Probability & Statistics

Contents Page

Trigonometry

 

COURSE: STANDARD ALGEBRA

TOPIC: Real Number System

 

STAGE 1: IDENTIFY DESIRED RESULTS

Content Standard(s)

Generalizations about what students should know and be able to do

Established Goals:

 

CT Frameworks:

a)     The number system extends from the natural numbers to include integers, rational numbers, and real numbers.

b)     Properties of number systems are used to develop strategies for computation and estimation and judging the reasonableness of results.

c)     Multiplication, division, and power properties of exponents can simplify calculations with expressions.

d)     Proportional reasoning can be used to make predictions and describe relationships between variables.

 

 

NCTM Standards:

a)     Compare and contrast the properties of numbers and number systems including the rational and real numbers.

b)     Use number-theory arguments to justify relationships involving whole numbers.

c)     Develop fluency in operations with real numbers.  Using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases.

d)     Understands numbers, ways of representing numbers and relationships among numbers.

e)     e)  Understands and applies basic concepts of probability.

Enduring Understandings

Insights earned from exploring generalizations via the essential questions (Students will understand THAT…)

Essential Questions

Inquiry used to explore generalizations

 Students will understand that:

  1. The real number system has subsystems.

2.     The real number system is a mathematical field.

  1. There is specific order of operations in the real number system that must be followed for all computations.
  2. There are laws of integral exponents that are used to simplify and evaluate algebraic expressions.
  3. 5.  Mathematical operations apply to the real number system.
  1. What are the subsystems of the real number system?
  2. What are the field properties of the real number system?
  3. What is the order of operations for simplifying an algebraic or numerical expression?
  4. How do you use the laws of integral exponents to evaluate algebraic expressions?
  5. What are some operations that can be applied to the real number system?

Knowledge and Skills

What students are expected to know and be able to do

Students will know…

  1. The real number system has subsystems that include natural, whole, integers, and rational numbers.
  2. The field properties of the real number system.
  3. The order of operations (PEMDAS).
  4. The laws of integral exponents.

 

Students will be able to…

  1. Identify the subsystems of the real number system.
  2. List, identify, and use the field properties of the real number system.
  3. Use the order of operations to simplify numerical and algebraic expressions.
  4. Use the laws of integral exponents to simplify numerical and algebraic expressions.

 

STAGE 2: DETERMINE ACCEPTABLE EVIDENCE

Performance Task(s)

Authentic application in new context to evaluate student achievement of desired results designed according to GRASPS (Goal, Role, Audience, Setting Performance, Standards)