Teaching, Learning & Assessment » K-12 Standards & Instruction » Mathematics

2023 Mathematics Instructional Resources

Print
Share & Bookmark, Press Enter to show all options, press Tab go to next option
Font Size: + -

Resources to Support Mathematics Instruction

The Virginia Department of Education, in conjunction with mathematics leaders and teachers, are in the process of developing resources to support educators with the instruction of the 2023 Mathematics Standards of Learning. These resources are intended to support mathematics instruction and to inform the development and review of Highly Qualified Instructional Materials (HQIM).  

  • Mathematics Instructional Guides: These documents provide support to mathematics educators as they implement the 2023 Mathematics Standards of Learning. They include three sections: Understanding the Standard, Skills in Practice, and Concepts and Connections. Mathematics Instructional Guides are available for all grades and courses, K - Algebra 2. Please see the Standards of Learning for Mathematics webpage.
  • Mathematics Instructional Guide FAQ Document (Word | PDF): An FAQ document has been developed to provide information about the purpose, structure, intended audience, and use of the Mathematics Instructional Guides. 
  • Concepts and Connections Articulation Guide (Word | PDF): As a supplement to the Mathematics Instructional Guides, the Mathematics Concepts and Connections Articulation Guide provides support in identifying concepts aligned to the 2023 Mathematics Standards of Learning (SOL) that articulate across mathematics grade levels or courses. This guide connects prerequisite learning within the context of new learning in such a way that allows teachers to build and support connections between the relevant prerequisite (subsumed) skills and grade level/content area work in support of students’ access to content. The Concepts are interrelated and support the Connections to illustrate commonalities and connections.
  • K-3 Mathematics Achievement Sample Records – Schools maintain a record of achievement in mathematics for each K-3 student to monitor progress and to promote achievement on third-grade SOL tests. Please see the K-3 Mathematics Achievement Records webpage.
  • Overview of Revisions: These documents provide a comparison of the 2016 Mathematics Standards of Learning to the 2023 Mathematics Standards of Learning. They highlight significant changes in the standards including parameter changes and clarifications, additions, and deletions.  They are available for each individual grade level or course. In addition, a K-12 Overview of Revisions document is also available (Word | PDF).
  • Narrated Overview of Revisions Presentations: These PowerPoint presentations highlight significant changes and revisions in the 2023 Mathematics Standards of Learning. They are available for grades K - Algebra 2, and are available in PowerPoint and PDF formats.
  • Prioritization of Content: These documents outline the prominent content changes between the 2016 Mathematics Standards of Learning and the 2023 Mathematics Standards of Learning. Instructional notes are also included to support divisions as they prepare for full implementation of the 2023 Mathematics Standards of Learning during the 2024-2025 school year. These documents are available in Word and PDF formats for each grade level or course K - Algebra 2. In addition, the information shared in the following webinar may be helpful.
  • Exemplar Mathematics Instructional Plans: These exemplar documents provide educators with examples of instruction aligned with the 2023 Mathematics Standards of Learning. These examples of how the knowledge, skills, and processes found in the SOLs can be presented to students in the classroom can guide the development and review of Highly Qualified Instructional Materials. For additional information regarding the exemplar Mathematics Instructional Plans, please review this video. 
  • Understanding the Standards: These documents include the important understandings and key concepts that assist teachers in planning standards-focused instruction. The information may include definitions, explanations, or examples that support the mathematics content. Please see the Standards of Learning for Mathematics webpage.

  • Mathematics and NAEP Framework Analysis: As part of the comprehensive review of the Standards of Learning to increase rigor and expectations for students, VDOE had an external party review the new Mathematics Standards of Learning (SOL) in comparison to the 2026 National Assessment of Educational Progress (NAEP) Mathematics Framework. NAEP is a national assessment that sets the benchmark for what students should know and the progress of the nation’s students. The crosswalk and analysis found overall strong alignment between Virginia’s new Mathematics SOL and the NAEP Mathematics Framework. More information can be found in the Summary of Analysis between Virginia Standards of Learning document.

Kindergarten Resources

  • Overview of Revisions (Word | PDF)
  • Narrated Overview of Revisions (PPT | PDF)
  • Prioritization of Content (Word | PDF)

 Exemplar Mathematics Instructional Plans

  • K.NS.1 - Meaningful Rote Counting (Word | PDF) 
  • K.NS.2 - Number Boards (Word | PDF)
  • K.NS.2 - Build and Compare (Word | PDF)
  • K.CE.1 - How Many More to Equal 5? (Word | PDF)

Grade 1 Resources

  • Overview of Revisions (Word | PDF)
  • Narrated Overview of Revisions (PPT | PDF)
  • Prioritization of Content (Word | PDF)

Exemplar Mathematics Instructional Plans

  • 1.NS.2 - Counting and Writing Beyond 100 (Word | PDF)
  • 1.NS.2 - Comparing Numbers with Cubes and 10 Frames (Word | PDF)
  • 1.NS.2 - Is it More or Less? (Word | PDF)
  • 1.NS.2 - Estimate the Number of Objects to 120 (Word | PDF)

Grade 2 Resources

  • Overview of Revisions (Word | PDF)
  • Narrated Overview of Revisions (PPT | PDF)
  • Prioritization of Content (Word | PDF)

Exemplar Mathematics Instructional Plans

  • 2.NS.1 - Guess My Pattern (Word | PDF) 
  • 2.NS.1 - Even or Odd (Word | PDF)
  • 2.NS.2 - Place Value Mat Activities (Word | PDF)
  • 2.NS.4 - Race to a Dollar or Two! (Word | PDF)
  • 2.CE.1 - Four-in-a-Row Computation (Word | PDF)
  • 2.PS.1 - All About the Data (Word | PDF)
    • Accompanying Slow Reveal Graph (PPT | PDF)

Grade 3 Resources

  • Overview of Revisions (Word | PDF)
  • Narrated Overview of Revisions (PPT | PDF)
  • Prioritization of Content (Word | PDF)

Exemplar Mathematics Instructional Plans

  • 3.NS.1 - Place Value (Word | PDF) 
  • 3.NS.1 - Place Value Games (Word | PDF)
  • 3.NS.1 - Place Value Mat Activities (Word | PDF)
  • 3.NS.2 - Comparing and Ordering Numbers (Word | PDF)
  • 3.NS.3 - Composing and Decomposing Fractions (Word | PDF)
  • 3.NS.3 - Composing and Decomposing Fractions Centers (Word | PDF)
  • 3.MG.3 - Hoppin' on the Elapsed Timeline (Word | PDF)
  • 3.MG.3 - Where Did the Time Go? (Word | PDF)

Grade 4 Resources

  • Overview of Revisions (Word | PDF)
  • Narrated Overview of Revisions (PPT | PDF)
  • Prioritization of Content (Word | PDF)

Exemplar Mathematics Instructional Plans

  • 4.CE.1 - Addition and Subtraction with Whole Numbers (Word | PDF)
  • 4.CE.2 - Multiplying Two-Digit Numbers: Bridging from the Concrete to the Symbolic (Word | PDF)
  • 4.CE.4 - Shopping for Thanksgiving Lunch: Computation (Word | PDF)
  • 4.MG.3 - Exploring the Relationship Between Area and Perimeter (Word | PDF)

Grade 5 Resources

  • Overview of Revisions (Word | PDF)
  • Narrated Overview of Revisions (PPT | PDF)
  • Prioritization of Content (Word | PDF)

Exemplar Mathematics Instructional Plans

  • 5.NS.2 - Finding the Parts: Prime Factorization (Word | PDF)
  • 5.CE.2 - Multiple Madness: Common Multiples, Least Common Multiples, and Fractions (Word | PDF)
  • 5.CE.3 - Party Time: Computation and Estimation with Decimals (Word | PDF)
  • 5.PS.1 - Statistics: Learning About Data (Word | PDF)

Grade 6 Resources

  • Overview of Revisions (Word | PDF)
  • Narrated Overview of Revisions (PPT | PDF)
  • Prioritization of Content (Word | PDF)

Exemplar Mathematics Instructional Plans

  • 6. NS.3 - Whole-Number Exponents and Perfect Squares (Word | PDF)
  • 6.MG.1 - Circles (Word | PDF)
  • 6.MG.1 - Going the Distance (Word | PDF)
  • 6.MG.2 - Contextual Problems Involving Area and Perimeter (Word | PDF)
  • 6.PS.1 - Data Cycle and Circle Graphs (Word | PDF)

Grade 7 Resources

  • Overview of Revisions (Word | PDF)
  • Narrated Overview of Revisions (PPT | PDF)
  • Prioritization of Content (Word | PDF)

Exemplar Mathematics Instructional Plans

  • 7.NS.2 - Ordering Rational Numbers (Word | PDF) 
  • 7.NS.3 - Square Roots  (Word | PDF)
  • 7.CE.1 - Estimate, Solve, and Justify Contextual Problems (Word | PDF)
  • 7.MG.4 - Connecting Dilations to Similar Figures (Word | PDF)

Grade 8 Resources

  • Overview of Revisions (Word | PDF)
  • Narrated Overview of Revisions (PPT | PDF)
  • Prioritization of Content (Word | PDF)

Exemplar Mathematics Instructional Plans

  • 8.NS.1 - So Many Ways to Order! (Word | PDF)
  • 8.MG.3 - Transformations (Word | PDF)
  • 8.PS.2 - Representing Data Using Boxplots (Word | PDF)
  • 8.PFA.1 - Expressions, Expressions, and More Expressions (Word | PDF)

Algebra 1 Resources

  • Overview of Revisions (Word | PDF)
  • Narrated Overview of Revisions (PPT | PDF)
  • Prioritization of Content (Word | PDF)

Exemplar Mathematics Instructional Plans

  • A.EO.4 - Simplify and Determine Equivalent Rational Exponents of Whole Numbers (Word | PDF)
  • A.EI.2 - Graphing Systems of Linear Inequalities in Two Variables (Word | PDF)
  • A.F.1 - Transforming Linear, Quadratic, and Exponential Functions (Word | PDF)
  • A.F.2 - Rabbits: Comparing Linear, Quadratic, and Exponential Functions (Word | PDF)

Geometry Resources

  • Overview of Revisions (Word | PDF)
  • Narrated Overview of Revisions (PPT | PDF)
  • Prioritization of Content (Word | PDF)

Exemplar Mathematics Instructional Plans

  • G.RLT.2 - Parallel Lines and Angle Relationships (Word | PDF)
  • G.PC.1 - Quadrilateral Construction (Word | PDF)
  • G.PC.2 - Angles in Polygons (Word | PDF)
  • G.DF.1 - Surface Area and Volume (Word | PDF)

 Algebra, Functions, and Data Analysis Resources

Algebra 2 Resources

  • Overview of Revisions (Word | PDF)
  • Narrated Overview of Revisions (PPT | PDF)
  • Prioritization of Content (Word | PDF)

Exemplar Mathematics Instructional Plans

  • A2.EI.5 - Radical Equations (Word | PDF)
  • A2.F.1 - Types of Variation (Word | PDF)
  • A2.F.2 - Inverse Functions (Word | PDF)
  • A2.ST.3 - Permutations and Combinations (Word | PDF) 

Trigonometry Resources

  • Overview of Revisions (Word | PDF)

Computer Mathematics Resources

  • Overview of Revisions (Word | PDF)

Probability and Statistics Resources

  • Overview of Revisions (Word | PDF)

Discrete Mathematics Resources

  • Overview of Revisions (Word | PDF)

Mathematical Analysis Resources

  • Overview of Revisions (Word | PDF)

Data Science Resources

  • There is not an Overview of Revisions document for Data Science.