MONTESSORI 5-6
Learning Standards

MATHEMATICS

WHOLE NUMBERS and NUMERATION

Estimation of Sums, Differences, Products, and Quotients
Properties-

Commutative
Associative
Distributive

Multiples-

Common
LCM
Prime and Composite Numbers
Divisibility

FRACTIONS

Equivalency
Types of Fractions-

Proper
Improper
Mixed
Reducing Fractions

Multiplication-

Fraction X Whole
Whole X Fraction
Fraction X Fraction
Canceling

Division-

Fraction / Whole
Whole / Fraction
Fraction / Fraction
Addition-unlike denominators
Subtraction-unlike denominators

DECIMALS

Equivalency
Comparing and Ordering
Renaming Fractions as Decimals
Addition
Subtraction
Multiplication
Division

RATIO and PERCENT

Ratios as Fractions
Ratios as Decimals
Ratios as Percents
Percents as Fractions
Percents as Decimals
Percent of Number
Percent of Increase/Decrease
Solve Proportions

MEASUREMENT

Estimation-

Length
Perimeter
Area
Volume
Addition/Subtraction of Customary Measures
Equivalent Metric Measurement

STATISTICS and PROBABILITY

Construct, read, and interpret:
Tables
Picture Graphs
Bar Graphs
Circle Graphs
Line Graphs
Mean
Medium
Range
Mode
Frequency
Tree Diagrams
Probability

ALGEBRAIC IDEAS

Powers
Square of Binomials
Square of Trinomials
Order of Operations
Basic Equations
Integers-
Addition
Subtraction
Number Lines and Coordinate Planes
Graphing
Scientific Notation
Rational Numbers
Equations
Inequalities
Square Root
Cubing

CALCULATORS

Proficiency in use of Calculators (Fraction and Decimal Operations)
Recognition/use calculator keys for:

Order of Operations
Pi
Percentages
Division with remainder
Squares/Square Roots
Powers/Roots
Powers of 10
Reciprocals
Positive/Negative Integers
Memory/Constant Key

PROBLEM SOLVING AND
LOGICAL REASONING

Problem Solving Strategies used throughout Math Curriculum

GEOMETRY

QUADRILATERALS

Basic Quadrilateral
Trapezoid Square
Parallelogram
Rectangle Rhombus

 

TRAPEZOIDS

Scalene Trapezoid
Isosceles Trapezoid
Right Angle Trapezoid

 

CIRCLES

Parts of a Circle
Properties of Circles

 

CONSTRUCTIVE TRIANGLES (SECOND SERIES)

Research for-
Congruency
Similarity
Equivalency

 

TRANSFORMATIONS

Reflections
Rotations
Translations
Size Change

 

AREA

Square
Rectangle
Parallelogram
Triangle
Trapezoid
Circle
Square Area

 

VOLUME

Prisms
Cylinders
Cones