Download Direct Instruction Model

Direct Instruction Model
Teacher: Theresa Cojohn
Lesson: 1-2 Properties of Real Numbers
Subject: Algebra 2
Date: 9/7/07
Block: a & B
Students will engage in:
independent activities
cooperative learning
visuals
peer tutoring
simulations
pairing
hands-on
whole group instruction
centers
a project
technology integration
lecture
other:
Standards/Objectives Met: Students will be able to classify real numbers. Students will be able to use the
properties of real numbers to evaluate expressions.
Time
Procedure Followed
Class Starter: Text page 10 #52 & 57
Review of Previously Learned Material: In Lesson 1-1, students simplify
and evaluated expressions. In this lesson, they broaden those skills to
include using the real numbers and applying the commutative, associative,
identity, inverse, and distributive properties of real numbers.
Homework: Go over the answers verbally. Make sure to check all homework
in folder. Remind students to correct any wrong answers and give time for
questions.
Presentation of New Material: Overhead notes. Use a flow chart to
describe the properties of real numbers. Have the students fill in the
definitions. Is there an easy way to remember all the categories? Reminder
that the square root is either rational or irrational. Properties of real numbers
are presented in a table form. Remind students of the link between the
inverse and the identity.
Guided Practice: Use the attached worksheet and go through the properties
together/
Independent Practice: Text page 15 # 4-12
Wrap Up/Lesson Review: Use wrap-up board to create the venn diagram
on page 12.
Present Closure
Homework Given: 1-2 Skills practice #1-22
Test/Quiz Date: Friday, September 14, 2007
Teacher Notes:
Materials/Text
References
Text page 10
Overhead, attached
worksheet, text
worksheet
Text page 15
Objective: Students will be able to classify
real numbers and sue the properties of real
numbers to evaluate expressions.
Fill in the definition under each term.
Real Numbers
Rational Numbers
Natural
Numbers
Whole
Numbers
Irrational Numbers
Integers
The square root of a
number is either rational
or irrational. Ex. 36 =6
which is rational but
is irrational
Property
The Properties of Real Numbers
Addition
a+b=b+a
Multiplication
a*b=b*a
(a+b)+c=a+(b+c)
(a*b)*c=a*(b*c)
a+0=a
a*1=a
a+ (-a) = 0
a*(1/a)=1
Commutative
Associative
Identity
Inverse
Distributive
a(b+c)=a*b+a*c
35
1. Classify each number as rational or irrational. If the number is rational, then
classify it as a whole number, integer and natural number.
Number
Rational
(Q)/Irrational (I)
Whole(W)/Natural(N)/Integer(Z)
a. 9
b. 3
c. 4/5
d. 3. 3 3
e. 0
f. -31
g. -0.0101
h. 12/2
i. 100
2. Write the property associated with each expression. Then describe why.
Expression
a. 9x+(-9x)=0
Property
Why?
b. (3*4)*25=3*(4*25)
c. -9xy+0=-9xy
d. (-11/5)(-5/11)=1
e. -6(3+x)=-18+-6x
f. x*1=x
g. 9*r=r*9
3. Name the additive and multiplicative inverse for each number.
a. 10
b. -5
c. ½