RCAS - SECONDARY PACING GUIDE 2014-15
Course
Weeks
Months
7th grade
Units
Shapes and
Designs
**Skip 2.3 and
2.4
(Introduce vocab
of exterior angles
with interior
angles)
Power Teaching
framework:
1
2
A
u
g
3
4
5
Sept
6
7
8
9
10
Oct
11
12
13
Nov
14
15
16
17
18
19
20
Dec
21
22
23
24
Jan
25
26
27
Feb
Accentuate the
Negative
Supplement
ed UnitBalancing
equations
Stretching and Shrinking
Comparing
and Scaling
Filling and
Wrapping
Skip
Investigation
4
7.EE.B Solve
real-life and
mathematical
problems
using
numerical and
algebraic
expressions
and
equations. [m]
7.RP.A
Analyze
proportional
relationships
and use them
to solve realworld and
mathematical
problems. [m]
7.NS.A Apply
and extend
previous
understandings
of operations
with fractions
to add,
subtract,
multiply, and
divide rational
numbers. [m]
7.G.A Draw,
construct and
describe
geometrical
figures and
describe the
relationships
between
them. [a/s]
7.G.B Solve
real-life and
mathematical
problems
involving
angle
measure,
area, surface
area, and
volume. [a/s]
7.NS.A Apply
and extend
previous
understanding
s of
operations
with fractions
to add,
subtract,
multiply, and
divide rational
numbers. [m]
28
29
30
31
32
33
Mar
34
7.G.A Draw,
construct and
describe
geometrical figures
and describe the
relationships
between them. [a/s]
7.G.B Solve real-life
and math problems
involving angle
measures. [m]
7.NS.A Apply and
extend previous
understandings of
operations with
fractions to add,
subtract, multiply, and
divide rational
numbers. [m]
7.EE.A Use properties
of operation to
generate equivalent
expressions. [m}
7.EE.A Use
properties of
operations to
generate
equivalent
expressions.
[m]
7.EE.B Solve
real-life and
mathematical
problems
using
numerical and
algebraic
expressions
and equations.
[m]
7.RP.A Analyze proportional
relationships and use them to solve
real-world and mathematical
problems. [m 7.G.A Draw, construct
and describe geometrical figures
and describe the relationships
between them. [a/s]
Additional
Supporting
Standards
**Optional
7.EE.A Uses
properties of
operations to
generate equivalent
expressions. [m]
7.EE.B Solve real-life
and math problems
using numerical and
algebraic
expressions and
equations. [m]
7.EE.B Solve real-life
and mathematical
problems using
numerical and
algebraic expressions
and equations. [m]
7.RP.A
Analyze
proportional
relationships
and use them
to solve realworld and
math
problems. [m]
7.EE.B Solve real-life and
mathematical problems using
numerical and algebraic
expressions and equations. [m]
7.G.B Solve real-life and
mathematical problems involving
angle measure, area, surface area,
and volume. [a/s]
36
Apr
What do you Expect?
Skip Investigation 5
Routines
Build Community
Discourse
Essential
Standards
35
7.SP.C Investigate chance processes
and develop, use, and evaluate
probability models. [s]
7.RP.A Analyze proportional
relationships and use them to solve
real-world and mathematical
problems. [m]
37
38
39
May
S
m
ar
te
r
B
al
a
nc
e
d
Samples and
Populations
7.SP.A Use random
sampling to draw
inferences about a
population. [a/s]
7.SP.B Draw
informal
comparative
inferences about
two populations.
[a/s]
RCAS - SECONDARY PACING GUIDE 2014-15
Essential
Questions
Essential
Learning
Targets
1. Can students
compare and
contrast polygons?
2. When should
students use
estimation,
freehand drawing,
or tools to measure
and construct
angles and
polygons?
3. How do the side
lengths and angles
determine their
shapes?
4. How can I give
directions for
constructing
polygons that meet
conditions of any
given problem?
Students will be able
to describe
geometrical shapes.
Students will be able
to construct and
analyze angles.
Students will be able
to identify and use
supplementary,
complementary,
vertical, and adjacent
angles.
Students will be able
to find missing
angles and side
lengths in polygons
1. How do negative and
positive numbers and 0
help describe the
situation?
2. What will addition,
subtraction,
multiplication, or
division of rational
numbers tell about the
problem?
3. What model for
positive and negative
numbers and 0 help
show relationships in
the problem situation?
1. How can I
write an
equation to
represent
real-life
mathematical
situation?
2. How do we
solve a one
step or
multistep
single variable
equation?
3. How can I
check to see if
the solution
to an
equation is
correct?
Students will be able
to solve real-world
problems involving
rational numbers with
addition, subtraction,
mutliplication, and
division.
Students will be able
to write equivalent
expressions using
properties of
operations
Students will
be able to
write an an
equation to
represent
real-life
mathematical
situation.
Students will
be able to
solve a
multistep
equation.
1. What determines whether two
shapes are similar?
2. What is the same and different
about two similar figures?
3. How are the side lengths, areas,
and scale factors of similar figures
related?
4. How can I use similar figures to
find the missing measurements?
Students will be able to compute and
use unit rate in real world situations.
Students will be able to identify,
represent and analyze proportional
relationships.
Students will be able to use
proportional relationships in various
formats(e.g. verbal, table, graph,
equation) to solve real world
problems.
Students will be able to create a
scale drawing of a given figure using
scale factor.
Students will be able to find missing
lengths and areas of scale drawings
using scale factor.
1. What
quantities are
being
compared?
2. Why does
the situation
involve a
proportional
relationship
(or not)?
3. How might
ratios, rates,
or a
proportion be
used to solve
the problem?
Students will
be able to use
proportions to
solve
multistep ratio
and percent
problems.
Students will
be able to
recognize the
difference
between
proportional
relationships
(e.g. part-part
and partwhole).
1. What are
the shapes
and
properties of
the figures in
the problem?
2. Which
measures of a
figure are
involved -length,
surface are, or
volume?
3. What
measurement
strategies or
formulas
might help in
using given
information to
find unknown
measurement
s?
Students will
be able to
find area and
circumferenc
e of a circle.
Students will
be able to
find the
surface area
and volume
of right
prisms.
I am able to
determine
which two
dimensional
figure occurs
when I slice a
1, What are the possible outcomes for
the event(s) in this situation?
2. Are these outcomes equally likely?
3. Is this a fair or unfair situation?
4. Can I compute the theoretical
probabilities or do I conduct an
experiment?
5. How can I determine the probability
of one event followed by a second
event: two stage probabilities?
6. How can I use expected value to
help me make decisions?
Students will be able to find the
probability of compound events using
organized lists, tables, tree diagrams,
and simulations.
Students will be able to compare
theoretical and experimetal probablity
from an experiment.
Students will be able to develop a
probability model to find the probability
of events.
What is the
population?
2. What is the
sample?
3. Is the sample a
representative
sample?
4. How can I describe
the data I collected?
5. How can I use my
results to draw
conclusions about he
population?
6. How can I use
samples to compare
two or more
populations?1. How
can I use symmetry
to describe the shape
and properties of
figures in a design or
a problem?
2. What figures in a
pattern are
congruent?
3. What parts of
congruent figures will
be matched by a
congruence
transformation?
Students will be
able to use data
from a random
sample to draw
inferences about a
population.
Students will be
able to compare
two populations
using the same
measure of central
tendancies ( mean,
median, mode).
RCAS - SECONDARY PACING GUIDE 2014-15
Vocabulary
complimentary
concave
convex
exterior angles
interior angles
regular polygon
reflection/rotation
symmetry
supplementary
transversal
vertical angles
absolute value
additive identity
additive inverse
communtative
property
algorithm
distributive property
expanded form
factored form
integers
multiplicative
identity/inverse
order of operations
rational numbers
properties of
equality
equivalent
expressions
point of
intersection
solution of an
equation
linear
slope
rise
run
adjacent sides
corresponding angle/sides
equivalent ratios
image
midpoint
nested triangles
proportion
ratio
rep-tile
scale drawing
scale factor
similar
commission
constant of
proportionalit
y equation
markup
part-part
ration
part-whole
ratio
proportion
rate
rate table
ratio
unit rate
three
dimensional
prism.
circumferenc
e
cone
cylinder
diameter
pyramid
radius
rectangular
prism
regular prism
right prism
sphere
area model
binonial probability
compound event
equally likely
expected value
eperimental probability
fair game
favorable outcome
outcome
probability
relative frequency
sample space
simulation
theoretical probability
tree diagram
trial
box and whisker
plot
convenience
sampling
census
five number
summary
population
histogram
interquartile range
mean absolute
deviation
outlier
quartile
random sampling
relative frequency
representative
sample
sample
sampling
distribution
sampling plan
simulate
systematic sampling
voluntary response
sampling
RCAS - SECONDARY PACING GUIDE 2014-15
Links to
Common
Summative
Assessment