Download Learning Objectives Matrix - TN Mathematics Co

MATH 1530 Learning Objectives and Pre/Co-Requisite Skills List
Chapters 1 – 3
Chapter 1 Learning Objective
5th Edition Triola Section
Pre/Co-Requisite Skill
Learning Support
Competency
Interpret numerical data as
frequencies, ratios, and percents
1-2 Statistical and Critical Thinking
Convert between fraction and decimal
representations of numbers
Convert between decimal and percent
representations of numbers
Distinguish between discrete and
continuous data
1-3 Types of Data
Understand sets of numbers (integer,
rational, and real numbers)
1.2 Perform operations with
rational numbers
1.5 Applications – Write and
compare numbers in standard
and scientific notation
1.4 Recognize and apply
magnitude and ordering of real
numbers
Chapter 2 Learning Objective
5th Edition Triola Section
Pre/Co-Requisite Skill
Construct frequency distributions
Compute mean and standard deviation
using formulas and technology
2-2 Frequency Distributions
2-2 Frequency Distributions
Create and interpret histograms
Analyze and interpret statistical graphs
and charts
2-3 Histograms
2-4 Graphs that Enlighten and Graphs
that Deceive
Cartesian Coordinates
3.5 Graph a linear equation in
two variables using ordered pairs,
using the x-intercept and the yintercept, and using the slope and
y-intercept
Chapter 3 Learning Objective
5th Edition Triola Section
Pre/Co-Requisite Skill
Learning Support
Competency
Calculate measures of center and
variation using formulas and
technology
3-2 Measures of Center
3-3 Measures of Variation
Follow order of operations, understand
symbolic notation
1.1 Apply the order of operations
to evaluate expressions
2.2 Evaluate algebraic
expressions when given values
for the variables
Calculate and interpret measures of
relative standing
3-4 Measures of Relative Standing
Learning Support
Competency
2.2 Evaluate algebraic
expressions when given values
for the variables
Chapters 4 – 5
Chapter 4 Learning Objectives
5th Edition Triola Section
Construct tree diagrams to determine
the sample space.
Use the fundamental counting principle
to determine the number of possible
outcomes.
Solve basic probability problems.
4-6 Counting
Define and use the rules of
complementary events.
Understand basic probability notation
and definitions
Determine whether events are disjoint
or mutually exclusive.
Apply the addition rule.
4-2 Basic Concepts of Probability
Determine if events are independent or
dependent.
Apply the multiplication rule with
replacement and without replacement
Find conditional probabilities
*MOVE “At Least 1” to Chapter 5
*5% Guideline (optional)
4-4 Multiplication Basics
Pre/Co-Requisite Skill
Learning Support
Competency
Converting Fractions to Decimals to
Percents
Subtracting Fractions and Decimals
from 1
1.2 Perform operations with
rational numbers
1.2 Perform operations with
rational numbers
Addition/Subtraction of Fractions with
Common Denominators
Fractions and Decimals that add to 1.
1.2 Perform operations with
rational numbers
Multiplication of Fractions
1.2 Perform operations with
rational numbers
4-6 Counting
4-2 Basic Concepts of Probability
4-2 Basic Concepts of Probability
4-3 Addition Rule
4-3 Addition Rule
4-4 Multiplication Basics
4-5 Multiplication Rule
4-5 Multiplication Rule
4-4 Multiplication Basics
Chapter 5 Learning Objectives
5th Edition Triola Section
Pre/Co-Requisite Skill
Identify discrete probability
distributions.
Construct a probability histogram from
a discrete probability distribution.
Use the discrete distribution to
determine other probabilities.
Determine the mean, expected value
and standard deviation from a discrete
probability distribution.
5-2 Probability Distribution
Adding Decimals and Rounding Decimals
Determine whether a value is usual and
unusual.
Find the probability from a binomial
experiment using technology.
Construct a binomial probability
distribution.
Use the binomial probability
distribution to determine other
probabilities.
Determine whether a value is usual or
unusual.
Find the mean and standard deviation
of a binomial distribution.
5-2 Probability Distribution
Learning Support
Competency
5-2 Probability Distribution
Converting words to Inequality symbols
5-2 Probability Distribution
Order of operations
Evaluate expressions
Exponents
5-3 Binomial Probability Distribution
5-3 Binomial Probability Distribution
Converting words to Inequality symbols
5-4 Parameters for Binomial
Distribution
5-4 Parameters for Binomial
Distribution
1.1 Apply the order of operations
2.2 Evaluate algebraic
expressions when given values
for the variables.
2.4 Evaluate expressions
involving powers
Chapters 6 – 7
Chapter 6 Learning Objectives
5th Edition Triola Section
Pre/Co-Requisite Skill
Identify continuous random variables
6-2 The Standard Normal Distribution
Understand sets of numbers (integer,
rational, and real numbers)
Recognize correspondence between
area under density curve and
probability
Write probability statements for
continuous random variables
Draw density curve for continuous
uniform random variables
6-2 The Standard Normal Distribution
Find probabilities for continuous
uniform random variables
6-2 The Standard Normal Distribution
Identify probability statement as area
under normal density curve
6-2 The Standard Normal Distribution
6-3 Applications of Normal
Distributions
6-2 The Standard Normal Distribution
6-3 Applications of Normal
Distributions
6-2 The Standard Normal Distribution
6-3 Applications of Normal
Distributions
6-2 The Standard Normal Distribution
6-3 Applications of Normal
Distributions
6-3 Applications of Normal
Distributions
Find probabilities for normal random
variables using technology
Convert random variable values to zscores
Calculate values of normal random
variable from given percentiles using
technology
Convert z-scores into random variable
values
Use the Central Limit Theorem to
calculate probabilities for sample
means using technology
6-2 The Standard Normal Distribution
6-2 The Standard Normal Distribution
6-5 The Central Limit Theorem
Write inequality statements from word
problems
Graphing
Write inequality statements from word
problems
Learning Support
Competency
1.5 Applications – Determine the
area and perimeter of a triangle,
rectangle, and circle
1.5 Applications – Determine the
area and perimeter of a triangle,
rectangle, and circle
Write inequality statements from word
problems
4.3 Solve formulas and literal
equations for a specified variable
4.3 Solve formulas and literal
equations for a specified variable
2.5 Use the distributive law to
write equivalent expression
Chapter 7 Learning Objectives
5th Edition Triola Section
Compute point estimates for
population proportions and means
7-2 Estimating a Population
Proportion
7-3 Estimating a Population Mean
7-2 Estimating a Population
Proportion
7-3 Estimating a Population Mean
7-2 Estimating a Population
Proportion
7-3 Estimating a Population Mean
7-2 Estimating a Population
Proportion
7-3 Estimating a Population Mean
7-2 Estimating a Population
Proportion
7-3 Estimating a Population Mean
7-2 Estimating a Population
Proportion
7-3 Estimating a Population Mean
Calculate the margin of error for
population proportions and means
Interpret the margin of error as a
function of the sample data
Construct confidence interval
estimates using a point estimate and
margin of error
Interpret confidence interval estimates
as a function of the sample data
Determine the minimum necessary
sample size to estimate population
proportions and means
Pre/Co-Requisite Skill
Learning Support
Competency
Order of operations
Evaluate expressions
2.4 Evaluate expressions
involving powers and roots
Order of operations
Evaluate expressions
2.4 Evaluate expressions
involving powers and roots
Chapter 8 Learning Objectives
5th Edition Triola Section
Pre/Co-Requisite Skill
Identify and symbolically express the
null hypothesis and alternative
hypothesis from a given claim
Calculate the value of the test statistic
8-2 Basics of Hypothesis Testing
Write inequality statements from word
problems
8-3 Testing a Claim about a Proportion
8-4 Testing a Claim about a Mean
8-3 Testing a Claim about a Proportion
8-4 Testing a Claim about a Mean
Order of operations
Evaluate expressions
Compute P-values and/or critical values
using technology
Learning Support
Competency
1.4 Recognize and apply
magnitude and ordering of real
numbers
State the conclusion of a hypothesis
test in nontechnical terms.
8-2 Basics of Hypothesis Testing
Chapter 10 Learning
Objectives
5th Edition Triola Section
Pre/Co-Requisite Skill
Graph bivariate data to visually infer
correlation
Describe the strength of linear
correlation in bivariate data by
computing the correlation coefficient
using technology
Determine evidence of significant
linear correlation using P-values and/or
critical values
Compute the slope and intercept of the
regression line for linearly correlated
data
10-2 Correlation
Graphing with Cartesian coordinates
Graph and interpret the regression line
10-3 Regression
Learning Support
Competency
10-2 Correlation
10-2 Correlation
10-3 Regression
Graphing with Cartesian coordinates
3.2 Identify and interpret rate of
change (slope)
3.6 Write a linear equation in two
variables when given information
about their graphs
3.1 Create a table of values and a
graph for a given relation
3.4 Analyze the graph of a linear
function identifying the
intercepts and slope
3.5 Graph a linear equation in
two variables using ordered pairs,
intercepts, and slope
Predict new values of the response
variable using the regression line
10-3 Regression
3.3 Use and interpret function
notation particularly as it relates
to graphic and tabular data
4.1 Solve a linear equation in one
variable using multiple
approaches
Graph and interpret the residual plot of
a linear model
10-3 Regression
Chapter 11 Learning Objective
5th Edition Triola Section
Pre/Co-requisite Skill
Learning Support
Competency
Perform Goodness-of-Fit tests
11-2 Goodness-of-fit
Be able to find percentages, use order of
operation, understand symbols,
calculate table of values and/or use
technology to solve real world problems
Perform tests of independence and
homogeneity
11-3 Contingency Tables
Be able to find percentages, use order of
operation, understand symbols,
calculate table of values and/or use
technology to solve real world problems
1.1 Apply order of operations to
evaluate expressions
1.2 Perform operations with
rational numbers
1.5 Solve real world problems
involving percents
2.3 Create table of values from
an expression
2.4 Evaluate expression involving
powers and roots
1.1 Apply order of operations to
evaluate expressions
1.2 Perform operations with
rational numbers
1.5 Solve real world problems
involving percents
2.3 Create table of values from
an expression
2.4 Evaluate expression involving
powers and roots