Algebra 1
Algebra 1
Curriculum Map
Curriculum Map
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:
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.
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 expressionsA.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, 5-6Math 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 expressionsWhy 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 operationsA.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 expressionsEquations
Equations
Solve equationsSolve equations with two variables with two variables given a domain given a domainVocabulary: Variable, Expression, Order of Operations, Distributive Property, Equations, Domain Vocabulary: Variable, Expression, Order of Operations, Distributive Property, Equations, Domain
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 equationsMcDougal 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 divisionA.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 operationA.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 symbolsA.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 equationsA.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:
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 8and
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
oo
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 graphingHow 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 pointone 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
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 plotsplots
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
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: CCSCCS 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 subtractionMcDougal Littell/ Houghton Mifflin
McDougal Littell/ Houghton Mifflin
– – “Algebra:“Algebra:Stucture
Stucture
and Method Book 1” –and Method Book 1” – Chapter 10Chapter 10and
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 divisionSolving
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 theirsolution 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 planeChapter 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 graphingVocabulary: Inequality, Compound Inequality, Boundary,
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 ofequations 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 9and
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 substitutionA.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 multiplicationA.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
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 oLabs 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.1A.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
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 formQuiz 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 5and
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 propertyQuiz 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.3aWhy 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.4bA-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 formn 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 equationsGraphing
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.4aCompleting the
Completing the
Square
Square
Solve quadratic Solve quadratic equations by completing equations by completing the square the square A-REI.4bA-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 FormulaVocabulary: Vocabulary:
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 reduceQuiz 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 factorsCh 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 rationalexpressions 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 expressionsChapter 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:
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 formform
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 notationVocabulary: Ratio, Proportion, Percent, Percent of
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 - 11.3Quiz 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 versaversa 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 trianglestriangles
Vocabulary: Vocabulary: