Grade 5 Math Pacing Guide

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Grade/Course Fifth Grade
Month
#
Days
3
August
4
September
September
9
5
SOL
Strand
5.1
Place
Value
Number
and Number
Sense
5.1
Rounding
5.4
(+/-/x/÷)
with/withou
t
remainders
5.4 con’t…
5.5
Decimals
Number
and Number
Sense
Computation
and
Estimation
Computation
and
Estimation
Subject Math
Essential
Knowledge
(incl. vocabulary)
Semester 2014-2015
Essential Skills
Learning
Activities
Assessment
Vocabulary
decimal and whole
number, tenths,
hundredths,
thousandths,
ten thousandths,
nearest whole
number, place
value, expanded
form, standard
form, and written
form
Bloom’s Level:
Applying
-Round decimals
numbers to the nearest
whole number, tenth, or
hundredth.
SOL 5.1 Place
Value/
Rounding
Interactive
Achievement
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assessments
Vocabulary
Addition, sum,
multiplication,
product, factor,
division, quotient,
divisor, dividend,
estimate,
remainder
Bloom’s Level:
Applying
Analyzing
Evaluating
Creating
Select appropriate
methods and tools to
compute with whole
numbers.
Create single step and
multistep problems.
Estimate the sum
difference, product and
quotient of whole
numbers.
SOL 5.4
Interactive
Achievement
Vocabulary
Addition, sum,
multiplication,
product, factor,
division, quotient,
divisor, dividend,
estimate,
remainder
Bloom’s Level:
Applying
Analyzing
Evaluating
Creating
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SOL 5.5
Decimals
-Determine an
appropriate method of
calculation to find the
sum, difference,
product and quotient of
decimals.
-Use estimation, mental
computation, and
calculators.
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Grade/Course Fifth Grade
Month
#
Days
September
4
September
/
October
3/2
October
4
SOL
Strand
5.5
(con’t)
Computation
and
Estimation
5.19
Distribut
ive
Property
5.7
Order of
Operatio
ns
Patterns,
Functions
and Algebra
Computation
s and
Estimation
Subject Math
Essential
Knowledge
(incl. vocabulary)
3
Adjustm
ent to
Pacing/
Remedi
ation
Essential Skills
Vocabulary
Addition, sum,
multiplication, product,
factor, division,
quotient, divisor,
dividend, estimate,
remainder
Bloom’s Level:
Applying
Analyzing
Evaluating
Creating
-Determine an
appropriate method of
calculation to find the
sum, difference, product
and quotient of decimals.
Use estimation, mental
computation, and
calculators
Vocabulary
Mathematical sentence,
sum, product,
parenthesis, operation,
expressions, equation,
distributive property
Bloom’s Level
Understanding
Evaluating
-Investigate and
recognize the distributive
property of whole
numbers, using diagrams
and manipulatives.
Vocabulary
Simplify the expression,
Order of Operations,
Evaluate the
expression
-Simplify expressions by
using the order of
operations given an
expression with more
than one operation.
Bloom’s Level
Analyzing
Understanding
October
Semester 2014-2015
-Recognize it as an
equation as well.
Learning
Activities
SOL 5.5
Decimals
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5.19
Distributive
Property
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5.7 Order of
Operations
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Achievement
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as
Assessment
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Youtube
Video Mr.Tomai’s
Class –
PEMDAS
Shuffle
Grade/Course Fifth Grade
Month
#
Days
SOL
Strand
October
8
5.15
Stem and
Leaf Plots
Probability
and Statistics
Line Graphs
October
6
5.16
Mean
Median
Mode
Range
Probability
and Statistics
Subject Math
Essential
Knowledge
(incl. vocabulary)
Semester 2014-2015
Essential Skills
Vocabulary
Probability, outcomes,
tree diagram, favorable
outcomes, possible
outcomes, sample
space, prediction,
ascending order,
descending order, axis
and scale, increase,
decrease, data,
frequency
Bloom’s Level:
Applying
Analyzing
Evaluating
-Collect data and
organize into a chart,
table, stem and leaf
plot and line graph.
Vocabulary
Measures of center,
variation, range, fair
share, average, mean,
median, mode
Bloom’s Level:
Understanding
Applying Analyzing
-Find the mean,
median, mode and
range of a group of
numbers,
representing data
from a given context.
-Construct line
graphs, labeling the
vertical axis and
horizontal axis.
Learning
Activities
SOL 5.15
Stem and Leaf
Plots/ Line
Graphs
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SOL 5.16
Mean, Median,
Mode and
Range
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Hey Diddle
Diddle Mean
Meadian Mode
Range Riddle
November
4
5.9
Circles
Measurement
Vocabulary
Diameter, radius, radii,
chord, circumference,
line segment, equal
distance, center
Bloom’s Level:
Remembering
Understanding
-Identify and
describe the
relationship between
diameter, radius,
chord and
circumference.
SOL 5.9 Circles
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Literature:
Sir Cumference
And the Knights
of the Round
Tables
Interactive
Achievement
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assessment
Grade/Course Fifth Grade
Month
#
Days
November
4
SOL
5.12
Classifying
Angles and
Triangles
Strand
Geometry
Subject Math
Essential
Knowledge
(incl. vocabulary)
Vocabulary
angles; complete;
rotation; protractor;
angle ruler; right angle;
acute angle; square
corner; classify;
polygon; triangle;
scalene; isosceles;
equilateral;
quadrilateral;
parallelogram
Semester 2014-2015
Essential Skills
-Classify angles as
right, acute, or obtuse.
-Classify triangles as
right, acute, or obtuse.
-Classify triangles as
equilateral, scalene or
isosceles.
Bloom’s Level:
Analyzing
November
5
5.11
Measuring
Angles
Measurement
Vocabulary
Protractor, right, acute,
obtuse, straight angles,
point, line, ray, plane,
line segment, parallel
lines, intersecting lines,
perpendicular lines,
degree, square corner,
classify, polygon,
scalene, isosceles,
equilateral
Bloom’s Level:
Applying
Analyzing
November
3
Adjustment
to Pacing/
Remediation
Learning
Activities
SOL 5.12
Classifyin
g Angles
and
Triangles
Assessment
Interactive
Achievement
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assessment
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-Identify the
appropriate tools used
to measure and draw
angles and triangles.
-Measure right, acute,
obtuse and straight
angles and recognize
the angle measure as
additive.
-Solve addition and
subtraction problems
to find unknown angles
on a diagram.
SOL 5.11
Measuring
Angles
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Grade/Course Fifth Grade
Month
#
Days
December
4
SOL
5.13
Plane
Figures
Strand
.
Geometry
Subject Math
Essential
Knowledge
(incl. vocabulary)
Vocabulary
parallel; diagonal;
vertices; congruent;
plane figures; kites;
rhombi; trapezoids;
noncongruent; similar;
line of symmetry;
geometric
transformations:
translations, reflection,
rotation, base leg,
isosceles trapezoid,
adjacent, reflected
image, line of
reflection, point, size,
shape, cylinder, cone,
cube, square
Semester 2014-2015
Essential Skills
-Develop definitions for
squares, rectangles,
triangles, parallelograms,
rhombi, and trapezoids.
-Investigate and describe
the results of combining
and subdividing plane
figures.
Learning
Activities
SOL 5.13
Plane
Figures
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Bloom’s Level:
Evaluating
Creating
December
10
5.6
Add and
Subtract
Fractions
and Mixed
Numbers
Computation
and
Estimation
Vocabulary
numerator,
denominator, mixed
number, equivalent
fractions, simplest
form, multiples, least
common multiples,
factors, greatest
common factors, least
common denominator
-Solve single-step
problem and multistep
practical problems
involving addition and
subtraction with fractions
having like and unlike
denominators.
Denominators in the
problems should be
limited to 12 or less (e.g.,
1/5 +1/4) and answers
should be expressed in
simplest form.
-Solve single step and
multistep practical
problems involving
addition and subtraction
with mixed numbers
having like and unlike
denominators, with and
without regrouping.
Denominators in the
problems should be
limited to 12 or less,
answers should be
expressed in simplest
form.
SOL 5.6
Add and
Subtract
Fractions
and
Mixed
Numbers
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Grade/Course Fifth Grade
Month
#
Days
SOL
January
5
Adjustment to
Pacing
January
3
5.8
.
Measurement
Perimeter
.
.
January
January
5
3
Measurement
Area and Area
Square Units
Measurement
Volume
Strand
Measurement
Subject Math
Essential
Knowledge
(incl. vocabulary)
Vocabulary
volume, perimeter,
area, measure of
capacity; length:
inch, feet, yard,
mile, millimeter,
centimeter, meter,
kilometer;
measurement of
weight/mass:
ounce, pound, ton,
gram, kilogram;
liquid volume: cup,
pint, quart, gallon,
milliliter, liter,
measure of area
square unit;
temperature:
Celsius,
Fahrenheit,
freezes, boils,
body temperature,
U.S. customary
unit, balance
(balances), metric
unit, degrees,
metric, prediction,
estimation,
temperature,
length, mass,
volume, millimeter,
centimeter, meter,
kilometer, gram,
kilogram, milliliter,
liter, degree
Celcius
Bloom’s Level
Evaluating
Creating
Applying
Analyzing
Semester 2014-2015
Essential Skills
Learning
Activities
-Determine the perimeter of a
polygon, with or without
diagrams, when
- the lengths of all
sides of a polygon that is not
a rectangle or a square are
given;
- the length and width of
a rectangle are given; or
- the length of a side of a
square is given
-Estimate and determine the
perimeter of a polygon, and
area of a square, rectangle,
and right triangle following
the parameters listed above,
using only whole number
measurements given in
metric or U.S. Customary
units, and record the solution
with the appropriate unit of
measure (e.g., 24 square
inches).
-Estimate and determine the
area of a square, with or
without diagrams, when the
length of a side is given.
-Estimate and determine the
area of a rectangle, with or
without diagrams, when the
length and width are given.
-Estimate and determine the
area of a right triangle, with or
without diagrams, when the
base and the height are
given.
-Difference among the
concepts of area, perimeter,
and volume.
-Develop a procedure for
finding volume using
manipulatives (e.g., cubes).
-Determine volume in
standard units.
-Describe practical situations
where area, perimeter, and
volume are appropriate
measures to use, and justify
their choices orally or in
writing.
SOL 5.8
Measurem
ent
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5.8
January/
4
February
6
Metric
Measurement
s and
Equivalent
Length,
Mass, Liquid
Volume
Metric
Measurement
s Using
Customary
Units Length,
Weight,
Mass,
Capacity
Metric
Measurement
s Problem
Solving Use
Metric and/or
US
Customary
Units Length,
Mass,
Weight,
Liquid
Volume,
Temperature
Measurement
-Identify equivalent
measurements within the
metric system for the
following:
- length: millimeters,
centimeters, meters, and
kilometers;
-mass: grams and
kilograms;
liquid volume: milliliters
and liters.
-Solve problems involving
measurement by selecting an
appropriate measuring device
and a U.S. Customary or
metric unit of measure for the
following:
- length: part of an inch
(1/2, 1/4, 1/8), inches, feet,
yards, millimeters,
centimeters, meters, and
kilometers;
-weight: ounces, pounds,
and tons;
-mass: grams and
kilograms;
-liquid volume: cups, pints,
quarts, gallsons, milliliters,
and liters;
-area: square units and
-temperature: Celsius and
Fahrenheit units.
-Water freezes at
0° C and 32°F
-Water boils at 100°C and
212°F.
- Normal body
temperature is about 37°C
and 98.6°F.
Grade/Course Fifth Grade
Month
February
#
Days
3
SOL
Strand
5.10
Elapsed
Time
Measurement
Subject Math
Essential
Knowledge
(incl. vocabulary)
Vocabulary
elapsed time,
hours, minutes,
24-hour period
Semester 2014-2015
Essential Skills
-Determine elapsed
time in hours and
minutes within a 24hour period.
Learning
Activities
SOL 5.10
Elapsed
Time
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Bloom’s Level
Analyzing
Assessment
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assessment
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February
4
5.3
Prime,
Composite,
Even, and
Odd
Number and
Number Sense
Vocabulary
prime number,
composite
number,
factorization,
factor tree, factors,
even, odd
-Identify prime numbers
less than or equal to
100.
Bloom’s Level
Understanding
Creating
Remembering
-Explain orally and in
writing why a number is
prime or composite.
-Identify composite
numbers less than or
equal to 100.
-Identify which numbers
are even or odd.
-Explain and
demonstrate with
manipulatives, pictorial
representations, oral
language, or written
language why a
number is even or odd.
February
1
Adjustment
to Pacing
SOL 5.3
Prime,
Composite,
Odd and
Even
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Grade/Course Fifth Grade
Month
February
#
Days
6
SOL
Strand
5.2
Fractions
and
Decimals
Number and
Number Sense
Subject Math
Essential
Knowledge
(incl. vocabulary)
Vocabulary
fraction,
numerator,
denominator,
greatest common
factor, least
common factor,
simplest form,
mixed number,
greater than, less
than, equal to, half
(halves), fourth
(fourths), eighth
(eighths), tenth
(tenths), decimal
number (decimal
numbers)
Bloom’s Level
Analyzing
Understanding
February
1
March
5
Adjustment
to Pacing
5.18
Variables
Patterns,
Functions, and
Algebra
Vocabulary
infinite number,
repeating pattern,
growing pattern,
function
(functions),
variable, variable
expression, equal
sign, verbal
quantitative
expression, open
sentence, linear
equation
Bloom’s Level
Evaluating
Creating
Understanding
Semester 2014-2015
Essential Skills
-Represent fractions
(halves, fourths, fifths,
eighths, tenths,
twelfths) in their
equivalent decimal form
and vice versa.
-Recognize and name
equivalent relationships
between decimals and
fractions with
denominators up to 12.
-Compare and order
from least to greatest
and greatest to least a
given set of no more
than five numbers
written as decimals,
fractions, and mixed
numbers with
denominators of 12 or
less.
-Describe the concept of a
variable (presented as
boxes, letters, or other
symbols) as a
representation of an
unknown quantity.
-Write an open sentence
with addition, subtraction,
multiplication, or division,
using a variable to
represent a missing
number.
-Model one-step linear
equations using a variety
of concrete materials such
as colored chips on an
equation mat or weights
on a balance scale.
-Create and write a word
problem to match a given
open sentence with a
variable and one
operation
Learning
Activities
SOL 5.2
Fractions
and
Decimals
Assessment
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assessment
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SOL 5.18
Variables
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Month
#
Days
March
SOL
Strand
5.17
Number
Patterns
Patters,
Functions, and
Algebra
Essential
Knowledge
(incl. vocabulary)
Vocabulary
infinite number,
repeating pattern,
growing pattern,
function
(functions),
variable, variable
expression, equal
sign, verbal
quantitative
expression, open
sentence,
mathematical
sentence
Essential Skills
-Describe numerical
and geometric patterns
formed by using
concrete materials and
calculators.
-Describe the
relationship found in
patterns, using words,
tables, and symbols to
express the
relationship.
Learning
Activities
SOL 5.17
Number
Patterns
Assessment
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assessment
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Bloom’ Level
Understanding
Analyzing
March
5
March
6
Adjustment
to Pacing
5.14
Probability
Probability and
Statistics
Vocabulary
probability, outcomes,
event, favorable,
outcomes, possible
outcomes, ratio,
impossible, unlikely, as
likely, as unlikely,
equally, likely, certain,
sample space, list,
chart, tree diagram,
counting principle
conclusion, prediction
(predictions),
ascending order, axis,
scale, category
(categories),
increment, variable,
continuous data, title,
vertical axis, frequency,
same, increase
(increased), decrease
(decreased), key,
mean, median, mode,
range
Bloom’s Level
Analyzing
Evaluating
Applying
April
3
April
10
Adjustment
to Pacing
SOL
Review
-Construct a sample
space, using a tree
diagram to identify all
possible outcomes of a
single event.
-Construct a sample
space, using a list or
chart to represent all
possible outcomes of a
single event.
-Predict and determine
the probability of an
outcome by
constructing a sample
space. The sample
space will have a total
of 24 or less possible
outcomes.
SOL 5.14
Probability
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