Download Math Units mapping GRADE 5

5 th Grade Math Units, Everyday Mathematics
5-31-2015, NES
December
January
February
14
18
18
Shape, Dimension, and Geometric
Relationships
Data and Chance, CC
5.MD.B
5.G.A
5.
5.
Testing and
Review
PARCC2
i-Ready
EOY Assessment
Unit 3 Progress
Check
i-Ready
Benchmark
Unit 3
Unit 6.16.7
Geometry,
CCSS
5.MD.C
5.G.B
MOY
Assessment
Unit 11
Unit 11
Assessment
Unit 9
Assessment
Unit 10
Assessment
Unit 2
Assessment
Unit 7
Assessment
Unit 9
Unit 10
Unit 2
Measurement
and Reference
Frames, CCSS
5.MD.A
May
14
Testing and
Review
Testing and
Review
D
Patterns, Functions,
and Algebra, CCSS
5.OA.A
5.OA.B
Unit 8
Assessment
Unit 7
Unit 6
Assessment
Unit 8
Unit 5
Assessment
Unit 6.86.10
Operations
and
Computations,
CCSS
5.NF.B
5.NBT.B.5
Unit 4
Assessment
Unit 5
Unit 4
Unit 1
Assessment
Unit 1
i-Ready
BOY Assessment
Assessments
Units
Number and
Numeration, CCSS
5.NBT.A
5.NBT. B
5.NF.A
April
14
PARCC
D
March
21
Data Analysis,
Statistics,
and Probability
Unit 12 Progress
Check
November
16
Patterns, Functions,
and Algebraic
Structures
Unit 12
August
September
October
6
20
19
Number Sense, Properties, and
Operations
2
5 th Grade Math Units, Everyday Mathematics
5-31-2015, NES
Resource Website List:
1. http://everydaymath.uchicago.edu/parents/5th-grade/em-at-home/
(Unit info on EVDM site)
2. https://www.everydaymathonline.com/free_resources_main.html?frnologin=1&PHPSESSID=3a078d44475e40a481899904597a675e
(Free family resources)
3. https://www.everydaymathonline.com/free_resources_main.html?frnologin=1&PHPSESSID=3a078d44475e40a481899904597a675e#
(Lesson to standards correlation for EVDM)
4. https://sites.google.com/site/elmwoodmrshaw/home/home-links/everyday-math-review-tests
(Unit Assessments)
5. https://www.mheonline.com/eminstructionalbridge/details.php?grade_id=6&unit_id=107
(BOY, MOY, EOY Assessments)
6. http://everydaymath.uchicago.edu/parents/5th-grade/goals/
(Grade level goals)
7. http://www.mathlearningcenter.org/bridges/grade
8. http://www.mathlearningcenter.org/nc/grade
9. www.discoveryed.com/trials
10. http://eastlycoming.net/Page/563
4
Units of Study
Main Resource
Number Theory
Unit 1
https://www.mheonline.com/eminstructi
onalbridge/pdf/5_BOY_assessment.pdf
Unit Assessments and Essential
Questions
https://www.mheonline.com/eminstructi
onalbridge/pdf/5/Unit_1_CCSS_Revie
w.pdf
(BOY Assessment)
http://everydaymath.uchicago.edu/p
arents/5th-grade/em-at-home/
Estimation and
Computation
Unit 2
http://everydaymath.uchicago.edu/p
Geometry
Explorations
Unit 3
http://everydaymath.uchicago.edu/p
Division
Unit 4
http://everydaymath.uchicago.edu/p
arents/5th-grade/em-at-home/
arents/5th-grade/em-at-home/
arents/5th-grade/em-at-home/
How can a visual model be used to
represent an array, factors, and the
product? i.e. factor tree, array, number
model sentence. What represents your
answer in an addition and multiplication
form to go with your example?
https://www.mheonline.com/eminstructi
onalbridge/pdf/5/Unit_2_CCSS_Revie
w.pdf
https://www.mheonline.com/eminstructi
onalbridge/pdf/5/Unit_3_CCSS_Revie
w.pdf
https://www.mheonline.com/eminstructi
onalbridge/pdf/5/Unit_4_CCSS_Revie
w.pdf
Fractions,
Decimals, and
Percents
Unit 5
http://everydaymath.uchicago.edu/p
arents/5th-grade/em-at-home/
How can you determine the quotient
using a dividend and divisor? What will
you do with the remainder?
https://www.mheonline.com/eminstructi
onalbridge/pdf/5/Unit_5_CCSS_Revie
w.pdf
Data, Addition and
http://everydaymath.uchicago.edu/p
https://www.mheonline.com/eminstructi
Vocabulary/Vocabulary Links
Composite number, divisible by, exponent factor, factor
rainbow, number model, prime number, product, rectangular
array, square number
http://everydaymath.uchicago.edu/parents/5th-grade/em-athome/family-letters/5-1-vocab.html
Estimation challenge, magnitude estimate, maximum, mean,
median, mode, minimum, partial-sums addition, place value,
range, reaction time, trade-first subtraction
http://everydaymath.uchicago.edu/parents/5th-grade/em-athome/family-letters/5-2-vocab.html
Acute angle, obtuse angle, right angle, radius, diameter,
adjacent angles, vertical angles, reflex angle, congruent,
tessellation, equilateral triangles, isosceles triangle, scalene
triangle
http://everydaymath.uchicago.edu/parents/5th-grade/em-athome/family-letters/5-3-vocab.html
Dividend, divisor, quotient, remainder, variable, number
sentence, open sentence, map legend (map key), map scale
http://everydaymath.uchicago.edu/parents/5th-grade/em-athome/family-letters/5-4-vocab.html
Bar graph, circle graph, percent circle, percent (%), numerator,
denominator, mixed number, equivalent fractions, improper
fractions, repeating decimal
http://everydaymath.uchicago.edu/parents/5th-grade/em-athome/family-letters/5-5-vocab.html
Common denominator, simplest form, survey, population,
5 th Grade Math Units, Everyday Mathematics
5-31-2015, NES
Subtraction of
Fractions
Unit 6
arents/5th-grade/em-at-home/
onalbridge/pdf/5/Unit_6_CCSS_Revie
w.pdf
Exponents and
Negative Numbers
Unit 7
http://everydaymath.uchicago.edu/p
https://www.mheonline.com/eminstructi
onalbridge/pdf/5/Unit_7_CCSS_Revie
w.pdf
Fractions and
Ratios
Unit 8
http://everydaymath.uchicago.edu/p
Coordinates, Area,
Volume, and
Capacity
Unit 9
http://everydaymath.uchicago.edu/p
Using Data;
Algebra Concepts
and Skills
Unit 10
Volume
Unit 11
http://everydaymath.uchicago.edu/p
arents/5th-grade/em-at-home/
arents/5th-grade/em-at-home/
arents/5th-grade/em-at-home/
arents/5th-grade/em-at-home/
http://everydaymath.uchicago.edu/p
arents/5th-grade/em-at-home/
Probability, Ratios,
and Rates
Unit 12
http://everydaymath.uchicago.edu/p
arents/5th-grade/em-at-home/
https://www.mheonline.com/eminstructi
onalbridge/pdf/5/Unit_8_CCSS_Revie
w.pdf
https://www.mheonline.com/eminstructi
onalbridge/pdf/5/Unit_9_CCSS_Revie
w.pdf
https://www.mheonline.com/eminstructi
onalbridge/pdf/5/Unit_10_CCSS_Revie
w.pdf
https://www.mheonline.com/eminstructi
onalbridge/pdf/5/Unit_11_CCSS_Revie
w.pdf
https://www.mheonline.com/eminstructi
onalbridge/pdf/5/Unit_12_CCSS_Revie
w.pdf
landmark, line plot, map legend (map key), range, mode, stemand-leaf plot
http://everydaymath.uchicago.edu/parents/5th-grade/em-athome/family-letters/5-6-vocab.html
Exponential notation, Scientific notation, positive number,
negative number, in the red, in the black, nested parentheses,
order of operations, parentheses ( ), opposite of a number,
number-and-word notation
http://everydaymath.uchicago.edu/parents/5th-grade/em-athome/family-letters/5-7-vocab.html
Area model, unit fraction, unit percent, quick common
denominator
http://everydaymath.uchicago.edu/parents/5th-grade/em-athome/family-letters/5-8-vocab.html
Area, axis grid, coordinate, coordinate grid, ordered number
pair, longitude, latitude, perpendicular, rectangle method,
formula, capacity, volume, transformation
http://everydaymath.uchicago.edu/parents/5th-grade/em-athome/family-letters/5-9-vocab.html
Algebraic expression, pan balance, predict, rate, line graph
http://everydaymath.uchicago.edu/parents/5th-grade/em-athome/family-letters/5-10-vocab.html
Apex, polyhedron, prism, pyramid, cylinder, base of a
parallelogram, base of a pyramid or cone, cone, cube, sphere,
surface area, vertex (vertices), regular polyhedron, edge, face,
geometric solid, calibrate
http://everydaymath.uchicago.edu/parents/5th-grade/em-athome/family-letters/5-11-vocab.html
Common factor, prime factorization, probability, rate, equally
like outcomes, factor tree, ratio, tree diagram, greatest common
factor, least common multiple, multiplication counting principle
http://everydaymath.uchicago.edu/parents/5th-grade/em-athome/family-letters/5-12-vocab.html
6
Unit of Study: 1, 4, 5, 6.8-6.10, 8, 7,
2
5th Grade
Quarter 1
Aug. 20 - Oct.15
Number Sense, Properties, and Operations
Standard 1: students develop number sense and use numbers and number relationships in problem solving situations and
communicate the reasoning used in solving these problems.
Standard 6: Students link concepts and procedures as they develop and use computational techniques, including estimation, mental
arithmetic, paper and pencil, calculators, and computers in problem-solving situations and communicate the reasoning used in solving
these problems.
Domain: Number and Numeration, CCSS
Cluster: 5.NBT.A Understand the place value system.
Standard(s):
1.a. Explain that in a multi-digit number, a digit in one place
represents 10 times as much as it represents in the place to its
right and 1/10 of what it represents in the place to its left. (CCSS: 5.NBT.1)
i. Explain patterns in the number of zeros of the product when
multiplying a number by powers of 10. (CCSS: 5.NBT.2)
ii. Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. (CCSS:
5.NBT.2)
iii. Use whole-number exponents to denote powers of 10.
(CCSS: 5.NBT.2)
Cluster: 5.NBT.B Perform operations with multi-digit whole numbers and with decimals to hundredths.
Standard(s):
1.b. Read, write, and compare decimals to thousandths. (CCSS:
5.NBT.3)
i. Read and write decimals to thousandths using base-ten
numerals, number names, and expanded form.1 (CCSS:
5.NBT.3a)
ii. Compare two decimals to thousandths based on meanings of
5 th Grade Math Units, Everyday Mathematics
5-31-2015, NES
the digits in each place, using >, =, and < symbols to record
the results of comparisons. (CCSS: 5.NBT.3b)
Cluster: 5.NF.A Use equivalent fractions as a strategy to add and subtract fractions.
Standard(s):
Interpret a fraction as division of the numerator by the denominator
(a /b = a ÷ b ). (CCSS: 5.NF.3)
I can…understand the place value system.
Essential Questions:
5.NBT.A.1 I can understand and explain the value of
How can you determine the place value
digits in a larger number.
of a number and its value within a whole
5.NBT.A.2 I can explain patterns of zeroes in an answer number or decimal?
when multiplying a number by powers of 10.
5.NBT.A.2 I can explain patterns decimal placement
What is the relationship of a whole
when a decimal is multiplied or divided by a power of 10. number multiplied by the powers of 10?
5.NBT.A.2 I can use whole-number exponents to show
powers of 10.
What is the relationship of two decimals
using the correct symbol? (<, >, =)
5.NBT.A.3 I can read, write, and compare decimals to
What is its value of the number based
thousandths.
on place within a whole number?
5.NBT.A.3.A I can read and write decimals to
thousandths using base-ten numbers, number names
and expanded form.
5.NBT.A.3.B I can compare two decimals to thousandths
using the >, =, and < symbols correctly.
I can use equivalent (equal) fractions as a strategy to
add and subtract fractions.
5.NF.A.1 I can add and subtract fractions with unlike
denominators.
5.NF.A.2 I can solve word problems that involve addition
and subtraction of fractions.
5.NF.A.2 I can use number sense and fractions that I
know to estimate the reasonableness of answers to
fraction problems.
Vocabulary:
Composite number, divisible by, exponent
factor, factor rainbow, number model,
prime number, product, rectangular array,
square number
Dividend, divisor, quotient, remainder,
variable, number sentence, open
sentence, map legend (map key), map
scale
Bar graph, circle graph, percent circle,
percent (%), numerator, denominator,
mixed number, equivalent fractions,
improper fractions, repeating decimal
Common denominator, simplest form,
survey, population, landmark, line plot,
map legend (map key), range, mode,
stem-and-leaf plot
Area model, unit fraction, unit percent,
quick common denominator
Exponential notation, Scientific notation,
positive number, negative number, in the
red, in the black, nested parentheses,
order of operations, parentheses ( ),
opposite of a number, number-and-word
notation
8
Estimation challenge, magnitude estimate,
maximum, mean, median, mode,
minimum, partial-sums addition, place
value, range, reaction time, trade-first
subtraction
Domain: Operations and Computations, CCSS
Cluster: 5.NF.B Apply and extend previous understandings of multiplication and division to divide and multiply fractions.
Standard(s): Solve word problems involving division of whole numbers leading to
answers in the form of fractions or mixed numbers.8 (CCSS: 5.NF.3)
Cluster: 5.NBT.B.5 Multi-digit multiplication.
Standard(s): Fluently multiply multi-digit whole numbers using
standard algorithms. (CCSS: 5.NBT.5)
I can…
5.NF.3.A I can interpret a fraction as division of the numerator by the denominator
5.NF.3.B I can solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers
5.NBT.B.5 I can easily multiply larger whole numbers.
Unit of Study: 10, 9, 11
5th Grade
Quarter 2
Oct. 21- Dec. 18
5 th Grade Math Units, Everyday Mathematics
5-31-2015, NES
Patterns, Functions, and Algebraic Structures
Standard 2: Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data,
and graphs in problem solving situations and communicate the reasoning used in solving these problems.
Domain: Patterns, Functions, and Algebra, CCSS
Cluster: 5.OA.A Write and interpret numerical expressions.
Standard(s):
2.d. Write and interpret numerical expressions. (CCSS: 5.OA)
i. Use parentheses, brackets, or braces in numerical
expressions, and evaluate expressions with these
symbols. (CCSS: 5.OA.1)
ii. Write simple expressions that record calculations with
numbers, and interpret numerical expressions without
evaluating them.4 (CCSS: 5.OA.2)
Cluster: 5.OA.B Analyze patterns and relationships.
Standard(s):
1.e. Use patterns to solve problems including those involving saving
and checking accounts2 (PFL)
1.f. Explain, extend, and use patterns and relationships in solving
problems, including those involving saving and checking accounts
such as understanding that spending more means saving less (PFL)
I can…
5.OA.3 I can generate two numerical patterns using
given rules.
I can identify apparent relationships between
corresponding terms.
I can study number patterns and figure out their
relationships.
5.OA.B.3 I can create two number patterns using two
given rules.
5.OA.B.3 I can identify relationships between two
number patterns.
5.OA.B.3 I can form ordered pairs using the relationship
Essential Questions:
Vocabulary:
Algebraic expression, pan balance, predict,
rate, line graph
Area, axis grid, coordinate, coordinate grid,
ordered number pair, longitude, latitude,
perpendicular, rectangle method, formula,
capacity, volume, transformation
Apex, polyhedron, prism, pyramid,
cylinder, base of a parallelogram, base of a
pyramid or cone, cone, cube, sphere,
surface area, vertex (vertices), regular
10
between two number patterns and graph them on a
coordinate plane.
polyhedron, edge, face, geometric solid,
calibrate
Domain: Measurement and Reference Frames, CCSS
Cluster: 5.MD.A Convert like measurement units within a given measurement system.
Standard(s):
1.d. Convert like measurement units within a given measurement
system. (CCSS: 5.MD)
i. Convert among different-sized standard measurement units
within a given measurement system.2 (CCSS: 5.MD.1)
ii. Use measurement conversions in solving multi-step, real world problems. (CCSS: 5.MD.1)
I can…convert like measurement units within a given measurement system.
5.MD.A.1 I can convert different-sized measurements within the same measurement system.
5.MD.A.1 I can use measurement conversions to solve real-world problems.
Unit of Study: 3, 6.1-6.3
5th Grade
Quarter 3
Jan. 5 – Mar. 4
5 th Grade Math Units, Everyday Mathematics
5-31-2015, NES
Shape, Dimension, and Geometric relationships
Standard 4: Students use geometric concepts, properties, and relationships in problem-solving situations and communicate the
reasoning used in solving these problems.
Standard 5: Students will use a variety of tools and techniques to measure, apply the results in problem solving situations, and
communicate the reasoning used in solving these problems.
Domain: Measurement and Reference Frames, CCSS
Cluster: 5.MD.A Convert like measurement units within a given measurement system.
Standard(s):
1.d. Convert like measurement units within a given measurement
system. (CCSS: 5.MD)
i. Convert among different-sized standard measurement units
within a given measurement system.2 (CCSS: 5.MD.1)
ii. Use measurement conversions in solving multi-step, real world problems. (CCSS: 5.MD.1)
I can…convert like measurement units within a given
measurement system.
5.MD.A.1 I can convert different-sized measurements
within the same measurement system.
5.MD.A.1 I can use measurement conversions to solve
real-world problems.
Essential Questions:
Vocabulary:
Acute angle, obtuse angle, right angle,
radius, diameter, adjacent angles, vertical
angles, reflex angle, congruent,
tessellation, equilateral triangles, isosceles
triangle, scalene triangle
Common denominator, simplest form,
survey, population, landmark, line plot,
map legend (map key), range, mode,
stem-and-leaf plot
Domain: Geometry, CCSS
Cluster: 5.MD.C Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
Standard(s):
1.a. Model and justify the formula for volume of rectangular prisms.
12
(CCSS: 5.MD.5b)
i. Model the volume of a right rectangular prism with whole number
side lengths by packing it with unit cubes.1 (CCSS:
5.MD.5b)
ii. Show that the volume is the same as would be found by
multiplying the edge lengths, equivalently by multiplying the
height by the area of the base. (CCSS: 5.MD.5a)
iii. Represent threefold whole-number products as volumes to
represent the associative property of multiplication. (CCSS:
5.MD.5a)
1.b. Find volume of rectangular prisms using a variety of methods and
use these techniques to solve real world and mathematical
problems. (CCSS: 5.MD.5a)
i. Measure volumes by counting unit cubes, using cubic cm,
cubic in, cubic ft, and improvised units. (CCSS: 5.MD.4)
ii. Apply the formulas V = l Å~ w Å~ h and V = b Å~ h for
rectangular prisms to find volumes of right rectangular
prisms with whole-number edge lengths. (CCSS: 5.MD.5b)
iii. Use the additive nature of volume to find volumes of solid
figures composed of two non-overlapping right rectangular
prisms by adding the volumes of the non-overlapping parts.
(CCSS: 5.MD.5c)
Cluster: 5.G.B Classify 2-dimensional figures into categories based on their properties.
Standard(s):
2.c. Classify two-dimensional figures into categories based
on their properties. (CCSS: 5.G)
i. Explain that attributes belonging to a category of
two-dimensional figures also belong to all
subcategories of that category.3 (CCSS: 5.G.3)
5 th Grade Math Units, Everyday Mathematics
5-31-2015, NES
ii. Classify two-dimensional figures in a hierarchy
based on properties. (CCSS: 5.G.4)
I can…
5.MD.C.5.A I can use unit cubes to find the volume of a right rectangular prism with whole number side lengths and prove that it is the same as
multiplying the edge lengths (V = l x w x h).
5.MD.C.5.B I can solve real-world and mathematical problems involving volume of an object using the formulas V = l x w x h and V = b x h.
5.MD.C.5.B I can find the volumes of solid figures made up of two right rectangular prisms by adding the volumes of both.
5.MD.C.5.C I can solve real-world problems using what I know about adding the volumes of two right rectangular prisms.
I can classify 2-dimensional shapes into categories based on their properties.
5.G.B.3 I can understand how attributes of 2-dimensional shapes in a category also belong to all subcategories of those shapes.
5.G.B.4 I can classify 2-dimensional shapes based on their properties.
Unit of Study: 6.4-6.7, 12
5th Grade
Quarter 4
Mar. 7 – May 25
Data analysis, statistics, and probability
Standard 3: students use data collection and analysis, statistics, and probability in problem solving situations and communicate the
reasoning used in solving these problems.
Domain: Data and Chance, CCSS
14
Cluster: 5.MD.B Represent and interpret data.
Standard(s):
1.a. Represent and interpret data. (CCSS: 5.MD)
i. Make a line plot to display a data set of
measurements in fractions of a unit (1/2,
1/4, 1/8). (CCSS: 5.MD.2)
ii. Use operations on fractions for this grade
to solve problems involving information
presented in line plots.1 (CCSS: 5.MD.2)
Cluster: 5.G.A Graph points on the coordinate plane to solve real world and mathematical problems.
Standard(s):
2.a. Graph points on the coordinate plane2 to solve realworld
and mathematical problems. (CCSS: 5.G)
2.b. Represent real world and mathematical problems by
graphing points in the first quadrant of the coordinate
plane, and interpret coordinate values of points in the
context of the situation. (CCSS: 5.G.2 )
I can…represent and interpret data.
5.MD.B.2 I can make a line plot to show a data set of
measurements involving fractions.
I can graph points on the coordinate plane to solve real
world and mathematical problems.
5.G.A.1 I can understand a coordinate plane and
ordered pairs of number coordinates on that plane.
5.G.A.1 I can graph ordered pairs of numbers on a
coordinate plane using what I have learned about the xaxis and coordinate and the y-axis and coordinate.
5.G.A.2 I can represent real-world and mathematical
problems by graphing points in the first quadrant of a
Essential Questions:
Vocabulary:
Common factor, prime factorization,
probability, rate, equally like outcomes,
factor tree, ratio, tree diagram, greatest
common factor, least common multiple,
multiplication counting principle
5 th Grade Math Units, Everyday Mathematics
5-31-2015, NES
coordinate plane.
5.G.A.2 I can understand coordinate values in the
context of a real-world or mathematical problem.
I can classify 2-dimensional shapes into categories
based on their properties.