Elementary

Junior High

High School

Alternative

Elementary

Our Goal for Elementary mathematics is two fold:

To support mathematical learning in the classroom as it attends to the Standards for Mathematical Practice:

  1. Make sense of problems and persevere in solving them.
  2. Reason abstractly and quantitatively.
  3. Construct viable arguments and critique the reasoning of others.
  4. Model with mathematics.
  5. Use appropriate tools strategically.
  6. Attend to precision.
  7. Look for and make use of structure.
  8. Look for and express regularity in repeated reasoning.

To support mathematical teaching in the classroom as it attends to the Mathematics Teaching Practices:

  1. Establish mathematics goals to focus learning.
  2. Implement tasks that promote reasoning and problem solving.
  3. Use and connect mathematical representations.
  4. Facilitate meaningful mathematical discourse.
  5. Pose purposeful questions.
  6. Build procedural fluency from conceptual understanding.
  7. Support productive struggle in learning mathematics.
  8. Elicit and use evidence of student thinking.

Resources for Parents and Students

DESK Standards

Curriculum Access

Kindergarten-1st Investigations

Access Pearson Investigations 

  1. Visit your school homepage
  2. Select "Parents & Students" tab
  3. Click student resources
  4. Pearson Easy Bridge
  5. Log in with district username and password

2-6 Advantage Math

Parents can access resources for K-6 math curriculum two different ways:

  1. 2-6 Mathematics OneDrive: To log in, use your student's email address & PIN number as the password.
  2. MyDSD: Follow these instructions to access resources through MyDSD

 

Utah State Board of Education- Mathematics

Visit the Utah State Board of Education Mathematics website under resources for additional parent support.

Resources for Educators

DESK Standards

DESK Standards

Utah Mathematics Standards

USBE Core Guides

Developed by the Utah State Board of Education math department, core guides provide a detailed description of the Utah Core Standards. These core guides include concepts and skills to master, vertical alignment, critical background knowledge, and suggested models and instructional strategies. 

 

 

Mathematical Practices

Standards for Mathematical Practice:
  1. Make sense of problems and persevere in solving them.
  2. Reason abstractly and quantitatively.
  3. Construct viable arguments and critique the reasoning of others.
  4. Model with mathematics.
  5. Use appropriate tools strategically.
  6. Attend to precision.
  7. Look for and make use of structure.
  8. Look for and express regularity in repeated reasoning.

STANDARDS FOR MATHEMATICS TEACHING PRACTICE:

  1. Establish mathematics goals to focus learning.
  2. Implement tasks that promote reasoning and problem solving.
  3. Use and connect mathematical representations.
  4. Facilitate meaningful mathematical discourse.
  5. Pose purposeful questions.
  6. Build procedural fluency from conceptual understanding.
  7. Support productive struggle in learning mathematics.
  8. Elicit and use evidence of student thinking.

Visit this link for mathematical practice posters produced by Jordan School District. Each practice has several options available for different age groups.

Progressions

Progressions Documents for the Common Core State Standards for Mathematics

"The Common Core State Standards in mathematics were built on progressions: narrative documents describing the progression of a topic across a number of grade levels, informed both by research on children's cognitive development and by the logical structure of mathematics. 

The progressions can explain why standards are sequenced the way they are, point out cognitive difficulties and pedagogical solutions, and give more detail on particularly knotty areas of the mathematics. They would be useful in teacher preparation and professional development, organizing curriculum, and writing textbooks. Progressions documents also provide a transmission mechanism between mathematics education research and standards."

-From Achieve the Core

USBE Priority Standards

Priority Standards


Priority Standards have been identified and developed through a state-wide collaboration effort at the Utah State Board of Education.  The Priority Standards indicate the grade level standards for each Elementary Math grade band that should be explored at depth and with the most time with students.  Standards that are in the Core Curriculum or DESK standards that are not included in the Priority Standards indicate standards that should receive less depth and instructional time.  

Kindergarten
First Grade
Second Grade
Third Grade
Fourth Grade
Fifth Grade
Sixth Grade

Drill Down and Intervention Tools

How do I drill down to identify areas of deficit in math?

Identifying deficits in math can be difficult because concepts in math are so intertwined. When a student has  difficulty grasping a mathematical concept, a number of underlying deficits may exist. The purpose of a drill down is to identify a student's highest level of proficiency in order to determine where to target interventions to support the area of concern. 

  1. Access the Coherence Map
  2. Navigate to the grade level, strand, and standard of concern
  3. Click "Map Standard"
  4. Look at related and supporting standards to the left, identify possible problem areas
  5. Use the sample tasks included in each standard as a quick assessment to determine the highest level of proficiency.

 

What is an instructional intervention?

An Instructional Intervention is a specific set of steps to help a student improve in an area of significant need. Because students are unique and have different areas of need in a school setting, there are many different types of interventions. The purpose of the intervention is to provide specific instruction, targeting a student’s most foundational learning deficit. The goal is to improve student learning in that area, thus bringing them closer to grade level proficiency. Instructional interventions occur in the Tier 2 and Tier 3 phases of instruction.

To find appropriate instructional interventions for math, take the following steps:

  1. Use the Coherence Map to drill down to the student's high-level of proficiency.
  2. Locate the Core Guide for the grade level and standard that was identified in the drill down (found under DESK Standards above).
  3. Use the suggested strategies and models on the Core Guide as targeted interventions during small group instruction.

Evaluate Davis Goals

K-1 Investigations

Our newly adopted curriculum for kindergarten and first grade is Investigations, by Pearson. This curriculum will be implemented district wide beginning the 2019-2020 school year.

Access Investigations

Access Pearson Investigations 

  1. Visit your school homepage
  2. Select "Parents & Students" tab
  3. Click student resources
  4. Pearson Easy Bridge
  5. Log in with district username and password

DESK Standards Alignment

DESK Standards and Investigations Alignment

See how teachers who piloted the program rate how well Investigations aligns to the DESK Standards:

*Money is not taught in first grade Investigations, but money is part of the Utah Core Standards and is also part of the Davis Essential Skills and Knowledge Standards. Supplemental curriculum for this standard can be found here:

 

 

Materials

Program components

Kindergarten

  • 8 curriculum units
  • Investigations Implementation Guide
  • Common Core Content Guide
  • Assessment Sourcebook
  • Student Activity Book (black line master)
  • Student Activity Book DVD-Rom
  • Cards kit
  • Teacher & student digital access

First grade

  • 8 curriculum units
  • Investigations Implementation Guide
  • Common Core Content Guide
  • Assessment Sourcebook
  • ExamView DVD-Rom
  • Student Activity Book (black line master)
  • Student Activity Book DVD-Rom
  • Cards kit
  • Teacher & student digital access
Manipulatives

Picture catalog of manipulatives referenced in the curriculum:

See how teachers who piloted the program rate the manipulatives suggested for the program:

Manipulative kits from old DSD curriculum

Trade books

Picture books referenced in Investigations (these are not sold by Pearson). We recommend looking for them in the library or finding read aloud videos online.

Training

Next-Level Investigations Training

Perhaps you have questions now that you’ve been teaching with the materials for a couple of months, or maybe you are ready to really dive in to Planning to Inform Practice and Principles and Priorities, or the Math Practices and Technology and Tools—this is the workshop for you!  Choose one (or more) of the half day sessions and earn 3 relicensure hours per half day course and get valuable Investigations pedagogy training!

For a printer friendly file, click here.

Model Lessons

View Investigations in action in a Davis classroom.

Kindergarten- Anjanette McNeely, Lincoln Elementary

First grade- Stacey Osborne, Syracuse Elementary

Supplemental Curriculum

Money is not taught in first grade Investigations, but money is part of the Utah Core Standards and is also part of the Davis Essential Skills and Knowledge Standards. Supplemental curriculum for this standard can be found here:

2-6 Advantage Math

Accessing Advantage Math

The teachers edition of Advantage Math can be accessed on iPad as well as through the DESK for Teachers OneDrive folder. To get the full functionality of Advantage Math, you will want to use both locations.

DESK

The DESK for Teachers folder on OneDrive can be accessed through your Office 365 account. In this folder you can access:

  • student practice pages
  • school-to-home connection
  • assessments
  • in-class activities
  • PDF version of teacher's edition (note: this version is not interactive)

View the curriculum here.

iPad

The iPad version of Advantage Math is interactive and intended for use during instruction. This version includes easy-to-present features such as:

  • pop-out tasks and problems for class discussion
  • formative checks in each lesson
  • additional resources (videos, games, links)
  • colorful photos
  • writing prompts 

To download Advantage Math to your iPad, follow these instructions

Materials

Imagine Learning Pathways

Imagine Learning now has pathways tailored to Advantage Math! This is a great resource for tier 2 instruction, differentiation, and extension. You can choose to assign this pathway to the entire class, or to individual students. The Quick Guide will help you get set up.

Training

Advantage Math Trainings

For a printer-friendly file, click here.

Math Software

ST Math

Visit ST MATH

 

Rostering, log in, and tech support:

support@mindresearch.org

888-491-6603

 

PD and implementation support:

Piia Pehap

pkpehap@mindresearch.org

801-641-3038

 

Purchasing and sales:

Shae Rohrer

srohrer@mindresearch.org

801-550-7167

Imagine Math

Visit Imagine Learning

Support:

Gretchen Brown

gretchen.brown@imaginelearning.com

702-460-8306

 

Rostering information:

Bulk rostering using CSV

Rostering individual students

 

i-Ready

Log in support:

Mark Reid

mreid@dsdmail.net

 

Support:

Joel Kongaika

joelk@cainc.com

801-319-4832

ALEKS

Log in support:

Mark Reid

mreid@dsdmail.net

 

Purchasing and support

Connie Roubinet

connie.roubinet@mheducation.com

801-631-8079

Professional Learning

Book Studies

Site-based

Site-based support is an a-la-carte approach to targeting professional learning. Formats and topics of this support are developed with the learners' needs as the central focus. We want this to be beneficial to educators and students and we are excited to support learning on a personal level.

Possible ways to utilize site-based support

  • co-teaching and modeling lessons
  • grade-level planning
  • unpacking standards
  • instructional strategies
  • instructional coaching and feedback
  • out-of-district professional learning opportunities
  • integration of content areas

The possibilities are endless! If you are a principal, team, or individual teacher who would like support in math, please contact Valerie Boyles at vboyles@dsdmail.net.  

 

Davis Collaborative Teams

Davis Collaborative Teams (DCTs) are an exciting way for educators across the district to collaborate on math and science. These meetings are beneficial for those who are looking for collaboration across the district, to dig deep into pedagogy, want to share resources, desire the latest news in STEM, and love talking about teaching. Participants of these meetings include teachers, coaches, and district support. Topics of meetings are generated by the needs and requests of participants. K-6 teachers will be meeting monthly at different schools across the district to discuss the four questions of the DCT process, new standards implementation, share ideas, and discuss rigor and relevance in instruction. The true purpose of these groups above all else is to build relationships between teachers across their grade level. These groups will be facilitated by  grade level facilitators and managed by a district level coordinator. These groups will meet in Microsoft Teams as their online platform. All teachers are invited.  

K-6 first meeting September 12 from 4-6 pm in the Administration Building Auditorium.

 

Where we've been

Our first two years of collaboration were during the 2016-2018 school year. Our groups were small but motivated, meeting in person for two hours each month. Collaboration began with truly understanding the Utah Core Curriculum in our individual science content areas. We then identified what student proficiency looks like (what should students know), how to measure student proficiency (how do we know what they know), and what to do about it (what do we do if they do if they don't get it). Each group was allowed to choose what this process looked like, set their own goals, and choose how to accomplish these goals within the Collaborative team framework.

Where we're going

The 2018-20189 school year marks our third year in this undertaking. We hope to build on what we have created, and expand our groups. This year we will invite teachers from around the state, communicating through Facebook. Join us! Research shows that meaningful collaboration among teachers is the best way to improve student learning and test scores.

 

Possible topics of DCTs:

  • unpacking standards
  • resources for new science standards
  • digging deeper into Advantage Math
  • additional math instructional resources
  • assessment (formative, summative, end-of-year)
  • planning
  • blended learning
  • integration of content areas

Math Endorsement

Are you looking to develop your teaching practice and content knowledge in math? Earn your elementary math endorsement! Tuition is sponsored by Davis School District and is free to Davis School District Educators*. This program consists of 6 courses over the span of 2 years. These classes are typically held once a week for 3 hours after school from 4:15-7:15. Applicants are asked to commit to the full program and make arrangements to be available in order to apply. View course descriptions and tentative schedule here. (This course schedule is for individuals who have already started and are continuing the program. Individuals wishing to being the program are invited to join the next cohort, beginning in January 2021. 

Program benefits include:

·     Free tuition for DSD employees*

·     Earn 18 graduate-level credits from Weber State University (3 credits per course completed)

·     Instructors include Weber State University faculty members and other math instruction experts

·     Develop math pedagogy and math content knowledge

* Cohort members must purchase their own textbooks and pay a $40 registration fee to WSU per course. Non-DSD employees pay $350 to the Teaching and Learning department per course.

 

 

 

 

 

8x8 Project

The 8x8 Math Teacher Leader Project is recruiting K-12 teachers interested in gaining more tools for teaching mathematics in ways that promote success for all students.  The project focuses on teacher use of the Mathematical Teaching Practices written about in Principles to Actions to support student use of the Standards of Mathematical Practice outlined in the Common Core State Standards for Mathematics.  

 

The project is directed by Professor C. David Walters of Weber State University, Lindsey Henderson (Davis School District’s Secondary Math Specialist), and six master teachers who are outstanding graduates of the program.  It is open to all teachers from school districts in the Northern Utah Curriculum Consortium (Box Elder, Cache, Davis, Logan, Morgan, Murray, North Summit, Ogden, Park City, Rich, Tooele, Weber) at no cost!  Teachers who attend all six workshops and submit implementation videos are eligible for substitute fee compensation, stipend compensation, money to use toward classroom materials, and graduate credit.  The workshops are scheduled for 9/3, 10/8, 11/12, 1/28, 2/25, and 3/24 from 8:30-3:30 at the WSU Davis campus.

 

Teachers can register for the project by using this link to the registration form.

USBE

Visit the Utah State Board of Education's website and Utah Education Network's website to see additional professional learning opportunities offered by the state.

 

USBE Summer Professional Learning Series

We are excited to announce three summer professional learning courses for 2019! Note that all locations will offer participants the chance to engage in either the elementary or secondary Mathematics for All Students course on Monday and Tuesday AND THEN the What the Tech? course on Wednesday and Thursday for a fluid four day run of fantastic mathematics-centric professional learning! See below for course details, dates, and locations. 

Each two-day course will cost $25 and will get participants lunch on both days, resources, and MIDAS credit. Each course participant will have the opportunity to do an extension after the conclusion of the course that will earn them a $150 stipend (thanks to the STEM Action Center’s generous donation).

Courses will run during the following dates and locations from 8:00 a.m. - 4:00 p.m. each day:

  • May 28-31, 2019 (Tuesday-Friday) Nebo School District 
  • June 3-6, 2019 (Monday – Thursday) Iron County
  • June 3-6, 2019 (Monday – Thursday) Davis School District
  • June 10-13, 2019 (Monday – Thursday) Washington County
  • June 17-20, 2019 (Monday – Thursday) Cache County 
  • June 17-19, 2019 (Monday – Thursday) San Juan County
  • June 24-27, 2019 (Monday – Thursday) Alpine 

If you have any questions about the USBE Summer PL Series, please contact:

Shannon Ference for Elementary Mathematics (Shannon.Ference@schools.utah.gov), 

Joleigh Honey for Secondary Mathematics (Joleigh.Honey@schools.utah.gov) and, 

Nathan Auck for Technology (nathan.auck@schools.utah.gov)

 

Elementary Mathematics For All Students- Midas #50652 

Re-invigorate your math instruction by coming together to collaborate with teachers, engage with rich mathematics tasks, and apply key practices to your own math classroom. Leave with concrete strategies you can use to enhance your planning, instruction, and assessment to create an equitable learning environment that enables all of your students to succeed in mathematics. (Held on Mondays and Tuesdays)

Secondary Mathematics for All Students- Midas #52313 

Participants will learn to apply the Utah Multi-Tiered System of Support (UMTSS) framework to increase student learning of mathematics and promote high expectations for each and every student.  The sessions will focus on practical strategies to implement high quality math tasks in an accessible way, elicit student thinking, and support productive struggle.  Discussions and activities will integrate and encompass the critical components of the UMTSS framework:  High-quality Instruction, Team-based Problem Solving, and Data-based Decision Making. (Held on Mondays and Tuesdays)

What the Tech? Improving the Efficacy of Your Mathematics Classroom- Midas #52275

What the heck is “What the Tech”? In this course, mathematics plays the lead role with technology as the supporting actor. Come learn about what makes a mathematics classroom effective, how to incorporate technology into a mathematics classroom strategically and how to evaluate what’s working and what is not. Novice to expert tech users from grades K-12 will be engaged in the use of digital tools to provide opportunities for students to reason critically, communicate effectively, and model mathematical concepts using multiple representations. (Held on Wednesdays and Thursdays)

Trainings

K-1 Strategies for Effective Math Practice
This full-day training will be for K-1 teachers to learn about the teaching practices that will be used in the new curriculum to be implemented next year, Investigations. It is highly recommended as a pre-requisite to the curriculum training. This training will focus on strategies for increasing discussion and asking deeper questions. Register through Midas #50554.

 

Option 1 Option 2

Kindergarten

Training materials

Thursday, March 7

9:00-3:00

130 N. Main, Farmington

Monday, June 10

9:00-3:00

PDC, Kendall Building

1st Grade

Training materials

Wednesday, April 17

9:00-3:00

130 N. Main, Farmington

Monday, June 24

9:00-3:00

PDC, Kendall Building

 

K-1 Investigations Curriculum Training
This half-day training will provide K-1 teachers with an overview of their new curriculum. An overview of the program, resources, and scope and sequence will be provided. Register through Midas #50555. 

  Option 1 Option 2 Option 3 Option 4

Kindergarten

Training materials

Monday, April 29

8:30-11:30

130 N. Main, Farmington

Monday, April 29

12:30-3:30

130 N. Main, Farmington

Monday, June 11

8:30-11:30

PDC, Kendall Building

Monday, June 11

12:30-3:30

PDC, Kendall Building

1st Grade

Training materials

Tuesday, April 30

8:30-11:30

130 N. Main, Farmington

Tuesday, April 30

12:30-3:30

130 N. Main, Farmington

Tuesday, June 25

8:30-11:30

PDC, Kendall Building

Tuesday, June 25

12:30-3:30

PDC, Kendall Building

Newsletter

STEM Olympiad

STEM Olympiad - Grades 4-6

Elementary - STEM Olympiad

The elementary Science Olympiad is developed by teachers in Davis School District.  It is a competition for 4th-6th graders which seeks to develop STEM based skills in our students.  The events change regularly and are broken in to 3 Science/Engineering events and 3 Math events.  We will be hosting a coordinator meeting on September 18th from 4:15-5:30 pm at the Kendell building. The address is 70 East 100 North, Farmington  and will be held in the PDC. Event rules will not be posted until after this meeting.  

District ELEMENTARY Math & Science Olympiad Competition is on Tuesday, May 19, 2020 at Central Davis Junior High.

  • There will be two sessions that day, one in the morning and one in the afternoon. 

  • Each session will last approximately 2 hours, 9:00-11:30 or 1:00-3:30. 

  • Your school will be assigned one session to attend. 

Transportation 

  • Busing will NOT be provided by the District. You will need to make your own arrangements for transporting your students to and from Central Davis Junior High School. 

Chaperones 

  • One teacher will need to accompany students from each grade level. 

  • Parents are not to chaperone students. 

Meet the Directors

Math Olympiad Director 

Science Olympiad Directors

STEM Olympiad Events

  • There will be six events at the Olympiad (three Math and three Science). Each event has a rule/information sheet. Please be sure to familiarize your students with the rules. 

  • Teams who do not abide by the rules will be eliminated from competition. We desire for everyone to have an enjoyable and meaningful experience. Thank you in advance for following all rules and guidelines! 

 

Student Teams 

  • Each event is designed for a team of 2 students. Each grade level is eligible to send one team of 2 students in each event for their school. Note: Only one team per grade level per school is eligible to compete in each event. 

  • Students may participate in more than one event if desired, but it is not mandatory. 

  • Students who are waiting to compete, or who have finished their competition, are required to stay with their school chaperone and to be respectful spectators as the other students complete their events. 

  • Please do not bring your entire class to the Olympiad. Only students competing in the Olympiad are invited to attend. 

Competition and Awards 

  • Students will compete against students on their same grade level from other schools. 

  • Scores will be tabulated at the end of each event and winners will receive their awards.

Mathematical Task Resources

YouCubed by Jo Boaler (Grades K-12): Low threshold, high ceiling tasks, naturally differentiating, highly engaging, and aligned with grade levels.  YouCubed tasks aren't specifically aligned with a math standard but allow students to access and experience rigorous mathematics. The only drawback is not enough content!

When Math Happens by Dan Meyer (Grades 3-12): 3-Act Tasks with engaging video clips and simple questions that are of the "What do you notice? What do you wonder? What do you need to know?" style.  These tasks are all tied to grade-level content areas.  The only drawback is not enough content!

Robert Kaplinsky (Grades K - 12):  Tasks complete with teacher lesson plans that include engaging, current topics with rigorous mathematics.  These tasks are all tied to grade-level content areas.  The only drawback is not enough content!

Achieve the Core Coherence Map (Grades K-12):  The Coherence Map shows the connections between State Standards for Mathematics.  They help build student understanding by linking together concepts within and across grades. The map assists in identify gaps in a student's knowledge by tracing a standard back through its logical pre-requisites and it helps you visualize and understand how supporting standards relate to the major work of the grade. Embedded in the map are over 45 math tasks tied to standards. 

Would You Rather (Grades K-12):  A comprehensive series of mathematical tasks that ask students to pick an option based on the popular "Would you rather...." series.  Highly engaging and content that spans all K-12 grade bands.

Visual Patterns

Utah Middle School Math Project (Grades 7-8): Inviting curriculum with enriching anchor tasks and activities.  Also included are pacing guides, teacher guides, and an in-depth explanation of the mathematics being taught.  All content is tied to math core standards and to the Mathematical Practices. 

Mathematics Vision Project (Grades 9-11):  Tasks to introduce and reinforce standards, tied to math core standards, teacher guides, spiraled assignments and honors content for each grade level.  

dy/dan by Dan Meyer (Grades 7-12):  3-Act Task resources with engaging video clips and teacher notes.  Dan's blog is highly informative and helps give educators ideas about how to effectively implement 3-Act Tasks.

DSD Math Task Folder (Grades 7-12):  Join our Dropbox folder that is a repository of the monthly math tasks that are emailed to every DSD Secondary Math Teacher.  (Join our email list here, all DSD Math Educators are automatically enrolled).

Performance Task Planning and Assessing

The Performance Task Planning and Assessing Guide is a tool that is to be used when planning and implementing a Performance Task (remember links for Performance Tasks can be found for every Priority Standard in the Content Pacing Guides).  The Planning guide below is best used as a grade band collaborative team to focus:

Learning Objectives
Mathematical Practice Alignment
Academic Vocabulary
Questioning
Anticipated Student Solutions
Grading Rubric
Rubric Alignment

For a printer friendly Performance Task Planning Guide and Rubric, click here.

 

Lindsey Henderson
K-12 Mathematics Specialist
Email: lhenderson@dsdmail.net
Twitter: @flippyfeets