Thursday, May 21, 2015

Mathematical Standards and Points of Importance

Mathematical Standards

1.     Make sense of problems and persevere in solving them
a.     Making sense and putting meaning to the problem
b.     Planning ways to come up with a way to start the problem
c.      Doing similar problems using the same strategy/plan
d.     Being able to explain/make sense of all the data and figures
e.     Can check the problem’s answer using a different method
2.     Reason abstractly and quantitatively
a.     Being able to demonstrate the problem with symbols, manipulate and rearrange them to get the answer needed
b.     Creating the representation
                                               i.     Quantities for each symbol
                                              ii.     Understanding what means what
3.     Construct viable arguments and critique reasoning of others
a.     Being able to see which arguments are correct and which are flawed
b.     Using manipulates to support their argument
                                               i.     Drawings, objects, charts, etc.
c.      Making sense of others arguments and knowing if they make sense
d.     Being able to ask questions
4.     Model with mathematics
a.     Using real life examples to solve the problem or applying the problem to real life examples
                                               i.     Knowing what type of equations/mathematical domain can be used where
b.     Making situations practical and applying quantities
c.      Making sense of the problem and improving models when needed
5.     Use appropriate tools strategically
a.     Being able to select the proper tools needed to solve the problem
                                               i.     Knowing what to use when
b.     Being able to research to figure out what is needed to solve the problem
                                               i.     Technology tools
6.     Attend to precision
a.     Communicating their reasoning clearly and able to explain definitions of symbols and definitions
b.     Units of measurement is written or expressed
7.     Look for and make use of structure
a.     Recognizing patterns
b.     Using the various properties appropriately
c.      Change perspective being used to view/work on the problem
8.     Look for and express regularity in repeated reasoning
a.     Noting repetition
                                               i.     Looking for shortcuts

b.     Noticing patterns and applying those findings on the reset of the problem

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