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OCTOBER 13TH, 2014
DAY 41 XLI
• All Learning Target – Today I will
demonstrate how to write
equivalent fractions
• Brainpop
• Fraction Gallery Walk
• Homework – None
Brainpop
 http://www.brainpop.com/math/numbersand
operations/reducingfractions/
 User name: stmarthaschool
 Password: brainpass
What do you get when you multiply a
number by 1?
You get that number!
5x1=5
7x1=7
37 x 1 = 37
23 x 1 = 23
17 x 1 = 17
All these fractions =
1
When the
numerator &
denominator of a
fraction are the same,
the fraction
equals 1.
7
2
7
2
33
33
5
5
4
4
Make An Equivalent Fraction
Find the Missing Numerator!
x5
x5
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x3
x3
Given the new
denominator, can you
find the missing
numerator?
Make An Equivalent Fraction
Find the Missing Numerator!
x4
x4
Given the new
denominator, can you
find the missing
numerator?
OCTOBER 13TH, 2014
DAY 41 XLI
• 8th Grade Learning Target – Today I
•
•
•
•
will graph linear equations
Bellringer
Brainpop
Lesson
Homework – pg. 157 #s 2-20 EVEN
ONLY
Bellringer
Solve each equation for y.
1. 6y – 12x = 24
y = 2x + 4
2. –2y – 4x = 20
y = –2x – 10
y =5x + 8
2
y = –2x + 6
3. 2y – 5x = 16
4. 3y + 6x = 18
Brainpop
 http://www.brainpop.com/technology/compu
terscience/graphinglinearequations/
 User name: stmarthaschool
 Password: brainpass
A linear equation is an equation whose
solutions fall on a straight line on the
coordinate plane .
All solutions of a particular linear
equation fall on the line, and all the
points on the line are solutions of the
equation.
If an equation is linear, a
constant change in the x-value
corresponds to a constant
change in the y-value. The graph
shows an example where each time
the x-value increases by 3, the yvalue increases by 2.
Helpful Hint!
If “x” or “y” is not raised to a power,
the equation is linear.
Additional Example 1A: Graphing Equations
Graph the equation and tell whether it is linear.
y = 3x – 1
+1
x
y
0
–1
+1
1
2
+3
+1
2
5
+3
3
8
+3
Make a table of
ordered pairs.
Find the
differences
between
consecutive
data points.
Additional Example 1A Continued
The equation y = 3x – 1 is
a linear equation because
it is the graph of a
straight line and each
time x increases by 1
unit, y increases by 3
units.
Additional Example 1B: Graphing Equations
Graph the equation and tell whether it is linear.
y = x3
+1
x
y
–2
–8
+1
–1
–1
+7
+1
+1
0
0
+1
1
1
+1
+7
2
8
Make a table of
ordered pairs.
Find the
differences
between
consecutive
data points.
Additional Example 1B Continued
The equation y = x3 is not
a linear equation because
its graph is not a straight
line. Also notice that as x
increases by a constant of
1 unit, the change in y is
not constant.
What are the x- and y-intercepts?
The x-intercept is where
the graph crosses the
x-axis.
The y-coordinate is
always 0.
The y-intercept is where
the graph crosses the
y-axis.
The x-coordinate is
always 0.
(2, 0)
(0, 6)
Helpful Hint!
**To find the x-intercept in a given
equation, plug in 0 for y.
**To find the y-intercept in a given
equation, plug in 0 for x.
Find the x- and y-intercepts.
1. x - 2y = 12
x-intercept: Plug in 0 for y.
x - 2(0) = 12
x = 12; (12, 0)
y-intercept: Plug in 0 for x.
0 - 2y = 12
y = -6; (0, -6)