# Mathematics

### Math News!

- Information, Opportunities for Assessment Work, Resources, Materials and Presentation Recordings from Math Content meetings can be found at the
**Math Content Hub**. **Mathematical Fluency**is more than a quick answer on some timed test. Students demonstrate Fluency when they do mathematics using anin a reasonable amount of time,**appropriate strategy**and can apply or adapt strategies to find a correct solution.**knowing multiple processes****Mathematical Rigor**is achieved when students are able to select and use**appropriate processes**then communicate their ideas and reasoning with**clarity****precision****MO LEAP Math Blocks**provide mini-progressions, rich tasks and unit opener resources that can be used with any district curriculum.- In collaboration with Missouri Educators, DESE has released
**priority standards and resources**to support student learning and acceleration. - Missouri Math Educators will be meeting in for Content sessions during the 2023-2024 school year, please see the
**Curriculum Calendar**to register for summer and school year content meetings - We’re seeking K through 6th grade #STEM teachers who show deep content knowledge and the ability to motivate students for success. If you know a teacher that fits this description, nominate them today. Details can be found at
**Award Information**. - Interface Update! The next Interface Conference will be September 27 through October 1 meeting in 2024. The middle day, September 29, will be a K-12 day! Please go to the Interface page for additional information!

**Assessment Development Recruitment**

As a part of the assessment development cycle, DESE Assessment invites Missouri educators to participate in the process to help provide expertise. Missouri is always looking for educators to participate in these meetings. If you wish to be considered for participation for any future development meetings, please complete the online submission form at https://dese.mo.gov/form/assessment-meetings-interest. Once finished, you will receive an email to the personal email address provided to confirm your submission.

- Essential Resources
## Essential Resources

### Mathematics Item Specifications

In 2014 Missouri legislators passed House Bill 1490, mandating the development of the Missouri Learning Expectations. In April of 2016, these Missouri Learning Expectations were adopted by the State Board of Education. Groups of Missouri educators from across the state collaborated to create the documents necessary to support the implementation of these expectations.

One of the documents developed is the item specification document, which includes all Missouri grade level/course expectations arranged by domains/strands. It defines what could be measured on a variety of assessments. The document serves as the foundation of the assessment development process.

Although teachers may use this document to provide clarity to the expectations, these specifications are intended for summative, benchmark, and large‐scale assessment purposes.

Components of the item specifications include:

**Expectation Unwrapped**breaks down a list of clearly delineated content and skills the students are expected to know and be able to do upon mastery of the Expectation.**Depth of Knowledge (DOK) Ceiling**indicates the highest level of cognitive complexity that would typically be assessed on a large scale assessment. The DOK ceiling is not intended to limit the complexity one might reach in classroom instruction.**Item Format**indicates the types of items used in large scale assessment. For each expectation, the item format specifies the type best suited for that particular expectation.**Content Limits/Assessment Boundaries**are parameters that item writers should consider when developing a large scale assessment. For example, some expectations should not be assessed on a large scale assessment but are better suited for local assessment.**Sample stems**are examples that address the specific elements of each expectation and address varying DOK levels. The sample stems provided in this document are in no way intended to limit the depth and breadth of possible item stems. The expectation should be assessed in a variety of ways.**Calculator Designation**indicates whether a calculator will be available for test questions written to a particular expectations on the large-scale assessment.

Kindergarten Grade 6 Grade 1 Grade 7 Grade 2 Grade 8 Grade 3 Algebra I Grade 4 Algebra II Grade 5 Geometry

### Expanded Version of the Mathematics Grade- and Course-Level Expectations

The following documents, linked below, were created by Missouri educators to provide classroom teachers a more descriptive version of the mathematics Grade- and Course-Level Expectations (GLEs and CLEs). Much of this work came from the committees that developed the new expectations; however, many other educators have read and contributed to them. Please remember, these are curriculum development documents and are not designed as an assessment resource. Additionally, the examples and lists provided are not exhaustive and are not meant to place limits on the work being done in Missouri classrooms or on assessment development.

While all efforts were made by the committees to provide a clear expectation of student learning, at times it may be difficult to ascertain exactly what the committee intended. These documents will alleviate some of the questions that inevitably arise when new expectations are released.

In the example below, which illustrates how the documents are organized, the left-hand side lists the official GLE or CLE in order. The right-hand side is the expanded expectation.

**MLS Code****Actual Expectation Wording****Expanded Expectation**5.NF.A.3 Compare and order fractions and/or decimals to the thousandths place using the symbols >, = or <, and justify the solution. The expectation for the student is to compare and order fractions, or decimal numbers to the thousandths place, by reasoning about their size. Record the results of comparisons with symbols >, = or <, and justify the conclusions. ( *e.g., by using benchmarks, number lines, manipulatives or drawings)*The reader will find instances where both the original and expanded versions are the same. In these cases it was determined the expectation was clear and any additional description could be detrimental or limiting to the original intent of the committee.

These are working documents and the authors encourage the readers to develop their own examples and lists to bring these mathematics expectations to life in their classrooms. Also note that these curriculum development documents may be updated in the future to include more detail or clarification of the intended student learning.

__GRADE-LEVEL EXPECTATIONS__- Kindergarten - Expanded Expectations PDF | Word
- Grade 1 - Expanded Expectations PDF | Word
- Grade 2 - Expanded Expectations PDF | Word
- Grade 3 - Expanded Expectations PDF | Word
- Grade 4 - Expanded Expectations PDF | Word
- Grade 5 - Expanded Expectations PDF | Word
- Grade 6 - Expanded Expectations PDF | Word
- Grade 7 - Expanded Expectations PDF | Word
- Grade 8 - Expanded Expectations PDF | Word

__COURSE-LEVEL EXPECTATIONS__### Performance Level Descriptors (PLD)

__MAP GRADE-LEVEL PLDs__#### END-OF-COURSE PLDs

- Additional Resources
## Assessed Standards

The Revised standards, approved on April 19, 2016 are for implementation beginning in the 2016-2017 academic year. They will be assessed beginning in the 2017-2018 school year.

Mathematics - K-5: K-5 PDF | K-5 Word

Mathematics - 6-12: 6-12 PDF | 6-12 Word

Mathematics - K-12: K-12 Excel## Additional Resources

- Math Crosswalks: K | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | Algebra 1 | Algebra 2 | Geometry
- 2020-2021 Grade-Level Assessment Blueprints
- 2020-2021 EOC Blueprints

## MLS-Math Resources

## Math Practice Forms

#### Grade 3

#### Grade 4

#### Grade 5

#### Grade 6

#### Grade 7

#### Grade 8

#### EOC Practice Forms

- Presentations
## Presentations

### Math Content meeting materials and recording at the Math Hub

**Updates on the Implementation of the Mathematics Missouri Learning Standards**- Professional Learning
## Professional Learning

Math Content Meetings for 2021 – 2022 will be in September, November, January and March. This year we are currently planning on virtual sessions. Here is the link to the Curriculum calendar: https://dese.mo.gov/college-career-readiness/curriculum#Calendar to register for these meetings. On each of these months there will be a K – 5, 6 – 12, and an Assessment Update session.

Math Content meeting materials and recording at the Math Hub.

Please contact Traci Gardner at traci.gardner@dese.mo.gov with questions or for more details.

## Interface 2024 – Decades of Discovery

For forty years the Interface Conference has been a place where educators collaborate to improve mathematics and science instruction for the children of Missouri. Please consider presenting at one of Missouri’s premier professional learning events. Feel free to forward this message to other educators that you believe would also be interested in providing high quality presentations.

#### The 2024 Interface dates are:

- Friday, September 27, 2024 – Tuesday, October 1, 2024
- Find information about the Interface Conference here.
- Find registration information for the conference here.

Sponsored by the Missouri Department of Elementary and Secondary Education in cooperation with the MU Conference Office

- Contact Traci Gardner

#### National Council of Teachers of Mathematics

- Organizations
## Professional Mathematics Organizations

It is vital for Missouri mathematics educators to be active life-long learners in the field of improving mathematics instruction. Two characteristics of being a life-long learner are an active engagement in professional organizations and networking with other professionals in your field. The following organizations, listed below, are available to support mathematics educators. Please consider becoming an active member in one or more of these groups. If you have questions please visit their websites or contact the individual listed for each group.

__National Mathematics Organizations__#### National Council of Teachers of Mathematics (NCTM)

- Website: https://www.nctm.org/

#### National Council of Supervisors of Mathematics (NCSM)

- Membership: https://www.mathedleadership.org/membership/
- Missouri Team Leader: Marilyn Cannon marilyn.cannon@raytownschools.org

__State-Wide Mathematics Organizations__#### Missouri Council of Teachers of Mathematics (MCTM)

- Website: https://www.moctm.org/
- Contact: Cindy Bryant, mo.mathgal@mchsi.com

Missouri Council of Supervisors of Mathematics (MoCSM)- Contact: Sherri Kane, sherri.kane@lsr7.net

American Regions Mathematics League (ARML)- Website: https://mathleague.org/arml/armlinvt.htm
- Contact: Sonya Land, sonya@mathisfun.org

Missouri Mathematics Association for the Advancement of Teacher Training (MAT)2- Website: https://sites.google.com/site/missourimatsquared/
- Contact: Ann McCoy, mccoy@ucmo.edu

__Regional Mathematics Organizations__### Central Missouri Mathematics Educators (CM2E)

- Website: http://www.ucmo.edu/math-cs/undergrad/mathed/educators.cfm
- Contact: Ann McCoy, mccoy@ucmo.edu

#### Kansas City Area Teachers of Mathematics (KCATM)

- Website: www.kcatm.net/
- Contact: Rita Barger, bargerr@umkc.edu

#### Mathematics Educators of Greater St. Louis (MEGSL)

- Website: https://comradeweb.com/saint-louis-digital-marketing-agency/
- Contact: Patrick Mooney, pmooney@pkwy.k12.mo.us

#### Mathematics Educators of South Central Missouri (MESCM)

- Contact: Jerry Trick, jerrytrick@missouristate.edu

#### Southwest Missouri District Association of Mathematics Teachers (SWMDAMT)

- Website: https://associations.missouristate.edu/SWMDAMT/
- Contact: Jesse Hiett, jehiett@spsmail.org

- Website: https://www.nctm.org/
- Additional Sample Items
## Additional Sample Items

Grade 1

#### Number Sense and Operations in Base Ten

#### Number Sense and Operations

#### Relationships and Algebraic Thinking

Grade 3

#### Data and Statistics

#### Geometry and Measurement

- 3.GM.A.2 Example 1
- 3.GM.A.3 Example 1
- 3.GM.B.4 Example 1
- 3.GM.B.4 Example 2
- 3.GM.B.5 Example 1
- 3.GM.B.6 Example 1
- 3.GM.B.6 Example 2
- 3.GM.B.8 Example 1
- 3.GM.C.9 Example 1
- 3.GM.C.10 Example 1
- 3.GM.C.11 Example 1
- 3.GM.C.11 Example 2
- 3.GM.C.12 Examples 1, 2, and 3
- 3.GM.C.12 Example 4
- 3.GM.C.13 Examples 1 and 2
- 3.GM.C.14 Example 1

#### Number Sense and Operations in Fractions

#### Relationships and Algebraic Thinking

Grade 4

#### Data and Statistics

#### Geometry and Measurement

#### Number Sense and Operations in Base Ten

#### Number Sense and Operations in Fractions

- 4.NF.A.1 Example 1
- 4.NF.A.1 Example 2
- 4.NF.A.1 Example 3
- 4.NF.A.1 Examples 4 and 5
- 4.NF.A.1 Example 6
- 4.NF.A.1 Examples 7 and 8
- 4.NF.A.2 Example 1
- 4.NF.A.2 Example 2
- 4.NF.A.2 Examples 3 and 4
- 4.NF.A.2 Example 5
- 4.NF.A.2 Example 6
- 4.NF.A.3 Example 1
- 4.NF.A.3 Example 2
- 4.NF.B.5 Example 1
- 4.NF.B.5 Example 2
- 4.NF.B.6 Example 1
- 4.NF.B.6 Example 2
- 4.NF.B.7 Examples 1 and 2
- 4.NF.B.8 Example 1
- 4.NF.C.9 Example 1
- 4.NF.C.9 Example 2
- 4.NF.C.10 Example 1
- 4.NF.C.10 Example 2
- 4.NF.C.10 Example 3
- 4.NF.C.11 Example 1
- 4.NF.C.11 Example 2
- 4.NF.C.11 Example 3
- 4.NF.C.11 Example 4
- 4.NF.C.12 Example 1
- 4.NF.C.12 Example 2
- 4.NF.C.12 Example 3
- 4.NF.C.12 Example 4
- 4.NF.C.12 Example 5

#### Relationships and Algebraic Thinking

Grade 5

#### Geometry and Measurement

#### Number Sense and Operations in Base Ten

#### Number Sense and Operations in Fractions

- 5.NF.A.2 Example 1
- 5.NF.A.2 Example 2
- 5.NF.A.2 Example 3
- 5.NF.A.3 Examples 1 and 2
- 5.NF.A.3 Example 3
- 5.NF.A.3 Examples 4 and 5
- 5.NF.A.3 Example 6
- 5.NF.B.4 Examples 1 and 2
- 5.NF.B.4 Examples 3, 4, and 5
- 5.NF.B.4 Example 6
- 5.NF.B.5a Example 1
- 5.NF.B.5b Examples 1 and 2
- 5.NF.B.5b Example 3
- 5.NF.B.5b Example 4
- 5.NF.B.5c Example 1
- 5.NF.B.5c Example 2
- 5.NF.B.5c Examples 3 and 4
- 5.NF.B.5c Example 5
- 5.NF.B.5d Examples 1 and 2
- 5.NF.B.5d Examples 3 and 4
- 5.NF.B.5d Example 5
- 5.NF.B.5d Example 6
- 5.NF.B.6 Example 1
- 5.NF.B.6 Example 2
- 5.NF.B.7b Examples 1 and 2

#### Relationships and Algebraic Thinking

Grade 6

#### Data Analysis, Statistics and Probability

#### Expressions, Equations and Inequalities

- 6.EEI.A.1 Example 1
- 6.EEI.A.1 Example 2
- 6.EEI.A.2a Example 1
- 6.EEI.A.2a Example 2
- 6.EEI.A.2b Example 1
- 6.EEI.A.2b Example 2
- 6.EEI.A.2c Example 1
- 6.EEI.A.2c Example 2
- 6.EEI.A.2c Example 3
- 6.EEI.A.2e Example 1
- 6.EEI.A.3 Example 1
- 6.EEI.A.3 Example 2
- 6.EEI.A.3 Example 3
- 6.EEI.B.4 Examples 1, 2, and 3
- 6.EEI.B.4 Example 4
- 6.EEI.B.4 Example 5
- 6.EEI.B.4 Example 6
- 6.EEI.B.4 Example 7
- 6.EEI.B.5 Examples 1 and 2
- 6.EEI.B.5 Example 3
- 6.EEI.B.5 Example 4
- 6.EEI.B.5 Example 5
- 6.EEI.B.6 Example 1
- 6.EEI.B.6 Example 2
- 6.EEI.B.7 Example 1
- 6.EEI.B.7 Example 2
- 6.EEI.B.8a Example 1
- 6.EEI.B.8b Example 1
- 6.EEI.C.9a Example 1
- 6.EEI.C.9a Example 2
- 6.EEI.C.9a Example 3
- 6.EEI.C.9b Example 1
- 6.EEI.C.9b Example 2

#### Geometry and Measurement

#### Number Sense and Operations

#### Ratios and Proportional Relationship

Grade 7

#### Data Analysis, Statistics and Probability

#### Expressions, Equations and Inequalities

#### Geometry and Measurement

#### Number Sense and Operations

#### Ratios and Proportional Relationship

Grade 8

#### Data Analysis, Statistics and Probability

#### Expressions, Equations and Inequalities

- 8.EEI.A.1 Example 1
- 8.EEI.A.1 Example 2
- 8.EEI.A.2a Example 1
- 8.EEI.A.2b Example 1
- 8.EEI.A.2c Example 1
- 8.EEI.A.4b Example 1
- 8.EEI.B.5a Example 1
- 8.EEI.B.5a Example 2
- 8.EEI.B.5a Example 3
- 8.EEI.B.5b Example 1
- 8.EEI.B.5b Example 2
- 8.EEI.C.7a Examples 1 and 2
- 8.EEI.C.7b Examples 1, 2, and 3
- 8.EEI.C.8c Example 1
- 8.EEI.C.8d Example 1

#### Functions

#### Geometry and Measurement

#### Number Sense and Operations

Algebra 1

#### Building Functions

#### Creating Equations And Inequalities

#### Data And Statistics

#### Interpreting Functions

#### Linear, Quadratic And Exponential Models

#### Number And Quantity

#### Seeing Structure In Expressions

Geometry

#### Congruence

#### Similarity, Right Triangles And Trigonometry

Algebra 2

#### Arithmetic With Polynomials And Rational Expressions

#### Building Functions

#### Modeling With Functions, Or Functions And Modeling

#### Interpreting Functions

#### Number And Quantity

#### Reasoning With Equations And Inequalities

#### Seeing Structure In Expressions Functions

- Released Scored Performance Events
## Released Scored Performance Events

Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8