Download algebra 1 hs

South Carolina
ALGEBRA I
2011-2012 Pacing Guide (Traditional)
Note: The Process Standards (1.1-1.7) have been included throughout the pacing guide in accordance
with the Assessment Guidelines provided by the South Carolina State Department of Education.
Unit
Days
Introduction
(Days 1-3)
3 Days
Foundations of
Algebra
and the
Real Number
System
(Days 4-17)
Solving
Equations
(Days 18-39)
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14 Days
22 Days
Standard/
Indicator
Common
Core
Major Topics/Concepts
Introduction to the course
EA-1.1
EA-1.2
EA-1.3
EA-1.4
EA-1.6
EA-2.1
EA-2.2
EA-2.5
EA-2.6
EA-2.7
EA-2.9
EA-2.10
A.SSE.1a
A.SSE.1b
A.SSE.2
N.RN.2
N.RN.3
N.VM.6
N.VM.7
N.VM.8
N.VM.9
N.VM.10
EA-1.2
EA-1.3
EA-1.4
EA-1.5
EA-1.6
EA-2.4
EA-3.7
EA-3.8
EA-4.7
A.CED.1
A.CED.4
A.REI.1
A.REI.3
N.Q.1
N.Q.2
N.Q.3
1
Variables and expressions
 Simplify
 Translate
 Evaluate
Order of Operations
Real numbers
 Classify
 Compare
 Add, subtract, multiply, and divide
 Graph on number line
 Use Venn diagrams to organize
Square roots
 Find square root values
 Classify and order
Absolute value representation
Properties of real numbers
 Apply properties to simplify and
evaluate expressions
 Include expressions with exponents
Distributive Property
Matrix organization
Operations with matrices
 Add and subtract
 Use scalar multiplication
Real-world application
One-step equations & multi-step equations
 Translate verbal sentences into
equations and vice versa
 Use properties to solve
 Include equations with variables on
both sides
 Solve absolute value equations
 Include fractions and decimals
 Practice 1 solution, no solution, and
infinitely many solutions
 Check solutions
Proportions
 Apply proportional reasoning
 Set up and solve unit conversion
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Unit
Solving
Inequalities
(Days 40-51)
Days
12 Days
Days 52-53
Linear Functions
(Days 54-67)
14 Days
Writing
and
Graphing
Linear
Functions
(Days 68-92)
25 Days
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Standard/
Indicator
Common
Core
Major Topics/Concepts
problems
 Understand concept of dimensional
analysis
Direct variation
 Use direction variation with
distance problems
Methods for solving for a specific variable
 Use inverse operations
 Use formulas
Real-world application
Methods for solving inequalities in onevariable
 Write inequalities that model a
given problem situation
 Assign a variable and restrictions to
EA-1.3
the variable
EA-1.4
A.CED.1
 Solve absolute value inequalities
EA-1.5
A.REI.1
 Include fractions and decimals
EA-4.8
A.REI.3
 Use properties to solve
EA-5.12
 Include inequalities with variables
on both sides
 Check solutions using appropriate
methods
Graph solutions on a number line
Review/1st Cumulative Benchmark
(covering all content through day 51)
A.CED.2
A.REI.10
F.BF.1
F.IF.1
Introduction to functions
EA-1.1
F.IF.2
Patterns and equations
EA.1.4
F.IF.3
 Analyze relationship between x
EA-1.5
F.IF.4
and y values
EA-1.6
F.IF.5
 Determine if a relation is a function
EA-3.1
F.IF.6
 Identify domain and range
EA-3.2
F.IF.9
 Write functions
EA-3.3
F.LE.1b
 Analyze and apply function rules
EA-3.6
F.LE.2
Direct variation vs. inverse variation
N.Q.1
N.Q.2
N.Q.3
S.ID.7
EA-1.1
A.REI.10
Coordinate plane
EA-1.4
A.REI.12
 Locate and graph points
EA-1.5
F.BF.3
 Represent relations in various ways
EA-1.6
F.IF.6
Find inverse of a relation
EA-1.7
F.IF.7a
Slope
EA-3.4
F.LE.1
 Interpret slope as a rate of change
EA-4.1
F.LE.2
 Find slope
2
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Unit
Scatterplots
(Days 93-102)
Days
10 Days
Days 103-105
Systems
(Days 106-125)
20 Days
Polynomials
(Days 126-150)
26 Days
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Standard/
Indicator
Common
Core
Major Topics/Concepts
 Use slope to determine ∥ and ⊥
lines
Slopes and intercepts
EA-4.2
 Use slopes and intercepts to graph
EA-4.3
functions
EA-4.6
 Analyze functions
EA-5.1
Equations of lines
EA-5.2
 Write using two points
EA-5.3
N.Q.1
 Write in slope-intercept form
EA-5.4
N.Q.2
 Write in point-slope form
EA-5.5
N.Q.3
 Write in standard form
EA-5.6
S.ID.7
Equations of ∥ and ⊥ lines
EA-5.7
Continuous functions
EA-5.8
 Analyze graphs to find domain and
EA-5.9
range
EA-5.10
Two-variable inequalities
 Write
 Graph and analyze
Calculator tips
Real-world application
Scatterplots
Relationships
 Identify positive, negative, no
A.CED.2
EA-1.1
correlation
F.BF.1a
EA-1.2
Linear regression and line-of-best fit
F.LE.2
EA-1.3
 Identify axis to represent
F.LE.5
EA-1.4
independent and dependent
S.ID.6a
EA-1.5
variables
S.ID.6b
EA-1.6

Determine reasonableness of a line
S.ID.6c
EA-1.7
of best fit
S.ID.7
EA-4.4
 Write equation of trend line
S.ID.8
EA-4.5
 Draw conclusions and make
S.ID.9
predictions
Calculator tips
Review/2nd Cumulative Benchmark
(covering all content through day 102)
Systems of equations and inequalities
EA-1.1
 Write a system to model situations
EA-1.3
A.CED.2
Methods for solving systems of equations
EA-1.4
A.CED.3
 Solve by graphing
EA-1.7
A.REI.5
 Solve using substitution
EA-4.9
A.REI.6
 Solve using elimination
EA-4.10
A.REI.10
 Interpret solutions
EA-5.8
A.REI.12
Calculator tips
EA-5.11
Real-world application
EA-1.1
A.APR.1
Exponents (positive, negative, and zero)
EA-1.2
A.SSE.1a
 Use properties to evaluate and
EA-1.3
A.SSE.2
simplify
Polynomials
3
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Unit
Days
Standard/
Indicator
EA-1.7
EA-2.2
EA-2.3
EA-2.7
EA-2.8
EA-6.4
Days 151-153
Quadratics
(Days 154-165)
Days 166-170
Days 171-173
Days 174-180
12 Days
Common
Core
Major Topics/Concepts
 Add and subtract
 Multiply and divide
 Use concrete models
Scientific Notation
 Multiply
 Divide
Prime factorization of polynomials
Greatest common factor (GCF) of
A.SSE.3a
polynomials
F.IF.8b
Factoring polynomials
N.RN.2
 Factor x 2 + bx + c
 Factor ax 2 + bx + c
 Recognize prime polynomials
 Use concrete models
Perfect squares
Difference of squares
Radical expressions
 Simplify using Property of Square
Roots and Quotient Property of
Square Roots
rd
Review/3 Cumulative Benchmark
(covering all content through day 150)
A.REI.4
A.REI.4a
A.REI.4b
A.SSE.3a
A.SSE.3b
A.SSE.3c
F.BF.1b
F.BF.3
F.IF.4
F.IF.5
F.IF.7a
F.IF.7b
F.IF.8a
F.IF.9
F.LE.1b
F.LE.3
EA-1.1
EA-1.2
EA-1.3
EA-1.4
EA-1.5
EA-1.6
EA-1.7
EA-2.8
EA-3.5
EA-6.1
EA-6.2
EA-6.3
EA-6.4
EA-6.5
EA-6.6
Quadratics
 Use discriminant to determine
solutions
Methods for solving
 Graph
 Factor using quadratic methods
 Associate x-intercepts with factored
form
Graphs of parent functions
Analysis of quadratic graphs
 Determine equation from graph
 Approximate solutions of graphs
 Determine domain of graphs
 Identify how a and c affect graph
 Calculator tips
Real-world application
Review/Optional Comprehensive Benchmark
EOC Tests
*Enrichment/Remediation
*Additional Common Core standards as determined at district level
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