MATHEMATICS

122 downloads 521734 Views 7MB Size Report
tion, meeting book, and a set of 2 workbooks. Manipulatives are a ..... Saxon Math 3 and covers the same topics – ... ly – Written Practice Workbook, Adaptations.
MATH CURRICULUM COMPARISON CHART Grades

MATH Programs Saxon 3-12 * Bob Jones Horizons (Alpha Omega) * LIFEPAC (Alpha Omega) * Switched-On Schoolhouse/Monarch (Alpha Omega) Primary Math (US) (Singapore) * Primary Math Standards Edition (SE) (Singapore) * Primary Math Common Core (CC) (Singapore)

K

1

2

4

5

6

7

8

9

• • • • • • • • • • • • • • • • • • • • • • • • • • • • • •

• • • • • • • •

• • • • • • • •

• • • • • • •

• • • • •

• • • • •

• • • • • • • •

• • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •

• • • • • •

• • • • • •

• • • • • •

• • • • • • • • • • • • • •

• • • • • • •

• • • • • • •

Dimensions (Singapore) Math in Focus (Singapore Approach) * Life of Fred A+ Tutorsoft Math Starline Press Math ShillerMath enVision Math McRuffy Math Purposeful Design Math (2nd Ed.) Go Math Making Math Meaningful RightStart Mathematics * Right-Brained Math MCP Mathematics Conventional (Spunky Donkey) / Study Time Math Liberty Mathematics Miquon Math Math Mammoth (Light Blue series) * Ray's Arithmetic Ray's for Today Rod & Staff Mathematics Jump Math Beast Academy (from Art of Problem Solving) Strayer-Upton Practical Arithmetic Prentice Hall Math Art of Problem Solving * Paradigm Accelerated Principles of Mathematics A Fresh Approach Jacobs Math Foerster Math VideoText Math Lessons for a Living Education Mathematical Reasoning Developmental Math Kumon Math Math Power Basics

436

Mathematics

Religious Content

3

PK

Saxon K-3 *

• • • • • • • • •

• • • •

• • • •

• • • •

©2017

10 11 12

• • • • • • • •

Christian

• • • •



• • • • •



• •



• • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •

• •

• • • • •







N/Secular

Price Range $

• • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • •



$$

• • • • • • • •

• • • •

• • • • • • • • • • •

• • •

• • •

• • • • • • • •

• • • • •

$$$

• •

This chart was assembled by Rainbow Resource Curriculum Consultants and is intended to be a comparative tool based on our own understanding of these programs and is not necessarily reflective of publishers' opinions. Some designations are "best fit," not absolute.

Placement tests are available on our website for programs marked with an ('*'). Find them at: http://www.rainbowresource.com/searchspring.php?q=math+placement+tests Approach Spiral

• • • •



Sequential

Manipulatives

Conceptual/Topical



• • • • • • • • • • • •

• • • • • • • • • • • • • • •

• • •



RRC kit













• •

• • • •

• •



• •



• • • • • • • •

• •

Med

• • • •

High

CCSS

Notes

Aligned









• • • • • •

Low



• • •



• • •

Opt







Req

Teacher Involvement

©2017

Scripted teacher manuals Teaching tutorials available separately

• •



Paper manipulatives included & used in K-2.

SOS is computer-based. Monarch is online only.

• • • • •

Pre-CCSS CA aligned.

• • •

No tests

Brief Christian references in elementary level Computer-based Pre-CCSS, CA standards aligned.

• •

• •

• • • • •

Manipulatives. Discovery, Montessori approach.

Mastery Sequential



Virtual manipulatives

• Visual; no Teacher guide. Skill-based levels. Modified Sequential

Consumable workbooks



Mastery & skill-based. Uses Cuisenaire rods. B & W or color versions available.

• • •

Up to level 8 in the works.



• •



Mastery-based

No Teacher Guide

Recommended for gifted students.

Teaching tutorials available separately Teaching tutorials available separately DVD-based



Charlotte Mason approach

Skill-based levels. No Teacher guide; all books at ea. level are required Written at 4th grade level / for struggling students

This chart was assembled by Rainbow Resource Curriculum Consultants and is intended to be a comparative tool based on our own understanding of these programs and is not necessarily reflective of publishers' opinions. Some designations are "best fit," not absolute.

Mathematics

437

MATHEMATICS

COMPREHENSIVE PROGRAMS - ALL GRADES Student Workbooks are used in grades 1-3 only and contain student materials, flash cards and practice pages. The Math K Home Study Kit SAXON MATH The most popular homeschooling math pro- contains teacher edition and meeting book. gram hands down! Highly recommended by Math 1, 2, and 3 kits contain teacher ediboth Mary Pride and Cathy Duffy, Saxon Math tion, meeting book, and a set of 2 workbooks. also wins our award for the “Most Requested Manipulatives are a vital, integral part of the Text.” Saxon math is a “user-friendly” math program; these are not included in the Home program - even for Algebra, Trigonometry, Study Kits, but are available through us also. Calculus and other generally difficult math topics. Learning is incremental and each new concept is continuously reviewed, so the learning Math K Counting, number recognition, and sequenchas time to “sink in” instead of being forgotten when the next topic is presented. Higher scores ing; addition and subtraction stories; sorting; on standardized tests and increased enrollments patterning, identifying shapes and geometric in upper-level math and science classes have designs; telling time to the hour; using a calresulted where Saxon has been used in public endar. There are no workbooks. 112 lessons. schools. Students like Saxon because they feel 018398 Home Study Kit . . . 83.70 62.75 successful in math instead of overwhelmed. 018725 Meeting Book . . . . 17.95 13.45 Because of the format, children are able to work 007918 Teacher Edition . . . 78.45 67.95 more independently. Math 1 Skip counting; ordinal positions; sorting SAXON K-3 PROGRAM The Teacher’s Manual contains the actual les- rules and patterns; solving problems; mastering son plans and information vital to the effective basic addition and most basic subtraction facts; presentation of math concepts. The consumable adding 2-digit numbers without regrouping; Meeting Books are used during the teacher- measuring; comparing volume, mass and area; student “meeting” in which concepts are intro- counting money; telling time to half-hour; idenduced, demonstrated and practiced. If teaching tifying polygons; graphing. 130 lessons. more than one student at the same level, you 018399 Home Study Kit . . . 127.20 88.95 will only need one meeting book. Consumable 001523 Workbooks . . . . . . 48.33 36.25

018726 Meeting Book . . . . 17.95 021349 Teacher Edition . . . 78.45

13.45 67.95

Math 2 Skip counting; comparing numbers; solving problems; mastering all basic addition and subtraction facts; mastering multiplication to 5; adding and subtracting 2-digit numbers; measuring; perimeter and area; telling time to 5 minutes; identifying geometric shapes; identifying symmetry; identifying angles; graphing. 132 lessons. 018400 Home Study Kit . . 127.20 88.95 001526 Workbooks . . . . . . 48.33 36.25 018727 Meeting Book . . . . 17.95 13.45 021134 Teacher Edition . . . 78.45 67.95 Math 3 Using math in real life; identifying place value; completing patterns; mastering multiplication and division facts; adding/subtracting multi-digit numbers; multiplying a multi-digit number by a single digit; dividing by a 1-digit divisor; adding positive and negative numbers; fractions; adding/subtracting fractions with common denominators; telling time to the minute; change for a dollar; graphing. 140 lessons. 018401 Home Study Kit . . . 131.10 98.25 001527 Workbooks . . . . . . 48.33 36.25 018728 Meeting Book . . . . 17.95 13.45 021055 Teacher Edition . . . 81.15 68.50

SAXON K-3 MANIPULATIVE KITS Since manipulatives are vital to the program’s success and are NOT INCLUDED in the home study kits, we offer manipulative kits for each grade level, a complete K-3 kit, and individual items. The chart below shows both required (X) and optional (O) materials used in each grade level.

Required Manipulatives



Balance

1

X

X

X

Folding Meter/Yard Stick



Learning Clock (Teacher’s)

1

O

O

O

Multilink / Mathlink Cubes

2

X X X X

Student Clock 2-Color Plastic Counters

1-inch Teddy Bear Counters



Dominoes



Geoboard w/ Rubber Bands Geometric Shapes Hundred Number Chart

Qty K 1 2 3

10 48

O

X

X

1 set X 2

X

X

1 set 1

X

Required Manipulatives

Number Line Pattern Blocks (Plastic) Plastic Ruler (inch/cm) Tangrams

X

Outdoor Thermometer

O

1-inch Color Tiles (4 colors)

X

X

Qty K 1 2 3 1 100

X

O

O

O

X

1 X 100

X

2

X

X

X

X

X

X

1 set X X 1

X

X

100

X

X

X = Required, O = Optional

Optional Items: Note that “O” items in the chart are “optional.” They are used in the program, but you might be able to substitute other materials for them. In the case of the teaching clock, they felt that you could get by with just the smaller student clocks. We would strongly suggest, however, the use of a teacher clock with geared hands when teaching time. From our personal experience, it is a great aid when demonstrating how the hour passes as the minute hand sweeps around the clock. Kit Contents: Our grade level manipulative kits contain all the materials specified for that grade in the chart above. Our COMPLETE KITS contain all of the materials required for grades K-3. Why buy from us? Although we are not the “official” supplier of manipulatives for the Saxon program, Saxon has reviewed our offerings and has sent many home schoolers our way. We are offering our own kits for several reasons. First, the other kit did not include everything specified by Saxon. Second, we wanted to upgrade the quality of one of the components. And, third, we felt that the homeschool market needed more flexibility! Since these kits are a fairly major expenditure for home schoolers, we assume you’ll want to know the differences between ours and theirs: ¾¾ The simple balance they include is a “teeter-totter” type whereas ours is a bucket balance. Pan or bucket balances cost more than simple balances, but we were very dissatisfied with the performance of the simple balance. Just as with a teeter-totter, if two equally-weighted objects are on each end, they will only balance if both are seated an equal distance from the fulcrum. This does not happen with a bucket/pan balance. ¾¾ We do include number lines... they do not.  We do not include a “tote box.” ¾¾ We do include the wall thermometer... they do not.  Our price is lower. ¾¾ We include the one set of tangrams required by the program. They include four sets. Mathematics See page vi for key to Consumer Product Safety Improvement Act warning labels. 438

Options: Now, about our flexibility! Because you may be starting Saxon Math with a child who is not in kindergarten, or might want to see how you like the program before committing for all four levels, we offer kits by grade level that contain only the manipulatives needed for that grade. For your convenience, we also offer kits both with and without the optional items on Saxon’s chart. Additionally, you may substitute either a larger (250-pc), thicker (1 cm) set of solid plastic or wooden pattern blocks for the standard 100-pc set of 0.5 cm.-thick plastic pattern blocks. Simply use the item number and price from the table below. CHOKING HAZARD (1). Not 1 instead of the guess and check approach employed in other books). It incorporates critical thinking and a discovery approach to math by its very nature. It integrates the value of learning in other curricular areas. It teaches math in the context of real life – okay, real life uses for math in a kind of surreal life. And, who wouldn’t like a math book that begins, “Hi! This is going to be fun,” then follows through on that promise? Visit www.stanleyschmidt.com for other Raves from Readers or to find out more about the content of the books – or even to contact the author directly. (You can even read some of Mr. Schmidt’s 8:30 prayers). I’m not sure how Dr. Schmidt can include his home phone number on his website and encourage people to email and phone him with questions, but I have read several testimonies to his responsiveness. For a full scope and sequence, visit our website and take a peek at the table of contents for each level. As a teacher, I have obviously enjoyed this course. But my daughter, Janine, has never had the innate appreciation for math that I do. Let’s ask her what she thought (or thinks – we still have 14 lessons to go!). Here are her comments on Life of Fred Beginning Algebra as serious as it needs to be: “I love Life of Fred because of, well, Fred! But also because this is the most creative math course I’ve ever seen. When I first looked at the math course, the thing that made me excited (besides the story) was not seeing millions of problems. Just a few, thought-provoking and even funny ones. In the lesson book, you’ll only have one small page, then you can be done. The Cities don’t even have that many problems. But they are all worth your time and un-repetitive, and most inspire a challenge or are a little puzzle. Mom didn’t think it would be a full-fledged math course. But the more we’ve worked through it, I’ve seen that it’s quite a bit harder and requires more thinking. No wonder it’s been put on some “gifted” lists. Moving along…..the writing is HILARIOUS! It’s almost like Stanley Schmidt and I have the same sense of humor sometimes. I’ve

See page vi for key to Consumer Product Safety Improvement Act warning labels.

read Fractions and most of Begininng Algebra and enjoyed both immensely. It’s a ridiculous, bizarre little series, which makes me love it all the more! My brother likes it so much he showed it to his college friends….and of course they all laughed. The characters are amazing, and the illustrations (especially of Fred) are priceless. Stanley even has a little fun subtly (and not so subtly) teasing movies, doctors, math books and a whole myriad of things, and he has never failed at amusing me. Math was my most hated subject. And while I can’t say that I had a complete turnaround and wake up every morning saying “YAY! I get to do math today! Wheeeeee!” I can say that Life of Fred has taken all the dullness out, keeps me captivated, and injected a lot of fun. I’d call it an art piece, if a math book can be an art piece. An amazing, amazing series, even more so considering we’re talking about a math course.” Well, there you have it – from teacher and student. Who says math can’t be entertaining? 042828 Fractions . . . . . . . . . . 19.00 043266 ☼Zillions of Practice Problems Fractions . . . . . . . . . 19.00 042827 Decimals & Percents . . 19.00 043258 ☼Zillions of Practice Problems Decimals and Percents 19.00 054567 Pre-Algebra 0 w/Physics 29.00 043270 ☼Zillions of Practice Problems Pre-Algebra 0 w/Physics 19.00 046445 Pre-Algebra 1 w/ Biology 29.00 048459 Pre-Algebra 2 w/ Economics 29.00 LOFPAS Pre-Algebra Set . . . 125.00 119.95 Includes all five books above 046232 Beginning Algebra Exp. Ed 39.00 050547 Zillions of Practice Problems for Beginning Algebra . 29.00 013147 Advanced Algebra Exp. Ed 39.00 046233 Zillions of Practice Problems Advanced Algebra . . . 29.00 LOFHS1 High School Set 1 . 136.00 129.95 Includes Advanced Algebra, Beginning Algebra and both Zillions of... books 001195 Geometry Exp Edition 39.00 016139 Trigonometry Exp. Ed . 39.00 LOFHS2 High School Set 2 . . 78.00 74.50 Includes Geometry and Trig Expanded LOFCPS College Prep Set . . . 339.00 318.00 Includes 11 books above 001125 Calculus Exp Ed. . . . . . 49.00 053600 Statistics Exp Ed. . . . . 49.00 001198 Linear Algebra Exp Ed 52.00 018033 5 Days of Upper Div. Math 19.00 066246 Real Analysis . . . . . . . 39.00 LOFCLG College Set . . . . . . . 208.00 199.00 Includes the 5 books above LOFTXT Set of all Texts . . . . 421.00 394.50 Includes all texts above LOFCMP Set of all Texts, Companions, Keys & Practice Probs . . 504.00 470.95

Mathematics

463

Five Days of Upper Division Math: Set Theory, Modern Algebra, Abstract Arithmetic, Topology (AD) For the dedicated math student who wants to push the envelope, here you go. Join Fred at Kittens University for the summer session – at least for the first five days – in which he lectures (from 4am-8am) on, respectively, Set Theory, Modern Algebra, Abstract Arithmetic, and Topology. Prerequisites for this course include more than a passing knowledge of algebra as well as a course in Geometry that taught and required proofs. Prior algebra instruction should have included: ¾¾ Union of sets ¾¾ Math induction ¾¾ Associative property ¾¾ One-to-one functions ¾¾ Inverse functions ¾¾ Multiplying matrices As you can see, this includes most high school seniors. However, final prerequisites I would add are an appreciation for math, an ability to think outside the book, ability for creative thought, and a willingness to take a peek at “real” math. I got this opportunity when I took some upper-level university math courses. There is truly a “magic” and beauty to math (which Prof. Schmidt alludes to in the introduction to this book) that most people never get to experience. If your student would like to experience the same, I heartily recommend this summer session with Fred. Unlike other LOF books, there is no real storyline outside of Fred’s lectures. There are fun puzzles (which look suspiciously like proofs, for the most part) to solve - 139 of them that require thought, creativity, and, for some, dedication. Some are easily solved, others are going to take some time. Solutions to all exercises are in the back of the book. If your student loves math or just wants to get a glimpse of higher level math, this course is a great introduction to math beyond calculus. 018033 . . . . . . . . . . . . . . . . . 19.00 ☼Life of Fred: Real Analysis (AD) Another serious math program for serious math students presented in the un-serious Life of Fred way by Dr. Stanley Schmidt. This program is college level, to be used only after algebra, geometry, and calculus courses are mastered. Real Analysis takes real numbers that were studied in algebra, and functions and limits that were studied in calculus, and asks the student to analyze them using the process of proofs that were studied in geometry. Dr. Schmidt calls these proofs “puzzles”, and the idea is not to solve problems but to understand concepts. Some will be short and straightforward, while others will take some time to work through. Answers to all 113 puzzles are included in the back of the book; however, the idea is not to rush through the book, but take enough time to see the real beauty of higher level math. All the important concepts that start with mathematician names are covered: Cauchy sequences, the Bolzano-Weierstrass theorem, Fibonacci sequences, Schwarzschild radii, etc, but in a context that the student will enjoy and remember. Enjoy, because the text is so entertaining, and remember, because Dr. Schmidt explains complex concepts in such a clear way. So if 464

Mathematics

you have a serious math student that can’t get enough math, put this one on his desk. 066246 . . . . . . . . . . . . . . . . . 39.00 ~~~~~~~ A+ TUTORSOFT MATH A+ Interactive Math Software (1-8) Whether you prefer for your students to learn math via the internet, on the computer using local software, or with traditional text and workbook, and whether you need a full year program or just supplemental work on a single topic, A+ Math software has an option for you. The approach is basically a sequential-mastery method, rather than spiral or incremental, with concepts presented, practiced, and expanded fully in each chapter. The author believes that having the material presented both audibly and visually helps in understanding and retention. Lessons are very straightforward with no frills or distracting unnecessary graphics, only those needed to explain or demonstrate concepts. 1st and 2nd grade were added after the higher level courses and do incorporate more color and fun illustrations. A cute little frog mascot appears on some of the screens to aid in answering the questions and gives a croak of approval when the answer is correct. Worksheets for these levels are a bit more colorful as well. I think this would definitely appeal to any child who likes to work at the computer – A+ Math Software makes math learning seem like a game. In the program options are presented across the top of the screen. You can watch and listen to the multimedia lessons, view the suggested lesson plans, print out or just view the curriculum book (same content as that of the multimedia lessons), print out worksheets, tests, (and answer keys for both) and reference sheets. You can set the program so that the parent has access to the answers but not the students. The tests and worksheets are done in a multiple choice format, black and white, with a minimal number of appropriate graphics (coins, clocks, etc.). I feel like this course might work well for students who are distracted by a lot on a page; white space is in the students’ favor with this program. An interactive Q & A button is found at the bottom of the page that allows the student to practice the concept and get immediate feedback on the accuracy of their answer. The software includes everything you need to do the course, including all necessary PDF files. The printed workbook is a convenience product that is helpful if you don’t want to print the pages yourself. We are stocking both the Premium and Standard editions of the software. The Premium edition includes additional features such as the ability to lock solutions manuals, an electronic grade book with progress tracking, and printable certificates of completion. I have never looked at Teaching Textbooks at the younger grades, but did have an opportunity to look at the algebra. The A+ program has the same type of slide-like presentation for the lessons and you can purchase the book in print to follow along with the lessons as they are presented. The content is comprehensive, and the pacing is steady and methodical. System requirements: Windows 2000/XP/Vista/ Windows 7/8 and 250 MB disk space available on the hard drive. NOT Mac-compatible. The

CD-based version doesn’t need the internet to run, but you do need internet access to register and activate your software. If you are unsure about where to begin in the program, you can visit www.aplustutorsoft.com for a free limited placement test. We are offering the curriculum in a variety of packages, with or without printed texts and workbooks to give you options. Print texts and workbooks are also available individually. Family Math Packages (see our website) provide access to an online version of the A+ Interactive Math curriculum for one year from activation. Upon purchase, you will receive activation information and you can activate your account at any time. If you have children in multiple grades and online math instruction is convenient for you, this may be your best option. The more children signed up under this option, the cheaper per child the package becomes. Access is per child so if you purchase the package for 3 students, you will have access to all available grades of the curriculum for three students for one year. If one grade level is completed, you may begin a new grade level. Parent tracking is for one grade level at a time, but you can drop back a grade level for reinforcement at any time, then return to the target grade level (progress outside of the target grade level is not tracked, however).Online version is Windows & Mac-compatible with a high-speed internet connection. EACH PREMIUM CD + PRINT WORKBOOK . . . . . 144.99 114.95 EACH PREMIUM CD ONLY .124.99 99.95 EACH STANDARD CD ONLY 99.99 79.95 EACH PRINT TEXT/WKBK SET 54.99 44.50 EACH PRINT WORKBOOK . . 29.99 24.25 P R EM I U M STANDARD w/ Wkbk CD only CD only Gr. 1 057677 055496 055497 Gr. 2 057681 055499 055500 Gr. 3 057685 053939 053940 Gr. 4 057689 053942 053943 Gr. 5 057693 053945 053946 Gr. 6 057697 053948 053949 Pre-Alg 057701 053954 053955 Alg 1 057705 053951 053952 Printed/ Printed Text/Wkbk Set Wkbk Gr. 1 057675 055498 Gr. 2 057679 055501 Gr. 3 057683 053941 Gr. 4 057687 053944 Gr. 5 057691 053947 Gr. 6 057695 053950 Pre-Alg 057699 053956 Alg 1 057703 053953

See page vi for key to Consumer Product Safety Improvement Act warning labels.

mixed numbers. Study of geometric formuFamily Math Package – 1 Month Free Trial las, data analysis and mathematical reasonNot very many companies offer this option, but ing is included. Students will work with A+ Tutorsoft is so confident that you will like percent, ratios, and proportions. Probability their math products that they offer this opportuand statistics is studied using data analysis nity to try it. When ordering this free online trial and estimation. Geometry, symmetry and from us, you will receive a sheet of instructions spatial relationships are taught. that will take you step-by-step through the registration process. Remember that we offer free 051464 GRADE 7 . . . . . . . . 204.40 184.95 PRE-ALGEBRA: Seventh grade students study shipping on orders of $50 or more, so this produnits of measure including time, customary uct can be added to your order without charge. and metric, and converting between customIf ordering it by itself, there is a shipping charge. ary and metric. They study graphs and diaEACH BELOW . . . . . . . . . . . . . FREE grams with focus on bar and line graphs and 007770 1 Student 012481 4 Students Venn diagrams. Also included are: rounding 012379 2 Students 012483 5 Students and estimation, order of operations, absolute 012471 3 Students value, prime numbers, comparing decimals, ~~~~~~~~ fractions and percent. Story problems are studied as well as the consumer math topStarline Press Math (3-10) ics sales tax, discount and depreciation, Starline Press Math is a character-based, indiand mark up and appreciation. Students vidualized and independent learning curricualso study multiplication, power, and divilum. Aligned to pre-Common Core California sion properties of exponents and percent, state standards (please see publisher website for probability and permutations. Seventh grade CA state standards correlation), each grade level math includes the study of perimeter, area provides self- directed instruction with miniand volume of polygons, rectangles, squares, mal teacher supervision. Grades 3-8 complete triangles, trapezoids, circles and cylinders. twelve units (booklets) per year, with a sugStudents also study basic geometry, basic gested 3 week completion timeframe. Grades statistics and pre-algebra. 9-10 complete 5 booklets per semester /10 per year. Each grade level includes vocabulary, fill 051441 GRADE 8 . . . . . . . . 204.40 184.95 ALGEBRA I: Eighth grade students continue in the blank questions, practice problems, chapthe study of algebraic concepts. They study ter reviews, and unit tests Consumable booklets the properties and operations of real numare softcover. Available only in complete sets bers, adding positive and negative numbers, which include answer and test keys. ~ Deanne and adding decimals and percent. Students 051459 GRADE 3 . . . . . . . . 204.40 184.95 study mathematical operations of fractions, Review of addition, subtraction and shapes. linear equations, exponents, absolute value Place value. Rounding and expanded notaand scientific notation. They solve addition. Multiplication facts include single and tion, subtraction, multiplication and divimulti-digits. Division by 2, 3, 4, and 5. sion equations as well as solving two step Students also study decimals, fractions, unit equations and equations involving parenconversions and volume, weight and area, thesis. Students learn to solve equations and geometric shapes, solid objects, data collecrate problems with variables on both sides. tion and outcome prediction. Inequalities, compound inequalities, and 051460 GRADE 4 . . . . . . . . 204.40 184.95 inequalities with absolute values are learned. Review of Grade 3. Adding and subtracting Students will also study the Cartesian coorwith a number line, decimals to the hundinate system, verifying solutions, slope, dredths place, multiply multi-digit numbers, graphing lines, and writing equations of manipulate time and measurement equalines in slope intercept form and transformtions, and work with fractions and division. ing to standard form. Exponents, square The student completes problems using word roots, polynomials and quadratic equations problems, liquid and dry measures and masare taught. Students will learn simplifying tering metrics. They also learn geometry, rational expressions and solving rational working with rations and probability and equations as well as adding, subtracting, how to coordinate and construct graphs. multiplying and dividing radicals. Note: this 051461 GRADE 5 . . . . . . . . 204.40 184.95 course may be used to meet requirements for Students engage in standard’s based activiHigh School Algebra. ties, including place value, decimals, expo051457 GRADE 9 . . . . . . . . 174.50 164.95 nents and prime factors. Student increase GEOMETRY: Covers Geometry basics: their facility with the four math operations points and lines, line segments, rays, planes, (addition, subtraction, multiplication and and lines and points in planes. Students division) and apply them to fractions, decistudy definitions of angles, degrees, and mals, positive and negative numbers. They measuring the size of angles. They are learn to identify and add and subtract intetaught to classify angles by size and relation gers, use variable and tables, organize and and how to bisect an angle. Students study display data with graphs. Students study parallelograms, properties of a trapezoid, shapes, lines, points and angles, and learn ration and proportions, and the Pythagorean to solve perimeter, surface and volume of an Theorem. Ninth grade students know, area. Students will develop strong problem derive, and solve problems involving perimsolving skills, conceptual understanding and eter, circumference, area, volume, lateral procedural skills. area and surface area of common geometric 051462 GRADE 6 . . . . . . . . 204.40 184.95 features. Students know the definitions of Students will multiply and divide using basic trigonometric functions defined by the whole numbers and decimals. They solve angles of a right triangle. They also know equations and problems using fractions and See page vi for key to Consumer Product Safety Improvement Act warning labels.

and are able to use elementary relationships between functions. 051442 GRADE 10 . . . . . . . 204.40 184.95 ALGEBRA II: Students add, subtract, multiply and divide polynomials. They will also work with complex fractions, ratios, and proportions. The basics of quadratic equations, the square root method, and solving absolute value equations are also learned. Students learn about linear inequalities including their addition and multiplication properties. They also study logarithms and antilogarithms and how to work these problems on a calculator. Pascal’s Triangle and the Binomial Theorem are studied. Students make and interpret scatter plots, as well as parabola basics and graphing parabolas. Starline Press Consumer Math (9-12) Starline Press is a character-based, state standards aligned curriculum that is designed for independent study. This consumer math course is set up in 10 units, one year to complete, for one full high school credit. Topics covered in this series of workbooks are addition of whole numbers/decimals/percents, subtraction with whole numbers/negative numbers/decimals/ percents, handling a checking account, multiplication, division, fractions, percents, units of measure, angles/triangles/quadrilaterals, planes & solid shapes, circle concepts, using variables, geometry & formulas, data analysis, mean/median/mode/range, tables & graphs, equations, writing expressions, order of operations, reasoning, relevant/irrelevant & missing information. 055691 . . . . . . . . . . . . . . . 174.50 164.95 COMPREHENSIVE PROGRAMS - ELEMENTARY These programs offer all necessary teaching and student books for teaching grade-level math below Pre-Algebra.

SHILLERMATH PROGRAM (PK-7) Not just another math program; this one is different. ShillerMath is a Montessori-based, multisensory curriculum for grades PreK to 7th which meets all NCTM standards. “What is Montessori?” you may be asking yourself. It is a method of educating children that stresses development of a child’s own initiative and natural abilities, and the role of physical activity in absorbing abstract concepts and practical skills. But don’t panic, no Montessori or math knowledge is required to use this curriculum, and there is little to no preparation for the lessons. ShillerMath incorporates an incremental spiral approach (which guarantees plenty of practice) into their math program along with a 3-step presentation of concepts. The three steps are: “This is…” “Show me…” and “What is…” Parents use this process developed by Dr. Maria Montessori to ensure that the child understands each concept. The example given for this in the Parent Guide is for teaching two-digit numbers: ¾¾ Step 1: The parent says while pointing to the numbers, “This is 10, this is 11, this is 12.” ¾¾ Step 2: The parent leaves all three numbers out and says without pointing, “Show me 12; show me 11; show me 10.” ¾¾ Step 3: The parent points to one of the numbers and says, “What is this?” continued... Mathematics

465

The Lesson Books provide lessons which are colorful, easy to implement, and take an ageappropriate amount of time: 15 minutes for four year-olds, 20 minutes for 5 year-olds, 25 minutes for 6 year-olds, 30 minutes for 7 and 8 year-olds, and 30-45 minutes for children 9 to 12 years old. Each lesson begins by stating the objective, manipulatives needed, the learning style to which the lesson appeals, and whether the page is consumable. Instruction is scripted and diagrams, drawings, and illustrations are provided for clear teaching of concepts. There is no set time per lesson or for the number of lessons per day. Each child is different and the child should set the pace according to their learning ability and skills. A Quick Start Guide is printed in the front of the Lesson Book which gives options for use and tips to reduce frustration for the student and the parent. The Answer Guides include the pages from the Lesson Book with the answers printed in color. A ‘Completed Work Sheet’ chart provides space for tracking completed lessons, lessons to revisit, and minutes worked on each lesson. This is found in books 1-3. A ‘Review Test Scoresheet’ allows space at the back of the Answer Guide in Books 1-3 to track test scores and lessons to be revisited and is provided separately for books 4 and up. Additional sheets can be purchased for additional students or they are included with the consumable downloads available with each kit. Please see our website for individual lesson books and answer guides. A 15-page Parent Guide tells you how to get started with ShillerMath, how the program works, how to build confidence in your child, and much more. This booklet even offers an explanation of parent responsibilities within the parent-child relationship. The goal of this math program is for students to speak and write mathematics clearly, accurately and concisely, and to achieve a solid understanding of math concepts. It seems Mr. Shiller had the right idea as he thought about how children learn and the best way for them to understand math concepts. As children hear the lessons and songs, play with manipulatives, and see the concepts applied, they can truly learn math in a way which would make Dr. Montessori smile.

A.

ShillerMath Kit I (PK-3) Kit I is intended for ages 4-8, and is a complete math program for 5 years of instruction. Remember, the child sets the pace, so it can take more or less than 5 years to complete the contents of this kit. The kit includes Lesson Books 1-3, Answer Guides 1-3, Parent Guide, Volume I CD, 4” yellow foam ball, nylon bag with string tie, geared clock, assorted plastic 466

Mathematics

U.S. coins, 8 crayon set, 2 standard dice, 1- and 2-cup measurers, safety mirror for symmetry work, 22”x34” cloth work mat, 3-ring binder, 0-9 set of wooden dominoes, #2 pencil, 12” clear plastic ruler, pan balance for weight comparison, set of 16 thousand cubes, set of plastic operation signs, complete number card set w/ wooden tray, base ten set, materials bank wooden tray, 8 each of 7 shape tiles, number tile set, and free downloads of consumables for 5 years. Downloads are the consumable pages for each lesson, ‘Completed Worksheet’ pages, and ‘Review Test’ scoresheets. CHOKING HAZARD (1). Not 10. Teach informal solutions and mental computation before written algorithmic work. 10. Teach four-digit addition and subtraction on the abacus; let the children discover the paper and pencil algorithms. 11. Short division precedes long division, which is taught in fourth grade." In Level G, students continue to practice arithmetic, fractions and decimals, while they begin to also explore triangles, area, volume, ratios, Pythagorean Theorem, tiling, and other new concepts. All levels require a lesson manual and worksheets, which are included in the starter kits.

(The worksheets are also available separately Casio calculator, fraction charts, place for multiple students.) Lesson manuals contain value cards, folding meter stick, Standard detailed lesson plans with helpful diagrams AL Abacus. and teaching notes. Both lesson manuals and 049103 Level G Geometric Approach worksheets are spiral-bound. Add on kits allow (5-7) . . . . . . . . . . . . . 168.00 you to move forward, buying only what you This kit includes the Level G/Geometric need in addition to what you already have for Approach lessons, worksheets, solutions, the next levels. Deluxe Starter kits (and deluxe RightStart™ Geometry Panels (32 triangles, add-on kits) are now available, which include 25 squares, 12 pentagons, 20 hexagons), everything in the original kits, plus additional Casio Calculator FX-300MS, and the conrecommended books and manipulatives. Please tents of the Geometry set – drawing board, note that if you start with a deluxe kit, you will 2 triangles, MM Arc Compass, 2 sets of need a different upgrade kit to transition to the tangrams, removable tape, T-square, 4 in 1 next level. See individual descriptions for more ruler, centimeter cubes, and Goniometer. details on kit-specific contents.~ Anh While continuing to practice arithmetic, EACH WORKSHEETS (exc noted) 21.00 fractions, and decimals, students explore 002238 Level A Worksheets . . 10.50 triangles, area, volume, ratios, Pythagorean 024831 Level B Worksheets . . 15.75 Theorem, tiling, and other new concepts. 024833 Level C Worksheets STRDGA Similar to RightStart Deluxe Kit 024835 Level D Worksheets Geometric Approach . 277.95 257.00 024837 Level E Worksheets This kit includes the contents of #49103 plus 051501 Geometric Approach the VideoText Interactive Algebra Module Worksheets . . . . . . . . 36.75 A. What makes this set different than the set sold by Activities for Learning is that they Starter Kits: include instructions on how to incorporate CHOKING HAZARD (1). Not