GED Mathematics Book 1 (preGED)

Auston B Cron, Wellerson Davi, Jul 8, 2018

[color=#c51414][b]G[/b]eneral [b]E[/b]ducational [b]D[/b]evelopment[/color] (GED) tests are a group of four subject tests which, when passed, certify that the test taker has American or Canadian high school-level academic skills. Here are some topics which can assist students in learning the mathematics covered on the GED/HiSET/TASC/GCSE [color=#c51414][b]G[/b]eneral [b]C[/b]ertificate of [b]S[/b]econdary [b]E[/b]ducation[/color]. Book 1 is a compilation of basic skills needed for success, but not tested. [b]Mostly PreGED Skills[/b] Book 2 has many activities which are tested. [b]Many GED Level Skills[/b] [b]GED Mathematics Book1[/b] [url]https://www.geogebra.org/m/j4UyPdKW[/url] [b]GED Mathematics Book 2[/b] [url]https://www.geogebra.org/m/mEs37yMj[/url] [b]GED Science[/b] [url]https://www.geogebra.org/m/kH5xMUpw[/url] [b]GED Slope[/b] [url]https://www.geogebra.org/m/cvAySD7E[/url] Thanks, Tim B. [b]Geometry Introduction[/b] [url]https://www.geogebra.org/m/dsGHMH8u[/url]

Table of Contents

  1. Introduction
    1. Isle of Math
  2. Place Value
    1. Practice Place Values
    2. Place Value
    3. Place Value for Decimals
    4. Place Value Cards - Input
    5. Place Value Cards - Random
    6. nlhukhlTwo-digit whole numbers
    7. Three-digit whole numbers
    8. Place Value: Addition
    9. Place Value: Subtraction
    10. Numbers to Words (hundreds)
    11. Number To Words
    12. Words to Numbers
    13. Rounding Whole Numbers
    14. Scientific Notation-Section 4.1
    15. Scientific Notation
  3. Arithmetic Skills
    1. Multiplication Practice
    2. Family of Addition/Multiplication Facts
    3. Integer Addition
    4. Integer Subtraction
    5. Integer Multiplication
    6. Integer Division
    7. Converting Decimals to Fraction
    8. Decimal Addition
    9. Decimal Subtraction
    10. Decimal Multiplication Practice
    11. Decimal Division
    12. Sieve of Eratosthenes
    13. Sieve of Eratosthenes
    14. Check if Number is Prime
    15. Prime Factors
    16. Find the LCM
    17. GCF and LCM
    18. Find the LCM(a,b,c)
    19. Factorization - Visual illustration of divisor pairs
    20. Fraction, Decimal, Percentage Equivalents
    21. Fraction Addition and Subtraction
    22. Integer Base/Exponents
    23. Broken Hundreds Chart
  4. Number Systems
    1. The Real Number System
    2. Venn Diagram Real Numbers
    3. Number Theory Sets
    4. Complex Number System
    5. Order of Operations
    6. Spiral of Pythagoras
    7. Multiplication is repeated Addition
    8. Division is Repeated Subtraction
    9. Subtraction is really Addition
    10. Divisibility Tests
    11. Integer Factors of Square Roots
    12. The Significance of a Negative Index (Power)
    13. The Universal Abacus
    14. sieve of eratosthenes
  5. Ratios, Proportion, Probability
    1. Comaparing Fractions
    2. Ordering Fractions
    3. Equivalent Fractions
    4. Ratios and Proportions Exploration 1.4
    5. Two fraction bars
    6. Fraction Comparison
    7. Fraction Flower
  6. Percents
    1. Percentage Problem
    2. percent grid
    3. dynamic percent grid
    4. percent mixture equation

1.

Introduction

  • 1. Isle of Math

1.1.

Isle of Math

Arithmetic: the branch of mathematics dealing with the properties and manipulation of numbers[br][br]The Isle of Mathematics floats in a Sea of Arithmetic. All special fields of mathematics are dependent on the "Laws of Arithmetic".
Geometry: earth measurements; a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space[br][br]Algebra: the language through which we describe patterns; it allows users to make general rules for arithmetic patterns; saves time for repetative processes[br][br]Trigonometry: a branch of mathematics that studies relationships involving lengths and angles of triangles.[br][br]Analytic Geometry: a branch of algebra that is used to model geometric objects - points, (straight) lines, and circles[br][br]Calculus: the mathematical study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations[br][br]More advanced chart: [url]http://meta.math.stackexchange.com/questions/6479/a-graph-map-of-math-se[/url]
Math Help Sheet Share My Lesson (Times Table, Signed Rules)
– Auston B Cron

2.

Place Value

I have added the work of some other contributors for completeness of the GED Math Book.

  • 1. Practice Place Values
  • 2. Place Value
  • 3. Place Value for Decimals
  • 4. Place Value Cards - Input
  • 5. Place Value Cards - Random
  • 6. nlhukhlTwo-digit whole numbers
  • 7. Three-digit whole numbers
  • 8. Place Value: Addition
  • 9. Place Value: Subtraction
  • 10. Numbers to Words (hundreds)
  • 11. Number To Words
  • 12. Words to Numbers
  • 13. Rounding Whole Numbers
  • 14. Scientific Notation-Section 4.1
  • 15. Scientific Notation

2.1.

Practice Place Values

Bilingual Practice of place value using sliders...
Practice Place Values
[url=http://tube.geogebra.org/m/2000837] Suri — November 7, 2015 - 2:10 AM[/url]
– Auston B Cron

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3.

Arithmetic Skills

Basic Skills Practice for multiplication, integers, and more. Several lesson allow you to change the [b]Max value[/b] by clicking on it and typing a new Max value. Great tool to learn Multiplication Tables :[url]http://mathsbot.com/activities/timesTables[/url] Sieve of Eratosthenes [url]http://mathsbot.com/activities/sieveOfEratosthenes[/url]

  • 1. Multiplication Practice
  • 2. Family of Addition/Multiplication Facts
  • 3. Integer Addition
  • 4. Integer Subtraction
  • 5. Integer Multiplication
  • 6. Integer Division
  • 7. Converting Decimals to Fraction
  • 8. Decimal Addition
  • 9. Decimal Subtraction
  • 10. Decimal Multiplication Practice
  • 11. Decimal Division
  • 12. Sieve of Eratosthenes
  • 13. Sieve of Eratosthenes
  • 14. Check if Number is Prime
  • 15. Prime Factors
  • 16. Find the LCM
  • 17. GCF and LCM
  • 18. Find the LCM(a,b,c)
  • 19. Factorization - Visual illustration of divisor pairs
  • 20. Fraction, Decimal, Percentage Equivalents
  • 21. Fraction Addition and Subtraction
  • 22. Integer Base/Exponents
  • 23. Broken Hundreds Chart

3.1.

Multiplication Practice

Small tool for students to practice multiplication tables. I recommend learning through the 16's. It is useful for factoring fractions and quadratic expressions. You can [b]change Max value[/b] by clicking on it and typing a new Max value.
[url=http://forum.geogebra.org/viewtopic.php?f=20&t=42797&p=158133#p158133]Idea implements ccambre answer[/url]
– Auston B Cron

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4.

Number Systems

Learning about Numbers: 1) Counting 2) Whole 3) Integers 4) Rational Numbers (includes Fractions and Repeating Decimals) 5) Irrational Numbers (Non-repeating Decimals) 6) Real Numbers 7) Non-Real Numbers (Imaginary) 8) Complex Numbers

  • 1. The Real Number System
  • 2. Venn Diagram Real Numbers
  • 3. Number Theory Sets
  • 4. Complex Number System
  • 5. Order of Operations
  • 6. Spiral of Pythagoras
  • 7. Multiplication is repeated Addition
  • 8. Division is Repeated Subtraction
  • 9. Subtraction is really Addition
  • 10. Divisibility Tests
  • 11. Integer Factors of Square Roots
  • 12. The Significance of a Negative Index (Power)
  • 13. The Universal Abacus
  • 14. sieve of eratosthenes

4.1.

The Real Number System

Here we will study the Real Number System. The vocabulary in this lesson will be used in every mathematics class.
Students are expected to know these concepts and vocabulary words for daily use.
– Auston B Cron

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4.11.

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5.

Ratios, Proportion, Probability

  • 1. Comaparing Fractions
  • 2. Ordering Fractions
  • 3. Equivalent Fractions
  • 4. Ratios and Proportions Exploration 1.4
  • 5. Two fraction bars
  • 6. Fraction Comparison
  • 7. Fraction Flower

5.1.

Comaparing Fractions

Can you find equivalent fractions with a common denominator that make it easy to compare the size of the [color=#1551b5]blue[/color] and [color=#0a971e]green[/color] fractions?
Comaparing Fractions
Source Neil Dickson [url=https://tube.geogebra.org/material/simple/id/1732919]Comparing Fractions[/url]
– Auston B Cron, Neil

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6.

Percents

  • 1. Percentage Problem
  • 2. percent grid
  • 3. dynamic percent grid
  • 4. percent mixture equation

6.1.

Percentage Problem

Percentage is one of life's continual problem. Everyone uses them daily, sometimes without knowing it. There are basically 3 unique percentage problems, all are presented here:[br]1) Find the percent of a number. (Usually calculator ready.)[br]2) Find what a number is when you are given the % and the whole.[br]3) Find what percent a number is of another number.[br]The second two require a little algebra to work. Here this algebra has been set to be a proportion which solves easily with all 3 types.
This [url=http://highered.mheducation.com/sites/0809222329/student_view0/chapter6/ged_practice_quiz.html]Practice Test[/url] was used to assist in creating this worksheet.
– Auston B Cron

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