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Crystal Carlson – Title 1 Mathematics
October 6th – Week 1 – 8th Grade
MONDAY
6th – Week 1
[ 8.M.EE.B.05]
I can graph
and interpret
proportional
relationships
between two
quantities. I
can compare
two
proportional
relationships
represented in
different ways.
-Review CFAs
-Find problem
for each
student
TUESDAY
WEDNESDAY
*Essential Questions:
1. What is slope? How do you identify it on a graph
or linear equation?
2. What is a proportional relationship? How do you
interpret this relationship in terms of slope?
*Examples:
Compare the scenarios to
determine which represents a
greater speed. Include a
description of each scenario
including the unit rates in your
explanation.
*Slope (Rate of Change)
-A slope is a ratio, or a comparison of two numbers.
-The ratio compares the vertical change and the
horizontal change of a line.
-We will be using a line graph to show slope (a line
has a constant slope).
*Slope is found by finding the change in y divided
by the change in x.
y2 – y1
x2 – x1
*Slope is also rise/run.
-Rise is positive when moving up and negative
when moving down.
-Run is positive when moving right and negative
when moving left.
-Find any two points on the line; RISE count how
many spaces up (or down) it is from the first point
to the second point and RUN how many spaces
right (or left) it is; write the first number as the
numerator and the second number as the
denominator and reduce the fraction.
*Rate of Change from an Equation:
We can use the formula:
y=mx + b
where b is the y-intercept, and m is the rate of
change (slope)
Solution:
Scenario 1:
y2 – y1 = 240-60=180=60
x2 – x1= 4-1 = 3
Scenario 2:
Slope = 50
Scenario number 1 has the
greater speed.
*Comparing two proportional
relationships (slopes)
represented in different
ways WS.
THURSDAY
*Rate of
Change WS
FRIDAY
Re-Test
Big Ideas:
1.
Proportional
relationships
can be
represented
in different
ways (graph,
equation, or
table).
2. Students
will be able
to interpret
the slope as
the constant
rate of
change.
STUDENTS