Download grade 8

South Carolina
8th GRADE MATH
2011-2012 Pacing Guide (Traditional)
Note: The Process Standards (8-1) have been included throughout the pacing guide in accordance with
the Assessment Guidelines provided by the South Carolina State Department of Education.
Unit
Introduction
(Day 1)
Integers
(Days 2-11)
Real Numbers
(Days 12-19)
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Days
1
10
8
Standard/
Indicator
N/A
Common
Core
N/A
8-2.1
8-2.2
8-2.5
8-1.2
8-1.6
8-1.7
8-2.3
8-2.4
8-2.6
8-1.3
8-1.4
8-1.5
8.NS.1
8.NS.2
8.EE.2
1
Major Topics/Concepts
Welcome back
 Math activity
 Course
expectations
 Class procedures
 Clerical duties
Absolute value
 Understand that
signs only indicate
direction, but
distance is always
positive
Operations with integers
 Know the meaning
of additive inverse
 Combine “double
negatives”
 Gain
computational
fluency
Multiply and divide
rational numbers
 Understand
equivalent
fractions
 Recognize
fractional forms of
one
 Understand the
impossibility of ÷
by 0
Approximate values of:
 Square roots
 Cube roots
 Irrational numbers
 All less than 1,000
Compare and order
rational and irrational
Notes
Connect
absolute value
to the number
line, so there is
a solid
foundation for
integer
operations
Use concrete
models to
illustrate
problems
Understand
that ÷ does
not always
result in a
smaller # and
× does not
always result
in a larger #
Understand
the
relationship
between
square roots &
area and
between cube
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8-1.6
Equations
(Days 20-41)
Days 42-43
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8-3.1
8-3.2
8-3.3
8-3.4
8-4.1
22
8-1.3
8-1.4
8-1.5
8-1.6
8-1.7
numbers using the
inequality symbols
 Include fractions,
decimals, and
percentages
Translate representations
of linear functions and
inequalities
 Verbal, graphic,
tabular, and
algebraic
 Produce each of
the various forms
given one form
Analyze verbal
representations for linear
key words
 Slope, rate of
change, initial
value, y-intercept
 Recall and
understand slopeintercept form
8.EE.7
Understand and identify
8.G.6
patterns
8.G.7
 Linear & nonlinear
Properties
 Understand and
use Commutative,
Associative, and
Distributive
Properties in
simplifying
algebraic
expressions
Solve equations
 1, 2, and multistep
Understand the
Pythagorean Theorem
and use it to solve story
problems
 Perfect and nonperfect squares
Review/1st Cumulative Benchmark
(covering all content through Day 41)
2
roots & volume
Link irrational
numbers to
shading the
rest of the
number line
Challenge:
given an
equation,
create a story
problem to fit
Graph linear
patterns and
identify
increasing and
decreasing
patterns when
discussing
slope
Applying law of
exponents and
roots,
performing
operations
with scientific
notation, and
distributing
variables not
required*
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Ratio, rate, proportion
 Understand
meaning of each
 Use in determining
discounts, taxes,
tips, and interest
 Review
percentages
 Solve real-world
problem requiring
proportional
reasoning
Similar figures
 Corresponding
angles
 Corresponding
sides
 Apply proportional
reasoning to solve
for missing sides
Measurement
 Distinguish
between accuracy
and precision and
use appropriately
 Determine
necessary
accuracy for a
real-life situation
 Understand error
on measurement
tools as half the
smallest unit
 Convert between
US Customary and
metric system
Circumference and area of
circles
 Understand radius
and diameter
 Understand the
difference in an
estimate of pi and
the exact value
Perimeter and area of
trapezoids
 Review area
formulas for
8-2.7
8-5.1
8-5.6
8-5.7
Proportions
(Days 44-59)
Perimeter and
Area
(Days 60-73)
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8-1.1
8-1.5
8-1.6
8-1.7
8-5.2
8-5.4
8-5.5
14
8-1.2
8-1.4
8-1.6
8-1.7
3
Measuring
attributes to a
certain
accuracy or
precision not
required
Use
dimensional
analysis to
cancel units
Include area
problems with
fractional parts
of a circle
Remind
students of
order of
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8-5.2
8-5.3
Volume
(Days 74-84)
11
8-1.1
8-1.2
8-1.4
8-1.6
8-1.7
Days 85-86
Graphing on
the
Coordinate
Plane
(Days 87-98)
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8-4.2
8-4.3
8-4.4
12
8-1.3
8-1.4
8-1.5
8-1.6
8-1.7
triangles and
parallelograms
 Understand
formula for area of
trapezoids and
substitute
accordingly to
solve problems
Changing dimensions
 Explain the change
in area that occurs
when one or more
of the dimensions
is changed
Understand the concepts
of/formulas for:
 Height of figure
vs. lateral height
 Cubic units vs.
square units
 Volume of prisms
& pyramids
 Volume of a
8.G.9
sphere
 Volume of a cone
Changing dimensions
 Explain the change
in volume that
occurs when one
or more of the
dimensions is
changed
nd
Review/2 Cumulative Benchmark
(covering all content through Day 84)
Graphing
 Use ordered pairs,
function tables,
equations, and
intercepts to graph
points and lines
8.EE.5
 Determine, x8.G.4
intercepts, yintercepts, and the
intersection of two
lines
Dilations
 Apply a dilation to
a square,
4
operations in
order to add
the bases first
Include
fractions,
decimals, and
exponents
Explaining
volume
changes when
a sphere’s
dimensions are
changed not
required*
Solving for the
x and yintercepts
without the
graph not
required*
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Matrices and
Scatterplots
(Days 99-108)
Linear
Functions
(Days 109-130)
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8-6.1
8-6.2
10
22
8-1.3
8-1.5
8-1.6
8-1.7
8-3.1
8-3.2
8-3.5
8-3.6
8-3.7
8-1.5
8-1.6
8-1.7
8.EE.5
8.F.1
8.F.2
8.F.3
8.F.4
8.F.5
8.SP.3
5
rectangle, or right
triangle in the
coordinate plane
 Understand scale
factors
 Use appropriate
notation for preimage and image
 Analyze the effect
of a dilation on the
coordinates of a
square, rectangle,
or right triangle
Matrices
 Organize data in a
matrix
 Understand the
components of a
matrix: rows,
columns, and size
 Identify elements
in a matrix by
position
Scatterplots
 Recognize data as
increasing,
decreasing, or
varying and
understand
appropriate
correlation
 Interpret a trend
in data using a line
of best fit
Translate representations
of linear functions and
inequalities
 Verbal, graphic,
tabular, and
algebraic
 Produce each of
the various forms
given one form
Analyze verbal
representations for linear
key words
 Slope, rate of
change, initial
Performing
mathematical
operations on
matrices not
required*
Compare lines
of best fit from
two sets of
data
Mathematically
finding the line
of best fit not
required*
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Days 131-132
Data Analysis
and
Probability
(Days 133-147)
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15
value, y-intercept
 Recall and
understand slopeintercept form
Linear equations
 Understand
structure of linear
equations to
classify
relationships as
linear or nonlinear
 Identify slope from
equation and from
graph
 Understand
meaning of slope
both in words and
on the graph
 Identify x and yintercepts
rd
Review/3 Cumulative Benchmark
(covering all content through Day 130)
Experimental vs.
theoretical probability
 Perform
simulations to
obtain
experimental
probability
8-6.3
Probability of dependent
8-6.4
events
8-6.5
 Multiply fractions,
8-6.6
use tree diagrams,
8-6.7
8.SP.1
lists, etc. in order
8-6.8
8.SP.2
find the probability
8.SP.3
of a two-stage
8-1.1
8.SP.4
event
8-1.2
Odds
8-1.3
 Understand
8-1.5
difference
8-1.6
between odds and
8-1.7
probability and
find both
Area models
 Analyze probability
using area models
Measures of central
tendency
6
Emphasize the
importance of
units in
interpreting
slope (miles
per hour, cost
per ticket, etc.)
Emphasize the
impact of very
small number
of trials vs. a
very large
number of
trials
Use colored
pencils and
look for
overlap on
area models
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 Mean, median,
mode, and range
 Understand what
each measure
indicates about the
data
Days 148-149
2
Review/Optional Comprehensive Benchmark
Days 150-160
11
Remediate/Review for PASS Test
Days 161-165
5
PASS Tests
Days 166-180
15
Remediate/Review/Enrich for Common Core Standards**
*According to Support Documents from the South Carolina State Department of Education
**8th Grade Common Core Standards not specifically stated in current 8th Grade SC State
Standards:
8.EE.1 Know and apply properties of integer exponents
8.EE.4 Perform operations with numbers expressed in scientific notation
8.EE.6 Use similar triangles to explain why slope is the same between any two points on a nonvertical line
8.EE.8 – Solve a system of two linear equations
8.G.1 -8.G.3 – Rotations, reflections, and translations
8.G.5 – Angle relationships when parallel lines are cut by a transversal
8.G.8 – Use the Pythagorean Theorem to find the distance between points on the coordinate
plane
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