Online Mathematics Courses DEA College

• grade 3· Number sequence to 10
  · Familiar number arrangements up to objects
  · One-to-one correspondence
  · Numbers in-depth to 10
  · Repeating patterns of two of three elements
  · Direct comparison for length, mass & volume
  · Single attribute of 3-D objects

• · Skip counting starting at 0 to 100
  · Arrangements up to 10 objects
  · Numbers in-depth to 20
  · Addition & subtraction to 20
  · Mental math strategies to 18
  · Repeating patterns of two to four elements
  · Representation of pattern
  · Equalities & inequalities
  · Symbol for equality
  · Process of measurement using comparison
  · One attribute of 3-D objects & 2-D shapes
  · Composite 2-D shapes & 3-D objects
  · 2-D shapes in the environment

• · Skip counting at starting points other than 0 to 100
  · Numbers in-depth to 100
  · Even, odd & ordinal numbers
  · Addition & subtraction to 100
  · Mental math strategies to 18
  · Repeating patterns of three to five elements
  · Increasing patterns
  · Equality & inequality
  · Symbols for equality & inequality
  · Days, weeks, months, & years
  · Non-standard units of measure for length, height distance around, mass (weight)
  · Two attributes of 3-D objects and 2-D shapes
  · Cubes, spheres, cones, cylinders, pyramids
  · Triangles, squares, rectangles, circles
  · 2-D shapes in the environment
  · Data about self and others
  · Concrete graphs and pictographs

• · Skip counting at starting points other than 0 to 1000
  · Numbers in-depth to 1000
  · Addition & subtraction to 1000
  · Mental math strategies for 2-digit numerals
  · Multiplication up to 5 x 5
  · Representation of fractions
  · Increasing patterns
  · Decreasing patterns
  · One-step addition and subtraction equations
  · Non-standard & standard units of time
  · Measurements of length (cm, m) & mass (g, kg)
  · Perimeter of regular & irregular shapes
  · Faces, edges & vertices of 3-D objects
  · Triangles, quadrilaterals, pentagons, hexagons, octagons
  · First-hand data
  · Bar graphs

• · Numbers in-depth to 10 000
  · Addition & subtraction to 10 000
  · Multiplication & division of numbers
  · Fractions less than or equal to one
  · Decimals to hundredths
  · Patterns in tables & charts
  · Symbols to represent unknowns
  · One-step equations
  · Digital clocks, analog clocks, & calendar dates
  · Area of regular & irregular 2-D shapes
  · Rectangular & triangular prisms
  · Line symmetry
  · Many-to-one correspondence including bar graphs & pictographs

· Numbers in-depth to 1 000 000
· Estimation strategies for calculations & problem solving
· Mental mathematics strategies for multiplication facts to 81 & corresponding division facts
· Mental mathematics for multiplication
· Multiplication for 2-digit by 2-digit & division for 3-digit by 1-digit
· Decimal & faction comparison
· Addition & subtraction of decimals
· Prediction using a pattern rule
· Single-variable, one-step equations with whole number coefficients & solutions
· Perimeter & area of rectangles
· Length, volume, & capacity
· Parallel, intersecting, perpendicular, vertical & horizontal edged & faces
· Rectangles, squares, trapezoids, parallelograms & rhombuses
· 2-D shape single transformation
· First—hand & second-hand data
· Double bar graphs
· Likelihood of a single outcome

· Numbers in-depth greater than 1 000 000 & smaller than one thousandth
· Factors & Multiples
· Improper fractions & mixed numbers
· Ratio & whole number percent
· Integers
· Multiplication & division of decimals
· Order of operations excluding exponents
· Patterns & relationships in graphs & tables including tables of value
· Letter variable representation of number relationships
· Preservation of equality
· Perimeter & area of rectangles
· Length, volume, & capacity
· Types of triangles
· Regular & irregular polygons
· Combinations of transformations
· Single transformation in the first quadrant of the Cartesian plane
· Line graphs
· Methods of data collection
· Graph data
· Experimental & theoretical probability

· Divisibility rules
· Addition, subtraction, multiplication, & division of numbers
· Percents from 1% to 100%
· Decimal & fraction relationships for repeating & terminating decimals
· Addition & subtraction of positive fractions & mixed numbers
· Addition & subtraction of integers
· Table of values & graphs of linear relations
· Preservation of equality
· Expressions & equations
· One-step linear equations
· Properties of circles
· Area of triangles, parallelograms, & circles
· Geometric constructions
· Four quadrants of the Cartesian plane
· Transformations in the four quadrants of the Cartesian plane
· Central tendency, outliers & range
· Circle graphs
· Ratios, fractions, & percents to express probabilities
· Two independent events
· Three diagrams for two independent events

· Logic and patterns to solve games and puzzles
· Percents less than 1 and greater than 100 (decimal and fractional percents)
· Percent squares and cubes
· Square roots and Pythagorean Theorem
· Rates and proportional reasoning, ratio, proportions, and percent
· Operations with fractions (addition, subtraction, multiplication, division, and order of operations)
· Expressions and equations, writing and evaluating using substitution
· Two-step equations with integer coefficients, constants, and solutions
· Numerical proportional reasoning
· Surface area and volume of regular solids (right prisms, triangular prism, and cylinder)
· Construction, views, and nets of 3D objects
· Theoretical probability with two independent events
· Financial literacy – best buys (e.g., coupons, proportions, unit price, products, and services)

· Numerical and spatial reasoning, logic, and patterns to solve puzzles and games
· Operations with polynomials, of degree less than or equal to two
· Types of income (e.g., wages, salary, piece work, commission)
· Operations with rational numbers (addition, subtraction, multiplication, division, and order of operations)
· Rational numbers and order of operations
· Two-variable linear relations, using graphing, interpolation, and extrapolation
· Multi-step one-variable linear equations, including distribution and rational coefficients, constants, and solutions
· Spatial proportional reasoning (e.g., scale diagrams, similar triangles, linear unit conversions)
· Probability and statistics in society (e.g. sampling techniques, misleading stats)
· Financial literacy – Simple budgets and transactions (e.g., banking, interest, savings, planned purchases)