Download 3 column 7th grade

Seventh Grade Common Core
Content that is New to Seventh Grade
Content that is still included in Seventh
Grade but may be modified at a greater
depth
Content that is no longer a focus at
Seventh Grade
2.1 Numbers and Operations
2.1.7.D Ratios and Proportional Relationships
2.1.7.D.1
 Identify the constant of proportionality (unit
rate) in tables, graphs, equations, diagrams,
and verbal descriptions of proportional
relationships
o M07.A-R.1.1.3
o 7.RP.2b
 Explain what a point (x,y) on a 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
o M07.A-R.1.1.5
o 7.RP.2d
 Use proportional relationships to solve multistep ratio and percent problems (examples:
simple interest, tax, markups and markdowns,
gratuities, and commissions, fees, percent
increase and percent decrease)
o M07.A-R.1.1.6
o 7.RP.3
2.1 Numbers and Operations
2.1.7.D Ratios and Proportional Relationships
2.1.7.D.1
 Compute unit rates associated with ratios
of fractions, including ratios of lengths,
areas and other quantities measured in
like or different units
o M07.A-R.1.1.1
o 7.RP.1
 Determine whether two quantities are
proportionally related (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)
o M07.A-R.1.1.2
o 7.RP.2A
 Represent proportional relationships by
equations
o M07.A-R.1.1.4
o 7.RP.2c
M7. A Numbers and Operations
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Compare and/or order integers, mixed
numbers, fractions and decimals
o M7.A.1.2.1
o No longer covered in any grade
level
Locate/identify decimals fraction, mixed
numbers and/or integers on a number
line
o M7.A.1.2.2
o Moved to 6th
 M06.A.N.3.1.3
 6.NS.6c
Use the order of operations to simplify
numerical expressions
o M7.A.2.1.1
o Moved to 5th
 M05.B-O.1.7.1
 5.OA.1
Write ratios to compare quantities
o M7.A.2.2.1
o Moved to 6th
 M06.A-R.1.1.1
Use proportions to find the missing
length of a side in similar figures
o M7.A.2.2.6
o No longer covered in any grade
level
Estimate answers to problems involving
whole numbers, decimals, fractions or
mixed numbers
o M7.A.3.1.1
o No longer covered in any grade
level
Seventh Grade Common Core
Content that is New to Seventh Grade
Content that is still included in Seventh Grade but
may be modified at a greater depth
2.1 Numbers and Operations
2.1.7.E The Number System
2.1 Numbers and Operations
2.1.7.E The Number System
2.1.7.E.1
 Represent addition and subtraction on a
horizontal or vertical number line
o M07.A-N.1.1.2
2.1.7.E.1
 Apply properties of operations to add and subtract
rational numbers, including real-world contexts
o Describe situations in which opposites
quantities combine to make
 M07.A-N.1.1.1
 7.NS.1a
 7.NS.3
o Understand p+q as the number located a
distance
is from p, in the positive or
negative. Show that a number and its
opposite have a sum of zero (are additive
inverse). Interpret sums of rational numbers
by describing real-world contexts
 M07.A-N.1.1.1
 7.NS.1b
 7.NS.3
o Understanding 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 principle in real world contexts
 M07.A-N1.1.1
 7.NS.1c
 7.NS.3
o Apply properties of operations as strategies
to add and subtract rational numbers
 M07.A-N.1.1.1
 7.NS.1d
 7.NS.3
Content that is no longer a
focus at Seventh Grade
Seventh Grade Common Core

Apply properties of operations to multiply and divide
rational numbers, including real world contexts;
demonstrate that the decimal form of a rational
number terminates or eventually repeats
o 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
 M07.A-N.1.1.3
 7.NS.2a
 7.NS.3
o Understand that integers can be divided
provided that the divisor is 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
 M07.A-N.1.1.3
 7.NS.2b
 7.NS.3
o Apply properties of operations as strategies
to multiply and divide rational numbers
 M07.A-N.1.1.3
 7.NS.2c
 7.NS.3
o 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
 M07.A-N.1.1.3
 7.NS.2d
Seventh Grade Common Core

7.NS.3
Content that is New to Seventh Grade
Content that is still included in Seventh
Grade but may be modified at a greater
depth
Content that is no longer a focus at
Seventh Grade
2.2 Algebraic Concepts
2.2.7.B Expressions and Equation
2.2 Algebraic Concepts
2.2.7.B Expressions and Equations
2.2.7.B.3
 Solve multi-step real life problems and
mathematical problems posed with
positive and negative rational numbers in
any form (whole numbers, fractions or
decimals) using tools strategically. Apply
properties of operations to calculate with
numbers in any form; convert between
forms where appropriate; and assess the
reasonableness of an answer using
mental computation and estimation
strategies
o M07.B-E.2.3.1
o 7.EE.3
M7.D Algebraic Concepts
2.2.7.B.1
 Apply properties of operations to add,
subtract, factor and expand linear expressions
with rational coefficients
o M07.B-E.1.1.1
o 7.E.E.1
 Apply properties of operations to calculate
with numbers in any form; convert between
forms as appropriate
o M07.B-E.1.1.1
o 7.E.E.2
 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
o M07.B-E.2.2.1
o 7.EE.4a
 Solve world problems leading to inequalities of
the form px + q > r or px + q < r, where p,q and
r are specific rational numbers, and graph the
solution set of the inequality
o M07.B-E.2.2.1
o 7.EE.4b
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Describe, extend or find a missing
element of a pattern (show 3 repetition
of the pattern)
o M7.D.1.1.1
o Moved to 5th
 M05.B-O.2.1.1
 5.OA.3
Use substitution of one and/or two
variables to simplify expressions
o M7.D.2.1.2
o Moved to 6th
 M06.B-E.2.2.1
Identify expressions, equations or
inequalities that model mathematical
situations
o M7.D.2.2.1
o Moved to 6th
 M06.B-E.2.1.2
 6.EE.6
Solve problems involving a constant rate
of change
o M7.D.3.1.1
o No longer covered in any grade
level
Describe and/or use the relationship of
data displayed on a rate of change graph
o M7.D.3.1.2
o No longer covered in any grade
level
Seventh Grade Common Core
Content that is New to Seventh Grade
Content that is still included in Seventh
Grade but may be modified at a greater
depth
Content that is no longer a focus at
Seventh Grade
2.3 Geometry
2.3.7.A Geometry
2.3 Geometry
2.3.7.A Geometry
M7.C Geometry
2.3.7.A.1
 Identify or describe the properties of all types
of triangles based on angle and side measure
o M07.C-G.1.1.2
o 7.G.2
 Use and apply the triangle inequality theorem
o M07.C-G.1.1.2
 Draw (freehand, with ruler and protractor, and
with technology) geometric shapes with given
conditions. Focus on constructing triangles
with three measures of angles or sides,
noticing when the conditions determine la
unique triangle, more then on triangle or no
triangles
o 7.G.2
 Describe the two-dimensional figure that
results from slicing three-dimensional figures
o M07.C-G.1.1.4
o 7.G.3
2.3.7.A.3
 Identify and use the properties of
supplementary, complementary and adjacent
angles in a multi-step problem to write and
solve simple equations for an unknown angle
in a figure
2.3.7.A.1
 Solve problems involving scale drawings
of geometric figures, including finding
lengths and area
o M07.C-G.1.1.1
o 7.G.1
2.3.7.A.3
 Find the area and circumference of a
circle. Solve problems involving area and
circumference of a circle(s). Formulas will
be provided
o M07.C-G.2.2.1
o 7.G.4
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Identify, describe and/or define diameter,
radius, chord and/or circumference in
circles
o M7.C.1.1.1
o No longer covered in any grade
level
Solve problems involving the relationship
between the radius and diameter of the
same circle
o M7.C.1.1.2
o No longer covered in any grade
level
Identify parallel, perpendicular and/or
skew line segments within three
dimensional figures
o M7.C.1.1.3
o No longer covered in any grade
level
Identify and/or use polygons that are
similar and/or congruent, given either
measurement, or tic and angle marks
o M7.C.1.2.1
o No longer covered in any grade
level
Identify corresponding sides and/or angles
Seventh Grade Common Core
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o M07.C-G.2.1.1
o 7.G.5
Identify and use properties of angles formed
when two parallel lines are cut by a transversal
(e.g. angles may include alternate interior,
alternate exterior, vertical and corresponding)
o M07.C-G.2.1.2
Solve real world and mathematical problems
involving area, volume and surface area of two
and three – dimensional objects composed of
triangles, quadrilaterals, polygons, cubes and
right prisms. Formulas will be provided
o M07.C-G.2.2.2
o 7.G.6
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of congruent or similar polygons
o M7.C.1.2.2
o No longer covered in any grade le
level
Plot and/or identify ordered pairs on a
coordinate plane (all four quadrants)
o M7.C.3.1.1
o Move to 6th
 M06.A-N.3.2.23
 6.NS.8
Identify quadrants I,II,III IV, the x-axis and
y axis and the origin on a coordinate plane
o M7.C.3.1.2
o Moved to 6th
 M06.A-N.3.2.3
M7.B Measurement
__________________________________________
 Add, subtract or convert measurements
using only the units below, with and
without regrouping
o M7.B.1.1.1
o Moved to 6th
 M06.C-G.1.1.2
 6.G.1
 Develop and/or use strategies to find the
perimeter and/or area of compound
figures
o M7.B.2.1.1
o Moved to 6th
 M06.C-G.1.1.2
 6.G.1
 Find the area of triangles and/or all types
of parallelograms
o M7.B.2.1.3
o Moved to 6th
 M06.C-G.1.1.1
 6.G.1
Seventh Grade Common Core
Content that is New to Seventh Grade
Content that is still included in Seventh
Grade but may be modified at a greater
depth
Content that is no longer a focus at
Seventh Grade
2.4 Data Analysis and Probability
2.4.7.B Statistics and Probability
2.4 Data Analysis and Probability
2.4.7.B Statistics and Probability
M7.E Data Analysis and Probability
2.4.7.B.1
 Determine whether a sample is a random
sample given a real world situation
o M07.D-S.1.1.1
 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 the
population. Understand that random
sampling tends to produce representative
samples and support valid inferences
o 7.SP.1
 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
2.4.7.B.2
 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
measures of variability (i.e. compare two
numerical data distributions using
measures of center and variability)
o M07.D-S.2.1.1
o 7.SP.3
o 7.SP.4
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Analyze data and/or answer questions
pertaining to data to represented in
histograms, double bar graphs, multiple
line graphs, or stem-and-leaf plots
o M7.E.1.1.1
o No longer covered in any grade
level
Decide/choose which measure of central
tendency would be most appropriate for
a given situation
o M7.E.2.1.2
o Moved to 6th
 M06.D-S.1.1.4
 6.SP.5a
Use data displayed in charts, graphs or
tallies to find experimental probability
o M7.E.3.1.3
Seventh Grade Common Core
same size to gauge the variation in estimates
by prediction
o M07.D-S.1.1.2
o 7.SP.2
2.4.7.B.3
 Predict or determine whether some outcomes
are certain, more likely, less likely, equally
likely or impossible (i.e. a probability near 0
indicates an unlikely event, a probability
around ½ indicates an event that is neither
unlikely or likely, and a probability near 1
indicates a likely event)
o M07.D-S.3.1.1
o 7.SP.5
 Determine the probability of a change event
given relative frequency. (Predict the
approximate frequency given the probability)
o M07.D-S.3.2.1
o 7.SP.6
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Find the probability of a simple event,
including the probability of a simple event not
occurring
o M07.D-S.3.2.2.
Develop probability model and use it to find
probabilities of events. Compare probabilities
from a model to observe frequencies, if the
agreement is not good, explain possible
sources of discrepancy
o Develop a uniform probability model
by assigning equal probability to all
outcomes, and use the model to
determine the probability of events
 7.SP.7a
o Develop a probability model (which
may not be uniform) by observing
frequencies in data generated by a
chance process
 7.SP.7b
Find the probabilities of independent
compound events using organized lists, tables,
tree diagrams and simulations
o
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No longer covered in any grade
level
Formulate predictions and/or draw
conclusions based on data displays or
probability
o M7.E.4.1.1
o No longer covered in any grade
level
Seventh Grade Common Core
o
o
o
Understand that, just as with a simple
event, the probability of a compound
event is the fraction of outcomes in
the sample space for which the
compound event occurs
 M07.D-S.3.2.3
 7.SP.8a
Represent sample space for
compound events using methods
such as organized lists, tables and
tree diagrams. For an event
described in everyday language
identify the outcomes in the sample
space which compose the event
 M07.D-S.3.2.3
 7.SP.8b
Design and use a simulation to
generate frequencies for compound
events
 M07.D-S.3.2.3
 7.SP.8c