Shelton School District
Unit Name: Number System
CCSS Domains
7.NS Apply and extend previous
understandings of operations with
fraction to add, subtract, multiply,
and divide rational numbers.
7.NS.A.1 Apply and extend
previous understandings of
additions and subtraction to add
and subtract rational numbers:
represent addition and subtraction
on a horizontal or vertical number
line diagram.
a. Describe situations in which
opposite quantities combine to
make 0.
7.NS.A.1
b. Understand p + q as the number
located a distance |q| from p, in
the positive or negative direction
depending on whether q is
positive or negative. Show that a
number and its opposite have a
sum of 0 (are additive inverses).
Interpret sums of rational
numbers by describing real-world
contexts.
7.NS.A.1
c. Understand subtraction of
rational numbers as adding the
additive inverse, p – q = p + (–q).
Show that the distance between
two rational numbers on the
number line is the absolute value
of their difference, and apply this
Grade Level: 7th grade CCSS Pacing Guide
September-October 15
Objective/Practice
Students can locate rational
numbers and their opposites on a
number line.
2014-15 School Year
SMP Emphasis: Look for and express regularity in repeated reasoning; Make sense of
problems and persevere in solving them.
Lesson/Assessment
Vocab
Alignment Notes
CMP AccentNeg,
Inv1 intro
MSPS H.4 warmup
1 day
Whole #
Integer
Positive
negative
Rational #
Terminate
For example, a hydrogen atom
has 0 charge because its two
constituents are oppositely
charged.
Convert a rational number to a
decimal using long division;
know that the decimal form of a
rational number terminates in 0s
or eventually repeats.
Real world application: football
field
Distance cannot be negative
(absolute value concept)
Students can add integers and
represent on the numberline.
Hot Air Balloon
ppt/game
CMP AccentNeg Inv
1.2, 1.3
ACE 20-31
2 days
Commutative
Associative
Indentity
Students can subtract integers.
?
2 days
Additive inverse
Real world applications.
Students can apply properties of
operations: commutative,
associative, and identity.
Use Othello chips
Add like numbers
Add one negative, then add two
negatives.
Vertical numberlines (up &
down)
Pattern List:5-3, 5-2, 5-1, 5-0, 5-(1)
Additive inverse (view
subtraction as addition of
negative)
Model w/ mathematics.
Students can show that a number
and its opposite have a sum of 0
(are additive inverses).
1
Shelton School District
principle in real-world contexts.
7.NS.A.1
d. Apply properties of operations
as strategies to add and subtract
rational numbers.
Unit Name:
CCSS Domains
7.NS Apply and extend previous
understandings of operations with
fraction to add, subtract, multiply,
and divide rational numbers.
7.NS.A.2. Apply and extend previous
understandings of multiplication and
division and of fractions to multiply
and divide rational numbers.
a. Understand that multiplication is
extended from fractions to rational
numbers by requiring that operations
continue to satisfy the properties of
operations, particularly the
distributive property, leading to
products such as (–1)(–1) = 1 and the
rules for multiplying signed numbers.
Interpret products of rational
numbers by describing real-world
contexts.
7.NS.A.2.
b. Understand that integers can be
divided, provided that the divisor is
Grade Level: 7th grade CCSS Pacing Guide
Students can add/subtract rational
numbers.
MSPS H.4
2 days
Students understand that the
absolute value is the distance from
zero.
Introduce symbol
and vocab.
CMP AccentNeg
Inv2.1 ?
1 day
September-October 15
Objective/Practice
Student can use multiplication
as a shortcut for repeated
addition of rational numbers.
Students understand that
division of all rational numbers
is about how many times the
divisor (denominator) fits into
the dividend (numerator).
Students can estimate whether
division problem will be =1, >1
or<1.
Students can apply properties of
operations: commutative,
associative, distributive and
identity.
2014-15 School Year
Part-to-whole ratio
Divisor
Numerator
Denominator
reciprocal
Absolute value
All fractions are division
problems.
Fractions are part-to-whole
ratios.
SMP Emphasis: Look for and express regularity in repeated reasoning ; Make sense of
problems and persevere in solving them.
Lesson/Assessment
? tchr generated
2 days
Vocab
Place value
Alignment Notes
Review whole, fraction, and
decimal, extend to integers
and rational numbers.
Understand that products may
be smaller than factors.
Pattern lists
? tchr generated
CMP2 AccentNeg
Inv 3.2, 3.3
Distributive
Area model
Products
undefined
4(203) = 4(200) + 4(3)
Area model demonstration
2
Shelton School District
not zero, and every quotient of
integers (with non-zero divisor) is a
rational number. If p and q are
integers, then –(p/q) = (–p)/q = p/(–
q). Interpret quotients of rational
numbers by describing real world
contexts.
7.NS.A.2.
c. Apply properties of operations as
strategies to multiply and divide
rational numbers.
7.NS.A.2.
d. Convert a rational number to a
decimal using long division; know that
the decimal form of a rational number
terminates in 0s or eventually
repeats.
Grade Level: 7th grade CCSS Pacing Guide
Students can multiply and divide
positive and negative rational
numbers.
Students can add, subtract,
multiply and divide rational
numbers when operations are
mixed.
Students will locate rational and
irrational numbers on a number
line.
Integer Products
Game
Ace 26,30
4 days
Pizzazz
2 days
1 day
2014-15 School Year
Patterning
Parentheses
Braces
Distribute
Interval
Rational
Irrational
Pi
Square root?
7.NS.2.d is Addressed at
7.NS.1
Just expose to irrational
numbers. Pi is irrational.
3
Shelton School District
Unit Name:
CCSS Domains
Show that the distance
between two rational
numbers on the number line
is the absolute value of their
difference
7.NS.A.3. Solve real-world
and mathematical problems
involving the four
operations with rational
numbers.
Grade Level: 7th grade CCSS Pacing Guide
September-October 15
2014-15 School Year
SMP Emphasis: Look for and express regularity in repeated reasoning; Make
sense of problems and persevere in solving them.
CCSS
Clusters
Lesson &
objective
Students can solve word problems with rational
numbers.
?
Vocab
Complex fractions
Alignment Notes
Computations with rational
numbers extend the rules for
manipulating fractions to
complex fractions (fractions
within fractions).
Process Standards Addressed:
Assessment: (type)
4
Shelton School District
Unit Name: Expressions and Equations
CCSS Domains
Use properties of operations to
generate equivalent
expressions.
7.EE.A.1. Apply properties of
operations as strategies to add,
subtract, factor, and expand
linear expressions with rational
coefficients.
7.EE.A.2. Understand that
rewriting an expression in
different forms in a problem
context can shed light on the
problem and how the
quantities in it are related.
Grade Level: 7th grade CCSS Pacing Guide
October 15 - Dec
Lesson/Assessment
Students will write expressions
that describe a situation.
“Ideal School” MathScapes
2 days
Students recognize and create
equivalent expressions, using
both factoring and expanding.
Unit Name: Expressions and Equations
CCSS Domains
Solve real-life and
mathematical problems using
numerical and
algebraic expressions and
equations.
7.EE.B.3. Solve multi-step reallife and mathematical problems
posed with positive and
negative rational numbers in
any form (whole numbers,
fractions, and decimals), using
tools strategically. Apply
SMP Emphasis: Reason abstractly and quantitatively; Make
sense of problems and persevere in solving them.
Objective/Practice
Students rewrite expressions to
clarify the problem situation.
October 15 - Dec
Objective/Practice
Use estimation strategies and
mental computation to find
partial amounts.
“fraction, decimal, and
percentage”
2014-15 School Year
Vocabulary
Expression
Equation
Simplify
Like terms
Variable
Equivalent
Factor
Expand
Constant
coefficient
Alignment Notes
Notes on nomenclature
x

3
If we multiply 2 4 by 4, we
get 2x+3. Is 2x+3 an equivalent
x 3

2
4?
expression to
. For example, a + 0.05a = 1.05a
means that “increase by 5%” is the
same as “multiply by 1.05.”
Simplifying
algebraic description of
“guess my number” (Open
Court)
SMP Emphasis: Reason abstractly and quantitatively; Make sense of problems and persevere
in solving them.
Lesson/Assessment
Benchmark numbers:
percentages
3 days
Vocab
Full, Regular price
Discount
Sale Price
Interest
Estimate inequality
Alignment Notes
Percents are part-to-whole ratios.
For example: If a woman making
$25 an hour gets a 10% raise, she
will make an additional 1/10 of her
salary an hour, or $2.50, for a new
salary of $27.50.
If you want to place a towel bar 9
3/4 inches long in the center of a
5
Shelton School District
properties of operations to
calculate with numbers in any
form; convert between forms as
appropriate; and assess the
reasonableness of answers
using mental computation and
estimation strategies.
7.EE.B.4. Use variables to
represent quantities in a realworld or mathematical
problem, and construct simple
equations and inequalities to
solve problems by reasoning
about the quantities.
a. Solve word problems leading
to equations of the form px + q
= r and p(x + q) = r, where p, q,
and r are specific rational
numbers. Solve equations of
these forms fluently. Compare
an algebraic solution to an
arithmetic solution, identifying
the sequence of the operations
used in each approach.
7.EE.B.4.
b. Solve word problems leading
to inequalities of the form px +
q > r or px + q < r, where p, q,
and r are specific rational
numbers. Graph the solution
set of the inequality and
interpret it in the context of the
problem.
Grade Level: 7th grade CCSS Pacing Guide
2014-15 School Year
door that is 27 1/2 inches wide, you
will need to place the bar about 9
inches from each edge; this
estimate can be used as a check on
the exact computation.
¼, 1/3, ½, 1/5, 1/10
1%,10%, 25%, 50%, 100%
Students convert fraction,
decimal, and percentage
Students solve word problems
MSPS: H.3
2 days
Students can distribute using a
variable with rational numbers
2 days
Students can write two-step
equations.
Rollo Rentals
Practice
MSPS: H.1 (writing
equations)
1.5 days
? MathScapes Ideal
School?
1.5 day
2-step equation
Algebra Academy unit
3 days
Dependent variable
Independent variable
solution
Students can write two-step
inequalities.
Students can graph points and
simple inequalities.
For example, the perimeter of a
rectangle is 54 cm. Its length is 6
cm. What is its width?
Area Model
2(300 + x )=2(300) + 2(x)
For example: As a salesperson, you
are paid $50 per
week plus $3 per sale. This week
you want your pay to be at least
$100. Write an inequality for the
number of sales you need to make,
and describe the solutions.
Process Standards Addressed:
Assessment: (type)
6
Shelton School District
Unit Name: Ratios and Proportional
Relationships
Analyze proportional relationships
and use them to solve real-world and
mathematical problems.
7.RP.A.1. Compute unit rates
associated with ratios of fractions,
including ratios of lengths, areas and
other quantities measured in like or
different units.
7.RP.A.2. Recognize and represent
proportional relationships between
quantities.
a. Decide whether two quantities are
in a proportional relationship, e.g., by
testing for equivalent ratios in a table
or graphing on a coordinate plane and
observing whether the graph is a
straight line through the origin.
7.RP.A.2.
b. Identify the constant of
proportionality (unit rate) in tables,
graphs, equations, diagrams, and
verbal descriptions of
proportional relationships.
7.RP.A.2.
c. Represent proportional relationships
by equations
7.RP.A.2.
d. Explain what a point (x, y) on the
graph of a proportional
relationship means in terms of the
situation, with special attention to the
points (0, 0) and (1, r) where r is the
unit rate.
Grade Level: 7th grade CCSS Pacing Guide
January - February
Objective/Practice
Students understand the
difference between rates and
ratios.
Students will complete a ratio
table to extend and find unit
rate.
2014-15 School Year
SMP Emphasis: Look for and make use of structure
Lesson/Assessment
CMP CompScale Inv 1.2 intro,
1.3, 2.1
Group-worthy pizza problem
2 days
CMP CompScale Inv 3.1
Vocab
Alignment Notes
Rate
Ratio
proportion
Unit rate
Ratio table
For example, if a person walks 1/2
mile in each 1/4 hour, compute the
unit rate as the complex fraction
1/2/1/4 miles per hour,
equivalently 2 miles per hour.
Find unit rate by making the
denominator by 1 (Flex Friday)
Update need from CD sales to Itunes
Monkey homework CMP
CompScale, Inv 2.3
Students will test
proportionality by completing a
T- table for each ratio
(horizontal and vertical).
Updated CMP2 CompScale Inv
3.1 – 3.3
Students will test
proportionality by graphing
each ratio on a coordinate
plane.
Students will determine unit
rate from various forms.
Slope as a ratio is a vertical
change compared to a
horizontal change.
Proportionality
Coordinate
plane
Must pass through zero if it is
proportional.
CMP2 Comparing and Scaling
Slope
Constant rate
Table: incremental change is the
same
Graphs: the slope is the same
Equations: the coefficient is the
same.
Diagrams and verbal descriptions:
students can use diagrams and
language that shows two quantities
are proportional
Can use slope to copy figures and
compare angles.
7
Shelton School District
7.RP.A.3. Use proportional
relationships to solve multistep ratio
and percent problems.
Grade Level: 7th grade CCSS Pacing Guide
Students will be able to set-up
and solve proportions in
problem situations.
Updated CMP CompScale Inv.
4.1, 4.2, 4.3
Students can graph a
proportional relationship on a
coordinate plane and show the
point of unit rate and origin
Students demonstrate a
relationship between a ratio and
percent.
?
?
Simple interest
Compound
interest
Markup
Markdown
Tip/gratuity
Fee
2014-15 School Year
Use 4 Ways to Solve Proportions
web. Can add flow chart for notes.
For example, if total cost t is
proportional to the number n of
items purchased at
a constant price p, the relationship
between the total cost and the
number of items can be expressed
as t = pn.
Use similar triangles on coordinate
grid. Compare slopes. Ties to
nesting triangles.
Graph unit rate problems.
5% tax +price = 1.05(price)
Examples: simple interest, tax,
markups and markdowns,
gratuities and commissions, fees,
percent increase and decrease,
percent error.
Process Standards Addressed:
Assessment: (type)
8
Grade Level: 7th grade CCSS Pacing Guide
Shelton School District
Unit Name: Geometry
CCSS Domain
Draw, construct, and
describe geometrical
figures and describe the
relationships between
them.
7.G.A.1. Solve problems
involving scale drawings of
geometric figures,
including computing actual
lengths and areas from a
scale drawing and
reproducing a scale
drawing at a different
scale. Computations with
rational numbers extend
the rules for manipulating
7.G.A.2. Draw (freehand,
with ruler and protractor,
and with technology)
geometric shapes with
given conditions. Focus on
constructing triangles from
three measures of angles or
sides, noticing when the
conditions determine a
unique triangle, more than
one triangle, or no triangle.
7.G.A.3. Describe the twodimensional figures that
result from slicing three
dimensional figures, as in
plane sections of right
rectangular prisms and
right rectangular pyramids.
March
2014-15 School Year
SMP of Emphasis: Use appropriate tools strategically; Attend to precision; Make sense of problems
and persevere in solving them.
Objective/Practice
Lesson/Assessment
Vocab
Alignment Notes
Students will use scale factor to enlarge or
reduce geometric figure. Student understand
at larger scale drawing will have a scale
factor greater than 1 and a smaller scale
drawing will have a scale factor less than 1
Rubber Band activity
CMP2
MSPS H.5: Scale It
Scale
Scale factor
Enlarge
Reduce
Angle
Regular polygons
Slopes will stay the same and
can be used to compare equal
angles in scale drawings.
Students will draw geometric shapes using
ruler, protractor, and technology. Special
attention to triangles.
Using tools
Draw
Sketch
Construct
Angle
Vertex
Side
Adjacent sides
Unique triangles and their
properties and symbols
Slice
Plane
Section
Prism
pyramid
Need geometric shapes
Use play dough
Students will describe geometric shapes
created by a plane slicing through a 3-D
figure.
Tools: ruler, protractor
9
Grade Level: 7th grade CCSS Pacing Guide
Shelton School District
Unit Name: Geometry
CCSSDomain
Solve real-life and
mathematical
problems involving
angle measure,
area, surface area, and
volume.
7.G.B.4. Know the
formulas for the area
and circumference of a
circle and use them to
solve problems; give an
informal derivation of
the relationship
between the
circumference and area
of a circle.
7.G.B.5. Use facts
about supplementary,
complementary,
vertical, and adjacent
angles in a multi-step
problem to write and
solve simple equations
for an unknown angle
in a figure.
7.G.B.6. Solve realworld and
mathematical
problems involving
area, volume and
surface area of twoand three-dimensional
objects composed of
March
2014-15 School Year
SMP of Emphasis: Use appropriate tools strategically; Attend to precision; Make sense of
problems and persevere in solving them.
Objective/Practice
Students will understand the concept of π.
Students will use the formulas for area and
circumference of a circle to solve problems.
Students will understand supplementary and
complementary angles.
Students will find missing angles on geometric
shapes.
Students will find area of 2-D figures, plus volume
and surface area of 3-D figures.
Students will use formulas for area and volume to
solve problems.
Lesson/Assessment
Create circle from
center point measures
Flex Friday 6th grade
Feb2014 circle
worksheet
Days
Alignment Notes
Discover concept first
Diameter
/circumference
comparison to find pi
Formula
Area
Circumference
Radius
Diameter
Pi
Irrational
Π
Center
Formulas for
circumference (develop
and apply different
measures)
Waxed paper
exploration with
polygons and parallel
lines before defining
Supplementary
Complementary
Vertical
Adjacent
Apply parallel line /angle
understanding to find missing
angles in a polygon
Symbol for angle
Area
Volume
Surface area
Polygon
Quadrilateral
Parallelogram
Trapezoid
Kite
Cubes in a can for volume, to
emphasize concept of bottom
layer x height will reveal volume
3 days +
Fieldtrip around
building looking for
polygons in contruction
Review area/volume
Nets for 3-D figures
Layers approach for
volume V=Bh, with
demonstration
Use string to discover pi
Visual radius squares overlaid on
circle to demonstrate reasonable
estimation of area formula
Stained glass group task:
http://www.illustrativemathematic
s.org/illustrations/1513
10
Grade Level: 7th grade CCSS Pacing Guide
Shelton School District
triangles,
quadrilaterals,
polygons, cubes, and
right prisms.
Demonstration # of
pyramids to fill a cube
V
Bh
3
2014-15 School Year
rhombus
Cube
Nets
prism
Process Standards Addressed:
Assessment: (type)
Unit Name: Statistics and Probability
CCSS Domain
Use random sampling to
draw inferences about a
population.
7.SP.A.1. Understand that
statistics can be used to
gain information about a
population by examining a
sample of the population;
generalizations about a
population from a sample
are valid only if the sample
is
representative of that
population. Understand
that random sampling
tends to produce
representative samples
and support valid
inferences.
April
SMP of Emphasis: Construct viable arguments and critique the reasoning of others; Make sense of
problems and persevere in solving them.
Objective/Practice
Students will use random samples to
make predictions for larger
populations.
Lesson/Assessment
Vocab
MathScapes yellow:
Lesson 10-12, What
Does the Data Say?
(jelly bean sampling
with graphs)
Sample
Population
Random sample
Representative sample
inference
Alignment Notes
CMP 8th Samples and
Populations
Consider engageny .org
materials
CMP2 Green:
Samples and
Populations, Inv 2
11
Shelton School District
7.SP.A.2. Use data from a
random sample to draw
inferences about a
population with an
unknown characteristic of
interest. Generate multiple
samples (or simulated
samples) of the same size
to gauge the variation in
estimates or predictions.
Grade Level: 7th grade CCSS Pacing Guide
Student will use data to draw
inferences about a sample population.
CMP2 Green, M&M
data, p 44-5
Students collect
data on OMS7th
grade population
and make
inferences. (ask
different questions
by period to
compare between
classes and
teachers in a visual
presentation)
2014-15 School Year
For example, estimate the
mean word length in a book
by randomly sampling words
from the book; predict the
winner of a school election
based on randomly sampled
survey data. Gauge how far
off the estimate or prediction
might be.
12
Shelton School District
Unit Name: Statistics and Probability
CCSS Domain
Draw informal comparative
inferences about two
populations.
7.SP.B.3. Informally assess the
degree of visual overlap of two
numerical data distributions
with similar variabilities,
measuring the difference
between the centers by
expressing it as a multiple of a
measure of variability
7.SP.B.4. Use measures of
center and measures of
variability for numerical data
from random samples to draw
informal comparative
inferences about two
populations.
Grade Level: 7th grade CCSS Pacing Guide
April
2014-15 School Year
SMP of Emphasis: Construct viable arguments and critique the reasoning of others; Make
sense of problems and persevere in solving them.
Objective/Practice
Lesson/Assessment
Days
Students can compare variability of
different data.
CMP2 Data Distributions: Inv 1.11.3 an 2
Distribution
Variability
Measures of
center
Students can use measures of
center to infer differences between
random samples.
Review: MSPS H.15 Soccer Game
CMP2 Data Distributions: Inv 2.4
(possible Inv 3-4)
Mean
Median
Mode
Range
Mean absolute
deviation
Alignment Notes
CMP2 Data Distributions
For example, the mean height of
players on the basketball team is
10 cm greater than the mean
height of players on the soccer
team, about twice the variability
(mean absolute deviation) on either
team; on a dot plot, the separation
between the two distributions of
heights is noticeable.
For example, decide whether the
words in a chapter of a seventhgrade science book are generally
longer than the words in a chapter
of a fourth-grade science book.
Process Standards Addressed:
Assessment: (type)
13
Shelton School District
Unit Name: Statistics and Probability
CCSS Domain
Investigate chance processes and
develop, use, and evaluate
probability models.
7.SP.C.5. Understand that the
probability of a chance event is a
number between 0 and 1 that
expresses the likelihood of the
event occurring.
Larger numbers indicate greater
likelihood. A probability near 0
indicates an unlikely event, a
probability around 1/2 indicates
an event that is neither unlikely
nor likely, and a probability near
1 indicates a likely event.
7.SP.C.6. Approximate the
probability of a chance event by
collecting data on the chance
process that produces it and
observing its long-run relative
frequency, and predict the
approximate relative frequency
given the probability.
Grade Level: 7th grade CCSS Pacing Guide
April
Objective/Practice
Student understands the range of values for
probability and their relative likeliness.
2014-15 School Year
SMP of Emphasis: Model with Mathematics; Make
sense of problems and persevere in solving them.
Lesson/Assessment
Probability intro
activities
CMP2 Blue What do
you Expect?
Inv 1.1
Days
Alignment Notes
Probability
Equally Likely
Unlikely
event
INTRO:Introduce probability
without numbers or definitions:
more likely, less likely, equally
likely. Never happens, will always
happen Locating probability on
number line, tie into fractions,
decimals, %.
Resist using definitions until
students understand concepts and
they can start to define probability
themselves.
Paperclip spinners!
Relative
frequency
Computation review: 1/6 of 600
For example, when rolling a
number cube 600 times, predict
that a 3 or 6 would be rolled
roughly 200 times, but probably
not exactly 200 times.
engageny.org 7th
grade module 5,
lesson 1-2
Students can approximate probability for large
collections of data.
MathScapes, Chance
Encounters: Mystery
Spinner Game,
Lesson 5 (6?—
creating own game, #
fluency)
engageny.org 7th
grade module 5,
lesson 3
engageny.org 7th
grade module 5,
lesson8?? Relative
frequency
14
Shelton School District
Grade Level: 7th grade CCSS Pacing Guide
engageny.org 7th
grade module 5,
lesson 4
7.SP.C.7. Develop a probability
model and use it to find
probabilities of events. Compare
probabilities from a model to
observed frequencies; if the
agreement is not good, explain
possible sources of the
discrepancy.
a. Develop a uniform probability
model by assigning equal
probability to all outcomes, and
use the model to determine
probabilities of events.
Student can find the probability of an event and
compare that prediction to observations.
7.SP.C.7.
b. Develop a probability model
(which may not be uniform) by
observing frequencies in data
generated from a chance process.
Students can find approximate probability by
conducting a chance process.
7.SP.C.8. Find probabilities of
compound events using organized
lists, tables, tree diagrams, and
simulation.
a. Understand that, just as with
simple events, the probability of a
compound event is the fraction of
outcomes in the sample space for
which the compound event
occurs.
7.SP.C.8.
b. Represent sample spaces for
compound events using methods
such as organized lists, tables and
tree diagrams. For an event
described in everyday language
Students understand that compound events will
be a fraction of a fraction.
Inv 1.2
MSPS H.13 Roll the
Cube
Students can use organized lists, tables and tree
diagrams to represent sample space.
engageny.org 7th
grade module 5,
lesson 5-7
2014-15 School Year
Probability
model
Uniform
model
approximate
For example, if a student is selected
at random from a class, find the
probability that Jane will be
selected and the probability that a
girl will be selected
Probability model (A probability
model for a chance experiment
specifies the set of possible
outcomes of the experiment—the
sample space—and the probability
associated with each
outcome.)
Uniform probability model (A
probability model in which all
outcomes in the sample space of a
chance experiment are equally
likely.)
For example, find the approximate
probability that a spinning penny
will land heads up or that a tossed
paper cup will land open-end down.
Do the outcomes for the spinning
penny appear to be equally likely
based on the observed frequencies?
Multiple coins with tree diagram
and an area model.
Compound
events
Organized
lists
Tree diagram
simulation
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Shelton School District
(e.g., “rolling double sixes”),
identify the outcomes in the
sample space which compose the
event.
7.SP.C.8.
c. Design and use a simulation to
generate frequencies for
compound events
Grade Level: 7th grade CCSS Pacing Guide
Students can design and use simulations with
compound events.
???
2014-15 School Year
For example, use random digits as
a simulation tool to approximate
the answer to the question: If 40%
of donors
have type A blood, what is the
probability that it will take at least
4 donors to find one with type A
blood?
Process Standards Addressed:
Assessment: (type)
16
Shelton School District
Unit Name:
CCSS Domain
Investigate chance processes
and develop, use, and evaluate
probability models.
Grade Level: 7th grade CCSS Pacing Guide
[Starting Date]
Objective/Practice
2014-15 School Year
[Ending Date]
Lesson/Assessment
Days
Alignment Notes
Process Standards Addressed:
Assessment: (type)
17
Shelton School District
Unit Name:
CCSS Domain
Investigate chance processes
and develop, use, and evaluate
probability models.
Grade Level: 7th grade CCSS Pacing Guide
[Starting Date]
Objective/Practice
2014-15 School Year
[Ending Date]
Lesson/Assessment
Days
Alignment Notes
Process Standards Addressed:
Assessment: (type)
18