George's Math Aid

MAT 025 - Arithmetic Review

Course Materials
1-First Day Talk	5-Policy on Cheating
2-Classroom Procedure	6-Test Sheet: Grid, Lined
3-Stationery Supplies	7-Sample Test Results - PASS
4-Notebook Sample
Other Materials
MAT 025 Course Content	Multiplication Tables
MAT 025 Lecture Notes	Grid Format: Filled-In Table, Blank Table
Arithmetic Worksheet Grid	List Format: Filled-In List, Blank List
	Skip Counting: Filled-In List, Blank List
Math-Drills.com
Addition Facts Table - List Format - Filled-In
Subtraction Facts Table - List Format - Filled-In
Multiplication Facts Table - List Format - Filled-In
Division Facts Table - List Format - Filled-In

Quick Links to Modules

Module 0 Basic Math

Module 1 Whole Numbers

Module 2 Fractions and Mixed Numbers

More Resources

Module 0 Basic Math

Quick Links to Module 0 Practice Assignments:

M0.1 Counting and Comparing

M0.2 Begin to Add

M0.3 Begin to Subtract

M0.5 Add and Subtract Two- and Three-Digit Numbers

M0.6 Multiply Numbers Through 12

M0.1 Counting and Comparing

George Hartas - Videos
Khan Academy - Videos
- Counting
- Inequalities: Greater Than and Less Than Basics
  - Greater Than and Less Than Symbols

M0.2 Begin to Add

George Hartas - Video
- M0.2 Practice: Add Single-Digit Whole Numbers
Math-Drills.com - Math worksheets
- Addition Facts Table - List Format - Filled-In
Khan Academy - Videos

M0.3 Begin to Subtract

George Hartas - Video
- M0.3 Practice: Subtract Single-Digit Whole Numbers
Math-Drills.com - Math worksheets
- Subtraction Facts Table - List Format - Filled-In
Khan Academy - Videos

M0.5 Add and Subtract Two- and Three-Digit Numbers

George Hartas - Videos
- M0.5 Practice 1: Add Two- and Three-Digit Numbers
- M0.5 Practice 2: Subtract Two- and Three-Digit Numbers
- M0.5 Practice 3: Commutative and Associative Property of Addition
- Extra Videos on Addition and Subtraction:
  - Addition
  - Subtraction
Khan Academy - Videos
- Addition
  - Intro to Addition With 2-Digit Numbers
    - Adding 2-digit Numbers Without Regrouping 1
    - Adding 2-digit Numbers (No Carrying)
    - Breaking Apart 2-digit Addition Problems
    - Regrouping to Add 1-digit Number
  - Strategies for Adding Within 100
    - Adding 53+17 by Making a Group of 10
    - Adding by Making a Group of 10
    - Strategies for Adding 2-digit Numbers
  - Addition Within 100
    - Adding 2-digit Numbers Without Regrouping 2
    - Adding With Regrouping
  - Adding 1s, 10s, and 100s
    - Adding 10 or 100
    - Adding 1s, 10s, and 100s
    - Adding 3-digit Numbers (No Regrouping)
  - Addition With Regrouping Within 1000
    - Adding 3-Digit Numbers With Regrouping
  - Addition and Subtraction Greater Than 1000
    - Multi-Digit Addition With Regrouping
    - Regrouping (Borrowing) Twice Example
- Subtraction
  - Intro to Subtraction With 2-Digit Numbers
    - Subtracting 2-digit Numbers Without Regrouping 1
    - Subtracting a 1-digit Number With Regrouping
  - Subtraction Within 100
    - Subtracting 2-digit Numbers Without Regrouping 1
    - Subtracting With Regrouping (Borrowing)
  - Subtracting 1s, 10s, and 100s
  - Subtraction With Regrouping Within 1000
    - Subtracting 3-Digit Numbers (Regrouping From 0)
Math Worksheets - by Math-Drills.com
- Addition
- Subtraction

M0.6 Multiply Numbers Through 12

Multiplication Facts Workbook by George Hartas
George Hartas - Videos
Multiplication Tables
- Grid Format: Filled-In Table, Blank Table by George Hartas
- List Format: Filled-In List, Blank List
- Skip Counting: Filled-In List, Blank List by George Hartas
- Lattice Method: Blank Grid
Math-Drills.com - Math worksheets
- Multiplication Facts Table - List Format - Filled-In
Math Is Fun
- Learn Your Multiplication Tables
- Math Trainer - Multiplication
Multiplication Made Easy by Talesof4thGrade
How to Easily Memorize the Multiplication Table by The Great Courses
Multiplication Memorization by David Newman
Learn Your Multiplication Facts In Under 10 Minutes by Complabteacher
How to Build Your Own Multiplication Table by Mrs. Stephens' 4th grade
Khan Academy - Videos
- Multiplication Intro
- Multiplication Facts
  - Multiplication: 2-9 Times Tables
  - Multiplication: 10, 11, 12 Times Tables
- Properties of Multiplication
  - Properties of Multiplication
  - Properties and Patterns for Multiplication
Math Worksheets - by Math-Drills.com
- 5-Minute Multiplication Frenzy
  - Multiplication Frenzy - 5-Minute - 2 to 12
  - Multiplication Frenzy - 5-Minute - 2 to 12 - 4 Charts
- Multiplication Facts 2 to 12

Module 1 Whole Numbers

Quick Links to Module 1 Practice Assignments:

M1.1 Reading and Writing Whole Numbers

M1.3 Adding and Subtracting Whole Numbers

M1.4 Multiplying Whole Numbers

M1.5 Dividing Whole Numbers

M1.2 Comparing and Rounding Whole Numbers

M1.6 Estimate by Rounding

Order of Operations - PEMDAS

M1.1 Reading and Writing Whole Numbers

George Hartas - Videos
- M1.1 Practice 1: Place Value
- M1.1 Practice 2: Word Name and Standard Notation
Place-Value Chart - Examples by Pearson
Math Antics - YouTube
- Place Value
Khan Academy - Videos
- Intro to Place Value
  - Finding Place Value
- How 10 Relates to Place Value
  - Comparing Place Values
- Ways to Write Numbers (Expanded Form and Written Form)
  - Writing a Number in Expanded Form
  - Writing a Number in Standard Form
Standard Notation Worksheets by Professor Yasmin Boolakee-Pant, DCCC

M1.3 Adding and Subtracting Whole Numbers

George Hartas - Videos
- M1.3 Practice 1: Adding Multi-digit Numbers
- M1.3 Practice 2: Subtracting Multi-digit Numbers
- Extra Videos on Addition and Subtraction:
  - Addition
  - Subtraction
Math Antics - YouTube
- Multi-Digit Addition
- Multi-Digit Subtraction
Math Worksheets - by Math-Drills.com
- Add 4-Digit and 4-Digit Numbers
- Subtract 4-Digit from 4-Digit Numbers

M1.4 Multiplying Whole Numbers

George Hartas - Videos
- M1.4 Practice 1: Multiplying Whole Numbers
- M1.4 Practice 2: Multiplying Whole Numbers
Multiplication Walkthrough - Shown on Two Sides by George Hartas
Multiplication Walkthrough - Shown on One Side by George Hartas
Multiplication Worksheet Grid - 2x2 or 3x2-Digit Numbers by George Hartas
Multiplication Worksheet Grid - 3x3-Digit Numbers by George Hartas
Math Antics - YouTube
- Multi-Digit Multiplication Part 1
- Multi-Digit Multiplication Part 2
Khan Academy - Videos
- Multi-Digit Multiplication
Math Worksheets - by Math-Drills.com

M1.5 Dividing Whole Numbers

George Hartas - Videos
- M1.5 Practice 1: Divide with Zero, Short Division
- M1.5 Practice 2: Long Division
Math-Drills.com - Math worksheets
- Division Facts Table - List Format - Filled-In
Division Walkthrough - All Steps Shown by George Hartas
Division Walkthrough - Four Steps Shown by George Hartas
Division Worksheet Grid by George Hartas
Short Division Example by George Hartas
Division With Zero
Long Division Steps by Alamance-Burlington School System, NC
Math Antics - YouTube
- Basic Division
- Long Division
Khan Academy - Videos
- Relating Multiplication and Division
  - Relating Division to Multiplication
- Division Intro
- Division Problems That Work Out Nicely
  - Canceling Zeros When Dividing
- Multi-Digit Division (No Remainder)
  - Intro to Long Division (No Remainder)
  - Long Division: 280 / 5
- Division With Remainder
- Multi-Digit Division (With Remainder)
Math Worksheets - by Math-Drills.com

M1.2 Comparing and Rounding Whole Numbers

George Hartas - Video
- M1.2 Practice: Rounding
Rounding by George Hartas
Math Antics - YouTube
- Rounding
Khan Academy - Videos
Math Worksheets - by Math-Drills.com

M1.6 Estimate by Rounding

George Hartas - Video
- M1.6 Practice: Estimate by Rounding
Khan Academy - Videos
- 2-Step Estimation Problem: Marbles
- Multiplication Estimation Example
Math Worksheets - by Math-Drills.com

Order of Operations - PEMDAS

Order of Operations - PEMDAS by George Hartas
Order of Operations: A Step-By-Step Guide - PEMDAS - Video by Math with Mr. J.

Module 2 Fractions and Mixed Numbers

Quick Links to Module 2 Practice Assignments:

• Skills Checklist For Module 2 by George Hartas

Basics of Fractions

Basics of Mixed Numbers

Equivalent Fractions

Multiplying Fractions

Dividing Fractions

Least Common Multiples and Least Common Denominator

Adding and Subtracting Unlike Fractions

Basics of Fractions

George Hartas - Videos
Khan Academy - Videos
- Factors and Multiples
  - Finding Factors of a Number
  - Finding Factors and Multiples
- Prime Numbers
  - Prime Numbers
  - Recognizing Prime and Composite Numbers
- Prime Factorization
Divisibility Rules by George Hartas
Prime Numbers from 2 to 97 by George Hartas
Prime Numbers by George Hartas
Prime Factorization by George Hartas
Prime Factorization - Video by Mathispower4u

Basics of Mixed Numbers

George Hartas - Videos
- M2.2 Practice 1: Convert Mixed Number to Improper Fraction and Reverse - Part 1
- M2.2 Practice 1: Convert Mixed Number to Improper Fraction and Reverse - Part 2
Khan Academy - Videos
- Mixed Numbers
- Adding and Subtracting Mixed Number with Unlike Denominators

Equivalent Fractions

George Hartas - Videos
- M2.3 Practice: Reduce Fraction to Lowest Terms
- M2.4 Practice: Equivalent Fractions
Khan Academy - Videos
- Divisibility Rules
  - Divisibility tests for 2, 3, 4, 5, 6, 9, 10
  - Recognizing Divisibility
- Fractions Intro
- Fractions on the Number Line
  - Fractions on the Number Line
  - Fractions on the Number Line Widget
- Equivalent Fractions
Divisibility Rules by Germanna Community College
Simplifying Fractions - Video by Mathispower4u
Introduction to Fractions by Germanna Community College

Multiplying Fractions

George Hartas - Video
- M2.5 Practice: Multiplying Fractions
Khan Academy - Videos
- Multiplying Whole Numbers and Fractions
  - Multiplying Fractions and Whole Numbers Visually
  - Multiplying Fractions and Whole Numbers 2
- Multiplying Fractions
- Multiplying Mixed Numbers
  - Multiplying Mixed Numbers

Dividing Fractions

George Hartas - Video
- M2.6 Practice: Dividing Fractions
Khan Academy - Videos
- Fractions as Division
  - Understanding Fractions as Division
- Dividing Fractions by Fractions
- Division: Whole Numbers & Fractions (Word Problems)
  - Dividing Whole Numbers & Fractions: T-Shirts
  - Dividing Fractions by Whole Numbers: Studying

Least Common Multiples and Least Common Denominator

George Hartas - Videos
- M2.7 Practice: Add and Subtract Fractions - Like Denominators
- M2.8 Practice: Least Common Multiple (LCM) and Lowest Common Denominator (LCD)
Khan Academy - Videos
Least Common Multiple by George Hartas

Adding and Subtracting Unlike Fractions

George Hartas - Video
- M2.9 Practice: Add and Subtract Fractions - Unlike Denominators
Khan Academy - Videos
- Common Denominators
- Adding and Subtracting Fractions with Like Denominators
  - Adding Fractions with Like Denominators
  - Subtracting Fractions with Like Denominators
- Adding and Subtracting Fractions with Unlike Denominators
- Comparing Fractions

More Resources

Khan Academy - Videos
- Math by Subject
  - Early Math
  - Arithmetic
- Math by Grade
  - Kindergarten
Mathispower4u - Videos
- Number Sense Video Library
- Prealgebra Video Library
Virtual Nerd - Videos
- Number Sense and Algebraic Reasoning

Developmental Mathematics, 8th Ed., Bittinger

» Videos by Bittinger Developmental Math

Chapter 1 - Whole Numbers

George Hartas, MS
Educational Assistant for Mathematics Remediation
Delaware County Community College
- Spring 2024

Instructor, MAT 025
Marple M, 6:00pm-9:00pm
Upper Darby TR, 9:35am-11:00am
Online W, 6:00pm-9:00pm

Educational Assistant, MAT 050
Marple MWF, 10:10am-11:05am
Marple MWF, 11:15am-12:10pm
Marple TR, 12:10pm-1:35pm
Marple TR, 1:45pm-4:45pm
Marple T, 6:00pm-9:00pm
Marple R, 6:00pm-9:00pm