Algebra I Topics
Lesson/Topic/Time
Frame
Skill/Objective/PA Anchor/Keystone Anchor
Chapter 2
2.1
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12.1
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2.2
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Compare real numbers
Simplify expressions involving opposites and
absolute values
Simplify radicals
2.6
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Add numbers with like signs
Add numbers with unlike signs
Define subtraction in terms of addition
Subtract numbers with like and unlike terms
Multiply and divide positive and negative numbers
Define the Properties of Zero
Evaluate expressions using Order of Operations
State and apply the Commutative, Associative,
and Distributive Properties
Mental Computations OPTIONAL
Have students provide reason (using Properties)
as to why two expressions are equivalent
Use Distributive Property to combine like terms
Simplify expressions with several variables
2.7
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Multiply expressions containing variables
Divide expressions containing variables
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Translate phrases into variable expressions
Translate word sentences into equations
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Translate basic word problems into equations
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Write equations to represent relationships among
integers
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Use charts to solve miscellaneous problems
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Use charts to solve coin problems
2.3
2.4
And 1.3
2.5
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Translating Unit
1-4 (Dol)
1-5
(Dol)
1-6
(Dol)
2-7
(Dol)
3-6
(Dol)
3-7
(Dol)
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4-8
(Dol)
Use charts to solve rate-time-distance problems
Chapter 3
3.1
3.2
3.3
3.4
3.5
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Solve equations by using addition and subtraction
Identify properties used
Solve equations by using multiplication and division
Identify properties used
Write equations that represent real-world situations
Solve two-step equations
Identify properties used
Write and solve multistep equations
Identify properties used
Include No solution and All Real Numbers to possible solutions
Use Distributive Property to solve equations
Solving real-world problems by using multistep equations
Identify properties used
Include No solution and All Real Numbers to possible solutions
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Solve proportions using cross multiplication
Use proportions to solve problems
Find equivalent, fractions, decimals and percents
Solve problems involving percents
Find the experimental probability that an event will occur
Find probabilities for compound events
Find the mean, median, mode and range of a data set
Represent data using frequency tables
Find the mean, median, mode and range of a data set
Represent data using frequency tables
Interpret stem-and-leaf plots, histograms, and box-and-whisker plots
Represent data with stem-and-leaf plots, histograms and box-and-whisker
plots
Chapter 4
4.1
4.2
4.3, 13.1, 13.2 &
13.4
4.4
4.5
4.6
Chapter 5
5.1
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Determine whether a relation is a function
Describe the domain and range of a function
Analyze set of data for existence of a pattern and represent the pattern algebraically and/or graphicaA
5.2
5.3
5.4
5.5
5.6
1.6
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Calculate the slope of a line by using the rise and run
Calculate the slope of the line by use of the formula
Find the rate of change from a graph
Solve and graph direct variation equations
Write a linear equation when given a graph, two points or the slope and a point
Graph a line using the slope-intercept form of a linear equation
Define and use the standard form for a linear equation
Define and use the point-slope form for a linear equations
Translate from one representation of a linear function to another (i.e., graph, table and equation)
Identify parallel lines and perpendicular lines by comparing their slopes
Write equations of lines that are parallel and perpendicular to given lines
Create a scatter plot, find the line of best fit
Write an equation to model and predict based off the line of best fit
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State and use symbols of inequality
Solve and graph inequalities that involve addition and subtraction
Write inequalities given real-world situations and interpret their solutions
Apply the multiplication and division properties of inequality
Solve and graph multistep inequalities in one variable
Write inequalities given real-world situations and interpret their solutions
Graph the solution sets of compound inequalities
Solve compound inequalities
Explore features of the absolute-value function
Explore the basic transformations of the absolute-value function
Solve absolute-value inequalities
Solve absolute-value inequalities, and express the solution as a range of values on a number line
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Graph systems of equations
Solve a system of equations by inspecting a graph
Write a system given real-world situations and interpret their solutions
Find an exact solution to a system of linear equations by using the substitution method
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Use the elimination method to solve a system of equations
Choose an appropriate method to solve a system of linear equations
Write a system given real-world situations and interpret their solutions
Identify consistent and inconsistent systems of equations
Identify dependent and independent systems of equations
Graph the solution to a linear inequality
Graph the solution to a system of linear inequalities
Chapter 6
6.1
6.2
6.3
6.4
6.5
Chapter 7
7.1
7.2
7.3
7.4
7.5
7.6
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Use system of equations to solve word problems
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Define exponents and powers
Find products of powers
Simplify products of monomials
Find the power of a power
Find the power of a products
Simplify quotients of powers
Simplify powers of fractions
Understand the concepts of negative and zero exponents
Simplify expressions containing negative and zero exponents
Convert numbers to and calculate in scientific notation
Chapter 8
8.1
8.2
8.3
8.4
8.5
Dolciani Chapter 5
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Review operations with polynomials
5-2
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Factor integers
Find GCF of several integers
Find GCF of several monomials
5-3
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Find monomial factors of polynomials
5-4
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Find the product of two binomials mentally (FOIL)
5-5
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Factor difference of two squares
5-6
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Factor perfect-square trinomials
Find squares of binomials
Factor quadratic trinomials, ax2+bx+c when a = 1 & c is positive and negative
4-2, 4-5 & 4-6
5-1
5-7 & 5-8
Chapter 11
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11.3 & 11.4
11.5
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Simplify or reduce a rational algebraic expression
State restrictions on the variable
Find the LCM of two or more monomials
Add, subtract, multiply, and divide rational expressions
Solve rational equations
7-7 (Dol)
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Solve mixture problems by finding a common denominator
7-8 (Dol)
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Solve work problems by finding a common denominator
3.6
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Solve literal equations for a specific variable
Use formulas to solve problems
5-9
(Dol)
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Factor Quadratic Trinomials with integral coefficients
5-10
(Dol)
5-11
(Dol)
5-12
(Dol)
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Factor a polynomial by grouping terms
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Factor Polynomials completely using several methods
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Use factoring to solve polynomial equations
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Solve problems by writing and factoring quadratic equations
5-13
(Dol)
(D