 Skip to main content # Sixth Grade Mathematics: Connected Math Project 3, Year 1

## In sixth grade, students embark on a three-year mathematical journey that helps them develop their mathematical skills and disposition through daily investigations rooted in real-world applications.

Students use mathematics to represent, describe and model the world around them. Each class period allows students to strengthen their resolve to be effective and efficient problem-solvers, collaborate with classmates, and improve their ability to explain their solutions with solid mathematical reasoning. There is an emphasis on why questioning, rather than rote practice of a learned algorithm. There are frequent checks for understanding during each unit. Students are asked to reflect on their mathematical learning at the end of each unit.

The sixth-grade year consists of seven themed units that include:

• Prime Time: Students understand relationships among factors, multiples, divisors and products by studying ferris wheels, cicada cycles and patterns of recurring events.
• Comparing Bits and Pieces: Students focus on representing numbers in fraction form, then build their knowledge of equivalent fractions to using ratios as comparisons. Segmented gummy worms and fundraiser thermometers for a Walkathon anchor these concepts in a real-world context.
• Let’s Be Rational: This unit solidifies the students’ ease of working with all operations with fractions and introduces variables to represent unknown values and equations to represent relationships. Examining recipes help students make a real-world connection.
• Covering and Surrounding: This geometry-focused unit reviews and expands students’ understanding of two-dimensional measurement. Students begin graphing the relationships between dimensions and fixed area and perimeter to see their first quadratic relationships in graph form.
• Decimal Ops: Like Let’s Be Rational, this unit focuses on all operations with decimals, instead of fractions. Students become proficient with decimal manipulations. Students work with sales tax, tips and interest rates to move between percents and decimals.
• Variables and Patterns: This unit concentrates on algebraic ideas that set the foundation for future algebra work in seventh and eighth grade. The theme of this unit is a college-student-run bike tour business.
• Data About Us: In this unit, students learn to collect and analyze data, using their results to describe people and their characteristics.

The sixth-grade journey results in mastery of arithmetic algorithms, operations with decimals, operations with fractions, order of operations, ratio, proportion, percent, spatial geometry, beginning algebra, and data analysis.