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USA Undergraduate
Pre Algebra
Curriculum
13 Sections
105 Lessons
60 Hours
Expand all sections
Collapse all sections
Algebraic Expressions and Integers
12
1.0
Place Value
1.1
Variables and Expressions
1.2
The Order of Operations
1.3
Writing and Evaluating Expressions
1.4
Integers and Absolute Value
1.5
Adding Integers
1.6
Subtracting Integers
1.7
Problem Solving: Rounding and Estimating
1.8
Inductive Reasoning
1.9
Patterns
1.10
Multiplying and Dividing Integers
1.11
The Coordinate Plane
Solving One-Step Equations and Inequalities
10
2.0
Properties of Numbers
2.1
The Distributive Property
2.2
Simplifying Variable Expressions
2.3
Variables and Equations
2.4
Solving Equations by Adding or Subtracting
2.5
Solving Equations by Multiplying or Dividing
2.6
Guess, Check, and Revise
2.7
Inequalities and Their Graphs
2.8
Solving One-Step Inequalities by Adding or Subtracting
2.9
Solving One-Step Inequalities by Multiplying or Dividing
Decimals and Equations
7
3.0
Rounding and Estimating
3.1
Estimating Decimal Products and Quotients
3.2
Mean, Median, and Mode
3.3
Using Formulas
3.4
Solving Equations by Adding or Subtracting Decimals
3.5
Solving Equations by Multiplying or Dividing Decimals
3.6
Using the Metric System
Factors, Fractions, And Exponents
9
4.0
Divisibility and Factors
4.1
Exponents
4.2
Prime Factorization and Greatest Common Factor
4.3
Simplifying Fractions
4.4
Rational Numbers
4.5
Exponents and Multiplication
4.6
Exponents and Division
4.7
Scientific Notation
4.8
Cube Roots
Operations with Fractions
7
5.0
Comparing and Ordering Rational Numbers
5.1
Fractions and Decimals
5.2
Adding and Subtracting Fractions
5.3
Multiplying and Dividing Fractions
5.4
Using Customary Units of Measurements
5.5
Solving Equations by Adding or Subtracting Fractions
5.6
Solving Equations by Multiplying Fractions
Ratios, Proportions, and Percentages
6
6.0
Ratios and Unit Rates,Proportions
6.1
Similar Figures and Scale Drawings
6.2
Probability
6.3
Fractions, Decimals, and Percentages
6.4
Percentages and Equations
6.5
Percent of Change
Solving Equations and Inequalities
8
7.0
Solving Two-Step Equations
7.1
Solving Multi-Step Equations
7.2
Multi-Step Equations with Fractions and Decimals
7.3
Write an Equation
7.4
Solving Equations with Variables on Both Sides
7.5
Solving Two-Step Inequalities
7.6
Transforming Formulas
7.7
Simple and Compound Interest
Linear Functions and Graphing
8
8.0
Relations and Functions
8.1
Equations with Two Variables
8.2
Slope and y-intercept
8.3
Writing Rules for Linear Functions
8.4
Scatter Plots
8.5
Solving Systems of Linear Equations by Graphing
8.6
Solving Systems of Linear Equations by Substitution
8.7
Graphing Linear Inequalities
Spatial Thinking
10
9.0
Introduction to Geometry: Points, Lines, and Planes
9.1
Angle Relationships and Parallel Lines
9.2
Classifying Polygons
9.3
Draw a Diagram
9.4
Congruence
9.5
Circles
9.6
Constructions
9.7
Translations
9.8
Symmetry and Rotations
9.9
Rotations
Area and Volume
8
10.0
Area of Parallelograms
10.1
Area of Triangles and Trapezoids
10.2
Area of Circles
10.3
Space Figures
10.4
Surface Area of Prisms and Cylinders
10.5
Surface Area of Pyramids, Cones, and Spheres
10.6
Volumes of Prisms and Cylinders
10.7
Volume of Pyramids, Cones, and Spheres
Right Triangles in Algebra
7
11.0
Square Roots and Irrational Numbers
11.1
The Pythagorean Theorem
11.2
Distance and Midpoint Formulas
11.3
Write a Proportion
11.4
Special Right Triangles
11.5
Sine, Cosine, and Tangent Ratios
11.6
Angles of Elevation and Depression
Data Analysis and Probability
8
12.0
Frequency Tables, Line Plots, and Histograms
12.1
Box-and-Whisker Plots
12.2
Stem and Leaf Plots
12.3
Counting Outcomes and Theoretical Probability
12.4
Independent and Dependent Events
12.5
Permutations and Combinations
12.6
Experimental Probability
12.7
Random Samples and Surveys
Polynomials
5
13.0
Polynomials
13.1
Adding and Subtracting Polynomials
13.2
Multiplying a Polynomial by a Monomial
13.3
Multiplying Binomials
13.4
Using Multiple Strategies
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