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

·         Interpret information in print ads and product information.

·         Locate and identify information in print warranties, guarantees, and service contracts.

·         Interpret information from these kinds of print materials.

Book 8 - Home Safety

·         Draw inferences about home security from brief news accounts.

·         Determine the main point of a short passage about factors contributing to home security.

·         Draw inferences from passages about factors contributing to home safety.

Book 9 - Travel

·         Locate and pull information from mileage charts, schedules, local maps, and materials with basic travel information.

·         Locate and pull information from building guides, road maps, and street maps.

·         Apply information from any of these materials to specific situations.

Book 10 - Reference Materials and Resources

·         Locate information in dictionaries and encyclopedias. 

·         Locate information in reference systems within books (the index, table of contents, glossary, bibliography, and appendix).

·         Find information about sources from library catalogs and guides to periodicals.

Book 11 - Credit

·         Recognize stated or implied relationships in print materials about consumer credit.

·         Find and interpret information from disclosure charts monthly statements, and other credit-related documents.

·         Apply information from credit documents to specific situations.

Book 12 - Forms

·         Locate the place on a form for specific information and recognize when specific information is not required.

·         Understand words, terms, or statements on a form from the context.

·         Interpret information from a completed form.

Book 13 - Human Behavior

·         Interpret passages from articles that generalize about human behavior.

·         Interpret statements about remedies or suggestions from articles about human behavior.

·         Compare information and generalize from case studies of human behavior.

Book 14 - Accidents

·         Interpret cause and effect relationships in articles about common accidents.

·         Draw or recognize inferences concerning prevention.

·         Apply information about accident prevention and remedies to specific situations.

Book 15 - Personal Safety

·         Recognize the main idea in a passage about personal safety.  

·         Recognize the main idea in charts, graphs, and paragraphs with statistics about personal safety.

·         Interpret relevant or supporting details from passages, charts, and graphs on personal safety.  

Book 16 - General Interest Articles

·         Define difficult or unfamiliar words in paragraphs from definitions, examples, or contrasting statements. 

·         Recognize points of comparison and contrast in descriptions of categories of people or things. 

·         Define difficult or unfamiliar words from the larger context of a passage.

Book 17 - General Interest Articles

·         Recognize the point of view and the voices within a newspaper article.

·         Rephrase the “problem” and the “solution” that are the main points of an opinion piece.

·         Restate the support an author provides for his/her main point in an opinion piece.

Book 18 - News Articles and Opinion Pieces

·         Draw inferences from the details within an anecdote, fable, or extended example.

·         Identify details that support an interpretation of an anecdote, fable, or short article.

·         Draw inferences from an anecdote, fable, or short article taken as a whole.

Book 19 - News Articles and Opinion Pieces

·         Distinguish statements of facts from statements of opinions in articles that quote several sources.

·         Interpret a statement about cause, effect, or consequences.

·         Identify the main point of an argument in a short article and identify supporting points.

Book 20 - Consumer Articles Fraud and Scams

·         Find or infer the main idea in articles about frauds, scams, and consumer issues.

·         Locate and restate specific information in these kinds of articles.

·         Apply information to specific situations.

Book 21 - Fiction

·         Identify details about characters in a story. 

·         Identify details about when and where a scene takes place.

·         Identify details about what happens in a scene.

Book 22 - Fiction, Biographies, and Autobiographies

·         Identify characteristics of the narrator and point of view from a specific passage.

·         Rephrase or restate what the narrator shows or tells the reader.

·         Draw inferences from what the narrator does and does not say, from the narrator's tone, and from the narrator's style.

Book 23 - Fiction

·         Infer information about characters and situations in a story.

·         Infer information about characters and events from dialogue.

·         Recognize details from a scene that support statements about characters, events, and relationships.

Book 24 - Fiction and Nonfiction

·         Distinguish between literal and figurative language. 

·         Recognize metaphor, simile, and literal comparisons. 

·         Infer meaning from passages that use figurative language.

Book 25 - Fiction and Nonfiction

·         Restate what is being compared in a figurative comparison.

·         State the main idea of a passage containing a figurative comparison.

·         Infer meaning from passages with figurative comparisons.

Book 26 - Fiction

·         Find relevant details about a character, scene, or situation.

·         Infer relationships among characters and situations. 

·         Define difficult words, terms, or symbols from the context.

Book 27 - Fiction

·         Identify basic features of a work in terms of the tone, style, and voices within it.

·         Compare and contrast characters and scenes. 

·         Restate ideas directly stated or implied in a scene.

Book 28 - Fiction and Nonfiction - Review

·         Analyze passages in terms of narrator, character, dialogue, action, setting, tone, and style.

Reading 2  

Book 1 - Literature: Main Idea, Context Clues, Figurative Language, and Idioms.

·         Identify main ideas in a passage.

·         Identify supporting details.

·         Define words from context.

·         Interpret figurative language.

·         Distinguish abstract from concrete language.

Book 2 - Literature: Main Idea, Inference, and Details.

·         Identify unstated main ideas.

·         Identify supporting ideas.

·         Draw inferences.

·         Identify a writer’s emphasis

·         Summarize plot and meaning.

Book 3 - Literature: Author’s Motives, Literary, Humor and Dialect

·         Analyze writers’ motives and methods.

·         Distinguish fact from opinion.

·         Identify cause and effect.

·         Compare and contrast ideas.

·         Summarize.

Book 4 - Literature: Style and Tone, Characterization

·         Analyze writers’ purposes.

·         Derive meaning from characterization.

·         Derive meaning from style and tone.

·         Recognize how rhythm, rhyme, alliteration, and repetition contribute to meaning.

Book 5 - Maps, Charts, Graphs

·         Identify kinds of maps.

·         Find information from maps.

·         Find information from charts and graphs.

·         Interpret information from charts, graphs, and maps.

Book 6 - Science I:  Ecology, Adaptation

·         Find main ideas.

·         Use context clues to interpret information.

·         Identify causes and effects.

·         Draw inferences.

Book 7 - Science II: Cell Theory, Genetics, and Heredity

·         Find main ideas.

·         Interpret visual materials.

·         Read for detail.

·         Compare and contrast information.

·         Identify sequences.

Book 8 - Science III: Geology

·         Interpret information from visual materials.

·         Read for detail.

·         Draw inferences.

·         Find unstated main ideas.

·         Recognize causes and effects.

·         Use context clues to define terms.

·         Distinguish fact from opinion.

Book 9 - Science IV: Atmosphere, Climate, Solar System

·         Find main ideas.

·         Draw inferences and conclusions.

·         Summarize written material.

·         Use context clues to define terms.

·         Read for detail.     

·         Identify sequences.

·         Identify causes and effects.

·         Compare and contrast.

Book 10 - Science V: Atoms, Nuclear Energy, Periodic Table

·         Find main ideas.

·         Draw inferences.

·         Compare and contrast.

·         Identify cause and effect.

·         Interpret models.

·         Identify sequences.

Book 11 - Science VI: Electricity, Magnetism, Matter, Motion

·         Find main ideas.

·         Use context clues to define terms.

·         Draw inferences.

·         Compare and contrast.

·         Identify sequences.

·         Distinguish fact from theory and hypothesis.

Book 12 - Social Studies I:  US History: 1492-1789

·         Interpret graphs and charts.

·         Identify sequences.

·         Recognize causes and effects.

·         Use context clues.

·         Distinguish fact from opinion.

·         Determine the relative importance of events.

Book 13 - Social Studies II:  US History: 1790-1864

·         Interpret visual material.

·         Identify sequences.

·         Determine causes and effects.

·         Draw inferences.

·         Compare and contrast situations/events.

Book 14 - Social Studies III:  US History: 1865-1930

·         Draw inferences.

·         Determine the relative importance of information.

·         Identify causes and effects.

·         Distinguish fact from opinion.

·         Interpret visual material.

·         Determine sequence.

Book 15 - Social Studies IV:  US History: 1930-1945

·         Find main ideas.

·         Determine causes and effects.

·         Draw inferences.

·         Recognize differing points of view.

Book 16 - Social Studies V:  US History: Post World War II

·         Determine meaning from context.

·         Draw inferences.

·         Identify causes and effects.

·         Determine the relative importance of events.

·         Organize material according to time sequence.

Writing

Book 1 - Spelling

·         Form plurals using s and es.

·         Form plurals for words ending in y, f, and fe.

·         Add suffixes that begin with vowels to words.

·         Add suffixes that begin with consonants to words.

·         Add common prefixes to words.

Book 2 - Capitalization and Punctuation

·         Capitalize proper nouns.

·         Capitalize words in appropriate situations.

·         Use correct end punctuation.

·         Use commas to separate items in a series; to set off nonessential information; to separate main clauses in compound sentences; and in other situations.

Book 3 - Nouns and Verbs

·         Recognize roles of nouns and verbs in sentences.

·         Use “helper” verbs correctly to form various tenses.

·         Recognize words commonly mistaken for and misused as verbs.

·         Use sit and set, lie and lay, and rise and raise correctly.

Book 4 - Subject-Verb Agreement

·         Select correct verbs for subjects with either/or, neither/not, or but/also.

·         Select verbs for subjects that are collective nouns.

·         Select verbs for sentences beginning with there or here.

·         Select verbs for each, everybody, no one, and everybody.

·         Select verbs for subjects with positive and negative elements.

Book 5 - Pronouns

·         Use subject and object forms of pronouns correctly.

·         Use “divide and conquer” strategy for compound subjects and objects.

·         Use who, which, and that correctly.

·         Use possessive pronouns correctly.

·         Distinguish possessive pronouns from sound-alike contractions.

·         Use these, those, and them correctly.

Book 6 - Modifiers

·         Recognize the function of modifiers.

·         Use good and well correctly.

·         Distinguish between real/very, fewer/less, and many/much.

·         Use barely, scarcely, and hardly correctly.

·         Use comparative and superlative forms of modifiers correctly.

·         Recognize when the possessive of a noun is used and form it correctly.

Book 7 - Sentence Structure and Expression

·         Recognize and correct run on sentences and sentence fragments.

·         Place modifiers for clarity.

·         Edit for parallel construction.

·         Edit to combine ideas.

·         Edit to omit the unnecessary.

Book 8 - Composition:  Logic, Organization

·         Identify main ideas in paragraphs

·         Select effective topic sentences.

·         Order sentences in paragraphs for clarity.

·         Omit irrelevant information and reduce wordiness.

·         Use transitional words and phrases effectively.

Book 9 - Word Choice, Style

·         Reduce redundancy.

·         Select correct homonyms.

·         Edit for active voice.

·         Eliminate it, you, and they when there is no clear antecedent.

·         Distinguish between commonly confused words.

Book 10 - Review

·      Review ways to modify run-ons and fragments, rules for subject-verb agreement, rules for correct usage, guidelines for using helper verbs, ways to find and omit irrelevant information, ways to find effective topic sentences, ways to connect ideas.