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13
Modules
80
Topics
1520
hours
Modules (13)
Resources ()

learn about number operations, equations, and statistical analysis from this free online course.

Module 1
Numbers and Operations
Resources availableIn this module, you will get to analyze the functions of numbers and their operations in mathematics. It further explains how to work with sets of numbers and how fractions are expressed as the quotient of two quantities. Learn about the relationship between rational and irrational numbers in mathematics.Numbers and Operations  Learning Outcomes
Start TopicWorking with Sets  Vocabulary and Definitions
Start TopicSets of Numbers
Start TopicThe Number Line and Graphing
Start TopicFractions and Decimals
Start TopicThe Real Numbers
Start TopicIrrational Numbers – Definition and Properties
Start TopicPerfect Squares, Perfect Cubes and Other Popular Powers and Roots
Start TopicOperations with Radicals
Start TopicNumbers and Operations  Lesson Summary
Start Topic 
Module 2
Basics of Algebra
Resources availableIn this module, you will be introduced to the composition of algebraic expressions in mathematics. Learn how to solve equations in mathematics using addition, subtraction, multiplication, and division. This module illustrates how to get the percentage of a number in mathematics.Basics of Algebra  Learning Outcomes
Start TopicVariables and Algebraic Expressions
Start TopicSolving Equations
Start TopicGraphing a Solution Set on the Number Line
Start TopicRatios and Proportions
Start TopicPercents and Their Applications
Start TopicBasics of Algebra  Lesson Summary
Start Topic 
Module 3
Monomials and Laws for Exponents
Resources availableExplore the functions of monomials from the vocabulary associated with this concept from this module. Learn how to carry out addition, subtraction, multiplication, and division of monomials. You will also learn about the laws of exponents detailing the functions of nonpositive exponents.Monomials and Laws for Exponents  Learning Outcomes
Start TopicDefinitions and Vocabulary
Start TopicNonPositive Exponents
Start TopicPolynomials  Multiplication and Division
Start TopicMultiplication of Polynomials
Start TopicDivision of Polynomials
Start TopicSolving Fractional Equations
Start TopicMonomials and Laws for Exponents  Lesson Summary
Start Topic 
Module 4
Factoring Methods
Resources availableThis module explains the process of factoring various types of polynomials from the factoring techniques that can be applied in solving equations and inequalities. Also, you will learn how to solve problems using factoring applications from this module.Factoring Methods  Learning Outcomes
Start TopicGreatest Common Factor
Start TopicTrinomials in Factoring
Start TopicSum and Difference of Two Perfect Cubes
Start TopicProblem Solving Applications
Start TopicFactoring Methods  Lesson Summary
Start Topic 
Module 5
Linear Equations and Inequalities in Variables
Resources availableExplore the composition of linear equations and inequalities in two or more variables from this module. You will get to learn about the four different forms of linear equations can be expressed, the equation of lines, and the solving systems of linear inequalities.Linear Equations and Inequalities in Variables  Learning Outcomes
Start TopicThe Cartesian Coordinate System
Start TopicEquations of Lines
Start TopicSystems of Equations
Start TopicSolving Algebraically Using SecondOrder Determinants
Start TopicSolving a System of Three Equations
Start TopicLinear Inequalities
Start TopicQuadratic Inequalities and Number Line Analysis
Start TopicLinear Equations and Inequalities in Variables  Lesson Summary
Start Topic 
Module 6
Diploma in High School Algebra I  First Assessment
Resources availableYou must score 80% or more to pass this assessment.First Assessment
Start Assessment 
Module 7
Word Problems
Resources availableIn this module, you will be introduced to how to solve word problems using algebra. Get to learn how to solve word problems using a single variable or a system or two or more variables. You will also learn how to solve word problems about consecutive integers and the Pythagorean theorem from this module.Word Problems  Learning Outcomes
Start TopicCoin Word Problems
Start TopicDistance Word Problems
Start TopicPerimeter and Area Word Problems
Start TopicRectangular Frames
Start TopicWork Word Problems
Start TopicWord Problems  Lesson Summary
Start Topic 
Module 8
Quadratic Equations and Inequalities
Resources availableThis module expatiate further quadratic equations and inequalities in algebra. You will learn about several methods of solving quadratic equations which includes graphing, factoring, completing the square, and the quadratic formula from this module.Quadratic Equations and Inequalities  Learning Outcomes
Start TopicGeneral Form of a Quadratic Equation
Start TopicGraphing a Quadratic Function
Start TopicSolving Quadratic Equations by Completing the Square
Start TopicThe Discriminant and Nature of Roots
Start TopicProblem Solving with Quadratic Functions
Start TopicQuadraticLinear Systems of Equations
Start TopicQuadratic Inequalities
Start TopicQuadratic Equations and Inequalities  Lesson Summary
Start Topic 
Module 9
Exponential Functions
Resources availableThis module expounds on the definition and properties of exponential functions in algebra. You will learn how to solve exponential functions. Get to study the application and inverse of exponential functions in algebra from this module.Exponential Functions  Learning Outcomes
Start TopicDefinition and Properties of Exponential Functions
Start TopicSolving Exponential Equations
Start TopicFunctions in Algebra
Start TopicSpecial Functions
Start TopicLinear Functions
Start TopicQuadratic Functions
Start TopicExponential Functions  Lesson Summary
Start Topic 
Module 10
Operations on Functions
Resources availableThis module explains how to perform major arithmetic operations on functions. You will learn how to form the composite of two or more functions and the meaning of the inverse of a function. You will also learn how to transform geometric figures through translations, reflections, rotations and dilations.Operations on Functions  Learning Outcomes
Start TopicArithmetic Operations on Functions
Start TopicGraphical Transformations of Functions
Start TopicDilations in Algebra
Start TopicOperations on Functions  Lesson Summary
Start Topic 
Module 11
Finite Sequences
Resources availableGet to discuss the concept of finite sequence as an arrangement of numbers in this module. You will also learn about the different methods of measuring central tendency and how to explore the relationship between data sets.Finite Sequences  Learning Outcomes
Start TopicFinite Sequence  Definition and Vocabulary
Start TopicMeasures of Central Tendency
Start TopicDisplaying Data
Start TopicPicture Graphs
Start TopicHistograms and Polygons
Start TopicExploring Relationships Between Data Sets
Start TopicFinite Sequences  Lesson Summary
Start Topic 
Module 12
Diploma in High School Algebra I  Second Assessment
Resources availableYou must score 80% or more to pass this assessment.Second Assessment
Start Assessment 
course assessment: Diploma in High School Algebra I

Module 13
Course assessment
Resources available