Download MRWC Notes 2.A

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MRWC 2.A Notes: Rational Numbers
Lesson Objective: Define rational numbers,
model rational numbers graphically, and give
rational representations of numbers.
CCSS: A.APR.7
You will need: graph paper, ruler
Lesson 1: Defining Rational Number
Rational Number: Any number that can be
represented as the ratio or quotient of
integers.
Q: The set of numbers that have the form
𝑎
where a and b are integers and b ≠ 0.
𝑏
Multiplicative Inverse: The reciprocal of a nonzero number a, such that when multiplied by a
gives the multiplicative identity.
Lesson 2: Modeling Rational Numbers
Graphically
Graph the solutions.
A.
3x = 5
B.
-
6
x
5
=4
Lesson 3: A Rational Discussion
Explain why each of the following numbers is a
rational number by finding a rational equivalent.
A.
B.
C.
D.
0.25
-7
5.9%
(-2)-3
E. -
F.
2
18
log 2 16
G. cos
2π
3
Lesson 4: Activity 2.A.1
Decide whether the set of rational numbers
Q is closed under each of the following
operations. Be sure to justify each of your
conclusions.
A. Addition
Lesson 4: Activity 2.A.1
Decide whether the set of rational numbers
Q is closed under each of the following
operations. Be sure to justify each of your
conclusions.
B.
Division (for non-zero numbers)
Lesson 4: Activity 2.A.1
Decide whether the set of rational numbers
Q is closed under each of the following
operations. Be sure to justify each of your
conclusions.
C.
Square rooting
2.A: Do I Get It? Yes or No
1. Graph 3x = 8.
2. Decide whether the set of rational numbers Q is closed under each of the following
operations. Be sure to justify each of your
conclusions.
A. Subtraction
B. Squaring
3. Explain why each of the following numbers
is a rational number.
A.
9
4
B.
log 10
C.
π
sin²
4
2.A: Homework
1. Graph. A. 7x = 9
B. -½x = 5
2. Decide whether the set of rational numbers Q is closed under each of the following
operations. Be sure to justify each of your
conclusions.
A. Multiplication
B. Averaging
C. Reciprocal (for non-zero numbers)
3. Explain why each of the following numbers
is a rational number.
3
A. 3½
B.
−27
C. 0
D. 5 ÷ 3
F. log 4 2