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WITH THESE LESSONS (Click inside the graphic and Press Play Arrow Bottom)


BASIC MATH TOPICS

Hands-on Approach from Concrete to Representational to Abstract


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CHAPTER 1

ROOTS, BASE 10 NUMERAL SYSTEM

AND INTRODUCTION TO PROPERTIES OF EXPONENTS

1.- Square Root, Cubic Root and their geometric representation
2.- Introducing Base 10, Standard, Extended and Scientific Notations.
3.- Preview of Properties of Exponents from number sense as pure numeric exponential expressions to algebraic exponential expressions.

INSIDE EACH LESSON YOU MAY DO AS THIS GRAPHIC SHOWS

CHAPTER 2

ARITHMETIC WITH FRACTIONS

MODELING WITH RECTANGULAR FRACTION BARS

1.- Add and Subtract Fractions with Fraction Bars to Math Notation.
2.- Multiplying Fractions
3.- Proper and Improper Fractions a Conceptual Interpretation.
4.- Operations with Mixed Number a Conceptual Approach.
5.- Dividing Fractions.
6.- Practice Problems with Fractions: Modeling and Algorithm.

CHAPTER 3

ARITHMETIC OPERATIONS WITH DECIMALS

MODELING WITH BASE 10 10X10 TILES

1.- Adding Decimals.
2.- Subtracting Decimals.
3.- Multiplying Decimals.
4.- Dividing Decimals.
5.- Convert a Fraction to a Percent.

CHAPTER 4

PERCENTS A CONCEPTUAL APPROACH APPLYING

APPLICATION OF CONCEPTS IN CHAPTERS 1 TO 3

1.- Percent of a Number.
2.- Comparing Numbers as Percent.
3.- Percent of Increase and Percent of Decrease.
4.- Amount of a Discount as Percent.
5.- Simple Interest.

CHAPTER 5

OPERATIONS WITH BASES DIFFERENT THAN BASE 10: ENRICHMENT LESSONS

THESE SET OF LESSONS ARE NOT REQUIRED UNDER THE COMMON CORE

THEY WILL TEACH YOU TO WORK THE BINARY AND HEXADECIMAL OPTION IN YOUR GRAPHHING CALCULATOR

1.- Enrichment: Base Number Systems Introduction: Arithmetic Operations
2.- Enrichment: Arithmetic Operations With Base 16 or Hexadecimal in particular Multiplications
3.- Enrichment: Arithmetic Operations With Base Different than base 10: Divisions
4.- Enrichment: Lesson Introducing Bases Different than Base 10.
(This lesson might be the first to study from this section unless you are familiarized in expressing numbers with bases different than 10.)

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