Chapter Summaries

Ch. 2: Numeration and System Sets

Numeration Systems

Ancient Systems

Babylonian, Egyptian, Mayan, Greek, Roman, Hindu, Arabic, Hindu - Arabic

Different Bases

By looking at other bases, I really started to understand why we "carry the one" and borrow.

Describing Sets

Set Operations and Properties

Ch. 3: Whole Number Operations

Learning how to do base block algorithms help to understand operations for different bases. I heavily relied on the base blocks.

Addition and Subtraction of Whole Numbers

Algorithms for Addition and Subtraction

The most interesting algorithm I used was the Lattice Algorithm for addition. I never learned this in elementary school.

Multiplication and Division of Whole Numbers

Algorithms for Multiplication and Division

Mental Math and Estimation

Ch. 4: Algebraic Thinking

Variables

Equations

Functions

Function as machines

Functions as equations

Ch. 1: Problem Solving

Four Step Problem-Solving Process

This section was very important to me. I learned how to disect word problems in ways that will help me figure out how to solve them. While going through the section, I learned that it is easy to misinterpret a problem. That is why it is important to read and understand the problem.

Patterns

Geometric Sequences

Arithmetic Sequences

Fibonacci Sequence

Ch. 6: Rational Numbers as Fractions

Set of Rational Numbers

Equal Fractions

Simplifying Fractions

Ordering Rational Numbers

Addition and Subtraction of Rational Numbers

Ch. 5: Integers and Number Theory

Addition and Subtraction of Integers

Chip Model

Number line Model

Absolute Value

Multiplication and Division of Integers

Chip Model

Number line Model

Order of Operations

Divisibility

Divisibility Tests

Prime and Composite Numbers

Prime factorization

Determining if Prime

Greatest Common Factor and Least Common Multiple

Clock and Modular Arithmetic

My First Activity facilitation was done on the Clock Arithmetic. I worked with two others on the project.