unit 2 Review Key-2c40vxj Unit 2 Additional Practice with Key-236o7j5 2/8 Unit 2 Test No homework

Essential Question: How do I apply what I have learned about coordinate geometry to a real-world situation?

Standards for the Unit:

MGSE9-12.G.GPE.1 Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation

MGSE9-12.G.GPE.4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0,2). (Focus on quadrilaterals, right triangles, and circles.)

MGSE9-12.G.GPE.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

MGSE9-12.G.GPE.6 Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

MGSE9-12.G.GPE.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

Accelerated Geometry B/ Algebra II

Unit 1:  Circles and Volume

 DAY TOPIC CLASSWORK ASSIGNMENT 1 Circle Vocabulary and Central Angles accelerated-geometry-algebra-ii-pre-requisite-packet 7-1-circle-vocab-term-notes-v2 2 Inscribed Angles and Quadrilaterals/Secant and Tangent Angles 7-2-inscribed-angles-and-inscribed-quadrilaterals-v2 7-2-angle-relationships-2ir4grl-1 7-2-inscribed-angles-workbook 7-2-inscribed-angles-workbook-key-in-color 7-2-inscribed-angles-quads-cw 7-2-inscribed-angles-quads-cw-key-in-color 7-2-inscribed-angles-practice-ws 7-2-inscribed-angles-practice-ws-key-in-color 3 1/12 Arc Length and Area of Sector 7.4 – Circumference Area Arc Length and Area of a Sector-175vcsm 7.5 – Circle Angles Arcs Circumference Area Review with notes-27n2ljk 7.5 – Circle Angles Arcs Circumference Area Review with notes – KEY – with color-1izq4df 4 1/13 Review Angle Relationships Practice Quiz in class Study for Quiz on Tuesday 1/17 5 1/17 QUIZ over Angle Relationships/Constructions/Segment Lengths Section 1-1 – Basic Constructions-ypueq7 Section 1-1 – Basic Constructions-KEY-12cveha 7.1 – Segment Lengths and Chord Properties – v2-2cflam7 7.1 – Segment Length Homework-1efy8va 7.1 – Segment Length Homework – KEY-2glj6e9 6 1/18 Practice Constructions/Chord properties involving Pythagorean Theorem 7.1 – Segment Lengths and Chord Properties – v2-2cfn4na 7.2 – Intersections of Circles and Tangent Segments & Volume – KM-1g8pccn 7.2 – Tangents and Party Hats HW-pygvga 7.2 – Tangents and Party Hats HW – KEY – in color-22ufk38 7 1/19 Review Chord Properties Scavenger Hunt No homework 8 1/20 Review Circles Circle Review 1-44 No homework 9 1/23 Volume of Prisms,  Pyramids, Cylinders and Cones 7.3 – Volume of Prisms and Pyramids v3-12rwcyr 7.3 – Volume of Prisms and Pyramids CW – KEY – in color-yedg32 10 1/24 Surface Area and Volume of Cylinders CSI Activity CSI Activity 11 1/25 Review 7.6 – Unit 7 Review v2(2)-p711ai 7.6 – Unit 7 Review v2 – KEY – in color 2015(1)-1arrvbl 7.6 – Unit 7 Review with Notes Segments and Volume(1)-132etd1 7.6 – Unit 7 Review with Notes – KEY – in color 2015(1)-2mf3i49 12 1/26 UNIT 1 Test 8.0 Midpoint Distance Pythagorean Review-19k2ruh Constructions Quiz tomorrow!

Standards:

MGSE9-12.G.C.1 Understand that all circles are similar.

MGSE9-12.G.C.2 Identify and describe relationships among inscribed angles, radii, chords, tangents, and secants. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

MGSE9-12.G.C.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

MGSE9-12.G.C.4 Construct a tangent line from a point outside a given circle to the circle.

MGSE9-12.G.C.5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

MGSE9-12.G.GMD.1 Give informal arguments for geometric formulas.

MGSE9-12.G.GMD.2 Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.

MGSE9-12.G.GMD.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

MGSE9-12.G.GMD.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.