* Concepts for Module One * Technology and Mathematics for Teachers (TMT) *

TMT is primarily for 5^th through 12^th Classroom Teachers

It is intended to present an alternate approach to teaching and learning Basic Mathematics.

Whole Numbers

Place Value, Standard Notation, Number Names, Expanded Notation,

Simple Addition, Subtraction, Multiplication, Division, Using Calculator

No Carry, No Borrow, Single Digit Multiplication, Single Digit Division

Concepts explained with words and with simple example using numbers

Speaking and Writing Whole Numbers with appropriate and correct words

Decimal Numbers

Place Value, Standard Notation, Number Names, Expanded Notation,

Simple Addition, Subtraction, Multiplication, Division, Using Calculator

Changing Decimals to Proper and Improper Fractions (Denominators of Tens)

Speaking and Writing Decimal Numbers with appropriate and correct words

Fraction Numbers

Numerator, Denominator, Proper Fraction, Improper Fraction

Simple Addition, Subtraction, Multiplication, Division

No Reduce, No Changing Denominators, Concentration on Operation

Concepts explained in words and drawings using Rectangles and/or Circles

Mixed Numbers

Whole and Fraction Numbers, Standard Notation, Expanded Notation

Change Mixed Number to Improper Fraction and Improper Fraction to Mixed Number

Simple Addition, Subtraction, Multiplication, Division

No Reduce, No Changing Denominators, Concentration on Operation

Concepts explained in words and drawings using Rectangles and/or Circles

Exponents ( 0 through 4 )

Notational or Symbolic Names, Standard Notation, Expanded Notation,

Simple Addition, Subtraction, Multiplication, Division, Using Calculator

Examples of Exponents: 4⁰ 4¹ 4² 4³ etc…

Square Roots ( 1 through 100 )

Notational Names, Standard Notation, Expanded Notation,

Simple Addition, Subtraction, Multiplication, Division, Using Calculator

Square Roots of type: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, etc…

Proportions Problems

Definition of Ratio, Definition of Proportion, The Law of Proportions

Simple Computational Solutions, Various Forms of Ratio & Proportions

Ratio & Proportions of type: Vertical = 2/3 Horizontal = 2:3 Words = 2 to 3

Provide words and examples of the four basic types of Proportional arrangements

Percent Problems

Definition of Percent Symbol, Equivalent of Percents: Fraction & Decimal

Conversion of Simple Percent Equations into Simple Proportions for Solutions

Conversion of Simple Percent Equations into Simple Algebra for Solutions

Percents of type: 25% 50% 75% 100% 125% etc…

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Tom Love * Malone College * Fall 2003