Basic Mathematics
Mathematical Concepts
The Beverly Institute, Inc.
Part I
  1. Place Values
  2. Adding, Subtracting
  3. Multiplying
  4. Multiplying: Stack 2 digits by 2 digits
  5. Multiplying: Stack 3 digits by 2 digits
  6. Multiplying: Stack 4 or 5 digits by 2 digits
  7. Multiplying: Stack 3 digits by 3 digits
  8. Multiplying: Stack 4 digits by 4 digits
  9. Dividing: 2 digits by 1 digits
  10. Dividing: 3 or 4 digits by 2 digits
  11. Dividing: 4 -6 digits by 3 digits
  12. Dividing w/ zero as a place holder
  13. Rounding and Estimation
  14. Prime and Composite Numbers and Prime
    Factoring
  15. GCF (Greatest Common Factor)
  16. LCM (Least Common Multiply)
  17. Equivalent Fractions, Proper, Improper Fractions,
    Mixed Number, and Reducing
  18. Convert Fraction to Decimal
  19. Adding and Subtracting Fractions
  20. Subtracting w/ borrowing
  21. Multiplying Fractions
  22. Multiplying w/ Cancellation
  23. Reciprocals, Dividing Fractions, and Complex
    Fraction
  24. Comparing Decimals, Convert Decimal to
    Fraction  
  25. Mixed Numbers to Decimals
  26. Power of Ten (Multiplying and Dividing)
  27. Adding  and Subtracting Decimals
  28. Multiplying Decimals
  29. Estimation Decimals, and Rounding / Money
  30. Dividing / Decimal in divisor and dividend,
    Division Containing Zeros
  31. Repeating and Non-terminating, and Fraction-
    Decimal Equivalent
  32. Ratios and Proportions
  33. Changing % to Decimal and Fractions and
    Subtracting from 100%
  34. Finding the % of a number
  35. Percentage & Fractions
  36. Finding the Discount
  37. Percents less than 1% and Percents over 100 %
  38. More or Less in Percentages
  39. Finding what % one number is of another
  40. Finding the percent of increase or decrease
  41. Finding a number when a percent of it is given
  42. Linear Measures: Capacity, Time, and Weight
    (mass)
  43. Measure of Speed
  44. Converting English Measures
  45. Adding and Subtracting of Linear Measurements   
  46. Metric System: Capacity, and Mass
  47. Measures of Area and Volume
  48. Metric-English Relationship
  49. Temperature  
  50. Pictograph
  51. Sample and Population
  52. Range, Mean, Median, Mode
  53. Stem and Leaf Plot
  54. Bar, Line, Circle , Histogram graph
  55. Sets / Venn Diagrams
  56. Scale drawing
  57. Finding Distance on maps
  58. Probability
  59. Tally and Frequency Table
  60. Line Plots
  61. Income, Taxes
  62. Budgeting, Checking Account  
  63. Borrowing Money
  64. Investments, Insurance
This is an 6th-8th Grade Class
Completed Concepts
in Red
Part II
  1. Absolute Value
  2. Integers (Positive and Negative Numbers)
    Number Line
  3. Comparing
  4. Adding Integers
  5. Subtracting Integers
  6. Multiplying  and Division Integers
  7. Real Number System
  8. Algebra Terms
  9. Classifying Polynomials ( Monomial, Binomial,,)
  10. Degree of Polynomials
  11. Basic Algebra Expressions
  12. Adding of Like Terms
  13. Subtracting of Like Terms
  14. Combining Like Terms with Signed Numbers
  15. Removing Parentheses (addition and
    subtraction)
  16. Order of Operations (Positive and Negative
    Numbers)
  17. Evaluating Expressions (Substitution)
  18. Substitution with Signed Numbers
  19. Exponents (Rules, power to power, and raised to
    the zero, Negative Exponents, and Scientific
    Notation)
  20. Order of Operations with (Exponents, Positive
    and Negative Numbers)
  21. Multiplying of Powers (Same Base)
  22. Dividing of Powers (Same Base)
  23. Multiplying Monomials
  24. Dividing of Monomials
  25. Equations (addition)
  26. Equations (subtraction)
  27. Equations (multiplying and Division)
  28. Equations with several Operations ( Combining
    of like terms and Distribution)
  29. Double Sided Equations
  30. Double Sided Equations with (Combining of like
    terms and distribution)
  31. Equations Eliminating Fractions
  32. Equations Eliminating Decimals
  33. Equations Basic Word Problems
  34. Square Roots and Radicals
  35. Extracting the Square Root
  36. Inequalities (using all real numbers)

  38. Introduction to Inequalities
  39. Addition and Subtraction (properties of Addition
    and Subtraction)
  40. Multiplications and Division (properties of
    Multiplication and Division)
  41. Conjunctions
  42. Disjunctions
  43. Absolute Value Inequalities
  44. Beginning of Graphing and Vocabulary
  45. Coordinates in a Plane
  46. Order Pair
  47. Relations and Functions
  48. Graphs of Relations and Functions
  49. Graphs and Intercepts of Linear Equations
  50. Slopes of Lines
  51. Slope Intercept Form
  52. Point-Slope form of Linear Equations
  53. Finding the Equations of a Line Given Two points
  54. Direct Variation
  55. Graphing Linear Inequalities