K-12 Mathematics
Welcome to mathematics
Davis School District's Goal for mathematics consists of three parts:
To support mathematical learning in the classroom as it attends to the Standards for Mathematical Practice
Leinwand, S., et al. (2014), Principles to Actions: Ensuring Mathematical Success for All. Reston, VA: National Council of Teachers of Mathematics, Inc.
To support mathematical teaching in the classroom as it attends to the Mathematics Teaching Practices:
Leinwand, S., et al. (2014), Principles to Actions: Ensuring Mathematical Success for All. Reston, VA: National Council of Teachers of Mathematics, Inc.
To strengthen mathematical learning and cultivate positive student mathematical identities:
- Going deep with mathematics.
- Leveraging multiple mathematical competencies.
- Affirming mathematics learners' identities.
- Challenging spaces of marginality.
- Drawing of multiple resources of knowledge.
Aguirre, J., Mayfield-Ingram, K., and Martin, D. (2013) The Impact of Identity in K-8 Mathematics: Rethinking Equity-Based Practices. Reston, VA: National Council of Teachers of Mathematics, Inc.
K-12 Math Educators
- DESK Standards and Priority Standards
- Personalized Learning and SBL Tools
- Mathematical Task Bank
- Core Guides
- District Guides and Resources
- Distance Learning Tools
- Elementary Math
- Secondary Math
DESK Standards and Priority Standards
DESK/Priority Standards (and Vertical Alignment)
Kindergarten Math DESK/Priority Standards
1st Grade Math DESK/Priority Standards
2nd Grade Math DESK/Priority Standards
3rd Grade Math DESK/Priority Standards
4th Grade Math DESK/Priority Standards
5th Grade Math DESK/Priority Standards
6th Grade Math DESK/Priority Standards
Math 7 DESK/Priority Standards
Math 8 DESK/Priority Standards
Secondary Math I DESK/Priority Standards
Secondary Math II DESK/Priority Standards
Secondary Math III DESK/Priority Standards
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Content Pacing Guides
Kindergarten Math Pacing Guide
1st Grade Math Pacing Guide
2nd Grade Math Pacing Guide
3rd Grade Math Pacing Guide
4th Grade Math Pacing Guide
5th Grade Math Pacing Guide
6th Grade Math Pacing Guide
Math 7 Pacing Guide
Math 8 Pacing Guide
Secondary Math I Pacing Guide
Secondary Math II Pacing Guide
Secondary Math III Pacing Guide
Elementary Math Priority Standard Aligned Task Bank
Secondary Math Pacing Guides have Priority Standards aligned and linked to tasks embedded in the Pacing Guide.
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Proficiency Scales
Kindergarten DESK/Proficiency Scales
1st Grade DESK/Proficiency Scales
2nd Grade DESK/Proficiency Scales
3rd Grade DESK/Proficiency Scales
4th Grade DESK/Proficiency Scales
5th Grade DESK/Proficiency Scales
6th Grade DESK/Proficiency Scales
Math 7 DESK/Proficiency Scales
Math 8 DESK/Proficiency Scales
Secondary Math I DESK/Proficiency Scales
Secondary Math II DESK/Proficiency Scales
Secondary Math III DESK/Proficiency Scales
High-quality Rubric Generator for non-priority standards (don't forget to include a Mathematical Practice as well).
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Personalized Learning and SBL Tools
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
Mathematical Task Bank
Which One Doesn't Belong (Grades K-12+): a bank of visual, open-ended sets where you justify "which one doesn't belong." Can you or your students come up with a justification for each selection presented?
NCTM Problems of the Week by NCTM (Grades K-12+): a bank of high-quality mathematical problems curated by the National Council for the Teachers of Mathematics.
Maths Venn fun and engaging puzzle-like math Venn Diagrams!
Task Search Engine by Robert Kaplinsky (Grades K-12): A search engine linked to over 25 rich mathematical task resources that allows you to enter a keyword and returns a curated list of high-quality tasks.
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.
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 all Secondary Math DSD Educators are automatically enrolled).
Core Guides
- Mathematics Focus by Grade Level: (K-8) A deep focus on the major work in each grade level so that students can build a strong mathematical foundation. These core guides are visually appealing and allow you to see major topics (green square), supporting topics (blue square), and additional work (yellow circle) organized by grade level.
- University of AZ Progressions Documents: (K-12) A narrative, which includes visual solution strategies that students may have encountered in prior grades. These documents are in-depth and contain a lot of detail about the progression of major topics in elementary and secondary math education.
- USBE Core Guides: (K-12) A high level explanation of Utah-specific mathematics standards, including links to standards that students should come to class knowing and links to Utah standards that have yet to be learned. Additionally, these documents contain links for curriculum resources that have been vetted by the USBE Mathematics Department.
District Guides and Resources
Top 5 (+1) Recommended Davis School District Digital Tools:
For a printer-friendly version of this flyer.
Links to the recommended Digital Tools:
DreamBox**
ST Math**
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"Coffee with Linds" Distance Learning Tools:
Supplemental Co-Requisite Math
NCTM Mathematics Learning in the Era of COVID-19
Article - Never Say Anything a Kid Can Say
Article - Justification as an Equity Practice
New Elementary Teacher Orientation
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Learn about the Davis School District Mathematics Learning Cycle:
Learn how to support SEL in the Mathematics Classroom:
Distance Learning Tools
Elementary Remote Learning Math Routine and Digital Tool Suggested Use- Do you wonder how to structure the 20-40 minutes of remote learning time so that you can get the maximum impact on student learning and engagement with mathematics? This document is for you!
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Secondary Remote Learning Math Routine and Digital Tool Suggested Use- Do you wonder how to structure your 40 minutes of remote learning time so that you can get the maximum impact on student learning and engagement with mathematics? This document is for you!
Elementary Math
- Intervention and Drill Down Tools
- Investigations Curriculum
- 2nd - 6th Advantage Math Curriculum
- Math Endorsement
- STEM Olympiad
Intervention and Drill Down Tools
Mathematics Interventions Slideshow
Pre-Teaching and Learning Supports
Learner Profiles - Anticipate what kinds of supports your individual students will need in order to access on grade-level mathematical rigor.
For a printer friendly copy of this form
Considerations to take prior to implementation of a "Drill Down":
- “Drill Downs” or Math Inventories should have pieces that address quadrants A-D of the Rigor and Relevance Framework, put another way there needs to be a balance between conceptual understanding questions and procedural fluency. Too often Math Inventories live in quadrant A or procedural fluency and that does not give a robust picture of mathematics knowledge. A wonderful way to incorporate B-D quadrants is having conversations with students in context of a math problem or math strand or a math task where you can assess student academic vocabulary usage and probe conceptual understanding topics through questioning. For example, giving a student a well-planned math task and then questioning to uncover what the student knows or where there are gaps in conceptional understanding (A great resource for planning a math task can be found on this website under Resources for Educators --> Professional Development --> Book Studies --> 5 Practices.
- “Drill Downs” or Math Inventories should be limited to the 3-4 Priority Standards for each grade level. Priority Standards can be found on this website under Resources for Educators --> DESK Standards --> USBE Priority Standards.
- “Drill Downs” or Math Inventories should be targeted and given to a select number of students who have been identified through formative assessments or classroom interactions as needing a Tier II intervention. It is a misuse of resources to administer a “Drill Down” or Math Inventory to an entire school at once—this also has negative ramifications to a student’s mathematical identity which research has shown over and over again to be an integral piece of student mathematical success (a wonderful resource for this topic).
- On average there should be at most 4 students per grade level who require a Tier II support that necessitates data from a “Drill Down” or Math Inventory, if there are more than 4 students per grade level who require a Tier II support, that is an indicator that Tier I pedagogy and instruction needs to be closely revisited and revised.
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.
To "drill down" using the Math Reasoning Inventory (MRI), follow this link and set up an account. This is a dialogue-dependent tool that allows you a complete window into mathematical knowledge. The MRI is robust and nationally normed!
To "drill down" using the Coherence Maps:
- Access the Coherence Map
- Navigate to the grade level, strand, and standard of concern
- Click "Map Standard"
- Look at related and supporting standards to the left, identify possible problem areas
- 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:
- Use the Coherence Map to drill down to the student's high-level of proficiency.
- Locate the Core Guide for the grade level and standard that was identified in the drill down (found under DESK Standards above).
- Use the suggested strategies and models on the Core Guide as targeted interventions during small group instruction.
Investigations Curriculum
Access
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
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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
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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.
Model Lessons
View Investigations in action in a Davis classroom.
Kindergarten- Anjanette McNeely, Lincoln Elementary
First grade- Stacey Osborne, Syracuse Elementary
Supplemental Curriculum
2nd - 6th Advantage Math Curriculum
Access
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.
The DESK for Teachers folder on OneDrive can be accessed through your Office 365 account. In this folder you can access both the PDF and iBook versions:
How to Access Advantage Math Curriculum
- 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.
Some of the curriculum has been updated as of 6/1/2020--check the dates next to the documents in each of the folders.
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
This can no longer be accessed through iTunesU.
To download Advantage Math to your iPad, follow these instructions. Click Here
Materials
Imagine Learning
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.
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.
If you are interested in beginning or continuing your elem math endorsement, please fill out this form.
The schedule is as follows:
- Fall 2021 -- MTHE 6740 (Numbers and Operations)
- Spring 2022 -- MTHE 6750 (Rational Numbers)
- Summer 2022 -- MTHE 6760 (Algebraic Reasoning)
- Fall 2022 -- MED 6730 (Assessment)
- Spring 2023 -- MTHE 6780 (Probability, Data, and Problem Solving)
- Summer 2023 -- MTHE 6770 (Geometry and Measurement)
Dates and times TBD.
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.
STEM Olympiad
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 17, 2022 at Central Davis Junior High.
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There will be two sessions that day, one in the morning and one in the afternoon.
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Each session will last approximately 2.5 hours, 9:30-12:00 or 12:10-2:30.
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Your school will be assigned one session to attend.
Transportation
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Busing will be provided by the District. We will notify you of your bus schedule.
Chaperones
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One teacher will need to accompany students from each grade level.
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Parents are not to chaperone students.
Meet the Directors
Math Olympiad Director
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Cynthia Price (cprice@dsdmail.net)
Science Olympiad Directors
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Sonya Nelson (SNELSON@dsdmail.net)
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Lucci Hoch (lhoch@dsdmail.net)
STEM Olympiad Events
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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.
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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!
Math | Science |
Logic Grid Puzzles | Circuit Creation |
Krypto | Ping Pong Parachute |
Soma Cubes | Sphero |
Student Teams
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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.
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Students may participate in more than one event if desired, but it is not mandatory.
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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.
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Please do not bring your entire class to the Olympiad. Only students competing in the Olympiad are invited to attend.
Competition and Awards
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Students will compete against students on their same grade level from other schools.
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Scores will be tabulated at the end of each event and winners will receive their awards.
Secondary Math
Parents of K-12 Mathematicians
- How to Support Your Mathematician
- Learn With Us!
- Student Acceleration
- Summer Resources
- Elementary Curriculum Access
- Secondary Math Pathways
How to Support Your Mathematician
Professor Jo Boaler of Standford University recommends these research-based best practices for parents to support their Mathematics learner at home:
For a printer-friendly copy (also available in Spanish)
Article highlighting Parental Support of Productive Struggle when assisting students with homework.
Learn With Us!
Student Acceleration
Mathematics Acceleration Options
About ten percent of students are candidates for acceleration as they enter junior high, and Davis District strives to identify and support them where appropriate.
The DESK Standards have been carefully structured to emphasize certain concepts during specific courses, therefore students may not ‘skip’ a math course as this would put them at a disadvantage in future courses. Davis District supports a variety of paths for acceleration. Please refer to the Secondary Math Course Progressions tab.
Accelerated students should take math every year while in high school. Data shows that students who accelerate and then sit out a year of math in high school lose the advantage of acceleration. The purpose of acceleration should be to enable students to take additional advanced math courses while in high school rather than complete the requirements early. Data shows that there is a negative effect on mathematical knowledge when students miss a year of math classes before high school graduation.
Please contact the junior high school that your student will attend during the 2021-2022 school year for registration information.
Summer Resources
In Davis School District, we strive to give students every opportunity to engage with mathematics like an actual mathematician would—wondering, asking questions, mathematical sense making, and calling on the math community to give and offer feedback to strengthen claims! With this end in mind, we have been busy curating a summer math experience for K-12 math families who are interested in keeping their math skills sharp over the summer but who do not want to commit to a “for-credit”, full-year summer math course. The program consists of nine deeply engaging and rigorous math tasks with the following rules:
- Each task should take 4-5 days of 10-20 minutes each. Set a timer (or watch a clock) and work on the task for no longer than 20 mins per day.
- You may pick a task to work on--there is no order, choose something that looks interesting or something that makes you think! There are enough tasks for 9 weeks of mathing!
- I encourage you to work on the task with a sibling or a neighbor or a friend. If you prefer to work alone that is fine too!
- I encourage you to draw pictures, to use tools (like a calculator), and to use models (like base-10 blocks, algebra tiles, or dual-sided counters) to help you make sense of the task.
This course is grade-level content agnostic and focuses instead on developing the Student and Teacher Mathematical Practices (which are found in every level of the Utah State Core Curriculum from K – 12). If students are interested in participating, they can fill out this form.
Access to printer-friendly copies of the Summer Math Tasks:
Elementary Curriculum Access
K-1st Investigations Access
2nd - 6th Advantage Math Access
Parents can access resources for K-6 math curriculum two different ways:
- 2-6 Mathematics OneDrive: To log in, use your student's email address & PIN number as the password.
- MyDSD: Follow these instructions to access resources through MyDSD
Secondary Math Pathways
MATHEMATICS SPECIALISTS
K-12 Math Supervisor
Trish Syversen
Email: tsyversen@dsdmail.net
Phone: 801-402-5288
Elementary
Celeste Harding Jennifer Walker
Email: charding@dsdmail.net Email: jennwalker@dsdmail.net
Phone: 801-402-5277 Phone: 801-402-5270