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BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and
Identifier
The
Numb
er
Syste
m
7.4abc
[7-NS1]
[7-NS1a]
[7-NS1b]
[7-NS1c]
{Integ
er
/Unit}
Add and
Subtract
Integers
Content Standard Description
1st 9 Weeks- 42 days
ACT/Quality Core Standards
Description
7.4. 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.
7.4a. Describe situations in which opposite
quantities combine to make 0
7.4b. 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.
7.4c. 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 principle in real-world
contexts.
Algebra I Prerequisite A.1.c.
Algebra I Prerequisite A.1.f.
Page 1 of 33
Identify the location of a point with a
positive coordinate on the number line
Locate points on the number line and in the
first quadrant
Comprehend the concept of length on the
number line*
Apply number properties involving
positive/negative numbers
Standards
for
Mathemati
cal Practice
2
4
7
Critical
Area of
Focus
Textbook Resources
YES
Pre-algebra Book
2-2 Add integers
p.69
2-3 Subtract
integers p. 76
4-3 Add/Sub 1-step
equations p.186
7th Grade Book
2-2b Add Integers
p.88
2-2d Subtract
Integers p. 95
Additional Lesson 3
Number Line p771
4-1d 1-Step
Add/Sub Equations
p. 208
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and
Identifier
7.5ab
[7-NS2]
[7-NS2a]
[7-NS2b]
Multiply
and
Divide
Integers
Content Standard Description
1st 9 Weeks- 42 days
ACT/Quality Core Standards
Description
7.5. Apply and extend previous understandings of
multiplication and division and of fractions to
multiply and divide rational numbers.
Apply number properties involving
positive/negative numbers
Standards
for
Mathemati
cal Practice
2
4
7
Critical
Area of
Focus
Textbook Resources
YES
Pre-algebra Book
2-4 Multiply
Integers p. 85
2-5 Divide integers
p. 92
4-4 Mult/div 1-step
equations p. 193
7.5a. 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.
7th Grade Book
2-3c Multiply
Integers p104
2-3d Divide Integers
p109
4-2b 1-step
Mult/Div Equations
p. 215
7.5b. Understand that integers can be divided,
provided that the divisor is not zero, and every
quotient of integers (with nonzero 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.
Algebra I Prerequisite A.1.f.
7.6
[7-NS3]
Integer
Apps
7.6. Solve real-world and mathematical problems
involving the four operations with rational numbers.
(Computations with rational numbers extend the
rules for manipulating fractions to complex
fractions.)
Algebra I Prerequisite A.1.f.
Algebra I Prerequisite A.1.a.
Page 2 of 33
Solve multistep arithmetic problems that
involve planning or converting units of
measure (e.g., feet per second to miles per
hour)
Solve word problems containing several
rates, proportions, or percentages
Solve routine one-step arithmetic problems
(using whole numbers, fractions, and
decimals) such as single-step percent
Solve some routine two-step arithmetic
problems
Solve routine two-step or three-step
1
2
5
6
7
8
YES
This standard is not
taught in isolation,
but imbedded
throughout
different standards.
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and
Identifier
Content Standard Description
1st 9 Weeks- 42 days
ACT/Quality Core Standards
Description
Standards
for
Mathemati
cal Practice
Critical
Area of
Focus
Textbook Resources
1
2
3
4
5
6
7
8
YES
This standard is not
taught in isolation,
but imbedded
throughout
different standards.
arithmetic problems involving concepts
such as rate and proportion, tax added,
percentage off, and computing with a given
average
7.9
[7-EE3]
Algebra
Apps
The
Numb
er
Syste
m
7.4d
[7-NS1d]
7.9. Solve multistep real-life and mathematical
problems posed with positive and negative rational
numbers in any form (whole numbers, fractions, and
decimals), using tools strategically. Apply 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.
7.4d. Apply properties of operations as strategies to
add and subtract rational numbers.
Algebra I Prerequisite A.1.f.
Add and
Subtract
Rationals
{Fracti
on
Unit}
Page 3 of 33
Solve real-world problems using firstdegree equations
Write expressions, equations, or
inequalities with a single variable for
common pre-algebra settings (e.g., rate and
distance problems and problems that can
be solved by using proportions)
Write equations and inequalities that
require planning, manipulating, and/or
solving
Apply number properties involving
positive/negative numbers
2
4
7
YES
Pre-algebra Book
3-5 Add like
fractions p.149
3-6 Add unlike
fractions p. 155
4-3 Add/Sub 1-step
equations p.186
7th Grade Book
3-2c Add/Sub
Fractions p. 146
3-2d Add/Sub Mixed
p. 152
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and
Identifier
Content Standard Description
1st 9 Weeks- 42 days
ACT/Quality Core Standards
Description
Standards
for
Mathemati
cal Practice
Critical
Area of
Focus
Textbook Resources
4-1d 1-Step
Add/Sub Equations
p. 208
7.5c
[7-NS2c]
7.5c. Apply properties of operations as strategies to
multiply and divide rational numbers.
Apply number properties involving
positive/negative numbers
Algebra I Prerequisite A.1.f.
2
4
7
YES
Multiply
and
Divide
Rationals
7.5d
[7-NS2d]
Fraction
to
decimal
Page 4 of 33
7.5d. 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.
Algebra I Prerequisite A.1.f.
Apply number properties involving
positive/negative numbers
2
4
7
YES
Pre-algebra Book
3-3 Multiply
rationals p. 136
3-4 Divide rationals
p.143
4-4 Mult/div 1-step
equations p. 193
7th Grade Book
3-3b Multiply
Fractions p. 160
3-3d Divide
Fractions p. 168
4-2d Equations with
Rational Coeff. p.
221
Pre-algebra Book
3-1 Fraction to
decimal p.123
3-2 Rational
numbers p. 130
7th Grade Book
3-1b Terminating
and repeating p. 128
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
1st 9 Weeks- 42 days
ACT/Quality Core Standards
Description
Content
Standard #
and
Identifier
Content Standard Description
7.6
[7-NS3]
7.6. Solve real-world and mathematical problems
involving the four operations with rational numbers.
(Computations with rational numbers extend the
rules for manipulating fractions to complex
fractions.)
Rational
Apps
Algebra I Prerequisite A.1.f.
Algebra I Prerequisite A.1.a.
7.9
[7-EE3]
Algebra
Apps
NUMB
ER
SYSTE
M
Page 5 of 33
8.1
[8-NS1]
7.9. Solve multistep real-life and mathematical
problems posed with positive and negative rational
numbers in any form (whole numbers, fractions, and
decimals), using tools strategically. Apply 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.
8.1 Know that numbers that are not rational
are called irrational. Understand informally that
every number has a decimal expansion; for
rational numbers show that the decimal
expansion repeats eventually, and convert a
decimal expansion which repeats eventually
into a rational number.
Solve multistep arithmetic problems that
involve planning or converting units of
measure (e.g., feet per second to miles per
hour)
Solve word problems containing several
rates, proportions, or percentages
Solve routine one-step arithmetic problems
(using whole numbers, fractions, and
decimals) such as single-step percent
Solve some routine two-step arithmetic
problems
Solve routine two-step or three-step
arithmetic problems involving concepts
such as rate and proportion, tax added,
percentage off, and computing with a given
average
Solve real-world problems using firstdegree equations
Write expressions, equations, or
inequalities with a single variable for
common pre-algebra settings (e.g., rate and
distance problems and problems that can
be solved by using proportions)
Write equations and inequalities that
require planning, manipulating, and/or
solving
Exhibit knowledge of elementary
number concepts including
rounding, the ordering of
decimals, pattern identification,
absolute value, primes, and
greatest common factor
Standards Critical
for
Area of
Mathemati Focus
cal Practice
1
YES
2
5
6
7
8
1
2
3
4
5
6
7
8
2
6
7
YES
NO
Textbook Resources
This standard is not
taught in isolation,
but imbedded
throughout
different standards.
This standard is not
taught in isolation,
but imbedded
throughout
different standards.
GLENCOE PREALGEBRA Lessons:
3.1 – P. 123
(FRACTIONS AND
DECIMALS)
3.2 – P. 131
(RATIONAL
NUMBERS)
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and
Identifier
{Irrati
onal
Numb
ers}
EXPRE
SSINS
AND
EQUA
TIONS
Page 6 of 33
Content Standard Description
1st 9 Weeks- 42 days
ACT/Quality Core Standards
Description
Standards
for
Mathemati
cal Practice
Critical
Area of
Focus
Textbook Resources
10.2 – P. 565 (THE
REAL NUMBER
SYSTEM)
8.2
[8-NS2]
8.2 Use rational approximations of irrational
numbers to compare the size of irrational
numbers, locate them approximately on a
number line diagram, and estimate the value of
expressions.
8.4
[8-EE2]
8.4 Use square root and cube root symbols to
represent solutions to equations of the form x2
= p and x3 = p, where p is a positive rational
number. Evaluate square roots of small perfect
squares and cube roots of small perfect cubes.
Know that 2 is irrational.
Solve some routine two-step
arithmetic problems
Solve routine two-step or threestep arithmetic problems
involving concepts such as rate
and proportion, tax added,
percentage off, and computing
with a given average
Solve multistep arithmetic
problems that involve planning or
converting units of measure (e.g.,
feet per second to miles
per hour
Exhibit knowledge of elementary
number concepts including
rounding, the ordering of
decimals, pattern identification,
absolute value, primes, and
greatest common factor
Work with squares and square
roots of numbers
Work with cubes and cube roots
of numbers
2
4
7
8
NO
GLENCOE PREALGEBRA Lessons:
10.1 – P. 555
(SQUARES &
SQUARE ROOTS)
2
5
6
7
NO
GLENCOE PREALGEBRA Lessons:
10.2 – P. 565 (THE
REAL NUMBER
SYSTEM)
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and
Identifier
{Roots
}
EXPRE
SSINS
AND
EQUA
TIONS
{Laws
of
Expon
ents}
EXPRE
SSINS
AND
EQUA
TIONS
{Scient
ific
Notati
on
Page 7 of 33
Content Standard Description
1st 9 Weeks- 42 days
ACT/Quality Core Standards
Description
Standards
for
Mathemati
cal Practice
Critical
Area of
Focus
Textbook Resources
GLENCOE PREALGEBRA Lessons:
9.1 – P. 483
(POWERS &
EXPONENTS)
9.3 – P. 495 (
MULTIPLYING &
DIVDING
MONOMIALS)
9.4 – P. 500
(NEGATIVE
EXPONENTS)
9.6 – P. 515 (
POWERS OF
MONOMIALS)
GLENCOE PREALGEBRA Lessons:
9.5 –P. 507
(SCIENTIFIC
NOTATION)
8.3
[8-EE1]
8.3 Know and apply the properties of integer
exponents to generate equivalent numerical
expressions.
Work with scientific notation
Work problems involving positive
integer exponents
2
5
6
7
NO
8.5
[8-EE3]
8.5 Use numbers expressed in the form of a
single digit times an integer power of 10 to
estimate very large or very small quantities,
and to express how many times as much one is
than the other. [8-EE3]
Work with scientific notation
2
5
6
NO
8.6
[8-EE4]
8.6 Perform operations with numbers
expressed in scientific notation, including
problems where both decimal and scientific
notation are used. Use scientific notation and
choose units of appropriate size for
measurements of very large or very small
quantities (e.g., use millimeters per year for
Solve multistep arithmetic
problems that involve planning or
converting units of measure (e.g.,
feet per second to miles
per hour
Work with scientific notation
2
5
6
NO
ADDITIONAL
LESSON 6 – P. 908
(SCIENTIFIC
NOTATION USING
TECHNOLOGY)
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and
Identifier
Content Standard Description
1st 9 Weeks- 42 days
ACT/Quality Core Standards
Description
Standards
for
Mathemati
cal Practice
Critical
Area of
Focus
Textbook Resources
2
6
7
YES
Pre-algebra Book
4-1 Distributive
Property p. 173
4-2 Simplify
Algebraic
Expressions p.180
Additional Lesson 5
Factor linear
expressions p. 903
seafloor spreading). Interpret scientific
notation that has been generated by
technology.
Unit}
PREREQUISITES FOR:
ALGEBRA I - A.1.e
Expres
sions
and
Equati
ons
7.7
[7-EE1]
7.7. Apply properties of operations as strategies to
add, subtract, factor, and expand linear expressions
with rational coefficients.
Like
Terms,
Distributi
ve
Property,
Factoring
Geometry Prerequisite A.1.a.
Page 8 of 33
Combine like terms (e.g., 2x + 5x)
Add and subtract simple algebraic
expressions
7th Grade Book
Additional Lesson 5
Factor Linear Exp p.
773
Additional Lesson 6
Factor Linear Exp p.
775
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
2nd 9 Weeks- 42 days
ACT/Quality Core
Standards
Description
Domain
Content Standard
# and Identifier
Content Standard
Description
Expressions
and
Equations
7.9
[7-EE3]
7.9. Solve multistep real-life
and mathematical problems
posed with positive and
negative rational numbers in
any form (whole numbers,
fractions, and decimals), using
tools strategically. Apply
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.
Algebra Apps
{Equations
and
Inequalities
Unit}
7.10
[7-EE4]
[7-EE4a]
[7-EE4b]
Equations and
Inequalities
Page 9 of 33
7.10. 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.
7.10a. 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
Solve real-world problems
using first-degree
equations
Write expressions,
equations, or inequalities
with a single variable for
common pre-algebra
settings (e.g., rate and
distance problems and
problems that can be
solved by using
proportions)
Write equations and
inequalities that require
planning, manipulating,
and/or solving
Solve equations in the
form x + a = b, where a and
b are whole numbers or
decimals
Substitute whole numbers
for unknown quantities to
evaluate expressions
Solve one-step equations
having integer or decimal
answers
Evaluate algebraic
expressions by substituting
integers for unknown
quantities
Solve routine first-degree
equations
Perform straightforward
word-to-symbol
translations
Standards for
Mathematical
Practice
1
2
3
4
5
6
7
8
1
2
3
4
5
6
7
8
Critical
Area
of
Focus
YES
YES
Textbook Resources
This standard is not taught in
isolation, but imbedded
throughout different standards.
Pre-algebra Book
4-5 Two-step p.201
4-6 Write Equations p. 207
5-2 Variables on both sides p. 231
5-3 Inequalities p.236
5-4 Solving equations p. 243
5-5 Multi-step inequalities p. 250
7th Grade Book
4-3b 2-step Equations p. 230
Additional Lesson 7 2-step
Equations p. 781
Additional Lesson 8 2-step
Equations p. 783
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content Standard
# and Identifier
Content Standard
Description
2nd 9 Weeks- 42 days
ACT/Quality Core
Standards
Description
solution, identifying the
sequence of the operations
used in each approach.
7.10b. 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.
Algebra I Prerequisite A.1.c.
Geometry Prerequisite A.1.a.
Geometry Prerequisite A.1.b.
Page 10 of 33
Solve real-world problems
using first-degree
equations
Write expressions,
equations, or inequalities
with a single variable for
common pre-algebra
settings (e.g., rate and
distance problems and
problems that can be
solved by using
proportions)
Solve first-degree
inequalities that do not
require reversing the
inequality sign*
Manipulate expressions
and equations
Write expressions,
equations, and inequalities
for common algebra
settings
Solve linear inequalities
that require reversing the
inequality sign
Write equations and
inequalities that require
planning, manipulating,
and/or solving
Standards for
Mathematical
Practice
Critical
Area
of
Focus
Textbook Resources
4-4b Solve add/sub Inequalities p.
244
4-4c Solve mult/div inequalities p.
249
Additional Lesson 9 2-step
Inequalities p. 787
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
2nd 9 Weeks- 42 days
ACT/Quality Core
Standards
Description
Domain
Content Standard
# and Identifier
Content Standard
Description
EXPRESSINS
AND
EQUATIONS
8.9
[8-EE7]
8.9 Solve linear equations in
one variable.
8.9a
[8-EE7a]
8.9b
[8-EE7b]
8.9a Give examples of linear
equations in one variable
with one solution, infinitely
many solutions, or no
solutions. Show which of
these possibilities is the case
by successively transforming
the given equation into
simpler forms until an
equivalent equation of the
form x = a, a = a, or a = b
results (where a and b are
different numbers).
8.9b Solve linear equations
with rational number
coefficients, including
equations whose solutions
require expanding
expressions, using the
distributive property and
collecting like terms.
PREREQUISITES FOR:
Page 11 of 33
Work with scientific
notation
Standards for
Mathematical
Practice
2
5
6
7
Critical
Area
of
Focus
YES
YES
Work with scientific
notation
YES
Work with scientific
notation
Textbook Resources
GLENCOE PRE-ALGEBRA
Lessons:
4.3 – P. 186 (SOLVING
EQUATIONS BY ADDITION &
SUBTRACTION)
4.4 – P. 193 (SOLVING
EQUATIONS BY
MULTIPLICATION & DIVISION)
4.5 – P. 201 (SOLVING TWO STEP
EQUATIONS)
4.6 – P. 207 (WRITING
EQUATIONS)
5.2 – P. 231 (SOLVING
EQUATIONS WITH VARIABLES
ON BOTH SIDES)
5.5 – P. 250 (SOLVING MULTISTEP EQUATIONS &
INEQUALITIES)
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content Standard
# and Identifier
Content Standard
Description
2nd 9 Weeks- 42 days
ACT/Quality Core
Standards
Description
Standards for
Mathematical
Practice
Critical
Area
of
Focus
Textbook Resources
ALGEBRA 1 - A.1.a, A.1.c
GEOMETRY – A.1.b
ALGEBRA II – A.1.d
Ratios and
Proportional
Relationships
7.1
[7-RP1]
Unit Rates
{Proportions
Unit}
2
6
7.2. Recognize and represent
proportional relationships
between quantities.
Perform a single
computation using
information from a table or
chart
7.2a. 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.
Recognize equivalent
fractions and fractions in
lowest terms
1
2
3
4
5
6
7
8
Algebra I Prerequisite A.1.d
7.2
[7-RP2]
[7-RP2a]
[7-RP2b]
[7-RP2c]
[7-RP2d]
Proportional
Page 12 of 33
Solve multistep arithmetic
problems that involve
planning or converting
units of measure (e.g., feet
per second to miles per
hour)
Solve word problems
containing several rates,
proportions, or
percentages
7.1. Compute unit rates
associated with ratios of
fractions, including ratios of
lengths, areas, and other
quantities measured in like or
different units.
Read tables and graphs
Perform computations on
data from tables and
graphs
Locate points on the
number line and in the first
YES
YES
Pre-algebra Book
6-1 Ratios p.267
6-2 Unit rate p. 272
Additional Lesson 3 Complex Unit
Rates p.896
7th Grade Book
Additional Lesson 1 Complex Unit
Rates p. 759
Pre-algebra Book
6-4 Proportional/Nonproportional p. 285
6-5 Solve Proportions p.291
1-5 Table, Graph, Equation p.33
7th Grade Book
Additional Lesson 2 Graph
Proportions p. 765
5-1c Prop and non-prop
relationships p. 272
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content Standard
# and Identifier
Relationships
Content Standard
Description
2nd 9 Weeks- 42 days
ACT/Quality Core
Standards
Description
quadrant
7.2b. Identify the constant of
proportionality (unit rate) in
tables, graphs, equations,
diagrams, and verbal
descriptions of proportional
relationships.
Translate from one
representation of data to
another (e.g., a bar graph
to a circle graph)
7.2c. Represent proportional
relationships by equations.
Write expressions,
equations, or inequalities
with a single variable for
common pre-algebra
settings (e.g., rate and
distance problems and
problems that can be
solved by using
proportions)
7.2d. 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.
Exhibit knowledge of slope*
Manipulate data from
tables and graphs
Determine the slope of a
line from points or
equations*
Geometry PrerequisiteA.1.c..
Match linear graphs with
their equations*
Geometry PrerequisiteA.1.d.
Interpret and use
information from figures,
tables, and graphs
Geometry PrerequisiteA.1.e
Interpret and use
information from graphs in
the coordinate plane
Analyze and draw
conclusions based on
information from figures,
tables, and graphs
Draw conclusions based on
number concepts, algebraic
properties, and/or
relationships between
Page 13 of 33
Standards for
Mathematical
Practice
Critical
Area
of
Focus
Textbook Resources
5-1d Solve proportions p. 276
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content Standard
# and Identifier
Content Standard
Description
2nd 9 Weeks- 42 days
ACT/Quality Core
Standards
Description
Standards for
Mathematical
Practice
Critical
Area
of
Focus
Textbook Resources
expressions and numbers
Analyze and draw
conclusions based on
information from graphs in
the coordinate plane
Draw conclusions based on
a set of conditions
7.11
[7-G1]
Scale Drawings
Page 14 of 33
7.11. 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.
Estimate or calculate the
length of a line segment
based on other lengths
given on a geometric figure
Solve word problems
containing several rates,
proportions, or
percentages
Interpret and use
information from figures,
tables, and graphs
Solve problems integrating
multiple algebraic and/or
geometric concepts
Solve multistep geometry
problems that involve
integrating concepts,
planning, visualization,
and/or making connections
with other content areas
Use scale factors to
determine the magnitude
of a size change
1
2
3
4
5
6
7
8
YES
Pre-algebra Book
6-6 Scale drawings p. 298
6-7 Similar figures p. 305
7th Grade Book
5-2b Scale Drawings p. 284
5-3a Similar Figures p. 293
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and Identifier
EXPRESSINS
AND
EQUATIONS
8.7
[8-EE5]
{Slope Unit}
8.8
[8-EE6]
FUNCTIONS
8.13
[8-F3]
{y=mx+b}
(Introduce)
Page 15 of 33
3rd 9 Weeks- 48 days
Content Standard Description
ACT/Quality
Core Standards
Description
8.7 Graph proportional relationships,
Locate points in
interpreting the unit rate as the slope of the
the coordinate
graph. Compare two different proportional
plane
relationships represented in different ways.
Exhibit
knowledge of
slope
Match linear
graphs with their
equations
Standards for
Mathematica
l Practice
1
2
3
4
5
6
7
8
Critical
Area of
Focus
YES
8.8 Use similar triangles to explain why the
Match linear
slope m is the same between any two distinct graphs with their
points on a non-vertical line in the coordinate equations
plane; derive the equation y = mx for a line
through the origin and the equation y = mx +
b for a line intercepting the vertical axis at b.
2
3
4
5
7
8
YES
GLENCOE PREALGEBRA Lessons:
8.6 – P. 433(SLOPE)
ADDITIONAL LESSON 4
– P. 902
2
4
5
6
7
YES
GLENCOE PREALGEBRA Lessons:
9.7 – P. 520 (LINEAR &
NONLINEAR
FUNCTIONS)
PREREQUISITES FOR:
ALGEBRA - A.1.d
8.13 Interpret the equation y = mx + b as
defining a linear function whose graph is a
straight line; give examples of functions that
are not linear.
Determine the
slope of a line
from points or
equations
Match linear
graphs with their
equations
Interpret and use
information from
Textbook Resources
GLENCOE PREALGEBRA Lessons:
8.5 – P. 424(CONSTANT
RATE OF CHANGE &
DIRECT VARIATION)
6.4 – P. 285
(PROPORTIONAL &
NONPROPORTIONAL
RELATIONSHIPS)
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and Identifier
STATISTICS
AND
PROBABILITY
8.25
[8-SP1]
(Introduce)
{Scatter
Plots}
Ratios and
Proportional
Relationships
7.3
[7-RP3]
Expressions
and
Equations
Percent
Apps
{Percent
Unit}
Page 16 of 33
3rd 9 Weeks- 48 days
Content Standard Description
ACT/Quality
Core Standards
Description
graphs in the
coordinate plane
8.25 Construct and interpret scatter plots for Interpret and use
bivariate measurement data to investigate
information from
patterns of association between two
graphs in the
quantities. Describe patterns such as
coordinate plane
clustering, outliers, positive or negative
association, linear association, and nonlinear
association.
7.3. Use proportional relationships to solve
multistep ratio and percent problems.
Algebra I Prerequisite A.1.f.
Solve routine one-step
arithmetic problems
(using whole numbers,
fractions, and
decimals) such as
single-step percent
Solve some routine
two-step arithmetic
problems
Solve routine two-step
or three-step
arithmetic problems
involving concepts
such as rate and
proportion, tax added,
percentage off, and
computing with a
given average
Standards for
Mathematica
l Practice
Critical
Area of
Focus
2
4
5
6
7
YES
1
2
3
4
5
6
7
8
YES
Textbook Resources
GLENCOE PREALGEBRA Lessons:
13.1 P. 773 (MEASURES
OF CENTRAL
TENDENCY)
0.7 P. P20
1.6 P. 47 (SCATTER
PLOTS)
13.2 P. 785 (STEM-ANDLEAF PLOTS)
13.5 P. 805
(HISTOGRAMS)
13.4 P. 798 (BOX-ANDWHISKER PLOTS)
Pre-algebra Book
7-3 Percent proportions
p. 349
7-5 Percent equations
p.361
7-6 Percent change p.
368
7-7 Interest p. 374
7th Grade Book
6-2b Percent Proportion
p. 332
6-2c Percent Equation p.
337
6-3b Percent Change p.
346
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and Identifier
7.8
[7-EE2]
3rd 9 Weeks- 48 days
Content Standard Description
ACT/Quality
Core Standards
Description
7.8. 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.
Multiple
Forms of
Expressions
7.9
[7-EE3]
Algebraic
Apps
Page 17 of 33
7.9. Solve multistep real-life and mathematical
problems posed with positive and negative
rational numbers in any form (whole numbers,
fractions, and decimals), using tools strategically.
Apply 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.
Exhibit knowledge of
basic expressions (e.g.,
identify an expression
for a total as b + g)
Write expressions that
require planning
and/or manipulating
to accurately model a
situation
Solve real-world
problems using firstdegree equations
Write expressions,
equations, or
inequalities with a
single variable for
common pre-algebra
settings (e.g., rate and
distance problems and
problems that can be
solved by using
proportions)
Write equations and
inequalities that
require planning,
manipulating, and/or
solving
Standards for
Mathematica
l Practice
Critical
Area of
Focus
2
6
7
8
YES
1
2
3
4
5
6
7
8
YES
Textbook Resources
6-3c Sales Tax and Tips p.
351
6-3d Discount p. 355
6-3e Simple Interest p.
359
This standard is not
taught in isolation, but
imbedded throughout
different standards.
This standard is not
taught in isolation, but
imbedded throughout
different standards.
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and Identifier
7.10
[7-EE4]
Equations
Page 18 of 33
3rd 9 Weeks- 48 days
Content Standard Description
ACT/Quality
Core Standards
Description
7.10. 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.
Solve equations in the
form x + a = b, where
a and b are whole
numbers or decimals
Solve one-step
equations having
integer or decimal
answers
Solve routine firstdegree equations
Perform
straightforward wordto-symbol translations
Solve real-world
problems using firstdegree equations
Write expressions,
equations, or
inequalities with a
single variable for
common pre-algebra
settings (e.g., rate and
distance problems and
problems that can be
solved by using
proportions)
Manipulate
expressions and
equations
Write expressions,
equations, and
inequalities for
common algebra
settings
Write equations and
inequalities that
require planning,
manipulating, and/or
solving
Standards for
Mathematica
l Practice
1
2
3
4
5
6
7
8
Critical
Area of
Focus
YES
Textbook Resources
This standard is not
taught in isolation, but
imbedded throughout
different standards.
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and Identifier
Geometry
7.15
[7-G5]
{Geometric
Properties
Unit}
7.15. Use facts about supplementary,
complementary, vertical, and adjacent angles in a
multistep problem to write and solve simple
equations for an unknown angle in a figure.
Angles
8.20
[8-G5]
Angles
Page 19 of 33
3rd 9 Weeks- 48 days
Content Standard Description
ACT/Quality
Core Standards
Description
8.20 Use informal arguments to establish
facts about the angle sum and exterior angle
of triangles, about the angles created when
parallel lines are cut by a transversal, and the
angle-angle criterion for similarity of
triangles.
Exhibit knowledge of
basic angle properties
and special sums of
angle measures (e.g.,
90°, 180°, and 360°)
Use several angle
properties to find an
unknown angle
measure
Interpret and use
information from
figures, tables, and
graphs
Solve problems
integrating multiple
algebraic and/or
geometric concepts
Solve multistep
geometry problems
that involve
integrating concepts,
planning, visualization,
and/or making
connections with
other content areas
Exhibit some
knowledge of the
angles associated
with parallel lines
Find the measure
of an angle using
properties of
parallel lines
Exhibit
knowledge of
basic angle
Standards for
Mathematica
l Practice
1
2
3
4
5
6
7
8
Critical
Area of
Focus
YES
3
4
5
6
7
YES
Textbook Resources
Pre-algebra Book
11-1 Angle Relationships
p. 619
7th Grade Book
12-1a Angle Relationships
p. 674
GLENCOE PREALGEBRA Lessons:
10.3 – P. 573
(TRIANGLES)
EXTENTION 10.3 – P. 578
11.1 – P. 619 (ANGLES &
LINE RELATIONSHIPS)
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and Identifier
7.12
[7-G2]
Triangles
7.13
[7-G3]
3rd 9 Weeks- 48 days
Content Standard Description
ACT/Quality
Core Standards
Description
properties and
special sums of
angle measures
(e.g., 90°, 180°,
and 360°)
7.12. 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.
7.13. Describe the two-dimensional figures that
result from slicing three-dimensional figures, as in
plane sections of right rectangular prisms and
right rectangular pyramids.
Slicing
Geometry
7.14
[7-G4]
{Circle Unit}
Circles
Page 20 of 33
7.14. 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.
Use properties of
isosceles triangles*
Interpret and use
information from
figures, tables, and
graphs
Solve multistep
geometry problems
that involve
integrating concepts,
planning, visualization,
and/or making
connections with
other content areas
Interpret and use
information from
figures, tables, and
graphs
Solve multistep
geometry problems
that involve
integrating concepts,
planning, visualization,
and/or making
connections with
other content areas
Use geometric
formulas when all
necessary information
is given
Compute the area and
circumference of
circles after identifying
Standards for
Mathematica
l Practice
Critical
Area of
Focus
4
5
6
7
8
YES
1
2
3
4
5
6
7
8
YES
1
2
3
4
5
Textbook Resources
Pre-algebra Book
Additional Lesson 7 Draw
Triangles p.910
7th Grade Book
Additional Lesson 11
Draw Triangles p. 793
12-1c Triangles p.681
Pre-algebra Book
12-1 Three-D Figures
p.706
7th Grade Book
Additional Lesson 12
Cross Sections p. 795
YES
Pre-algebra Book
11-7 Circumference p.671
11-8 Area p.678
7th Grade Book
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard #
and Identifier
3rd 9 Weeks- 48 days
Content Standard Description
ACT/Quality
Core Standards
Description
necessary information
Interpret and use
information from
figures, tables, and
graphs
Solve problems
integrating multiple
algebraic and/or
geometric concepts
Solve multistep
geometry problems
that involve
integrating concepts,
planning, visualization,
and/or making
connections with
other content areas
Page 21 of 33
Standards for
Mathematica
l Practice
6
7
8
Critical
Area of
Focus
Textbook Resources
Additional Lesson Circ &
Area of Circles p. 801
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard # and
Identifier
Geometry
7.16
[7-G6]
{Area,
Volume, and Volume and
Surface Area
Surface
Unit}
Area
8.24
[8-G9]
Page 22 of 33
Content Standard
Description
4th 9 Weeks- 43 days
ACT/Quality Core
Standards
Description
Standards for
Mathematical
Practice
7.16. Solve real-world and
mathematical problems
involving area, volume, and
surface area of two- and threedimensional objects composed
of triangles, quadrilaterals,
polygons, cubes, and right
prisms.
Use geometric formulas
when all necessary
information is given
Compute the area of
triangles and rectangles
when one or more
additional simple steps are
required
Interpret and use
information from figures,
tables, and graphs
Solve problems integrating
multiple algebraic and/or
geometric concepts
Solve multistep geometry
problems that involve
integrating concepts,
planning, visualization,
and/or making
connections with other
content areas
Compute the area of
composite geometric
figures when planning or
visualization is required
1
2
3
4
5
6
7
8
8.24 Know the formulas for
the volumes of cones,
cylinders, and spheres, and
use them to solve real-world
and mathematical problems.
Solve multistep
arithmetic problems
that involve planning
or converting units
of measure (e.g.,
feet per second to
miles
per hour)
Use geometric
1
2
3
4
5
6
7
8
Critical
Area
of
Focus
YES
Textbook Resources
Pre-algebra Book
11-6 Area p. 662
12-2 Volume p.713
12-5 Surface Area p. 733
7th Grade Book
10-1b Volume of Prisms p. 558
10-2b Surface Area of Prisms p. 582
YES
GLENCOE PRE-ALGEBRA Lessons:
12.3 – P. 719 (VOLUME OF
CYLINDERS)
12.4 – P. 725 (VOLUME OF
PYRAMIDS, CONES & SPHERES)
*NOT PYRAMIDS
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard # and
Identifier
Content Standard
Description
4th 9 Weeks- 43 days
ACT/Quality Core
Standards
Description
Standards for
Mathematical
Practice
Critical
Area
of
Focus
Textbook Resources
formulas when all
necessary
information is given
Statistics and
Probability
{Statistics
Unit}
7.17
[7-SP1]
Populations
7.18
[7-SP2]
Inferences
7.19
[7-SP3]
Visual
Overlap
Page 23 of 33
7.17. 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.
7.18. 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.
7.19. 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
Analyze and draw
conclusions based on
information from figures,
tables, and graphs
3
6
YES
Pre-algebra Book
13-7 Using Sampling p. 821
7th Grade Book
8-3e Use Date to Predict p. 468
Calculate the average of a
list of numbers
Read tables and graphs
Perform computations on
data from tables and
graphs
Manipulate data from
tables and graphs
Interpret and use
information from figures,
1
2
3
5
6
7
YES
1
2
3
4
5
6
YES
Pre-algebra Book
13-7 Additional Lesson 12 Multiple
Samples p. 930
7th Grade Book
8-3f Unbiased/biased Samples p. 472
Pre-algebra Book
Additional Lesson 10 Visual Overlap
p. 922
7th Grade Book
Additional Lesson 15 Visual Overlap
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard # and
Identifier
Content Standard
Description
measure of variability.
7.20
[7-SP4]
Compare
Populations
Statistics and
Probability
{Probability
Unit}
Page 24 of 33
7.21
[7-SP5]
7.20. Use measures of center
and measures of variability for
numerical data from random
samples to draw informal
comparative inferences about
two populations.
7.21. 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.
4th 9 Weeks- 43 days
ACT/Quality Core
Standards
Description
tables, and graphs
Distinguish between mean,
median, and mode for a
list of numbers
Analyze and draw
conclusions based on
information from figures,
tables, and graphs
Read tables and graphs
Perform computations on
data from tables and
graphs
Manipulate data from
tables and graphs
Interpret and use
information from figures,
tables, and graphs
Distinguish between mean,
median, and mode for a
list of numbers
Analyze and draw
conclusions based on
information from figures,
tables, and graphs
Use the relationship
between the probability of
an event and the
probability of its
complement
Determine the probability
of a simple event
Compute straightforward
probabilities for common
situations
Standards for
Mathematical
Practice
Critical
Area
of
Focus
7
1
2
3
4
5
6
7
4
5
6
7
Textbook Resources
p. 809
YES
Pre-algebra Book
Additional Lesson 11 Compare
Populations p. 924
7th Grade Book
Additional Lesson Compare
Populations p. 811
NO
Pre-algebra Book
7th Grade Book
8-1a Probability and Simple Events p.
429
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard # and
Identifier
7.22
[7-SP6]
Content Standard
Description
Geometry Prerequisite A.1.f.
7.22. 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.
Geometry Prerequisite A.1.f.
7.23ab
[7-SP7]
[7-SP7a]
[7-SP7b]
7.23. 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.
7.23a. Develop a uniform
probability model by assigning
equal probability to all
outcomes, and use the model to
determine probabilities of
events.
7.23b. Develop a probability
model (which may not be
uniform) by observing
frequencies in data generated
Page 25 of 33
4th 9 Weeks- 43 days
ACT/Quality Core
Standards
Description
Use the relationship
between the probability of
an event and the
probability of its
complement
Determine the probability
of a simple event
Compute straightforward
probabilities for common
situations
Use the relationship
between the probability of
an event and the
probability of its
complement
Determine the probability
of a simple event
Compute straightforward
probabilities for common
situations
Standards for
Mathematical
Practice
Critical
Area
of
Focus
1
2
3
4
5
NO
1
2
3
4
5
6
7
8
NO
Textbook Resources
Pre-algebra Book
7th Grade Book
8-3b Simulations p. 463
Pre-algebra Book
13.6 Theoretical/Experimental p. 813
7th Grade Book
8-3a Theoretical/Experimental p. 458
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard # and
Identifier
Content Standard
Description
4th 9 Weeks- 43 days
ACT/Quality Core
Standards
Description
Standards for
Mathematical
Practice
Critical
Area
of
Focus
1
2
4
5
7
8
NO
Textbook Resources
from a chance process.
7.24abc
[7-SP8]
[7-SP8a]
[7-SP8b]
[7-SP8c]
Geometry Prerequisite A.1.f.
7.24. Find probabilities of
compound events using
organized lists, tables, tree
diagrams, and simulation.
7.24a. 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.
7.24b. Represent sample spaces
for compound events using
methods such as organized lists,
tables, and tree diagrams. For
an event described in everyday
language (e.g., "rolling double
sixes"), identify the outcomes in
the sample space which
compose the event.
7.24c. Design and use a
simulation to generate
frequencies for compound
events.
*
PLAN and ACT only
Page 26 of 33
Exhibit knowledge of
simple counting
techniques*
Apply counting techniques
Pre-algebra Book
13-8 Counting p. 827
13-10 Compound Probability p. 840
Additional Lesson 13 Simulate
Compound Events p. 932
7th Grade Book
8-1b Sample Spaces p. 435
8-1c Count Outcomes p. 440
8-2b Independent/Dependent
Events p. 450
Additional Lesson 17: Simulate
Events p. 817
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard # and
Identifier
Content Standard
Description
Geometry Prerequisite A.1.f.
Page 27 of 33
4th 9 Weeks- 43 days
ACT/Quality Core
Standards
Description
Standards for
Mathematical
Practice
Critical
Area
of
Focus
Textbook Resources
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
GEOMETRY
{Transform
Unit}
Content
Standard # and
Identifier
Content Standard
Description
8.16
[8-G1]
8.16 Verify experimentally
the properties of rotations,
reflections, and translations:
8.16a
[8-G1a]
8.16a ines are taken to lines,
and line segments are taken
to line segments of the same
length.
8.16b
[8-G1b]
8.16c
[8-G1c]
8.17
[8-G2]
8.18
[8-G3]
Page 28 of 33
8.16b Angles are taken to
angles of the same measure.
8.16c Parallel lines are taken
to parallel lines.
8.17 Understand that a twodimensional figure is
congruent to another if the
second can be obtained from
the first by a sequence of
rotations, reflections, and
translations; given two
congruent figures, describe a
sequence that exhibits the
8.18 Describe the effect of
dilations, translations,
rotations, and reflections on
two-dimensional figures
4th 9 Weeks- 43 days
ACT/Quality Core
Standards
Description
Exhibit some
knowledge of the
angles associated
with parallel lines
Standards for
Mathematical
Practice
4
5
6
7
8
Exhibit some
knowledge of the
angles associated
with parallel lines
Exhibit some
knowledge of the
angles associated
with parallel lines
Exhibit some
knowledge of the
angles associated
with parallel lines
Exhibit some
knowledge of the
angles associated
with parallel lines
Critical
Area
of
Focus
YES
YES
YES
YES
2
4
6
7
3
4
5
6
7
YES
YES
Textbook Resources
GLENCOE PRE-ALGEBRA Lessons:
2.7 – P. 103 (TRANSLATIONS &
REFLECTIONS ON THE
COORDINATE PLANE
11.3 - P. 639 (ROTATIONS)
ADDITIONAL LESSON 9 – P. 916
ADDITIONAL LESSON 8 – P. 911
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard # and
Identifier
Content Standard
Description
4th 9 Weeks- 43 days
ACT/Quality Core
Standards
Description
using coordinates.
Exhibit some
knowledge of the
angles associated
with parallel lines
Page 29 of 33
Standards for
Mathematical
Practice
Critical
Area
of
Focus
Textbook Resources
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard # and
Identifier
Content Standard
Description
GEOMETRY
8.19
[8-G4]
8.19 Understand that a twodimensional figure is similar
to another if the second can
be obtained from the first by
a sequence of rotations,
reflections, translations, and
dilations; given two similar
two-dimensional figures,
describe a sequence that
exhibits the similarity
between them.
{Transform
Unit Cont…}
Page 30 of 33
4th 9 Weeks- 43 days
ACT/Quality Core
Standards
Description
Apply properties of
30°-60°-90°, 45°-45°90°, similar, and
congruent triangles
Standards for
Mathematical
Practice
2
4
5
6
7
Critical
Area
of
Focus
YES
Textbook Resources
GLENCOE PRE-ALGEBRA Lessons:
ADDITIONAL LESSON 9 – P. 916
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Domain
Content
Standard # and
Identifier
Teach only if
extra time…
8.10
[8-EE8]
8.10 Analyze and solve pairs
of simultaneous linear
equations.
EXPRESSIONS
AND
EQUATIONS
8.10a
[8-EE8a]
8.10a Understand that
solutions to a system of two
linear equations in two
variables correspond to
points of intersections of
their graphs because points
of intersection satisfy both
equations simultaneously.
{Systems of
Equations}
8.10b
[8-EE8b]
8.10c
[8-EE8c]
Content Standard
Description
Find solutions to
systems of linear
equations
Find solutions to
systems of linear
equations
Standards for
Mathematical
Practice
1
2
3
4
5
6
7
8
Critical
Area
of
Focus
YES
YES
YES
Find solutions to
systems of linear
equations
8.10b Solve systems of two
linear equations in two
variables algebraically, and
estimate solutions by
graphing the equations. Solve
Find solutions to
simple cases by inspection.
systems of linear
8.10c Solve real-world and
equations
mathematical problems
leading to two linear
equations in two variables.
PREREQUISITES FOR:
ALGEBRA II – A.1.e
Page 31 of 33
4th 9 Weeks- 43 days
ACT/Quality Core
Standards
Description
YES
Textbook Resources
GLENCOE PRE-ALGEBRA Lessons:
8.10 – P. 461(SYSTEMS OF
EQUATIONS)
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Essential Vocabulary From 7th COS
1st 9 Weeks
Integer
Opposite
Additive Inverse
Absolute value
Rational number
Terminating
Non-terminating
Repeating
Complex fraction
Numerator
Denominator
Estimate
Rational coefficients
Distributive property
Factoring
Like terms
Page 32 of 33
2nd 9 Weeks
Estimate
Variable
Constant
Coefficient
Expression
Equation
Inequalities
Symbols of inequality
Open
Closed
Opposite
Substitution
Solution
Rational coefficients
Multi-step equation
Distributive property
Unit rate
Ratio
Complex fraction
Units
Proportional relationship
Table
Graph
Equation
Coordinate plane
Unit rate
Constant of proportionality(slope)
Scale drawing
Scale
Proportion
Corresponding sides
Similar figures
3rd 9 Weeks
Percent
Simple interest
Tax
Discount
Commission
Percent increase, decrease, and error
Mark up or down
Estimate
Expression
Variable
Equation
Opposite
Substitution
Solution
Supplementary angles
Complementary angles
Vertical angles
Adjacent angles
Protractor
Triangles
Scalene/Isosceles/Equilateral
Equiangular/Acute/Obtuse/Right
Circle
Area
Circumference
Radius
Diameter
4th 9 Weeks
Volume
Surface area
Trapezoid
Quadrilateral
Square
Rectangle
Rhombus
Parallelogram
Polygon
Right prism
Statistics
Population
Representative samples
Predictions
Inferences
Visual Overlap
Measure of variability
Mean absolute deviation
Measure of Center
Informal comparative inferences
Probability
Likely/ Unlikely
Event
Outcome
Frequency
Prediction
Uniform probability model
Counting tree
Fundamental Counting Principle
Compound event
Sample space
Simulation
BCSS Mathematics Pacing Guide 2013-14
7th Grade Advanced
Essential Vocabulary From 8th COS
1st 9 Weeks
COS #1 Rational, Irrational,
Repeats Eventually
COS #2 Approximate, about
COS #3 Base, Integer Exponents,
Equivalent,
Numerical Expressions
COS #4 Square root, Cube root,
Perfect
Squares, Perfect Cubes
COS #5 Scientific notation, Wholenumber
power of 10
COS # 6 Decimal Notation
COS #7 Slope, constant change of
rate
COS #8 Proportional Relationship,
unit rate,
y-intercept, similar figures
Page 33 of 33
2nd 9 Weeks
COS #9 Linear Equation, infinitely
many solutions,
no solution
COS #9b Coefficient, distributive
property, like
terms
COS #10 System of linear equations
COS #10a Intersection
COS #10b Elimination, substitution
COS #11 Function, relation, input,
output
COS #13 Linear function, non-linear
function
COS #14 Initial value of the function,
slope-intercept Form
COS #15 Increasing, decreasing,
linear, nonlinear
3rd 9 Weeks
COS #16 Rotation, reflection, translation
COS #16a Transformation, preimage,
image,
Congruent
COS #18 Coordinates, dilations
COS #20 Informal arguments, angle sum,
exterior
angles, parallel lines,
transversal,
angle-angle criterion for similar
triangles
COS #21 Pythagorean Theorem,
converse, leg,
hypotenuse, right triangle
4th 9 Weeks
COS #24 Cone, cylinder, sphere
COS #25 Box-and-whisker, pie
charts, line
plots, stem-and-leaf
Scatter plot,
Bivariate measurement
data,
clustering, outliers,
positive &
negative association,
linear &
nonlinear association
COS #26 Scatter plot, linear
association,
Quantitative Variable
COS #28 Categorical data,
frequencies, relative
frequencies, categorical
variables