MIDDLE SCHOOL: MATH III

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Course Name: M/J Mathematics 3
Course Code: 1205070
Honors Course Code:
AP Course Code:

Description:

If you like music, then you will love math. . . well, almost. The truth is, every musical note can be measured by its frequency and every drumbeat can be measured by an interval of time. It took hundreds of years to create the musical scales we have today, but you can be sure that someone had to do the math.

In this course, you’ll learn about numbering systems, measurement, data analysis, geometry and algebra. You’ll see that music and many other human activities depend on getting the numbers right. You’ll interact with course materials, visit websites, participate in hands-on activities, and watch instructional videos. You’ll even get to create your own music CD cover using your geometric skills.

Math and music are not exactly the same. But in this course, you’ll find that math can be a lot of fun, and solving problems can be very satisfying. You’ll also learn that math can be a part of your life that is at least as important as music.

Prerequisites: Recommended for 8th Grade

Estimated Completion Time: 2 segments / 32-36 weeks

Major Topics and Concepts:

Segment 1

* Understanding Place Value
* Whole numbers with real world applications
* Comparing, Estimating, Rounding, and Operations with Whole Numbers
* Exploring Properties of Addition and Multiplication
* Understanding Fraction Models
* Exploring Equivalent Fractions
* Reducing Fractions
* Converting Between Improper Fractions and Mixed Numbers
* Comparing Fractions and Mixed Numbers
* Operations with Fractions and Mixed Numbers
* Understanding Place Value and Decimal Representation
* Connecting Decimals and Fractions
* Ordering, Comparing, and Rounding Decimals
* Introducing Percents
* Operations with Decimals
* Introducing Integer Concepts
* Comparing Integers
* Exploring Opposites and Absolute Value
* Operations with Integers
* Exploring the Order of Operations
* Solving Absolute Value Operations
* Understanding Exponents
* Representing Large Numbers
* Introducing Negative Exponents
* Representing Small Numbers
* Converting Between Scientific and Standard Notation
* Introducing Rational Numbers
* Exploring Terminating and Repeating Decimals
* Understanding Real Numbers and Roots
* Introducing Irrational Numbers
* Exploring Types of Numbers

Segment 2

* Understanding Ratios
* Exploring Equal Ratios
* Introducing Proportions
* Developing Proportional Reasoning
* Solving Proportions
* Understanding Percents as Proportions
* Converting Fractions, Decimals, and Percents
* Solving Percent Increase and Decrease Problems
* Solving Applications of Percents
* Making Comparisons
* Using Models of Units of Measure
* Measuring with Informal Units
* Converting Within Standard and Metric Units
* Measuring Perimeter and Circumference
* Measuring Area and Surface Area
* Measuring Volume and Capacity
* Measuring Weight and Mass
* Measuring Angles
* Estimating Measures
* Sorting and Classifying Shapes in Two-Dimensions
* Sorting and Classifying Shapes in Three-Dimensions
* Constructing Shapes
* Investigating Transformations
* Exploring Reflections and Translation
* Exploring Rotations and Dilations
* Investigating Line and Rotational Symmetry
* Understanding Congruency and Similarity
* Describing Patterns Using Tessellations
* Searching for Patterns
* Evaluating Expressions
* Combining Like Terms
* Introducing Variables and Equations
* Solving Equations
* Solving Two-Step Equations
* Introducing Inequalities
* Graphing on the Coordinate Grid
* Understanding Functions
* Representing Functions as Graphs and Equations
* Exploring Function Machines
* Gathering Data
* Classifying Data
* Representing Data - Pictographs
* Representing Data – Bar Graphs and Histograms
* Representing Data – Stem and Leaf Plots
* Representing Data – Circle Graphs
* Representing Data – Line Graphs
* Choosing the Appropriate Representation
* Understanding Mean, Median, and Mode
* Introducing Probability
* Determining Probability for Simple Events
* Exploring Dependent and Independent Events
* Determining Odds For and Odds Against

Course Assessment and Participation Requirements:

Besides engaging students in challenging curriculum, VLACS guides students to reflect on their learning and to evaluate their progress through a variety of assessments. Assessments can be in the form of self-checks, practice lessons, multiple choice questions, true/false questions, writing assignments, projects, essays, oral assessments, and discussions. Instructors evaluate progress and provide interventions through the variety of assessments built into a course, as well as through contact with the student in other venues.