Algebra 1. Curriculum Map

Algebra 1

Table of Contents

Unit 1: Expressions and Equations

Unit 6: Polynomials

Unit 2: Linear Equations

Unit 7: Factoring and Quadratics

Unit 3: Representing Linear Equations

Unit 8: Rational Equations

Unit 4: Linear Inequalities

Unit 9: Applying Fractions

Purpose of a Curriculum Map

The purpose of a curriculum map is to document the intended

relationship between components of the curriculum. Used as an analysis

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

for unnecessary redundancies, inconsistencies, misalignments, weaknesses

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

standards and state-mandated curriculum and the taught and learned

Unit 1: Expressions & Equations

Approximate Duration of Study: 1 weeks

When to Study: Aug

CCS

Essential Question

Concept

Skills

Assessments

Helpful Strategies and Resources

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

Why do we use

variables?

Variables and

Expressions

Write verbal expressions for algebraic expressions

A.N. Chap. 1 Quiz A.N. Chap. 1 Quiz #2 A.N. Chap. 1 Quiz #3

McDougal Littell/ Houghton Mifflin – “Algebra:

Stucture and Method Book 1” – Chapter 1 and

accompanying resources

McDougal Littell/ Houghton Mifflin – “Algebra:

Stucture and Method Book 1” – Chapter 2 and

accompanying resources

Algeblocks Labs

o

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

o

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

Math Words Jigsaw Activity

Writing a Story Problem Project Rubric

Distributive Property (pdf)

Combining Like Terms (pdf)

Evaluating Expressions (pdf)

Order of Operations (pdf)

Write algebraic expressions for verbal expressions

Why are “the order

of operations” and

other properties of

mathematics

important?

Order of

Operations

Evaluate numerical and algebraic expressions by using the order of operations

A.N. Chap. 2 Quiz A.N. Chap. 2 Quiz #2 A.N. Chap. 2 Quiz #3 A.N. Chap. 2 Quiz #4 Chap. 1.7 Story Problem Quiz Quiz 2.4-2.6 Quiz 2.6-2.8

Distributive

Property

Use the Distributive Property to simplify and evaluate expressions

Equations

Solve equations with two variables given a domain

Unit 2: Linear Equations

Approximate Duration of Study: 2 weeks

When to Study: Aug/ Sept

CCS

Essential Question

Concept

Skills

Assessments

Helpful Strategies and Resources

A.CED.

1

Why is advantageous

to use and solve

equations

algebraically for

real-world problems?

Writing

Equations

Translate sentences

into equations

McDougal Littell/ Houghton Mifflin – “Algebra:

_{Stucture and Method Book 1” – Chapter 3 and}

accompanying resources

McDougal Littell/ Houghton Mifflin – “Algebra:

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

(Absolute Value of Expressions)

Algeblocks Labs

o

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

Cost, Value, Income Worksheet

Chapter 3 Review Worksheet

One-Step Equations (pdf)

Two-Step Equations (pdf)

Multi-Step Equations (pdf)

Absolute Value Equations (pdf)

A.REI.1

A.REI.3

One-step

equations

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

A.REI.1

A.REI.3

Multi-Step

Equations

Solve equations involving more than one operation

A.REI.1

A.REI.3

Equations

with the

variable on

each side

Solve equations with the variable on each side

Solve equations involving grouping symbols

A.REI.1 When would we

want to use the

absolute value of

numbers?

Absolute

Value

Equations

Evaluate absolute value expressions Solve absolute value equations

A.CED.

4

Literal

Equations

Solve equations for given variables

A.N. Chap. 3 Quiz A.N. Chap. 3 Quiz #2 A.N. Chap. 3 Quiz #3 Chap. 3.3-4.1

Unit 3: Representing Linear Equations

Approximate Duration of Study: 3 – 4 weeks

When to Study: September

CCS

Essential Question

Concept

Skills

Assessments

Helpful Strategies and Resources

A.REI.10

Graphing

Linear

Equations

Identify linear equations,

intercepts, and zeros

McDougal Littell/ Houghton Mifflin – “Algebra:

_{Stucture and Method Book 1” – Chapter 8 and}

accompanying resources

Graphing Lines Activity (Using Geogebra)

Graphing Lines Activity on Graphing Calculators

Rate of Change Activity

Plotting Points Activity (Excel)

y=mx+b slider (GeoGebra)

Line of best Fit Project

o

Chapter 8 Project Cover Sheet

o

Sample Datasets for Ch. 8 Project.xlsx

Slope From a Graph (pdf)

Slope From Two Points (pdf)

Slope From an Equation (pdf)

Graphing Lines in Slope-Intercept Form (pdf)

Graphing Lines in Standard Form (pdf)

Writing Linear Equations (pdf)

Graph linear equations A.REI.10

Solving linear

equations by

graphing

Solve equations by graphing and identifying the root

Estimate solutions to an equation by graphing

How does the slope

affect direct

variation?

Rate of Change

and Slope

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

Direct

Variation

Write and graph direct variation equations Solve problems involving direct variation

A.REI.10

What does the

slope-intercept

form of an

equation tell us?

Graphing

Equations in

Slope-Intercept

Form

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

A.CED.2

Writing

equations in

slope-intercept

form

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

A.N. Chap. 8 Quiz A.N. Chap. 8 Quiz #2 A.N. Chap. 8 Quiz #3 A.N. Chap. 8 Quiz #4

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

Why should we

know different

forms of linear

equations?

Equations in

different forms

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

How do we write

the equations of

parallel and

perpendicular

lines?

Parallel and

Perpendicular

Lines

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

A-CED.2

A.REI.1

0

How do we use

real-world data to

write the equation

of a line?

Lines of Fit

Investigate relationships between quantities by using points on scatter plots

Use lines of fit to make and evaluate predictions

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

Perpendicular Lines, Scatter Plot, Line of Fit

Unit 4: Linear Inequalities

Approximate Duration of Study: 2 weeks

When to Study:

CCS

Essential Question

Concept

Skills

Assessments

Helpful Strategies and Resources

A.REI.3

-How are inequalities

and equations alike?

How are they

different?

Inequalities

Involving

Addition and

Subtraction

Solving linear inequalities by using addition and subtraction

McDougal Littell/ Houghton Mifflin – “Algebra:

Stucture and Method Book 1” – Chapter 10 and

accompanying resources

HW Set #16

HW Set #17

Inequality Problem Solving

Multi-Step Inequalities (pdf)

One-Step Inequalities (pdf)

Two-Step Inequalities (pdf)

Compound Inequalities (pdf)

Absolute Value Inequalities (pdf)

Graphing Linear Inequalities (pdf)

Inequalities

Involving

Multiplication

and Division

Solving linear inequalities by using multiplication and division

Solving

Multi-Step

Inequalities

Solve linear inequalities

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

How do the words

“and” and “or” affect

the outcome of an

inequality?

Solving

Compound

Inequalities

Solve compound inequalities

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

containing the word “or” and graph their solution set

Inequalities

involving

Absolute

Value

Solve and graph absolute value inequalities

A.REI.1

2

Inequalities in

Two Variables

Graph linear inequalities on the coordinate plane

Chapter 10 Test

Chapter 10 Test(2)

Chapter 10 Test(3)

Solve inequalities by graphing

Unit 5: Systems of Linear Equations and Inequalities

Approximate Duration of Study: 2 weeks

When to Study: October/November

CCS

Essential Question

Concept

Skills

Assessments

Helpful Strategies and Resources

A.REI.6

A.REI.1

1

How might one

determine the most

efficient method for

solving a system of

equations?

Graphing

Systems of

Equations

Determine the number of solutions a system of

equations has, if any

McDougal Littell/ Houghton Mifflin – “Algebra:

Stucture and Method Book 1” – Chapter 9 and

accompanying resources

Systems of Equations Graphing (pdf)

Systems of Equations Substitution (pdf)

Systems of Equations Elimination (pdf)

Systems of Equations Word Problems (pdf)

Solve systems of linear equations by graphing

A.REI.5

A.REI.6

Substitution

Solve systems of equations by using substitution

A.REI.5

A.REI.6

Elimination

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

A.REI.6

Applying

Systems of

Linear

Equations

Determine the best method for solving systems of equations

A.N. Chap. 9 Quiz #1 A.N. Chap. 9 Quiz #2 A.N. Chap. 9 Quiz #3 A.N. Chap. 9 Quiz #4

Apply systems of equations to solve real-world problems

A.REI.8

Why would using a

matrix to solve a

system of equations

be useful?

Matrix

equations

Represent and solve systems of

equations in reduced-row echelon form

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

Reduction

Unit 6: Polynomials

Approximate Duration of Study: 3 – 4 weeks

When to Study: November

CCS

Essential Question

Concept

Skills

Assessments

Helpful Strategies and Resources

A.APR.1

How might we

classify

polynomials?

Multiplying

Monomials

Base and Exponent

_{McDougal Littell/ Houghton Mifflin – “Algebra:}

Stucture and Method Book 1” – Chapter 4 and

accompanying resources

Algeblocks Labs

o

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

Multiplying Polynomials by Monomials

Exponents Intro PowerPoint

More Properties of Exponents (pdf)

Naming Polynomials (pdf)

Adding & Subtracting Polynomials (pdf)

Multiplying Polynomials (pdf)

Multiplying Special Cases (pdf)

Properties of Exponents (pdf)

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

Dividing

Monomials

Find the quotient of two monomials

Simplify expressions containing negative and zero exponents

Polynomial

Identification

Find the degree of a polynomial

Write polynomials in standard form A.APR.1

How can we use

the polynomial

operations of

addition,

subtraction, and

multiplication in

real life?

Adding/

Subtracting

Polynomials

Identify “like terms” Quiz 4.3-4.4

Add/ subtract polynomials A.APR.1

Multiplying a

Polynomial by

a Monomial

Use the Distributive Property to multiply a monomial by a polynomial

Quiz 4.6-4.8

A.APR.1

Multiplying

Polynomials

Use the Distributive Property to multiply a polynomial by another polynomial

Special

Products

Find the squares of sums and differences

A.N. Chap. 4 Quiz #1 A.N. Chap. 4 Quiz #2 A.N. Chap. 4 Quiz #3 A.N. Chap. 4 Quiz #4

Find the product of a sum and difference

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

a Polynomial, Standard Form of a Polynomial, Leading Coefficient, Quadratic Expression

Unit 7: Factoring and Quadratic Equations

Approximate Duration of Study: 4 – 5 weeks

When to Study: January

CCS

Essential Question

Concept

Skills

Assessments

Helpful Strategies and Resources

How does finding

greatest common

factors in factoring

polynomials?

Factoring

Monomials

Write a monomial in

factored form

Quiz 5.1-5.3

McDougal Littell/ Houghton Mifflin – “Algebra:

_{Stucture and Method Book 1” – Chapter 5 and}

accompanying resources

HW Set #1

HW Set #2

HW Set #3

HW Set #4

HW Set #5

HW Set #6

HW Set #7

Chapter 5 Review

Factoring Review Worksheet

Chapter 5 Practice Test

Factoring 1 (pdf)

Factoring 2 (pdf)

Factoring Special Cases (pdf)

Factoring By Grouping (pdf)

Solving Quadratic Factoring (pdf)

Complete the Square (pdf)

Solving Completing Square (pdf)

Quadratic Formula (pdf)

Solving Quadratic Roots (pdf)

SmartBoard Presentations

5.1- 5.3.notebook

5.4-5.7.notebook

Find the Greatest Common Factors (GCF) of monomials

Monomial

Factors of

Polynomials

Divide out the GCF of the terms

Factor a polynomial by grouping

Zero Product

Property

Solve a quadratic equation using the zero product property

Quiz 5.4-5.6

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

Why do we factor

polynomials?

Factoring

Quadratic

Equations

Factor quadratic equations of the form:

0

2

c

bx

x

Factor quadratic equations of the form:

0

2

c

bx

ax

A-REI.4b A-REI.2

How can we

identify a

difference of

squares?

Special

Products

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

When might it be a

good idea to not

factor and use a

different method

for solving

quadratic

equations?

Square Root

Property

Solve a quadratic equation in the form

n

x

2 F.IF.7a F.IF.8a

Solving

Quadratic

Equations by

Analyze the

characteristics of the graphs of quadratic equations

Graphing

Estimate solutions of quadratic equations by graphing

A-REI.4b A-REI.4a

Completing the

Square

Solve quadratic

equations by completing the square

A-REI.4b

Quadratic

Formula

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

Chapter 5d Test

Solve quadratic equations by using the Quadratic Formula

Unit 8: Rational Expressions

Approximate Duration of Study: 3 – 4 weeks

When to Study: February

CCS

Essential Question

Concept

Skills

Assessments

Helpful Strategies and Resources

A.CED.3

How is factoring

used to simplify a

rational

expression

?

Simplifying

Rational

Expression

Simplify rational expressions using common factors to reduce

Quiz 6.1

Ch 6.1 Quiz

Ch 6.1-6.2 Quiz

McDougal Littell/ Houghton Mifflin – “Algebra:

Stucture and Method Book 1” – Chapter 6 and

accompanying resources

HW Set #8 (Hanner)

HW Set #9 (Hanner)

HW Set #10 (Hanner)

Fractions Review (Hanner)

Adding Fractions Worksheet (Hanner)

Chapter 6 Review

Simplifying Rational Expressions (pdf)

Multiplying Rational Expressions (pdf)

Adding & Subtracting Rational Expressions (pdf)

Dividing Rational Expressions (pdf)

Dividing Polynomials (pdf)

SmartBoard

6.1 - 6.3.notebook

6.4 - 6.5.notebook

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

A.APR.6 A.APR.7

How are

reciprocals used to

divide rational

expressions?

Multiplying and

Dividing

Rational

Expressions

Multiply rational expressions, as we would common

fractions, and reduce by common factors

Ch 6.2-6.3 Quiz

Ch 6.3-6.4 Quiz

Ch 6.7 Quiz

Divide rational

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

How do we

add/subtract

fractions?

Adding and

Subtracting

Rational

Expressions

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

Mixed

Expressions

Simplify mixed

expressions

Chapter 6 Test

_{Chapter 6 Test}

#2

Simplify and use complex fractions to solve problems

Unit 9: Applying Fractions

Approximate Duration of Study: 3 weeks

When to Study: March

CCS

Essential Question

Concept

Skills

Assessments

Helpful Strategies and Resources

A.CED.1

How can

proportions be

used to solve

problems?

Ratios and

Proportions

Setup and simplify ratios Quiz 7.1 Quiz 7.1-7.3

McDougal Littell/ Houghton Mifflin – “Algebra:

Stucture and Method Book 1” – Chapter 7 and

accompanying resources

HW Set 11

HW Set 12

HW Set 13

HW Set 14

HW Set 15

Proportion Worksheet

Proportion Problem Solving

More Proportion Problem Solving

Mixture and Work Problems

Chapter 7 Review

Solving Proportions (pdf)

Percent Problems (pdf)

Percent of Change (pdf)

Mixture Word Problems (pdf)

Work Word Problems (pdf)

Writing Scientific Notation (pdf)

Operations Scientific Notation (pdf)

SmartBoard Lessons

7.1-7.3.notebook

7.4-7.6.notebook

Setup and solve proportions A.CED.1

How are percents

and fractions

related?

Percents

Write a percent in decimal and fractional form

Setup and solve percent proportions

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

A.REI.2

Fractional

Equations

Solve equations with fractional coefficients Solve equations

involving variables in the denominator of fractions Setup and solve

problems involving mixture

A.SSE.3c

How is a problem

simplified with a

negative

exponent?

Negative

Exponents

Simplify an expression involving negative exponents

Chapter 7 Test Chapter 7 Test #2

Simplify expressions in scientific notation

Unit 10: Radical Functions

Approximate Duration of Study: 3 weeks

When to Study: April/May

CCS

Essential

Question

Concept

Skills

Assessments

Helpful Strategies and Resources

What makes a

number a rational

number?

Properties of

Rational

Numbers

Identify a rational number

Quiz 11.1 - 11.3

McDougal Littell/ Houghton Mifflin – “Algebra:

Stucture and Method Book 1” – Chapter 11 and

accompanying resources

Study Guide for 11-5 to 11-6

Study Guide for 11-7 to 11-9

Radical Equations 1 (pdf)

Radical Equations 2 (pdf)

Simplifying Radicals (pdf)

Adding & Subtracting Radical Expressions (pdf)

Multiplying Radical Expressions (pdf)

Dividing Radical Expressions (pdf)

HW Set #19

HW Set #20

SmartBoard Presentations

11.1 - 11.3

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

A.SSE.3C

_{What are your}

essential rules

when performing

basic operations

and simplification

of

square roots

?

Rational and

Irrational

Square Roots

Find the value of a rational square root

Quiz 11.4 Quiz 11.5 – 11.6 Quiz 11.1 - 11.3 Quiz 11.1–11.3 (2)

Quiz 11.1-11.3 (3)

Simplify an irrational square root expression Simplify a square root expression involving variables

A.SSE.2

Operations on

Square Roots

Multiply and divide square root expression

Quiz 11.7-11.9

Use conjugates to rationalize the denominator

Add and subtract square root expressions A.REI.2

Radical

Equations

Use the Power Property of Equality to solve equations

Checking for extraneous solutions

G.SRT.8

_{Pythagorean’s}

Theorem

Use Pythagorean’s Theorem to solve problem involving right triangles