Advanced Common Core Math Explorations (Grades 5–8) Teacher's Guide

Jerry Burkhart, Author

The suggestions in this teacher’s guide are based primarily on the author's personal experience creating and teaching the activities in the Advanced Common Core Math Explorations series and in helping teachers implement these and similar activities. Most of the ideas here are not original, and have included references that offer more detail on some topics.

The goal has been to offer advice that teachers can use in a variety of situations—whether implementing the explorations as classroom lessons, group projects, or homework in mainstream or cluster classrooms, or in special classes for gifted students. You will need to choose the suggestions that are relevant to your circumstances.

Click to download the free e-booklet Teacher’s Guide for the Advanced Common Core Math Explorations series.

Books in the Advanced Common Core Math Explorations Series

In these books, students become mathematical adventurers in these challenging and engaging activities designed to deepen and extend their understanding of concepts from the Common Core State Standards in Mathematics.

Advanced Common Core Math Explorations: Factors and Multiples

The investigations in this book stretch students' mathematical imaginations to their limits as they explore mystifying patterns of colored blocks, analyze paths of pool balls, solve mathematical word puzzles, and unravel a baffling mathematical code. For more information or to order this title, visit the Advanced Common Core Math Explorations: Factors and Multiples product detail page.

Download the errata sheet for Advanced Common Core Math Explorations: Factors and Multiples here.

Advanced Common Core Math Explorations: Fractions

The investigations in this book stretch students' mathematical imaginations to their limits as they solve puzzles, create stories, and explore fraction-related concepts that take them from the mathematics of ancient Greece to the outer reaches of infinity. For more information or to order this title, visit the Advanced Common Core Math Explorations: Fractions product detail page.

Advanced Common Core Math Explorations: Numbers and Operations

The investigations in this book stretch students' mathematical imaginations to their limits as they investigate the numeration systems of creatures from another planet, create and solve stories and problems with extreme numbers, use place value to design their own new divisibility strategies, and play with a strange kind of number line specially designed to multiply numbers without a calculator. For more information or to order this title, visit the Advanced Common Core Math Explorations: Numbers and Operations product detail page.

Advanced Common Core Math Explorations: Measurement and Polgyons

The investigations in this book stretch students' mathematical imaginations to their limits as they create and manipulate geometric figures, draw and analyze complex designs, and develop and apply measurement strategies to solve challenging real-world and mathematical problems. For more information or to order this title, visit the Advanced Common Core Math Explorations: Measurement and Polygons product detail page.

Advanced Common Core Math Explorations: Ratios, Proportions, and Similarity

The investigations in this book stretch students' mathematical imaginations to their limits as they model the solar system, count the fish in a lake, choose the best gear for a bike ride, solve a middle school's overcrowding problem, and explore the mysteries of Fibonacci numbers and the golden ratio. For more information or to order this title, visit the Advanced Common Core Math Explorations: Ratios, Proportions, and Similarity product detail page.

Advanced Common Core Math Explorations: Probability and Statistics

The investigations in this book stretch students' mathematical imaginations to their limits as they learn powerful mathematical ideas about data and chance as they make sense of real-world situations from science, sports, and everyday life. For more information or to order this title, visit the Advanced Common Core Math Explorations: Probability and Statistics product detail page.