Utah Core Standards

Overview

The Utah State Board of Education adopted the K-12 Utah Core Standards for Mathematics in January 2016. Core guides provide a description of the Core Standards, including concepts and skills to master, critical background knowledge and academic vocabulary. The course overview documents show the major work of the grade level and the coherence of content across grade levels.

Regulation

R277-700-9: The Elementary and Secondary School General Core
Utah Office of Administrative Rules

Resources

Concurrent Enrollment
Utah State Board of Education Early College

High Ability Students and the Utah Mathematics Core Standards

Talking Points: Mathematics Competency Board Rule

Utah High School Mathematics Graduation Pathways

Elective Courses

Secondary Supplementary Intervention Mathematics Course

Utah Core Standards

The Utah State Board of Education adopted the K-12 Utah Core Standards for Mathematics in January 2016.

Standards by Grade

Utah State Board of Education Utah Core State Standards for Mathematics Elementary Levels (K-5)

Utah State Board of Education Utah Core State Standards for Mathematics Middle/Junior High School Grades (6-8)

Utah State Board of Education Utah Core State Standards for Mathematics High School (9-12)

Secondary Mathematics Utah Core Changes

Applied and Advanced Foundational (AAF) Courses

Accounting I

Accounting II

AP Calculus AB | AP Calculus BC | AP Statistics
CollegeBoard Advanced Placement (AP) Central

College Prep Mathematics

Computer Science and Information Technology
Utah State Board of Education Career and Technical Education (CTE)

Introductory Calculus

Introductory Statistics

Mathematical Decision Making for Life

Mathematics 1030: Introduction to Quantative Reasoning
Utah Education Network (UEN)

Mathematics of Personal Finance

Modern Mathematics

Mathematics Core Guides

Core guides provide a description of the Core Standards, including concepts and skills to master, critical background knowledge and academic vocabulary. These guides also connect related standards both within and across grade levels or courses.

Kindergarten

Counting and Cardinality (K.CC)

Geometry (K.G)

Measurement and Data (K.MD)

Number and Operations in Base Ten (K.NBT)

Operations and Algebraic Thinking (K.OA)

First Grade

Geometry (1.G)

Measurement and Data (1.MD)

Number and Operations in Base Ten (1.NBT)

Operations and Algebraic Thinking (1.OA)

Second Grade

Geometry (2.G)

Measurement and Data (2.MD)

Number and Operations in Base Ten (2.NBT)

Operations and Algebraic Thinking (2.OA)

Third Grade

Geometry (3.G)

Measurement and Data (3.MD)

Number and Operations in Base Ten (3.NBT)

Number and Operations: Fractions (3.NF)

Operations and Algebraic Thinking (3.OA)

Fourth Grade

Geometry (4.G)

Measurement and Data (4.MD)

Number and Operations in Base Ten (4.NBT)

Number and Operations: Fractions (4.NF)

Operations and Algebraic Thinking (4.OA)

Fifth Grade

Geometry (5.G)

Measurement and Data (5.MD)

Number and Operations in Base Ten (5.NBT)

Number and Operations: Fractions (5.NF)

Operations and Algebraic Thinking (5.OA)

Sixth Grade

Ratios and Proportional Relationships (6.RP)

Expressions and Equations (6.EE)

Geometry (6.G)

Statistics and Probability (6.SP)

The Number System (6.NS)

Seventh Grade

Expressions and Equations (7.EE)

Geometry (7.G)

Ratios and Proportional Relationships (7.RP)

Statistics and Probability (7.SP)

The Number System (7.NS)

Eighth Grade

Expressions and Equations (8.EE)

Functions (8.F)

Geometry (8.G)

Statistics and Probability (8.SP)

The Number System (8.NS)

Secondary Mathematics I

Number and Quantity

Quantities (N.Q)

Algebra

Creating Equations (A.CED)

Reasoning with Equations and Inequalities (A.REI)

Seeing Structure in Expressions (A.SSE)

Functions

Building Linear or Exponential Functions (F.BF)

Interpreting Linear and Exponential Functions (F.IF)

Linear and Exponential (F.LE)

Geometry

Congruence (G.CO)

Expressing Geometric Properties with Equations (G.GPE)

Statistics and Probability

Interpreting Categorical and Quantitative Data (S.ID)

Honors

Number and Quantity: Vector and Matrix Quantities (N.VM)

Secondary Mathematics II

Numbers and Quantity

The Complex Number System (N.CN)

The Real Number System (N.RN)

Algebra

Arithmetic with Polynomials and Rational Expressions (A.APR)

Creating Equations (A.CED)

Reasoning with Equations and Inequalities (A.REI)

Seeing Structure in Expression (A.SSE)

Functions

Building Functions (F.BF)

Interpret Functions (F.IF)

Linear, Quadratic, and Exponential Models (F.LE)

Trigonometric Functions (F.TF)

Geometry

Circles (G.C)

Congruence (G.CO)

Expressing Geometric Properties with Equations (G.GPE)

Similarity, Right Triangle Trigonometry, and Proof (G.SRT)

Statistics

Conditional Probability and the Rules of Probability (S.CP)

Interpreting Categorical and Quantitative Data (S.ID)

Secondary Mathematics III

Number and Quantity

The Complex Number System (N.CN)

Algebra

Arithmetic with Polynomials and Rational Expressions (A.APR)

Creating Equations (A.CED)

Reasoning with Equations and Inequalities (A.REI)

Seeing Structure in Expression (A.SSE)

Functions

Building Functions (F.BF)

Interpreting Functions (F.IF)

Linear, Quadratic, and Exponential Models (F.LE)

Trigonometric Functions (F.TF)

Geometry

Modeling with Geometry (G.MG)

Statistics

Interpreting Categorical and Quantitative Data (S.ID)

Making Inferences and Justifying Conclusions (S.IC)

Major Works

The purpose of this document is to provide a brief overview of the most essential content in the grade level along with a progression of how the content was addressed in the prior grade level and will prepare students for content in the future grade level. This is not a comprehensive list of content in the grade level as defined in the Utah Core Standards, but rather highlights the major work of the grade level.

Major Work of Kindergarten

Major Work of Grade 1

Major Work of Grade 2

Major Work of Grade 3

Major Work of Grade 4

Major Work of Grade 5

Major Work of Grade 6

Major Work of Grade 7

Major Work of Grade 8 Mathematics

Major Work of Secondary Mathematics I

Major Work of Secondary Mathematics II

Major Work of Secondary Mathematics III

Assessment

Sample Assessment Items

The Mathematics Core Guides contain sample items for each standard and may be used by teachers as formative assessments. These items are samples of what rigor could look like in the standards and are not meant to be comprehensive or summative assessments.

Grades Kindergarten and Grades 3-11 Assessment Items:

Grades 1-2 Mathematics Assessment Items: