Chapter 1-An Introduction to Problem Solving
EXAMPLE 1-1
Describe any patterns:
1+0*9=1
2+1*9=11
3+12*9=111
4+123*9=1111
5+1234*9=11111
There are several possible patterns. For example, the numbers on the far left are natural numbers.
The pattern starts w
Chapter 3-Whole Numbers and Their Operations
Algorithms for Whole Number Multiplication and Division
They select appropriate methods and apply them accurately to estimate products or calculate
them mentally, depending on the context and numbers involved.
Chapter 3-Whole Numbers and Their Operations
Mental Mathematics and Estimation for Whole-Number Operations
Mental mathematics
The process of producing an answer to a computation without using computational aids.
Computational estimation
The process of for
Chapter 3-Whole Numbers and Their Operations Multiplication and Division of Whole Numbers Students understand the meanings of multiplication and division of whole numbers through the use of representations (e.g. equal-sized groups, arrays, area models, an
Chapter 3-Whole Numbers and Their Operations
Fluency with Multidigit Addition and Subtraction
Children use their understanding of addition to develop quick recall of basic addition facts and
related subtraction facts.
They solve arithmetic problems by app
Chapter 3-Whole Numbers and Their Operations
Addition of Whole Numbers
Set Model
Suppose Jane has 4 blocks in one pile and 3 in another. If she combines the two groups, how
many objects are there in the combined group?
Note that the sets must be disjoint
Chapter 2-Numeration Systems and Sets
Set Intersection
Consider the following sets:
C = cfw_x x is a college graduate
S = cfw_x x earns at least $40,000
Suppose we went to mail a questionnaire to all individuals in a certain city who are college
graduates
Chapter 2-Numeration Systems and Sets
The Language of Sets
A set is any group or collection of objects
The objects that belong to a set are the elements, or members, of the set
One method of denoting a set is to simply list the elements inside braces a
Chapter-Numeration Systems and Sets
Definition
Numerals: written symbols to represent cardinal numbers.
Numeration system: a collection of properties and symbols agreed upon to represent numbers
systematically.
Hindu-Arabic Numeration System
1. All numera
Check Point Section 1.2
1. List the next three terms in the sequence 1, 3, 5, 7, 9. Classify the sequence as arithmetic,
geometric, or neither.
2. List the next three terms in the sequence 3, 6, 12, 24, 48. Classify the sequence as arithmetic,
geometric,
Chapter 1-An Introduction to Problem Solving
Definitions
Statement a sentence that is either true or false, but not both.
Negation a statement with the opposite truth value of the given statement. The negation of a
true statement is a false statement. If
Chapter 1 - An Introduction to Problem Solving
Four-Step Problem-Solving Process
1. UNDERSTAND THE PROBLEM
State the problem in your own words.
Identify what you are trying to find or do.
Identify the unknowns.
Determine what information is given in the p