JUNIOR HIGH

Make sense of problems and persevere in solving them

• Explain the meaning of a problem, look for a way to begin
• Analyze and make a plan
• Monitor progress and adapt
• Use various mathematical representations/tools to explain
• Find a solution pathway – does it make sense?
• Persevere & work hard to solve/attempt differentmethods

Reason abstractly and quantitatively

• Ability to abstract a given idea (turn it into numbers or variables)
• Explanations show careful reasoning and deep thinking
• Create a meaningfulrepresentation considering units involved
• Represent the problemwith symbols, graphs, tables, or functions
• Flexibly use different properties of operations
• Show understanding of numbers and the quantities they represent

Construct viable arguments and critique the reasoning of others

• Use prior learning to analyze situations

• Communicate conclusions & respond to arguments of others
• Use evidence and reasoning to create logical arguments
• Debate reasonableness of arguments without attacking
• Make connections among different ideas in math and between other subjects

Model with mathematics

• Can apply mathematics to everyday situations & real numbers
• Apply assumptions and approximations where appropriate
• Use a variety of math tools to map or diagram important relationships between quantities (flow charts, tables, and functions)
• Interpret results and possibly make improvements
• Ability to express scenarios in mathematical language and symbols and choose the best representation for each situation

Use appropriate tools strategically

• Awareness of math resources such as technology, concrete models or previous learning
• Be familiar with a wide variety of ways to represent & solve problems
• Use technological tools to deepen understanding
• Make deliberate choices of which math tool to use to best solve problems
• Strategically use estimation as a tool to solve and check work

Attend to precision

• Use clear definitions and accurate terminology in communication, state the meaning of symbols, specify units of measure, and calculate accurately
• Use complete and appropriate labels on graphical representations

Look for and make use of structure

• Make and test conjectures and make generalizations about ideas and methods
• Comfortably use numerical relationships to build understanding and flexibility with numbers
• Break complicated problems down into simpler components (solve an easier problem)
• Use previous knowledge of patterning/structure to help solve problems

Look for and express regularity in repeated reasoning

• Ability to use and recognize patterns to simplify solutions
• Recognize repeated calculations and how they relate to problem-solving strategies
• Keep the big picture in mind and attend to details
• Evaluate the reasonableness of the answer
• Explanations show deeper and broader understandings of math concepts