Details
Intermediate Mathematics B is the second of a threeyear middle school math sequence that prepares students for success in high school algebra. The course begins by developing an understanding of operations with rational numbers, which is applied to working with algebraic expressions and linear equations. This course also helps students develop understanding of proportional relationships and the use of these relationships to solve problems. Geometry topics focus on constructions of twodimensional figures; properties of circles; scale factors; and problems involving area, surface area, and volume. Finally, students use the tools of probability and statistics to solve basic probability problems and to make inferences based on population samples. This course aligns to national standards and is designed to focus on critical skills and knowledge needed for success in further mathematical studies, including high school algebra.
Course Outline
SEMESTER 1
Unit 1: The Basics
In this unit, students focus on the building blocks of basic algebra. Building on their understanding of numbers and operations, students use the order of operations to evaluate numerical expressions. Students also interpret, write, and evaluate expressions to solve realworld problems.
 Semester 1 Introduction
 Order of Operations
 Variable Expressions
 Writing Expressions for Word Phrases
 Related Equations
 Solving Problems
 Core Focus: Word Problems
 Core Focus: Interpreting Expressions
 Unit Review
 Unit Test
Unit 2: Addition and Subtraction on a Number Line
Number lines are a great way to show how to add and subtract numbers. In this unit, students take a look at how addition and subtraction can also be done with negative numbers, using the number line. Problem solving with integers is also emphasized.
 Integers on a Number Line, Part 1
 Integers on a Number Line, Part 2
 Adding Integers
 Subtracting Integers
 Core Focus: Distance
 Decimals on a Number Line
 Adding Decimals, Part 1
 Adding Decimals, Part 2
 Core Focus: Opposites in the Real World
 Unit Review
 Unit Test
Unit 3: Addition and Subtraction Properties
This unit focusses on facts, or properties, that are true when it comes to adding integers. For example, the commutative property states that the order in which numbers are added does not change the sum. Students explore this and other properties that will help them simplify expressions and solve equations.
 Subtracting Decimals, Part 1
 Subtracting Decimals, Part 2
 Addition and Subtraction Properties
 Core Focus: Absolute Value and Distance
 Equations Involving Addition and Subtraction
 Addition and Subtraction Applications
 Core Focus: Distances Between Rationals
 Unit Review
 Unit Test
Unit 4: Multiplication and Division
In this unit, students extend their previous understanding of multiplication and division to signed (positive and negative) numbers as well as other rational numbers. This unit also covers rounding and estimation as well as using equations to solve problems.
 Multiplying Integers and Decimals, Part 1
 Multiplying Integers and Decimals, Part 2
 Dividing Integers and Decimals
 Multiplication and Division Properties
 Core Focus: Closure
 Rounding and Estimation
 Equations Involving Multiplication and Division
 Multiplication and Division Applications, Part 1
 Multiplication and Division Applications, Part 2
 Core Focus: Modeling with Multiplication and Division
 Core Focus: Decimal Forms of Rational Numbers
 Unit Review
 Unit Test
Unit 5: Fractions
This unit covers addition, subtraction, multiplication, and division with fractions. This work is also extended to mixed numbers and other forms of rational numbers. These skills are then applied to solving equations and word problems involving rational numbers.
 Equivalent Fractions
 Multiplying Fractions
 Dividing Fractions
 Core Focus: Rational Numbers
 Common Denominators
 Adding and Subtracting Fractions
 Working with Mixed Numbers
 Multiplying and Dividing with Mixed Numbers
 Equations with Fractions
 Core Focus: Fractions and Mixed Numbers
 Core Focus: Applications with Rational Numbers
 Unit Review
 Unit Test
Unit 6: Combined Operations
The distributive property provides a powerful tool for working with expressions and equations that have both multiplication and addition. In this unit, the distributive property is used to work with numerical expressions as well as variable expressions and equations. Also, inequalities are used to solve problems.
 The Distributive Property
 Like Terms
 Core Focus: Variable Expressions
 Expressions with Mixed Operations
 Core Focus: Algebraic Expressions
 Equations with Mixed Operations
 Core Focus: Multistep Equations
 Inequalities
 Core Focus: Applications of Inequalities
 Unit Review
 Unit Test
Unit 7: Semester Review and Test
 Semester Review
 Semester Test
SEMESTER 2
Unit 8: Ratio, Proportion, and Percent
In this unit, students work with ratios and proportions. After work calculating and converting ratios, students also solve proportions, and use ratios, proportions, and percents to solve realworld problems.
 Semester 2 Introduction
 Ratios, Part 1
 Ratios, Part 2
 Word Problems with Ratios
 Core Focus: Unit Rates
 Proportion, Part 1
 Proportion, Part 2
 Percents, Fractions, and Decimals
 Working with Percent
 Core Focus: Identifying Proportions
 Unit Review
 Unit Test
Unit 9: Proportion Applications
Proportional thinking is important in many realworld applications. In this unit, students focus on many applications of and strategies for working with proportions. Applications include markup and discount, percent problems, simple interest, and problems from science.
 Similarity and Scale
 Proportion Problems
 Direct Linear Variation
 Core Focus: Graphing Proportions
 Percent Problems
 Percent of Increase and Decrease
 Core Focus: Percent Error
 Simple Interest
 Core Focus: Multistep Ratio and Percent Problems
 Core Focus: Constant of Proportionality
 Unit Review
 Unit Test
Unit 10: Plane Figures
In this unit, students focus on geometry. Angles, triangles, and quadrilaterals are the focus Special attention is given to constructing triangles and to calculating areas of triangles, quadrilaterals, and other polygons.
 Parallel Lines and Transversals
 Triangles
 Constructing Triangles
 Areas of Rectangles and Triangles
 Areas of Special Quadrilaterals
 Areas of Regular Polygons
 Core Focus: How Many Triangles?
 Unit Review
 Unit Test
Unit 11: Circles
Circles are some of the most useful geometric shapes. In this chapter, students learn how to compute the circumference and area of a circle, and use circles to solve realworld problems.
 Circles
 Circumference
 Areas of Circles
 Core Focus: Circumference and Area
 Unit Review
 Unit Test
Unit 12: Solid Figures
This unit starts with finding volumes of prisms and then looking at crosssections of solid figures. Next, students learn about surface area and then use properties of volume and surface area to solve problems.
 Volume and Capacity
 Volumes of Prisms
 Slicing Solids
 Surface Area
 Surface Areas of Prisms
 Properties of Volume and Surface Area
 Core Focus: Applications of Volume and Surface Area
 Unit Review
 Unit Test
Unit 13: Probability and Statistics
In this unit, students learn about simple probability and then probability of compound events. Next, the tools of statistics allow students to use samples to make predictions. Then, students use statistical graphs and measures of center and spread to compare populations.
 Probability
 Combined Probability
 Mutually Exclusive Events
 Core Focus: Compound Events
 Samples and Prediction
 Measures of Center
 Frequency Tables and Histograms
 Measures of Variability
 Comparing Populations
 Core Focus: Samples and Simulations
 Unit Review
 Unit Test
Unit 14: EndofYear Project
 Project Day 1
 Project Day 2
 Project Day 3
 Project Day 4
 Project Day 5
Unit 15: Semester Review and Test
 Semester Review
 Semester Test
To use this course, you'll need a computer with an Internet connection. Some courses require additional free software programs, which you can download from the Internet.
Hardware and Browsers (Minimum Recommendations)
Windows OS

CPU: 1.8 GHz or faster processor (or equivalent)

RAM: 1GB of RAM

Browser: Microsoft Internet Explorer 9.0 or higher, Mozilla Firefox 10.0 versions or higher, Chrome 17.0 or higher
 At this time our users are encouraged not to upgrade to Windows 10 or Edge (the new browser)
Mac OS

CPU: PowerPC G4 1 GHz or faster processor; Intel Core Duo 1.83 GHz or faster processor

RAM: 1GB of RAM

Browser: Firefox 10.0 versions or higher, Chrome 17.0 or higher (Safari is not supported!)
Using Mobile Devices with the Online School
Unfortunately, many portable devices do not support the software products required to run the Online School. These devices may include (but not limited to): Chromebooks, iPads, iPhones, iPods, Kindles, eReaders, and Andriod phones.
Internet Connections
It is highly recommended that a broadband connection be used instead of dial up.