Algebra 2 Honors Curriculum Pacing Guide 2013-2014 … 2 Honors – Curriculum Pacing ... Factoring a Sum & Difference of Cubes ... Worksheet – Perfect Squares and Cubes and Graphing

Algebra 2 Honors – Curriculum Pacing Guide – 2013-2014 First Nine Weeks

Anderson School District Five Page 1 Copyright © July 1, 2013

Unit 1 – Review of Linear and Quadratic Functions A.SSE.2 Use the structure of an expression to identify ways to rewrite it.

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

A.APR.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and

multiplication; add, subtract, and multiply polynomials. A.APR.4 Prove polynomial identities and use them to describe numerical relationships.

A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

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

A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.

A.CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. A.REI.1* Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption

that the original equation has a solution. Construct a viable argument to justify a solution method. A.REI.4* Solve quadratic equations in one variable.

A.REI.8(+) Represent a system of linear equations as a single matrix equation in a vector variable.

A.REI.9(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 3 or greater).

Unit 1 - Review of Linear and Quadratic Functions

Daily Objectives and (Instructional Notes)

Resources/Activities Textbook Reference

Day of Year

(A.REI.1, A.CED.1, A.CED.4)

Solve linear equations including

multi-step equations and inequalities with fractional

coefficients. (Be able to explain the reasoning

used to solve equations as well as

why x/2 + 7/3 = 5 has the same solutions as 3x + 14 = 30. Include

Applications. Include Literal Equations.)

Review Linear Equations

Linear Functions

1




Daily Objectives and

(Instructional Notes) Resources/Activities

Textbook

Reference

Day of

Year

(A.CED.2) Solve systems of equations in two

or more variables and use to

solve real-world problems.

Solving Multi-Step Equations

Solving Linear Functions

Worksheet – Mixed Practice on Solving Systems

Worksheet – Elimination and Substitution

Worksheet – Solve by Graphing

Systems of Two Equations

Systems of Three Equations Elimination

Systems of Three Equations Substitution

Systems of Equations Word Problems

Project – Rescue the Princess (2 files)

Lessons with Worksheets - http://alex.state.al.us/lesson_view.php?id=24046

2

(A.REI.8, A.REI.9) Find the inverse of a matrix and

use matrices to solve systems of

equations.

Ttutorial -

http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_matrix_systems.xml

3

(A.CED.3) Solve linear inequalities and use

them to solve linear programming

application problems.

Graphing Linear Inequalities

Solving Inequalities

Worksheet – Systems of Inequalities

Systems of Inequalities

Worksheet – Linear Programming (a)

Worksheet – Linear Programming (b)

Worksheet – Linear Programming (c)

4

(A.APR.1)

Write graph equations of lines,

including parallel and

perpendicular. Graph equations of lines using x|y

tables, slope intercept form, and

x-, y-intercepts. Multiply Binomials.

Worksheet – Modeling Linear Equations

Worksheet – Finding the Slope and Writing the Equation of a Line

Writing Equations of Lines

5

http://alex.state.al.us/lesson_view.php?id=24046

http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_matrix_systems.xml






Textbook

Reference

Day of

Year

(A.SSE.2) Factor quadration expressions by

taking out the GCF and using the

grouping method. Factor Quadratic Expressions of the form

ax2 + bx + c.

Factoring Quadratic Form

Factoring Quadratic Expressions

Factoring by Grouping

Factoring a Sum & Difference of Cubes

Factoring All Techniques Worksheet – Mixed Factoring Practice

6

(A.SSE.2, A.APR.4)

Factor quadratic expressions

including perfect squares, perfect

cubes, and others in quadratic form.

(Example: x4+8x2+15)

Worksheet – Perfect Squares and Cubes and Graphing

Worksheet – Factoring Trinomials

7

(REI.4, A.SSE.3)

Solve quadratic functions with

integral roots by factoring and square roots m.

(Solve quadratic equations by inspection (x2 = 49) and factoring.)

Worksheet – Solve by Factoring

Worksheet – Factoring and Solve by Factoring

Quadratic Equations by Factoring

8

(A.CED.1) Solve quadratic inequalities with

integral roots.

Notes to solve - http://www.purplemath.com/modules/ineqquad.htm

Fireworks Project with all of quadratics -

http://wveis.k12.wv.us/teach21/public/project/Guide.cfm?upid=3484&tsele1=2&tsele2=118

9

Review 10

Unit Test 11

http://www.purplemath.com/modules/ineqquad.htm





Unit 2 – Radical Functions N.RN.1* Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing

for a notation for radicals in terms of rational exponents.

N.RN.2* Rewrite expressions involving radicals and rational exponents using the properties of exponents. A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

F.IF.1* Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of

f is the graph of the equation y = f(x). F.IF.7b Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

Unit 2 – Radical Functions



Textbook

Reference Day of Year

(N.RN.1, N.RN.2)

Simplify radicals including the use

of rational exponents.

(Include roots other than square roots.)

Worksheet – Simplifying Rational Exponents

Simplify Radical Expression

More on Simplifying Radicals

Teacher Guide for Radicals

Fun with Radicals - http://pumas.jpl.nasa.gov/examples/index.php?id=81

12

(A.REI.2) Add, subtract, and multiply

radicals.

Divide radicals and rationalize the

denominator. Solve radical equations.

More on Operations with Radicals

Worksheet – Solving Radical Equations

13

(F.IF.1, F.IF.7B)

Graphing radical equations using

transformations and give the domain and range.

Worksheet – Graphing Radical Transformations

14

Review Jeopardy Review

http://pumas.jpl.nasa.gov/examples/index.php?id=81



Unit 3 – Quadratic Functions N.CN.1 Know there is a complex number i such that i2 = −1, and every complex number has the form a + bi with a and b real.

N.CN.2 Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

N.CN.7 Solve quadratic equations with real coefficients that have complex solutions.

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


A.REI.4* Solve quadratic equations in one variable.

F.IF.4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch

graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.★

F.IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of

change from a graph.★

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.★

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

Unit 3 – Quadratic Functions



Day of Year

Test (Radical Functions Unit)

15 (N.CN.1)

Define and simplify complex

numbers.

Worksheet – Complex Numbers

Properties of Complex Numbers

(N.CN.2, F.IF.4, F.IF.5, F.IF.7)

Perform operations using complex

numbers. Graph quadratic functions using

transformations; find the

maximum/minimum value of a parabolas.

Operations with Complex Numbers

Rationalizing Imaginary Denominators

16






Textbook


(A.CED.1, F.IF.4, F.IF.5, F.IF.6, F.IF.7) Graph and solve quadratics using

the graphing calculator; find the

vertex of a parabola; find the maximum/minimum value of a

parabola and apply using

modeling. (Include applications.)

Worksheet – Introduction to Quadratics

Properties of Parabolas

Worksheet – Word Problems and Solving with the Calculator

17

(A.REI.1, A.SSE.3, F.IF.8) Graph and solve quadratic

functions by completing the

square to put the equation in vertex form.

(Include complex solutions.)

Completing the Square

Worksheet – Write in Vertex Form and Graph

Worksheet – Complete the Square to Find the Vertex

Worksheet – More on Completing the Square to Find the Vertex

Worksheet – Complete the Square to Solve Quadratics

Quadratic Equations by Completing the Square

Quadratic Equations Square Roots

18

(N.CN.7, A.REI.4)

Solve quadratic functions using

the quadratic formula. (Include complex solutions.

Recognize when the quadratic formula

gives complex solutions and write them as a ± bi for real numbers and a

and b using the discriminant.)

Worksheet – Solve Using Quadratic Formula

Quadratic Formula

Activity – Lab for Nature of Roots

The Discriminant

19






Textbook


Review

Chutes and Ladders Review for Quadratics

Jeopardy Review

Golden Gate Quadratic Project

Quadratics and the Arts Project

Pictures for Quadratics Projects

Parabolic Trajectory Project

Angry Birds Project - http://www.facethemath.com/2013/03/21/angry-birds-

quadratic-functions-project/

Quadratic Function Activity

20

Unit Test 21

End of First Nine Weeks 22

http://www.facethemath.com/2013/03/21/angry-birds-quadratic-functions-project/

http://www.facethemath.com/2013/03/21/angry-birds-quadratic-functions-project/



Algebra 2 Honors – Curriculum Pacing Guide – 2013-2014 Second Nine Weeks


Unit 4 – Polynomial Functions N.CN.8(+) Extend polynomial identities to the complex numbers.

N.CN.9(+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

A.SSE.1* Interpret expressions that represent a quantity in terms of its context.★

A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.1b Interpret complicated expressions by viewing one or more of their parts as a single entity. A.APR.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and

multiplication; add, subtract, and multiply polynomials.

A.APR.2 Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if

(x – a) is a factor of p(x). A.APR.3 Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the

polynomial. 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.★

F.IF.7c Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

Unit 4 – Polynomial Functions



Textbook

Reference

Day of

Year

(A.SSE.1, A.SSE.1a, A.SSE.1b, A.APR.1)

Identify parts of a polynomial

expression and perform

operations on polynomials; including add, subtract, multiply.

(Include applications.)

Polynomial Basics

Idea for Picture Polynomial Project -

http://precalculus.pbworks.com/w/page/18229394/Polynomial%20Functions Directions for polynomial Picture Project

23

Divide polynomials using long division

and synthetic division.

Activity from Teachers Pay Teachers -

http://www.teacherspayteachers.com/Product/Division-Race-Long-division-and-synthetic-

division-of-Polynomials-600990

24

http://precalculus.pbworks.com/w/page/18229394/Polynomial%20Functions

http://www.teacherspayteachers.com/Product/Division-Race-Long-division-and-synthetic-division-of-Polynomials-600990

http://www.teacherspayteachers.com/Product/Division-Race-Long-division-and-synthetic-division-of-Polynomials-600990



Unit 4 – Polynomial Functions



Textbook

Reference

Day of

Year

(A.APR.3, F.IF.7, F.IF.7c) Describe continuity of polynomial

functions; describe end behavior;

sketch polynomials and determine the domain and range.

Use Remainder Theorem or

synthetic division to determine

the zeros of a polynomial function when given a set of possible

zeros. (Solve polynomial functions by

factoring and explain the relationship

between solutions and x-intercepts.)

Graphing Polynomial Functions Basic Shape

Graphing Polynomial Functions

Birthday Polynomial Project

25

(A.APR.2)

Use the Remainder Theorem to

find the remainder and to determine whether a value is a

zero of the polynomial.

Solve for other zeros after

checking given values and finding one solution.

The Remainder Theorem

Rational Root Theorem

More on Factors, Zeros, and Dividing

Irrational and Imaginary Root Theorems

Descartes Rule of Signs

Analyzing and Solving Polynomial Equations

Worksheet – Rational Root Theorem (A) to Solve

Worksheet – Rational Root Theorem (B) to Solve

Worksheet – Last Practice Rational Root Theorem to Find All Roots

26

(A.APR.2, N.CN.8+, N.CN.9+)

Find all zeros of a polynomial

function, including complex zeros including rational roots theorem.

Write and solve a polynomial

function that models a given problem situation.

(Using the Fundamental Theorem of

Algebra.)

Polynomial Function Activity

Calculator Activites - http://education.ti.com/en/us/activity/detail?id=384FB053735B4C86BBF76AA6E018891C

Discover the Roots - http://alex.state.al.us/lesson_view.php?id=27664

27

Review 28

Unit Test 29

http://education.ti.com/en/us/activity/detail?id=384FB053735B4C86BBF76AA6E018891C




Unit 5 – Rational Equations A.APR.6 Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials

with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.

A.APR.7(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.


A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.

Unit 5 – Rational Equations



Day of Year

(A.APR.6)

Graph rational functions using

the transformations of the parent function (1/x) and determine the

domain, range, intercepts, asymptotes, and discontinuities.

(Include factoring to reduce.)

Analyzing the Behavior of Rational Functions

Graphing Rational Functions -

http://education.ti.com/en/us/activity/detail?id=208097E06E214A0AA651CB7BF559C29A

Rational Function Project -

http://www.eacs.k12.in.us/UserFiles/Servers/Server_3123024/File/Academics/Curriculum/Math-Secondary/a2b5%20Rational_Functions_Project.pdf

Scream for Ice Cream Rational Function Project - http://wveis.k12.wv.us/teach21/public/project/Guide.cfm?upid=3609&tsele1=2&tsele2=12

2

Explore Graphs Project - http://web.mph.net/academic/math/dmeehan/Worksheets/pre-

calculus/Rational%20Functions%20Project.htm

30

(A.APR.7+)

Multiply and divide rational

functions.

Worksheet – Multiply and Divide Rational Expressions

31

(A.APR.7+) Add and subtract rational

functions.

Worksheet – Review of Operations

Worksheet – More on Adding and Subtracting

Worksheet – Add and Subtract with Like Denominators

Mixed Review of Operations

32

http://education.ti.com/en/us/activity/detail?id=208097E06E214A0AA651CB7BF559C29A





http://web.mph.net/academic/math/dmeehan/Worksheets/pre-calculus/Rational%20Functions%20Project.htm

http://web.mph.net/academic/math/dmeehan/Worksheets/pre-calculus/Rational%20Functions%20Project.htm



Unit 5 – Rational Equations



Textbook

Reference

Day of

Year

(A.REI.2) Graph and solve rational

functions algebraically and

graphically.

Worksheet – Graphing Rationals (a)

Worksheet – Graphing Rationals (b)

Worksheet – Graphing Rationals (c)

Worksheet – Solving Rational Exp

Worksheet – More on Solving Rational Exp

33

(A.REI.2, A.CED.1)

Solve rational inequalities. Rational Function Project -

http://www.eacs.k12.in.us/UserFiles/Servers/Server_3123024/File/Academics/Curriculum/

Math-Secondary/a2b5%20Rational_Functions_Project.pdf ()

34

Review 35

Unit Test 36





Unit 6 – Relations and Functions A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

A.REI.11 Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) =

g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include

cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.★

F.IF.1* Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one

element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

F.IF.2* Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

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.★

F.IF.7b Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). F.BF.1b Combine standard function types using arithmetic operations.

F.BF.1c(+) Compose functions.

F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

F.BF.4a Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse.

F.BF.4b(+) Verify by composition that one function is the inverse of another. F.BF.4c(+) Read values of an inverse function from a graph or a table, given that the function has an inverse.

Unit 6 – Relations and Functions

Daily Objectives and (Instructional

Notes) Resources/Activities

Textbook

Reference

Day of

Year

(F.IF.1, F.IF.2, F.BF.1b)

Determine if a relation is a function

and state its domain and range.

Determine if the function is linear and

whether onto or one-to-one. Using function notation.

Operations with functions.

Operations with Linear Functions

Function Operations

Function Lesson - http://www.thinkport.org/Tools/ContentViewer/ContentPreview.aspx?contentid=b0553

e4d-6407-4c30-82e8-dda3fc3ddba1

Conjunction Junction, What’s your function Activity - http://www.missmathdork.com/2013/06/conjunction-junction-whats-your-function.html

37

(A.REI.11, F.IF.9) Solve and compare functions.

Functions and Everyday Situations -

http://map.mathshell.org/materials/lessons.php?taskid=430#task430

38

http://www.thinkport.org/Tools/ContentViewer/ContentPreview.aspx?contentid=b0553e4d-6407-4c30-82e8-dda3fc3ddba1

http://www.thinkport.org/Tools/ContentViewer/ContentPreview.aspx?contentid=b0553e4d-6407-4c30-82e8-dda3fc3ddba1

http://www.missmathdork.com/2013/06/conjunction-junction-whats-your-function.html

http://www.missmathdork.com/2013/06/conjunction-junction-whats-your-function.html

http://map.mathshell.org/materials/lessons.php?taskid=430#task430



Unit 6 – Relations and Functions



Textbook

Reference

Day of

Year

(F.BF.3) Graphing functions using

transformations.

Interactive computer - http://www.mathsisfun.com/sets/function-

transformations.html

Toothpicks and transformations

Function ideas from Pinterest - https://pinterest.com/lehulbert/algebra-ii-

transformations-domain-range-absolute-v/

Exploring Function Transformations -http://teachers.net/lessons/posts/4590.html

Transformation Discovery Sheet

39

(F.IF.7, F.IF.7b)

Graph absolute value functions,

piecewise functions, and step functions.

Worksheet – Graphing Piecewise Functions

Graphing Absolute Value Equations

Solving Absolute Value Equations

Worksheet – Graphing & Solving Absolute Value Equations

40

(A.CED.2)

Solving systems of equations

involving linear and nonlinear equations.

41

(F.BF.1c, F.BF.4a, F.BF.4b, F.BF.4c)

Composition of functions and inverse

functions.

Compositions & Inverses

Function Inverses

Discovery Lesson - http://betterlesson.com/lesson/299897/exploration-of-

composition-of-functions-and-inverse-functions

A Backwards Approach - http://coremath912.blogspot.com/2012/08/my-backwards-

approach-to-inverse.html

Cartoons to teach inverse - http://msbakermath.blogspot.com/2012/10/math-

cartoons.html

42

Review 43

Unit Test 44

Midterm Exam 45

http://www.mathsisfun.com/sets/function-transformations.html

http://www.mathsisfun.com/sets/function-transformations.html

https://pinterest.com/lehulbert/algebra-ii-transformations-domain-range-absolute-v/

https://pinterest.com/lehulbert/algebra-ii-transformations-domain-range-absolute-v/

http://teachers.net/lessons/posts/4590.html

http://betterlesson.com/lesson/299897/exploration-of-composition-of-functions-and-inverse-functions

http://betterlesson.com/lesson/299897/exploration-of-composition-of-functions-and-inverse-functions

http://coremath912.blogspot.com/2012/08/my-backwards-approach-to-inverse.html

http://coremath912.blogspot.com/2012/08/my-backwards-approach-to-inverse.html

http://msbakermath.blogspot.com/2012/10/math-cartoons.html

http://msbakermath.blogspot.com/2012/10/math-cartoons.html

Algebra 2 Honors – Curriculum Pacing Guide – 2013-2014 Third Nine Weeks


Unit 7 – Exponential and Logarithmic Functions A.SSE.2 Use the structure of an expression to identify ways to rewrite it.

A.SSE.3c* Use the properties of exponents to transform expressions for exponential functions. A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and

simple rational and exponential functions. F.LE.4 For exponential models, express as a logarithm the solution to a bct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the

logarithm using technology.

Unit 7 – Exponential and Logarithmic Functions



Day of Year

(A.SSE.3c)

Law of Exponents

(include rational exponents)

Worksheet – Properties of Exponents

Worksheet – Simplifying Rational Exponents

Exponent Jeopardy Game - http://www.math-play.com/Exponents-

Jeopardy/Exponents-Jeopardy.html

Laws of Exponents Game - http://www.superteachertools.com/jeopardy/usergames/Nov201044/game1288705963

.php

Exponent Asteroid Game -

http://www.mathdork.com/games/asteroidsexp3/asteroidsexp3.html

46

(A.SSE.2, A.CED.1)

Graph exponential functions by

analyzing intercepts and end behavior and determine

characteristics such as domain and range, intercepts and asymptotes.

Solve exponential equations with like

bases algebraically and graphically using a graphing calculator.

Worksheet – Exponential Graphs

Worksheet – Exponential Equations with Like Bases

47

(A.SSE.2, A.CED.1)

Applications of exponential functions. Exponential Growth Activity - http://illuminations.nctm.org/LessonDetail.aspx?id=L713

Exploring Exponential Functions

48

http://www.math-play.com/Exponents-Jeopardy/Exponents-Jeopardy.html

http://www.math-play.com/Exponents-Jeopardy/Exponents-Jeopardy.html

http://www.superteachertools.com/jeopardy/usergames/Nov201044/game1288705963.php

http://www.superteachertools.com/jeopardy/usergames/Nov201044/game1288705963.php

http://www.mathdork.com/games/asteroidsexp3/asteroidsexp3.html

http://illuminations.nctm.org/LessonDetail.aspx?id=L713



Unit 7 – Exponential and Logarithmic Functions



Textbook

Reference

Day of

Year

(F.LE.4) Graph logarithmic functions by

analyzing intercepts and end

behavior and determine characteristics including domain,

range, intercepts, and asymptotes.

Evaluate logarithmic functions.

Use properties of logarithms.

Worksheet – Intro to Logs

Worksheet – Practice with Log Properties and Solving Log Equations

Exponential and Logarithmic Project from Clemson

Logarithms & Exponents Project

49

(F.LE.4)

Use properties of logarithms.

Review – 1st Half Through Log Properties

Worksheet – Basic Log Equations with No Calculator

Worksheet – Logs Worksheet

Worksheet – More on Logs

50

(F.LE.4)

Solve exponential and logarithmic

equations by using the laws of exponents and the laws of logarithms

both algebraically and graphically.

Review – Log Equations and Exponential Equations using Logs

Worksheet – Exponential Equations with Unlike Bases

51

Applications of exponential and

logarithmic functions.

Worksheet – Compound Interest and Exponential Functions

Worksheet – Growth & Decay – Solve for New Variable

Activity – Shedding Light on the Subject

Activity – Spreading Rumors

Worksheet – Word Problems Finding Other Variables

Worksheet – More Word Problems

52

Review Jeopardy Review

Station Rotation Quiz on Logarithms

53

Unit Test 54



Unit 8 – Sequences and Series A.SSE.4 Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.★

F.IF.2* Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

F.IF.3* Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

F.BF.2 Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two

forms.★

Unit 8 – Sequences and Series



Textbook


(F.IF.2, F.IF.3) Recognize, write, and find the nth

term of arithmetic sequences.

Introduction to Sequences

Arithmetic Sequence

Sequences and Series Reality Project

Sequences & Series Art Project

55

Find the partial sum of an arithmetic

series.

Arithmetic Series

Worksheet – Arithmetic Sequences and Series

56

(A.SSE.4, F.BF.2)

Recognize, write, and find the nth

term of geometric sequences. Find partial sums of geometric

sequences.

Review of Arithmetic and Geometric

Arithmetic and Geometric Means

Geometric Sequences

57

Use sigma notation to represent

arithmetic and geometric series. Find the sum of an infinite geometric

series.

Finite Geometric Series

Infinite Geometric Series

58

Review 59

Unit Test 60



Unit 9 – Trigonometric Functions F.IF.7e Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and

amplitude.

F.TF.1 Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle. F.TF.2 Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian

measures of angles traversed counterclockwise around the unit circle.

F.TF.5 Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.★

F.TF.8 Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1 and use it find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant.

Unit 9 – Trigonometric Functions



Day of Year

(F.TF.1, F.TF.2)

Describe angles.

Use radian measure.

Convert between degrees and

radians. Begin Unit Circle.

Unit Circle Diagram

The Unit Circle Lesson

Activities on the Unit Circle - http://designatedderiver.wikispaces.com/Unit+Circle

61

(F.TF.2)

Evaluate trigonometric functions

using the unit circle. Use a calculator to evaluate

trigonometric functions.

Basic Trig Card Quiz

Follow the Rabbit - http://mathercize.blogspot.com/2007/09/unit-circle-trigonometry-

follow-white.html Unit Circle Activities

Online Flash Cards - http://quizlet.com/663955/the-unit-circle-flash-cards/

62

(F.IF.7e, F.TF.5) Sketch the graphs of sine and cosine.

Use amplitude and period to sketch

the graphs of sine and cosine.

Sketch translations of sine and

cosine. Determine the domain, range,

intercepts, and asymptotes of each

graph.

Solve trigonometric equations

graphically.

Spaghetti Sine Graph Activity

http://www.regentsprep.org/Regents/math/algtrig/ATT7/indexATT7.htm (Trig Graph

Activities) http://illuminations.nctm.org/ActivityDetail.aspx?ID=174 (Explore Trig Graphs)

Activities to explore trig graphs

Triangulating with Trig

http://room289math.wordpress.com/2013/03/18/trig-scavenger-hunt/ (Trig Scavenger

Hunt)

http://jwilson.coe.uga.edu/EMAT6680Fa07/O'Kelley/Assignment%201/Transformations.

html (Explore sine and Cosine Graphs)

63

http://designatedderiver.wikispaces.com/Unit+Circle

http://mathercize.blogspot.com/2007/09/unit-circle-trigonometry-follow-white.html

http://mathercize.blogspot.com/2007/09/unit-circle-trigonometry-follow-white.html

http://quizlet.com/663955/the-unit-circle-flash-cards/

http://www.regentsprep.org/Regents/math/algtrig/ATT7/indexATT7.htm

http://illuminations.nctm.org/ActivityDetail.aspx?ID=174

http://room289math.wordpress.com/2013/03/18/trig-scavenger-hunt/

http://jwilson.coe.uga.edu/EMAT6680Fa07/O'Kelley/Assignment%201/Transformations.html

http://jwilson.coe.uga.edu/EMAT6680Fa07/O'Kelley/Assignment%201/Transformations.html



Unit 9 – Trigonometric Functions



Textbook

Reference

Day of

Year

(F.IF.7e, F.TF.5) Sketch the graphs of tangent,

cotangent, secant, and cosecant

functions. Determine the domain, range,

intercepts, and asymptotes of each

graph.

Solve trigonometric equations

graphically.

64

Evaluate and graph inverse


http://www.regentsprep.org/Regents/math/algtrig/ATT8/indexATT8.htm (Inverse Trig)

65

(F.TF.5, F.TF.8) Model periodic phenomena with


Identify, write, and use trigonometric

identities.

Lesson on Modeling -

http://www.classzone.com/eservices/home/pdf/student/LA214EAD.pdf Trig Functions to Model Daylight

Modeling with Trig Functions -

http://www.regentsprep.org/Regents/math/algtrig/ATT7/graphpractice3.htm

66

Review 67

Unit Test 68

End of Third Nine Weeks 69

http://www.regentsprep.org/Regents/math/algtrig/ATT8/indexATT8.htm

http://www.classzone.com/eservices/home/pdf/student/LA214EAD.pdf

http://www.regentsprep.org/Regents/math/algtrig/ATT7/graphpractice3.htm



Algebra 2 Honors – Curriculum Pacing Guide – 2013-2014 Fourth Nine Weeks


Unit 10 - Statistics S.ID.2* Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation)

of two or more different data sets.

S.ID.4 Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.

S.IC.3 Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.

S.IC.4 Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.

S.IC.5 Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.

S.IC.6 Evaluate reports based on data.

Unit 10 - Statistics



Textbook

Reference

Day of

Year

Represent data using stem-and-leaf

diagrams, frequency distributions, and histograms.

Find and interpret measures of

central tendency in a set of data.

http://www.shodor.org/interactivate/lessons/StemAndLeafPlots/ (Stem & Leaf

Activitiy) Breakfast Cereal Activity

http://mathinscience.info/teach/teach_projects/nsf_scholars/skunk/skunk.pdf (Stem

& Leaf Activity)

70

(S.ID.2)

Find the measures of central

tendency for grouped data.

Find measures of dispersion

including range, IQR, and outliers. Represent data using boxplots.

Name Game Central Tendency - http://alex.state.al.us/lesson_view.php?id=23961

Active Measures of Central Tendency

Explore Central Tendency - http://www.teachbuzz.com/lessons/measures-central-

tendency

Human Box and Whisker - http://www.learnnc.org/lp/pages/3767

71

(S.ID.4) Calculate variance and standard

deviation of a set of data.

Hair Measuring Activity for Standard Deviation

72

http://www.shodor.org/interactivate/lessons/StemAndLeafPlots/

http://mathinscience.info/teach/teach_projects/nsf_scholars/skunk/skunk.pdf


http://www.teachbuzz.com/lessons/measures-central-tendency

http://www.teachbuzz.com/lessons/measures-central-tendency

http://www.learnnc.org/lp/pages/3767



Unit 10 - Statistics



Textbook

Reference

Day of

Year

(S.ID.4, S.IC.3, S.IC.4, S.IC.5, S.IC.6) Use a normal distribution to describe

the spread of the data.

Use sample or survey data to create

an estimate of a population mean or proportion using a confidence

interval and use the confidence

interval to analyze the data.

Activities for Normal Dist 73

Review 74

Unit Test 75



Unit 11 – Bivariate Data S.ID.6c* Fit a linear function for a scatter plot that suggests a linear association.

S.ID.8 Compute (using technology) and interpret the correlation coefficient of a linear fit.

S.IC.1 Understand statistics as a process for making inferences to be made about population parameters based on a random sample from that population.

Unit 11 – Bivariate Data



Textbook


(S.ID.6c)

Use a scatter plot to represent

bivariate data.

Represent bivariate data using a

least squares regression line.

76

(S.ID.8) Find and use a correlation

coefficient.

77

(S.IC.1) Use regression functions to model

non-linear functions.

78

Modeling

Review

Activity – Growing by Leaps and Bounds

Worksheet – More on Nonlinear Modeling Problems

Worksheet (a) – Modeling Nonlinear

Worksheet – Nonlinear Modeling Using the Calculator

79

Unit Test 80



Unit 12 – Probability and the Binomial Theorem A.APR.5(+) Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers,

with coefficients determined for example by Pascal’s Triangle.

S.IC.2 Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. 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.

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. S.CP.8(+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the

model. S.CP.9* Use permutations and combinations to compute probabilities of compound events and solve problems.

S.MD.6(+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).

S.MD.7(+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).

Unit 12 – Probability and the Binomial Theorem



Textbook


(S.CP.9) Find the sample space and use the

counting principle to find the number

of outcomes. Permutations and combinations.

Finding simple theoretical and

empirical probability.

80

(S.CP.6) Find the conditional probability of

two events and discuss

independence.

81

(S.CP.7, S.CP.8, S.CP.9)

Apply the Addition Rule to find the

probability of A or B. Apply the Multiplication Rule to find

the probability of A and B.

Use the Addition Rule and the

Multiplication Rule to solve problems.

82



Unit 12 – Probability and the Binomial Theorem



Textbook


(S.IC.2) Simulation probabilities.

83

(S.MD.6, S.MD.7)

Using probabilities to make decisions.

84

(A.APR.5)

Binomial Expansion.

85

Review 86

Unit Test 87

Adjustment/Exam Review 88-89

End of Course Exam 90



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Algebra 2 Honors Curriculum Pacing Guide 2013-2014 … 2 Honors – Curriculum Pacing ... Factoring a Sum & Difference of Cubes ... Worksheet – Perfect Squares and Cubes and Graphing