Utah Core Standards Mathematics Grade 6
The resources below have been created or gathered by Utah educators to support the implementation of the new Utah Core Standards for Sixth Grade Mathematics.
General Information and Teaching Resources New Core Format 6th Grade Math Overview Four Critical Areas
Introduction to Standards
This brief introduction explains the four critical areas of focus in the Sixth Grade Mathematics Core.
The USOE Elementary Math Specialist worked with Utah educators to create these comprehensive Curriculum Guides.
Educators from Jordan, Granite, Davis and Salt Lake School Districts developed these Conceptual Foundations documents and "Teacher Resource Libraries". They may be helpful to others, but they are not sanctioned by USOE.
Sixth Grade Common Core Crosswalks (pdf)
This document identifies how the Common Core differs from the 2007 Utah core. (Be sure to look at the key at the bottom of the documents.)
Curriculum Map (pdf)
Granite School District educators developed this Curriculum Map for the 6th grade Mathematics Core Standards. They may be helpful to others, but they are not sanctioned by USOE.
Granite School District educators developed Mathematics vocabulary cards and other resources that support both the previous core and the new Utah Core Standards.
Short videos of inspiring educators sharing lesson ideas that support the Mathematics Core Standards.
Literature List (pdf)
This list of books support the CCSS Mathematics Grade 6 and it is even organized by Domains. Thank you to Granite School District for creating this.
Practice Standards Posters (pdf)
The Standards for Mathematical Practice describe varieties of expertise that educators should seek to develop in their students. These classroom posters can help accomplish this goal.
IXL Math Skills
Sixth grade students can practice Math skills aligned to the new Core Standards.
Unpacking Standards (pdf)
North Carolina educators "unpacked" each standard so that it is clear what a student must know, understand and be able to do.
Illustrative Mathematics Project
A flexible display of the standards, with the hierarchy expanding or collapsing at a click, and the K–8 standards viewable both by grade level and by domain.
Instructional Support Tools (pdf)
North Carolina Dept. of Public Instruction developed this document to explain what each of the 6th grade Math standards mean.
Please Share Other Resources
Are you aware of additional educational resources that support the Sixth Grade Mathematics Core? Please take a moment to share them with us.
Utah Core Standards Format
- Domains are overarching big ideas that connect topics across the grades
e.g. Ratios and Proportional Relationships
- Standards define what students should be able to understand and be able to do.
e.g. "Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship."
- Clusters are groups of related standards. Clusters may appear in multiple grade levels.
6th Grade Overview:
Ratios and Proportional Relationships
- Understand ratio concepts and use ratio reasoning to solve problems.
The Number System
- Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
- 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.
Expressions and Equations
- Apply and extend previous understandings of arithmetic to algebraic expressions.
- Reason about and solve one-variable equations and inequalities.
- Represent and analyze quantitative relationships between dependent and independent variables.
- Solve real-world and mathematical problems involving area, surface area, and volume.
Statistics and Probability
- Develop understanding of statistical variability.
- Summarize and describe distributions.
Four Critical Areas:
In 6th Grade, instructional time should focus on four critical areas:
- connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems;
- completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers;
- writing, interpreting, and using expressions and equations; and
- developing understanding of statistical thinking.