Standards for Mathematical Practice
and
Career and Technology Education (CTE)
Standards for Mathematical Practice
1. Make sense of problems and persevere in solving them
2. Reason abstractly and quantitatively
3. Construct viable arguments and critique the reasoning of
others
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning
Accounting Academy
Business Management Academy
Marketing Academy
Examples of activities from Business
which support the
Standards for Mathematical Practice
•Reason abstractly and quantitatively-determine the cost of the
transaction based on standard billable hours formulas,
tax reform, and government restructuring strategies.
•Model with mathematics-compare the prices of a car purchased within a simple interest,
compound interest or price rebate model of payment.
•Attend to precision- enter data into an accounts receivable file during an accounting
simulation and correct any errors.
•Look for and express regularity in repeated reasoning- compare and contrast the bond
market, commodities market, international currency markets and precious metals as
investments. Explain how these markets respond interdependently to changes among
each other.
Computer Science
Examples of activities from Computer Science
which support the Standards for Mathematical Practice
•
Make sense of problems and persevere in solving them - design, test, and debug JAVA
programs to solve problems.
•
Construct viable arguments and critique the reasoning of others - propose, write and
defend your software engineering design for a program that will enable a Mindstorm
programmable Lego robot to sort marbles.
•
Use appropriate tools strategically – read a case study and determine which SQL
database management tools software will require the least training time to learn.
•
Look for and make use of structure - determine the type of array structures that might
be useful in storing a specific set of data.
Career Research And Development
CRD
Examples of activities from Career Research & Development (CRD) which
support the Standards for Mathematical Practice
1. Make sense of problems and persevere in solving them
Conduct a class-wide month long home
budgeting simulation using local salary, housing
and cost of living research data.
2. Reason abstractly and quantitatively
Make a long term financial plan that includes
projected salary, housing and cost of living,
retirement costs, and college costs.
7. Look for and make use of structure
Using data from your Myers Briggs Temperament
Indicator (MBTI), assemble a team you would love to
work with and one that would be your worst nightmare.
Culinary Science
Examples of activities from Culinary Science which
support the Standards for Mathematical Practice
• Make sense of problems –
convert the yield of a recipe from
six to fifty using the appropriate
mathematical operations.
• Construct viable arguments and
critique the reasoning of otherscalculate unit prices in order to
cost a banquet menu and justify
the budget needed.
• Attend to precision-calculate the
yield percent from the aspurchased weight and edible
portion quantity of a fruit or
vegetable.
• Look for and express regularity in
repeated reasoning-use kitchen
ratios to calculate ingredient
quantities for standard recipes.
Technology Education
Examples of activities from
Technology Education
which support the
Standards for Mathematical
Practice
•
Reason abstractly and
quantitatively - select the right
materials that can withstand
the shear and bending load
limits on structural elements
and buildings.
•
Construct viable arguments
and critique the reasoning of
others - design a process to
make a cooling system more
energy efficient.
•
Look for and express regularity
in repeated reasoning troubleshoot a design problem.
Teacher & Child Development
Academies
Examples of activities from the Teacher Academy and Child Development
Academy which support the Standards for Mathematical Practice
1.
• Construct viable arguments and
critique the reasoning of others –
use research data to support an
argument against a specific
educational practice.
• Model with mathematics –think
aloud when using mathematical
reasoning to create an equitable
distribution of toys in the
classroom.
Make Sense of developmental Problems and
Persevere in solving them by monitoring vital
signs and milestone data.
• Look for and make use of
structure – incorporate math
manipulatives when creating a
lesson plan introducing fractions.
• Look for and express regularity in
repeated reasoning – match
students’ answers to expected
responses in Piaget’s Concrete
Operations stage.