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Curriculum Map (____7th _____grade level ____Math_____Subject)
Month
August
September
Main Concept
(General terms)
Unit Rates, Ratios –
including those with
rational numbers
Standards/Objectives
RP.1
Assessments
Pre-assessment
Compute unit rates associated
with ratios of fractions,
including ratios of lengths,
areas and other quantities
measured in like or different
units.
Proportional Relationships RP.1/RP.2
Using Tables and Graphs/ Recognize and represent
Constant of Proportionality proportional relationships
between quantities.
1
RP.1 CFA
Vocabulary
Resources
Rate, Ratio, Unit
Rate, Proportion,
equivalent ratios,
scaling up,
scaling down,
convert, variable,
means and
extremes, inverse
operations
Carnegie
Ch. 1
Direct
Variation,
Origin,
Constant of
Proportionality
Carnegie
Ch. 1 & 2
Ongoing
Resources:
Carnegie’s
Mathia Software,
Khan Academy,
Desk suggested
pacing & lesson
guides
October
Simple Interest, Tax,
Mark-ups and Markdowns, Tips and
Commissions, Fees,
Percent Increase and
Decrease, Percent of
Error
RP.3
RP.2 CFA
Use proportional relationships
to solve multistep ratio and
percent problems
RP.3 CFA
RP(Ratios &
Proportions)
Summative
Assessment
End of 1st
Term
Month
November
Main Concept
Add/Sub Rational
Numbers
Mult/Div Rational
Numbers
December
Mult/Div Rational
Numbers
Properties, Expressions
With rational numbers
Standards/Objectives
NS. 1
Assessments
NS.1 CFA
Apply and extend previous
understandings of addition and
subtraction to add and subtract
rational numbers; represent
addition and subtraction on a
horizontal or vertical number
line diagram
NS2.
NS.2
NS.2 CFA
Apply and extend previous
understandings of multiplication
and division and of fractions to
multiply and divide rational
numbers.
NS. 3
Solve real-world and
mathematical problems
involving with rational numbers.
2
NS(The Number
System)
Summative
Assessment
Interest,
Principal,
Simple
Interest,
Percent
Increase,
Percent
Decrease,
Depreciate,
Commission
Vocabulary
Additive Inverse
Zero Pair
Carnegie
Ch. 2 & 3
Resources
Carnegie
Ch. 4
Terminating
Decimals,
Non-terminating
Decimals
Carnegie
Ch. 5
Repeating
Decimals,
Non-Repeating
Decimals,
Bar Notation
Carnegie
Ch. 5
January
Distributive Property,
Expressions
EE.1 CFA
EE.2 CFA
Apply properties of operations
as strategies to add, subtract,
factor, and expand linear
expressions with rational
coefficients.
Understand that rewriting an
expression in different forms in a
problem context can shed a light
on the problem and how the
quantities in it are related.
End of 2nd
Term
Month
January
EE.1/EE.2 (Equations &
Expressions)
Main Concept
Equations/Inequalities
Standards/Objectives
EE.3/EE.4
Assessments
Real world application of EE.3/EE.4
multi-step equations and Apply properties of operations
to calculate with numbers in any
inequalities
form; convert between forms as
appropriate; and assess the
reasonableness of answers using
mental computation and
estimation strategies.
3
Vocabulary
Equation,
Properties of
Equalities, twostep equations,
Solve an
inequality
Solve multi-step real life and
mathematical problems posed
with positive and negative
rational numbers in any form
Use variables to represent
quantities in a real-world or
mathematical problem, and
construct simple equations and
inequalities to solve problems by
reasoning about the quantities.
February
Variable,
Algebraic
expression,
Distributive
Property, factor,
Greatest
Common Factor,
Like terms,
coefficient,
Combine like
terms.
EE.3 CFA
EE.4 CFA
EE (Equations &
Expressions)
Summative
Assessment
Multiplicative
Inverse, Multiply
by the
Reciprocal,
Unit Rate of
Change
Carnegie
Ch. 6
Resources
Carnegie
Ch. 7
Carnegie
Ch. 8
Feb. cont.
Data/Statistics/Graphs
SP.1/SP.2 (Statistics &
Probability
SP.1 CFA
SP.2 CFA
Survey, Data,
Population
Census Sample,
Random Number
Generator,
Random number
Table, Dot
Plot(line Plot),
Variability, Mean,
Median, Mode,
Spread, Range,
Mean Absolute
Deviation from
the Mean,
Sample Size
SP.3 CFA
SP.4 CFA
No New
Vocabulary
Understand that statistics can be
used to gain information about a
population by examining a
sample of the population.
Use data from a random sample
to draw inferences about a
population with an unknown
characteristic of interest.
Comparing Populations
SP.3/SP.4
Informally assess the degree of
visual overlap of two numerical
data distributions with similar
variabilities .
Use measures of center and
measures of variability for
numerical data .
4
Ch. 14
Carnegie
Ch. 15
March
End of 3rd
Term
Probability
Probability of a
Compound Event
SP.5/SP.6/SP.7
Understand the probability of a
chance event.
Approximate the probability of a
chance event.
SP.7/SP.8
Develop a model to find
probabilities of events.
Find probabilities of compound
events using organized lists,
tables, tree diagrams, and
simulation.
Month
March
March cont.
Main Concept
Using Geometry/
Constructions
Standards/Objectives
G.2/G.5
Draw geometric shapes with
given conditions.
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.
5
SP.5 CFA
SP.6 CFA
Outcome,
Experiment,
Sample Space,
Event
Carnegie
Ch. 16
SP.7 CFA
SP.8 CFA
Simple Event,
Compound
Event,
probability,
equally likely
Carnegie
Ch. 17
SP (Statistics &
Probability)
Summative
Assessment
Assessments
G.5 CFA
Vocabulary
Geometry,protractor
Compass, straightedge, sketch, draw
Construct,geometric
construction, point,
line, plane coplanar
lines, skew lines,
line segment,
endpoints arc,
congruent line
segments, ray,
congruent,
intersection, angle,
sides of an angle,
vertex, degrees,
acute angle, right
angle, obtuse angle
straight angle,
congruent angles,
Resources
Carnegie
Ch. 9
Ch. 9 cont.
April
Triangles
G.2
G.2 CFA
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.
April cont.
bisect, angle
bisector,
supplementary
angles,
complementary
angles,
perpendicular,
midpoint of a
segment, segment
bisector,
perpendicular
bisector, adjacent
angles, linear pair,
vertical angles
Triangle Sum
Theorem, remote
interior angles of a
triangle, Exterior
Angle Theorem,
Exterior Angle,
Inequality Theorem,
geometric figures,
congruent
geometric figures,
corresponding sides
Corresponding
angles, Included
angle, Included side
Triangle Inequality
Theorem
Carnegie
Ch.10
Scale Factor,
Aspect Ratio,
Scale Drawings
Carnegie
Ch. 11
Ch. 10 cont.
G.1 CFA
Scale Drawings/Scale
Factors
G.4 CFA
6
Circle, Center of
Circles
Slicing 3-D Figures/
Volume/Surface Area
Circle, Radius of
Circle, Pi,
Diameter,
Inscribed Circle
G.1
Solve problems involving scale
drawings of geometric figures,
including computing actual
lengths and area from a scale
drawing and reproducing a scale
drawing at a different scale.
G.3 CFA
G.6 CFA
G.4
Know the formulas for the area
and circumference of a circle
and use them to solve problems.
G.3/G.6
Describe the two-dimensional
figures that result from slicing
three-dimensional figures, as in
plane sections of right
rectangular prisms and right
rectangular pyramids
Solve real-world and
mathematical problems
involving area, volume and
surface area .
May/June
G (Geometry)
Summative
Assessment
End of 4th
Term
End of 4th
Term
7
cross-section,
pyramid, base of a
pyramid, lateral
faces of a pyramid,
lateral edges of a
pyramid, vertex of a
pyramid, height of a
pyramid, regular
pyramid, slant
height of a pyramid,
volume/surface/area
Carnegie
Ch. 12
Carnegie
Ch. 13
One additional unit will be added each term for the honors class.
7th Grade Honors Core Content
7th Grade Honors will cover all of the standards of the regular 7th Grade plus the following four standards:
7.H.1
Standard: Research and analyze ancient number systems.
Concepts and Skills to Master
• Explore the benefits and limitations of a variety of ancient number systems withintheir historical context, including Egyptian,
Roman, Babylonian, Chinese, orMayan numerals.
• Perform a variety of computations using different number systems.
• Compare and contrast ancient number systems and modern number systems.
7.H.2
Standard: Understand number systems using different bases and their applications.
Concepts and Skills to Master
• Research the use of number systems with different bases by different cultures.
• Understand the modern applications of number systems with different bases.
• Compare and contrast the benefits and limitations of number systems with different bases.
• Compute using different bases.
7.H.3
Standard: Examine the use of mathematics in creating codes.
Concepts and Skills to Master
• Explore codes used in everyday life such as zip codes, area codes, license plates, and social security numbers.
• Explore codes used in commerce such as check digits, UPC codes, and bank numbers.
• Explore various codes used in cryptography.
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7.H.4
Standards: Recognize and appreciate patterns in nature, art, and mathematics.
Concepts and Skills to Master
• Understand the origin of the Fibonacci Sequence, compute consecutive terms in the sequence, and be able to identify the
sequence in nature and art.
• Recognize where the Golden Ratio is found in nature and art.
• Create wallpaper patterns and tessellations using mathematical principles.
• Understand fractals as iterations of a process, recognize fractals in nature and art, and recreate basic fractals.
• Study the patterns found in Pascal’s Triangle.
• Research the use of patterns in a variety of cultures.
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