# Assignment 11 Synthetic Division Quizlet Flashcards

****LINK TO MY QUIZLET SITE - COMPLETE WITH ALL SETS INCLUDING ACT REVIEW!!!****

Each Monday, class period will begin with a timed ACT quiz. One or two problems from that quiz will be included on the weekly test.

*For 3 weeks we will have a change of structure in the class. We be doing an individualized intense ACT PREP involving pinpointing topics and skills that we need to learn, relearn or practice. Each student will be responsible for choosing and completing at least three mini lessons covering three different skills that they feel they need to review for the ACT.*

*The ACT math section is divided into the following three subscores: Pre-Algebra/Elementary Algebra, Intermediate Algebra/Coordinate Geometry, Plane Geometry/Trigonometry. We will spend one week on each of these. *

*Each Friday, the test will be comprised of ACT type problems (covering the skills in the strand) and Quizlet vocabulary and formulas.*

*Please see below for the weekly structure.*

**Week of March 12th - Plane Geometry/Trig ACT PREP**

Quizlet - Plane Geometry/Trig

Monday - Topic Inventory Test oon Plane Geometry/Trig

Tuesday - ACT Prep/Coding Day

Wednesday - Thursday - Independent Study of at least three topics

Friday - Test covering all Plane Geometry/Trig topics

**Week of March 5th - Intermediate Algebra/Coordinate Geometry ACT PREP**

Quizlet - Intermediate Algebra/Coordinate Geometry

Answers p. 358

Answers p. 359-360

Answers p. 361-362

Answers p. 365-366

Answers p. 367-368

Answers p. 369-370

Answers p. 371-372

Monday - Topic Inventory Pre-test on Intermediate Algebra/Coordinate Geometry Skills to determine weak areas

Tuesday -Wednesday - Individualized/Independent Study of at least 3 topics

Thursday - Test covering all ACT Intermediate Algebra/Coordinate Geometry Topics

**Week of February 26th - Pre-Algebra/Elementary Algebra ACT PREP**

Quizlet - ACT - Pre-Algebra and Elementary Algebra

Answers p. 332-333

Answers p. 334-335

Answers p. 336-337

Answers p. 338-339

Answers p. 340-341

Answers p. 342-343

Answers p. 343-346

Answers p. 347-348

Answers p. 349-350

Monday - Topic Inventory Pre-test on Pre-Algebra and Elementary Algebra Skills to determine weak areas

Tuesday - Thursday - Individualized/Independent Study of at least 3 topics

Friday - Test covering all ACT Pre-Algebra and Elementary Algebra Topics

**Week of February 19th**

Objective: 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.APR.D.7]**

Assignment: Worksheets 12-1, 12-2, 12-3

Answers - Simplifying (12-1)

Answers - Multiplying (12-2)

Answers - Dividing (12-3)

Video - Simplifying Rational Expressions

Video - Multiplying and Dividing Rational Expressions

Monday - Tuesday - Lesson on Simplifying, Multiplying and Dividing Rational Expressions

Wednesday - Sub

Thursday - Review for test

Friday - Test

**Week of February 5th**

Objective: For exponential models, express as a logarithm the solution to *ab ^{ct}* =

*d*where

*a*,

*c*, and

*d*are numbers and the base

*b*is 2, 10, or

*e*; evaluate the logarithm using technology.

**[F.LE.A.4]**Summarize, represent, and interpret data on two categorical and quantitative variables. Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. Fit a function to the data; use functions fitted to data to solve problems in the context of the data.

*Use given functions or choose a function suggested by the context. Emphasize exponential models.*

**[****S****‐****ID.B.6]**Assignment: Section 6.6 #5-20 all, 33-40 all

Answers - Sec 6.6 #33-40 all

Monday - Lesson: Solving More Difficult Logarithmic Equations HW: Sec 6.6 #33-40 all

Tuesday -Lesson: Solving Exponential Equations HW: Sec 6.6 #5-20 all

Wednesday - Lesson: Modeling with Exponential Data

Thursday - Lesson on Finite Differences and Exponential Regression (handout on Calculating Regressions on the TI-84)

Friday - Test

**Week of January 29th**

Objective: For exponential models, express as a logarithm the solution to *ab ^{ct}* =

*d*where

*a*,

*c*, and

*d*are numbers and the base

*b*is 2, 10, or

*e*; evaluate the logarithm using technology.

**[F.LE.A.4]**

Quizlet - Logarithms

Video - Log Basics

Video - Solving Logarithmic Equations using the One to One Property

Assignment - Worksheet

Answers - Section 6.5

Answers - Sections 6.3 and 6.5

Even Answers from Sec 6.3-6.6 - if you want extra practice

Monday - ACT mini quiz 4; "What Power" Function lesson; Introduction to logs

Tuesday - Lesson on evaluating logs and rewriting log and exponential forms

Wednesday - Lesson on Solving Simple Logarithmic Equations

Thursday - Cooperative Learning Activity test review

Friday - Test Review

**Week of January 22nd**

**Quizlet - Exponential Functions**

Video - Graphing Exponential Function BASICS

Video - Graphing Exponential Growth and Decay

Video - Transformations of Exponential Functions

Assignment -pp. 300-302 #3-59 odds (omit #25); Section 6.2 #3-11 odds, 23-26 all, 35, 42

Answers to pp. 300-302

Answers to Section 6.2

Monday- Continue lesson- review graphing exponential growth and decay functions; lesson on compound interest formula

Tuesday- Lesson on simplifying expressions with "e" and Interest compounded continuously formula

Wednesday - Lesson on transformations of exponential functions

Thursday - Cooperative Learning Activity/ Test Review

Friday - Test on Exponential Functions

**Week of January 16th - EXPONENTIAL FUNCTIONS**

Quizlet - Exponential Functions

Assignment -Textbook pp. 300-301 #3-8, 9, 13, 17, 37-44; pp. 307 #3-12 (you can access the online textbook at the top of the page)

Tuesday- ACT mini Test; Quizlet/Vocabulary; Lesson on Exponential Growth and Decay

Wednesday- Lesson on the Compound interest Formula

Thursday -* Cooperative Learning Activity; Test Review*

Friday - Test

**Week of January 8th - RATIONAL EXPONENTS**

Quizlet - Radicals and Exponents

Video - Simplifying Rational Exponents

Video - Simplifying nth roots

Video - Solving Equations with Rational Exponents (Method 1)

Video - Solving Equations with Rational Exponents (Method 2)

Assignment: Worksheet on Simplifying with Rational Exponents

Assignment Answers

Assignment Answers to textbook problems

Monday - ACT Mini Test (two questions will be included on Friday's test); Lesson on Rational Exonent Rules

Tuesday - Lesson on Solving Equations with Rational Exponents

Wednesday - Continue working in class on Assignment

Thursday - Cooperative Learning Activity, Review for test

Friday - Test on Rational Exponents

**Week of January 3rd - RATIONAL EXPONENTS**

Quizlet - Exponents

Assignment - Rational Exponents Practice Worksheet (Work only Problem Set #1-16)

Answers to Assignment Worksheet

Video - Rational Exponents

Another Video - Rational Exponents

Wednesday- Introduction to Rational Exponents

Thursday - Continued lesson on Rational Exponents

Friday - NO TEST

**Week of December 11th - EXAM REVIEW**

**Week of December 4th - OPERATIONS WITH RADICALS**

*** This week's material (Operations with Radicals) will only be included on the Semester Exam. In place of the weekly test, we will have a Vocabulary Test on all of the first semester's vocabulary. The Quizlet for the vocabulary is found below.

## *****Quizlet - Semester Vocabulary*****

*Exam Review w/ answers at the bottom*

*EXAM REVIEW WORKED-OUT SOLUTIONS:*

Answers #1-3

Answers #4-12

Answers #12 cont'd

Answers #13-15

Answers #16-23

Answers #24-28

Answers #29-33

Answers #34-37

Answers #38-43

Answers #43-50

Answers #51-53

Answers #54-56

Answers #57-59

Answers #60-63

Answers #64-65

Answers #67-68

Answers #69-71

Answers #72-73

Answers #77-78

Answers #79-85

Answers #79-88

Answers #90-96

Answers #97-106

Answers #107-118

Answers #119-125

Monday - ACT prep 10 problem quiz - Lesson on Simplifying Radical Expressions

Tuesday - Exam Review #1-19

Wednesday - Exam Review #20-37

Thursday - Exam Review #38-61; Review for Vocabulary Test

Friday - Test on the first Semester's Vocabulary

**Week of November 27th - GRAPHING RADICAL FUNCTIONS**

Video - Transformations of the Square Root Function

Video - Transformations of the Cube Root Function

Assignment: p. 256 #3-14, 19-22, 27-50

Link to Section 5.3 w/ p. 256

Answers to p. 256 problems

Worksheet - Radical Functions Local and Global Characteristics

Objective: Graph square root and cube root functions **[F-IF.C.7.b]**

Monday- Lesson on Graphing parent square root and cube root functions

Tuesday- Lesson on Graphing transformations of square root and cube root functions

Wednesday - Continue work on Assignment

Thursday - Cooperative Learning Activity to Review for Test

Friday - Test

**Week of November 13th - SOLVING RADICAL EQUATIONS**

There will be no bell ringers on the test this week.

Quizlet - Solving Radical Equations

Video - Solving Radical Equations

Video 2- Solving Radical Equations

Video - Transformations of the Square Root Function

Video - Transformations of the Cubed Root Function

Assignment: – Sec 5.4 p. 266 #3-26 all, and #35

Link to Section 5.4 and Assignment Problems

Answers to p. 266

Objective: Solve simple radical equations in one variable, and give examples showing how extraneous solutions may arise.** [A.REI.A2] **Graph square root and cube root functions. **[F.IF-C.7.c]**

Monday - Substitute - Independent Lesson on Solving Radical Equations

Tuesday - Lesson on Solving Radical Equations

Wednesday- Lesson on Graphing Square root and Cubed Root Parent Functions and their Transformations

Thursday - Cooperative Learning Activity

Friday - Test

**Week of November 6th - PASCAL'S TRIANGLE, THE RATIONAL ROOT THEOREM AND UNFACTORABLE POLYNOMIALS**

Week 13 Bell Ringers

Quizlet - Pascal's Triangle - All other vocabulary for the week comes from last week's Quizlet

Video - Pascal's Triangle

Video - Pascal's Triangle (a harder example)

Video - Using the Rational Root Theorem

Video - The Fundamental Theorem of Algebra

Assignment: p. 171 #43-48, p. 172 #56, 63, 66-69; p. 194-195 #21-25, 29, 33, 37, 39, 41; p. 202 #13-16

Answers to Pascal's Triangle (pp. 171-172)

Answers to pp. 171, 194, and 202

Worked out Solution to #13

#13 Part 2

Worked out Solution to #14

Worked out Solution to #15

Objective: Know the Fundamental Theorem of Algebra **[N-CN.C.9]**;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 **[A-APR.C.5]**

Monday - Lesson on Pascal's Triangle

Tuesday - Lesson on Rational Root Theorem

Wednesday - Putting it all Together

Thursday - Cooperative Learning Activity reviewing all of Polynomials

Friday - Test

**Week of October 30th - POLYNOMIAL DIVISION**

Quizlet - Dividing Polynomials

Video - Dividing Polynomials

Video - The Remainder Theorem

Assignment - Worksheet on Dividiing Polynomials and the Remainder Theorem

Answers to Worksheet

Worksheet on The Remainder Theorem (with answers)

Objective: 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.B.2]**

Monday - Enter Quizlet terms into Appendix, Lesson on Dividing Polynomials

Tuesday - Lesson on the Remainder Theorem

Wednesday - Continued lesson on the Remainder Theorem

Thursday - Cooperative Learning Activity

Friday - Test

**Week of October 23rd- INEQUALITIES**

Week 11 Bell Ringers

Quizlet - Inequalities

Video - Solving Linear Inequalities

Video - Solving Quadratic Inequalities

Video - Graphing Quadratic Inequalities of Two Variables

Video - Systems of Quadratic Inequalities

Assignment: Worksheet on Solving Inequalities in One Variable

Answers #1-13 Answers # 14-23 Answers #24-26

Worksheet on Solving Inequalities in Two Variables

Answers to Solving Inequalities in Two Variables

Answers cont'd

Objective: Represent and solve equations and inequalities graphically.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. **[A-REI.D.11]**

Monday - Lesson on Solving Inequalities in one variable

Tuesday - Lesson on Solving Inequalities in two variables

Wednesday - Lesson on Soving Systems of Inequalities

Thursday - Cooperative Learning Activity

Friday - Test

**Week of October 16th - GRAPHING FACTORABLE POLYNOMIALS AND THE SUM OF SQUARES**

Week 10 Bell Ringers

Quizlet - Graphing Polynomials

Video - Graphing Factored Polynomials Functions

Assignment: Additional Topic - Factoring Polynomials with Complex Conjugates

Additional Topic Answers

Graphs of Polynomials

Graphs of Polynomials Worksheet Answers

Objectives: 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. **[A-APR.C.4] **Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x – 2i). **[N-CN.C.8] ** Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. **[F-IF.C.7c]**

Monday- Lesson on Factoring the Sum of Squares with Complex Conjugates

Tuesday- Lesson on Graphing Factorable Polynomials

Wednesday - Cooperative Learning Activity

Thursday - Work in class on Assignment

Friday - Test on Graphs of Factorable Polynomials and their Characteristics, Assignment due

**Week of October 9th - REVIEW**

Monday- Continue working on Nonlinear Systems of Equations Worksheets 1b and 5b

Tuesday-Wednesday- Review all first nine weeks tests

Thursday - Cumulative test on all first nine weeks material (In addition to counting as 100 points, this test grade will also replace the lowest test grade of the nine weeks.), Nonlinear systems worksheets due

**Week of October 2nd - NONLINEAR SYSTEMS OF EQUATIONS**

***Quizlet - First Nine Weeks Flashcards Study Set

Quizlet - Graphing Quadratics and Nonlinear Systems of Equations

Video - Graphing Quadratics Basics

Video - Graphing Quadratics - Vertex and x-intercepts

Video - Graphing Quadratics - x and y-intercepts

Video - Graphing Circles

Video - Solving Quadratic and Linear Systems Graphically

Video - Solving Quadratic and Linear Systems Algebraically

Video - Solving Systems of Lines and Circles Graphically

Video - Solving Systems of Lines and Circles Algebraically

Assignment: Quadratic-Linear Systems Worksheet with answers 1b

Circle-Linear Systems Worksheet with answers 5b

Objectives: Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x²+ y²= 3 **[A-REI.C.7]**

Monday - Lesson on Graphing Quadratics and Quadratic-Linear Systems

Tuesday- Lesson on Graphing Circles and Quadratic(circle)-Linear Systems

Wednesday - Continue Lesson on Quadratic - Linear Systems

Thursday - Test (100 points) on First Nine Weeks Flashcards (link found above)

Friday- NO SCHOOL Parish Fair Day

**Week of September 25th - SOLVING QUADRATICS**

Week 7 Bell Ringers

Quizlet - Solving Quadratics

Video - Solving Quadratics using Factoring

Video - Solving Quadratics by Taking Square Roots

Video - Solving Quadratics by Completing the Square

Video - Solving Quadratics using the Quadratic Formula

Assignment: pp. 127-128 #5-18, 33-34, 47-57 odds, 59-60 (click here for answers)

Objectives: Solve quadratic equations by inspection (e.g., for x²= 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a± bi for real numbers a and b. **[A-REI-B.4b] **Solve quadratic equations with real coefficients that have complex solutions ** [N-CN.C.7]**

Monday - Lesson on Solving Quadratics using the Quadratic Formula; Assignment Pacing: pp. 127-130 #5-18

Tuesday - Lesson on Verifying Solutions to Quadratic Equations using a graphing calculator; Assignment Pacing pp. 127-130 #33-34, 47-57 odds, 59-60

Wednesday - Cooperative Learning Activity reviewing all methods of solving quadratic equations

Thursday- Review Assignment problems

Friday - Test on Solving Quadratic Equations

**Week of September 18th - SOLVING QUADRATICS**

Week 6 Bell Ringers

Quizlet - Solving Quadratics

Video - Solving Quadratics using Factoring

Video - Solving Quadratics by Taking Square Roots

Video - Solving Quadratics by Completing the Square

Video - Solving Quadratics using the Quadratic Formula

Assignment: pp. 99-100 #13-55 all; pp. 116-117 #3-20 all, 25-36 all, 40-54 all

Click Here for Assignment Answers

Objectives: Solve quadratic equations by inspection (e.g., for x²= 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a± bi for real numbers a and b. **[A-REI-B.4b] **Solve quadratic equations with real coefficients that have complex solutions **[N-CN.C.7]**

Monday- Lesson on Solving Quadratics by factoring or Square Roots; Assignment Pacing: pp. 99-100 #13-55 all

Tuesday- Lesson on Solving Quadratics by Completing the Square; Assignment Pacing: pp. 116-117 #3-20, 25-54 all

Wednesday- Practice ACT Test

Thursday - Practice ACT Test continued

Friday - Lesson on Completing the Square Continued; Assignment Pacing: Complete work on Assignment (not due until next week)

**Week of September 11th - FACTORING**

*Week 5 Bell Ringers*

*Factoring Extra Practice (scroll to the bottom for answers)*

*Quizlet - Factoring*

Video- Factoring out a GCF

Video- Factoring a Difference of Squares

Video - Factoring Trinomials

Video - Factoring by Grouping

Video - Factoring a Sum or Difference of Cubes Part 1

Video - Factoring Sum and Difference of Cubes Part 2

Assignment - Factoring Part 1 (Click here for the worksheet) and Factoring Part 2 (click here for the worksheet)

Objectives:Use the structure of an expression to identify ways to rewrite it. For example, see x4– y4 as (x²)²– (y²)², thus recognizing it as a difference of squares that can be factored as (x²– y²)(x²+ y²).** [A-SSE.A.2]**

Monday- Lesson on Factoring out a GCF, Difference of Squares, and Trinomials; Suggest Assignment Pacing: Factoring Part 1 Worksheet #1-23

Tuesday- Lesson on Factoring with Grouping; Suggested Assignment Pacing: Factoring Part 1 Worksheet #24-30

Wednesday - Lesson on Factoring Sum and Difference of Cubes; Suggested Assignment Pacing: Factoring Part 2 Worksheet #1-6

Thursday- Cooperative Learning Activity

Friday -** Test on Factoring** , Assignment Due

**Week of September 5th - COMPLEX NUMBERS**

ACT Bell Ringers Week 4

Answers to Book Problems

Quizlet - Complex Numbers

Video - Simplifying with Negatives Under the Radical

Video - Adding or Subtracting Complex Numbers

Video - Multiplying Complex Numbers

Video - Dividing Complex Numbers

*Assignment - Textbook Section 3.2 pp.108-110 #1-44 all (OMIT #32-36), 63-65 all, 69-74 all and Worksheet on Dividing Complex Numbers - click here for worksheet*

*Objectives: *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.A.1] **Use the relation i²= –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.**[N-CN.A.2] **Extend polynomial identities to the complex numbers. *For example, rewrite x ^{2} + 4 as (x + 2i)(x – 2i).*

**[N.CN.C.8]**

Tuesday- Lesson on simplifying with negatives under the radical, adding and subtracting with complex numbers

Wednesday- Lesson on multiplying and dividing with complex numbers; simplifying higher powers of i

Thursday - Cooperative Learning Activity

Friday- **Test on Complex Nmbers**; Assignment due

**Week of August 28th - LOCAL AND GLOBAL CHARACTERISTICS**

ACT Bell Ringers Week 3

Quizlet - Local and Global Characteristics

Video - Domain and Range, Increasing and Decreasing

Video - Maxima and Minima

Video - Y-intercept

Video - End Behavior

Video - Even and Odd

Assignment -Worksheet - Click here for the worksheet

Objectives: 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.B.6] **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. **[A2: F-IF. B. 4]**

Monday - Lesson on interval notation, domain and range

Tuesday- Continued lesson on all other local and global characteristics

Wednesday- Cooperative Learning Activity - Rally Coach

Thursday- Review for test

Friday - **Test on Local and Global Characteristics; **Assignment due

**Week of August 21st - TRANSFORMATIONS OF FUNCTIONS**

*Bell Ringers Week 2*

Quizlet - Transformations of Functions

Instructional Video 1

Instructional Video 2

Instructional Video 3

Assignment -

Texbook - Sec 1.1 p. 8-10 #3-35 odds, 36, 45, 47

Sec 1.2 p. 16-18 # 3-35 odds

Objective: The student will identiffy the effect on the graph of replacing f(x) by f(x)+k, kf(x), f(kx), and f(x+k) for positive and negative values of k. **[F-BF B.3] **

Monday - Lesson on horizontal and vertical transformation rules

Tuesday- Continued lesson on reflection, vertical and horizontal stretch and shrink transformation rules

Wednesday- Cooperative Learning Activity - "Quiz, Quiz, Trade"

Thursday- Review for test

Friday - **Test on Transformations of Functions; **Assignment due

**Week of August 14th - OPERATIONS WITH FUNCTIONS**

Objective: The student will use the structure of an expression to identify ways to rewrite it. **[A-SSE A.2] **Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. **[A-SSE B.3] **Use polynomial identities to describe numerical relationships. **[A-APR B4]**

Bell Ringers - Week 1

Textbook Problems and Solutions

Quizlet - Operations with Functions

Instructional Video - Operations with Polynomials

Instructional Video - Operations with Functions

Assignment - Honors - Operations with Functions

Assignment - On-Level - Operations with Functions

Monday- Lesson on Evaluating and Operations with Functions

Tuesday- Continue lesson on Evaluating and Operations with Functions

Wednesday - Cooperative Learning Activity - "Rally Coach"

Thursday- Review for test/ go over homework problems

Friday- **Test on Operations with Functions; **Assignment due

** Week of August 10th- INTRODUCTION TO ALGEBRA II**

Objectives: the student will be familiar with classroom procedures.

Thursday: Review syllabus, suppllies list, classroom procedures, etc. HW: Get syllabus signed

Friday: Readiness Assessment HW: Create Interactive Notebook

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