
Wisconsin's Math Standards with Benchmarks
AMME has aligned all of its handouts and labs with the Wisconsin Math Standards. The following is the complete list of the Wisconsin standards with their benchmarks.
Standard A: Mathematical Processes
A.12.1 Use reason and logic to
 evaluate information
 perceive patterns
 identify relationships
 formulate questions, pose problems, and make and test conjectures
 pursue ideas that lead to further understanding and deeper insight
A.12.2 Communicate logical arguments and clearly show
 why a result does or does not make sense
 why the reasoning is or is not valid
 an understanding of the difference between examples that support a conjecture and a proof of the conjecture
A.12.3 Analyze non routine problems and arrive at solutions by various means, including models and simulations, often starting with provisional conjectures and progressing, directly or indirectly, to a solution, justification, or counterexample
A.12.4 Develop effective oral and written presentations employing correct mathematical terminology, notation, symbols, and conventions for mathematical arguments and display of data
A.12.5 Organize work and present mathematical procedures and results clearly, systematically, succinctly, and correctly
A.12.6 Read and understand
 mathematical texts and other instructional materials
writing about mathematics (e.g., articles in journals) mathematical ideas as they are used in other contexts
Standard B: Number Operations and Relationships
B.12.1 Use complex counting procedures such as union and intersection of sets and arrangements (permutations and combinations) to solve problems
B.12.2 Compare real numbers using
 order relations (>,<) and transitivity
 ordinal scales including logarithmic (e.g., Richter, pH rating)
 arithmetic differences
 ratios, proportions, percents, rates of change
B.12.3 Perform and explain operations on real numbers (add, subtract, multiply, divide, raise to a power, extract a root, take opposites and reciprocals, determine absolute value)
B.12.4 In problem solving situations involving the application of different number systems (natural, integers, rational, real) select and use appropriate
 computational procedures
 properties (e.g., commutativity, associativity, inverses)
 modes of representation (e.g., rationals as repeating decimals, indicated roots as fractional exponents)
B.12.5 Create and critically evaluate numerical arguments presented in a variety of classroom and real world situations (e.g., political, economic, scientific, social)
B.12.6 Routinely assess the acceptable limits of error when
 evaluating strategies
 testing the reasonableness of results
 using technology to carry out computations
Standard C: Geometry
C.12.1 Identify, describe, and analyze properties of figures, relationships among figures, and relationships among their parts by
 constructing physical models
 drawing precisely with paperandpencil, hand calculators, and computer software
 using appropriate transformations (e.g., translations, rotations, reflections, enlargements)
 using reason and logic
C.12.2 Use geometric models to solve mathematical and real world problems
C.12.3 Present convincing arguments by means of demonstration, informal proof, counterexamples, or any other logical means to show the truth of
 statements (e.g., these two triangles are not congruent)
 generalizations (e.g., the Pythagorean theorem holds for all right triangles)
C.12.4 Use the twodimensional rectangular coordinate system and algebraic procedures to describe and characterize geometric properties and relationships such as slope, intercepts, parallelism, and perpendicularity
C.12.5 Identify and demonstrate an understanding of the three ratios used in right triangle trigonometry (sine, cosine, tangent)
Standard D: Measurement
D.12.1 Identify, describe, and use derived attributes (e.g., density, speed, acceleration, pressure) to represent and solve problem situations
D.12.2 Select and use tools with appropriate degree of precision to determine measurements directly within specified degrees of accuracy and error (tolerance)
D.12.3 Determine measurements indirectly, using
 estimation
 proportional reasoning, including those involving squaring and cubing (e.g., reasoning that areas of circles are proportional to the squares of their radii)
 techniques of algebra, geometry, and right triangle trigonometry
 formulas in applications (e.g., for compound interest, distance formula)
 geometric formulas to derive lengths, areas, or volumes of shapes and objects (e.g., cones, parallelograms, cylinders, pyramids)
 geometric relationships and properties of circles and polygons (e.g., size of central angles, area of a sector of a circle)
 conversion constants to relate measures in one system to another (e.g., meters to feet, dollars to Deutschmarks)
Standard E : Statistics and Probability
E.12.1 Work with data in the context of real world situations by
 formulating hypotheses that lead to collection and analysis of one and two variable data
 designing a data collection plan that considers random sampling, control groups, the role of assumptions, etc.
 conducting an investigation based on that plan
 using technology to generate displays, summary statistics, and presentations
E.12.2 Organize and display data from statistical investigations using
 frequency distributions
 percentiles, quartiles, deciles
 line of best fit (estimated regression line)
 matrices
E.12.3 Interpret and analyze information from organized and displayed data when given
 measures of dispersion, including standard deviation and variance
 measures of reliability
 measures of correlation
E.12.4 Analyze, evaluate, and critique the methods and conclusions of statistical experiments reported in journals, magazines, news media, advertising, etc.
E.12.5 Determine the likelihood of occurrence of complex events by
 using a variety of strategies (e.g., combinations) to identify possible outcomes
 conducting an experiment
 designing and conducting simulations
 applying theoretical probability
Standard F : Algebraic Relationships
F.12.1 Analyze and generalize patterns of change (e.g., direct and inverse variation) and numerical sequences, and then represent them with algebraic expressions and equations
F.12.2 Use mathematical functions (e.g., linear, exponential, quadratic, power) in a variety of ways, including
 recognizing that a variety of mathematical and real world phenomena can be modeled by the same type of function
 translating different forms of representing them (e.g., tables, graphs, functional notation, formulas)
 describing the relationships among variable quantities in a problem
 using appropriate technology to interpret properties of their graphical representations (e.g., intercepts, slopes, rates of change, changes in rates of change, maximum, minimum)
F.12.3 Solve linear and quadratic equations, linear inequalities, and systems of linear equations and inequalities
 numerically
 graphically, including use of appropriate technology
 symbolically, including use of the quadratic formula
F.12.4 Model and solve a variety of mathematical and real world problems by using algebraic expressions, equations, and inequalities
Why Wisconsin Standards? 
See how AMME's handouts and labs are
matched with the Wisconsin Standards for:

This material is excellent. I teach students with Learning Disabilities and because you have provided a lot of hands on labs and easy step by step instructions my students have been successful. I think this material would be an excellent market for students with Disabilities. Just something to think about.
Mark Heck
Ashwaubenon High School
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