Overview:BJU press MathGrades 1–12

New editioNs of our eNtire Math liNe!

NOw availaBle!The complete line of new editions for BJU Press Math!What makes these new editions special?

in this BookletKey distinctives—what makes BJU Press Math unique

introducing the author team—information about our key math authors

National standards—how BJU Press Math compares

how to use BJu Press Math—tips for using the textbooks in a classroom

our Philosophy in action—with examples from BJU Press math textbooks

scope & sequence—topics covered on each grade level

how to order—how you can purchase new BJU Press math textbooks

New photos and illustrations—•more engaging and colorful than ever

revised text—• presentation of concepts is even clearer

academic rigor—• content is more challenging

updated teacher’s editions—•better organization and more teaching helps

Attention to national academic •standards

New activities and exercises•

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introducing the author teamThe BJU Press Math authors have taught in the classroom and have first-hand experience communicating mathematical concepts to students. They understand how a student’s mind works, and each of them brings that expertise to the development and presentation of content of our math textbooks.

Gina BradstreetGina began her teaching career when she and her husband Dan moved to Michigan, where they both taught at a small Christian school in Hillsdale. After teach-ing for several years, she home-

schooled her children while doing freelance writing on educational topics. Gina now uses her writing skills and educational expertise at BJU Press.

Mark wetzelAfter graduating with a B.S. in Mathematics Education, Mark re-turned to the Chicago area where, for 22 years, he taught secondary math and sciences courses and served as a soccer and basketball

coach. He now writes for BJU Press and is cur-rently completing a Masters in Education.

Gene BucholtzAfter graduating with a B.S. in Mathematics Education, Gene taught math and computer sci-ence courses for 30 years at two different Christian schools. During this time he completed his

Masters in Education. Currently Gene lends his valuable experience to the BJU Press math team.

tami Knisely After graduating with a degree in Mathematics Education, Tami taught elementary and junior high math for 20 years. She also worked as a math instructor for BJU Press Distance Learning. She recently

joined the math team at BJU Press and is pursu-ing a Masters in Education.

Key DistiNctivesWhat makes BJU Press Math different from any other math program?engaging PresentationSince so many students dread math class, we have designed a program that engages stu-dent interest using age-appropriate, colorful themes and clear explanation. On the el-ementary level, new concepts are introduced with student manipulatives to promote inter-active learning.

Comprehension and reviewThe key to success in math is comprehen-sion. A student who tries to survive on mem-orization alone will struggle as higher-level skills are introduced. BJU Press Math ensures comprehension of basic concepts and builds

on that foundational understanding with fre-quent review and thoughtful introduction of new topics.

relevant applicationAs students learn about all the ways math can apply to real life, they will be more excited about learning new skills. Our text-books show how math formulas and facts can be used to make life easier. The exercises and problems demonstrate math use in a va-riety of situations—distance, measurement, finances, size, volume, and more.

a few of our key writers . . .

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National standards

our textbooks meet or exceed all national academic standards. We review all national standards for the subject before we begin the revision process for any textbook. We review state standards for states that are leaders in education and incorporate them into our materials. Thus, BJU Press Math textbooks are academically rigorous and grade-appropriate, yet we never sacrifice a thoroughly biblical worldview on the altar of secularism.

some of our mathematics teacher’s editions contain correlation guides, like the sample included below. These guides offer information about national standards for that subject and grade to help teachers see how BJU Press Math measures up. If you have any specific questions about our compliance with your state’s standards, check with your territory manager.

x NCTM Standards for Mathematics

Chapters1 2 3 4 5 6 7 8 9 10 11 12 13 14

Number and Operations StandardUnderstand numbers, ways of representing them, relationships among them, and number systems

✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓

Understand meanings of operations and how they relate to one another ✓ ✓ ✓ ✓ ✓ ✓

Compute fluently and make reasonable estimates ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓

Algebra StandardUnderstand patterns, relations, and functions ✓ ✓ ✓

Represent and analyze mathematical situations and structures using algebraic symbols ✓ ✓ ✓ ✓ ✓ ✓ ✓

Use mathematical models to represent and understand quantitative relationships ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓

Analyze change in various contexts ✓ ✓ ✓

Geometry StandardAnalyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geo-metric relationships

✓ ✓

Specify locations and describe spatial relation-ships using coordinate geometry and other representational systems

✓

Apply transformations and use symmetry to analyze mathematical situations ✓

Use visualization, spatial reasoning, and geo-metric modeling to solve problems ✓ ✓

Measurement StandardUnderstand measurable attributes of objects and the units, systems, and processes of measurement

✓ ✓

Apply appropriate techniques, tools, and for-mulas to determine measurements ✓ ✓ ✓ ✓ ✓ ✓

Data Analysis and Probability StandardFormulate questions that can be addressed with data and collect, organize, and display relevant data to answer them

✓

Select and use appropriate statistical methods to analyze data

✓

Develop and evaluate inferences and predic-tions that are based on data

✓

Understand and apply basic concepts of probability

✓

NCTM Standards for Mathematics

Pre-Algebra Teacher’s Edition Book 1

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how to Use BJU press Math

how does BJu Press Math work in the classroom? Our Teacher’s Editions and the accompanying Toolkit CDs are designed to be the math teacher’s best friend. Each Teacher’s Edition, CD, and Activity Manual offer a wealth of support so that the teacher can be well-prepared for every lesson.

a suggested teaching schedule •assists the teacher in lesson planning.

reduced student pages with •answers enable the teacher to view student text and provide room in margins for the explanatory material and teaching strategies.

Charts, manipulatives, and other •aids help the teacher explain and demonstrate concepts.

ideas and instructions• assist the teacher with teaching math for understanding.

Chapter introductions• give the teacher perspective on each chapter and its goals.

Materials lists• for each chapter and lesson ensure that the teacher has all needed supplies.

reproducible student pages• allow for reteaching and enrichment.

daily review segments • are included.

suggested activities • expand the lessons.

Bible integration • is woven through the Teacher’s Edition and other materials.

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Our Biblical worldview in action

The study of math provides many opportuni-ties for promoting spiritual understanding and growth in godliness. In nearly every class period the Christian teacher of mathematics can reinforce character traits such as diligence, honesty, precision, and perseverance. The stu-dent learns procedure by principle, which is necessary in moral and spiritual life as well as in mathematics.

The Christian math teacher emphasizes the evidence of purposeful design in the universe. He illustrates this design using pictures and diagrams that point out natural geometric pat-terns and their functions—for instance, the hexagonal structure of a honeycomb or the Golden Ratio.

the study of math helps the student discover truths about the Creator. On page 128 of the Math 3 Student Text, following the chapter theme of caves, a photo of the Big Room at Carlsbad Caverns bears a caption reminding the student that “God created all

things in heaven and earth” (Colossians 1:16).

In the Math 4 Teacher’s Edition, on page 312, the

lesson introduc-tion states the following:

When a sub-marine dives

thousands of feet down into the depths

of the ocean, it can-not be seen by anyone above the

surface of the water. However, God is omnipresent, which means that He

is everywhere and that He sees all things. God knows exactly where a submarine is, and He can see all the crew members.

This introduction continues the submarine theme from earlier lessons and points out one of God’s attributes—His omnipresence.

the study of math can improve a student’s own mental clarity and critical-thinking skills. For the Algebra 1 Chapter 13 Exam, stu-dents must define expressions for each of two numbers, write a rational equation from given information, and solve the resulting quadratic equation.

In the Fundamentals of Math Student Text, the “Dominion Through Math” section on page 17, the student is asked to determine which type of estimate is best for the situation.

Estimate the lift needed to fly a plane (empty weight of 1,981 lb.) carrying adults (average weight of 190 lb.), 2 children (average weight 85 lb.), and 285 lb. of fuel.

Is the answer to exercise 40 an overestimate or an underestimate? Why? As a pilot, should you over- or underestimate the total weight of your plane? Why?

The follow-up question also requires the stu-dent to think beyond the problem and analyze a real-life situation.

On pages 438-40 of the Math 5 Teacher’s Edition, the student participates in a hands-on

measurement lesson, using charts, a yard tape, and a 14-foot rope. The

student throws a ball as far as he can and measures the distance.

The lesson begins with recalling multiplication and division facts and

subtracting like fractions and mixed numbers. It includes measuring to the

nearest inch, foot, and yard; writing the ab-breviation for each unit of length; reading the symbols for foot and inch; renaming inches, feet, and yards; renaming miles as feet; and determining the appropriate customary unit of length. This exercise requires the student to recall multiple concepts and apply them practically.

the study of logic lessens the student’s likelihood of falling prey to certain fallacies.

The Geometry Activities Manual presents this paradox:

Can God create a rock that He cannot lift? Many people would reply that of course He could, because God can do anything.

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However, if He did create a rock He could not lift, then He would not be able to lift it and therefore could not do everything. This para-dox results from a misunderstanding of the principle that God can do anything.

Can God lie or sin in any way? Give a verse to support your answer. God can do anything that is consistent with His character, but we cannot apply the principle that God can do anything in cases like sin or the paradox above. What fallacy, therefore, does this para-dox commit?

These questions teach the student to identify a fallacy and counter it with real logic.

the study of math helps the student find so-lutions to real-life questions. Page 243 of the Math 2 Student Worktext presents this problem:

Chef Andre has 2 cookie sheets. He puts 7 cookies on each sheet. How many cookies does he make?

While teaching simple multiplication, this problem also helps the student begin to see

the connection between math problems and real life.

The student encounters this ques-tion in the Math & Scripture feature

on page 387 of the Pre-Algebra Student Text.

If a family’s average annual income over forty-five work-ing years is about $50,000,

what total amount will they have contributed to the Lord’s work if they give just 10%?

This question relates to the parable of the talents

in Matthew 25:14–28 and shows how sound financial planning allows a person to serve the Lord in amazing ways.

a sound mathematical foundation opens the door to many career opportunities. Questions throughout each textbook show students how math skills are used to solve real problems in hundreds of careers—cooking, re-tail sales, carpentry, medicine, clothing design, and many more.

In Chapter 1 of the Precalculus Student Text, the student has completed a scatterplot illustrat-ing the relationship between the length and

weight of alligators and found linear, quadratic, cubic, and exponential equations modeling the relationship between these characteristics. Chapter Review page 42 asks the student to

Give an overall evaluation of these models. Which would you prefer and why?

This question requires the student to analyze the models and express a preference based on specific reasons. A zoologist observing alliga-tors might have to make a similar choice in the course of his study.

The “Dominion Through Math” section on page 387 of the Geometry Student Text states the following:

Printing presses, copiers, and automated packaging machines use a series of rollers to feed paper. The smallest roller often drives the others as it turns. A certain copier has three rollers whose radii are 2 inches for A, 3 inches for B and 4 inches for C. In the coor-dinate plane, their centers are A (12, 2), B (3, 3) and C so that the roller rests on the two. Roller A is the drive, and circle C is tangent to both A and B.

Draw the circles on the graph paper. How can you find the center (and shaft) of roller C?

This question teaches the student how math might be used by someone with a career in printing or packaging.

Quiz 3 for Fundamentals of Math poses this question:

Last month Mr. Cain had $40,000 in sales with a 10% commission. His commission was raised to 12%. If he makes $40,000 in sales next month, how much more will his monthly check be?

Here the student learns about the usefulness of math to someone who works on commission.

Questions like this help the student under-stand that math is relevant not only to his everyday life but also to his future career. God calls Christians into many fields of service, and mathematics is a prerequisite to many voca-tions, especially those involving technology or finances. With a sound foundation in math-ematics, the student will be prepared to enter one of these fields and bring the light of the gospel with him.

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MathGrade 1

Math3rd Edition

NumerationIdentify 0–999•Writing 0–100•Number words: zero to twenty•

Number SenseOrdinals: first–tenth; first, next, •last; before, after, betweenPattern; sequencing: first, next, •last; before, after, betweenNumber line•Place value: hundreds/tens/ones; •10 more/10 less; 100 more/100 less; even/odd numbers; compare with < and >; expanded form

CountingCount to 1000 by 1s; count to •1000 by 100s; count to 200 by 10s; count to 100 by 5s; count to 50 by 2s; count to 30 by 3s; count forwards and backwards

Addition100 basic facts; 2- and 3-digit •addends; rename 10 ones as 1 ten; column addition; equation; vertical form; word problemsOrder Principle, Zero Principle, •Grouping Principle

Subtraction100 basic facts; fact families; •2-digit minuend and subtrahend; equation; vertical form; money

Word problems; take-away, com-•parison, missing addendZero Principle•

MultiplicationReadiness; repeated addition; •doubling; counting by 2s, 3s, 5s; equation; word problems

DivisionReadiness; fair shares•

Algebra ReadinessEquation; missing addend•

FractionsEqual parts; halves; thirds; •fourths; part of a set of objects; fair shares

DecimalsMoney•

GeometryFlat shapes: circle, square, •triangle, rectangle; sides and corners; symmetry; same size; same shapeSolid figures: sphere, cylinder, •rectangular prism, cube, cone, pyramid; corners, faces, curvesSpatial relationships; patterns; •perimeter

EstimationNumbers of objects•

Length: inch, centimeter•Weight: weighs more, weighs less•Capacity: holds more, holds less•

MeasurementLength/Height: non-standard •units, inch, centimeterWeight: weighs more, weighs •less; poundMass: kilogram•Capacity: holds more, holds less; •cup, quart, gallon, literTemperature: Fahrenheit; Celsius•Measuring tools: ruler, scale, •thermometer, cupTime: to 5-minute interval; •elapsed timeCalendar: days, weeks, months, •yearMoney: penny, nickel, dime, •quarter

Problem SolvingWord problems; graphs; tables; •probability; money

Statistics and GraphsPictograph; bar graph; tallies•

CalculatorsMake numbers; addition; •subtraction

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Scope & SequenceGrade 2

Math3rd Edition

NumerationIdentify and write 0–9,999; num-•ber words: zero to nine hundred ninety-nine

Number SensePlace value: thousands/hun-•dreds/tens/ones; 10 more/10 less; 100 more/100 less; even/odd numbers; round to the nearest ten and hundred; compare with < and >; expanded formOrdinals: first–twentieth•Patterns; sequencing: before, •after, between; number line

CountingCount by 1s, 5s, 10s, and 100s; by •2s to 60; by 3s to 30; by 4s to 40

Addition100 basic facts; fact families; •4-digit addends; column addi-tion; rename 10 ones as 1 ten, 10 tens as 1 hundred, 10 hundreds as 1 thousand; money; word problems; strategiesOrder Principle, Zero Principle, •Grouping Principle

Subtraction100 basic facts; fact families; •3- and 4-digit minuend and sub-trahend; rename 1 ten as 10 ones, 1 hundred as 10 tens, 1 thousand as 10 hundreds; moneyWord problems; take-away, •comparison, missing addend; strategiesZero Principle•

MultiplicationRepeated addition; array; number •line; equation; vertical form; fac-tors: 0–5, 10; word problemsOrder Principle, Identity Principle, •Zero Principle

DivisionEqual sets; equation; missing fac-•tor; divisor: 1–5; word problems

Algebra ReadinessEquation; missing addend; miss-•ing factor; Order Principle, Group-ing Principle, Zero Principle

FractionsEqual parts; halves to tenths; part •of a set; fair share; compare with common denominators; compare with 1 as the numerator

DecimalsMoney•

GeometryPlane figures: circle, square, •triangle, rectangle, pentagon, hexagon, oval; sides, vertices; similar, congruent; symmetry; slides, flips, turnsSolid figures: sphere, cylinder, •rectangular prism, cube, cone, pyramid; faces, edges, vertices, curvesLines: horizontal/vertical; parallel/•intersectingArea; perimeter; patterns•

EstimationRound to nearest ten and •hundred

Length: inch, foot, yard; centime-•ter, meterWeight: more than/less than 1 •pound, 1 ounceMass: more than/less than 1 •kilogram; about 1 gram/more than 1 gramCapacity: more than/less than •1 cup, 1 pint, 1 quart, 1 gallon; more than/less than 1 liter

MeasurementLength: inch, foot, yard; centime-•ter, meterCapacity: cup, pint, quart, gallon; •literWeight: ounce, pound•Mass: gram, kilogram•Temperature: Fahrenheit; Celsius•Measuring tools: ruler, scale, •thermometer, cup, literTime: to 5-minute interval; •A.M./P.M.; elapsed timeCalendar: day, week, month, year•Money: penny, nickel, dime, •quarter, half-dollar, 1 dollar

Problem SolvingWord problems; graphs; tables; •charts; map skills; probability; money

Statistics and GraphsPictograph; bar graph; coordinate •graph; line graph; circle graph; tables; charts; tallies

CalculatorsAddition; subtraction•

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MathGrade 3

Math3rd Edition

Number SenseRecognize and write 0–1,000,000 •with numerals and words; Roman numerals: I–XIIIOrdinals; first through ninety-•ninth; order; number line; 10 more/10 less; place value; ones to hundred thousands; expanded form; even/odd numbers; round to the nearest ten; hundred; one thousand; compare with > and <

CountingCount by 1s, 2s, 5s, 10s, 100s, •1,000s, 10,000s; count by 2s to 20, by 3s to 30, by 4s to 40, by 5s to 50, by 6s to 60, by 7s to 70, by 8s to 80, by 9s to 90

Addition100 basic facts; fact families; five-•digit addends; column addition; rename 10 ones as 1 ten to 10 one thousands as 1 ten thousand; money; strategies; word prob-lems; Commutative Property, Associative Property, Identity Property

Subtraction100 basic facts; fact families; five-•digit minuend and subtrahend; word problems; rename 1 ten as 10 ones to 1 ten thousand as 10 one thousands; money; word problems; strategies; take-away, comparison; missing addend; Zero Property

Multiplication110 basic facts; fact families; mul-•tiples; repeated addition; arrays; number line; equation; vertical form; 1 digit factors; 2 to 3 digits

by 1 digit; renaming; strategies; word problems; Commutative Property; Associative Property; Identity Property; Zero Property

Division110 basic facts; fact families; •equal sets; repeated subtraction; measurement; partition/strate-gies; equation; division frame; word problems; 2 and 3 digits by 1 digit; 1-digit remainders

Algebra ReadinessEquation; missing addend; miss-•ing factor; negative numbers (temperature); Properties

FractionsPart of a whole; part of a set; •equivalent fractions; compare; order; mixed numbers; add and subtract like fractions

DecimalsRead and write tenths and •hundredths; mixed numbers; compare; order; add and subtract; rename 10 tenths as 1 one and 10 hundredths as 1 tenth; word forms; money; word problems

GeometryPlane figures: circle, polygons, •square, triangle, rectangle, pen-tagon, hexagon, octagon; edge, vertex; slides, flips, turnsSolid figures: sphere, cube, •cylinder, cone, rectangular prism, rectangular pyramid; faces; edges; vertices; curved surfaceLines: horizontal/vertical; parallel/•intersecting; symmetryArea; perimeter; patterns•

EstimationRound to nearest ten, hundred, •and one thousandLength; distance; capacity; •weight; mass

MeasurementLength: ½ inch, foot, yard, mile; •centimeter, meter, kilometerCapacity: cup, pint, quart, gallon; •milliliter, literWeight: ounce, pound•Mass: gram, kilogram•Temperature: Fahrenheit; Celsius•Time: to 1-minute interval; past •and future elapsed time to 5-min-ute interval; before/after the hour; A.M./P.M.; noon/midnightCalendar: date, future date; •scheduleMoney: coins; five-dollar bill; •ten-dollar bill; dollar sign; decimal point; addition, subtraction

Problem SolvingWord problems; graphs; tables; •charts; schedule; map skills; logic; probability; money; multi-step problems; problems with too little information; Problem Solv-ing Plan

Data and GraphsBar graph, pictograph; line plot; •line graph; coordinate graph; circle graph; tables and charts; tallies

CalculatorsAddition; subtraction•

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Scope & SequenceGrade 4

Math3rd Edition

Number SenseRecognize and write •0–100,000,000 with numerals and words; Roman numeraIs: I–XXXIXOrdinals; first through ninety-•ninth; order; number line; 10 more/10 lessPlace value: ones to hundred •thousands; compare; expanded form; even/odd numbers; round to the nearest ten, hundred, one thousand; compare with > and <

CountingCount by 1s, 2s, 5s, 10s, 100s, •1,000s, 10,000s; count by 2s to 20, by 3s to 30, by 4s to 40, by 5s to 50, by 6s to 60, by 7s to 70, by 8s to 80, by 9s to 90

Addition100 basic facts; fact families; six-•digit addends; column addition; rename 10 ones as 1 ten to 10 one thousands as 1 ten thousandStrategies; word problems; •moneyCommutative Property, Associa-•tive Property, Identity Property

Subtraction100 basic facts; fact families; •six-digit minuend and subtra-hend; rename 1 ten as 10 ones and 1 ten thousand as 10 one thousandsStrategies; word problems; •money; take-away, comparison; missing addend; unknown partZero Property•

Multiplication110 basic facts; fact families; mul-•tiples; repeated addition; arrays; number line; equations; vertical form; 1-digit factors; 1 digit times 2–4 digits; 2 digits times 2–3 digits; renaming; strategies; word problems

Commutative Property; Associa-•tive Property; Identity Property; Zero Property; Multiplication; Addition Principle

Division110 basic facts; fact families; •equal sets; repeated subtraction; measurement; partition/strate-gies; equation; division frame; word problems; computation: 2–4 digits by 1 digit; 2–3 digits by 2 digits; 1–2 digit remainders

Algebra ReadinessEquations; missing addend; •missing factor; negative numbers; function tables; variables

FractionsPart of a whole; part of a set; add •and subtract like fractions and mixed numbers with like frac-tions; rename improper fractionsEquivalent fractions; compare; •order

DecimalsRead and write tenths and •hundredths; mixed numbers; compare; order; add and subtract; rename 10 tenths as 1 one and 10 hundredths as 1 tenth; word forms; money; word problems; round to nearest whole

GeometryPlane figures: circle, polygons, •square, triangle, rectangle, pen-tagon, hexagon, octagon; edge, vertex; slides, flips, turns Solid figures: sphere, cube, •cylinder, cone, rectangular prism, rectangular pyramid; face, edge, vertex; curved surfaceLines: horizontal/vertical, parallel/•intersecting, segments, points, rays, angles: right, acute, obtuseSymmetry; similar; congruent•Circle: radius, diameter•

Perimeter; area; patterns•

EstimationRound to nearest ten, hundred, •and one thousand Round for addition, subtraction, •multiplication, and divisionLength; distance; capacity; •weight; mass

MeasurementLength: ¼ and ½ inch, foot, yard, •mile; centimeter, meter, kilome-ter, millimeterCapacity: cup, pint, quart, gallon; •milliliter, literWeight: ounce, pound, ton•Mass: gram, kilogram•Temperature: Fahrenheit, Celsius•Time: to 1-minute interval; past •and future elapsed time to 5-min-ute interval; before/after the hour; A.M./P.M.; noon/midnightCalendar: date, future date; •scheduleMoney: coins; one, five, ten, and •twenty dollar bills; dollar sign; decimal point; addition, subtrac-tion; multiplication; division

Problem SolvingWord problems; graphs; tables; •charts; schedule; map skills; logic; probability; money; multi-step problems; problems with too little information; Problem Solving Plan

DataPictograph; bar, line, circle, and •coordinate graphsTables; charts; tallies; line plot; •stem and leaf plotMean, median, mode, range, •frequency

CalculatorsAddition; subtraction; division•

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MathGrade 5

Math3rd Edition

Grade 6Math

3rd Edition

Number SenseRecognizing and writing •0–100,000,000,000 as numerals and words; Roman numerals: I–CPlace value: ones to hundred bil-•lions; comparing; expanded form; even/odd numbers; positive/ negative numbers; number line; expressions and equations

Addition & SubtractionBasic facts; fact families; six-digit •numbers; renaming to hundred thousands; inverse relation-ship; strategies; word problems; money; compensationProperties: Commutative, Asso-•ciative, Identity; Zero Principle

MultiplicationBasic facts; fact families; mul-•tiples; repeated addition; arrays; equations; vertical form; 1–3 digits times 2–4 digits; renam-ing; strategies; word problems; money; factor trees; prime and composite numbers; GCF; LCMProperties: Commutative Associa-•tive, Identity, Zero, Distributive over Addition

DivisionBasic facts; fact families; equal •sets; inverse of multiplication; measurement; partition; fraction form; equations; 2–4 digits by 1–2 digits; remainders; strategies; word problems; money

FractionsPart of a whole; part of a set; •equivalent fractions; comparing; ordering; lowest terms; renaming improper fractions and mixed numbersAdding and subtracting like and •unlike fractions; adding and subtracting mixed numbers with like and unlike fractionsMultiplying a whole number •times a fraction and a fraction

times a whole number; multiply-ing a fraction times a fraction; multiplying a whole number times a mixed number; multi-plying a mixed number times a mixed numberDividing a whole number by a •fraction; dividing a fraction by a fraction; reciprocals

DecimalsReading and writing tenths, •hundredths, one thousandths; writing as fractions and mixed numbers; comparing; ordering; renaming to thousandths; word forms; money; word problems; rounding to nearest hundredth

Adding and subtractingMultiplying a decimal by a whole •number, by a decimal, and by a power of 10Dividing a decimal by a 1-digit •whole number; dividing a whole number by a whole number with a decimal quotient; dividing to rename a fraction as a decimal; di-viding a decimal by a power of 10

GeometryPoints; horizontal/vertical lines; •parallel/intersecting/perpen-dicular lines; line segments; rays; angles: right, acute, obtuse; measuring angles Plane figures: circle, polygons, •square, triangle, rectangle, pentagon, hexagon, octagon, quadrilateral, parallelogram, rhombus, trapezoid; edge, vertex; similar, congruent, symmetrical; translation, reflection, rotation; perimeter; circumference; areaSolid figures: sphere, cone, cylinder, •polyhedrons, cube, prisms, pyra-mids; face, edge, vertex, curved surface; nets; surface area; volumeCircle: center point; radius; diam-•eter; chord; central angles

Triangles: sum of angles = 180º; •acute, obtuse, right; isosceles, scalene, equilateral

EstimationRounding to a given place•Rounding for addition, subtrac-•tion, multiplication, and divisionWhole numbers; fractions; •decimalsLength; distance; capacity; •weight; mass

MeasurementLength; capacity; weight; mass; •temperatureTime: past and future elapsed •time; equivalent units; converting units; adding and subtractingCalendar; writing dates•

Problem SolvingWord problems; graphs; tables; •charts; schedule; map skills; logic; probability; money; multi-step problems; problems with too little or too much information; Problem-Solving Plan

DataTables; charts; tallies; frequency •table; line plot; stem-and-leaf plotPictograph; bar/double bar •graph; line/double line graph; circle graph; coordinate graphMean, median, mode; range; •frequency; scale; interval

Ratios, Proportions, PercentsEquivalent ratios; unit rate; scale •drawings; map scaleWriting percents as fractions and •decimals; writing fractions as percents; comparing percents to decimals and fractions; finding the percent of a number

CalculatorsVaried activities•

Math 6, 3rd edition, will help •students through the transition between elementary and second-ary math, reviewing previously taught concepts and introduc-ing new ones. Look for updated content and new photos and illustrations, plus extra helps for teachers!

Additional information will be available in BJU Press Scope & Sequence 2012 and in the 2012 BJU Press catalogs.

FALL 2011

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Scope & SequenceGrade 7

Fundamentals of Math2nd Edition

Grades 7–8Pre-Algebra

2nd Edition

Integers: absolute value; opera-•tions; exponents; order of opera-tions; scientific notationExpressions: real number proper-•ties; evaluating and simplifying expressions; translating word phrases; rounding and estimating results of operationsEquations: solving two-step •equations; removal of parenthe-ses; subsets of the real numbers; irrational numbers; solving linear inequalities; applying equations and inequalitiesNumber Theory: prime factoriza-•tion; GCD and LCM; arithmetic and geometric sequences; number bases other than 10, in-cluding hexadecimal; operations in other basesRational Numbers: forms of; •ordering fractions and decimals; decimal equivalents of fractions; conversion of repeating decimals to fractions; ratios and propor-tions; subsets and properties of real numbers

Operations on rational numbers: •operations; evaluating and simplifying expressions; solving equations involving rationals; operations in scientific notationPercents: solving percent equa-•tions; applying percents; scales; discount, markup, commissions, tips, and interest (including com-pound); percent changeApplications: equations with •variables on both sides; writing and solving equations and inequalitiesRelations and Functions: coordi-•nate plane; functions; graphing linear functions and linear in-equalities; slope; direct variationStatistics and Probability: popula-•tion and sample; mean, median, and mode; scatterplot; quartiles; box and whisker; stem and leaf; histograms; choosing the correct type of graph; permutations; combinations; probabilityRadicals: square roots; radi-•cal equations; equations with

radicals; equations of the form ax2+b=c; Pythagorean theorem; operations with radicals; cube rootsGeometry: pairs of angles; •polygons; perimeter and circumference; congruence and similarity; 30—60 and 45—45 right triangle ratios; distance and midpoint formulas; symmetry and transformationAreas and Volumes: areas of •quadrilaterals, triangles, and circles; relation of lengths and areas of similar regions; surface areas of prisms, cylinders, pyra-mids, cones, and spheresPolynomials: definition of a •polynomial; operations with polynomials including multiply-ing binomials and dividing a polynomial by a monomial

Whole numbers: comparing and •ordering; estimating; opera-tions; exponents; roots of perfect squaresDecimals: comparing and •ordering; rounding; approximat-ing square roots; operations; estimating square roots; scientific notationNumber theory: divisibility; •factors; prime and composite numbers; GCD and LCM; convert-ing and adding in other number basesFractions: equivalent fractions; •mixed numbers; comparing and ordering; operations; order of operationsRational numbers: ratio and •proportion; solving proportions; scale drawings; decimals as rational numbers; finding a per-cent (part) of a number; finding the percent; finding the whole amount

Using percents: enlargement and •reduction; sales tax; discounts; sale price; simple interest; com-mission; percent changeMeasurements: customary units •of length, capacity, and weight; SI (metric) units of length, capacity, and mass; renaming metric units; time zones; temperature conver-sions; precisionGeometry: measuring angles; •pairs of angles; perpendicular and parallel lines; transversal of parallel lines; polygons; circle; perimeter and circumference; Pythagorean theorem; congruent and similar figuresArea and volume: area of quad-•rilaterals, triangles, and circles; areas of similar figures; surface area of prisms, cylinders, and pyramids; volume of prisms and cylindersProbability and statistics: fun-•damental principle of counting;

permutations; probability; mean, median and mode; circle, bar, and line graphs; histograms; box and whisker plots; stem and leaf diagramsIntegers: ordering; operations; •applying order of operations; expansion to and properties of the real numbersAlgebra: evaluating expressions; •solving one- and two-step equa-tions; solving one and two step inequalitiesRelations and functions: co-•ordinate plane; functions and function rules; graphing linear functions; slope; translation of figures in a planeLogic and set theory: statements •and negations; compound and conditional statements and negations; truth tables; sets and subsets; union and intersection of sets; finite and infinite sets

12 800.845.5731

MathGrades 8–10

Algebra 12nd Edition

Grades 9–11Geometry

3rd Edition

Grades 10–12Algebra 2

2nd Edition

Integers: number lines; absolute •values; operations; exponents; factors Real numbers: operations; order •of operations; grouping; roots; set operationsLanguage of algebra: variables; •word phrases; negative expo-nents; evaluating expressions; like terms; parentheses; formulas; properties of equality; word sentencesSolving equations: linear equa-•tions; word problems; absolute value equations

Solving inequalities: properties; •solutions; compounds; absolute values; word problemsRelations, functions, and graphs: •graphs; lines; slopes; equations of lines; direct variations; linear inequalities Systems: graphing; substitution; •addition method; word problems; inequalitiesPolynomials: classification; evalu-•ation; operationsFactoring: common factors; differ-•ence of squares; trinomialsRadicals: simplifying; operations; •Pythagorean theorem; distance formula; radical equations

Quadratic equations: factoring; •square roots; completing the square; quadratic formula; word problemsRational expressions: simplify-•ing; operations; complex rational expressionsRational equations: solving •equations; word problems; literal equations Quadratic functions: parabo-•las; zeros of a function; word problems

(Each chapter also has a feature on probability and statistics.)

Incidence geometry: sets; •definitions; incidence theorems; sketches and constructionsSubsets of lines, planes, and •space: betweenness; curves; circles; polygons; polyhedraSegment measures: real number •properties; segment measures and bisectors; perimeter; circum-ference; polygons; constructionsAngle measures: inequality •properties; angle measure and bisectors; polygons; angle constructionsPreparing for proofs: statements; •quantifiers; truth tables; proof types; deduction

Congruence: segments; angles; •polygons; parallel lines cut by transversal; postulates; trianglesPolygons: right triangles; exterior •angles; triangle inequality; paral-lelograms; constructions Area: postulates; polygons; •Pythagorean theorem; regular polygons; circles; surface area formulasCircles: chords; tangents; arcs; •inscribed angles; sectors; constructionsSpace: perspective; separa-•tion; perpendiculars; parallels; polyhedra; spheres; earth; non-Euclidean geometry

Volume: postulates; prisms; cylin-•ders; pyramids; cones; polyhedra; spheresTransformations: reflections; •translations; rotations; dila-tions; invariants; applications; symmetrySimilarity: triangles; right •triangles; proportions; problem solving; chords and tangents of circles; golden ratioTrigonometry: ratios; special •triangles; solving right triangles; identities; applications; regular polygons

(Each chapter also has a feature on analytic geometry.)

Operations: real numbers; poly-•nomial operations; factoringLinear equations: solving equa-•tions and inequalities; absolute value equations and inequalities; distances on number lines; word problems; compound inequalitiesLinear relations: line graphs; •functions; slopes; special func-tions; operations on functions; linear inequalities; distances and midpointsQuadratic equations: factoring; •completing the square; quadratic formula; problem solving; qua-dratic inequalitiesPolynomial relations: quadratic •functions; translations; problem solving; quadratic inequalities; zeros of a function; remainder and factor theorems; graphing polynomial functions

Systems: graphing; substitution; •addition method; problem solv-ing; systems of inequalities; linear programming; systems of three variablesRadical and exponential func-•tions: simplification; operations; equations; functionsComplex numbers: operations; •solutions to quadratic equations; graphs; vectorsRational expressions: simplifying; •operations; functions; equations; variations; work problems Trigonometry: right triangle •trigonometry; problem solving; special triangles; radians; func-tions and graphs; amplitude and periodIdentities: Law of Sines; Law •of Cosines; problem solving; proving identities; trigonometric equations

Inverse functions: inverse trigo-•nometric functions; logarithms; problem solving Probability and statistics: permu-•tations; combinations; binomial theorem; laws of probability; descriptive statistics; standard normal distributionAnalytical geometry: circles; •parabolas; ellipses; hyperbolas; systems of Quadratic Relations

(Each chapter begins with an ap-plication from real data correlated to that chapter. Sports, health, nutrition, politics, highway safety, and astronomy provide some of the data sources. Throughout the chapter, statistical analyses will optionally be applied to the data with mathematical technology. Each chapter also has a feature on matrix algebra.)

bjupress.com 13

Scope & SequenceGrades 11–12

Precalculus

Grades 11–12Consumer Math

2nd Edition

Trigonometry: reference angles; •Law of Sines; Law of CosinesPolynomials: linear, quadratic, •and polynomial functions; factor-ing higher degree polynomials; zeros; graphingFunctions: power; exponential; •piece; periodic; trigonometric; reciprocal; rationalInverse functions: increasing and •decreasing functions; checking and finding inverses; radical functions; inverse trigonometric functions; logarithms

Equations: polynomial; rational; •radical; logarithmic; exponential functions; identities; trigonomet-ric equationsConic sections and polar graphs: •circles; ellipses; parabolas; hyper-bolas; variation; polar coordi-nates; polar equationsComplex numbers: graphs; polar •form; powers and roots; vectors; dot products; applicationsMatrix algebra: Gaussian elimina-•tion; determinants; Cramer’s rule; inverses

Statistics: central tendency; vari-•ability; bell curve; linear correla-tion; hypothesis testingSequences: recursive and explicit •formulas; arithmetic and geo-metric sequences; mathematical induction; summationLimits and calculus: limits of •sequences; series; limits of functions; continuous functions; asymptotes; limit theorems Differential calculus: defini-•tion; graphs, properties; chain rule; quotient rule; motion applications

Math skills: fractions, decimals, •integers; problem solving using proportions and percent; solv-ing linear equations; negative exponents to prepare for finance formulasMeasurement: Customary and SI •(metric) units; conversion within and between systems using dimensional analysis; perimeter, circumference, area, volume, and capacityIncome: calculating hours •worked from clock times, gross pay including overtime; payroll deductions including FICA and federal withholding; buying and selling stocks and bonds includ-ing brokerage fees Budgeting: a standardized bud-•get; an annual budget; reducing annual budget to monthly or weekly; emergency adjustments; revising the annual budget Banking: checking accounts and •deposits; overdraft penalties and protection; service charges; reconciling a bank statement; simple interest; compounding interest; interest on savings using the minimum balance or daily interest methods; effective inter-est rate; savings programs with regular deposits

Borrowing: simple interest •loans; add-on loans and annual percentage rate; discount loans; amortized loans; how credit cards work; how interest is calculated and payments are applied to credit accountsTransportation: calculating the •finance charge and monthly payment for a new car; depre-ciation; leasing costs including residual value, mileage penalty; car insurance; cost of gas, oil, and tires; scheduled maintenance and repair costs Food: store specials and coupons; •unit prices; calculating freezer payback periods; consumer price index; calorie counting; finding the calories expended in activities Clothing: planning for seasonal •buying; calculating discounts in-cluding multiple ones; filling out catalog orders; internet buying tips; savings from making cloth-ing; retail marketing of clothing, returns, net profit and gross profit margin; markup rate and breakeven point for retailer Housing: renting; buying a house •including down payments, clos-ing costs, points, and monthly payments; owner’s equity;

building a house including converting dimensions to scale for a set of plans; finding the area of rectangular lots in acres; cal-culating the amount of shingles needed from a house plan, allow-ing for pitched roofs Maintaining a home: real estate •tax based on millage rates; home-owner’s insurance; calculating utility charges for electricity, gas, water, and sewer; residential and cell phone usage; calculating house repairs, maintenance, and home improvements Life and health insurance: mortal-•ity tables; term, whole-life and universal life insurance; health insurance including payout of benefits; social security retire-ment benefits Income taxes: general principles •of calculating federal income taxes; 1040EZ, 1040A, and 1040 including extra schedules A and B and Form 2441 for child care benefits Vacations: costs of food and •lodging; cost of transportation; getting around at the site; travel times across time zones; econo-mizing admissions

14 800.845.5731

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