Teaching Standards Washington State – Secondary Mathematics

Preparation for teaching the Common Core State Standards – Mathematics 5-12

Number and Quantity Domain

Overview

Mathematics teacher candidates must be able to use and describe multiple number systems and operations.  They must be able to use the number system to model real world situations.  They must be able to describe the problem solving process and justify their solution.  They will develop this understanding through successful completion of Linear Algebra, Abstract Algebra, Discrete Mathematics, and the Calculus series (Lab-based Sciences – Chemistry, Physics).

Numbers & Number Systems

Use, explain, and operate on integers, rational numbers, real numbers, and complex numbers.  Understand operations include addition, subtraction, multiplication, and division and that the communicative, distributive, and associative properties are consistent with their previous meanings.  Use, understand, and explain properties of exponents, including rational exponents and represent in radical form.  Understand the workings of matrix, vector, and complex number algebra.  Use technology, including calculators, spreadsheets, and computer algebra programs to manipulate these number systems.

 Quantities

Make sense of real world problems by reasoning quantitatively.  Use and explain measurements, unit conversions, and label solution with correct units.  Justify the problem solving process and solution in the context of the problem.

 Learning Targets (Indicators)

Teaching candidates will be able to:

• Use, explain, and operate on integers, rational numbers, real numbers, and complex numbers
• Model operations including addition, subtraction, multiplication, and division
• Demonstrate connections between their previous knowledge of the communicative, distributive, and associative properties and how they are consistent in more complex number systems
• Apply and explain properties of exponents, including rational exponents and represent in radical form
• Use matrices, vectors, and complex number algebras to solve problems
• Use and explain quantitative reasoning to solve problems including units of measure
• Use structures from many branches of mathematics to represent and manipulate number systems
• Use technology to explore and represent number systems

 

-Katelyn, Jenn, Casey