Transcript CCSS GEOMETRY: Transformations & Dilations

th
8
CCSS
Grade: Unit 4
Analyzing & Interpreting
Linear Functions and
Scatter Plots
Group Member Names:
Problem Bank: 8.F.A.2
O Carl made a table to show how many miles he
traveled on a trip.
O Dave also went on a trip and averaged 45mph over the
course of his trip.
A.) What is the rate at which Carl traveled over the
course of his trip?
B.) Compare the rates that Carl and Dave traveled at.
Who traveled at a greater rate? What is the
difference in rates?
Problem Bank: 8.F.A.2
O Write an equations that has the same y-intercept as
the line in the graph and a slope that is the opposite of
the slope in the graph.
Problem Bank: 8.F.A.2
O Anita and Jerry made graphs to show their progress
reading the same book over five days. What is the
relationship between the number of pages Anita read
each day and the number of pages Jerry read each day?
a.) Anita read half the
number of pages Jerry
read each day
b.) Anita read the same
number of pages Jerry
read each day
c.) Anita read two times
the number of pages
Jerry read each day
d.) Anita read three times
the number of pages
Jerry read each day
Problem Bank: 8.F.A.2
O Elena and Kristen’s salaries are shown below. If both
continue to increase at the same rates shown, which of
the following statements is true for year 6?
a.) Elena’s salary was
$30,000
b.) Kristen’s salary was
$26,000
c.) Elena’s salary was $500
more than Kristen’s
d.) Kristen’s salary was $500
more than Elena’s salary
Problem Bank: 8.F.A.2
O Write the Unit Rate for each scenario.
O Which scenario represents a greater speed?
Problem Bank: 8.F.A.2
O Which statement is true about the lines on the graph?
A.) They have the same
slope and the same
y-intercept
B.) They have the same
slope but different
y-intercepts
C.) They have different
slopes and the same
y-intercept
D.) They have different
slopes and different
y-intercepts
Louisiana Believes: 8.F.A.2
O Which statement about the two companies is true?
A.) Company A mows for 20 more hours than Company B
B.) Company B mows for 20 more hours than Company A
C.) Company A uses 0.25 of a gallon more gas per hour than
Company B
D.) Company B uses 0.25 of a gallon more gas per hour than
Company A
Louisiana Believes: 8.F.A.2
O Which equation has the same y-intercept as the line in
the graph, and a slope that is the opposite of the slope in
the graph?
A.) y = ½ x - 3
B.) y = ½ x + 3
C.) y = -2x - 3
D.) y = 2x - 3
Louisiana Believes: 8.F.A.2
O Which statement about the slopes of the functions is
true?
A.) The slopes of both functions are negative
B.) The slopes of both functions are positive
C.) Slope of function A is negative and Slope B is positive
D.) Slope of function A is positive and Slope B is negative
Louisiana Believes: 8.F.A.2
O Which statement about the function in the table and the
line represented by y = 6 is true?
A.) the lines don’t intersect
B.) the lines have same y-intercept
C.) lines both cross through origin
D.) lines both cross the x-axis but not
the y-axis
Problem Bank: 8.F.B.5
O The graph shows a student’s trip to school. This student
walks to his friend’s house and together they ride a bus
to school. The bus stops once before arriving at school.
O Describe in words how EACH part A – E relates to the
story.
O Which letter shows where the bus stopped?
Problem Bank: 8.F.B.5
O Is the function linear or nonlinear? Explain.
O Over what intervals is the function increasing?
O Over what intervals is the function decreasing?
Louisiana Believes: 8.F.B.5
O Which description of the function is true?
A.) The function is linear and
always increasing
B.) The function is nonlinear and always increasing
C.) Function is decreasing from negative infinity to -1 and
increasing from -1 to infinity
D.) Function is decreasing from negative infinity to -2 and
increasing from -2 to infinity
Problem Bank: 8.F.B.5
O Which graph best represents a person’s distance from
the ground while riding a Ferris Wheel?
PARCC: 8.F.B.5
Each day, Maria walks from home to school and then from school to home. The graphs that follow show the
distance that Maria is from home at different times during the walk. Match the graphs to the descriptions of Maria’s
walk shown to the right of the graphs. Next to each graph, enter the letter (A, B, C, D) of the description that best
matches the graph.
A. Maria walks from school to her friend’s house. She visits her friend for a while. Then she walks the rest of the
way home.
B. Maria walks from home to school at a constant rate.
C. Maria starts to walk from home to school. She stops to see whether she has her homework. She realizes she
forgot her homework and runs back home to get it.
D. Maria walks from school to home at a constant rate.
Problem Bank: 8.F.B.5
O Describe in detail a real-life story problem that would
math the situation in the graph.
Problem Bank: 8.F.B.5
O Gabe takes a bike ride starting from home. He travels 4
miles in 6 minutes. He then gets stopped in traffic for 3
minutes. Frustrated, Gabe decides to bike home, which
takes 8 more minutes.
O Draw a graph of Gabe’s distance from home as a
function of the time since he left.
O Describe the slope of each portion of this graph.
Problem Bank: 8.F.B.5
O Describe what is happening between 9 a.m. and 11 a.m?
O What do you think the bicyclist is doing between 11 a.m.
and 1 p.m.? How do you know?
O What is the average speed of the bicyclist between 1 p.m.
and 4 p.m.?
Reference Sheet
Scatter Plots have 3 Types of
Correlation
O Positive
Negative
No Correlation
Problem Bank: 8.SP.A.1
O Write a sentence that describes the relationship
(positive, negative, no association) between the data
displayed in the scatterplot and explain what this means
in real world terms.
Problem Bank: 8.SP.A.1
O For each of the 3 graphs shown below determine if there
is a positive trend, negative trend, or no correlation
between the data. Put you answers in the blanks.
Problem Bank: 8.SP.A.1
O Write a sentence describing the type of
correlation/relationship that exists between the two
variables shown in the graph and then explain what this
means in real-life terms in this situation.
Problem Bank: 8.SP.A.1
O Kara made the scatterplot below to represent the
number of strikeouts and walks each of 10 baseball
players had last week. Which scatterplot shows line of
best fit?
Louisiana Believes: 8.SP.A.1
O Paul creates a scatter plot with a negative association.
The x-axis of the scatter plot is titles, “Minutes Spent At
Mall.” Which label is most likely the title of the y-axis of
Paul’s scatter plot?
A.) Distance Walked
B.) Money Available to Spend
C.) Number of Movies Seen
D.) Number of Stores Visited
Problem Bank: 8.SP.A.1
O The table shows the relationship between the ounces and
the calories in Ashana’s favorite snacks. Which scatter
plot shows this same data?
Problem Bank: 8.SP.A.1
O The scatter plot below shows the time cheese has been
aging and the amount of lactic acid present in the cheese.
Which statement is MOST strongly supported by the
scatterplot?
A.) the longer the cheese ages, the
more lactic acid is present
B.) the longer the cheese ages, the less
lactic acid is present
C.) the amount of lactic acid present
remains constant as cheese ages
D.) no relationship exists between the
time cheese ages and the amount of
lactic acid present
Problem Bank: 8.SP.A.2
O Draw a line of best fit for the scatterplot below and then
determine if the scatterplot shows a positive trend, a
negative trend, or no trend.
Problem Bank: 8.SP.A.2
O Draw a line of best fit for the scatterplot below and then
determine if the scatterplot shows a positive trend, a
negative trend, or no trend.
Problem Bank: 8.SP.A.2
O Draw a line of best fit for the scatterplot below and then
determine if the scatterplot shows a positive trend, a
negative trend, or no trend. What does this mean in
real-world terms?
Problem Bank: 8.SP.A.2
O Draw a line of best fit.
O What type of correlation exists between the year and the
number of CD’s sold?
O Explain in real-world terms what the data suggests in
this correlation.
Problem Bank: 8.SP.A.2
O The scatterplot and line of best fit below show the
average price of a gallon of gasoline, in dollars, for a 20year span. The data for year, 0, year 1, and year 20 will
be removed. How will this affect the line of best fit?
A.) the line of best fit won’t be affected
B.) the line of best fit will become
horizontal
C.) the y-intercept of the line of best
fit will increase
D.) the y-intercept of the line of best fit
will decrease