Math Archives - Classical Education Books

Geometry – Textbook (Third Edition)

sarah — Tue, 27 Sep 2022 19:48:46 +0000

Geometry Designed for Understanding

Jacobs’ Geometry utilizes a clear, conversational, engaging approach to teach your student the concepts, principles, and application of Geometry through practical, real-life application! Harold Jacobs guides your student through Geometry, enabling them to discover the concepts & their applications for themselves in order to develop an understanding of the principles that goes beyond simple memorization to pass a test.

Jacobs’ unique instructional approach to math means your student:

Develops a true understanding of geometric principles
Interacts with concepts using real-world examples, ensuring they’ll know exactly how to apply the material they are learning to real-life and other academic subjects
Is prepared to take their understanding of Geometry concepts outside the math textbook and successfully apply them to higher math courses, sciences, & everyday life
Is equipped with an understanding of the foundational mathematical concepts of Geometry—and once a student truly understands the concepts in Geometry, they are equipped & prepared for all higher math & sciences!

Engaging, Real-World Instruction

Understanding both the why and how of Geometry is foundational to your student’s success in high school and college. Jacobs’ Geometry provides students with a clear and thorough understanding of why concepts work, as well as how they are applied to solve real-world problems.

A Top Choice for High School Success & College Prep

Jacobs’ Geometry has proven its ability to guide students towards success and is still the choice of top teachers and schools. The unique instructional method within Jacobs’ Geometry ensures your student understands both the why and how of Geometry and establishes a strong foundation for higher math & science courses. If your student is planning for college or a STEM career, Jacobs’ Geometry ensures they are equipped with the tools they need to succeed!

Geometry Student Text Includes:

Full Color Illustrations
16 sections, covering deductive reasoning, lines & angles, congruence, inequalities, quadrilaterals, area, triangles, circles, theorems, polygons, geometric solids, and more!
Answers to select exercises in the back of the text
Flexible based on focus & intensity of course
- Set I exercises review ideas & concepts from previous lessons to provide ongoing application of material.
- Set II exercises allow student to apply material from the new lesson
- Set III exercises provided additional, more challenging problems

Forewords
A Letter to the Student
Acknowledgments
Introduction: Euclid, the Surfer, and the Spotter
Inductive Reasoning
1. An Introduction to Geometry
2. The Nature of Deductive Reasoning
3. Lines and Angles
4. Congruence
5. Inequalities
6. Parallel Lines
7. Quadrilaterals
8. Transformations
Midterm Review
9. Area
10. Similarity
11. The Right Triangle
12. Circles
13. The Concurrence Theorems
14. Regular Polygons and the Circle
15. Non-Euclidean Geometries
16. Inequalities
Final Review
Glossary
Formulary
Postulates and Theorems
Answers to Selected Exercises
Illustration Credits
Index

Now Geometry is even easier with video instruction. Learn more and watch the first chapter for free below

Other Titles in This Series:

Geometry – Solutions Manual
Geometry – Teacher Guide
Geometry – DVD Instruction
Geometry Set

Related Resources:

Elementary Algebra – Solutions Manual
Elementary Algebra – Teacher Guide
Elementary Algebra – DVD Instruction

The post Geometry – Textbook (Third Edition) appeared first on Classical Education Books.

Memoria Math Challenge Bundle

sarah — Thu, 22 Sep 2022 21:49:57 +0000

Our goal for math in the primary grades is the mastery of basic facts. One of the most effective ways to help students achieve mastery is simply to practice.

With daily timed drills, Memoria Math Challenge is designed to give students that math practice and also to help the teacher measure students’ immediate recall. We start with addition, subtraction, and number dictation in kindergarten, and ramp up to 200 daily problems by the end of first grade.

If students are able to master their math facts in the primary years, they can devote more time to complex math operations in grammar school and upper school.

Level A focuses on writing numbers, counting, and addition and subtraction facts up to seven
Level B focuses on addition and subtraction facts up to 10
Level C focuses on addition and subtraction facts up to 18

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Memoria Math Challenge: Level B – Teacher Key (Second Edition)

sarah — Thu, 22 Sep 2022 21:41:04 +0000

Sample

Our goal for math in the primary grades is the mastery of basic facts. One of the most effective ways to help students achieve mastery is simply to practice.

If students are able to master their math facts in the primary years, they can devote more time to complex math operations in grammar school and upper school.

The post Memoria Math Challenge: Level B – Teacher Key (Second Edition) appeared first on Classical Education Books.

Memoria Math Challenge: Level B – Student Drills (Second Edition)

sarah — Thu, 22 Sep 2022 21:34:12 +0000

Sample

Our goal for math in the primary grades is the mastery of basic facts. One of the most effective ways to help students achieve mastery is simply to practice.

If students are able to master their math facts in the primary years, they can devote more time to complex math operations in grammar school and upper school.

The post Memoria Math Challenge: Level B – Student Drills (Second Edition) appeared first on Classical Education Books.

Dimensions Math Coloring Book Set

sarah — Wed, 07 Sep 2022 21:28:22 +0000

This fun new set includes three themed colouring books: Basics, ABCs, and Numbers. Basics features interesting objects in bold lines that are developmentally appropriate for young children. ABCs goes through the alphabet in both lower and upper case, showing objects that begin with the matching letters. Numbers features numerals and number words alongside many objects that go with each number.

The post Dimensions Math Coloring Book Set appeared first on Classical Education Books.

Singapore Dimensions Math: Level 4A – Home Instructor’s Printouts

sarah — Wed, 07 Sep 2022 21:20:06 +0000

These printouts are referenced throughout the Home Instructor’s Guide and used frequently in the program to demonstrate concepts and help hone skills. While they are available for free on our site, this ready-to-use resource means you can skip printing at home and keep printouts organized in one place. The set includes multiple copies of sheets where necessary.

Home Instructor’s Printouts that are removed from their plastic wrapping are final sale.

Please note, Home Instructor’s Guide printouts are different from Teacher’s Guide blackline masters.

Related Products:

Singapore Dimensions Math: Level 4A – Textbook
Singapore Dimensions Math: Level 4A – Workbook
Singapore Dimensions Math: Level 4A – Teacher’s Guide
Singapore Dimensions Math: Level 4A – Tests
Singapore Dimensions Math: Level 4A – Home Instructor’s Guide
Singapore Dimensions Math: Level 4A – Home Instructor’s Printouts

Singapore Dimensions Math: Level 4A Set

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

The post Singapore Dimensions Math: Level 4A – Home Instructor’s Printouts appeared first on Classical Education Books.

Singapore Dimensions Math: Level 4A – Home Instructor’s Guide

sarah — Wed, 07 Sep 2022 21:11:41 +0000

Sample

A & B Books:

This program divides the school year into two semesters. “A” level books are for the first half of the school year. “B” level books are for the second half of the school year. You need both “A” and “B” material for a complete school year.

Required Components:

Textbooks, Workbooks, and Guides (either Home Instructor’s Guides or Teacher’s Guides) are all necessary components. These three elements each serve a unique function and work together to build math mastery.

Related Products:

Singapore Dimensions Math: Level 4A Set

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

Table of Contents

Chapter 1: Numbers to One Million
Lesson 1: Numbers to 100,000
Lesson 2: Numbers to 1,000,000
Lesson 3: Number Patterns
Lesson 4: Comparing and Ordering Numbers
Lesson 5: Rounding 5-Digit Numbers
Lesson 6: Rounding 6-Digit Numbers
Lesson 7: Calculations and Place Value
Lesson 8: Practice

Chapter 2: Addition and Subtraction
Lesson 1: Addition
Lesson 2: Subtraction
Lesson 3: Other Ways to Add and Subtract — Part 1
Lesson 4: Other Ways to Add and Subtract — Part 2
Lesson 5: Word Problems
Lesson 6: Practice

Chapter 3: Multiples and Factors
Lesson 1: Multiples
Lesson 2: Common Multiples
Lesson 3: Factors
Lesson 4: Prime Numbers and Composite Numbers
Lesson 5: Common Factors
Lesson 6: Practice

Chapter 4: Multiplication
Lesson 1: Mental Math for Multiplication
Lesson 2: Multiplying by a 1-Digit Number — Part 1
Lesson 3: Multiplying by a 1-Digit Number — Part 2
Lesson 4: Practice A
Lesson 5: Multiplying by a Multiple of 10
Lesson 6: Multiplying by a 2-Digit Number — Part 1
Lesson 7: Multiplying by a 2-Digit Number — Part 2
Lesson 8: Practice B

Chapter 5: Division
Lesson 1: Mental Math for Division
Lesson 2: Estimation and Division
Lesson 3: Dividing 4-Digit Numbers
Lesson 4: Practice A
Lesson 5: Word Problems
Lesson 6: Challenging Word Problems
Lesson 7: Practice B
Review 1

Chapter 6: Fractions
Lesson 1: Equivalent Fractions
Lesson 2: Comparing and Ordering Fractions
Lesson 3: Improper Fractions and Mixed Numbers
Lesson 4: Practice A
Lesson 5: Expressing an Improper Fraction as a Mixed Number
Lesson 6: Expressing a Mixed Number as an Improper Fraction
Lesson 7: Fractions and Division
Lesson 8: Practice B

Chapter 7: Adding and Subtracting Fractions
Lesson 1: Adding and Subtracting Fractions — Part 1
Lesson 2: Adding and Subtracting Fractions — Part 2
Lesson 3: Adding a Mixed Number and a Fraction
Lesson 4: Adding Mixed Numbers
Lesson 5: Subtracting a Fraction from a Mixed Number
Lesson 6: Subtracting Mixed Numbers
Lesson 7: Practice

Chapter 8: Multiplying a Fraction and a Whole Number
Lesson 1: Multiplying a Unit Fraction by a Whole Number
Lesson 2: Multiplying a Fraction by a Whole Number — Part 1
Lesson 3: Multiplying a Fraction by a Whole Number — Part 2
Lesson 4: Fraction of a Set
Lesson 5: Multiplying a Whole Number by a Fraction — Part 1
Lesson 6: Multiplying a Whole Number by a Fraction — Part 2
Lesson 7: Word Problems — Part 1
Lesson 8: Word Problems — Part 2Lesson 9: Practice

Chapter 9: Line Graphs and Line PlotsLesson 1: Line Graphs
Lesson 2: Drawing Line Graphs
Lesson 3: Line Plots
Lesson 4: Practice
Review 2

The post Singapore Dimensions Math: Level 4A – Home Instructor’s Guide appeared first on Classical Education Books.

Dimensions Math Grade 3 Set with Home Instructor’s Guides

sarah — Tue, 19 Jul 2022 20:30:33 +0000

A & B Books: Our programs divide the school year into two semesters. “A” level books are for the first half of the school year. “B” level books are for the second half of the school year. You need both “A” and “B” material for a complete school year. This set includes everything you need.

Required Components: Textbooks, Workbooks, and Guides (either Home Instructor’s Guides or Teacher’s Guides) are all necessary components. These three elements each serve a unique function and work together to build math mastery. This set includes everything you need.

Answer Key: Included in the Guides

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

The post Dimensions Math Grade 3 Set with Home Instructor’s Guides appeared first on Classical Education Books.

Singapore Dimensions Math: Level 3B – Home Instructor’s Guide

sarah — Tue, 19 Jul 2022 20:19:19 +0000

Sample

A & B Books:

Table of Contents

Chapter 8: Multiplying and Dividing with 6, 7, 8, and 9
Lesson 1: The Multiplication Table of 6
Lesson 2: The Multiplication Table of 7
Lesson 3: Multiplying by 6 and 7
Lesson 4: Dividing by 6 and 7
Lesson 5: Practice A
Lesson 6: The Multiplication Table of 8
Lesson 7: The Multiplication Table of 9
Lesson 8: Multiplying by 8 and 9
Lesson 9: Dividing by 8 and 9
Lesson 10: Practice B

Chapter 9: Fractions — Part 1
Lesson 1: Fractions of a Whole
Lesson 2: Fractions on a Number Line
Lesson 3: Comparing Fractions with Like Denominators
Lesson 4: Comparing Fractions with Like Numerators Lesson 5: Practice

Chapter 10: Fractions — Part 2
Lesson 1: Equivalent Fractions
Lesson 2: Finding Equivalent Fractions
Lesson 3: Simplifying Fractions
Lesson 4: Comparing Fractions — Part 1
Lesson 5: Comparing Fractions — Part 2
Lesson 6: Practice A
Lesson 7: Adding and Subtracting Fractions — Part 1
Lesson 8: Adding and Subtracting Fractions — Part 2
Lesson 9: Practice B

Chapter 11: Measurement
Lesson 1: Meters and Centimeters
Lesson 2: Subtracting from Meters
Lesson 3: Kilometers
Lesson 4: Subtracting from Kilometers
Lesson 5: Liters and Milliliters
Lesson 6: Kilograms and Grams
Lesson 7: Word Problems
Lesson 8: Practice
Review 3

Chapter 12: Geometry
Lesson 1: Circles
Lesson 2: Angles
Lesson 3: Right Angles
Lesson 4: Triangles
Lesson 5: Properties of Triangles
Lesson 6: Properties of Quadrilaterals
Lesson 7: Using a Compass
Lesson 8: Practice

Chapter 13: Area and Perimeter
Lesson 1: Area
Lesson 2: Units of Area
Lesson 3: Area of Rectangles
Lesson 4: Area of Composite Figures
Lesson 5: Practice A
Lesson 6: Perimeter
Lesson 7: Perimeter of Rectangles
Lesson 8: Area and Perimeter
Lesson 9: Practice B

Chapter 14: Time
Lesson 1: Units of Time
Lesson 2: Calculating Time — Part 1
Lesson 3: Practice A
Lesson 4: Calculating Time — Part 2
Lesson 5: Calculating Time — Part 3
Lesson 6: Calculating Time — Part 4
Lesson 7: Practice B

Chapter 15: Money
Lesson 1: Dollars and Cents
Lesson 2: Making $10
Lesson 3: Adding Money
Lesson 4: Subtracting Money
Lesson 5: Word Problems
Lesson 6: PracticeReview 4
Review 5

Required Components:

Related Products:

Singapore Dimensions Math: Level 3B – Textbook
Singapore Dimensions Math: Level 3B – Workbook
Singapore Dimensions Math: Level 3B – Teacher’s Guide
Singapore Dimensions Math: Level 3B – Home Instructor’s Guide
Singapore Dimensions Math: Level 3B – Tests

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

The post Singapore Dimensions Math: Level 3B – Home Instructor’s Guide appeared first on Classical Education Books.

Singapore Dimensions Math: Level 3B – Home Instructor’s Printouts

sarah — Tue, 19 Jul 2022 20:09:02 +0000

Home Instructor’s Printouts that are removed from their plastic wrapping are final sale.

Please note, Home Instructor’s Guide printouts are different from Teacher’s Guide blackline masters.

Related Products:

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

The post Singapore Dimensions Math: Level 3B – Home Instructor’s Printouts appeared first on Classical Education Books.

Night of the Paranormal Patterns

sarah — Tue, 21 Jun 2022 20:28:10 +0000

Sample

When seventh grader Lennie Miller moves to the tiny town of Bailey, Indiana, she’s convinced that life is both boring and unfair. What could possibly be interesting about a place in the middle of nowhere? But it’s not long before she learns that Bailey isn’t at all what she expected. It is located on the edge of the Mystical Realm, and Lennie has a gift for seeing the otherworldly creatures that cross over from that world to ours. What’s more, Lennie learns that those creatures consider her a “Pattern Finder,” which means that they come to her to solve their math problems. And they certainly have some unusual problems!

Soon Lennie and her new best friend Gil are calculating who would win a race between a vampire and a werewolf, how fast gremlins reproduce, how many different ways wizards can switch bodies with one another, and how much cargo aliens can take with them on their ship. Maybe Bailey is a little too interesting. But just as it looks like she’ll be a Pattern Finder for life, Lennie discovers a potential way out. Can she find the magical veil her ancestor stole and go back to being a normal kid again?

Author Robert Black mixes his narrative with a series of pre-algebra-level math puzzles in what he calls “mathematical fiction.” He says:

“I wanted to use storytelling as a way of communicating math concepts. Just as a good historical novel can introduce readers to different times and places, I’m introducing readers to ways of looking at the world through numbers. When Lennie and Gil try to solve a math problem, readers are right there with them. Math can be a collaborative experience. There are many different ways to look at a problem, and it helps if you can talk with someone and trade ideas to see which way is best. There’s a lot of trial and error involved, too. It’s okay to try an approach and discover that it doesn’t work. Lennie and Gil go through all of that. They make mistakes. They go down blind alleys and have to try again. And readers get to share in that experience.”

Useful Links:

Robert Black’s article about math fiction on our News page
Article on “MiddleWeb” by Robert Black about writing the Mathematical Nights books

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Problemoids Set

sarah — Wed, 15 Jun 2022 21:14:54 +0000

Problemoids is a problem-solving program designed to meet the needs of intellectually gifted children, as well as those children who would benefit from an enriched mathematics program that is more advanced than that provided in the standard curriculum. It engages children in high-level thinking about challenging problems and provides a stimulating opportunity for them to develop and increase their repertoire of problem-solving strategies. It is grounded on the problem-solving work of distinguished mathematician George Polya (1887-1985). There are three levels of the program, for children in grades 4, 5, and 6.

The program focuses on developing and using problem-solving strategies, not on memorization or operations. Each of the three levels includes a student workbook, called Math Challenge, and an instructor manual, called Math Mentor, which includes a full discussion on implementation of the program, as well as answers to the problems in the student workbooks.

The topics covered in the program include sets, numbers and numeration, operations, algebra, geometry, measurement, and probability and statistics. The focus is heavily on mathematical reasoning.

These are books that will challenge children while providing them with opportunities to build their problem-solving skills. Children can then apply those skills in a variety of contexts, making this a true problem-solving program.

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