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Math 400 ​Online Academic Library 

First Semester

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Math 400 Online

​Math 400 is a full-year elementary math course focusing on number skills and numerical literacy. In it, students will gain solid experience with number theory and operations, including decimals and fractions. This course also integrates geometric concepts and skills throughout the units, teaches measurement skills, and introduces students to statistical concepts. Student will learn to perform all four operations on whole numbers, compare and order numbers using place value and rounding, add and subtract fractions and decimals, understand measurement concepts, including the metric system, calculate perimeters and areas of regular plane shapes and represent data on varied statistical charts.

4th Grade Math 2nd Semester
teaching

Math 400 Online First Semester

UNIT 1 – NUMBER SENSE AND PLACE VALUE​​
  1. Course Overview
  2. Place Value to 1,000s
    1. Introduction to Place Value  
    2. Representing Quantity as Place Value 
    3. Hundreds, tens, and ones  
    4. Writing numbers to 1000 
    5. Comparing Whole Numbers
  3. Single-Digit Addition
    1. Adding within 20 
  4. Single-Digit Subtraction
    1. Subtracting within 20 
  5. Multi-Digit Addition
    1. Example: Adding two digit numbers (no carrying)
    2. Carrying when adding three digit numbers
  6. Multi-Digit Subtraction
    1. Example: 2-digit subtraction (no borrowing)
    2. Basic regrouping when subtracting three digit numbers
  7. Review Place Value to 1,000s
    1. Place value 1
  8. Quiz 1
  9. Multiplication Facts
    1. Intro to multiplication
  10. Family of Facts
  11. Telling Time
    1. Telling time exercise example
  12. Quiz 2
  13. Number Words
    1. Largest possible number from 4 digits example
  14. Patterns
    1. Math patterns example 1
    2. Math patterns example 2
  15. Cardinal and Ordinal Numbers
  16. Quiz 3
  17. Reading and Writing Fractions
    1. Fraction basics
    2. More than one equal section
    3. Introduction to fractions
    4. ​Numerator and denominator of a fraction
  18. Practice Multiplication
    1. Multiplying by 8
    2. Multiplying by 9
  19. ​Counting Money
    1. Counting Dollars
    2. Counting American Coins ​
  20. Operations
  21. Quiz 4
  22. Review: Numbers
    1. Place value​
  23. Story Problems
    1. Addition and subtraction word problems within 20: Level 1
    2. Fraction word problems 1 exercise
  24. Quiz 5
  25. Review Game
  26. Test
  27. Alternate Test
  28. Reference
UNIT 2 – ROUNDING AND ESTIMATION​
  1. Operations
    1. Multiplying by 6
    2. Multiplying by 7
  2. Multiplication Facts: 6-10 and Review
    1. More on the concept of multiplication
    2. 2 digit times 1 digit example (no carrying)
    3. 3 digit times 1 digit example (no carrying)
  3. Using Standard Measures
    1. U S customary units for distance
    2. U S customary units for fluid volume
    3. Converting fluid volume in US customary units
    4. Converting between units of time
    5. Counting money (U.S.)
  4. Quiz 1
  5. Place Value to 10,000s
    1. Place value 3
    2. Comparing place values
  6. Relation Symbols
    1. Greater than and less than symbols
  7. Missing Number Equations
  8. Review: Even and Odd Numbers
  9. Quiz 2
  10. Adding and Subtracting Fractions
    1. Adding fractions with like denominators
    2. Subtracting fractions
  11. Estimating Sums and Differences of Fractions
    1. ​Estimating Sums and Differences of Fractions
  12. Rounding Numbers to 10s
    1. Rounding to the nearest 10
  13. Estimating Answers to 10s
  14. Review: Math Symbols
    1. Greater than and less than symbols
    2. U S customary units for distance
    3. U S customary units for fluid volume
    4. Converting fluid volume in US customary units
    5. Converting between units of time
    6. Counting money (U.S.)
  15. Quiz 3
  16. Equivalent Fractions
    1. Introduction to equivalent fractions
    2. Visualizing equivalent fractions
  17. Rounding Numbers to 100s
    1. Rounding to the nearest 100
  18. Estimating Answers to 100s
  19. Review: Computation
    1. More on the concept of multiplication
    2. 2 digit times 1 digit example (no carrying)
    3. 3 digit times 1 digit example (no carrying)
  20. Quiz 4
  21. Review: Bar Graphs and Fractions
    1. Reading Bar Graphs
    2. Creating picture and bar graphs 2
  22. Review: Fractions
    1. Adding fractions with like denominators
    2. Subtracting fractions
  23. Quiz 5
  24. Review Game
  25. Test
  26. Alternate Test
  27. Reference
UNIT 3 – WHOLE NUMBERS AND FRACTIONS
  1. ​Place Value
    1. Place value 3
  2. Rounding Numbers to 10s, 100s, and 1,000s
    1. Rounding to the nearest 10
    2. Rounding to the nearest 100
    3. Rounding whole numbers 1
    4. Rounding whole numbers 2
    5. Rounding whole numbers 3
  3. Multiply with Carrying to 10s
    1. 2 digit times 1 digit example
  4. Multiplication Practice
    1. 2 digit times 1 digit example (no carrying)
    2. 3 digit times 1 digit example (no carrying)
    3. 2 digit times 1 digit example
  5. Quiz 1
  6. Multi-Digit Addition and Subtraction
    1. Carrying when adding three digit numbers
    2. Regrouping when subtracting three digit numbers
  7. Rounding and Estimating
    1. Rounding whole numbers 1
    2. Rounding whole numbers  
  8. Fractions Equal to Whole Numbers
    1. ​​Fractions Equal to Whole Numbers
  9. Quiz 2
  10. Estimate Answers to 1,000s
  11. Relation Symbols
    1. Greater than and less than symbols
  12. Fractions
    1. Adding fractions with like denominators
    2. Subtracting fractions
  13. ​Add and Subtract to 10,000s
    1. Carrying when adding three digit numbers
    2. Regrouping when subtracting three digit numbers
  14. Check Your Answers​
  15. Quiz 3
  16. Equivalent Fractions
    1. More on equivalent fractions
    2. Equivalent fractions example
  17. Learn Numbers to 100,000’s
    1. Place value 2
  18. Equations
    1. Representing a relationship with a simple equation
    2. Why we do the same thing to both sides: Simple equations
    3. One step addition and subtraction equations ​
  19. Quiz 4 
  20. Reading and Solving Story Problems
    1. Multi step word problems with whole numbers exercise 1
    2. Multi step word problems with whole numbers exercise 2
  21. Using Stem and Leaf Plots to Solve World Problems
    1. Using Stem and Leaf Plots to Solve World Problems
  22. Line Graphs
    1. Reading line graphs
  23. Quiz 5
  24. Review Game
  25. Test
  26. Alternate Test
  27. Reference
UNIT 4 – LINES AND SHAPES
  1. Plane and Solid Shapes
    1. Cousin Fal’s shape collection
  2. Quiz 1
  3. Practice Addition and Subtraction
    1. Addition 4
    2. Regrouping (borrowing) twice example
  4. Place Value and Rounding
    1. Rounding whole numbers 1
    2. Rounding whole numbers 2
    3. Rounding whole numbers 3
  5. Multiply with Carrying to 100s
    1. 3 digit times 1 digit example
  6. Quiz 2
  7. Lines, Segments, End Points, Rays, Angles
    1. Lines, line segments, and rays
    2. Angle basics
  8. Lines, Directions, and Maps
  9. Quiz 3
  10. Review: Plane and Solid Shapes
  11. Fractions
    1. Proper and improper fractions
    2. Introduction to equivalent fractions
  12. Missing Number Problems
  13. Angles in Shapes
    1. ​Measuring angles using a protractor
    2. Angle relationships
  14. Angles in Circles
    1. ​Angle measurement and circle arcs
  15. Review: Operation and Relation Symbols
    1. Greater than and less than symbols
  16. Quiz 4
  17. Review: Expanded Notation and Estimation
    1. Place value 3
    2. Rounding to the nearest 10
    3. Rounding to the nearest 100
    4. Rounding whole numbers 1
    5. Rounding whole numbers 2
    6. Rounding whole numbers 3
  18. Review: Fractions and Place Value
    1. Introduction to equivalent fractions
  19. Quiz 5
  20. Review Game
  21. Test
  22. Alternate Test
  23. Reference
UNIT 5 – DIVISION AND MEASUREMENT
  1. Introduction to Division
    1. The idea of division
  2. Multiplication
    1. 4 digit times 1 digit example
  3. Addition and Subtraction
    1. Addition 4
    2. Regrouping (borrowing) twice example
  4. Review: Time and Number Sense
    1. Place value 3
    2. Telling time exercise example 1
    3. Greater than and less than symbols
  5. Quiz 1
  6. Linear Measurement
    1. U S customary units for distance
  7. Capacity (Dry and Liquid Measurement)
    1. U S customary units for fluid volume
    2. Converting fluid volume in US customary units
  8. Division Facts
  9. Review: Multiplication
    1. 4 digit times 1 digit example
  10. Quiz 2
  11. Reading a Calendar
    1. Figuring out days of the week
  12. Using Models to Find Formulas for Area and Perimeter
    1. ​Area and perimeter
  13. Perimeter and Area 1
    1. Introduction to perimeter
    2. Introduction to area and unit squares
    3. Rectangle area as product of dimensions same as counting unit squares
  14. Perimeter and Area 2
    1. Area of rectangles and the distributive property
    2. Comparing areas and perimeters of rectangles
  15. Quiz 3
  16. Missing Number Problems
  17. Division Practice
    1. The idea of division
    2. Meaning of division
    3. Basic division
  18. Roman Numerals
    1. ​Intro to Roman Numerals
    2. Reading and writing Roman numerals
  19. Review: Regrouping
    1. Carrying when adding three digit numbers
    2. Regrouping when subtracting three digit numbers
    3. 2 digit times 1 digit example
  20. Patterns
    1. Math patterns example 1
    2. Math patterns example 2
  21. Quiz 4
  22. Review Game
  23. Test
  24. Alternate Test
  25. Reference