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Home > CTYOnline > Math > Detailed Course Information
Accelerated Grade 4 Mathematics

Detailed Course Information

Number Sense: Integers

  • Regrouping for Subtraction
  • Subtracting Tens and Ones
  • Subtracting Tens and Ones, with Borrowing, Column Form
  • Addition and subtraction, column form, carry and borrow
  • Subtraction word problem, borrow
  • Regrouping Hundreds and Tens
  • Introduction of Factors and Product
  • Checking Multiplication with Division
  • Finding Factors and Products
  • Finding factors and products as variables
  • Definition of Any Number divided by One Equals the Number
  • Division, Horizontal Format
  • Division and subtraction, horizontal format
  • Solving Equations by Division
  • Using Parentheses and Introduction to Parentheses
  • Example of Distributive Law for Multiplication
  • Example of distributive law for multiplication (second expression)
  • Working with the two forms of the distributive law
  • Finding Products by Use of the Distributive Law
  • Multiplication, horizontal, find product
  • Multiplication, Horizontal, Find Factor, First, Second
  • Using the Distributive Law to Find Product of Multiplying by 11 and 12
  • Multiplication Solve the Equation, Variable in Mixed Position
  • Solving Multiplication with Use of Distributive Law and algorithms
  • Multiplication of a 1 Digit and 2 Digit Number
  • Multiplication of a 1 Digit and 2 Digit Number, Fill in Product
  • Multiplication of a 1 Digit and a 3 Digit Number
  • Multiplication of a 1 Digit and 3 Digit Number, Fill in Product
  • Division, Horizontal Format, Find Quotient
  • Division, solve the equation, find the variable, quotient, divisor
  • Division, solve the equation, find the variable, divisor, dividend
  • Equations with division and addition together
  • Word problems, multiplication and division
  • Distributive Law for Division
  • Distributive Law for Division over Addition
  • Concept of Ones, Tens, Hundreds, Thousands, Ten-Thousands find the sum
  • Find the sum (3, 5 digit numbers), remainder (2, 5 digit numbers), column format
  • Working with large numbers (ten-thousands), bar graph and sum/difference
  • Addition and subtraction (ten-thousands)
  • Concept of Hundred-Thousands
  • Concept of Millions
  • Reading Numerals, i.e. "One Million", "Ten Million", ...
  • Division and Remainders
  • Estimating in Division
  • Number lines
  • Division
  • Recognizing greatest multiples
  • Expressing Hundreds as Tens
  • Dividing Tens
  • Dividing Tens and Ones
  • Dividing Tens and Ones Word Problems
  • Number Line and Negative and Positive Numbers
  • Negative Numbers
  • Adding Negative Numbers
  • Comparing Numbers
  • Adding Positive and Negative Numbers
  • Adding Positive and Negative Numbers on a Number Line
  • Adding numbers positive-positive, negative-negative, positive-negative, negative-positive
  • Dividing by Multiples of Ten
  • Dividing by ones and multiples of ten (some with remainders)
  • Dividing by Numbers that are Not Multiples of Ten
  • Division Word Problems
  • Set of multiples of a number
  • Least Common Multiple of Two Numbers
  • Binary Operations on Numbers
  • Complete the operation, indicate sum, difference, product, or quotient
  • Find the sum, difference, product, and quotient
  • Find the find the addend, factor, divisor/dividend, subtrahend/minuend
  • Solve the equation, find for the variable, sum, difference, product, quotient
  • Solve the Equation, Find for the Variable, Addend, Subtrahend, Factor, and Divisor
  • Solve the Equation, Find for the Variable, Addend, Minuend, Factor, and Dividend
  • Equal or Not Equal? (Equations)
  • Commutative Law for Addition
  • Associative Law for Addition
  • Column Addition
  • Subtraction is Not Commutative
  • Is Subtraction Associative?

Number Sense:  Decimals and Fractions

  • Equal Fractions as in 1/2 = 2/4 with Pictures
  • Equal Fractions, Find the Numerator
  • Fractions, Choose Equal or Not-Equal
  • Adding and Subtracting of Like Fractions
  • Whole Numbers and Fractions
  • Finding Mixed Numbers and Whole Numbers
  • Dividing One by a Number
  • Using a Ruler and the Correlation of Fractions
  • Intro to Numerator/Denominator
  • Give the Numerator of the Fraction
  • Give the Denominator of the Fraction
  • Factional parts of whole objects
  • Fractional Parts of a Set of Objects
  • Proper/improper fractions
  • Showing Whole Numbers and Fractions on a Number Line
  • Mixed Numbers
  • Proper Fractions
  • Is the Fraction Equal to 1?
  • Comparing Fractions
  • Addition of Whole Numbers and Fractions
  • Some Fractions Equal Whole Numbers
  • Correlation between division and fractions
  • Some Fractions Equal Mixed Numbers
  • Correlation between Division of Fractions and Mixed numbers
  • Addition of Fractions
  • Adding and Subtracting Like Fractions
  • Subtracting like fractions
  • Like fractions, find the missing addend, subtrahend/minuend
  • Addition of Mixed Numbers
  • Fraction word problems
  • Adding like fractions
  • Subtracting like fractions
  • Adding and subtracting like fractions
  • Number Line for Fractions
  • Adding Fractions with a Number Line
  • Subtraction of Fractions
  • Subtraction of Mixed Numbers
  • Subtraction of Mixed Numbers, Column Form
  • Addition & Subtraction of Mixed Numbers, Word Problems
  • Multiplication of Fractions
  • Multiplying Fractions
  • Multiplication of whole number by a fraction as addition
  • Addition of three or more fractions
  • Multiplying a whole number by a fraction
  • Division of Fractions
  • Fraction Word Problems

Geometry

  • Using the Drawing Interface - Deleting, Drawing Segments, Midpoints, Identifying
  • Doubling Line Segments
  • Lines of Symmetry in Triangles
  • Other Lines of Symmetry
  • Midpoints
  • Definition of Plane and Space Figures
  • Rectangular Prisms
  • Triangular Prisms
  • Pentagonal Prisms
  • Hexagonal Prisms
  • Right Angles
  • Perpendicular Line Segments and Bisectors
  • Laying Off Congruent Segments
  • Perpendicular Bisectors
  • Triangles
  • Triangular Pyramids
  • Rectangular Pyramids
  • Pentagonal Pyramids
  • Hexagonal Pyramids
  • Parallel Lines
  • Constructing Rectangles
  • Constructing Squares, 1-2
  • Space Figures: Spheres, Cylinders, and Cones
  • Prisms and Pyramids
  • Defining Volume
  • Constructing Polygons
  • Chords of a Circle
  • Definition of Chord and Diameter

Logic and Reasoning

  • Applications: Set Descriptions
  • Union of Sets, 1-4
  • Difference of Sets, 1-3
  • Disjoint and Overlapping Sets, 1-3
  • Intersection of Sets, 1-4
  • Difference of Two Sets of Numbers
  • Finite and Infinite Sets
  • Sets and Members, 1-2
  • Equal Sets
  • Equivalent Sets
  • Equal and Equivalent Sets and the Empty Set
  • Element of a Set
  • Subset of a Set, 1-2
  • Elements and Subsets
  • Set Operations, 1-6
  • Inequalities and Subsets
  • Set Descriptions, 1-7
  • Sets of Points 1-2
  • Set Operations and Set Members
  • Set Descriptions and Set Operations
  • Drawing Conclusions, 1-7
  • Atomic and Molecular Sentences, 1-2
  • Connectives, 1-2
  • Conjunctions and Disjunctions, 1-2
  • Antecedents and Consequents
  • Conjunctions, Disjunctions, and Conditionals
  • Conjunctions, Disjunctions, Conditionals, and Drawing conclusions
Measurement, Graphs, and Equations
  • Dry Measure
  • Liquid Measure: Cup, Pint, Quart, Gallon
  • Liquid Measure Conversion
  • Weight Measure: Ounces, Pounds, Hundredweight, Tons
  • Liquid Measure Word Problems
  • Money: Penny, Cent, Nickel, Dime, Quarter, Half Dollar, dollar
  • Money
  • Money: Coin Values
  • Money: More Coin Values
  • Money Word Problems: Converting Colloquial Money To Decimals
  • Time Zones
  • Time Zones of the U.S.
  • Convert 12 to 24 Hour Clock
  • Comparing 12 and 24 Hour Time and Word Problems
  • Rounding Measurements
  • Area of a Rectangle
  • Perimeters and Areas
  • Perimeter and Area: Importance Of Units
  • Perimeter and Area: Different Units
  • Drawing to a Scale
  • Temperature: Celsius Scale, Fahrenheit Scale
  • Definition of Coordinate System, Coordinates, Horizontal Axis, Vertical Axis
  • Ordered Pairs
  • Plotting Points
  • Fractions as Coordinates
  • Identifying Horizontal and Vertical Lines
  • Introduction and Definition of Bar Graphs
  • Definition of Line Graphs

Data/Statistics/Probability

  • Comparing Survey Questions 1-3
  • Collecting and Representing Data 1-3
  • Identifying Modes 1-3
  • Identifying the Median
  • Identifying Outliers
  • Identifying Modes and Outliers
  • Circle Graphs
  • Bar Graphs
  • Interpreting Line Graphs
  • Probability Trees 1-4

Return to Accelerated Math Series course description

Detailed Course Information

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