Proportional Reasoning
Definition: Ratioa comparison of two numbersa/b or a:b (b cannot equal zero).
A 1 to 2 ratio of males to females means that the number of males is the number of
females or there
Introduction to Decimals
Consider 12.61843
1tens place
2units place
6tenths place
1hundredths place
8thousandths place
4ten-thousandths place
3hundred-thousandths place
Use base 10 blocks:
In General
Multiplication and Division of Rational Numbers
Two types of multiplication problems
1. Whole number times a fraction
4
3
5
1
2
6
1
4
3
2. Fraction times a fraction
My husband has 3/4 of an acre of la
Percents
What is Percent?
n%
6%
1%
n
100
6
100
1
.01
100
100%
100
1
100
200%
200
2
100
Do Activity 9What does it mean?
-estimate percentages first
-check with grid
-complete first page
3
n
5 100
?-iSson
r( X>s)
,A^= z f
*
=
t*r*"J
X=
*rrytntilsfi*
= b (Esr*ods
l- ?(v*+)
I - [i,f*-)t
L
trfx=r) +Fr#
*=z)
+F
ti
+ ycfw_x= +)J
= l-lr'lr +"-t6'l
L-A,
TI
= t ;'[ #,.tr
cfw_.# cfw_t
J
;
0,+ls
S 0u*e,.
The Set of Rational Numbers
N = cfw_1, 2, 3, 4, .
W = cfw_0, 1, 2, 3, 4, .
I = cfw_., -4, -3, -2, -1, 0, 1, 2, 3, 4, .
Problem: I have a cake to share equally among 4 people. How much of the cake does
Real Numbers
Irrational numbers
What about a square with area 2?
The side length is now 2 and 2 is not a rational number! The decimal does
not repeat nor does it terminate.
3
.75
4
2
.6
3
2 1.14213562