MTH 1207 – V03 FUNDAMENTAL CONCEPTS OF MATHEMATICS

• Weekly Schedule
• Note-Taking

A1

(1.1)

A2

(1.2)

• Use estimation techniques to arrive at an approximate answer
• Apply estimation techniques to the information given by graphs
• Develop mathematical models that estimate relationships between variables

• Order of Operations
• Divisibility Rules/Factor
  Trees
• Simplifying Fractions

A3, A4

(5.7) 

• Calculate the 100th or other term in arithmetic and geometric sequences.
• Determine an expression for the nth term in arithmetic and geometric sequences.
• Solve for the missing value in the arithmetic and geometric nth term formula when all remaining values are given.
• Compare and contrast linear (arithmetic) versus exponential (geometric) growth. 

B1

(5.6)

Scientific Notation

• Convert from scientific notation to decimal notation and vice-versa
• Perform computations using scientific notation

B2

(not in Blitzer)

• Define Significant Digits, Accuracy, and Precision
• Perform operations using approximate numbers.

• Multiplying fractions

B3

(Ch 9)

• Convert units of various types within the US/Imperial system
• Perform calculations with mixed units of measurement (e.g. 5 lbs 2oz)

B4

(Ch 9)

• Convert between units of measurement in the metric system.
• Solve problems using measurements

B5

(Ch 9)

• Convert between U.S. and metric units
• Understand and convert between temperature scales.

B6

(Ch 9)

• Convert between U.S. and metric units
• Use dimensional analysis to change units of measurement.
• Solve problems using measurements. (Dosages of medications).

• Fractions, Decimals, Percents
• Percent Formula

C1, C2

(8.1)

“Start Here”
Book
Introduction
& Cpt. 1

• Compute percent increase and decrease.
• Calculate sales tax
• Explain abuses in the use of percentages 

• 1 and 2 Step Linear and Literal
• Equations (substitute given
• values and solve for missing value)
• 3 step linear and literal equations

C3

(8.3)

• Compute simple interest on savings and loans
• Calculate future and present value

C4, C5

(8.4)

• Compute compound interest and determine annual percentage yield
• Calculate future and present value
• Compare simple and compound interest with various data

• Calculator Practice

C7, C8

(8.6-7)

“Start Here”
Book Cpt. 5,
10

• Compare two installment loans given their monthly payment and the time to repay
• Compute month payment and interest costs of an installment loan
• Compare and contrast leasing versus buying a car.
• Calculate monthly payments on new versus used cars and the amount saved.
• Explain different types of car insurance.
• Compute annual fuel expense.
• Calculate down payment
• Calculate total interest paid

• Inequalities And Compound Inequalities

D1

(2.1)

• Define terms including element, null set, equal sets, equivalent sets, and disjoint sets.
• Real Number System
• Find cardinality of a set. 

D2

(2.2)

• Determine whether a set is finite or infinite.
• Find proper and improper subsets and notice number patterns. 

D3-5

(2.3)

• Find unions, intersections, and complements.
• Show set relationships with Venn diagrams.
• Use Venn diagrams to find least common multiples and greatest common factors
• Find the cardinality of a union of sets

D6

(2.4)

• Show set relationships with Venn diagrams.
• Use Venn diagrams to find least common multiples and greatest common factors

D7

(2.5)

• Solve survey problems using set theory

E1 

(3.1)

• Identify English sentences that are statements and negate them
• Express logical statements using symbols
• Identify and negate quantified statements

E2

(3.2)

• Express compound statements in symbols
• Express symbolic statements in English
• Use the dominance of connectives

E3

(3.8)

Arguments and

Euler Diagrams

• Represent an argument using an Euler diagram
• Determine the validity of an argument using an Euler diagram

F1

(11.1)

• Apply the Fundamental Counting Principle
• Apply FCP to find simple permutations

F2

(11.2)

• Calculate permutations with and without non-distinct objects

F3

(11.3)

• Calculate combinations
• Distinguish between permutation and combinations.
• Relate number of combinations to number of subsets via Pascal’s Triangle

• Adding/Subtracting Fractions w/ Same
• Denominators
• Least Common Denominator
• Adding/Subtracting Fractions w/Different Denominators

F4, F5

(11.4)

• Define probability terms including experiment, sample space, event, probability of an event
• Calculate the sample space for an experiment in a variety of ways
• Compute simple probability
• Differentiate between theoretical probability and experimental results
• Use conditional probability notation to describe events
• Use complement rule for probabilities

F6 - 8

(11.6-7)

• Recognize whether a pair of events are mutually exclusive, independent, or neither
• Compute compound probability
• Compute experimental probabilities using contingency tables

F9

(11.6)

• Compute odds

• Data collection activity

13

G1 - 5

(12.1)

• Identify sampling techniques.
• Determine correct uses and misuses of statistical data.
• Construct a frequency distribution, bar graphs, and histograms
• Construct a stem and leaf display

G6

(12.2)

• Find and analyze measures of central tendency – mean, median, mode, and midrange (exclude frequency distributions)

G7

(12.3)

• Calculate measures of dispersion – range and standard deviation (using both sample and population definitions)

G8 - 11

(12.4-5)

• Use the Empirical rule
• Determine if a distribution is normal
• Calculate z-scores
• Use z-scores to compare groups of similar data
• Label all important information on the graph, including z scores and percentages
• Use and interpret margins of error
• Use the normal distribution and percentiles to solve applied problems

• Graphing on the Rectangular Coordinate System

G12

(12.6)

• Create a scatter plot
• Explain the difference between correlation and causal connections
• Match a scatter plot with a correlation coefficient r.
• Given a scatter plot, draw appropriate conclusions from the
• graph.