 K12 Curriculum
 0 (Registered)

Credit Value: Fullyear course 1 credit
Anticipated Grade Level(s): Grade 8
Prerequisites: Satisfactory completion of grade 7 mathematics
Course Description:
The grade 8 curriculum is designed to provide an integrated course for students of all abilities. Students enrolled in this course are assumed to have mastered those concepts outlined in the grade 7 curriculum. A thorough treatment of advanced algebraic concepts is provided. Emphasis will be placed on practical applications and modeling throughout the course of study. Oral and written communication concerning the language of algebra, logic of procedures, and interpretation of results also should permeate the course.
Graphing utilities (graphing calculators or computer graphing simulators), computers, spreadsheets, and other appropriate technology tools will be used to assist in teaching and learning. They also provide an effective tool for solving/verifying equations and inequalities. Any other available technology that will enhance student learning should be used.
Innovative Interactive Instruction
In our selfpaced courses, students work their way through carefully scripted interactive lessons. These automated lessons lead students in mathematical conversations designed to engage, entertain, and educate. Each lesson reacts to student input, guiding them stepbystep through problems and tackling common misconceptions along the way. When students need extra help, they can turn to the class message board where instructors provide additional assistance.
Active Learning
Learning is not a spectator sport. Students best learn by tackling hard problems themselves, not by watching others do the work. Therefore, we start lessons with questions, challenging the students to find the key insights on their own. This teaches students how to create new mathematical strategies as needed. When students inevitably get stuck, we provide hints and more direct instruction to help them proceed. After students have solved a problem, we follow up with important concepts and strategies before moving on to the next problem.
Focus on NonRoutine, Challenging Problems
Thirty years ago, many intellectual careers consisted of repeatedly solving routine problems. Computers fill most of those roles now. Successful people in the next generation will need to develop new skills throughout their careers as their older skills become obsolete. To prepare our students for this challenging future, we go well beyond the basics in our courses, showing students how to apply fundamentals to problems that are not replicas of problems they’ve already seen. This teaches students how to learn, so they’ll be ready for the rigors of toptier colleges and internationally competitive careers.
Multiple Learning Avenues
Students learn in many ways, so we deliver instruction in multiple forms. In addition to our automated interactive lessons, our students can read the Prealgebra textbook, watch videos, solve many different types of homework problems, and participate in mathematical conversations with instructors and other students on the class message board and during office hours.
Course Content

Variables, Expressions, and Integers
8
Lecture1.1Expressions and Variables

Lecture1.2Powers and Exponents

Lecture1.3Order of Operations

Lecture1.4Comparing and Ordering Integers

Lecture1.5Adding Integers

Lecture1.6Subtracting Integers

Lecture1.7Multiplying and Dividing Integers

Lecture1.8The Coordinate Plane


Solving Equations
7
Lecture2.1Properties and Operations

Lecture2.2The Distributive Property

Lecture2.3Simplifying Variable Expressions

Lecture2.4Variables and Equations

Lecture2.5Solving Equations Using Addition or Subtraction

Lecture2.6Solving Equations Using Multiplication or Division

Lecture2.7Decimal Operations and Equations with Decimals


MultiStep Equations and Inequalities
6
Lecture3.1Solving TwoStep Equations

Lecture3.2Solving Equations Having Like Terms and Parentheses

Lecture3.3Solving Equations with Variables on Both Sides

Lecture3.4Solving Inequalities Using Addition or Subtraction

Lecture3.5Solving Inequalities Using Multiplication or Division

Lecture3.6Solving MultiStep Inequalities


Factors, Fractions, and Exponents
7
Lecture4.1Factors and Prime Factorization

Lecture4.2Greatest Common Factor

Lecture4.3Equivalent Fractions

Lecture4.4Least Common Multiple

Lecture4.5Rules of Exponents

Lecture4.6Negative and Zero Exponents

Lecture4.7Scientific Notation


Rational Numbers and Equations
7
Lecture5.1Rational Numbers

Lecture5.2Adding and Subtracting Like Fractions

Lecture5.3Adding and Subtracting Unlike Fractions

Lecture5.4Multiplying Fractions

Lecture5.5Dividing Fractions

Lecture5.6Using Multiplicative Inverses to Solve Equations

Lecture5.7Equations and Inequalities with Rational Numbers


Ratio, Proportion, and Probability
8
Lecture6.1Ratios and Rates

Lecture6.2Writing and Solving Proportions

Lecture6.3Solving Proportions Using Cross Products

Lecture6.4Similar and Congruent Figures

Lecture6.5Similarity and Measurement

Lecture6.6Scale Drawings

Lecture6.7Probability and Odds

Lecture6.8The Counting Principle


Percents
7
Lecture7.1Percents and Fractions

Lecture7.2Percents and Proportions

Lecture7.3Percents and Decimals

Lecture7.4The Percent Equation

Lecture7.5Percent of Change

Lecture7.6Percent Applications

Lecture7.7Simple and Compound Interest


Linear Functions
9
Lecture8.1Relations and Functions

Lecture8.2Linear Equations in Two Variables

Lecture8.3Using Intercepts

Lecture8.4The Slope of a Line

Lecture8.5SlopeIntercept Form

Lecture8.6Writing Linear Equations

Lecture8.7Function Notation

Lecture8.8Systems of Linear Equations

Lecture8.9Graphs of Linear Inequalities


Real Numbers and Right Triangles
8
Lecture9.1Square Roots

Lecture9.2Simplifying Square Roots

Lecture9.3The Pythagorean Theorem

Lecture9.4Real Numbers

Lecture9.5The Distance and Midpoint Formulas

Lecture9.6Special Right Triangles

Lecture9.7The Tangent Ratio

Lecture9.8The Sine and Cosine Ratios


Measurement, Area, and Volume
8
Lecture10.1Triangles

Lecture10.2Polygons and Quadrilaterals

Lecture10.3Areas of Parallelograms and Trapezoids

Lecture10.4Circumference and Area of a Circle

Lecture10.5Surface Areas of Prisms and Cylinders

Lecture10.6Surface Areas of Pyramids and Cones

Lecture10.7Volumes of Prisms and Cylinders

Lecture10.8Volumes of Pyramids and Cones


Data Analysis and Probability
9
Lecture11.1StemandLeaf Plots and Histograms

Lecture11.2BoxandWhisker Plots

Lecture11.3Using Data Displays

Lecture11.4Collecting Data

Lecture11.5Interpreting Data

Lecture11.6Permutations

Lecture11.7Combinations

Lecture11.8Probabilities of Disjoint and Overlapping Events

Lecture11.9Independent and Dependent Events


Polynomials and Nonlinear Functions
8
Lecture12.1Polynomials

Lecture12.2Adding and Subtracting Polynomials

Lecture12.3Multiplying Monomials and Polynomials

Lecture12.4Multiplying Binomials

Lecture12.5Other Rules of Exponents

Lecture12.6Quadratic Functions

Lecture12.7Exponential Growth and Decay

Lecture12.8Sequences


Angle Relationships and Transformations
7
Lecture13.1Angle Relationships

Lecture13.2Angles and Parallel Lines

Lecture13.3Angles and Polygons

Lecture13.4Translations

Lecture13.5Reflections and Symmetry

Lecture13.6Rotations and Symmetry

Lecture13.7Dilations

About the Instructor
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