Detailed Course Information

Operations Involving Whole Numbers

• Comparison of Whole Numbers
• Place Value and Rounding
• Reading Large Numbers
• Adding, Subtracting, Multiplying and Dividing Whole Numbers
• Multiplying, Dividing by Powers of Ten
• Solving an Equation
• Checking Solutions to Equations
• Factors and Factoring; Prime Factorization
• Rounding to Specific Place Values
• Divisibility Rules
• Exponential Notation
• Value of an Exponential Expression
• Square Numbers and Square Roots
• Estimating Square Roots
• Cubes and Cube Roots
• Grouping Symbols
• Adding, Subtracting Like Terms
• Order of Operations
• Commutative and Associative Property of Addition and Multiplication
• Distributive Property
• Working with Variables
• Proportional Reasoning
• Simplifying Fractions
• Finding Equivalent Fractions
• Finding the GCF
• Mixed Numerals as Improper Fractions
• Improper Fractions as Mixed Numerals
• Multiplying and Dividing Fractions
• Mixed Number Multiplication
• Finding the Reciprocal of a Fraction
• Solving for a Variable in an Equation Containing Fractions
• Finding the LCD of 2 or more numbers
• Using the LCD to Order Fractions
• Adding/Subtracting Fractions with Like/Unlike
• Denominators
• Properties of Real Numbers
• Order of Operations and Fractions
• Adding/Subtracting Fractional Terms containing Variables
• Decimal Notation, the Place Value of Digits in a Decimal Number
• Read and Write Decimal Numbers
• Order and Rounding Decimals
• Writing Fractions as Decimals, Decimals as Fractions
• Using Decimals to Compare Data
• Adding/Subtracting Decimal Numbers
• Adding/Subtracting Decimal Numbers containing variables
• Solving Equations containing Decimals
• Multiplying/Dividing Decimal Numbers
• Using Order of Operations with Decimals

• Measures: length, weight, time, volume
• Converting from one unit to another
• Adding/Subtracting Measurement
• Applications of Measurement
• The Metric System: length, mass, volume
• Converting Between American and Metric Units
• Fahrenheit and Celsius Scales
• Applications involving the Metric System
• Interpretation and Reading of Data using Graphs
• Graphing Data
• Pictographs, Stem-and-leaf Plots
• Bar Graphs, Line Graphs, Circle Graphs
• Applications Involving Graphs
• Samples as Statistical Measures
• Mean, Median, Mode
• Applications of Statistical Measures
• Ratio and Proportion
• Using Ratios to Compare Quantities
• Equivalent Ratios
• Using Ratio to Represent Rate
• Solving proportions
• Using Proportions to Solve Similar Triangles
• The Definition of Percent
• Writing: Percent as a Decimal, Decimal as a Percent, Percent as a Fraction, Fraction as a Percent
• Finding Percent Increase and Decrease
• Solving Percent Problems
• Signed Numbers
• Ordering Signed Numbers
• Absolute Value
• The Opposite of a Number
• Writing Subtraction as Equivalent Addition
• Adding, Subtracting, Multiplying and Dividing Signed Numbers
• Solving Equations Involving Signed Numbers
• Solving Equations of the form ax = b
• Exponential Notation and Signed Numbers
• Order of Operations with Signed Numbers
• Geometry
• Identifying Points, Lines, Segments, Rays
• Identifying Polygons
• Measuring an Angle
• Classifying Angles as Acute, Right, Obtuse, or Straight
• Complimentary, Supplementary, Adjacent, and Vertical Angles
• Tiling with Polygons
• Perimeter of a Polygon
• Area of a Rectangle, Parallelogram, Triangle, Trapezoid
• Circumference and Area of a Circle
• Surface Area and Volume of a Rectangular Prism
• Surface Area and Volume of a Cylinder
• Volume of a Cone, Hemisphere and Sphere
• Ratio of Circumference to Diameter
• The Sum of the Angle Measures of a Triangle
• Congruent Triangles
• Isosceles Triangles and Equilateral Triangles
• Right Triangles and the Pythagorean Theorem
• Parallel Lines and Transversals
• Recognizing Similar Polygons
• Writing a Similarity Statement
• Shortcuts to Determining Similar Triangles
• Measures of Corresponding Angles of Similar Triangles
• Lengths of Corresponding Sides of Similar Triangles

• Sets
• Subsets of real numbers: natural numbers, integers, rationals, irrationals
• Graphing real numbers on a number line
• Ordering symbols: =, <, >
• The absolute value of a real number
• Grouping symbols
• Exponents

• Prime factors
• Greatest common factor
• Least common multiple

• Reducing to lowest terms
• Multiplication and division
• Addition and subtraction

• Addition
• Subtraction
• Multiplication
• Division
• Order of operations
• Commutative law
• Associative law
• Distributive law
• Additive and multiplicative identities
• Inverses

• Constants and variables
• Terms and coefficients
• Combining like or similar terms
• Parentheses
• Evaluating expressions
• Formulas: Substitution

• Recognizing a linear equation
• The addition and subtraction principles for solving a linear equation
• The multiplication and division principles for solving a linear equation
• Combining the principles

• Equations with fractions as coefficients
• Equations with no solutions or infinitely many solutions
• Formulas: Solving for a particular unknown

• Translating words into algebraic expressions
• Number problems
• Age problems

• Recognizing solutions of linear inequalities
• Graphing solutions of inequalities in one variable
• The addition and subtraction principles for solving a linear inequality
• The multiplication and division principles for solving a linear inequality
• Combining the addition, subtraction, multiplication, and division principles
• Solving problems using inequalities

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