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Algebra 1

Algebra 1

Curriculum Map

Curriculum Map

(2)

Table of Contents

Table of Contents

Unit 1:

Unit 1: Expressions and Equations

Expressions and Equations

Unit 6:

Unit 6: Polynomials

Polynomials

Unit 2:

Unit 2: Linear Equations

Linear Equations

Unit 7:

Unit 7: Factoring and Quadratics

Factoring and Quadratics

Unit 3:

Unit 3: Representing Linear Equations

Representing Linear Equations

Unit 8:

Unit 8: Rational Equations

Rational Equations

Unit 4:

Unit 4: Linear Inequalities

Linear Inequalities

Unit 9:

Unit 9: Applying Fractions

Applying Fractions

Unit 5:

(3)

Purpose of a Curriculum Map

Purpose of a Curriculum Map

The purpose of a

The purpose of a curriculum map is to document the

curriculum map is to document the intended

intended

relationship between components of the curriculum. Used as an

relationship between components of the curriculum. Used as an analysis

analysis

tool, a curriculum map allows instructors to review the curriculum to check

tool, a curriculum map allows instructors to review the curriculum to check

for unnecessary redundancies, inconsistencies, misalignments, weaknesses

for unnecessary redundancies, inconsistencies, misalignments, weaknesses

and gaps. Ultimately, a curriculum map will

and gaps. Ultimately, a curriculum map will be the bridge between the state

be the bridge between the state

standards and state-mandated curriculum and the taught

standards and state-mandated curriculum and the taught and learned

and learned

curriculum.

(4)

Unit 1

Unit 1:

: Expressions &

Expressions & Equations

Equations

Approximate Duration of Study:

Approximate Duration of Study:

1

1 weeks

weeks

When to Study:When to Study:

  Aug

  Aug

CCS

CCS Essential Essential Question Question Concept Concept Skills Skills Assessments Assessments Helpful Helpful Strategies Strategies and and ResourcesResources

A.SSE.1.a A.SSE.1.a A.SSE.1.b A.SSE.1.b

Why do we use

Why do we use

variables?

variables?

Variables and

Variables and

Expressions

Expressions

Write verbal Write verbal expressions for expressions for algebraic algebraic expressions expressions

A.N. Chap. 1 Quiz

A.N. Chap. 1 Quiz

A.N. Chap. 1 Quiz #2

A.N. Chap. 1 Quiz #2

A.N. Chap. 1 Quiz #3

A.N. Chap. 1 Quiz #3

McDougal Littell/ Houghton Mifflin

McDougal Littell/ Houghton Mifflin

 – – “Algebra:“Algebra: Stucture and Method Book 1” –

Stucture and Method Book 1” – Chapter 1Chapter 1

and

and

accompanying resources

accompanying resources

McDougal Littell/ Houghton Mifflin

McDougal Littell/ Houghton Mifflin

 – – “Algebra:“Algebra: Stucture and Method Book 1” –

Stucture and Method Book 1” – Chapter 2Chapter 2

and

and

accompanying resources

accompanying resources

Algeblocks Labs Algeblocks Labs o o Labs 3-1, 3-2, 3-3, 3-4, 3-5, 3-6Labs 3-1, 3-2, 3-3, 3-4, 3-5, 3-6 o o Labs 5-2, 5-3, 5-1, 5-4, 5-5, 5-6Labs 5-2, 5-3, 5-1, 5-4, 5-5, 5-6

Math Words Jigsaw Activity

Math Words Jigsaw Activity

Writing a Story Problem Project Rubric

Writing a Story Problem Project Rubric

Distributive Property

Distributive Property

(pdf)

(pdf)

Combining Like Terms

Combining Like Terms

(pdf)

(pdf)

Evaluating Expressions

Evaluating Expressions

(pdf)

(pdf)

Order of Operations

Order of Operations

(pdf)

(pdf)

Write algebraic Write algebraic expressions for expressions for verbal expressions verbal expressions

Why are “the order Why are “the order of operations” and of operations” and

other properties of

other properties of

mathematics

mathematics

important?

important?

Order of

Order of

Operations

Operations

Evaluate numerical Evaluate numerical and algebraic and algebraic expressions by expressions by using the order of using the order of operations operations

A.N. Chap. 2 Quiz

A.N. Chap. 2 Quiz

A.N. Chap. 2 Quiz #2

A.N. Chap. 2 Quiz #2

A.N. Chap. 2 Quiz #3

A.N. Chap. 2 Quiz #3

A.N. Chap. 2 Quiz #4

A.N. Chap. 2 Quiz #4

Chap. 1.7 Story Chap. 1.7 Story Problem Quiz Problem Quiz Quiz 2.4-2.6 Quiz 2.4-2.6 Quiz 2.6-2.8 Quiz 2.6-2.8

Distributive

Distributive

Property

Property

Use the Use the Distributive Distributive Property to Property to simplify and simplify and evaluate evaluate expressions expressions

Equations

Equations

Solve equationsSolve equations with two variables with two variables given a domain given a domain

Vocabulary: Variable, Expression, Order of Operations, Distributive Property, Equations, Domain Vocabulary: Variable, Expression, Order of Operations, Distributive Property, Equations, Domain

(5)

Unit

Unit 2:

2: Linear

Linear Equations

Equations

Approximate Duration of Study:

Approximate Duration of Study:

2

2 weeks

weeks

When to Study:When to Study:

 Aug/ Sept

 Aug/ Sept

CCS

CCS Essential Essential Question Question Concept Concept Skills Skills Assessments Assessments Helpful Helpful Strategies Strategies and and ResourcesResources

A.CED.

A.CED.

1

1

Why is advantageous

Why is advantageous

to use and solve

to use and solve

equations

equations

algebraically for

algebraically for

real-world problems?

world problems?

Writing

Writing

Equations

Equations

Translate sentences Translate sentences into equations into equations

McDougal Littell/ Houghton Mifflin

McDougal Littell/ Houghton Mifflin

 – – “Algebra:“Algebra: Stucture and Method Book 1” –

Stucture and Method Book 1” – Chapter 3Chapter 3

 and

 and

accompanying resources

accompanying resources

McDougal Littell/ Houghton Mifflin

McDougal Littell/ Houghton Mifflin

 – – “Algebra:“Algebra: Stucture and Method Book 1” –

Stucture and Method Book 1” – Chapter 1, Sec. 9Chapter 1, Sec. 9

(Absolute Value of

(Absolute Value of Expressions)

Expressions)

Algeblocks Labs Algeblocks Labs

o

o Labs 9-2, 9-3, 9-4, 9-5, 9-6, 9-7, 9-8Labs 9-2, 9-3, 9-4, 9-5, 9-6, 9-7, 9-8

Cost, Value, Income Worksheet

Cost, Value, Income Worksheet

Chapter 3 Review Worksheet

Chapter 3 Review Worksheet

One-Step Equations

One-Step Equations

(pdf)

(pdf)

Two-Step Equations

Two-Step Equations

(pdf)

(pdf)

Multi-Step Equations

Multi-Step Equations

(pdf)

(pdf)

Absolute Value Equations

Absolute Value Equations

(pdf)

(pdf)

A.REI.1

A.REI.1

A.REI.3

A.REI.3

One-step

One-step

equations

equations

Solve equations by Solve equations by using addition or using addition or subtraction subtraction Solve equations by Solve equations by using multiplication using multiplication or division or division

A.REI.1

A.REI.1

A.REI.3

A.REI.3

Multi-Step

Multi-Step

Equations

Equations

Solve equations Solve equations involving more than involving more than one operation one operation

A.REI.1

A.REI.1

A.REI.3

A.REI.3

Equations

Equations

with the

with the

variable on

variable on

each side

each side

Solve equations Solve equations with the variable on with the variable on each side each side Solve equations Solve equations involving grouping involving grouping symbols symbols

A.REI.1

A.REI.1

When

When would

would we

we

want to use the

want to use the

absolute value of

absolute value of

numbers?

numbers?

Absolute

Absolute

Value

Value

Equations

Equations

Evaluate absolute Evaluate absolute value expressions value expressions Solve absolute value Solve absolute value equations equations

A.CED.

A.CED.

4

4

Literal

Literal

Equations

Equations

Solve equations for Solve equations for given variables given variables

A.N. Chap. 3 Quiz

A.N. Chap. 3 Quiz

A.N. Chap. 3 Quiz #2

A.N. Chap. 3 Quiz #2

A.N. Chap. 3 Quiz #3

A.N. Chap. 3 Quiz #3

Chap. 3.3-4.1

Chap. 3.3-4.1

Vocabulary:

(6)

Unit 3:

Unit 3: Representing L

Representing Linear Equations

inear Equations

Approximate Duration of Study:

Approximate Duration of Study:

3

3

 – –

 4 weeks

 4 weeks

When to Study:When to Study:

  September

  September

CCS

CCS Essential Essential Question Question Concept Concept Skills Skills Assessments Assessments Helpful Helpful Strategies Strategies and and ResourcesResources

A.REI.10

A.REI.10

Graphing

Graphing

Linear

Linear

Equations

Equations

Identify linear equations, Identify linear equations, intercepts, and zeros intercepts, and zeros

McDougal Littell/ Houghton Mifflin

McDougal Littell/ Houghton Mifflin

 – – “Algebra:“Algebra:

Stucture

Stucture

and Method Book 1” –and Method Book 1” – Chapter 8Chapter 8

 and

 and

accompanying resources

accompanying resources

Graphing Lines Activity (Using Geogebra)

Graphing Lines Activity (Using Geogebra)

Graphing Lines Activity on Graphing Calculators

Graphing Lines Activity on Graphing Calculators

Rate of Change Activity

Rate of Change Activity

Plotting Points Activity (Excel)

Plotting Points Activity (Excel)

y=mx+b slider (GeoGebra)

y=mx+b slider (GeoGebra)

Line of best Fit Project

Line of best Fit Project

o

o

Chapter 8 Project Cover Sheet

Chapter 8 Project Cover Sheet

o

o

Sample Datasets for Ch. 8 Project.xlsx

Sample Datasets for Ch. 8 Project.xlsx

Slope From a Graph

Slope From a Graph

(pdf)

(pdf)

Slope From Two Points

Slope From Two Points

(pdf)

(pdf)

Slope From an Equation

Slope From an Equation

(pdf)

(pdf)

Graphing Lines in Slope-Intercept Form

Graphing Lines in Slope-Intercept Form

(pdf)

(pdf)

Graphing Lines in Standard Form

Graphing Lines in Standard Form

(pdf)

(pdf)

Writing Linear Equations

Writing Linear Equations

(pdf)

(pdf)

Graph linear equations Graph linear equations A.REI.10

A.REI.10

Solving linear

Solving linear

equations by

equations by

graphing

graphing

Solve equations by Solve equations by graphing and identifying graphing and identifying the root the root Estimate solutions to an Estimate solutions to an equation by graphing equation by graphing

How does the slope

How does the slope

affect direct

affect direct

variation?

variation?

Rate of Change

Rate of Change

and Slope

and Slope

Use rate of change to Use rate of change to solve problems solve problems Find the slope of a line Find the slope of a line

Direct

Direct

Variation

Variation

Write and graph direct Write and graph direct variation equations variation equations Solve problems involving Solve problems involving direct variation

direct variation A.REI.10

A.REI.10

What does the

What does the

slope-intercept

slope-intercept

form of an

form of an

equation tell us?

equation tell us?

Graphing

Graphing

Equations in

Equations in

Slope-Intercept

Slope-Intercept

Form

Form

Write and graph linear Write and graph linear equations in equations in slope-intercept form intercept form Model real-world data Model real-world data with equations in with equations in slope-intercept form

intercept form A.CED.2

A.CED.2

Writing

Writing

equations in

equations in

slope-intercept

slope-intercept

form

form

Write an equation of a Write an equation of a line in slope-intercept line in slope-intercept form given the slope and form given the slope and one point

one point

A.N. Chap. 8 Quiz

A.N. Chap. 8 Quiz

A.N. Chap. 8 Quiz #2

A.N. Chap. 8 Quiz #2

A.N. Chap. 8 Quiz #3

A.N. Chap. 8 Quiz #3

A.N. Chap. 8 Quiz #4

A.N. Chap. 8 Quiz #4

Write an equation of a Write an equation of a line in slope-intercept line in slope-intercept form given two points form given two points

(7)

Why

Why should

should we

we

know different

know different

forms of linear

forms of linear

equations?

equations?

Equations in

Equations in

different forms

different forms

Write equations of lines Write equations of lines in standard form in standard form Write equations of lines Write equations of lines in point-slope form in point-slope form Write linear equations in Write linear equations in different forms different forms

How do we write

How do we write

the equations of

the equations of

parallel and

parallel and

perpendicular

perpendicular

lines?

lines?

Parallel and

Parallel and

Perpendicular

Perpendicular

Lines

Lines

Write equations of lines Write equations of lines passing through a given passing through a given point and either parallel point and either parallel or perpendicular to a or perpendicular to a given line given line

A-CED.2

CED.2

A.REI.1

A.REI.1

0

0

How do we use

How do we use

real-world data to

real-world data to

write the equation

write the equation

of a line?

of a line?

Lines of Fit

Lines of Fit

Investigate relationshipsInvestigate relationships between quantities by between quantities by using points on scatter using points on scatter plots

plots

Use lines of fit to make Use lines of fit to make and evaluate predictions and evaluate predictions

Vocabulary: Linear Equation, x-intercept, y-intercept, Rate of

Vocabulary: Linear Equation, x-intercept, y-intercept, Rate of Change, Slope, Direct Variation, Slope-Intercept Form, Point-Slope Form, Change, Slope, Direct Variation, Slope-Intercept Form, Point-Slope Form, Parallel Lines,Parallel Lines, Perpendicul

(8)

Unit

Unit 4:

4: Linear

Linear Inequalities

Inequalities

Approximate Duration of Study:

Approximate Duration of Study:

2

2 weeks

weeks

When to Study:When to Study: CCS

CCS Essential Essential Question Question Concept Concept Skills Skills Assessments Assessments Helpful Helpful Strategies Strategies and and ResourcesResources

A.REI.3

A.REI.3

-How

-How are

are inequalit

inequalities

ies

and equations alike?

and equations alike?

How are they

How are they

different?

different?

Inequalities

Inequalities

Involving

Involving

Addition and

Addition and

Subtraction

Subtraction

Solving linear Solving linear inequalities by using inequalities by using addition and addition and subtraction subtraction

McDougal Littell/ Houghton Mifflin

McDougal Littell/ Houghton Mifflin

 – – “Algebra:“Algebra:

Stucture

Stucture

and Method Book 1” –and Method Book 1” – Chapter 10Chapter 10

 and

 and

accompanying resources

accompanying resources

HW Set #16

HW Set #16

HW Set #17

HW Set #17

Inequality Problem Solving

Inequality Problem Solving

Multi-Step Inequalities

Multi-Step Inequalities

(pdf)

(pdf)

One-Step Inequalities

One-Step Inequalities

(pdf)

(pdf)

Two-Step Inequalities

Two-Step Inequalities

(pdf)

(pdf)

Compound Inequalities

Compound Inequalities

(pdf)

(pdf)

Absolute Value Inequalities

Absolute Value Inequalities

(pdf)

(pdf)

Graphing Linear Inequalities

Graphing Linear Inequalities

(pdf)

(pdf)

Inequalities

Inequalities

Involving

Involving

Multiplication

Multiplication

and Division

and Division

Solving linear Solving linear inequalities by using inequalities by using multiplication and multiplication and division division

Solving

Solving

Multi-Step

Step

Inequalities

Inequalities

Solve linear Solve linear inequalities inequalities involving more than involving more than one operation one operation Solve inequalities Solve inequalities involving the involving the Distributive Prop. Distributive Prop.

How do the words

How do the words

“and” and “or” affect “and” and “or” affect

the outcome of an

the outcome of an

inequality?

inequality?

Solving

Solving

Compound

Compound

Inequalities

Inequalities

Solve compound Solve compound inequalities inequalities containing the word containing the word ““and” and”  and graph and graph their solution set their solution set Solve compound Solve compound inequalities inequalities containing the word containing the word ““or” or”  and graph their and graph their

solution set solution set

Inequalities

Inequalities

involving

involving

Absolute

Absolute

Value

Value

Solve and graph Solve and graph absolute value absolute value inequalities inequalities

A.REI.1

A.REI.1

2

2

Inequalities in

Inequalities in

Two Variables

Two Variables

Graph linear Graph linear inequalities on the inequalities on the coordinate plane coordinate plane

Chapter 10 Test

Chapter 10 Test

Chapter 10 Test(2)

Chapter 10 Test(2)

Chapter 10 Test(3)

Chapter 10 Test(3)

Solve inequalities by Solve inequalities by graphing graphing

Vocabulary: Inequality, Compound Inequality, Boundary,

(9)

Unit 5:

Unit 5: Systems of Linear

Systems of Linear Equations and

Equations and Inequalities

Inequalities

Approximate Duration of Study:

Approximate Duration of Study:

2

2 weeks

weeks

When to Study:When to Study:

  October/November

  October/November

CCS

CCS Essential Essential Question Question Concept Concept Skills Skills Assessments Assessments Helpful Helpful Strategies Strategies and and ResourcesResources

A.REI.6

A.REI.6

A.REI.1

A.REI.1

1

1

How might one

How might one

determine the most

determine the most

efficient method for

efficient method for

solving a system of

solving a system of

equations?

equations?

Graphing

Graphing

Systems of

Systems of

Equations

Equations

Determine the Determine the number of solutions number of solutions a system of a system of

equations has, if any equations has, if any

McDougal Littell/ Houghton Mifflin

McDougal Littell/ Houghton Mifflin

 – – “Algebra:“Algebra:

Stucture

Stucture

and Method Book 1” –and Method Book 1” – Chapter 9Chapter 9

 and

 and

accompanying resources

accompanying resources

Systems of Equations Graphing

Systems of Equations Graphing

(pdf)

(pdf)

Systems of Equations Substitution

Systems of Equations Substitution

(pdf)

(pdf)

Systems of Equations Elimination

Systems of Equations Elimination

(pdf)

(pdf)

Systems of Equations Word

Systems of Equations Word

Problems

Problems

(pdf)

(pdf)

Solve systems of Solve systems of linear equations by linear equations by graphing graphing

A.REI.5

A.REI.5

A.REI.6

A.REI.6

Substitution

Substitution

Solve systems ofSolve systems of equations by using equations by using substitution substitution

A.REI.5

A.REI.5

A.REI.6

A.REI.6

Elimination

Elimination

Solve systems ofSolve systems of equations by using equations by using elimination with elimination with addition addition Solve systems of Solve systems of equations by using equations by using elimination with elimination with subtraction subtraction systems of systems of equations by using equations by using elimination with elimination with multiplication multiplication

A.REI.6

Applying

A.REI.6

Applying

Systems of

Systems of

Linear

Linear

Equations

Equations

Determine the best Determine the best method for solving method for solving systems of systems of equations equations

A.N. Chap. 9 Quiz #1

A.N. Chap. 9 Quiz #1

A.N. Chap. 9 Quiz #2

A.N. Chap. 9 Quiz #2

A.N. Chap. 9 Quiz #3

A.N. Chap. 9 Quiz #3

A.N. Chap. 9 Quiz #4

A.N. Chap. 9 Quiz #4

Apply systems of Apply systems of equations to solve equations to solve real-world problems real-world problems

A.REI.8

A.REI.8

Why

Why would

would using

using a

a

matrix to solve a

matrix to solve a

system of equations

system of equations

be useful?

be useful?

Matrix

Matrix

equations

equations

Represent and solve Represent and solve systems of systems of equations in equations in reduced-row reduced-row echelon form echelon form

Vocabulary: System of Equations, Consistent, Independent, Dependent,

Vocabulary: System of Equations, Consistent, Independent, Dependent, Inconsistent, Substitution, EliminationInconsistent, Substitution, Elimination, Matrix, , Matrix, Augmented Matrix, RowAugmented Matrix, Row Reduction

(10)

Unit

Unit 6:

6: Polynomials

Polynomials

Approximate Duration of Study:

Approximate Duration of Study:

3

3

 – –

 4 weeks

 4 weeks

When to Study:When to Study:

  November

  November

CCS

CCS Essential Essential Question Question Concept Concept Skills Skills Assessments Assessments Helpful Helpful Strategies Strategies and and ResourcesResources

A.APR.1

A.APR.1

How might we

How might we

classify

classify

polynomials?

polynomials?

Multiplying

Multiplying

Monomials

Monomials

Base and Exponent

Base and Exponent

McDougal Littell/ Houghton Mifflin

McDougal Littell/ Houghton Mifflin

 – – “Algebra:“Algebra: Stucture and Method Book 1” –

Stucture and Method Book 1” – Chapter 4Chapter 4

 and

 and

accompanying resources

accompanying resources

Algeblocks Labs Algeblocks Labs o o

Labs 6-1, 6-2, 6-3

Labs 6-1, 6-2, 6-3

Multiplying Polynomials by Monomials

Multiplying Polynomials by Monomials

Exponents Intro

Exponents Intro

PowerPoin

PowerPoin

t

t

More Properties of Exponents

More Properties of Exponents

(pdf)

(pdf)

Naming

Naming

Polynomial

Polynomial

s

s

(pdf)

(pdf)

Adding &

Adding &

Subtracting Polynomials

Subtracting Polynomials

(pdf)

(pdf)

Multiplying

Multiplying

Polynomial

Polynomial

s

s

(pdf)

(pdf)

Multiplying Special Cases

Multiplying Special Cases

(pdf)

(pdf)

Properties of Exponents

Properties of Exponents

(pdf)

(pdf)

Power of product Power of product Power of a power Power of a power A.APR.1

A.APR.1

Dividing

Dividing

Monomials

Monomials

Find the quotient of two Find the quotient of two monomials

monomials

Simplify expressions Simplify expressions containing negative and containing negative and zero exponents zero exponents

Polynomial

Polynomial

Identification

Identification

Find the degree of a Find the degree of a polynomial polynomial Write polynomials in Write polynomials in standard form standard form A.APR.1

A.APR.1

How can we use

How can we use

the polynomial

the polynomial

operations of

operations of

addition,

addition,

subtraction, and

subtraction, and

multiplicatio

multiplication

n in

in

real life?

real life?

Adding/

Adding/

Subtracting

Subtracting

Polynomials

Polynomials

Identify “like terms”

Identify “like terms” Quiz 4.3-4.4Quiz 4.3-4.4

Add/ subtract Add/ subtract polynomials polynomials A.APR.1

A.APR.1

Multiplying a

Multiplying a

Polynomial by

Polynomial by

a Monomial

a Monomial

Use the Distributive Use the Distributive Property to multiply a Property to multiply a monomial by a monomial by a polynomial polynomial Quiz 4.6-4.8 Quiz 4.6-4.8 A.APR.1

A.APR.1

Multiplying

Multiplying

Polynomials

Polynomials

Use the Distributive Use the Distributive Property to multiply a Property to multiply a polynomial by another polynomial by another polynomial polynomial

Special

Special

Products

Products

Find the squares of sums Find the squares of sums and differences

and differences

A.N. Chap. 4 Quiz #1

A.N. Chap. 4 Quiz #1

A.N. Chap. 4 Quiz #2

A.N. Chap. 4 Quiz #2

A.N. Chap. 4 Quiz #3

A.N. Chap. 4 Quiz #3

A.N. Chap. 4 Quiz #4

A.N. Chap. 4 Quiz #4

Find the product of a Find the product of a sum and difference sum and difference

Vocabulary: Monom

Vocabulary: Monomial, Constant, Zero Exponents, Negative Exponents, Like Terms, Polynomial, Binomial, Trinomial, Degree of a ial, Constant, Zero Exponents, Negative Exponents, Like Terms, Polynomial, Binomial, Trinomial, Degree of a MonomialMonomial, Degree of, Degree of a Polynomial, Standard Form of a

(11)

Unit 7:

Unit 7: Factoring and

Factoring and Quadratic Equations

Quadratic Equations

Approximate Duration of Study:

Approximate Duration of Study:

4

4

 – –

 5 weeks

 5 weeks

When to Study:When to Study:

  January

  January

CCS

CCS Essential Essential Question Question Concept Concept Skills Skills Assessments Assessments Helpful Helpful Strategies Strategies and and ResourcesResources

How does finding

How does finding

greatest common

greatest common

factors in factoring

factors in factoring

polynomials?

polynomials?

Factoring

Factoring

Monomials

Monomials

Write a monomial in Write a monomial in factored form factored form

Quiz 5.1-5.3

Quiz 5.1-5.3

McDougal Littell/ Houghton Mifflin

McDougal Littell/ Houghton Mifflin

 – – “Algebra:“Algebra:

Stucture

Stucture

and Method Book 1” –and Method Book 1” – Chapter 5Chapter 5

 and

 and

accompanying resources

accompanying resources

HW Set #1

HW Set #1

HW Set #2

HW Set #2

HW Set #3

HW Set #3

HW Set #4

HW Set #4

HW Set #5

HW Set #5

HW Set #6

HW Set #6

HW Set #7

HW Set #7

Chapter 5 Review

Chapter 5 Review

Factoring Review Worksheet

Factoring Review Worksheet

Chapter 5 Practice Test

Chapter 5 Practice Test

Factoring 1

Factoring 1

(pdf)

(pdf)

Factoring 2

Factoring 2

(pdf)

(pdf)

Factoring Special Cases

Factoring Special Cases

(pdf)

(pdf)

Factoring By Grouping

Factoring By Grouping

(pdf)

(pdf)

Solving Quadratic Factoring

Solving Quadratic Factoring

(pdf)

(pdf)

Complete the Square

Complete the Square

(pdf)

(pdf)

Solving Completing Square

Solving Completing Square

(pdf)

(pdf)

Quadratic Formula

Quadratic Formula

(pdf)

(pdf)

Solving Quadratic Roots

Solving Quadratic Roots

(pdf)

(pdf)

SmartBoard Presentations SmartBoard Presentations 5.1- 5.3.notebook 5.1- 5.3.notebook 5.4-5.7.notebook 5.4-5.7.notebook

Find the Greatest Find the Greatest Common Factors (GCF) Common Factors (GCF) of monomials of monomials

Monomial

Monomial

Factors of

Factors of

Polynomials

Polynomials

Divide out the GCF of Divide out the GCF of the terms the terms Factor a polynomial by Factor a polynomial by grouping grouping

Zero Product

Zero Product

Property

Property

Solve a quadratic Solve a quadratic equation using the zero equation using the zero product property product property

Quiz 5.4-5.6

Quiz 5.4-5.6

A.REI.2 A.REI.2 A.REI.4b A.REI.4b A.SSE.3a A.SSE.3a

Why do we factor

Why do we factor

polynomials?

polynomials?

Factoring

Factoring

Quadratic

Quadratic

Equations

Equations

Factor quadratic Factor quadratic equations of the form: equations of the form:

0 0 2 2 c c bx bx  x  x Factor quadratic Factor quadratic equations of the form: equations of the form:

0 0 2 2 c c bx bx ax ax A-REI.4b A-REI.4b A-REI.2 A-REI.2

How can we

How can we

identify a

identify a

difference of

difference of

squares?

squares?

Special

Special

Products

Products

Factor quadratic Factor quadratic equations that are the equations that are the differences of squares differences of squares Factor quadratic Factor quadratic equations that are equations that are perfect squares perfect squares A-REI.4b

A-REI.4b

When might it be a

When might it be a

good idea to not

good idea to not

factor and use a

factor and use a

different method

different method

for solving

for solving

quadratic

quadratic

equations?

equations?

Square Root

Square Root

Property

Property

Solve a quadratic Solve a quadratic equation in the form equation in the form

n n  x  x22 F.IF.7a F.IF.7a F.IF.8a F.IF.8a

Solving

Solving

Quadratic

Quadratic

Equations by

Equations by

Analyze the Analyze the characteristics of the characteristics of the graphs of quadratic graphs of quadratic equations equations

(12)

 

Graphing

 

Graphing

Estimate solutions ofEstimate solutions of quadratic equations by quadratic equations by graphing graphing A-REI.4b A-REI.4b A-REI.4a A-REI.4a

Completing the

Completing the

Square

Square

Solve quadratic Solve quadratic equations by completing equations by completing the square the square A-REI.4b

A-REI.4b

Quadratic

Quadratic

Formula

Formula

Use the Discriminant to Use the Discriminant to determine the number determine the number of solutions to a of solutions to a quadratic equations quadratic equations

Chapter 5d Test

Chapter 5d Test

Solve quadratic Solve quadratic equations by using the equations by using the Quadratic Formula Quadratic Formula

Vocabulary: Vocabulary:

(13)

Unit

Unit 8:

8: Rational E

Rational Expressions

xpressions

Approximate Duration of Study:

Approximate Duration of Study:

3

3

 – –

 4 weeks

 4 weeks

When to Study:When to Study:

  February

  February

CCS

CCS Essential Essential Question Question Concept Concept Skills Skills Assessments Assessments Helpful Helpful Strategies Strategies and and ResourcesResources

A.CED.3

A.CED.3

How is factoring

How is factoring

used to simplify a

used to simplify a

rational rational expression expression

?

?

Simplifying

Simplifying

Rational

Rational

Expression

Expression

Simplify rational Simplify rational expressions using expressions using common factors to common factors to reduce reduce

Quiz 6.1

Quiz 6.1

Ch 6.1 Quiz

Ch 6.1 Quiz

Ch 6.1-6.2 Quiz

Ch 6.1-6.2 Quiz

McDougal Littell/ Houghton Mifflin

McDougal Littell/ Houghton Mifflin

 – – “Algebra:“Algebra: Stucture and Method Book 1” –

Stucture and Method Book 1” – Chapter 6Chapter 6

 and

 and

accompanying resources

accompanying resources

HW Set #8 (Hanner)

HW Set #8 (Hanner)

HW Set #9 (Hanner)

HW Set #9 (Hanner)

HW Set #10 (Hanner)

HW Set #10 (Hanner)

Fractions Review (Hanner)

Fractions Review (Hanner)

Adding Fractions Worksheet (Hanner)

Adding Fractions Worksheet (Hanner)

Chapter 6 Review

Chapter 6 Review

Simplifying Rational Expressions

Simplifying Rational Expressions

(pdf)

(pdf)

Multiplying Rational Expressions

Multiplying Rational Expressions

(pdf)

(pdf)

Adding & Subtracting Rational Expressions

Adding & Subtracting Rational Expressions

(pdf)

(pdf)

Dividing Rational

Dividing Rational

Expressions

Expressions

(pdf)

(pdf)

Dividing

Dividing

Polynomial

Polynomial

s

s

(pdf)

(pdf)

SmartBoard SmartBoard

6.1 - 6.3.notebook

6.1 - 6.3.notebook

6.4 - 6.5.notebook

6.4 - 6.5.notebook

Identify excluded values Identify excluded values that would make the that would make the expression impossible expression impossible (i.e. the denominator (i.e. the denominator equal to 0) equal to 0) A.APR.6 A.APR.6 A.APR.7 A.APR.7

How are

How are

reciprocals used to

reciprocals used to

divide rational

divide rational

expressions?

expressions?

Multiplying and

Multiplying and

Dividing

Dividing

Rational

Rational

Expressions

Expressions

Multiply rational Multiply rational expressions, as we expressions, as we would common would common fractions, and reduce by fractions, and reduce by common factors common factors

Ch 6.2-6.3 Quiz

Ch 6.2-6.3 Quiz

Ch 6.3-6.4 Quiz

Ch 6.3-6.4 Quiz

Ch 6.7 Quiz

Ch 6.7 Quiz

Divide rational Divide rational

expressions and reduce expressions and reduce by common factors by common factors Divide rational Divide rational expressions using expressions using polynomial long division polynomial long division A.APR.7

A.APR.7

How do we

How do we

add/subtract

add/subtract

fractions?

fractions?

Adding and

Adding and

Subtracting

Subtracting

Rational

Rational

Expressions

Expressions

Determine the Least Determine the Least Common Denominator Common Denominator of two or more fractions of two or more fractions Add/ subtract rational Add/ subtract rational expression with and expression with and without common without common denominators denominators A.APR.7

A.APR.7

Mixed

Mixed

Expressions

Expressions

Simplify mixed Simplify mixed expressions expressions

Chapter 6 Test

Chapter 6 Test

Chapter 6 Test

Chapter 6 Test

#2

#2

Simplify and use Simplify and use complex fractions to complex fractions to solve problems solve problems Vocabulary: Vocabulary:

(14)

Unit

Unit 9:

9: Applying Fr

Applying Fractions

actions

Approximate Duration of Study:

Approximate Duration of Study:

3

3 weeks

weeks

When to Study:When to Study:

  March

  March

CCS

CCS Essential Essential Question Question Concept Concept Skills Skills Assessments Assessments Helpful Helpful Strategies Strategies and and ResourcesResources

A.CED.1

A.CED.1

How can

How can

proportions be

proportions be

used to solve

used to solve

problems?

problems?

Ratios and

Ratios and

Proportions

Proportions

Setup and simplify ratios

Setup and simplify ratios Quiz 7.1Quiz 7.1

Quiz 7.1-7.3

Quiz 7.1-7.3

McDougal Littell/ Houghton Mifflin

McDougal Littell/ Houghton Mifflin

 – – “Algebra:“Algebra: Stucture and Method Book 1” –

Stucture and Method Book 1” – Chapter 7Chapter 7

 and

 and

accompanying resources

accompanying resources

HW Set 11

HW Set 11

HW Set 12

HW Set 12

HW Set 13

HW Set 13

HW Set 14

HW Set 14

HW Set 15

HW Set 15

Proportion Worksheet

Proportion Worksheet

Proportion Problem Solving

Proportion Problem Solving

More Proportion Problem Solving

More Proportion Problem Solving

Mixture and

Mixture and

Work Problems

Work Problems

Chapter 7 Review

Chapter 7 Review

Solving Proportions

Solving Proportions

(pdf)

(pdf)

Percent Problems

Percent Problems

(pdf)

(pdf)

Percent of Change

Percent of Change

(pdf)

(pdf)

Mixture Word Problems

Mixture Word Problems

(pdf)

(pdf)

Work Word Problems

Work Word Problems

(pdf)

(pdf)

Writing Scientific Notation

Writing Scientific Notation

(pdf)

(pdf)

Operations Scientific Notation

Operations Scientific Notation

(pdf)

(pdf)

SmartBoard Lessons

SmartBoard Lessons

7.1-7.3.notebook

7.1-7.3.notebook

7.4-7.6.notebook

7.4-7.6.notebook

Setup and solve Setup and solve proportions proportions A.CED.1

A.CED.1

How are percents

How are percents

and fractions

and fractions

related?

related?

Percents

Percents

Write a percent inWrite a percent in decimal and fractional decimal and fractional form

form

Setup and solve percent Setup and solve percent proportions

proportions Find the percent of Find the percent of change and solve change and solve problems involving problems involving percent of change percent of change A.APR.1 A.APR.1 A.REI.2 A.REI.2

Fractional

Fractional

Equations

Equations

Solve equations with Solve equations with fractional coefficients fractional coefficients Solve equations Solve equations

involving variables in the involving variables in the denominator of fractions denominator of fractions Setup and solve

Setup and solve problems involving problems involving mixture

mixture A.SSE.3c

A.SSE.3c

How is a problem

How is a problem

simplified with a

simplified with a

negative

negative

exponent?

exponent?

Negative

Negative

Exponents

Exponents

Simplify an expression Simplify an expression involving negative involving negative exponents exponents Chapter 7 Test Chapter 7 Test Chapter 7 Test #2 Chapter 7 Test #2 Simplify expressions in Simplify expressions in scientific notation scientific notation

Vocabulary: Ratio, Proportion, Percent, Percent of

(15)

Unit

Unit 10:

10: Radical

Radical Functions

Functions

Approximate Duration of Study:

Approximate Duration of Study:

3

3 weeks

weeks

When to Study:When to Study:

  April/May

  April/May

CCS Essential CCS Essential Question Question

Concept

Concept Skills Skills Assessments Assessments Helpful Helpful Strategies Strategies and and ResourcesResources

What makes a

What makes a

number a rational

number a rational

number?

number?

Properties of

Properties of

Rational

Rational

Numbers

Numbers

Identify a rational Identify a rational number number Quiz 11.1 - 11.3

Quiz 11.1 - 11.3

McDougal Littell/ Houghton Mifflin

McDougal Littell/ Houghton Mifflin

 – – “Algebra:“Algebra: Stucture and Method Book 1” –

Stucture and Method Book 1” – Chapter 11Chapter 11

 and

 and

accompanying resources

accompanying resources

Study Guide for 11-5 to 11-6

Study Guide for 11-5 to 11-6

Study Guide for 11-7 to 11-9

Study Guide for 11-7 to 11-9

Radical Equations 1

Radical Equations 1

(pdf)

(pdf)

Radical Equations 2

Radical Equations 2

(pdf)

(pdf)

Simplifying Radicals

Simplifying Radicals

(pdf)

(pdf)

Adding & Subtracting Radical Expressions

Adding & Subtracting Radical Expressions

(pdf)

(pdf)

Multiplying Radical Expressions

Multiplying Radical Expressions

(pdf)

(pdf)

Dividing Radical Expressions

Dividing Radical Expressions

(pdf)

(pdf)

HW Set #19

HW Set #19

HW Set #20

HW Set #20

SmartBoard Presentations

SmartBoard Presentations

11.1 - 11.3

11.1 - 11.3

Convert a number in Convert a number in fractional form to fractional form to decimal form and vice decimal form and vice versa

versa A.SSE.3C

A.SSE.3C

What are your

What are your

essential rules

essential rules

when performing

when performing

basic operations

basic operations

and

and simplificatio

simplification

n

of

of

square rootssquare roots

?

?

Rational and

Rational and

Irrational

Irrational

Square Roots

Square Roots

Find the value of a Find the value of a rational square root rational square root

Quiz 11.4 Quiz 11.4 Quiz 11.5 Quiz 11.5 – – 11.6 11.6 Quiz 11.1 - 11.3 Quiz 11.1 - 11.3 Quiz 11.1 Quiz 11.1 – –11.311.3 (2) (2) Quiz 11.1-11.3 Quiz 11.1-11.3 (3) (3) Simplify an irrational Simplify an irrational square root expression square root expression Simplify a square root Simplify a square root expression involving expression involving variables

variables A.SSE.2

A.SSE.2

Operations on

Operations on

Square Roots

Square Roots

Multiply and divide Multiply and divide square root expression square root expression

Quiz 11.7-11.9 Quiz 11.7-11.9 Use conjugates to Use conjugates to rationalize the rationalize the denominator denominator

Add and subtract square Add and subtract square root expressions root expressions A.REI.2

A.REI.2

Radical

Radical

Equations

Equations

Use the Power Property Use the Power Property of Equality to solve of Equality to solve equations

equations

Checking for extraneous Checking for extraneous solutions solutions G.SRT.8 G.SRT.8 Pythagorean’sPythagorean’s

Theorem

Theorem

Use Pythagorean’s Use Pythagorean’s Theorem to solve Theorem to solve problem involving right problem involving right triangles

triangles

Vocabulary: Vocabulary:

References

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