AFB 56: Topic Descriptions  (scroll down for grades 3 &4)

All these mathematical concepts are presented and practiced in this Algebra For Breakfast
curriculum. The mathematical terminology is not necessarily used with students.

• Countability
• Operation Sense
• The Skip Counting Principle
• Unknown Numbers & the Meaning of Variables
• A Multi-Sensorial Approach to Algebra & Mathematics
• The FNLN Principle: Identifying Like Terms and Unlike Terms
• Variables & Constants: Units, x, and x2
• Operation Sense & Number Sense
• Order of Operations
• Polynomial Identification
• The Rectangle Principle: Arithmetic Factoring
• The Rectangle Principle: Quadratic Factoring
• Countable vs Uncountable Amounts
• Integers: Identifying Positive & Negative Numbers
• Symbol vs Name vs Meaning
• Factoring Analysis: the Skip Counting Principle
• Integer Addition: Multiple Modalities
• Exponents & Powers: Operation Sense
• Square Numbers, Cubic Numbers, & Powers of 2
• Dimensional Analysis of First- and Second-Degree Powers
• Real-World Examples of x, x2, x3, etc.
• Mental Imagery for Arithmetic
• Equivalency & Equivalency Transformation
• GERMDAS & Order of Operations
• Finding & Creating Zeroes
• Analysis of Addition & Subtraction of Like & Unlike Terms
• Problem Solving with Exponential Thinking
• Binomial Multiplication
• Binomial Factoring
• More Multi-Sensorial Math: Pictorial Algebra
• Integer Multiplication
• Mental Algebra: Using the Imagination
• Drawing Algebra: Internalizing the Concepts
• Algebraic Substitution
• Substitution & Evaluation: Order of Operations
• Operation Sense: Sums & Products of Positive & Negative Numbers
• More Advanced Quadratic Factoring
• More Advanced Binomial Multiplication

Note: While these mathematical concepts are present and practiced in this Algebra For
Breakfast curriculum, many of the more technical terms are not used with students.

AFB 34: Topic Descriptions
All these mathematical concepts are presented and practiced in this Algebra For Breakfast
curriculum. The mathematical terminology is not necessarily used with students.

• Countability
• Single Variable Expressions
• Known vs Unknown Values
• The Meaning of Variables
• A Multi-Sensorial Approach to Algebra & Mathematics
• Operation Sense
• The FNLN Principle: Identifying Like Terms and Unlike Terms
• Single Variable Polynomials
• Equivalent Amounts
• The Skip Counting Principle
• Quadratic, Linear, and Constant Expressions
• Polynomial Identification
• The Rectangle Principle
• Quadratic Factoring
• Number Sense & Mental Math
• Mental Imagery for Mathematics
• Multiplication & the Skip Counting Principle
• Monomial and Arithmetic Factoring
• Perfect Squares
• Place Value & Mental Math
• Factors, Multiples, & Skip Counting
• Problem Solving
• Addition & Subtraction with Like Terms
• Primes & Composites: Arithmetic
• Primes & Composites: Algebra
• Algebraic Substitution
• Division: Symbols, Reading, Meaning, Skip Counting
• Skip Counting & Algebraic Factoring
• Two-Digit Mental Multiplication
• Goldbach’s Conjecture on Primes