Welcome to Grade 6 Math!
This page will give an overview of 6th grade math at Green Hills School. Described below are the focus of study for the year, the mathematical practices and a list of the units of study.
6th grade moves from the K-5 focus on the theme of units to the middle school theme of ratios. This shift will develop through 7th grade, leading to a strong foundation for Algebra 1.
Focus of Study
The major work of math in Grade 6 will focus on these areas:
- Introduction to understanding ratio concepts and using ratio reasoning to solve problems.
- Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
- Apply and extend previous understandings of numbers to the system of rational numbers.
- Apply and extend previous understandings of arithmetic to algebraic expressions.
- Reason about and solve one step equations and inequalities problems.
- Represent and analyze quantititative relationships between dependent and independent variables.
Additional work will be in these areas and infused throughout the modules:
- Compute fluently with multi-digit numbers and find common factors and multiples.
- Solve real world and mathematical problems involving area, surface area and volume.
- Develop an understanding of statistical variability by working with data, box plots and mean absolute deviation.
- Summarize and describe distributions from data representations.
We want our students to be great problem solvers and have many strategies to solve math problems. In class, the children will learn a variety of instructional strategies that will become foundational for work from grades K-8.
"Procedural fluency is the ability to apply procedures accurately, efficiently, and flexibly; to transfer procedures to different problems and contexts; to build or modify procedures from other procedures; and to recognize when one strategy or procedure is more appropriate to apply than another." National Council of Teachers of Mathematics
By the end of Grade 6, the goal is for students to be fluent with multi-digit division using the standard algorithm. We are also looking for students to be fluent with all operations of fractions (concepts, skills and problem solving) and multi-digit decimals. Parents can help at home by continuing to help students practice multiplication and division facts up to 12. Fluency in this area is an important step for Grade 7 as the students will begin to work with rational and irrational numbers, equations and inequalities, which are all important foundations for Algebra 1.
In addition to the work with skills, procedures and problem solving, students spend time in class working on the mathematical practices. These practices are based on the National Council of Teachers of Mathematics research. Teachers are helping students become strong mathematicians through these processes.
MP1: Make sense of problems and persevere in solving them.
MP2: Be able to reason abstractly and quantitatively.
MP3: Construct or build viable arguments (proofs) and critique the reasoning of others at an age appropriate level.
MP4: Create mathematical models from real world situations.
MP5: Use appropriate tools strategically, like pencil and paper, calculators, number lines, tape diagrams, etc. to help solve problems in flexible ways.
MP6: Attend to precision in their answers and interpretations of their answers in context.
MP7: Look for and make use of the structure of patterns, equations and expressions to help solve more challenging problems.
MP8: Look for and express regularity in repeated reasoning.
Units of Study
Eureka Math is comprised of units called Modules. The modules build on each other, creating a unified sequence of topics to help build student understanding and the development of computation skills and the ability to reason mathematically. A lot of time is spent on building conceptual understanding, meaning we spend a lot of time with models such as drawings and objects, in order to build a strong foundation of understanding how math works, not just how to solve quick addition or subtraction equations.
Module 1: Ratios & Unit Rates
Module 2: Arithmetic Operations including Division of Fractions
Module 3: Rational Numbers
Module 4: Expressions & Equations
Module 5: Area, Surface Area & Volume Problems
Module 6: Statistics