Mathematics
rigor
Math instruction should include a balance of concept, process, skill, and answers.
Rigor is a balance.
Rigor Defined
Conceptual Understanding:

Students "truly" understand grade level concepts. This is shown by their ability to elicit conversation, identify relationships, and create multiple representations of the concept.

Procedural Skill & Fluency:

Students are able to solve problems quickly and accurately. Problem solving strategies are based on mathematical principles, instead of mnemonics and tricks.

Application:

Students are able to solve single and multi step contextual problems. This requires students to make certain assumptions in order to model situations.

Conceptual understanding, procedural skill & fluency, and application provide the perfect platform to allow students to focus on an emphasis of Mathematical Reasoning.
Construct Viable Arguments:

Achieving rigor means that students are able to think indiependently. This is shown through classroom discussion and written work. Students are able to formulate cohesive arguments, critique arguments, and engage in error analysis tasks. Students should be engaged in these types of tasks 20 25% of the time.

Specialized Language

The language or argument, problemsolving, and mathematical explanations must be taught, rather than assumed. Specialized language is found within the language of the Standards. Students must also be taught the "Language of Representations" (diagrams, tables, graphs, expressions, drawings, images, text).

Required fluencies
Kindergarten

Add / subtract within 5

1st Grade

Add /subtract within 10

2nd Grade

Add / subtract withing 20 (singledigit sums from memory)
Add / subtract within 100 
3rd Grade

Multiply / divide within 100 (singledigit products from memory)
Add / subtract within 1000 
4th Grade

Add / subtract within 1,000,000

5th Grade

Multidigit multiplication

6th Grade

Multidigit division
Multidigit decimal operations 
Resources
Question Bubbles

Can you tell me your strategy?
Have we seen a problem like this before? Where? When? Can anyone solve it a different way? Would you share how you got that answer? What did you do differently? 
K5 Critical Areas Checklist
