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Math Ladders

Algebra, Functions, & Mathematical Models:
(ISAT "Concepts & Language of Algebra and Functions")

• Algebraic Symbolism
• Algebraic Expressions
• Equations and Inequalities
• Systems of Equations or Inequalities
• Concept of Functions (Patterns)
• Represent Equations, Inequalities, and Functions
• Apply Functions to a Variety of Problems
• Vocabulary and Signs & Symbols

 

Concepts and Principles of Geometry:

• 2- and 3-D Identification and Classification
• Similarity, Congruence, and Scale
• Symmetry and Transformations
• Points, Lines, Planes, and Angles
• Construct and Measure Angles and Shapes
• Determine Perimeter and Area, and Apply Formulas
• Geometry of Right Triangles
• Graphing in Two Dimensions
• Vocabulary and Signs & Symbols

 

Concepts and Principles of Measurement:

• Length, Weight, Mass and Capacity
• Time and Temperature
• Perimeter and Circumference
• Area and Volume
• Conversions
• Rate, Proportion, and Scale
• Dimensional Analysis
• Error Analysis
• Vocabulary and Signs & Symbols

 

Data Analysis, Probability, and Statistics:

• Data Analysis
• Collect, Organize, and Display Data
• Statistical Measurements
• Basic Concepts of Probability
• Predictions or Decisions Based on Data
• Vocabulary and Signs & Symbols

 

Estimation and Accurate Computations:
(ISAT "Number and Operation")

• Whole Numbers - Addition and Subtraction
• Whole Numbers - Multiplication and Division
• Fractions, Decimals - Addition and Subtraction
• Fractions, Decimals - Multiplication and Division
• Integers, Rational, and Real Numbers
• Ratio, Percent, and Scientific Notation
• Roots, Exponents, and Logarithms
• Order of Operations
• Properties
• Matrices and Sequences Relations
• Estimation
• Vocabulary and Signs & Symbols

 

Number Sense:
(ISAT "Number and Operation")

• Whole Numbers - Represent, Identify, Count
• Whole Numbers - Compare, Order, Round
• Fractions, Decimals - Represent and Identify
• Fractions, Decimals - Compare and Order
• Integers, Rational, and Real Numbers
• Money
• Ratio, Percent, and Scientific Notation
• Roots, Exponents, and Logarithms
• Number Theory Concepts
• Matrices and Sequences
• Vocabulary and Signs & Symbols

 

Mathematical Reasoning & Problem Solving:
(now included in all other ISAT Goal Areas)

• Problem Solving - Explore
• Problem Solving - Plan
• Problem Solving - Solve
• Problem Solving - Examine
• Reasoning Skills
• Appropriate Technology and Models
• Communicate Mathematically
• Vocabulary and Signs & Symbols