Tutorial on the classification and sets of numbers. Learn what are natural numbers, integers, rational numbers and more. Also explains how to use your graphing calculator to input all types of numbers (integers, fractions, square roots, etc.).
This lesson covers the basics of equalities and inequalities: how to write results in interval notation, inequality notation, and set (set-builder) notation. Also explains in the printed notes how to use your graphing calculator to help you make comparisons between numbers.
Covers the typical operations done on numbers, including absolute value, opposites, addition, subtraction, multiplication, division and simple exponents. Order of Operations is covered in detail. Also explains how to use your graphing calculator to help you perform all these operations.
The basic properties of numbers: the Reflexive Property of Equality, the Symmetric Property of Equality, the Transitive Property of Equality, the Substitution Property, the Additive Property of Equality, the Cancellation Law of Addition, the Multiplicative Property of Equality, the Cancellation Law of Multiplication, the Zero-Factor Property, the Law of Trichotomy, the Transitive Property of Inequality, Properties of Absolute Value, the Closure Property of Addition, the Closure Property of Multiplication, the Commutative Property of Addition, the Commutative Property of Multiplication, the Associative Property of Addition, the Associative Property of Multiplication, the Identity Property of Addition, the Identity Property of Multiplication, the Inverse Property of Addition, the Inverse Property of Multiplication, the Distributive Law of Multiplication over Addition, the Distributive Law of Multiplication over Subtraction, the General Distributive Property, and the Negation Distributive Property.
This lesson gives you the preliminaries needed to do fractions. Explains factors, divisors, prime and composite numbers; how to do prime factorization; GCFs, LCMs, multiples, and the rules of divisibility. Also explains how to use your graphing calculator to help you find the GCF, LCM and multiples.
An informal introduction to why we need to learn about fractions. This lesson is different from the previous ones in that the use of printed Notes is integrated with the Video (other Notes may be used independently of the videos). This lesson is VERY detailed and covers the necessary areas to help students review the many aspects of fractions and fraction conversions. Also shows you how to perform all the many different fraction operations and conversions using the TI-84+ Graphing Calculator.
Concepts covered: Denominator, Numerator, Common Fraction, and Unit Fraction. Also teaches you how to draw typical fractions on a circle.
Concepts covered: Proper Fraction, Improper Fraction, Mixed Number, and Complex Fraction.
Concepts covered: Like Fractions, Common Denominator, Equivalent Fractions, Reduced Fraction, Lowest Terms (or Simplest Form), the Cancellation Method, the GCF Method, and Higher Form.
Concepts covered: Least (or Lowest) Common Denominator and how to compare the sizes of different fractions.
Concepts covered: Decimal Fraction, Percentage, and Ratio.
Concepts covered: Step-by-Step directions on how to perform (by hand and using the calculator) the following conversions: Improper Fraction → Mixed Number, Mixed Number → Improper Fraction, Common Fraction → Decimal Form, Terminating Decimal → Fraction, Repeating Decimal → Fraction (calculator only—by hand is covered in Algebra), Decimal → Percentage, Common Fraction → Percentage, Percentage → Decimal, Percentage → Common Fraction, Converting Ratios.
Concepts covered: Multiplication of Improper and Proper Fractions and also Mixed Numbers.
Concepts covered: Reciprocal, Inverting a Fraction, Division of Improper, Proper and Complex Fractions and Mixed Numbers. Converting Complex Fractions to Simple Fractions is also done here.
Concepts covered: Addition of Improper and Proper Fractions and also Mixed Numbers.
Concepts covered: Subtraction of Improper and Proper Fractions and also Mixed Numbers.
Step-by-step answers to the quiz that is at the end of the Lesson Notes.
Covers Units of Time, Units of Length (Metric and U.S.), Units of Area (Metric and U.S.), Units of Volume (Metric and U.S.), Units of Mass (Metric and U.S.), Units of Liquid Capacity (Metric and U.S.), Units of Dry Capacity (Metric and U.S.), and other miscellaneous units. Conversion Formulas and Abbreviations are also listed. This is a must have Lesson for those moving on to solving Word Problems in Algebra and other higher math.
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|Last updated 17 July 08|