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Catching the Wave - Intermediate Math Pre-Algebra
Everything You Need to Know for Pre-Algebra and Algebra 1
Megan Layne
Average rating:4.9Number of reviews:(100)
In this 20-week class, students will learn key topics in pre-algebra and algebra 1
Class experience
US Grade 6 - 9
Welcome to "Everything You Need to Know for Pre-Algebra and Algebra 1 Cram Course"! You may be here because you're ready for pre-algebra, or you may have already completed Pre-algebra or Algebra 1 and need a review. Pre-algebra and Algebra are a student's first dive into high school mathematics, and it's often a daunting one! At this level, we meet variables, quadratic functions, linear equations, and so much more! All of these skills will continue to be used in further math classes, so...
13 units//68 lessons//20 Weeks
Unit 1Arithmetic PropertiesArithmetic Properties3 lessons1 WeekWeek 1Lesson 1Types of NumbersClassifications of Numbers as Natural Numbers, Whole Numbers, Integers, Rational Numbers, Irrational Numbers, and Real NumbersLesson 2Algebraic PropertiesRecognizing & Using the Commutative Properties of Addition and Multiplication, the Associative Properties of Addition and Multiplication, and the Distributive Properties of MultiplicationLesson 3Order of OperationsUsing PEMDAS to Solve EquationsUnit 2The Number SystemThe Number System7 lessons2 WeeksWeek 2Lesson 4Adding Positive & Negative Whole NumbersPositive & Negative Numbers, Absolute Value, Adding Positive & Negative IntegersLesson 5Subtracting Positive & Negative Whole NumbersSubtracting Positive & Negative Integers, Additive Inverse MethodLesson 6Multiplying & Dividing Positive and Negative Whole NumbersMultiplying & Dividing Two and More Positive & Negative IntegersWeek 3Lesson 7Multiplying & Dividing Positive & Negative FractionsMultiplying & Dividing Two and More Positive & Negative FractionsLesson 8Adding & Subtracting Positive and Negative FractionsAdding & Subtracting Positive and Negative Fractions with Like & Unlike DenominatorsLesson 9Adding & Subtracting DecimalsIntroduction to Decimal Place Value, Adding & Subtracting DecimalsLesson 10Multiplying & Dividing DecimalsMultiplying & Dividing DecimalsUnit 3Ratios, Proportions, and PercentRatios, Proportions, and Percent8 lessons2 WeeksWeek 4Lesson 11RatioIntroduction to Ratios, Simplifying Ratios, Equivalent RatiosLesson 12Unit RateRate and Unite RateLesson 13ProportionProportion, Finding an Unknown Quantity, and Constant of ProportionalityLesson 14PercentIntroduction to Percent, Converting Between Decimals & Percentages and Fractions and Percentages, Calculating Percent, Finding the Whole when Given PercentWeek 5Lesson 15Percent ApplicationsSales Tax, Finding Original Price, Calculating Discount & MarkupLesson 16Simple InterestCalculating Simple Interest, Introduction to Compound InterestLesson 17Percent Rate of ChangeFinding Percent Rate of ChangeLesson 18Tables & RatiosUsing Tables to Compare Ratios & ProportionsUnit 4Exponents & Algebraic ExpressionsExponents & Algebraic Expressions5 lessons1 WeekWeek 6Lesson 19ExponentsExponents, Negative Exponents, Properties of Exponents, Fractions with Negative ExponentsLesson 20Scientific NotationConverting Between Numbers in Standard Form & Scientific NotationLesson 21ExpressionsIntro to Monomial, Binomial, Trinomial, & Polynomial Expressions, Degrees of Monomials & Polynomials, Standard FormLesson 22Evaluating Algebraic ExpressionsEvaluating Algebraic Expressions Using SubstitutionLesson 23Combining Like TermsCombining Like Terms in ExpressionsUnit 5Linear Equations & InequalitiesLinear Equations & Inequalities7 lessons2 WeeksWeek 7Lesson 24Introduction to EquationsIndependent & Dependent Variables, Linear EquationsLesson 25Solving One-Variable EquationsIsolating Variables & Using Inverse Operations to Solve One-Variable EquationsLesson 26Solving One-Variable InequalitiesInequalities, Graphing Inequalities on a Number Line, Solving One-Variable InequalitiesLesson 27Solving Compound InequalitiesIntersection & Union, Interval NotationWeek 8Lesson 28Rewriting FormulasUsing Inverse Operations to Rewrite Formulas & EquationsLesson 29Solving Systems of Linear Equations by SubstitutionSystems of Linear Equations, Solving Systems of Linear Equations Using Substitution MethodLesson 30Solving Systems of Linear Equations by EliminationSolving Systems of Linear Equations Using Elimination MethodUnit 6Graphing Linear Equations & InequalitiesGraphing Linear Equations & Inequalities8 lessons2 WeeksWeek 9Lesson 31Points & LinesCoordinate Planes, Quadrants, Domain, RangeLesson 32Graphing a Line from a Table of ValuesGraphing a Line from a Table of ValuesLesson 33SlopeRise Over Run, Finding SlopeLesson 34Slope-Intercept FormX- and Y- Intercepts, Slope-Intercept FormWeek 10Lesson 35Point-Slope FormPoint-Slope Form, Standard FormLesson 36Solving Systems of Linear Equations by GraphingGraphing Linear Equations, Finding IntersectionLesson 37Graphing Linear InequalitiesGraphing Linear InequalitiesLesson 38Solving Systems of Linear Inequalities by GraphingGraphing Linear InequalitiesUnit 7Statistics & ProbabilityStatistics & Probability6 lessons2 WeeksWeek 11Lesson 39Introduction to StatisticsQuantitative & Qualitative Data, SamplingLesson 40Measures of Central Tendency & VariationMean, Median, Mode, and RangeLesson 41Displaying DataTwo-Way Tables, Line Plots, Histograms, Box and Whisker Plots, Scatter PlotsWeek 12Lesson 42ProbabilityProbability, Sample Space, Tree Diagrams, Fundamental Counting Principal, Complement of an EventLesson 43Compound EventsIndependent & Dependent EventsLesson 44Permutations and CombinationsPermutations Without Repetition, Factorial Functions, Combinations Without RepetitionUnit 8FunctionsFunctions3 lessons1 WeekWeek 13Lesson 45Relations & FunctionsRelations, Functions, Domain, Range, Vertical Line Test,Lesson 46Function NotationFunction Notation, Evaluation Functions,Lesson 47Application of FunctionsLinear & Nonlinear Functions, Input/Output ChartsUnit 9Polynomial OperationsPolynomial Operations4 lessons1 WeekWeek 14Lesson 48Adding & Subtracting PolynomialsAdding & Subtracting PolynomialsLesson 49Multiplying & Dividing ExponentsMultiplying & Dividing ExponentsLesson 50Multiplying & Dividing MonomialsMultiplying & Dividing MonomialsLesson 51Multiplying & Dividing PolynomialsMultiplying & Dividing PolynomialsUnit 10Factoring PolynomialsFactoring Polynomials5 lessons2 WeeksWeek 15Lesson 52Factoring Polynomials Using GCFFactorization, Greatest Common Factor, Factoring PolynomialsLesson 53Factoring Polynomials Using GroupingFactoring Polynomials Using GroupingWeek 16Lesson 54Factoring Trinomials When a=1FOIL Method, Factoring Trinomials When a=1Lesson 55Factoring Trinomials When a≠1Factoring Trinomials When a≠1Lesson 56Factoring Using Special FormulasDifference of Two Squares Formula, Perfect Square Trinomial Formula, Sum of Two Cubes and Difference of Two Cubes FormulasUnit 11RadicalsRadicals4 lessons1 WeekWeek 17Lesson 57Square Roots & Cube RootsSquare Roots, Perfect Squares, Cube RootsLesson 58Simplifying RadicalsSimplifying RadicalsLesson 59Adding & Subtracting RadicalsComponents of a Radical, Adding & Subtracting RadicalsLesson 60Multiplying & Dividing RadicalsMultiplying & Dividing Radicals, Rationalizing the DenominatorUnit 12Quadratic EquationsQuadratic Equations6 lessons2 WeeksWeek 18Lesson 61Introduction to Quadratic EquationsQuadratic EquationLesson 62Solving Quadratic Equations by FactoringFactoring Quadratic EquationsLesson 63Solving Quadratic Equations by Taking Square RootsSolving Quadratic Equations by Taking Square Roots, Square Root PropertyWeek 19Lesson 64Solving Quadratic Equations by Completing the SquareCompleting the SquareLesson 65Solving Quadratic Equations with the Quadratic FormulaQuadratic FormulaLesson 66The Discriminant and the Number of SolutionsDiscriminants, Finding the Number of Solutions for the Quadratic EquationUnit 13Quadratic FunctionsQuadratic Functions2 lessons1 WeekWeek 20Lesson 67Graphing Quadratic FunctionsQuadratic Functions, Direction, Vertex, Vertex Form, Maximum & Minimum, Axis of Symmetry, Intercepts, DiscriminantsLesson 68Solving Quadratic Equations by GraphingSolving Quadratic Equations by Graphing
Students will master key concepts for pre-algebra and Algebra 1 in preparation for higher mathematics.
Bachelor of Science in Accountancy, Homeschool Parent
Homework Offered
Worksheets and other practice opportunities provided with each lesson. Each lesson has at least one worksheet for additional practice with solutions provided separately. Weekly volume of homework varies based on lesson content and how many lessons are taught that week. Homework is optional.2 - 4 hours per week outside of class
Assessments Offered
Unit assessments are offered at the end of each unit as a printable assignment, solutions provided separately. A mid-term will also be offered after Unit 6 and a final exam after Unit 13. Assessments are optional.Grades Offered
Homework and test grades can be provided upon request if parents provide completed student homework. Please allow up to one week for grading feedback.
Please purchase a copy of "Everything You Need to Ace Pre-Algebra & Algebra 1 In One Big Fat Notebook" as the textbook for this course. Students will also find it helpful to have a calculator. A TI-30 will provide the minimum support a student needs, but a TI-83 or TI-84 will be able to be used in higher mathematics. Online algebra calculator also available here: https://mathsolver.microsoft.com/en/algebra-calculator
Please purchase a copy of "Everything You Need to Ace Pre-Algebra & Algebra 1 In One Big Fat Notebook" as the textbook for this course.
Average rating:4.9Number of reviews:(100)
I'm an accountant with a teaching background who enjoys learning and strives to foster a love of learning in students through games and interactive learning. I believe students learn best when they are having fun and interacting with the material....
Self-Paced Class
$25
weekly or $500 for all content68 pre-recorded lessons
20 weeks of teacher support
Choose your start date
1 year of access to the content
Ages: 11-15
