Review of Fourth Grade Material
- Addition and Subtraction of Fractions and Mixed Numbers
- Addition and Subtraction of Decimals
- Multiplication and Division Facts
- Commutative, Associative and Distributive Properties of Addition and Multiplication
- Place Value to Billions
- Decimal Place Value
- Decimal Multiplication
- Comparing and Rounding Decimal Numbers
Division
- Rules of Divisibility
- Multiple-digit divisors
- Interpreting Remainders
- Decimal Division
- Division by Multiples of 10
- Rounding Decimal Quotients to a given Decimal Place
Fractions
- Least Common Multiple
- Equivalent Fractions
- Solving for Variables in Equivalent fractions
- Simplifying Fractions
- Comparing Fractions through Cross-multiplication
- Comparing Fractions on a Number Line
- Operations with Fractions and Mixed numbers
- Word Problems with Fractions
Factorization
- Factor Trees
- Greatest Common Factors
- Euclid’s Method of finding GCF
- Prime Factorization
Measurement
- Metric system of Measurement
- Length
- Mass
- Capacity
- US Customary System of Measurement
- Length
- Mass
- Capacity
- Converting Units of Measure including Time
Geometry
- Angles and types of Angles
- Measuring Angles
- Triangles and Types of Triangles
- Circles and Parts of a Circle
- Relation between Radius and Diameter
- Circumference of a Circle
- Area of a Circle
- Types of Quadrilaterals
- Plane Figures
- Areas of Plane Figures
- Converting Areas from one unit to another
- Names of Polygons
- Regular Polygons
- Perimeter of Polygons
- Geometric Patterns (Congruent, similar, symmetrical figures)
Ratio, Scale, Percent, Average:
- Ratio as Fraction
- Comparing Ratios – Proportions
- Proportion as Equivalent Fraction
- Percent as decimal
- Relation between Fraction, Decimal and Percent
- Calculating Percentage of a Number
- Calculating average of a set of numbers
Solid Figures
- Edges, Faces, Vertices
- Volume of Cubes and Rectangular Prisms
- Surface Area of Cubes and Rectangular Prisms
- Volume and Surface Areas of Stacked Prisms
- Volume of Cylinders
Introduction to Algebra
- Writing Algebraic Expressions
- Evaluating Algebraic Expressions
- Solving Math Equations
- Word Problems using Equations
Introduction to Statistics
- Graphing, Probability and Statistics
- Mean, Median, Mode and Range