Intermediate Math

Castle Learning Online's Intermediate Math is a comprehensive review of mathematics, targeted to Middle School students. Features include:

• A wide range of math topics spanning grades 6-8
• A Question and Answer activity that includes a mix of multiple choice and fill-in types of questions
• Questions that incorporate supplementary data including tables, charts, graphs and diagrams
• Includes many colorful graphics
• Extensive vocabulary with examples and illustrations.
• Questions that require a calculator are tagged as a special attribute
• Many word problems are included with applications to science, social studies and other real-life situations
• A skill review activity allows students to work with an unlimited number of computer-generated questions, allowing student to work on basic skills tied to specific units
• Themes are aligned to state and national learning standards
• Flash cards based on the vocabulary terms

Units: (click to view Sections)

1. Analyzing Data
   
   Sections:
   

   1. Frequency Tables, Scales and Intervals
   2. Bar Graphs and Histograms
   3. Line Graphs
   4. Circle Graphs
   5. Stem-and-Leaf Plots
   6. Line Plots
   7. Measurements of Data
   8. Box-and-Whisker Plots
   9. Scatter Plots
2. Working with Decimals
   
   Sections:
   

   1. Decimal Numbers
   2. Comparing and Ordering Decimals
   3. Rounding and Estimating with Decimals
   4. Adding and Subtracting Decimals
   5. Multiplying Decimals by Whole Numbers
   6. Multiplying Decimals
   7. Dividing Decimals by Whole Numbers
   8. Dividing Decimals
   9. Metric Units of Measurement
   10. Powers of Ten and Scientific Notation
3. Working with Fractions
   
   Sections:
   

   1. Factors and Multiples
   2. Fractions and Mixed Numbers
   3. Comparing, Ordering and Rounding Fractions and Mixed Numbers
   4. Adding and Subtracting with Fractions and Mixed Numbers
   5. Multiplying with Fractions and Mixed Numbers
   6. Dividing with Fractions and Mixed Numbers
   7. Fractions, Decimals, and Percents
   8. Customary Units of Measurement
4. Ratios, Proportions and Percents
   
   Sections:
   

   1. Ratios and Rates
   2. Proportions
   3. Percents
   4. Percent Increase or Decrease
   5. Money Discounts, Markups, Sales Tax and Tips
   6. Simple Interest
   7. Indirect Measurement: Scale Drawings and Similar Polygons
   8. Money: Rates of Exchange
5. Integers, Rational Numbers and Real Numbers
   
   Sections:
   

   1. Integers and Signs
   2. Adding and Subtracting Integers
   3. Multiplying and Dividing Integers
   4. Rational Numbers
   5. Properties of Numbers
   6. Square Roots and Real Numbers
   7. Exponents
6. Algebra: Equations and Functions
   
   Sections:
   

   1. Order of Operations
   2. Simplifying Expressions
   3. Writing Variable Expressions for Word Phrases
   4. Solving One Step Addition/Subtraction Equations
   5. Solving One Step Multiplication/Division Equations
   6. Solving Multi-Step Equations
   7. Simplifying and Solving Equations
   8. Working with Formulas
   9. Solving and Graphing Inequalities
   10. Functions
   11. Adding and Subtracting Polynomials
   12. Multiplying Binomials and Polynomials
   13. Factoring
7. Graphing: Working with Coordinates
   
   Sections:
   

   1. Graphing Coordinates
   2. Equations in Two Variables
   3. Graphing Equations
   4. Non-Linear Equations
8. Geometry: Patterns
   
   Sections:
   

   1. Points, Lines, Planes and Angles
   2. Triangles, Quadrilaterals and Polygons
   3. Symmetry, Size and Shape
   4. Circles
   5. Transformations, Translations, Reflections, Rotations, Dilations
   6. Congruent Figures
9. Geometry: Measurements
   
   Sections:
   

   1. Perimeter
   2. Area of Parallelograms, Triangles, and Trapezoids
   3. Special Properties of Right Triangles - Trigonometry
   4. Area and Circumference of Circles
   5. Area of Irregular Figures
   6. Three Dimensional Figures
   7. Prisms and Pyramids
   8. Cylinders, Cones, and Spheres
   9. Measurement: Precision and Significant Digits
   10. Constructions
   11. Area of Shapes on the Coordinate Plane
10. Probability
    
    Sections:
    

    1. Probability Ratios
    2. Independent and Dependent Events
    3. Permutations
    4. Combinations
    5. Making Predictions
11. Problem Solving
    
    Sections:
    

    1. Draw a Diagram
    2. Guess and Test
    3. Working Backwards
    4. Writing an Equation
    5. Identifying Patterns and Making Tables
    6. Logical Reasoning
    7. Estimation

Themes:

1. Mathematical Reasoning
2. Number and Numeration
3. Operations
4. Modeling and Multiple Representation
5. Measurement
6. Uncertainty
7. Patterns and Functions

Attributes:

1. Diagram
2. Data Table
3. Graph
4. Word Problem
5. Calculator