Fifth Grade Math GLCE
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Numbers and
Operations
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Tools |
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Interactives |
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NUMBER
AND OPERATIONS
Understand
division of whole numbers
N.MR.05.01 Understand the meaning of division of whole
numbers, with and without remainders; relate division to fractions and to
repeated subtraction.
N.MR.05.02 Relate division of whole numbers with remainders
to the form a = bq + r, e.g., 34 ÷ 5 = 6 r 4, so 5 • 6 + 4 = 34; note remainder
(4) is less than divisor (6).
N.MR.05.03 Write mathematical statements involving division
for given situations.
Division
and Multiplication Story Problems tutorial
Multiply
and divide whole numbers
N.FL.05.04 Multiply a multi-digit number by a two-digit
number; recognize and be able to explain common computational errors such as
not accounting for place value.
N.MR.05.05 Solve applied problems involving multiplication
and division of whole numbers.
Division
and Multiplication Story Problem tutorial
N.FL.05.06 Divide fluently up to a four-digit number by a
two-digit number.
Find
prime factorizations of whole numbers
N.MR.05.07 Find the prime factorization of numbers between 1
and 50, express in exponential notation, e.g., 24 = 23 x 31, and understand that every
whole number can be expressed as a product of primes.
Understand
meaning of decimal fractions and percentages
N.ME.05.08 Understand the relative magnitude of ones, tenths,
and hundredths and the relationship of each place value to the place to its
right, e.g., 1 is 10 tenths, one tenth is 10 hundredths.
N.ME.05.09 Understand percentages as parts out of 100, use %
notation, and express a part of a whole as a percentage.
Understand
fractions as division statements; find equivalent fractions
N.ME.05.10 Understand a fraction as a statement of division,
e.g., 2 ÷ 3 = __ using simple fractions and
pictures to represent.
N.ME.05.11 Given two fractions, express them as equivalent
fractions with a common denominator, but not necessarily a least common
denominator, e.g., __ = __ and __ = _ ; use denominators less than 12 or
factors of 100.
Equivalent
Fractions 4 activities
Multiply
and divide fractions
N.FL.05.12 Find the product of two unit fractions with small
denominators using area model.
N.FL.05.13 Divide a fraction by a whole number and a whole
number by a fraction using simple unit fractions.
Add
and subtract fractions using common denominators
N.FL.05.14 Add and subtract fractions with unlike
denominators of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, and 100, using the
common denominator that is the product of the denominators of the 2 fractions,
e.g., __ + _ _ = (3 x 10) + (7 x 8) = 30 + 56 = _ _ _ 80 80
Multiply
and divide by powers of ten
N.MR.05.15 Multiply a whole number by powers of 10: 0.01,
0.1, 1, 10, 100, 1,000; and identify patterns.
N.FL.05.16 Divide numbers by 10’s, 100’s, 1,000’s, using
mental strategies.
N.MR.05.17 Multiply one-digit whole numbers by decimals up to
two decimal places.
Solve
applied problems with fractions
N.FL.05.18 Given an applied situation involving addition and
subtraction of fractions, write mathematical statements describing the
situation.
N.MR.05.19 Solve word problems that involve finding sums and differences
of fractions with unlike denominators using knowledge of equivalent fractions.
N.FL.05.20 Solve applied problems involving fractions and
decimals; include rounding of answers and checking reasonableness; use examples
involving money.
N.MR.05.21 Solve for the unknown in such equations as: __ + x
= __ .
Express,
interpret, and use ratios; find equivalences
N.MR.05.22 Express fractions and decimals as percentages and
vice versa.
Fractions,
Decimals and Percents
N.ME.05.23 Express ratios in several ways given applied
situations, e.g., 3 cups to 5 people, 3 : 5, 3/5; recognize and find equivalent
ratios.
MEASUREMENT
Know,
and convert among, measurement units within a given system
M.UN.05.01 Recognize the equivalence of 1 liter, 1.000 ml and
1000 cm3 and include conversions among
liters, milliliters, and cubic centimeters.
M.UN.05.02 Know the units of measure of volume: cubic centimeter,
cubic meter, cubic inches, cubic feet, cubic yards, and use their abbreviations
(cm3, m3, in3, ft3, yd3).
M.UN.05.03 Compare the relative sizes of one cubic inch to
one cubic foot, and one cubic centimeter to one cubic meter.
M.UN.05.04 Convert measurements of length, weight, area,
volume, and time within a given system using easily manipulated numbers.
Find
areas of geometric shapes using formulas
M.PS.05.05 Represent relationships between areas of
rectangles, triangles, and parallelograms using models.
M.TE.05.06 Understand and know how to use the area formula of
a triangle:
A = __ bh (where b is length
of the base and h is the height), and represent using models and manipulatives.
M.TE.05.07 Understand and know how to use the area formula
for a parallelogram: A = bh, and represent using models and manipulatives.
Understand
the concept of volume
M.TE.05.08 Build solids with unit cubes and state their
volumes.
M.TE.05.09 Use filling (unit cubes or liquid), and counting
or measuring to find the volume of a cube and rectangular prism.
M.PS.05.10 Solve applied problems about the volumes of
rectangular prisms using multiplication and division and using the appropriate
units.
GEOMETRY
Know
the meaning of angles, and solve problems
G.TR.05.01 Associate an angle with a certain amount of turning;
know that angles are measured in degrees; understand that 90°, 180°, 270°, and
360° are associated, respectively, with 1/4, 1/2, and 3/4 and full turns.
G.GS.05.02 Measure angles with a protractor, and classify
them as acute, right, obtuse, or straight.
G.GS.05.03 Identify and name angles on a straight line and
vertical angles.
G.GS.05.04 Find unknown angles in problems involving angles on
a straight line, angles surrounding a point and vertical angles.
G.GS.05.05 Know that angles on a straight line add up to 180°
and angles surrounding a point add up to 360°; justify informally by
“surrounding” a point with angles.
G.GS.05.06 Understand why the sum of the interior angles of a
triangle is 180° and the sum of the interior angles of a quadrilateral is 360°,
and use these properties to solve problems.
Solve
problems about geometric shapes
G.GS.05.07 Find unknown angles using the properties of:
triangles, including right, isosceles, and equilateral triangles;
parallelograms, including rectangles and rhombuses; and trapezoids.
DATA AND PROBABILITY
Construct
and interpret line graphs
D.RE.05.01 Read and interpret line graphs, and solve problems
based on line graphs, e.g., distance-time graphs, and problems with two or
three line graphs on same axes, comparing different data.
D.RE.05.02 Construct line graphs from tables of data; include
axis labels and scale.
Find
and interpret mean and mode for a given set of data
D.AN.05.03 Given a set of data, find and interpret the mean
(using the concept of fair share) and mode.
D.AN.05.04 Solve multi-step problems involving means.