LSU College Readiness Program

LSU College Readiness Program

COURSE PROFILE with LMS

COURSE NAME: / High School Algebra I
PRIMARY ONLINE CONTENT SOURCE: / Algebra 1 in MyMathLab
Elayn Martin-Gay, with contributions from Robert Blitzer
COURSE/UNIT CREDIT: / 1 Carnegie Unit
GRADE(S): / 7, 8, or 9
PREREQUISITE(S): / Completion of 8th grade math or placement by high school

CHAPTERS

1 - Review of Real Numbers / 6 - Exponents and Polynomials
2 - Solving Equations and Problem Solving / 7 - Factoring Polynomials
3 - Graphs and Functions / 8 - Rational Expressions
4 - Solving Inequalities and Absolute Value Equations and Inequalities / 9 – Roots and Radicals
5 - Solving Systems of Linear Equations and Inequalities / 10 - Quadratic Equations

SECTION NAMES (NUMBER OF EXERCISES), LEARNING OBJECTIVES, AND LOUISIANA MATHEMATICS STANDARDS CORRELATIONS

CHAPTER 1: Review of Real Numbers
1.2 Symbols and Sets of Numbers (47)
Use a number line to order numbers
Translate sentences into mathematical statements
Use integers to express values in statements
Use a graph to answer questions
Identify types of numbers
Determine if a statement is true or false
Order numbers involving absolute value / 8.NS.1
6.NS.5
6.NS.7
6.EE.2
1.3 Fractions (51)
Write numbers as products of primes
Write fractions in simplest form
Multiply and divide fractions
Add and subtract fractions
Write equivalent fractions / 6.NS.1
5.NF.1
5.NF.2
5.NF.6
1.4 Variable Expressions and Equations (52)
Evaluate expressions with exponents
Simplify expressions using the order of operations
Evaluate algebraic expressions, given replacement values for variables
Determine whether a number is a solution of a given equation
Translate phrases to algebraic expressions
Translate sentences to equations or inequalities / 7.EE.4
6.EE.1
6.EE.2
6.EE.3
6.EE.5
1.5 Adding Real Numbers (47)
Add real numbers with the same sign
Add real numbers with unlike signs
Solve problems that involve addition of real numbers
Find the opposite of a number
Determine if a given number is a solution to a given equation / 7.NS.1
7.NS.2
6.EE.5
1.6 Subtracting Real Numbers (48)
Subtract real numbers
Add and subtract real numbers
Evaluate algebraic expressions using real numbers
Solve problems that involve subtraction of real numbers
Determine if a given number is a solution to a given equation / 7.NS.1
7.NS.2
6.EE.2
6.EE.5
1.7 Adding and Subtracting Matrices (13)
Use matrix notation
Find the value of the variables that will make the matrices equal
Add and subtract matrices
Solve problems involving addition and subtraction of matrices
1.8 Multiplying and Dividing Real Numbers (73)
Multiply real numbers
Simplify using the order of operations
Identify the reciprocal of a real number
Divide real numbers
Simplify using the order of operations
Evaluate algebraic expressions using real numbers
Determine if a given number is a solution to a given equation / 7.NS.1
7.NS.2
6.EE.2
6.EE.5
1.9 Properties of Real Numbers (51)
Vocabulary and Readiness Check
Use the commutative and associative properties
Use the distributive property
Name the properties illustrated by the statements / AlgI.A.2
7.EE.1
1.4,5,6,8 Real Life Linear Relationships (23)
Evaluate algebraic expressions, given replacement values for variables
Solve problems that involve addition of real numbers
Solve problems that involve subtraction of real numbers
Multiply real numbers / 7.NS.1
7.NS.3
1.10 Data: Probability and Odds (29)
Compute theoretical probability
Understand and use odds
Determine effects of linear transformations of data
Determine effects of outliers / AlgI.SP.6
7.SP.5
7.SP.7
CHAPTER 2: Solving Equations and Problem Solving
2.1 Simplifying Algebraic Expressions (57)
Combine like terms
Use the distributive property to remove parentheses
Write word phrases as algebraic expressions
Name the properties illustrated by the statements
Review and Preview / AlgI.A.4
AlgI.A.1a
6.EE.2
6.EE.3
7.EE.1
2.2 Addition Property of Equality (54)
Use the addition property of equality to solve linear equations
Simplify an equation and then use the addition property of equality
Write word phrases as algebraic expressions / AlgI.A.10
AlgI.A.11
6.EE.6
2.3 Multiplication Property of Equality (53)
Use the multiplication property of equality to solve linear equations
Use addition and multiplication properties of equality to solve linear equations
Write word phrases as algebraic expressions / AlgI.A.10
AlgI.A.11
6.EE.6
2.4 Solving Multi-step Equations (40)
Apply a general strategy for solving a linear equation
Solve equations containing fractions
Write word phrases as algebraic expressions / AlgI.A.10
AlgI.A.11
8.EE.7a
6.EE.6
2.5 Introduction to Problem Solving (33)
Solve problems involving direct translations
Solve problems involving relationships among unknown quantities
Solve problems involving consecutive integers / AlgI.A.11
AlgI.A.6
2.6 Formulas and Problem Solving (45)
Substitute values into a formula and solve for the unknown variable
Solve a formula for one of its variables
Use formulas to solve problems / AlgI.NQ.2
AlgI.A.9
AlgI.A.11
2.7 Percent and Problem Solving (36)
Solve percent equations
Solve discount and mark-up problems
Solve percent increase and percent decrease problems / 7.RP.3
2.8 Mixture and Distance Problem Solving (21)
Solve mixture problems
Solve uniform motion problems / AlgI.NQ.2
AlgI.A.6
AlgI.A.8
AlgI.A.11
CHAPTER 3: Graphs and Functions
3.1 Reading Graphs and Rectangular Coordinate System (54)
Read bar and line graphs
Define the rectangular coordinate system and plot ordered pairs of numbers
Graph paired data to create a scatter diagram and determine correlation
Determine whether an ordered pair is a solution of an equation in two variables
Find missing coordinate of an ordered pair solution given one coordinate of the pair
Interpret information given in a scatter plot / AlgI.SP.7
8.SP.1
6.EE.5
3.2 Graphing Linear Equations (38)
Identify linear equations
Graph an equation by finding and plotting ordered pair solutions
Solve application problems / AlgI.A.15
AlgI.F.7a
3.3 Intercepts (35)
Identify intercepts of a graph
Graph a linear equation by finding and plotting intercepts
Identify and graph vertical and horizontal lines / AlgI.A.15
AlgI.F.7a
3.4a Slope and Rate of Change (37)
Find the slope of a line given points on the line
Find the slopes of horizontal and vertical lines
Find the slope of a line given its equation
Compare the slopes of parallel and perpendicular lines
Slope as a rate of change / AlgI.F.6
AlgI.F.15
AlgI.SP.5
AlgI.A.15
Geom.G.28
8.EE.6
3.4b Slope and Rate of Change - Review and Preview (20)
Slope as a rate of change / AlgI.F.6
AlgI.F.15
AlgI.SP.5
Geom.G.28
AlgI.A.15
3.5a Equations of a Line (25)
Use the slope-intercept form to write an equation of a line
Use the slope-intercept form to graph a linear equation
Use the point-slope form to find equation of line given slope and a point on the line
Use the point-slope form to find an equation of a line given two points of the line
Find equations of vertical and horizontal lines / AlgI.A.7
Geom.G.28
3.5b Equations of a Line - Review and Preview (23)
Use the point-slope form to solve problems / AlgI.A.7
Geom.G.28
AlgI.F.12b
AlgI.F.13
AlgI.F.15
3.6a Functions (28)
Identify relations, domains, and ranges
Identify functions
Use the vertical line test
Use function notation / AlgI.F.1
AlgI.F.2
3.6b Function Review and Graphing Functions (30)
Identify relations, domains, and ranges
Graph linear functions
Graph linear functions by finding intercepts
Graph vertical and horizontal lines
Decide whether a situation describes a linear function / AlgI.F.1
AlgI.F.2
AlgI.F.5
AlgI.F.7a
AlgI.F.10
AlgI.F.11
3.7 Graphing Functions (25)
Graph piecewise-defined functions
Use vertical and horizontal shifts to graph a function
Use function notation
Graph nonlinear equations
Vertical and horizontal shifts / AlgI.F.2
AlgI.F.7ab
AlgI.F.11
AlgI.A.15
CHAPTER 4: Solving Inequalities and Absolute Value Equations and Inequalities
4.1 Linear Inequalities and Problem Solving (40)
Graph inequalities on number lines
Solve inequalities
Solve inequality applications / AlgI.A.6
AlgI.A.11
4.2 Compound Inequalities (49)
Find the union of two sets
Find the intersection of two sets
Solve compound inequalities involving or
Solve compound inequalities involving and / AlgI.A.11
4.3 Absolute Value Equations (42)
Solve absolute value equations / AlgI.A.11
4.4a Absolute Value Inequalities (29)
Solve absolute value inequalities of the form |x|
Solve absolute value inequalities of the form |x|>a / AlgI.A.11
4.4b Absolute Value Inequalities (26)
Solve absolute value inequalities of the form |x|
Solve absolute value inequalities of the form |x|>a
Mixed Practice / AlgI.A.11
4.5a Graphing Linear Inequalities (25)
Determine ordered pairs that are solutions to linear inequalities in two variables
Graph linear inequalities in two variables / AlgI.A.17
4.5b Graphing Linear Inequalities (12)
Review and Preview / AlgI.A.17
CHAPTER 5: Solving Systems of Linear Equations and Inequalities
5.1 Systems of Linear Equations by Graphing (36)
Determine if an ordered pair is a solution of a system of equations in two variables
Solve a system of linear equations by graphing
Without graphing, determine the number of solutions of a system / AlgI.A.14
5.2 Systems of Linear Equations by Substitution (29)
Use the substitution method to solve a system of linear equations / AlgI.A.14
5.3a Systems of Linear Equations by Addition (20)
Use the addition method to solve a system of linear equations / AlgI.A.14
5.3b Systems of Linear Equations by Addition (19)
Use the substitution method to solve a system of linear equations / AlgI.A.14
5.4a Systems of Linear Equations and Problem Solving (15)
Choose a solution that satisfies the given conditions
Write a system of equations to describe a situation
Use a system of equations to solve problems / AlgI.A.14
AlgI.A.8
5.4b Systems of Linear Equations and Problem Solving (16)
Choose a solution that satisfies the given conditions
Write a system of equations to describe a situation
Use a system of equations to solve problems / AlgI.A.14
AlgI.A.8
5.5 Systems of Linear Inequalities (23)
Solve systems of linear inequalities
Use mathematical models involving linear inequalities / AlgI.A.14
AlgI.A.8
5.6a Frequency Distributions (6)
Organize and present data using frequency distributions
5.6b Statistical Graphs (15)
Answer questions involving concepts and/or definitions
Make data displays to convey information about data
Construct a frequency distribution and/or statistical graphs
Use a given statistical graph to answer questions
Organize and present data using histograms and frequency polygons
5.7a Mean, Median, Mode and Trends in Statistics (23)
Calculate mean, median, and mode
Determine effects of linear transformations of data
Work with box plots
Use box plots to discuss and compare data sets
Determine the median, first and third quartiles, and interquartile range of a data set
Work with measures of central tendency / AlgI.SP.1
AlgI.SP.2
5.7b Review Mean, Median, Mode, and Range (15)
Review mean, median, and mode
Determine the range for a data set
Calculate mean, median, and mode / 6.SP.5c
5.7c Standard Deviation for a Data Set (11)
Determine the standard deviation for a data set / AlgI.SP.1
CHAPTER 6: Exponents and Polynomials
6.1a Exponents (12)
Evaluate exponential expressions / 8.EE.1
6.1b Properties of Exponents (35)
Use the product rule for exponents
Use the power rules for products and quotients
Use the quotient rule for exponents, and define a number raised to the 0 power
Decide which rule(s) to use to simplify an expression / 8.EE.1
6.1c Negative Exponents (34)
Simplify expressions containing negative exponents
Use all the rules and definitions for exponents to simplify exponential expressions / 8.EE.1
6.1d The Meaning of a^(1/n) Rational Exponents (11)
Understand the meaning of a^(1/n)
Understand the meaning of a^(m/n)
Simplify expressions containing negative exponents / AlgII.NQ.1
AlgII.NQ.2
6.1e Rational Exponents (12)
Understand the meaning of a^(m/n)
Understand the meaning of a^(1/n)
Solve equations of the form b^x = b^y / AlgII.NQ.1
AlgII.NQ.2
6.2a Adding and Subtracting Polynomials (35)
Vocabulary and Readiness Check
Define polynomial, monomial, binomial, trinomial, and degree
Find the value of a polynomial given replacement values for the variables
Simplify a polynomial by combining like terms
Add and subtract polynomials / AlgI.A.1a
AlgI.A.4
6.2b Adding and Subtracting Polynomials (29)
Define polynomial, monomial, binomial, trinomial, and degree
Find the value of a polynomial given replacement values for the variables
Simplify a polynomial by combining like terms
Add and subtract polynomials / AlgI.A.1a
AlgI.A.4
6.3a Multiplying Polynomials (26)
Use the distributive property to multiply polynomials
Multiply polynomials vertically / AlgI.A.4
6.3b Multiplying Polynomials (27)
Use the distributive property to multiply polynomials
Multiply polynomials vertically / AlgI.A.4
6.4a Special Products (24)
Multiply two binomials using the FOIL method
Square a binomial / AlgI.A.2
AlgI.A.4
6.4b Special Products (14)
Multiply the sum and difference of two terms / AlgI.A.2
AlgI.A.4
6.4c Special Products (11)
Square a binomial / AlgI.A.2
AlgI.A.4
6.4d Special Products – Distributive Property (14)
Multiply the sum and difference of two terms / AlgI.A.2
AlgI.A.4
6.4e Special Products - Review and Extension (22)
Multiply the sum and difference of two terms
Square a binomial
Use the distributive property to find the product of two polynomials / AlgI.A.2
AlgI.A.4
6.5a Scientific Notation and Review of Negative Exponents (44)
Simplify expressions containing negative exponents
Use all the rules and definitions for exponents to simplify exponential expressions / 8.EE.1
8.EE.4
6.5b Computing Scientific Notation (10)
Perform operations on numbers written in scientific notation
Compute, using scientific notation / 8.EE.4
6.6a Graphing Exponential Functions (23)
Graph exponential functions
Graph transformations of exponential functions / AlgI.F.7b
AlgI.F.11
AlgI.F.13
6.6b Compound Interest Formula - Review and Preview (38)
Graph exponential functions
Graph transformations of exponential functions
Use the compound interest formula / AlgI.F.7b
AlgI.F.11
AlgI.F.13
AlgI.A.3c
6.7 Exponential Growth and Decay Functions (14)
Model exponential growth
Model exponential decay
Model exponential decay with half-life / AlgI.F.12c
6.8a Dividing Polynomials (25)
Divide a polynomial by a monomial
Use long division to divide a polynomial by another polynomial
Use synthetic division to divide a polynomial by a binomial
Use the remainder theorem to evaluate polynomials / AlgII.A.4
AlgII.A.7
6.8b Dividing Polynomials - Review and Extension (18)
Use synthetic division to divide a polynomial by a binomial
Use the remainder theorem to evaluate polynomials
Divide a polynomial by a monomial
Use long division to divide a polynomial by another polynomial / AlgII.A.4
AlgII.A.7
CHAPTER 7: Factoring Polynomials
7.1a Greatest Common Factor and Factoring (27)
Find the greatest common factor of a list of integers
Factor out the greatest common factor from a polynomial / AlgI.A.1