The usage of mathematics brings our everyday experiences to life; not a day passes that we fail to encounter a skill in mathematics. The Math Clues Series is an extensive resource that provides a clear understanding of basic mathematical concepts. Developing the understanding of the relationship of one concept to another is demonstrated throughout the series. The language of mathematics is precise and the skill of each concept is fully developed with lessons, practice, and motivating story problems.

In Book 3 of the series, Number Theory and Graphing, students will explore concepts such as prime and composite numbers, common factors and multiples, rules of divisibility, averages, and more. They will also learn to interpret and create a variety of graphs. Through the mastery of these skills, other mathematical skills of problem solving and creative thinking are discovered.

Number Theory and Graphing is divided into three sections:

Introduction and Review of Concepts
The lessons in this section present important mathematical concepts and teach students important computation skills. Step-by-step directions and easy-to-understand definitions clearly explain each concept and procedure. This section will serve as a useful reference guide for the lessons in the last two sections.

Skill-Building Word Problems
Creative story problems use mystery and humor to hold students’ interest. Each lesson in this section deals with a particular skill, and students are aware of the skill being practiced in each.

Challenge Word Problems
These pages add an additional challenge for students who understand all of the concepts and have mastered the computational skills covered in this resource. The same type of problems that were presented in the second section are presented in this section with one important exception—students are not told which skills are involved.

Download the Table of Contents pages here.

Grades 3–5.

The lessons and activities in this book align with the following Common Core State Standards*:
CCSS.Math.Content.4.MD.B
CCSS.Math.Content.5.MD.B
CCSS.Math.Content.6.NS.A,B,C
CCSS.Math.Content.6.SP.A,B,C

Apply and extend previous understandings of multiplication and division to divide fractions by fractions
Develop understanding of statistical variability.
Summarize and describe distributions.
Represent and interpret data.
Compute fluently with multi-digit numbers and find common factors and multiples.
Apply and extend previous understandings of numbers to the system of rational numbers.
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
Develop understanding of statistical variability.
Summarize numerical data sets in relation to their context.

*Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers
Title: Common Core State Standards English Language Arts
Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington, D.C.
Copyright Date: 2010