Unit 1: Place Value of Whole Numbers and Number Sense
Overview: Place Value of Whole Numbers and Decimals
Convert between place values
Expanded Number Format
Word names
Rounding
Estimate
Even and Odd Properties
Overview of Integers
Compare Integers
Scientific notation
Unit 2: Addition and Subtraction of whole numbers, Algebra
Overview: Add and Subtract Whole Numbers
Properties of addition and subtraction
Addition and Subtraction properties
Estimate sums and difference
Introduce Addition, Subtract patterns, relationships, use symbolic arithmetic
Introduce Add and Subtract Algebraic word problems
Add and subtract money and time
Unit 3: Multiplication, Division, and Algebra
Overview: Multiply Whole Numbers by 1, 2, and 3 digits
Estimate Products
Multiplication and Division Properties
Multiplication patterns
Overview Divide by One-Digit Divisors
Divisibility
Divide by Two-Digit Divisors
Divide by Multiples of 10, 100, and 1,000
Powers notation, scientific notations, representing numbers in expanded form with powers notation
Introduce Multiplication and Division word problems
Unit 4: Fraction and Mixed Numbers
Overview: Number Theory and Fraction Concepts
Equivalent Fractions and Scaling
Reduce fraction to simplest form
Overview Mixed Numbers
Convert Mixed Numbers to/from Fraction
Least Common Denominator
Compare fraction and mixed numbers
Order Fractions
Reciprocals
Introduce Algebra word problems using Time, Money and Cooking recipes.
Unit 5: Add and Subtract Decimals, Algebra
Overview of Decimal Number
Translate decimals expresses in word
Place values in decimal numbers
Estimate and Round Decimals
Compare and Order Decimals
Decimals to Fractions and Fractions to Decimals
Repeating Decimals
Compare: Fractions, Mixed Numbers, and Decimals
Add and Subtract decimal numbers
Introduce Inequalities with addition and subtraction
Estimate and round sums and difference
Introduce Algebra word problems with decimals – money, time
Unit 6: Multiplication and Division of Fractions and Decimals
Multiply and Divide Fractions
Multiply Decimals
Divide Decimals
Divide a Decimal by a Decimal
Introduce Algebra word problems using time, money, weight, mixture, work, and cooking
Unit 7: Measurement/Data and Graphing
Overview: Units of Measure
- Introduce US/Metrics units
Unit conversion
Unit Mappings or Scale
Compare units – Weight, Length, Time, Volume and Speed
Teaching Model: Add and Subtract Measurements
Overview Model: Graph Data
Teaching Model: Choose an Appropriate Graph
Overview Model: Data and Statistics and Set Theory
Mean, Mode, Median, Average, Minimum, Maximum, Range
Teaching Model: Make a Table
Introduce Algebra word problem and connect with day to day applications
Unit 8: Geometry and Measurement
Overview: Plane Figures and Geometric Concepts
Lines, Rays, Segments
Angle Measurement
Similar, Congruent, Supplementary, Complementary, Bisects
Parallel and Perpendicular Lines, Parallel and Traversal Lines
Teaching Model: Symmetry
Overview: Perimeter, Area, and Circumference
Teaching Model: Area of a Parallelogram
Overview: Solid Figures, Surface Area, and Volume
Teaching Model: Solid Figures
Unit 9: Ratio, Proportion, Percent, and Probability
Overview: Ratio and Proportion
Teaching Model : Equivalent Ratios
Overview: Percent
Review Teaching Model: Compare Fractions, Decimals, and Percents
Introduce Arithmetic and Geometric number patterns
Overview: Probability and Sets
Teaching Model: Probability Concepts
Introduce Algebra word problems – geometry, age, solutions, time, travel, and work
Unit 10: Algebra, Integers, and Coordinate Graphing
Overview: Equations and Functions
Teaching Model: Write and Solve Equations
Overview: Integers
Teaching Model: Integers and Absolute Value
Overview: Coordinate Graphing
Teaching Model: Integers and Functions
Introduce word problems to find solution using Graph, solving equations.
Introduce word problems on integrated topics.