Objectives
This page lists the summary learning objectives for each of the 111 books in the Lifetime Library. A more detailed description of each book's content can be found in the specific curriculum sections of this web site.
Math I
Book 1 -
Problem Solving
·
Describe the formal problem-solving approach.
·
Select appropriate problem-solving strategies.
Book 2 -
Whole Numbers
and Addition
·
Interpret the meaning of numbers found in the real
world.
·
Solve problems requiring whole number addition.
·
Interpret and solve addition problems involving
large numbers.
Book 3 -
Multiplication, Subtraction, and
Division
·
Solve problems requiring multiplication.
·
Solve problems requiring subtraction.
·
Solve problems requiring division.
Book 4 -
Putting Basic Operations to Work
·
Select and use the correct basic operation required
to solve problems.
·
Solve problems requiring two different operations.
·
Solve complex problems requiring more than two basic
operations.
Book 5 -
Fractions
·
Solve problems requiring the multiplication of
fractions.
·
Solve problems requiring the addition of fractions.
·
Solve problems requiring the subtraction of
fractions.
Book 6 -
Decimals
·
Solve problems requiring regrouping by tens.
·
Solve problems involving basic operations with
decimals.
·
Express fractions as decimals.
Book 7 -
Estimation
·
Recognize when estimation is appropriate.
·
Determine the level of accuracy required of an
estimate based on the situation.
·
Apply three estimation techniques to solve real-life
problems.
Book 8 -
The Calculator
·
Calculate the solution to problems requiring basic
operations.
·
Estimate to check the reasonableness of calculator
solutions.
·
Calculate the solution to problems using a memory
key.
Book 9 -
Percents
·
Solve percent problems.
·
Solve sales tax and tip problems.
·
Solve credit problems.
Math 2
Book 1 - Monetary Estimation
·
Solve monetary estimation problems involving
decimals.
·
Estimate the solution to monetary problems using
fractions.
·
Estimate the solution to problems involving percent.
Book 2 - Measurement
·
Measure and convert common quantities using the
English System.
·
Measure and convert quantities using the Metric
System.
·
Convert English measures to metric and vice versa.
Book 3 - Negative Numbers
·
Add and subtract negative numbers.
·
Locate points on a coordinate grid system and
interpret points found on a coordinate grid system.
·
Solve problems involving time.
Book 4 - Plane Geometry
·
Solve problems requiring the calculation of
quadrilateral perimeters and areas.
·
Calculate the area and perimeter of a right
triangle.
·
Solve problems for two-dimensional shapes requiring
the value of pi.
Book 5 - Solid Geometry
·
Calculate the volume of rectangular solids.
·
Calculate the volume of prisms and pyramids.
·
Calculate the volume of cylinders, cones, and
spheres.
Book 6 - Consumer Math
·
Solve problems involving comparisons.
·
Solve consumer problems involving cost per unit.
·
Solve ratio problems.
Book 7 - Patterns
·
Solve problems that involve the recognition of
patterns.
·
Identify three types of graphs.
·
Solve problems requiring the interpretation of
graphs
Book 8 - Sampling Data
·
Interpret data using averages.
·
Determine whether samples are fair representation of
the total from which they are drawn.
·
Identify misleading presentations of data.
Book 9 - Probability and Statistics
·
Express probability as a fraction or decimal.
·
Calculate probability in simple games of chance.
·
Solve problems involving probability.
Math 3
Book 1 - Adding and Subtracting Fractions
·
Express a part of a whole as a fraction.
·
Find fractions on number lines.
·
Generate fraction families.
·
Add or subtract fractions and mixed numbers.
Book 2 - Adding and Subtracting Fractions
·
Add fractions with numerators of 1.
·
Add fractions with unlike denominators.
·
Subtract common fractions.
·
Use the general case method to add or subtract
fractions.
Book 3 - Mixed Numbers
·
Interpret quantities represented on a number line.
·
Convert improper fractions to mixed numbers, and
vice versa.
·
Regroup whole numbers and mixed numbers.
·
Estimate sums of mixed numbers.
·
Add and subtract mixed numbers.
·
Apply knowledge of fractions to everyday problems.
Book 4 - Review
·
Interpret fractions as parts of a whole, as
division, and as ratios.
·
Apply another method to add and subtract mixed
numbers.
·
Find the circumference of a circle using the ratio
pi.
Book 5 - Multiplying and Dividing Fractions
·
Recognize basic math terminology.
·
Multiply and divide one fraction by another.
·
Multiply and divide a whole number by a fraction.
·
Multiply and divide by mixed numbers.
·
Solve word problems.
Book 6 - Multiplying and Dividing Fractions
·
Use cancellation to simplify fraction problems.
·
Apply additional methods for multiplying and
dividing fractions and mixed numbers.
·
Find reciprocals of numbers.
·
Use reciprocals to simplify compound fractions.
Book 7 - Decimals and Graphs
·
Write fractions as decimals.
·
Add, subtract, multiply, and divide decimals.
·
Interpret pie charts and line and bar graphs.
·
Use graphs to find information.
Book 8 - Ratio and Proportion
·
Determine when fractions are equivalent.
·
Convert fractions to decimals and decimals to
fractions.
·
Convert decimals to percents and percents to
decimals.
·
Solve for unknowns in problems involving the four
basic operations.
Book 9 - Percentage Problems I
·
Apply the basic formula for finding percent.
·
Apply formulas to find the part, the whole, or the
percent.
·
Apply knowledge of percent formula to solve everyday
problems.
Book 10 - Percentage Problems II
·
Apply formula for calculating property taxes and
assessed value.
·
Apply formula for calculating interest, principal,
rate, and time.
·
Apply formula for calculating discounts and markups.
Pre-algebra
Book 1 - Signed Numbers
·
Identify signed numbers on the number line.
·
Interpret absolute value.
·
Add, subtract, multiply, and divide signed numbers.
·
Find unknown quantity using inverse operations.
·
Substitute values and evaluate to check an answer.
Book 2 - Basic Algebra
·
Apply appropriate sequence of operations.
·
Calculate square roots by estimating and averaging.
·
Simplify polynomials.
·
Use simultaneous equations to solve for unknowns.
·
Solve a literal equation for a designated variable.
·
Apply the Pythagorean Theorem.
Book 3 - Geometry
·
Determine degrees in an angle.
·
Find lengths of sides of triangles using properties
of similar triangles and the Pythagorean Theorem.
·
Determine whether two triangles are similar using
the Pythagorean Theorem and cross-multiplication.
·
Find the perimeter and area of geometric figures.
Book 4 - Measurement
·
Convert one measurement to another.
·
Find unit values.
·
Solve problems involving different measures.
·
Computer perimeter, area, and volume for various
objects.
Book 5 - Problem Solving
·
Translate literal statements into algebraic
statements.
·
Substitute values in algebraic statements and
evaluate.
·
Solve everyday problems using problem-solving
approach.
·
Solve word problems involving more than one unknown.
Algebra
Part 1
Book 1 - Language of Algebra
·
Classify numbers into number
sets.
·
Evaluate algebraic expressions.
·
Simplify algebraic expressions
using the commutative, associative, and distributive properties.
·
Evaluate expressions containing
more than one operational symbol.
Book 2 - Exponents and Radicals
·
Evaluate algebraic expressions
using the power and product rules.
·
Simplify and evaluate
expressions using the quotient rule and negative exponents.
·
Determine the meaning of roots
and radicals.
·
Evaluate algebraic expressions
involving rational exponents.
Book 3 - Factoring Polynomials
·
Combine polynomials by addition
or subtraction.
·
Multiply polynomials using the
distributive property.
·
Factor a polynomial by
extracting the greatest common factor of terms.
·
Extract binomial factors of
trinomials.
·
Factor perfect square
trinomials.
Book 4 - Linear Equations
·
Solve linear equations.
·
Solve linear equations
containing decimals and fractions.
·
Express word problems as
equations and solve them.
·
Express the relationships in
proportion problems and solve them.
·
Express simple work problems as
equations and solve them.
Book 5 - Complex Numbers
·
Perform basic operations with
imaginary numbers.
·
Recognize complex numbers in the
complex plane.
·
Add and subtract complex
numbers.
·
Multiply and divide complex
numbers.
Book 6 - Quadratic Equations
·
Solve simple quadratic equations
by trial and error.
·
Solve quadratic equations by
factoring the difference of two squares.
·
Solve quadratic equations by
factoring perfect square trinomials.
·
Solve quadratic equations by
completing the square.
·
Solve quadratic equations by
using the quadratic formula.
Book 7 - Inequalities
·
Solve problems of simple
inequalities.
·
Solve real-world problems
involving inequalities.
·
Solve quadratic inequalities.
·
Solve rational inequalities.
Book 8 - Absolute Value
·
Interpret basic absolute value
expressions.
·
Solve absolute value equations
and inequalities.
· Use the basic algebra concepts you have learned to solve real-world
problems. Book 9 - Linear Relations
·
Interpret equations and their
graphs.
·
Develop a linear equation using
a graph.
·
Interpret graphs and their
linear equations.
·
Write equations from ordered
pairs and determine the distance between two points.
Book 10 - Circles and Parabolas
·
Determine the radius and
coordinates of a circle given an equation of a circle.
·
Identify the characteristics of
parabolas.
·
Interpret graphs of parabolas
using the general form of the equation for the parabola.
Book 11 - Ellipse and Hyperbola
·
Determine the equation of an
ellipse.
·
Graph an ellipse when given its
equation.
·
Determine the characteristics of
hyperbolas when using their graphs or equations.
Algebra
Part 2
Book 1 - Functions
·
Determine whether a given
relationship is a function or not.
·
Represent a function by using
ordered pairs and graphs.
·
Determine range values for given
values in the domain.
·
Identify four types of
functions: linear, step, absolute value, and quadratic.
Book 2 - Composition of
Functions
·
Combine functions arithmetically
to obtain new functions.
·
Perform a composition of
functions.
·
Find the inverse of a function.
·
Identify functions that do not
have an inverse.
Book 3 - Variation
·
Recognize and use direct
variation in solving problems.
·
Recognize and use inverse
relationships in solving problems.
·
Solve problems involving
combined and joint variation.
Book 4 - Polynomials
·
Identify polynomial functions by
their general features and degrees.
·
Find the zero values of
polynomial functions.
·
Interpret graphs of polynomials.
·
Identify the number of zero
values in polynomial functions.
Book 5 - Rational Functions
·
Identify the main
characteristics of rational functions.
·
Interpret and graph rational
functions with horizontal and vertical asymptotes.
· Interpret and graph rational
functions with no horizontal, or oblique asymptotes.
Book 6 - Exponential Functions
·
Solve problems involving
exponential growth functions.
·
Solve real-world problems
involving exponential decay functions.
·
Solve some real-world problems
involving the compounding effect.
Book 7 - Logarithmic Functions
·
Identify and interpret
logarithmic notation.
·
Solve equations using
logarithms.
·
Solve equations using natural
logarithms.
Book 8 - Systems of Equations
·
Solve systems of linear
equations with two variables using the substitution method.
· Solve systems of consistent linear equations that have more than two variables.
· Solve systems of nonlinear equations.
Book 9 - Systems of Linear
Inequalities
·
Identify the feasible region or
solution of a system of linear inequalities.
·
Find the point which maximizes
or minimizes the objective function by using the corner principle.
Book 10 -Arithmetic Sequences
and Series and Induction.
·
Recognize an arithmetic sequence
and find any term in its sequence.
·
Identify and work with different
types of natural sequences.
·
Determine the sum of the terms
in a finite arithmetic sequence.
·
Apply the procedure for
mathematical induction and disprove statements by producing a counter example
Book 11 - Geometric Sequences
and Series
·
Find any term in a geometric
sequence and find the common ratio of the sequence.
·
Determine the first term and
common ratio of a geometric sequence from any two known terms.
·
Find the sum of an infinite
geometric series.
Book 12 - Permutations and
Combinations
·
Apply the fundamental principle
of counting to determine possible outcomes.
·
Apply permutations in
appropriate problems.
·
Calculate combinations in
appropriate problems.
Book 13 - Probability
·
Define terms dealing with
probability and calculate simple probabilities.
·
Calculate expected values.
·
Calculate probabilities when independence is an issue.
Reading 1
Book 1 - Product Labels
·
Locate information on food, drug, and household
product labels.
·
Comprehend information from product labels and print
materials about them.
·
Apply information from product labels and charts to
specific situations.
Book 2 - Housing
·
Locate information in print materials associated
with housing.
·
Comprehend information in print materials associated
with housing.
·
Apply information from these kinds of materials to
specific situations.
Book 3 - Community Services
·
Interpret words from print materials about services
for individuals and families.
·
Interpret statements used in these kinds of
materials.
·
Apply information from these kinds of materials to
specific situations.
Book 4 - Looking for Work
·
Interpret want ads and other sources of information
about jobs.
·
Infer information from want ads, job descriptions,
and other job search materials.
·
Interpret words and statements from application
forms, resumes, etc.
Book 5 - Food and Home
·
Find basic information embedded
in instructions for using products, preparing foods, and completing household
projects.
·
Interpret statements in instructions about sequence
and choices.
·
Apply information from a set of instructions to a
specific situation.
Book 6 - Personal Health
·
Recognize the meaning of key
terms used to discuss health and medical issues.
·
Interpret statements about health in terms of
causes, effects, and contributing factors.
·
Apply information about health to specific
situations.
Book 7 - Advertising