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Mathematical Reasoning™

Bridging the Gap Between Computation and Math Reasoning

Grades: Toddler-9


Full Curriculum

Mathematical Reasoning™

Grades: Toddler-9


Full Curriculum

  •  Multiple Award Winner

Forget boring math lessons and dreaded drill sheets.  These fun, colorful books use engaging lessons with easy-to-follow explanations, examples, and charts to make mathematical concepts easy to understand.  They can be used as textbooks or comprehensive workbooks with your textbooks to teach the math skills and concepts that students are expected to know in each grade—and several concepts normally taught in the next grade.

Every lesson is followed with a variety of fun, colorful activities to ensure concept mastery.  The lessons and activities spiral slowly, allowing students to become comfortable with concepts, but also challenging them to continue building their problem-solving skills.  These books teach more than mathematical concepts; they teach mathematical reasoning, so students learn to devise different strategies to solve a wide variety of math problems.  All books are written to the standards of the National Council of Teachers of Mathematics.

Beginning 1, Beginning 2, and Level A Contents

     •  Counting
     •  Identifying
     •  Matching
     •  Ordering
     •  Position
     •  Comparing and Estimating
     •  Addition
     •  Subtraction
     •  Locating
     •  Writing
     •  Grouping
     •  Patterns
     •  Geometric Shapes
     •  Measurement
     •  Data/Probability
     •  Fractions

Level B, Level C, Level D, Level E, Level F, and Level G Contents

Mathematical Reasoning Content Chart

Understanding Algebra I
This is a one-year Algebra I course for Grades 7-9. Students who have a solid algebra background will have no trouble with the algebra problems from SAT and even the GRE.  This 384-page book highlights vocabulary and notation, and has examples from the history of math.

What makes this book unique and different from other algebra textbooks is that it is built from the experiences of an award-winning algebra teacher with more than 30 years of teaching experience. Many textbooks are written by a committee of authors, and many of those authors have little experience teaching beginning algebra students in middle school or high school.

Understanding Algebra I presents the most essential concepts and skills needed to fully understand and gain confidence in algebra in a step-by-step fashion, teaching students that algebra is generalized arithmetic. It helps students see the connection between mathematics that they already know and algebra, so that learning algebra becomes easier and less abstract. This book provides students with real strategies to succeed in solving word problems by using charts and translating strategies that guarantee success.

Understanding Algebra I Contents

     •  Set and Set Notation
     •  Number Lines
     •  Graphing
     •  Rationals
     •  Operations
     •  Expressions
     •  Equations
     •  Inequalities
     •  Word Problem
     •  Percent Problems
     •  Ratio Problems
     •  Motion Problems
     •  Work Problems
     •  Absolute Value
     •  Polynomials
     •  Factoring
     •  Radicals
     •  Linear Functions
     •  Slope
     •  Elimination
     •  Graphing
     •  Substitution
     •  Absolut Value
     •  Algebraic Fractions


Understanding Geometry
The successful completion of this colorful 272-page book will virtually guarantee a student’s success in high school geometry.  Although the geometric concepts of perimeter, area, and volume are taught piecemeal from elementary school through middle school, too many students enter high school without the skills and knowledge to succeed in high school geometry. Unfortunately, middle school students receive very little education on the properties of parallelograms and the tools needed to succeed at doing geometric proofs. The result is a high number of students who struggle with high school geometry and standardized testing. Geometry is a fundamental subject in high school standardized testing.

This book teaches students an understanding of the reasoning behind the properties taught in geometry–instead of merely asking them to memorize them. Students are also taught the basics of geometric proofs and coordinate geometry in a way middle school students can understand. A glossary of terms that every student must master is included. This book can be used as a classroom textbook in Grades 7, 8, or 9 (usually over a two-year period). In many high schools this book can also be used as a one-year high school geometry course. This book follows the National Math Standards in mathematics but it goes further.

Understanding Geometry Contents

     •  Geometry Notation
     •  Lines
     •  Planes
     •  Angles—Types and Properties
     •  Pythagorean Theorem
     •  Polygons
     •  Quadrilateral Properties
     •  Parallelogram Properties
     •  Perimeter
     •  Circumference
     •  Pi
     •  Trapezoids
     •  Geometric Constructions
     •  3D Shapes—Prism, Cylinders, Pyramids, and Cones
     •  Symmetry
     •  Transformations—Reflection, Translations, Rotations, and Dilations
     •  Tessellations
     •  Proofs
     •  Congruency
     •  Slopes

NOTE:  It is our recommendation that students complete Understanding Algebra I (see description above) before attempting Understanding Geometry.

Mathematical Reasoning™ Supplements
These supplemental books reinforce grade math concepts and skills by asking students to apply these skills and concepts to non-routine problems. Applying mathematical knowledge to new problems is the ultimate test of concept mastery and mathematical reasoning. These user-friendly, engaging books are made up of 50 theme-based collections of problems, conveniently grouped in self-contained, double-sided activity sheets that provide space for student work. Each collection contains relevant math facts at the end of the worksheet in case students need hints to solve the problems. Calculators are allowed on activity sets that have a calculator icon at the top of the front side of the set. Each activity set is accompanied by a single-sided answer sheet containing strategy tips and detailed solutions. Teachers and parents will appreciate the easy-to-understand, comprehensive solutions. These books are a wonderful enrichment tool, but also can be used to assess how well students have learned their grade level's math concepts.

Item No. Title Grade Type Price Qty
06913PBP Mathematical Reasoning™ Beginning 1 Toddler-PreK Paperback Book
price $32.99
06914PBP Mathematical Reasoning™ Beginning 2 PreK Paperback Book
price $34.99
06906PBP Mathematical Reasoning™ Level A K Paperback Book
price $39.99
06907BBP Mathematical Reasoning™ Level B 1 Paperback Book
price $39.99
06908BBP Mathematical Reasoning™ Level C 2 Paperback Book
price $42.99
06909BBP Mathematical Reasoning™ Level D 3 Paperback Book
price $42.99
06910BBP Mathematical Reasoning™ Level E 4 Paperback Book
price $42.99
06911BBP Mathematical Reasoning™ Level F 5 Paperback Book
price $42.99
06912BBP Mathematical Reasoning™ Level G 6 Paperback Book
price $42.99
06932BBP Understanding Algebra I 7-9 Paperback Book
price $39.99
06930BBP Understanding Geometry 7-9 Paperback Book
price $36.99
06921BBP Mathematical Reasoning™ Grades 2-4 Supplement 2-4 Paperback Book
price $24.99
06922BBP Mathematical Reasoning™ Grades 4-6 Supplement 4-6 Paperback Book
price $24.99
06924BBP Mathematical Reasoning™ Middle School Supplement 7-9 Paperback Book
price $24.99
06963PEP Mathematical Reasoning™ Beginning 1 - eBook (WINDOWS ONLY) Toddler-PreK eBook
price $32.99
06964PEP Mathematical Reasoning™ Beginning 2 - eBook (WINDOWS ONLY) PreK eBook
price $34.99
06956PEP Mathematical Reasoning™ Level A - eBook (WINDOWS ONLY) K eBook
price $39.99
06957BEP Mathematical Reasoning™ Level B - eBook (WINDOWS ONLY) 1 eBook
price $39.99
06958BEP Mathematical Reasoning™ Level C - eBook (WINDOWS ONLY) 2 eBook
price $42.99
06959BEP Mathematical Reasoning™ Level D - eBook (WINDOWS ONLY) 3 eBook
price $42.99
06960BEP Mathematical Reasoning™ Level E - eBook (WINDOWS ONLY) 4 eBook
price $42.99
06961BEP Mathematical Reasoning™ Level F - eBook (WINDOWS ONLY) 5 eBook
price $42.99
06962BEP Mathematical Reasoning™ Level G - eBook (WINDOWS ONLY) 6 eBook
price $42.99
06981BEP Understanding Algebra I - eBook (WINDOWS ONLY) 7-9 eBook
price $39.99
06980BEP Understanding Geometry - eBook (WINDOWS ONLY) 7-9 eBook
price $36.99
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