Pacing Guide

Algebra I

Robert E. Lee High School Staunton City Schools

Staunton, Virginia 2007-08

Pacing for Algebra I, Part 1

Week(s) Organizing Topics Related Standards of Learning 1-2 Q1 CH 1 Connections to Algebra A.2, A.3, A.5

3-4 Q1 CH 2 Properties of Real Numbers Matrices

A.3, A.4

5-7 Q1 CH 3 Solving Linear Equations A.1, A.3

8-9 Q1 Benchmark testing, re-teach, midterm exam

1-3 Q2 CH 4 Graphing Linear Equations and Functions A.5, A.6, A.7, A.16, A.18

3-5 Q2 CH 5 Writing Linear Equations A.5, A.7, A.8

6-7 Q2 CH 6 Solving and Graphing Linear Inequalities A.1, A.3

7-8 Q2 Benchmark testing, re-teach, review

8- 9 Q2 Benchmark testing, re-teach, final exam

Blueprint Summary Table

Reporting Categories No. of Items

SOL

Expressions and Operations 12 A.2 A.10 A.11 A.12 A.13 Relations and Functions 12 A.5 A.15 A.18 Equations and Inequalities 18 A.1 A.3 A.6 A.7 A.8 A.9 A.14 Statistics 8 A.4 A.16 A.17 Total Number of Operational Items 50 Field Test Items* 10 *These field test items will not be used to compute students’ scores on the test Total Number of Items 60

Pacing for Algebra I Part 2

Week(s) Organizing Topics Related Standards of Learning Part 1 CH 1 Connections to Algebra A.2, A.3, A.5

Part 1 CH 2 Properties of Real Numbers A.3

Part 1 CH 3 Solving Linear Equations A.1, A.3

Part 1 Matrices (Supplemental Materials: Teacher Resources) A.4

Part 1 CH 4 Graphing Linear Equations and Functions A.5, A.6, A.7, A.16, A.18

Part 1 CH 5 Writing Linear Equations A.5, A.7, A.8

Part 1 CH 6 Solving and Graphing Linear Inequalities A.1, A.3

Part 1 Statistics (Supplemental Materials: Teacher Resources) A.17

1-2 Q1 Review of CH 3, Matrices, CH 4, CH 5, and CH 6 CH 7 Systems of Linear Equations

A.1, A.2, A.3, A.4, A.5, A.6, A.7, A.8, A.15, A.16, A.18 A.9

3 Q1 CH 8 Exponents A.10

4-8 Q1 CH 10 Polynomials and Factoring 11.3 (Div Poly by Monomial) after 10.2

A.12, A.11, A.14

8- 9 Q1 Benchmark testing, re-teach, midterm exam

1- 2 Q2 CH 9 Quadratic Equations and Functions A.14, A.13, A.15

2 - 4 Q2 Radical/ Rational Expressions and Equations (simplification, direct and inverse variation)

4-5 Q2 Statistics and Properties A.17

6-7 Q2 Benchmark test, Re-teach, Review for SOL and take SOL

A.3

8-9 Q2 applications, distance formula, Pythagorean problems, radical/rational equations

Pacing for Algebra I, Semester

Week(s) Organizing Topics Related Standards of Learning 1 Q1 CH 1 Expressions, Equations, and Functions A.2, A.3, A.5

2-3 Q1 CH 2 Properties of Real Numbers A.3, A.4, A.13

3-4 Q1 CH 3 Solving Linear Equations A.1, A.3

5-6 Q1 CH 4 Graphing Linear Equations and Functions A.5, A.6, A.7, A.16, A.18

7-8 Q1 CH 5 Writing Linear Equations A.5, A.7, A.8

9 Q1 CH 6 Solving and Graphing Linear Inequalities A.1, A.3

1-2 Q2 CH 7 Systems of Linear Equations A.9

3 Q2 CH 8 Exponents A.10

4-5 Q2 CH 9 Polynomials and Factoring 12.3 (Div Poly by Monomial) after 9.2

A.12, A.11, A.14

6 Q2 CH 10 Quadratic Equations and Functions (Just Section 10.3: Can add to Unit 9)

A.14, A.15

7 Q2 CH 13 Statistics A.17

8 Q2 Review for SOL and take SOL A.3

9 Q2 5-5 Parallel and Perpendicular Lines Finish CH 10 Quadratic Formula Graphing Quadratics CH 11 Radical Expressions and Equations

CH 1 Connections to Algebra Part 1 Q1 Weeks 1-2 A.2 The student will represent verbal quantitative situations algebraically and evaluate these expressions for given

replacement values of the variables. Students will choose an appropriate computational technique, such as mental mathematics, calculator, or paper and pencil.

A.3 The student will justify steps used in simplifying expressions and solving equations and inequalities. Justifications will

include the use of concrete objects; pictorial representations; and the properties of real numbers, equality, and inequality. A.5 The student will create and use tabular, symbolic, graphical, verbal, and physical representations to analyze a given set of

data for the existence of a pattern, determine the domain and range of relations, and identify the relations that are functions.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . . Evidence of Mastery*

(See Notes)

A.2 A B C D / A.1 A & F

Use algebraic expressions to describe mathematical relationships. Evaluate algebraic expressions for a given replacement set using order of operations.

Use Describe Evaluate

Use NFL Quarterback rating formula www.supernfl.com/QBRating.com

Use LeeHigh data to rate Lee QBs

Collect activity

A.3

Create and interpret pictorial representations for simplifying expressions.

Create, interpret, simplify

Use tiles to represent integers for integer operations

Algebra Tiles or Blocks

Gizmo: using algebraic expressions & equations www.explorelearning.com

Written quiz

A.5 D

Identify the domain and range for a linear relation when given a set of ordered pairs, a table, a mapping, or a graph.

Identify Textbook assignment

Create pictoral representation

Gizmo: linear functions

Functions 1 p 114:www.ttaconline.com

Collect assignment

Collect pictures

CH 2 Properties of Real Numbers Part 1 Q1 Weeks 3-4 A.3 The student will justify steps used in simplifying expressions and solving equations and inequalities. Justifications will

include the use of concrete objects; pictorial representations; and the properties of real numbers, equality, and inequality.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . . Evidence of Mastery*

(See Notes)

A.3 A

Create and interpret pictorial representations for simplifying expressions. Justify the steps in evaluating algebraic expressions using the commutative, associative, and distributive properties.

Create Justify

Match properties with examples of properties

Supplement Properties with matching cards and more practice worksheets: Old Glencoe 1-6 & 1-8

View http://regentsprep.org/Regents/math/realnum/propT2.htm and create similar pictures

Complete practice assignments at the same webpage

Look for correct matches

Collect assignment

CH 3 Solving Linear Equations Part 1 Q1 Weeks 5-7 A.1 The student will solve multi-step linear equations and inequalities in one variable, solve literal equations (formulas)

for a given variable, and apply these skills to solve practical problems. Graphing calculators will be used to confirm algebraic solutions.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . . Evidence of Mastery*

(See Notes)

A.1 E

Introduce solving multistep linear equations by briefly reviewing one-step and two-step equation solving. Solve literal equations (formulas) and implicit equations for a specified variable. Confirm algebraic solutions to equations using the functions of a graphing calculator. • In an implicit equation, graph each side

of the equation separately but on the same set of axes and find the coordinates of the point of intersection.

In an explicit equation, graph the equation and find the x-intercept.

Solve Confirm graph

Hands-on equation equations (multi step)

Gizmos: Modeling and solving equations

www.explorelearning.com

3.7 Literal Equations: Supplement with Old Glencoe 3-6 & New 2007 Alg I 3.7

Graphing calculator activity in teacher res/ alg I res/ ch 3

Collect activity sheet

Collect assignment

Collect calc activity

CH 3 Solving Linear Equations Part 1 Q1 Weeks 5-7 A.1 The student will solve multi-step linear equations and inequalities in one variable, solve literal equations (formulas) for

a given variable, and apply these skills to solve practical problems. Graphing calculators will be used to confirm algebraic solutions.

A.3 The student will justify steps used in simplifying expressions and solving equations and inequalities. Justifications will

include the use of concrete objects; pictorial representations; and the properties of real numbers, equality, and inequality.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . . Evidence of Mastery*

(See Notes)

A.3E Create and interpret pictorial and concrete representations and justifications for solving equations.

create interpret

Create pic Collect pics

L needed

A.1 /A.3 B C

Solve multistep equations by using: • commutative properties • associative properties • distributive property • order of operations • addition and multiplication properties

of equality • closure property • identity and inverse properties • reflexive, symmetric, and transitive

properties of equality • substitution property of equality.

solve Hands-on equation equations (multi step)

Gizmos: Modeling and solving equations

www.explorelearning.com

Graphing calculator activity in teacher res/ alg I res/ ch 3

Collect activity sheet

Collect calc activity

A.3 D

Use the properties listed above to justify steps in solving equations.

justify Review properties: matching cards practice sheet

Collect activity sheet

Matrices: Supplemental Materials (See Teacher Resources) Part 1 Q2 Week 1 A.4 The student will use matrices to organize and manipulate data, including matrix addition, subtraction, and scalar multiplication. Data will arise from business, industrial, and consumer situations.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . . Evidence of Mastery*

(See Notes)

A.4 A B C D E

Use matrices to organize data arising from applications in business, industry, and consumerism. Add and subtract matrices. Multiply a matrix by a scalar factor. Represent a system of linear equations as a matrix. (Not in Algebra I)

Organize Add Subtract Multiply

Use supplemental activity sheets in teacher resources

Collect activity sheets

CH 4 Graphing Linear Equations and Functions Part 1 Q2 Weeks 1-4 A.5 The student will create and use tabular, symbolic, graphical, verbal, and physical representations to analyze a given set of

data for the existence of a pattern, determine the domain and range of relations, and identify the relations that are functions.

A.15 The student will, given a rule, find the values of a function for elements in its domain and locate the zeros of the function both algebraically and with a graphing calculator. The value of f(x) will be related to the ordinate on the graph.

A.16 The student will, given a set of data points, write an equation for a line of best fit and use the equation to make predictions.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . . Evidence of

Mastery*(See Notes)

A.16

A

B

Given a set of data points in a table, on a graph, or from a practical problem, write the equation of a line of best fit. Using the equation of the best fit line, make predictions about unknown outcomes.

Write, predict

Activity on the world tallest man (see teachers resources)

www.mathbits/MathBits/TISection/Openpage.htm

Gizmos:Using Tables, Rules and Graphs

Collect practice sheet

A.5

C

Analyze a set of data for the existence of a pattern that defines the change relating input and output values. Represent the pattern symbolically and graphically and determine whether or not the relation is a function.

Analyze, represent, determine

www.explorelearning.com

Linear function gizmo

Practice sheet on graphing and writing equation form a table

A.5 E Use physical representations, such as algebra manipulatives, to represent quantitative data.

A.15

A

Compare and contrast relations and functions. Identify the domain and range for a linear relation when given a set of ordered pairs, a table, a mapping, or a graph. For each value, x, in the domain of f, find f(x). Identify whether or not a linear relation is a function and justify the classification. Data may be presented as a set of ordered pairs, a table, a mapping, or a graph. For values of x in the domain of a function, find the associated values of f(x) in the range of the function.

Compare contrast, identify, find, justify

Introduction to function gizmo Functions 1 p 114:www.ttaconline.com

Chapter Test: http://staunton.k12.va.us/its/Math/AlgebraI/Chapter 5 Test.doc

State Domain and Range for Log and Exp Functions www.ttaconline.com p116

ALGEBRA II Enhanced Scope and Sequence

Create test that includes finding the domain and range of a graph

Collect activity

Collect/grade test

CH 4 Graphing Linear Equations and Functions Part 1 Q2 Weeks 1-4 A.6 The student will select, justify, and apply an appropriate technique to graph linear functions and linear inequalities

in two variables. Techniques will include slope-intercept, x- and y-intercepts, graphing by transformation, and the use of the graphing calculator.

A.7 The student will determine the slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined. The graphing calculator will be used to investigate the effect of changes in the slope on the graph of the line.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . .

Evidence of Mastery*(See

Notes)

A.7

F

A

Describe slope as a constant rate of change. Recognize and describe a line with a slope that is positive, negative, or zero. Recognize that m represents the slope in the equation of the form y = mx + b.

Describe Recognize

Slope gizmos www.explorelearning.com

Slope sticks p 78:www.ttaconline.com

Cartoon or pictoral rep of slope

Activity sheet

Collect cartoon, etc

A.6 B

/A.7 G

Using the line y = x as a reference, generalize the effect of changes in the equation on the graph of the line. Use the graphing calculator to facilitate development of this concept.

Generalize Gizmo: Slope-Intercept Form of a Line - Activity A

Graphing calc activity:www.ttaconline.com

enhanced SOLs: Transformationally Speaking

Written test

Collect activity

A.6 Characterize the changes in the graph of the line as translations, reflections, and dilations. (Terms not used in alg I.)

See above

CH 4 Graphing Linear Equations and Functions Part 1 Q2 Weeks 1-4 A.6 The student will select, justify, and apply an appropriate technique to graph linear functions and linear inequalities

in two variables. Techniques will include slope-intercept, x- and y-intercepts, graphing by transformation, and the use of the graphing calculator.

A.7 The student will determine the slope of a line when given an equation of the line, the graph of the line, or two points on the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined. The graphing calculator will be used to investigate the effect of changes in the slope on the graph of the line.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . .

Evidence of Mastery*(See

Notes)

A.7

Calculate the slope of a line given: • the coordinates of two points on the line • the equation of the line • the graph of the line. Recognize and describe a line with a slope that is undefined.

Calculate Recognize Describe

Gizmo: Slope - Activity A, B, C

www.ttaconline.com

enhanced SOLs: Sally Snail p85

Written test

Collect activity

A.6

A C

Given the equation of a line, solve for the dependent variable and graph: • using transformations • using the slope and y-intercept • using the x-intercept and y-intercept. Graph an inequality in two variables.

Solve graph

Gizmos: Slope-Intercept Form of a Line - Activity B

Gizmos: Standard Form of a Line

Collect activity sheets

Written test

A.6

D

D. Explain why a given technique is appropriate for graphing a linear function.

CH 4 Graphing Linear Equations and Functions Part 1 Q2 Weeks 1-4

A.18The student will analyze a relation to determine whether a direct variation exists and represent it algebraically and graphically, if possible.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . .

Evidence of Mastery*(See

Notes)

A.18 A B

Recognize and describe direct variation from a graph or a table of values. Given a set of data, determine whether a direct relationship exists and write the equation for the variation, if one exists.

Recognize Describe Determine write

www.ttaconline.com

enhanced SOLs: Direct Variation p 112

create more supplemental materials for table, graph, verbal, and equation recognition

Check:

Table, graph, verbal, and equation recognition

CH 5 Writing Linear Equations Part 1 Q2 Weeks 5-6 A.5 The student will create and use tabular, symbolic, graphical, verbal, and physical representations to analyze a given set

of data for the existence of a pattern, determine the domain and range of relations, and identify the relations that are functions. A.7 The student will determine the slope of a line when given an equation of the line, the graph of the line, or two points on

the line. Slope will be described as rate of change and will be positive, negative, zero, or undefined. The graphing calculator will be used to investigate the effect of changes in the slope on the graph of the line.

A.8 The student will write an equation of a line when given the graph of the line, two points on the line, or the slope and a

point on the line.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . .

Evidence of Mastery*(See

Notes)

A.8

A B C

D E F

Write the equation of a line given: • the coordinates of two points on the line • the slope and the y-intercept of the line • one point on a vertical line • one point on a horizontal line • the graph of the line.

Write

www.ttaconline.com

enhanced SOLs: Equation of the Lines p.105 (matching game)

Gizmos: Defining a line with two points

Can identify which formula to use from information given, and write the equation. From a graph can find slope, a point, and write the equation.

A.5

A

B

Analyze a set of data for the existence of a pattern that defines the change relating input and output values. Represent the pattern symbolically and graphically.

Analyze Represent

www.explorelearning.com

Linear function gizmo

Practice sheet on graphing and writing equation form a table

A.7

C

B

D

E

Calculate the slope of a line given: • the coordinates of two points on the line • the equation of the line • the graph of the line. Recognize and describe a line with a slope that is undefined.

Calculate Recognize Describe

Refer to textbook exercises, lesson 5.1 http://staunton.k12.va.us/its/Math/AlgebraI/Quiz 6-1 (Alg).doc Quiz: http://staunton.k12.va.us/its/Math/AlgebraI/Quiz 6-4 (Alg).doc

Chapter Test: http://staunton.k12.va.us/its/Math/AlgebraI/Chap. 6 Test (Alg).doc

Written test.

CH 6 Solving Linear Inequalities Part 1 Q2 Week 7 A.1 The student will solve multi-step linear equations and inequalities in one variable, solve literal equations (formulas) for

a given variable, and apply these skills to solve practical problems. Graphing calculators will be used to confirm algebraic solutions.

A.3 The student will justify steps used in simplifying expressions and solving equations and inequalities. Justifications will

include the use of concrete objects; pictorial representations; and the properties of real numbers, equality, and inequality.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . . Evidence of Mastery*

(See Notes)

A.1 B C D

Solve linear inequalities in one variable. www.explorelearning.com

gizmo: Solving Linear Inequalities using Addition, Subtraction, Mult, and Div

textbook practice

Collect assignment

A.1 A

Translate verbal sentences to algebraic equations and inequalities in one variable.

A.1 F

Apply skills for solving linear equations to practical situations.

A.3 Justify steps in solving linear inequalities using properties of real numbers and order.

Review properties with matching activity Look for correct matches

A.1 G

Graph the solution to a linear inequality in the coordinate plane.

www.explorelearning.com

gizmo:Linear Inequalities in Two Variables

textbook practice

Collect assignment

Statistics Supplemental Materials (See Teacher Resources) Part 1 Q2 Week 8 A.17 The student will compare and contrast multiple one-variable data sets, using statistical techniques that include

measures of central tendency, range, and box-and-whisker graphs.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . . Evidence of

Mastery*(See Notes)

A.17 A B C D

Organize a set of data. Calculate the mean, median, mode, and range of a set of data. Use the calculated values for mean, median, mode, and range, stem-and-leaf, and box-and-whisker plots to compare and contrast two sets of data. Describe the relationships between and among data sets.

Organize

Calculate

Use

Compare

Contrast

describe

2007 Semester Alg I 13.6, 13.7, 13.8 textbook practice

Old Glencoe 3-7,5-7,7-7

Soda Cap Activity in Teacher Resources: http://staunton.k12.va.us/its/Math/AlgebraI/Soda Cap Activity.doc

www.ttaconline.com

enhanced SOLs: Box and Whisker p 11

Stem-Leaf Warmup: in Teacher Resources http://staunton.k12.va.us/its/Math/AlgebraI/Stem-Leaf Plot Warmup.doc

Mean/Median/Mode Quiz in Teacher Resources: http://staunton.k12.va.us/its/Math/AlgebraI/MMM Quiz.doc

Interquartile Quiz in Teacher Resources: http://staunton.k12.va.us/its/Math/AlgebraI/IQR Quiz.doc

Box-Whisker Plot Quiz: in Teacher Resources http://staunton.k12.va.us/its/Math/AlgebraI/Box-Whisker Quiz.doc

Collect assignment

Collect activity sheet

Collect warmup

Collect quizzes

CH 7 Systems of Linear Equations Part 2 Q1 Weeks 4-5 A.9 The student will solve systems of two linear equations in two variables both algebraically and graphically and

apply these techniques to solve practical problems. Graphing calculators will be used both as a primary tool for solution and to confirm an algebraic solution.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . .

Evidence of Mastery*(See

Notes)

A.9

A

B

C

D

E

Solve a system of linear equations algebraically to find the ordered pair that satisfies both equations simultaneously and solves the system. Use the substitution or elimination techniques to solve the system. Solve a system of linear equations graphically by graphing the equations on the same set of axes and finding the coordinates of the point of intersection. Decide if the solution to a system of equations is reasonable. Interpret the solution to a system of equations that describes a practical situation in terms of the practical situation. Determine if a system of linear equations has one solution, no solution, or infinitely many solutions. Interpret the number of solutions to a system of equations in terms of the graph of the system and the geometry of the lines.

Solve Find Use Graph Decide Interpret Describe Determine

Gizmos: Solving Linear Equations by Graphing www.explorelearning.com

TI83: Second Trace, #5, Enter, Enter, Enter www.ttaconline.com

enhanced SOLs: Spring Fling Carnival, p. 59

What’s your call, p.54 S of E Quiz (Graphing):

http://staunton.k12.va.us/its/Math/AlgebraI/Quiz 8-1 (Alg).doc

S of E Quiz (Substitution): http://staunton.k12.va.us/its/Math/AlgebraI/Quiz 8-2 (Alg).doc

S of E Quiz (Elimination): http://staunton.k12.va.us/its/Math/AlgebraI/Quiz 8-3 and 8-4 (Alg).doc

S of E Word Problems: http://staunton.k12.va.us/its/Math/AlgebraI/S of E Word problems.doc

S of E Test: http://staunton.k12.va.us/its/Math/AlgebraI/Chapter 8 Test (Alg).doc

Collect Activities

Written Test

Collect quizzes

Collect word problem wkst

CH 8 Exponents Part 2 Q1 Week 6 A.10 The student will apply the laws of exponents to perform operations on expressions with integral exponents, using scientific

notation when appropriate.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . .

Evidence of Mastery*(See

Notes)

A.10 A

Identify the base, exponent, and coefficient of a monomial.

Identify Students draw pictoral/cartoon representation.

Written Quiz

A.10 B

Develop the laws of exponents using the graphing calculator and pattern recognition. Generalize the patterns and represent the patterns symbolically.

Develop Generalize

www.ttaconline.com

Exponents, p. 131

Exponent rule game: p 24 Enhanced S&S

www.ttaconline.com ALGEBRA II

Calculator Quiz

A.10

Express very large numbers and very small numbers using scientific notation.

Express www.ttaconline.com

Scientifically Speaking, p. 133

Written Quiz

A.10 C

Add, subtract, multiply, and divide numbers written in scientific notation.

Add Subtract Multiply Divide

www.ttaconline.com

Scientifically Speaking, p. 133

Written Quiz

CH 10 Polynomials and Factoring Part 2 Q1 Weeks 7-9/ Q2 Week 10 A.11 The student will add, subtract, and multiply polynomials and divide polynomials with monomial divisors, using concrete objects,

pictorial and area representations, and algebraic manipulations. A.12 The student will factor completely first- and second-degree binomials and trinomials in one or two variables. The graphing calculator will

be used as a tool for factoring and for confirming algebraic factorizations.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . .

Evidence of Mastery*(See

Notes)

A.11

B

Use algebra manipulatives to develop strategies for adding and subtracting polynomials.

B. Relate concrete and pictorial representations for polynomial operations to their corresponding algebraic manipulations.

Use Develop AlgeTiles, AlgeBlocks

Gizmo: addition of polynomials A,B

www.ttaconline.com Old Polly, p. 137

Collect activity sheet

A.11

Simplify expressions involving polynomials. Simplify Worksheet and See above

Poly. Quiz (+/-): http://staunton.k12.va.us/its/Math/AlgebraI/Quiz 9-5 (Alg).doc

Collect quiz

A.11 Recognize polynomials and classify them according to the number of terms they have or by the degree of the polynomial.

Recognize Classify Textbook Practice Collect sheet

A.11

C D

Use pattern recognition and algebra manipulatives to develop strategies for adding, subtracting, and multiplying monomials and binomials.

C. Find sums and differences of polynomials.

D. Multiply polynomials by monomials and binomials by binomials symbolically.

Use Develop AlgeTiles, AlgeBlocks

Gizmo: addition of polynomials A,B

www.ttaconline.com Old Polly, p. 137

Collect sheet

A.11

A E

Find the quotient of polynomials.

Find Textbook practice See 11.2 Written test

CH 10 Polynomials and Factoring Part 2 Q1 Weeks 7-9/ Q2 Week 10 A.11 The student will add, subtract, and multiply polynomials and divide polynomials with monomial divisors, using concrete objects,

pictorial and area representations, and algebraic manipulations. A.12 The student will factor completely first- and second-degree binomials and trinomials in one or two variables. The graphing calculator will

be used as a tool for factoring and for confirming algebraic factorizations.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . .

Evidence of Mastery*(See

Notes)

A.12

A

Identify common factors in polynomial expressions and use the distributive property to rewrite the expressions in factored form.

Identify Use Rewrite

www.funmaths.com

see teacher res./ Alg I res./chap 10/10.8

Collect sheet

A.12

D

Use the x-intercepts from the graphical representation of the polynomial to determine and confirm its factors.

A.12

C

Use the patterns recognized and generalized in multiplying polynomials to develop patterns in reverse for factoring.

Use Develop AlgeTiles, AlgeBlocks

Gizmo: modeling factoring

www.ttaconline.com Functionality, p. 141

A.12

B

Factor first and second degree polynomials completely.

Factor www.ttaconline.com Functionality, p. 141

gizmo: factoring www.explorelearning.com

Collect sheet

CH 10 Polynomials and Factoring Part 2 Q1 Weeks 7-9/ Q2 Week 1 A.14 The student will solve quadratic equations in one variable both algebraically and graphically. Graphing calculators

will be used both as a primary tool in solving problems and to verify algebraic solutions.

Related SOL

Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . . Evidence of

Mastery*(See Notes)

A.14

Solve quadratic equations graphically by graphing the equation and finding the x-intercepts of the graph. The x-intercepts are the real roots or solutions of the equation.

Solve quadratic equations algebraically by factoring (zero product property) or by using the quadratic formula. Factors may be found algebraically and confirmed graphically or may be found graphically and confirmed algebraically.

Determine the domain and range of quadratic relations.

For values of x in the domain of a function, find the associated values of f(x) in the range of the function.

www.ttaconline.com Factoring for Zeros, p. 142

Zeros/Quadratic Graphs Quiz: http://staunton.k12.va.us/its/Math/AlgebraI/Quiz 10-6 and 11-1 (Alg).doc

Collect activity sheet

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CH 9 Quadratic Equations and Functions Part 2 Q2 Week 2 A.13 The student will express the square root of a whole number in simplest radical form and approximate square roots to the

nearest tenth. A.14 The student will solve quadratic equations in one variable both algebraically and graphically. Graphing calculators

will be used both as a primary tool in solving problems and to verify algebraic solutions. A.15 The student will, given a rule, find the values of a function for elements in its domain and locate the zeros of the

function both algebraically and with a graphing calculator. The value of f(x) will be related to the ordinate on the graph.

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Essential Knowledge and Skills

Students should be able to: Verb

Strategies to Engage the Learner

The learner will . . . Evidence of

Mastery*(See Notes)

A.13

A

B

C

Estimate the square root of a number to the nearest tenth. Write the square root of a whole number in simplest radical form. Use a calculator to find decimal approximations of radical expressions.

gizmo: Square Roots www.explorelearning.com Written quiz

A.14

B

C

Solve quadratic equations graphically by graphing the equation and finding the x-intercepts of the graph. The x-intercepts are the real roots or solutions of the equation.

Determine the domain and range of quadratic relations.

For values of x in the domain of a function, find the associated values of f(x) in the range of the function.

Calculator activity in teacher res/ alg I res/CH 9/9.5

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A.15

B Identify the zeros of the function algebraically and graphically

Determine the domain and range of quadratic relations.

gizmo: Roots of a Quadratic www.explorelearning.com

Calculator activity in teacher res/alg I res/CH 9/9.5

Zeros/Quadratic Graphs Quiz: http://staunton.k12.va.us/its/Math/AlgebraI/Quiz 10-6 and 11-1 (Alg).doc

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Additional Topics for Algebra Honors • Solve systems of equations using matrix manipulation. • Solve compound inequalities. • Solve systems of inequalities. • Examine the effects of transformations on the graphs and equations of polynomial functions. • Develop the distance formula as an application of the Pythagorean Theorem. Resources • NASA http://spacelink.nasa.gov/.index.html • The Math Forum http://forum.swarthmore.edu/ • 4teachers http://www.4teachers.org • Appalachia Educational Laboratory (AEL) http://www.ael.org/pnp/index.htm • Eisenhower National Clearinghouse http://www.enc.org/ • Algebra Instructional Modules • Virginia Algebra Resource Center http://curry.edschool.virginia.edu/k12/algebra

• NASA http://spacelink.nasa.gov/.index.html

• The Math Forum http://forum.swarthmore.edu/

• 4teachers http://www.4teachers.org

• Appalachia Educational Laboratory (AEL) http://www.ael.org/pnp/index.htm • Eisenhower National Clearinghouse http://www.enc.org/ • Mathematics SOL Teacher Resource Guide

http://www.pen.k12.va.us/VDOE/Instruction/math_resource.html • SOL Test Blueprints • SOL Test Released Items

• Appalachia Educational Laboratory (AEL) http://www.ael.org/pnp/index.htm