# AFB Topic List

**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