Date

Algebra 2

Fall 2009-2010

Objectives and Activities

David E. Haines

As of February 22, 2010

Standards/Assessment

 

06 Jan 10

 

Registration Day

 

TSW:

·        Solve a problem “Pizza Math” in which they will apply reasoning to determine which algebraic properties are used to explain the observed result.

·        Solve problems that review problem solving techniques of guess and check, work backwards, write an equation, and draw a picture.

 

Standard Number 1.0: Number and Operations

 Students will recognize, represent, model, and apply real numbers and operations and will demonstrate an understanding of properties and operations of the complex number system.

 

 

 

 

 

TN State Standards for the week:

ü     3103.1.1 Use mathematical language, symbols, definitions, proofs and counterexamples correctly and precisely in mathematical reasoning.

ü     3103.2.1 Understand the hierarchy of the complex number system and relationships between the elements, properties and operations.

ü     3103.1.6 Use graphical representations to perform operations on complex numbers.

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07 Jan 10-08 Jan 10

 

SNOW DAY

 

 

 

11 Jan 10

 

Assessment: Diagnostic Test

 

Diagnostic Test

 

 

12 Jan 10-13 Jan 10

 

 

TSW:

 

·        Complete In-processing requirements

·        Multiply and divide monomials

·        Use expressions written in scientific notation

 

 

 

Section 5-1

 

Practice: Select problems from Pg 226 (18-55) (Grade 12 problems)

 

Pg 226 (24-52even)

 

 

 

14 Jan 10-15 Jan 10

 

 

TSW:

·        Add and subtract polynomials

·        Multiply polynomials

 

 

 

 

Section 5-2

 

 

 

Practice: Select problems from Pg 231 (7-33, 37-50) (Grade 10 Problems)

Pg 231 (8-32even, 38-46even)

 

 

 

19 Jan 10

TSW:

·        Complete Diagnostic Test B

·        Multiply and divide monomials

·        Use expressions written in scientific notation

 

 

 

 

 

20 Jan 10-22 Jan 10

 

Warm up: Problem from board

Pg 227 (40, 54)

 

TSW: 

·            Divide polynomials using long division

·            Divide polynomials using synthetic division

 

 

Section 5-3

2d block Pg 836 Quiz 12 Aug

 

Practice: Select problems from Pg 236 (15-44) (Grade 5 Problems)

Pg 237 (26-32even, 44)

Pg 837: Lesson 5-2 (7, 13, 16, 25 and Lesson 5-3 (1, 4, 6, 10, 18)

 

 

25 Jan 10

 

Review 5-3

 

Assessment: Quiz (5-1 to 5-3)

 

TSW:

·        Factor polynomials

·        Simplify polynomials by factoring

 

 

 

 

Quiz (5-1 to 5-3)

 

Section 5-4

 

Practice: Select problems from Pg 243 (15-51)

(Grade 10 Problems)

Pg 243 (30-38 even, 50)

 

 

 

 

26 Jan 10-27 Jan 10

TSW:

·        Factor polynomials

·        Simplify polynomials by factoring

 

 

Finish pg 243 (30-38 even, 50)

 

Pg 837 5-4 (1-29 odd)

 

 

28 Jan 10

 

Review for Test 1: Polynomials

 

 

 

Rev for Test 1

 

 

 

29 Jan 10-03 Feb 10

 

SNOW DAY

 

 

 

04 Feb 10-05 Feb 10

 

Review (1B) for Test 1

 

Schedule interrupted by TCAP Writing Assessment

 

Rev (1B)

 

 

08Feb 10

 

Assessment: Test 1 Polynomials

 

 

 

Test 1

 

 

09 Feb 10

 

SNOW DAY

 

 

 

10 Feb 10

 

TSW:

·        Simplify rational expressions

·        Simplify complex fractions

 

Section 9-1

 

Guided practice pg 476:14-21

 

Pg 476 Practice Problems:

22-41

(Grade 8 problems)

 

 

 

 

TN State Standards for the week:

 

 

·         SPI 3103.3.1 Add, subtract and multiply polynomials; divide a polynomial by a lower degree polynomial.

·         SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial.

·         SPI 3103.3.3 Add, subtract, multiply, divide and simplify rational expressions including those with rational and negative exponents.

·        SPI 3103.3.6 Combine functions (such as polynomial, rational, radical and absolute value expressions) by addition, subtraction, multiplication, division, or by composition and evaluate at

 

 

11 Feb 10-17 Feb 10

 

TSW:

·        Determine the LCM of polynomials

·        Add and subtract rational expressions

 

Section 9-2

 

 

Practice pg 482: 14-43

(Grade 10 Problems)

22-40 even

 

Graded Extra practice pg 847

Lesson 9-1 ( 1, 4, 7, 10)

Lesson 9-2 (1, 4, 10, 13, 16, 19, 22)

 

 

 

 

18 Feb 10-22 Feb 10

 

Assessment: Review for Test 2

(5-1 to 5-4, 9-1, 9-2)

 

Quiz on 5-4 19 Feb 10

Rev Test 2

 

 

 

23 Feb 10

 

Assessment: Test 2 (Polynomials)

 

 

 

 

Test 2

 

 

TN State Standards for the week:

 

 

·         SPI 3103.3.1 Add, subtract and multiply polynomials; divide a polynomial by a lower degree polynomial.

·         SPI 3103.3.2 Solve quadratic equations and systems, and determine roots of a higher order polynomial.

·         SPI 3103.3.3 Add, subtract, multiply, divide and simplify rational expressions including those with rational and negative exponents.

SPI 3103.3.6 Combine functions (such as polynomial, rational, radical and absolute value expressions) by addition, subtraction, multiplication, division, or by composition and evaluate at

 

 

 

24 Feb 10

 

TSW:

·        Simplify radicals

·        Use a calculator to approximate radicals

·        Simplify radical expressions

·        Add, subtract, multiply, and divide radical expressions

 

 

Section 5-5

Pg 248 (16-51)

Grade 7 problems

 

Section 5-6

Pg 254 ( 15-48)

Grade 7 problems

 

 

 

25 Feb 10

 

TSW:

·        Simplify radicals

·        Use a calculator to approximate radicals

·        Simplify radical expressions

·        Add, subtract, multiply, and divide radical expressions

 

 

Section 5-7

Pg 261 (21-64)

 

 

 

26 feb 10

 

 TSW:

·        Simplify radicals

·        Use a calculator to approximate radicals

·        Simplify radical expressions

·        Add, subtract, multiply, and divide radical expressions

 

Section 5-8

Pg 266 (13-30)

 

 

 

TSW:

·        Add and subtract complex numbers

·        Multiply and divide complex numbers

·        Graph complex numbers on a coordinate plane

 

Finish Benchmark Test

Section 5-9

 

Pg 273 (selected problems from 4-61)

 

10 Sep 2d block pg 274(18-30even)

11 Sep 1st block pg 274(18-30even)

274 (31-41)

 

 

 

TSW:

·        Add and subtract complex numbers

·        Multiply and divide complex numbers

·        Graph complex numbers on a coordinate plane

 

 

Pg 838, lesson 5-7 (1,5,9,13,17,21,25,29)

 

Pg 839, lesson 5-8 (4,10)

Lesson 5-9 (1,4,7,10,13)

 

 

 

Assessment: Quiz 5-7 to 5-9

 

Quiz 5-7 to 5-9

 

 

 

Use the calculator to help students connect transformations of quadratic equations with changes in the coefficients of the quadratic equation

Introduction to Chap 6

TSW: 

·        Graph Quadratic Functions

·        Find and interpret the maximum and minimum values of a quadratic function

 

Section 6-1

Pg 291 (32-42even)

 

 

 

 

 

 

Parent-Teacher Conferences Noon-7:00 PM

 

 

 

Use the calculator to help students connect transformations of quadratic equations with changes in the coefficients of the quadratic equation

Introduction to Chap 6

TSW: 

·        Graph Quadratic Functions

Find and interpret the maximum and minimum values of a quadratic function

 

Section 6-2

Pg 298 (6-2) (21-37odd)

 

 

 

 

 

 

Mini-lecture explain example 4 and example 5, pg 296

 

TSW: 

·        Solve quadratic equations by graphing

·        Estimate solutions of quadratic equations by graphing

 

Practice:  Selected problems from

Mini-lecture to explain examples 1-4

 

TSW: 

·        Solve quadratic equation by factoring

·        Write a quadratic equation with given roots

 

Practice Selected problems from pg 303 (1-68)

 

Note: Homecoming 25 Sep

 

Section 6-3

Pg 304 (15-31 odd0

 

Pg 304 (18-30 even)

Pg 311(16,18,34,36,38)

 

 

 

 

Assessment: Quiz 6-1 to 6-2

 

Quiz 1st block 25 Sep

2nd block 24 Sep  (6-1, 6-2)

 

 

 

Retake Benchmark 4 ½ week Test

 

4 ½ week Test (count as a quiz)

 

 

 

Section 6-4: 

 

Objectives:

·        Solve quadratic equations by using the Square Root property

·        Solve quadratic equations by completing the square

Assessment: Review for Test 3 (6-1 to 6-4)

 

 

Pg 304 (14-30 even)

Selected problems from Pg 311 (32-47)

 

 

 

Review for Test 3

 

 

 

Test 3 (sections 6-1 to 6-4)

 

Test 3

 

 

 

 

 

 

 

Review 4 ½ week Benchmark Test

 

Review

 

 

 

Quiz: 4 ½ week Benchmark Test

 

Quiz

 

 

 

TSW:

·        Program the quadratic formula into the TI-83 Plus calculator

Use the calculator program to solve quadratic equations

 

Section 6-6

TSW:

·        Analyze quadratic functions in the form      y = a(x-h)2 + k

·        Write a quadratic function in the form         y = a(x-h)2 + k

 

Section 6-7

TSW: 

·        Graph quadratic inequalities in two variables

Solve quadratic inequalities in two variables

 

6.5,6.6,6.7

 

21 Oct: pg 841 lesson 6-5 (1-10)

 

Selected problems from

Pg 318 ( 14-39)

)

 

 

Pg 334 (30-40 even) 2d block

 

 

 

Review for Test 4

 

Review

 

 

 

Assessment: Test 4 Quadratic Functions

 

Test 4

 

 

 

TSW:

·        Evaluate polynomial functions

·        Identify general shapes of graphs of polynomial functions

7.1

Selected problems from pg 350 (16-44)

Grade 7 problems

22-36 even

 

 

 

Re-Teach Test 4

 

 

 

 

 

TSW:

·        Graph polynomial functions and locate their real zeros

·        Find the maxima and minima of polynomial functions

 

7.2

Selected problems from pg 356 (13-30)

Grade 7 problems

 

 

 

 

Assessment: Re-Test  4 Chapter 6

 

Test 4 Re-test

 

 

 

TSW: 

·        Write expressions in quadratic form

·        Use quadratic techniques to solve equations

 

7.3

Pg 363 (11-28) Turn in answers to the even numbers

 

 

 

Assessment: 9-week Benchmark Test

 

 

 

 

TSW::

·        Evaluate functions using synthetic substitution

·        Determine whether a binomial is a factor of a polynomial by using synthetic substitution

 

7.4

Pg 368 (13-30) Turn in answers to the even numbers

 

 

 

Assessment: Review for Test 5 (Polynomial Functions)

 

Review for Test 5

 

 

 

Assessment: Test 5 Polynomial Functions

 

Test 5

 

 

 

TSW:

·        Find the sum, difference, product, and quotient of functions

·        Find the composition of functions

 

 

7-7

 

Pg 387(18-28even)

Pg 387(30-46even)

 

 

 

TSW:

·        Find the inverse of a function or relation

·        Determine whether two functions or relations are inverses

 

 

 

7-8

 

Pg 393(14-36even)

 

 

 

Assessment: Review for Test 6 Operations on Functions

 

Rev Test 6

 

 

 

Assessment: Review for Test 6 Operations on Functions

 

 

 

 

Assessment: Test 6 Operations on Functions

 

 

 

 

TSW: 

·        Graph exponential functions

·        Solve exponential functions and inequalities

·        Evaluate logarithmic expressions

·        Solve logarithmic equations and inequalities

 

 

 

 

Section 10-1

 

Selected Problems from pg 528 (21-56)

2 Dec: Assigned pg 528: 40-54 even to be turned

 

Section 10.2

Selected problems from pg 535 (4-60)

 

 

 

 

 

TSW:

·        Simplify and evaluate expressions using the properties of logarithms

·        Solve logarithmic equations using the properties of logarithms

·        Solve exponential equations and inequalities using common logarithms

·        Evaluate logarithmic expressions using Change of Base Formula

 

 

 

 

 

 

Pg 841 Section 10-1 (5-23 odd) and 10-2 (1-13 odd)

 

 

Section 10-3

Selected problems from pg 544 (13-32)

 

Selection 10-4

Pg  549 –Selected problems from (4-50)

 

 

 

 

 

 

Assessment: Review for Test 7 (Exponential and Logarithmic Functions)/ Test 7

 

Rev Test 7/ Test 7

 

Note: Schedule change because of EOC Tests

 

 

 

Review for Final Exams

 

Review for Final Exam

 

 

 

Final Exam

 

Final Exam