Depth of Knowledge (DOK) & Big Ideas Math

Webb’s Depth of Knowledge (DOK) provides a vocabulary and a frame of reference when thinking about our students and how they engage with the content. DOK offers a common language to understand “rigor,” and cognitive demand, in assessments, as well as curricular units, lessons, and tasks.


Level 1: Recall

Level 1 includes the recall of information such as specific facts, definitions,  and details, as well as routine procedures (perform a simple algorithm, provide/apply a formula, etc.).  The problem can be “difficult” without requiring deep content knowledge to respond to an item and (the problem) only has one right answer.

Some examples that represent but do not constitute all of Level 1 are:

  1. “Identify”
  2. “Recall”
  3. “Recognize”
  4. “Use”
  5. “Measure”
  6. “Multiply two numbers”

Big Ideas Math Level 1: Big Ideas Math High School; Algebra 1; Chapter 1, page 1.


Level 2: Skill/Concept

In Level 2, the focus is on applying skills and concepts, relationships, and main ideas and requires deeper knowledge than definition. Problems require students to explain how/why, and to make decisions on how to approach a problem or activity, whereas in Level 1, a student is asked to demonstrate, recognize, and preform an algorithm/problem.

Some examples that represent but do not constitute all of Level 2 are:

  1. “Classify”
  2. “Organize”
  3. “Estimate”
  4. “Collect and display data”
  5. “Compare data”

Big Ideas Math Level 2: Big Ideas Math High School; Algebra 2; Chapter 11.4, Exercise 12, page 624.


Level 3: Strategic Reasoning

In Level 3, the focus is on reasoning and planning in order to respond. Furthermore, problems require reasoning, planning, using evidence, and a higher level of thinking. Complex and abstract thinking is required and is often needed to provide support for reasoning or to draw conclusions drawn. In Level 3, more than one “correct’ response or approach is often possible. Certain activities and problems in Level 3 might include drawing conclusions from observations as well as requiring students to explain their thinking.

Some examples that represent but do not constitute all of Level 3 are:

  1. “Determine the equation and solve”
  2. “Interpret information”
  3. “Provide mathematical justification”

Big Ideas Math Level 3: Big Ideas Math High School; Geometry; Chapter 11.1, Exercise 39, page 600


Level 4: Extended Reasoning

In Level 4, the focus is requiring complex reasoning, planning, and thinking for the investigation. The cognitive demand of the task should be high and the work should be very complex with multiple steps. Students should be required to make several connections – relate ideas within the content area – and have to select one approach among several alternatives on how the problem should be solved. Level 4 activities include designing and conducting experiments, developing and proving, making connections, etc.

Big Ideas Math Level 4: Big Ideas Math; Blue, Chapter 8



Big Ideas Learning: Math Cartoons

As the school year approaches and you prepare your lessons for the new year, it’s time to start planning what decorations will go in your classroom. We’ve providing you with some wonderful cartoons that range from adding whole numbers to the probability of picking an object at random.


 To obtain and print a cartoon follow the steps:

  1. Visit our pinterest account (
  2. Find and click on the board, “Big Ideas Math Cartoons.”
  3. Click on the cartoon you would like to use in your classroom (make sure to click twice to get the full resolution image).
  4. Print!

We hope you enjoy the cartoons and look forward to seeing pictures of the cartoons in your classroom.




In The News: Why do honeybees love hexagons?

This great video from TED Ed explains the design of the beehive and why bees, specifically honeybees are some of nature’s finest mathematicians.Not only can they calculate angles and comprehend the roundness of the earth, these smart insects build and live in one of the most mathematically efficient architectural designs around: the beehive.

What do you think about honeybees and hexagons? Let us know in the comments section.

Job Posting: Sales Consultant Associates – Texas

Sales Consultant Associates – Texas

Larson Texts produces student-friendly, market-leading math textbooks for sixth grade through college calculus that are used by over five million students each year. Larson Texts has been deeply committed to providing innovative and coherent print and online materials to the education community for more than 30 years.  Larson Texts publishes its own textbooks through Big Ideas Learning.

Big Ideas Learning is looking for highly motivated Sales Consultant Associates.  Ideal candidates will work 30 hours per week calling on School Districts in Texas.  Our goal is to have a Sales Consultant Associate in each of the following areas:  Houston, Dallas, San Antonio/Austin, Midland/Odessa, and East Texas.

Essential Duties and Responsibilities:

  • Contact prospective schools to identify appropriate decision-maker, qualify, and drive leads through the sales pipeline.
  • Communicate with customer during the various stages of the sales process.
  • Respond to requests from customers for product information.
  • Conduct product presentations.
  • Learn about and maintain fluency with Big Ideas Math.
  • Deliver Math Materials to the customer
  • Assist with Exhibits
  • Prepare timely reports of sales activity and lead generation.

Requirements and Qualifications:

  • Ideal candidate will have Math Knowledge
  • Bachelor’s degree or higher. Math Degree a plus.
  • Exceptional written, oral, and presentation skills.
  • Experience in publishing a plus.
  • Duties for this position may require some travel with occasional over nights
  • Solid knowledge of Microsoft Word and Excel.
  • Must be able to lift and transport boxes of textbooks which can weigh up to 50 pounds

Please submit resume to

Big Ideas Learning: Social Media Recap – May

As this month raps up and we look to June, you may have missed some of our great blogs, links, pictures, and posts on Facebook. Big Ideas Learning recaps content posted throughout the month of May in this month’s Social Media Recap.


  1. Ending The Year On A Strong Note - “Teachers, don’t let your hard work fade as the school year closes and summer begins. Take and use these tips to help you reflect and plan for the new school year.”
  2. Guest Blog – Russ Webber “Math Geek, Part II” – “I am a Math Geek, and proud of it. I am going to strive to be the best Math Geek I can be.  I owe that to Big Ideas Math.”
  3. In The News: Flappy Math Saga

Helpful links & articles:

  1. Math and the Movies Resource List
  2. Things You Learn Your First Year Teaching
  3. SUMMER GAME – My Dear Aunt Sally
  4. Mathematical Practice Posters