Download SMART Notebook - Germantown Bulldogs

Solving Propor
on
Oct. 22nd
Cross Product are equal
3 = 6
8
16
Propor
on: two equal ra
= 48
= 48
To Solve:
*cross mul
pl
*set up an equa
o
*solve the equa
o
5 = n
7
10
1
Oct. 29th
Similar Polygons
Similar Polygons:
*two polygons with the same shape!!
The angles are congruent!!
The sides are propor
onate!
2
Nov. 1st
Indirect Measurement
Match the corresponding sides
Set up a propor
o
n
Solve the propor
o
5.
24 .
shadow
3.
shadow
3
Nov. 2nd
Dila
o
Dila
on: Enlargement or Reduc
Scale Factor:
Proper Frac
o is a reduc
o
Number greater than 1 is an enlargement
4
Nov. 13th
Ra
os and Percent
Ra
o: "Frac
on", "Colon", "out of", "t
Percent: a ra
o "out of" 10
5
Nov. 14th
Frac
ons, Decimals, Percent
1 = 100%
Percent
Decimal
Move decimal point TWO places to the LEFT!
Decimal
Percent
Move decimal point TWO places to the RIGHT!
Frac
on
Percen
Use a Percent Propor
o
6
"What Number" Problems
Nov. 15th
What number
n
is
=
of
What percent
n
What
n
Find
n=
Subs
tute the symbol for the word
Solve the equa
o
.
EXAMPLES:
What percent of 64 is 16?
95 is 95% of what number
What is 17.2% of 350
Find 5.8% of 42
Find 35% of 200
120 is what percent of 360
225 is 95% of what number
What percent of 27 is 12
57 is 13.5% of what number
7
Compute Mentally
Nov. 19th
1%: move decimal point two places to the left
10%: move decimal point one place to the left
Compute Mentally:
Think: DDMN
divide denominator mul
ply numerato
20% of 45
8
Nov. 28th
Percent and Es
ma
Compa
ble Numbers: two numbers that go into each other evenl
Es
mate means about
:approximately equal to
Es
mate Percents of Number
19% of 30
25% of 41
65% of 76
Es
mate Percent
8 out of 25
7 out of 57
14 out of 25
89 out of 121
9 out of 25
7 out of 79
HW
PG 230
#12‐36 even
9
Nov. 29th
More What Number Problems
What is 40% of 90?
15% of what number is 30?
45 is what percent of 150?
What percent of 5000 is 6?
50 is 10% of what number?
Find 240% of 84?
1.8% of what number is 40?
360 is what percent of 270?
What is 12.5% of 92?
HW
pg 234
#8‐24 even
10
Dec. 3rd
Simple Interest
Interest: the amount extra
It can be earned or paid!
Interest Formula: Interest = Principal x Rate x Time
(big number)
(%)
(in years)
Find the interest. $300 at 6% for 9 months
11
Dec. 13th
Line and Angle Rela
onship
Angle: two rays with a common endpoint
45
0
Vertex: the common endpoint of an angle
Degree: measurement of an angle
vertex
4 Types on Angles
Acute Angle: measures less than 900
Right Angle: measures exactly 900
Obtuse Angle: measures more than 90 0
Straight Angle: measures exactly 1800 (line)
0
omplementary Angles: two angles whose sum equals 90
upplementary Angles: two angles whose sum equals 180
0
Adjacent Angles: two angles that share a common side!
1
2
Ver
cal Angles:
1
4
3
2
12
Dec. 14th
Transversal
<3
<1
<7
<4
<8
<6
<2
<5
Two Parallel Lines with a line going through them.
13
x y
2
x
6
5
y
Ver
ca
1
7
4
8
Corresponding
Dec. 17th
3
Alterna
n
Interior
Alterna
n
Exterior
Triangles
Triangle: a polygon with 3 sides and 3 angles
The sum of the three angles of a triangle is 180
0
Six Types of Triangles:
Acute Triangle: a triangle with three acute angles
Right Triangle: a triangle with one Right angle
Obtuse Triangle: a triangle with one obtuse angle
Equilateral Triangle: a triangle with three congruent sides (the
three angles are also congruent)
Isosceles Triangle: a triangle with two congruent sides (the two
angles opposite the congruent sides are also congruent)
Scalene Triangle: a triangle with NO congruent sides (none of the
angles are congruent to each other)
14
30‐60‐90 Triangle
45‐45‐Right Triangle
Dec. 18th
30‐60‐90 Triangle
45‐45‐Right Triangle
0
60
0
30
15
Quadrilaterals
Jan 4th
Quadrilateral: a 4‐sided polygon
The sum of the 4 angles in a quadrilateral
must equal 360 0.
Quadrilateral
>
Trapezoid
>
a quadrilateral with
ONE pair of parallel sides
>>
>
>
Parallelogram
>>
a quadrilateral with opposite sides
parallel and congruent
Rhombus
>
>
>>
Rectangle
parallelogram with
4 congruent sides
>>
Parallelogram with
4 right angles
Square
HW
PG 274‐5
#10‐34 even
rectangle with 4
congruent sides
16
Congruent Polygons
Jan 7th
Congruent Polygons: polygons that are the exact same size and
shape
The Corresponding Parts and congruent to each other.
Y
B
A
Congruence Statement:
C
X
ABC =
Z
XYZ
17
Jan 9th
Mid‐Chapter Review
*Classify Angle Pairs
*Complementary and Supplementary
*Classify Triangle by its sides and angles
*Sum of the angles of a triangle
*30‐60‐90 and Right Isosceles Triangles
*Transversal
*5 types of quadrilaterals
*Congruent Polygons (#14‐17 on page 282)
18