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Pre-Algebra: 01-Integers, Decimals, and Fractions
Pre-Algebra: 02-Beginning Algebra
Pre-Algebra: 03-Equations
Pre-Algebra: 04-Factors and Exponents
Pre-Algebra: 05-Proportions & Similarity
Pre-Algebra: 06-Percent
Pre-Algebra: 07-Linear Functions & Inequalities
Pre-Algebra: 08-Plane Figures
Pre-Algebra: 09-Solid Figures
Pre-Algebra: 10-Right Triangles
Pre-Algebra: 11-Beginning Polynomials
Pre-Algebra: 12-Statistics
I. Integers, Decimals, and Fractions
Lesson: Adding and Subtracting Real Numbers
Example: Evaluate 
Lesson: Factors
Example: What are the factors of 28?
Lesson: Greatest Common Factor (GCF)
Example: What is the greatest common factor of 48 and 32?
Lesson: Least Common Multiple (LCM)
Example: What is the least common multiple of 6 and 8?
Simplifying Fractions
Example: Simplify. Write your answer as a mixed number when possible. 
Converting Fractions and Decimals
Example: Write 
as a decimal
Writing Numbers with Words
Example: Write two hundred forty five million, three hundred six, seventy five as a number.
Lesson: Multiplying and Dividing
Example: What is 
?
II. Beginning Algebra
Lesson: Writing Algebraic Expressions
Example: Write the sum of nine and eighteen mathematically.
Lesson: Order of Operations
Example: Evaluate 
Combining Like Terms
Example: Simplify 
Lesson: Using the Distributive Property
Example: Distribute 
III. Equations
Lesson: One-Step Equations
Example: Solve for 
.
Two-Step Equations
Example: Solve for .
Lesson: Multi-Step Equations
Example: Solve for .
IV. Factors and Exponents
Divisibility
Example: 9,432 is divisible by which of the following?
Lesson: Properties of Exponents
Example: Simplify. Your answer should contain only positive exponents.
Lesson: Writing Scientific Notation
Example: Write 82,300,000 in scientific notation.
Lesson: Operations with Scientific Notation
Example: Evaluate. Write your answer in scientific notation.
V. Proportions and Similarity
Checking for a Proportion
Example: State if the pair of ratios forms a proportion.
and 
Lesson: Solving Proportions
Example: Solve for .
Proportions Word Problems
Example: A bag of 12 oranges is $5.40. At this rate, how much would a bag of 14 oranges be?
Similar Figures
Example: The two figures below are similar. Find the missing side.
Similar Figures Word Problems
Example: The scale of a map is 1 inch : 5 miles. If two cities are 4.5 inches apart on the map, how far apart are the real cities?
VI. Percents
Fractions, Decimals, and Percents
Lesson: Percents and Fractions
Lesson: Representing a Percent as a Decimal
Example: Write 
as a percent.
Lesson: Percents
Example: What percent of 240 is 185?
Lesson: Percent of Change
Example: What is the percent change from 22 to 35?
Markup, Discount, and Tax
Lesson: Discount & Tax
Lesson: Markup
Example:
-
- A bike was originally $440. The bike is on sale with a 30% discount. What is the sale price of the bike?
Simple and Compound Interest
Example: If you deposit $12,000 in the bank at a simple annual interest rate of 5%, how much would you have in the account after 5 years?
VII. Linear Equations and Inequalities
Plotting Points
Example: Which point is at (10, 7)?
Lesson: The Midpoint Formula
Example: What is the midpoint of the line segment with endpoints (2, 5) and (8, 12)?
Lesson: Slope
Example: Find the slope of each line.
Lesson: Graphing Linear Equations
Example: Choose the graph that corresponds to the function 
.
Lesson: Graphing Systems of Equations
Example: Choose the graph that corresponds to the function .
Lesson: Solving a System of Equations by Substitution
Example: Solve the following system of equations by graphing:
Lesson: System of Equations Word Problems
Example: Shaun bought a total of 24 muffins. Blueberry muffins are $2.25 each and chocolate chip muffins are $2.75 each. If the total cost of the 24 muffins is $56, how many of each muffin did he buy?
VIII. Plane Figures
Drawing and Measuring Angles
Example: Select the angle that measures 
.
Angle Relationships
Example: Name the relationship between the two labeled angles: complementary, supplementary, vertical, adjacent, alternate interior, corresponding, or alternate exterior.
Triangles
Example: Classify each triangle by its angles and sides.
Quadrilaterals
Classify each quadrilateral by its angles its sides.
Example:
Area of Triangles and Quadrilaterals
Example: Find the area of the figure below.
Circles
Example: Find the area of the circle below.
IX. Solid Figures
Classifying Solid Figures, Volume, and Surface Area
Example: Calculate the surface area of the figure below.
X. Right Triangles
Squares and Square Roots
Example: Evaluate 
Lesson: The Pythagorean Theorem
Example: Find the missing length to the nearest tenth.
Lesson: The Distance Formula
Example: Find the distance between the points (-2, 4) and (5, 12).
XI. Beginning Polynomials
Lesson: Adding and Subtracting Polynomials
Example: Simplify 
Multiplying Polynomials
Lesson: Multiplying a Polynomial by a Monomial
Lesson: Multiplying Binomials
Example: Simplify 
XII. Statistics
Visualizing Data
Lesson: Dot Plot
Lesson: Box-and-Whisker Plot
Example: Draw a dot plot for the data set below.
Example: Draw a box-and-whisker plot for the data set below.
Center and Spread
Example: Find the median, mean, and mean absolute deviation for the data set below.
Lesson: Scatter Plots
Example: Construct a scatter plot from the data set below. Determine if there appears to be a positive correlation, negative correlation, or no correlation. When there is a correlation, identify the relationship as linear or nonlinear.
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