Week 
Knewton Section
(Blitzer Section) 
Title 
Objectives 
Support Topics 
1 



 Weekly Schedule
 NoteTaking


A1
(1.1)

Inductive and
Deductive
Reasoning 
Differentiate between inductive and deductive reasoning.
[Identify the premise and conclusion of an argument.] 


A2
(1.2)

Estimation, Graphs,
Mathematical Models 
 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)

Arithmetic and Geometric
Sequences 
 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.


2 

Unit A Half Test 



B1
(5.6)

Scientific Notation

 Convert from scientific notation to decimal notation and viceversa
 Perform computations using scientific notation



B2
(not in Blitzer)

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







3 
B3
(Ch 9)

Unit Conversion in
the US System 
 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)

Unit Conversion in the Metric System 
 Convert between units of measurement in the metric system.
 Solve problems using measurements



B5
(Ch 9)

Unit Conversions Between Systems; Temperature 
 Convert between U.S. and metric units
 Understand and convert between temperature scales.



B6
(Ch 9)

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


4 

Unit B Exam 






 Fractions, Decimals, Percents
 Percent Formula


C1, C2
(8.1)
“Start Here”
Book
Introduction
& Cpt. 1

Percent, Sales
Tax, and
Discounts 
 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

5 
C3
(8.3)

Simple Interest 
 Compute simple interest on savings and loans
 Calculate future and present value



C4, C5
(8.4)

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







6 
C7, C8
(8.67)
“Start Here”
Book Cpt. 5,
10

Installment Loans (Cars
Loans and Mortgages) 
 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




Unit C Exam 






 Inequalities And Compound Inequalities

7 
D1
(2.1)

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



D2
(2.2)

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



D35
(2.3)

2.3 Venn diagrams and Set Operations 
 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


8 
D6
(2.4)

Set Operations and Venn
Diagrams with Three Sets 
 Show set relationships with Venn diagrams.
 Use Venn diagrams to find least common multiples and greatest common factors



D7
(2.5)

Venn Diagrams for Survey Problems 
 Solve survey problems using set theory




Unit D Exam 


9 
E1
(3.1)

Statements, Negations, and Quantified Statements 
 Identify English sentences that are statements and negate them
 Express logical statements using symbols
 Identify and negate quantified statements



E2
(3.2)

Compound Statements and Connectives 
 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


10 

Unit E Half Test 



F1
(11.1)

The Fundamental Counting Principal 
 Apply the Fundamental Counting Principle
 Apply FCP to find simple permutations


11 
F2
(11.2)

Permutations 
 Calculate permutations with and without nondistinct objects



F3
(11.3)

Combinations 
 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)

Probability Terminology and Basic Probabilities 
 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


12 
F6  8
(11.67)

Independent and Mutually Exclusive Events, Addition and Multiplication Rules, Contingency Tables 
 Recognize whether a pair of events are mutually exclusive, independent, or neither
 Compute compound probability
 Compute experimental probabilities using contingency tables



F9
(11.6)

Operations to find Probabilities 




Unit F Exam 







13

G1  5
(12.1)

Sampling, Frequency Distribution,
and Graphs 
 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)

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



G7
(12.3)

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


14 
G8  11
(12.45)

The Normal Distribution 
 Use the Empirical rule
 Determine if a distribution is normal
 Calculate zscores
 Use zscores 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)

Scatter Plots, Correlations, and Regression Lines
(If time allows) 
 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.




Unit G Exam 


15 

Final Exam 

