Honors Pre-algebra

Placement Test Available

Enroll in this Course

Prerequisites: Qualifying math score and completion of grade 6 math or equivalent

Course Format: Individually Paced

Course Length: Typically 6 months

Course Code: PAL

Course Description

Description

This course covers a full-year honors curriculum and prepares students for success in Honors Algebra I. The course begins with a review of grade 6 concepts. Students proceed quickly through familiar material and take additional time on more difficult concepts.

Topics include:

operations involving fractions
decimals
ratio and proportion
percent, probability
signed numbers
measurement
interpretation of graphs
statistics
properties of real numbers
solving and graphing linear equations and inequalities
exponents
scientific notation
geometry

Materials Needed

There are no required materials for this course.

List of Topics

Whole Numbers

Reading and Writing Whole Numbers
Rounding Whole Numbers
Adding Whole Numbers
Subtracting Whole Numbers
Multiplying Whole Numbers
Dividing Whole Numbers
Properties of Whole Numbers

Integers

Integers and the Number Line
Adding and Subtracting Integers
Multiplying and Dividing Integers
Introduction to Exponents
The Order of Operations

Fractions

Factors and Prime Factorization
Multiples and Equivalent Fractions
Greatest Common Factor
Least Common Multiple
Multiplying Fractions and Mixed Numbers
Dividing Fractions and Mixed Numbers
Adding and Subtracting Fractions and Mixed Numbers

Decimals

Representing, Comparing, and Ordering Decimals
Rounding and Estimating Decimals
Adding and Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Converting between Fractions and Decimals

Variables, Expressions, and Equations

Variables and Expressions
Translating Words into Algebraic Expressions
Simplifying Algebraic Expressions
Translating between Tables and Equations
Equations and Their Solutions
Solving Addition Equations
Solving Subtraction Equations
Solving Multiplication Equations
Solving Division Equations

Solving Equations and Inequalities

Solving Equations Containing Integers
Writing and Solving Two-Step Equations
Writing and Solving Multi-Step Equations
Solving Equations with Variables on Both Sides
Inequalities
Solving Inequalities by Adding or Subtracting
Solving Inequalities by Multiplying or Dividing
Solving Two-Step Inequalities

Ratios, Proportions, and Percents

Ratios and Rates
Proportions
Finding an Unknown Value in a Proportion
Applications of Proportions
Introduction to Percents
Percents
Relating Percents, Decimals, and Fractions
Solving Percent Problems
Simple Interest

Measurement, Statistics, and Graphs

Understanding Customary Units of Measurement
Understanding Metric Units of Measurement
Converting Customary Units
Converting Metric Units
Time and Temperature
Organizing Data: Stem and Leaf and Line Plots
Bar Graphs and Histograms
Line Graphs
Reading and Interpreting Circle Graphs
Measures of Central Tendency: Mean, Median, Mode, and Range
Box-and-Whisker Plots
The Coordinate Plane
Tables and Graphs
Graphing Linear Equations
Graphing Using Intercepts
An Introduction to Slope
Finding the Slope Given Two Points

Geometry

Triangles
Quadrilaterals
Finding Angles in Polygons
Similar Figures
Congruent Figures
Perimeter
Area of Rectangles and Parallelograms
Area of Triangles and Trapezoids
Circles and Circumference
Area of Circles
Area of Composite Figures
Comparing Perimeter and Area
Square Roots and the Pythagorean Theorem
An Introduction to Three-Dimensional Figures
Volume of Prisms and Cylinders
Volume of Pyramids and Cones
Surface Area of Prisms and Cylinders
Surface Area of Pyramids and Cones
Volume and Surface Area of Spheres

Exponents and Polynomials

Product and Power Properties of Exponents
Integer Exponents
Quotient Properties of Exponents
Scientific Notation
An Introduction to Polynomials
Simplifying Polynomials
Adding and Subtracting Polynomials
Multiplying and Dividing Monomials
Multiplying Monomials by Polynomials

Probability

An Introduction to Probability
Experimental Probability
Counting Methods and Samples Spaces
Theoretical Probability
Compound Events
Making Predictions
Probability of Independent and Dependent Events
Permutations and Combinations

System Requirements

CTYOnline courses require a properly-maintained computer with Internet access and a recent-version web browser (such as Firefox, Safari, or Internet Explorer) with the Adobe Flash plugin. Students are expected to be familiar with standard computer operations (e.g. login, cut & paste, email attachments, etc).

This course requires high-speed Internet access (such as Cable or DSL) for online lesson videos. Your browser will need to allow javascript, login cookies, and popup windows from ctyjhu.org, bluejay.cty.jhu.edu, and any other course web sites.

You may also need the Java Runtime Environment.