Connecting Math Concepts

Connecting Math Concepts is a balanced research-supported mathematics program that teaches students to use mathematics in their everyday lives with understanding and success.  New information is introduced in small steps from lesson to lesson, so that instruction proceeds at reasonable rate and students are not overwhelmed.  Continuous review is provided so students learn, remember, and integrate the concepts they are taught.


Levels A, B, and C, are comparable as follows:


K & 1st

1st & 2nd







 Level A builds on the aspect of mathematics that is most familiars to children – counting.  Counting experiences are developed in a variety of contexts, expanded to the concepts of more and less, and then to addition and subtraction.  This foundation in number sense is extended to the representation of numbers and place value.  Finally, this number sense is systematically applied to problem solving, estimation, money, and measurement.

 Level B provides many illustrations of how mathematical concepts are linked to each other and to the outside world.  For example, money is used to illustrate renaming, regrouping, multiplication, problem solving and many other concepts.  Connecting Math includes both symbolic and physical representations for place value, regrouping, renaming, and so forth.

 Level C places a strong emphasis on higher-order thinking.  Students learn a variety of mapping techniques for measurement, money, time, and various projects. Students graphically represent information before they attempt to calculate an answer.  In addition, instruction covers place value, geometry, estimation and calculator use.  Concepts and computational skills are also taught for regrouping, multiplication, division, and fractions.

 Number Worlds is used as a one-semester transition program between CMC and Saxon.  Daily lessons involve using communication, logic, reasoning, modeling, tools, precision, structure and patterns to solve problems.  Students collaborate on projects to answer an essential question, and each week builds on the next.  Students are challenged to apply and demonstrate mastery of concepts and skills by expressing understanding through discussion and presentation. 


Saxon Math is structured to help every student be a successful mathematics learner.  It provides the time students need to discover, master and apply mathematical concepts. It teaches new concepts using incremental development; topics are developed in small steps spread over time.  Then, it incorporates continual review of previously presented concepts over the course of the year. 

 Intermediate 4 is a comprehensive 4th grade math curriculum that uses a textbook format.  The program offers daily cumulative, mixed practice and frequent assessment to continuously monitor student progress.  Multi-step performance tasks with evaluation rubrics are also included so students can demonstrate their understanding.  Intermediate 4 reviews addition, subtraction, and number concepts and continues through multiplication and division of whole numbers. It also teaches fractions up through addition and subtraction of fractions and mixed numbers, including those with different denominators. Money is used to introduce decimal numbers. In addition, students study quite a bit of geometry, learn about averages, and work with tables, schedules, and graphs.

Intermediate 5 is a comprehensive 5th grade math curriculum that uses a textbook format.  The program offers daily cumulative, mixed practice and frequent assessment to continuously monitor student progress.  Multi-step performance tasks with evaluation rubrics are also included so students can demonstrate their understanding.  Math Intermediate 5 reviews quite a bit of what was taught in Math Intermediate 4, then moves on to multiplication and division of fractions, all four functions with decimal numbers, and an introduction of percents.

 Middle School Courses 1–3 ensure students attain and retain deep understanding and can apply their learning in real-world situations. Saxon Math Courses 1, 2, and 3 integrate and distribute traditional units, giving students time to learn and practice skills throughout the year, master content, and develop higher-order thinking. Skills and concepts are built through critical thinking, helping students become better and more confident problem solvers. The books focus students directly on the math, eliminating distractions so that students can build meaningful math connections

 Course 1 is our transition program into middle school math.  New concepts are introduced every day, and are reinforced by examples.  Among topics covered at this level are fractions, mixed numbers, decimals, percents, ratios, rounding, estimating, exponents, working with signed numbers, square roots, beginning algebraic expressions, surface area, volume, angles, circles, prime factorization, ratios and proportions, and statistics and probability.

 Course 2 concepts and problem solving are bridged by consistent mathematic language.  Teaching through mathematical thinking is the foundation for helping students become successful problem solvers. Course 2 covers word problems, scientific notation, statistics and probability, ratios and proportions, simplifying and balancing equations, factoring algebraic expressions, slope-intercept form, graphing linear inequalities, arcs and sectors and the Pythagorean Theorem.

 Course 3 prepares students for the more rigorous math courses they will have to take in high school.  Algebraic thinking is a major focus, and it is embedded and distributed throughout.  Students build a solid foundation and confidence in algebra concepts.  Other concepts included are working with data, perimeter, area, volume, ratio, proportions and probability. 

 Algebra 1 is a one-year course designed to fulfill the high school algebra requirement.  Students learn the functional relationships that provide the basis for equations.  Data organization, numerical patterns and relationships are presented early to enhance student understanding of functions.  Equations are solved graphically and symbolically.  Connections to the real world and to various mathematical strands are made. Graphing calculator labs model mathematical situations. 

Geometry is a one-year geometry course designed to fulfill the high school geometry requirement.  Depending on the high school, students’ grades maybe transferred to their high school of choice and included on their high school transcript.  Students learn how to apply and calculate measurements of length, height, circumference, area, and volume. There is also an introduction to trigonometry.  Students use logic to create proofs and constructions and work with key geometry theorems and proofs.  Algebraic concepts are embedded throughout each lesson as well.