ISS Curriculum Guide
7th Grade – Math
Top
10
EC
1st
1st
ISS Student Friendly Learning
Target
(NCSCOS)
Competency Goal 1: The
learner will understand and
compute with rational
numbers.
1.01
I can …
____set up proportions.
____cross multiply and divide.
____find percent of increase.
____find percent of decrease.
____find percent of change.
____find discounts, sale price,
taxes, and total cost.
____find commission and tips.
____use the formula I=P*R*T.
1.01 (Develop and use ratios,
proportions, and percents to
solve problems.)
1.02
I can…
____follow the rules of
operations of rational
numbers.
____add, subtract, multiply,
and divide fractions.
____add, subtract, multiply,
and divide, decimals.
____add, subtract, multiply,
and divide integers.
Priority
E, M, I,
N
E
E
E
E
E
E
I
E
M
M
M
E
Knowledge Targets
Reasoning Targets
Key vocabulary:
-rate
-ratio
-equivalent ratio
-proportions
-cross products
-unit rate
-percent of
change
(increase/decrease)
-interest
-simple interest
-principal
*Solve for missing
value in proportions.
*Find discounts, sale
price, taxes, and
total cost.
* Find percent of:
- increase
- decrease
- change
Key vocabulary:
- rational numbers
-analyze
-estimate
-solutions
-perfect square
-fraction
-decimal
-opposite
-integer
-absolute value
*Know rules of
adding, subtracting,
multiplying and
dividing rational
numbers.
*Explain how the
size of a number will
change depending
on the type of
operation
performed.
Performance/ Skill
Targets
Product Targets
I=P*R*T
*Under knowledge targets, words in bold are identified as essential academic vocabulary. Some words may be in
bold more than once.
E – Essential
M – Maintenance
I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
7th Grade – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
____explain how and why the
size of the solution
changes when multiplied
or divided by a fraction or
decimal.
____determine if a solution is
reasonable.
All
year
1.02 (Develop fluency in addition,
subtraction, multiplication and
division of rational numbers. A)
Analyze computational
strategies. B) Describe the effect
of operations on size. C)
Estimate the results of
computations. D) Judge the
reasonableness of solutions)
1.03
I can…
____solve problems using
pencil and paper.
____solve problems using a
calculator/computer.
____estimate an answer.
____choose the best strategy
to solve a problem.
____use mental math to solve
a problem.
____identify the key
operational terms.
Priority
E, M, I,
N
E
Knowledge Targets
Reasoning Targets
*Identify perfect
squares of integers
up to 20
*Estimate a
reasonable solution.
*Decide if the answer
will be reasonable.
Key vocabulary:
-estimate
-approximate
-about
-close to
-almost
*Purposefully teach
synonyms for
estimate/approximat
e
*Problem solving
strategies:
-make a table
*Solve problems
using:
-pencil and paper
-a calculator
-a computer
-estimation
-mental math
Performance/ Skill
Targets
Product Targets
M
M
M
M
M
M
M
*Under knowledge targets, words in bold are identified as essential academic vocabulary. Some words may be in
bold more than once.
E – Essential
M – Maintenance
I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
7th Grade – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
1st
2nd
2.01 (Draw objects to scale and
use scale drawings to solve
problems.)
2.02
I can…
____draw the net of a given 3D shape.
____figure out what a shape is
from the net that is given.
Reasoning Targets
Performance/ Skill
Targets
Key vocabulary:
-scale
-scale drawing
-scale factor
-scale model
*Determine scale
factor.
*Determine actual
size of scale
drawing.
*Determine
proportion to use to
solve problem.
*Move from scale
factor to normal
size and vice versa.
*Use proportion to
solve problem.
Key vocabulary:
-volume
-net
-surface area
-cubic unit
*Determine which
formula to use with
each 3-D figure.
*Determine parts of a
3-D figure.
*Use formula to find
surface area and
volume of a 3-D
object.
*Fold a net to form a
3-D object.
Product Targets
-guess and check
-work backwards
-draw a picture or
diagram
-make a list
-solve a simpler
similar problem
-find a pattern
-mental math
1.03 (Develop flexibility in solving
problems by selecting strategies
and using mental computation,
estimation, calculators or
computers, and paper and
pencil.)
Competency Goal 2: The
learner will understand and
use measurement involving
two and three dimensional
figures.
2.01
I can…
_____draw objects to scale.
_____take a scale drawing and
make it the real size.
Knowledge Targets
E
E
E
E
*Draw an object to
scale (enlarge or
reduce)
*Under knowledge targets, words in bold are identified as essential academic vocabulary. Some words may be in
bold more than once.
E – Essential
M – Maintenance
I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
7th Grade – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
____use formulas and/or nets
to find the surface area of
a 3-D object.
____use formulas and/or nets
to find the volume of a 3-D
object.
____find the perimeter and
area of an irregular figure.
2.02 (Solve problems involving
volume and surface area of
cylinders, prisms, and composite
shapes.)
Priority
E, M, I,
N
E
E
E
Knowledge Targets
-irregular figure
-cylinder
-prism
-face
-base
-polyhedron
-circumference
-diameter
-radius
-length
-height
-width
-dimensions
-lateral
*Identify figures
*Know formulas for
Surface Area of:
-Rectangular Prism
A= 2lw+2lh+2wh
-Cylinder
A=2πr2 +2πrh
*Know formulas for
Volume of:
-Rectangular Prism
V=lwh
-Triangular Prism
V=Bh
B=area of base
-Cylinder
V=πr2 h
Reasoning Targets
Performance/ Skill
Targets
Product Targets
*Cut open a 3-D
figure to create a
net.
*Under knowledge targets, words in bold are identified as essential academic vocabulary. Some words may be in
bold more than once.
E – Essential
M – Maintenance
I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
7th Grade – Math
Top
10
EC
2nd
1st
ISS Student Friendly Learning
Target
(NCSCOS)
Competency Goal 3: The
learner will understand and
use properties and
relationships in geometry.
3.01
I can…
____name the different shapes
by looking at different
sides.
____put a shape together
using cubes while looking
at top, front, and side
view.
____name the shape when it is
cut in half.
3.01 (Using three-dimensional
figures: a) identify, describe, and
draw from various views (top,
side, front, corner). b) Build from
various views. c) Describe
cross-sectional views.)
3.02
I can…
____apply the rules for similar
and congruent figures.
Priority
E, M, I,
N
E
Knowledge Targets
Key vocabulary:
-cross-section
-vertical
-horizontal
-base
E
Reasoning Targets
Performance/ Skill
Targets
Product Targets
*Determine the shape
of the object by
looking at different
sides.
*Predict the shape
when looking at a
cross-sectional view.
E
E
Key vocabulary:
-congruent
-similar
-polygons
-angle
measurements
-corresponding
sides
*Set up proportions.
*Cross multiply.
*Solve proportions.
*Determine whether
the figures are
similar.
*Under knowledge targets, words in bold are identified as essential academic vocabulary. Some words may be in
bold more than once.
E – Essential
M – Maintenance
I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
7th Grade – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
3.02 (Identify, define and
describe similar and
congruent polygons with
respect to angle measures,
length of sides and
proportionality of sides.)
1st
3.03
I can…
____use corresponding sides
to set up ratios to figure
out what is the
same/equal (congruent).
____use corresponding sides
to set up and solve a
proportion.
____use a given scale factor to
determine a missing
measurement.
E
Knowledge Targets
-corresponding
angles
-proportional
-ratio
*Similar and
congruent figures:
- are same shape,
not same size
-have equal angle
measures
-corresponding side
lengths are
proportional
Key vocabulary:
-scale
-indirect measure
E
Reasoning Targets
Performance/ Skill
Targets
Product Targets
*Compare two or
more figures to
determine
similarity/
congruence.
*Determine missing
value of similar
figures and/or an
indirect measure.
E
3.03 (Using scale and
proportional reasoning to solve
problems related to similar and
congruent polygons.)
*Under knowledge targets, words in bold are identified as essential academic vocabulary. Some words may be in
bold more than once.
E – Essential
M – Maintenance
I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
7th Grade – Math
Top
10
EC
2nd
ISS Student Friendly Learning
Target
(NCSCOS)
Competency Goal 4: The
learner will understand and
use graphs and data analysis.
4.01
I can…
____collect data.
____identify parts of a graph.
____organize the data into a
histogram.
____organize data into a box
and whiskers plot.
____determine appropriate
intervals for a set of data.
____organize data into a stemand-leaf plot.
____read and understand data
displayed in a bar graph,
circle graph, line graph,
and stem and leaf plot.
____read and understand data
displayed in a box and
whisker plot and in a
histogram.
4.01 (Collect, organize, analyze
and display data (including box
plots and histograms) to solve
problems.)
Priority
E, M, I,
N
M
M
E
E
E
M
M
E
Knowledge Targets
Reasoning Targets
Key vocabulary:
*Read and pull
-interval
requested data from
-median
graphs.
-upper extreme
*Organize collected
-lower extreme
data and match it to
-quartile
a graph.
-1st, 2nd and 3rd
quartile
-inter-quartile
range
-x axis
-y axis
*Identify a
cumulative
frequency table, bar
graph, histogram,
circle graph, line
graph, and box-andwhisker plot.
*Know percent and
fraction of each
quartile.
Performance/ Skill
Targets
Product Targets
*Conduct a survey.
*Collect
data/organize data
into the appropriate
graph.
*Under knowledge targets, words in bold are identified as essential academic vocabulary. Some words may be in
bold more than once.
E – Essential
M – Maintenance
I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
7th Grade – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
2nd
4.02
I can…
____find the mean.
____find the median.
____find the mode.
____find the range.
____find inter-quartile range.
____find the lower and upper
extremes.
____find the first and third
quartiles.
Priority
E, M, I,
N
E
M
M
M
E
E
E
4.03
I can…
____tell how a graph changes
when some data is added
to a given set of data
____tell how a graph changes
when some data is
removed from a
given set of data.
Reasoning Targets
Key vocabulary:
-central tendency
-mean
-median
-mode
-range
-inter-quartile
range
-frequency
distribution
*Evaluate the mean,
median, mode,
range, and interquartile range.
Performance/ Skill
Targets
Product Targets
*Calculate:
-mean
-median
-mode
-range
-inter-quartile
range
4.02 (Calculate, use and interpret
the mean, median, mode, range,
frequency distribution, and interquartile range for a set of data.)
2nd
Knowledge Targets
E
E
Key vocabulary:
-central tendency
-mean
-median
-mode
-range
-inter-quartile
range
-frequency
distribution
*Describe how a
graph changes
when some data is
added to or
removed from the
existing set of data.
*Under knowledge targets, words in bold are identified as essential academic vocabulary. Some words may be in
bold more than once.
E – Essential
M – Maintenance
I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
7th Grade – Math
Top
10
EC
2nd
2nd
ISS Student Friendly Learning
Target
(NCSCOS)
4.03 (Describe how the mean,
median, mode, range frequency
distribution and inter-quartile
range of a set of data affect its
graph.)
4.04
I can…
_____identify outliers
_____find mean with and
without outliers.
_____find median with and
without outliers.
_____find mode with and
without outliers.
_____find range with and
without outliers.
_____tell what changes in a
graph with and without
outliers.
4.04 (Identify outliers and
determine their effect on mean,
median, mode, and range.)
4.05
I can…
____compare graphs with two
or more sets of data.
Priority
E, M, I,
N
E
E
E
Knowledge Targets
Key vocabulary:
-outlier (extreme
piece of data)
*Identify outliers in a
set of data.
E
E
E
E
E
Key vocabulary:
-mean
-median
-mode
-range
-inter-quartile
range
Reasoning Targets
Performance/ Skill
Targets
Product Targets
*Determine mean,
median, mode and
range with and
without outliers.
*Compare graphs
with and without
outliers.
*Describe how a
graph changes
when outliers are
included in the data
versus not included.
*Compare
information in
graphs.
*Under knowledge targets, words in bold are identified as essential academic vocabulary. Some words may be in
bold more than once.
E – Essential
M – Maintenance
I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
7th Grade – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
Knowledge Targets
____solve problems with two
or more sets of
information with mean,
median, mode, range
and/or inter-quartile
range.
1st
4.05 (Solve problems involving
two or more sets of data using
appropriate statistical measures.)
Competency Goal 5: The
learner will demonstrate an
understanding of linear
relations and fundamental
algebraic concepts.
5.01
I can…
_____match a function table
with its equation
_____write an equation.
_____can identify a graph from
its equation.
_____find a missing number in
a sequence.
____match a set of solutions
to an equation.
Reasoning Targets
Performance/ Skill
Targets
Product Targets
*Evaluate the mean,
median, mode,
range and/or interquartile range.
E
E
N
E
E
Key vocabulary:
*Analyze components
-function table
of equation.
(x,y)
*Analyze sequences
-sequence
to predict missing
-linear
numbers.
-nonlinear
*Determine if an order
-coordinate plane pair is a solution in a
-ordered pair
function/linear
-less than
equation.
-greater than
-less than or
equal to
-greater than or
equal to
*Under knowledge targets, words in bold are identified as essential academic vocabulary. Some words may be in
bold more than once.
E – Essential
M – Maintenance
I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
7th Grade – Math
Top
10
EC
1st
ISS Student Friendly Learning
Target
(NCSCOS)
5.01 (Identify, analyze, and
create linear relations,
sequences, and functions using
symbols, graphs, tables,
diagrams, and written
descriptions.)
5.02
I can…
____match a function table to
its graph.
____find missing numbers in a
function table.
____identify and plot points
(ordered pairs) on a
coordinate plane.
____take a word problem and
make it a number problem
with an equal sign.
____take a word problem and
make it a number problem
using greater than, less
than, greater than or
equal to and less than or
equal to signs.
____name the different parts of
an equation.
____combine like terms.
____simplify an algebraic
expression.
Priority
E, M, I,
N
E
M
M
M
Knowledge Targets
Reasoning Targets
Performance/ Skill
Targets
Key vocabulary:
-expressions
-equations
-inequalities
-variable
-isolate
-inverse operation
-coefficient
-constant
-like terms
-distributive
property
*Rewrite algebraic
word problems using
numbers, variables
and symbols.
*Draw a graph based
on a function table.
*Isolate the variable
whether it is a singlestep equation or a
multi-step equation.
Product Targets
*Rewrite word
problems/algebraic
problems using
different symbols.
*Solve for the
unknown.
M
E
M
M
*Under knowledge targets, words in bold are identified as essential academic vocabulary. Some words may be in
bold more than once.
E – Essential
M – Maintenance
I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
7th Grade – Math
Top
10
EC
1st
2nd
ISS Student Friendly Learning
Target
(NCSCOS)
5.02 (Translate among different
representations of algebraic
expressions, equations and
inequalities)
5.03
I can…
____solve equations using
integers.
____solve equations using
decimals.
____solve equations using
fractions.
____solve 2-step equations.
____use inverse operations.
____isolate the variable.
____solve problems using
greater than, less than,
greater than or equal to
and less than or equal to
signs.
5.03 (Use and evaluate algebraic
expressions, linear equations or
inequalities to solve problems.)
5.04
I can …
____answer questions using
the correct formula.
Priority
E, M, I,
N
E
E
E
Knowledge Targets
Reasoning Targets
Key vocabulary:
-equations
-inequality
-variables
-isolate
-inverse
operations
-like terms
*Use inverse
operations.
*Isolate variables
*Solve inequalities
and equations.
*Determine when to
flip inequality sign.
*Volume of:
-Prism
-Rectangular
Prism
-Cylinder
*Determine which
formula needs to be
used based on the
context of the
question.
Performance/ Skill
Targets
Product Targets
E
E
E
E
E
*Apply the
appropriate formula
to context of the
question.
*Under knowledge targets, words in bold are identified as essential academic vocabulary. Some words may be in
bold more than once.
E – Essential
M – Maintenance
I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
7th Grade – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
____determine which formula
is needed to solve a
problem.
5.04 (Develop fluency in the use
of formulas to solve problems.)
Priority
E, M, I,
N
E
Knowledge Targets
Reasoning Targets
Performance/ Skill
Targets
Product Targets
*Surface Area of:
-Rectangular
Prism
-Cylinder
*Simple interest:
I=P*R*T
Maintain:
*Area and perimeter
of:
-Rectangle
-Parallelogram
-Square
-Triangle
-Circle
*Circumference of a
circle.
Key Academic Vocabulary:
-absolute value
-box-and-whisker plot
-coefficient
-constant
-corresponding angles
-corresponding sides
-cross-section
-cubic unit
-cumulative frequency table
-function table (x,y)
-inequality
-integer
-interest
-inter-quartile range
-inverse operations
-lower extreme
-mean
-net
-outlier
-percent of change
-perfect square
-principal
-quartile
-scale factor
-similar
-surface area
-unit rate
-upper extreme
-volume
*Under knowledge targets, words in bold are identified as essential academic vocabulary. Some words may be in
bold more than once.
E – Essential
M – Maintenance
I – Important
N – Nice to Know
Updated 6/10