M ATHEMATICS C URRICULUM M AP
Fourth Grade
2010
Table of Contents
Overview:
I.
II.
III.
IV.
V.
Best Practices
Assessment
Fourth Grade Vocabulary
Timeline
Online Resources for All Standards
Units by Standard:
Review Unit: Addition and Subtraction
Unit 1: Algebra – Addition and Subtraction
Unit 2: Understanding Place Value
Unit 3: Multiplication
Unit 4: Patterns in Multiplication
Unit 5: Measurement
Unit 6: Area, Perimeter, and Volume
Unit 7: Division
Unit 8: Geometry: Lines, Rays, and Figures
Unit 9: Geometry: Angles
Unit 10: Understanding Fractions and Mixed
Numbers
Unit 11: Adding and Subtracting Fractions
Unit 12: Understanding Decimals
Unit 13: Represent and Interpret Data and
Probability
Unit 14: Multiplying and Dividing Multi-Digit
Numbers
Unit 15: Multiplying Fractions
Best Practices
Small Group
Modeling
Guided Practice
Independent Practice
Plans and teaches lessons to support full implementation of
mathematics core standards.
Establishes physical classroom environment to support mathematics
learning
Establishes classroom climate or culture focused on student‐centered
learning
Supports mathematical communication (student’s ability to explain
mathematical process)
Common Math vocabulary
Uses assessment to support student learning and to guide planning.
Relating Concepts to real life situations
Incorporate word problems within units
Use concrete examples and have students draw representations of
concepts
Assessment
Core Practice- Independent Wkst.
Activities- Showing understanding
Quizzes
Pre- Post Test
Common Assessment
Observations
MAP Assessment
ISAT Assessment
Fourth Grade Vocabulary
Addition
Subtraction
Estimate
Regroup
Sum
Addend
Difference
Odd
Even
Commutative Property
Associative Property
Identity Property
Equation
Variable
Fact Family
Sequence
Pattern
Place Value
Standard Form
Expanded Form
Compare
Round
Ones
Tens
Hundreds
Thousands
Millions
Multiplication (x or •)
Product
Array
Square Root
Factor
Multiple
Prime
Composite
Kilometer
Meter
Centimeter
Kilogram
Gram
Pound
Ounce
Hour
Minute
Second
Length
Distance
Mass
Capacity
Elapsed Time
Perimeter
Area
Volume
Length
Width
Divisor
Dividend
Quotient
Point
Line
Line Segment
Ray
Parallel
Perpendicular
Two-Dimensional
Three-Dimensional
Polygon
Right Triangle
Face
Edge
Vertices
Angle
Obtuse
Right
Acute
Protractor
Degrees
Fraction
Mixed Number
Numerator
Denominator
Equivalent
Decompose
Compose
Decimal
Tenths
Hundreths
Line Plot
Mode
Range
Bar Graph
Pictograph
Venn diagram
Tally Chart
Line Graph
Circle Graph
Probability
Fourth Grade- Concepts
4.NBT.4
4.OA.3
4.MD.2
Unit
Title
Addition and Subtraction
Review
CCS
Skill(s)
Addition
Subtraction
Add and subtract in word problems
Add and subtract money
Use estimation in addition and subtraction
Odd/Even numbers
Properties of addition
Addition and subtraction problems with
variables
3. Addition and subtraction fact families
4. Patterns/sequences
1.
2.
3.
4.
5.
6.
1.
2.
Duration
2 weeks
4.OA.3
4.OA.5
ISAT
1
Algebra: Addition and
Subtraction
4.NBT.1
ISAT
2
Understanding Place
Value
1. Place value through hundred millions
2. 3 forms of numbers: standard, word, and
expanded
3. Compare and order numbers
4. Round numbers
2 Weeks
4.OA.1
4.OA.2
ISAT
3
Multiplication
1. Represent multiplication problems
2. Multiplication facts through 12’s
3. Multiplication word problems with and without
variables
4. Multiply 2 digit by 1 digit numbers
5. Estimation in multiplication
2 Weeks
4.OA.4
4
Patterns in Multiplication
1.
2.
3.
4.
5.
6.
2 Weeks
Square root
Square numbers
Multiplication as repeated addition
Factors
Multiples
Prime and composite numbers
2 Weeks
4.MD.1
4.MD.2
5
Measurement
4.MD.3
6
Area, Perimeter, and
Volume
4.OA.2
ISAT
7
Division
4.G.1
4.G.2
4.G.3
ISAT
8
Geometry: Lines, Rays,
and Figures
4.NF.1
4.NF.2
9
Geometry: Angles
1. Measurement Units (km, m, cm, kg, g, lb, oz, l, ml,
hr, min, and sec)
2. Convert measurement units
3. Measure length and distance
4. Measure mass
5. Capacity
6. Elapsed rime
1. Find area of a rectangle
2. Find perimeter of any shape
3. Find volume given cubic units
1. Division facts through 12
2. Model division problems
3. Division word problems with and without
variables
4. Estimation in division problems
5. Multiplication and division fact families
1. Points, lines, line segments, and rays
2. Perpendicular and parallel lines
3. Classify 2-D figures
4. Right triangles
5. Recognize polygons and non-polygons
6. Congruent and similar figures
7. Lines of symmetry
8. Recognize 3-D figures based on faces, edges, and
vertices
9. Flips, turns, and slides
10. Composing and decomposing shapes
1. Three types of angles
2. Measure Angles using a Protractor
3. Sketch angles
4. Solve addition and subtraction problems with
angles
3 Weeks
1 Week
2 Weeks
3 Weeks
1 Week
4.NF.2
4.NF.1
ISAT
10
Understanding Fractions
and Mixed Numbers
1.
2.
3.
4.
5.
Read and write fractions and mixed numbers
Fractions on a number line
Compare fractions
Order fractions
Find equivalent fractions
2 ½ Weeks
4.NF.3
4.NF.3.c
4.NF.3.d
11
Adding and Subtracting
Fractions
1 Week
4.NF.6
4.NF.7
ISAT
12
Understanding Decimals
1. Add and subtract fractions with like
denominators
2. Add and subtract fractions in word problems
3. Add fractions with denominators of 10 and 100
4. Decompose a fraction
1. Find decimals on a number line
2. Place value of decimals to thousandths
3. Compare decimals
4. Read and write decimals
4.MD.4
ISAT
13
Represent and Interpret
Data, Probability
4.NBT.5
4.NBT.6
14
Multiply and Divide MultiDigit Numbers
1. Make and solve problems with line plots
2. Solve problems using pictographs, bar graphs,
line plots, venn diagrams, tally charts, tables,
line graphs, or circle graphs
3. Create one of the above graphs
4. Find Mode and Range
5. Probability of Events
1. Multiply up to 4 digits by 1 digit
2. Multiply 2 digits by 2 digits
3. Divide up to 4 digits by 1 digit with remainders
4. Relationship between multiplication and
division
1 ½ Weeks
2 Weeks
2 Weeks
4.NF.4
15
Multiplying Fractions
1. Understand fraction a/b as multiple of 1/b
2. Multiplying fractions by whole numbers in word
problems
3. Fraction models to represent multiplication of
fractions
1 Week
Review: Addition and Subtraction
Approximate Duration of Study: Two weeks
CCS
4.NBT.
4
Essential
Question
How does place
value help us add
and subtract
numbers?
Concept
Add multidigit numbers
Subtract
multi-digit
numbers
4.OA.3
How can we use
addition and
subtraction to
solve word
problems?
Addition
Word
Problems
Subtraction
Word
Problems
4.MD.2
ISAT
Review
How can we use
our knowledge of
addition and
subtraction to
solve problems
involving money?
What are some of
the properties of
numbers?
Money
Problems
Odd and Even
Numbers
Skills
Add multi-digit
numbers
Use regrouping when
adding
Subtract multi-digit
numbers with and
without regrouping
Regroup across zero
Solve addition word
problems
Use estimation in
addition word
problems
Solve multi-step
subtraction word
problems
Use estimation in
subtraction problems
Use addition and
subtraction to solve
problems involving
money and making
change
Assessments
Pretest
Posttest
Quiz #1
Quiz #2
Determine whether a
number is odd or even
Vocabulary: Addition, Subtraction, Addend, Sum, Difference, Estimate, Regroup, Odd, Even
Helpful Strategies and Resources
SMART Notebook Lesson – Addition with Regrouping
SMART Notebook Lesson – Adding 3-digit numbers
SMART Notebook Lesson – Subtraction with
Regrouping
http://www.kidzone.ws/math/wordproblems.htm
(create word problems from different grade levels)
Picture Book – Betcha! (estimating)
SMART Notebook lesson – Add and Subtract Money
and Making Change
SMART Notebook Lesson – Odd and Even Numbers
Online Game http://www.sheppardsoftware.com/mathgames/early
math/Fruit_shoot_odd_even.htm
Unit 1 – Algebra: Addition and Subtraction
Approximate Duration of Study: Two weeks
CCS
Essential
Question
How does place
value help us add
and subtract
numbers?
Concept
4.OA.3
How do we solve
problems with
unknown
numbers using
addition and
subtraction?
Solving
problems with
variables
ISAT
Concept
How are addition
and subtraction
related?
Why do we need
to create or
answer a
pattern?
Fact Families
ISAT
Concept
Properties of
addition
Skills
Understand the
three properties of
addition:
commutative,
Identity, and
Associative
Solve addition and
subtraction
equations with
variables
Solve addition and
subtraction word
problems with
variables
Assessments
Pretest
Posttest
Quiz #1
Quiz #2
Helpful Strategies and Resources
SMART Notebook lesson – Properties of Addition
SMART notebook lesson – Addition Stories with
Missing Addends
SMART Notebook lesson – subtracting with missing
numbers
Online Game http://www.mathgames4children.com/Games/Games
_grade_6/gamesMemory_games/Algebra/Algebra_finding%20missing
%20values/index.html
Create addition
SMART notebook lesson – Addition and Subtraction
and subtraction
Fact Families
fact families
4.OA.5
Patterns/
Generate a number
SMART notebook lesson – Patterns and Sequences
Sequences
or shape pattern
that follows a given
rule
Identify features in
the pattern that
were not in the
rule
Vocabulary: Addition, Subtraction, Commutative Property, Associative Property, Identity Property, Equation, Variable, Fact Family, Sequence, Pattern
Unit 2 – Understanding Place Value
Approximate Duration of Study: 2 weeks
CCS
4.NBT.1
ISAT
Review
Essential
Question
Why do digits in
a number have
different values?
Concept
Skills
Place value of
digits in a
number
Recognize the
place value of
digits in numbers
through millions
Recognize that a
digit in one place
value represents
ten times its place
to the right
How many
different ways
can we use place
value to write
numbers?
Writing
numbers in
different
forms
Write numbers in
standard form
Write numbers
using words
Write number
using expanded
form
How can we use
place value to
compare and
order numbers?
Compare and
Order
Numbers
Compare and order
whole numbers
Assessments
Pretest
Posttest
Quiz #1
Quiz #2
Helpful Strategies and Resources
Picture book – Sir Cumference and All the King’s Tens
(Introduction to place value through thousands)
Picture book – A Million Fish More or Less
SMART Notebook lesson – place value through
hundreds
SMART Notebook lesson- place value through
hundred millions (Place Value – and three forms of
numbers)
Online Video and website http://studyjams.scholastic.com/studyjams/jams/mat
h/numbers/place-value.htm
Smart Notebook lesson – place value through
hundred millions (from above)
Online Activities for Place Value - http://www.freetraining-tutorial.com/place-value-games.html#jumble
Online Video and activity http://studyjams.scholastic.com/studyjams/jams/mat
h/numbers/expanded-notation.htm
SMART Notebook lesson – Ordering Whole Numbers
SMART Notebook lesson – Comparing Whole
Numbers
Online Game - Comparing Numbers
http://www.crickweb.co.uk/ks2numeracycalculation.html#Quiz-Algebra
4.NBT.1 How can use
Rounding
Round multi-digit
Brain Pop Video - Rounding
place value to
Numbers
numbers to each
SMART Notebook lesson – Rounding to the nearest
round numbers?
place value
ten
Vocabulary: Place Value, Standard Form, Expanded Form, Compare, Round, Ones, Tens, Hundreds, Thousands, Millions
Unit 3 – Multiplication
Approximate Duration of Study: 2 weeks
CCS
4.OA.1
Essential
Question
How can we
represent
multiplication?
ISAT
Review
4.OA.2
Concept
Multiplication
as a
comparison
Multiplication
Facts
How can we use
multiplication in
word problems?
Multiplication
word
problems
What other ways
can we use
multiplication to
solve problems?
Two-Digit
Multiplication
Skills
Recognize
multiplication as a
comparison (35 is 5
times as many as 7)
Use visual models
and arrays to
represent
multiplication
Compute
multiplication facts
through 12
Multiply to solve
word problems
Solve multiplication
word problems
with variables
Multiply two digit
numbers by onedigit numbers
Estimation in
Use estimation to
multiplication
solve multiplication
problems
Vocabulary: Multiplication, Estimation, Array, Variable
Assessments
Pretest
Posttest
Quiz #1
Quiz #2
Helpful Strategies and Resources
http://www.bbc.co.uk/skillswise/numbers/wholen
umbers/multiplication/mental/game.shtml
(mental multiplication practice)
Brainpop Video - Multiplication
Online flash cards – www.multiplication.com
SMART Notebook lesson – 2 digit x 1 digit
multiplication
Unit 4 – Patterns in Multiplication
Approximate Duration of Study: 2 weeks
CCS
4.OA.4
Essential
Concept
Question
How can patterns Patterns in
found in
multiplication
multiplication
help up to solve
problems?
Skills
Assessments
Recognize Patterns
Pretest
in the
Posttest
multiplication table
Quiz #1
Find the Square
Quiz #2
Root of a Number
Calculate squares
of a number
Represent
multiplication as
repeated addition
(ISAT Review)
Factors and
Find factor pairs for
Multiples
numbers 1-100
Recognize that a
whole number is a
multiple of all of its
factors
Determine whether
a number from 1100 is a multiple of
a given number
Prime and
Determine whether
Composite
a number from 1Number
100 is prime or
composite
Vocabulary: Multiplication, Square Roots, Factor, Multiple, Prime, Composite
Helpful Strategies and Resources
SMART Notebook lesson – Factors and Multiples
The Factor Game
Smart Notebook lesson – Prime and Composite
Numbers
Unit 5 – Measurement
Approximate Duration of Study: 3 weeks
CCS
4.MD.1
4.MD.2
Essential
Question
What can we
use to measure
objects?
Concept
How can we
compare units
of measurement
together?
Converting
measurements
How can we use
our knowledge
of measurement
to solve word
problems?
Solving
measurement
problems
Understanding
Measurement
units
Elapsed Time
Skills
Recognize
measurement units
including km, m, cm;
kg, g; lb, oz; l, ml; hr,
min, sec
Convert
measurements from
smaller units to larger
units
Record measurements
in a two-column table
Ex. In, ft (1, 12) (2,24)
(3,36) etc…
Solve problems
involving length,
distance, and mass
Solve problems
involving capacity
Solve these problems
using simple fractions
and decimals and
conversions
Solve problems
involving intervals of
time
Assessments
Pretest
Posttest
Quiz #1
Quiz #2
Quiz #3
Helpful Strategies and Resources
SMART Notebook – Metric Measurements and
Conversions
SMART Notebook Lesson – Customary Units of
Measurement
SMART Notebook lesson – Converting
Measurements
Picture Book – Room for Ripley (Capacity)
SMART Notebook lesson - Capacity
SMART Notebook Activity – Measurement Jeopardy
SMART Notebook Activity – Measurement Olympics
– Measuring Length
Brain Pop Video – Elapsed Time
SMART Notebook lesson – Elapsed Time
SMART Notebook Activity – Elapsed Time Board
Game
Vocabulary: Kilometer, meter, centimeter, kilogram, gram, pound, ounce, hour, minute, second, converting measurements, length, distance, mass,
capacity, elapsed time
Unit 6 – Area, Perimeter, and Volume
Approximate Duration of Study: 1 week
CCS
4.MD.3
Essential
Question
How can we use
our knowledge
of
measurements
in real word
situations?
Concept
Finding
Perimeter and
Area
Skills
Calculate the area
of a rectangle using
a formula
Calculate the
perimeter of a
rectangle using a
formula
Apply these
formulas in real
word problems (Ex.
Find the width of a
room given the
area of the flooring
and the length)
ISAT
Finding Volume
Calculate the
Review
volume of a threedimensional figure
given a figure that
shows cubic units
Vocabulary: Perimeter, Area, Volume , length, width
Assessments
Pretest
Posttest
Quiz
Helpful Strategies and Resources
SMART Notebook lesson - Perimeter
Picture Book – Spaghetti and Meatballs for All!
(introduction to area and perimeter)
SMART Notebook lesson - Area
SMART Notebook lesson - Volume
Unit 7 – Division
Approximate Duration of Study: 2 weeks
CCS
4.OA.2
Essential
Question
How can we use
division to solve
problems?
Concept
Dividing
Numbers
Skills
Assessments
Understand that
Pretest
division is the
Posttest
inverse of
Quiz #1
multiplication
Quiz #2
Division Facts
through 12
Model division
problems using
arrays, area
models, and
equations
Division word
Solve multi-step
problems
division word
problems with
whole numbers
Solve division word
problems with
variables
Use estimation to
assess answers to a
division problem
ISAT
How are division Fact Families
Find multiplication
Review
and
and division fact
multiplication
families given a set
related?
of numbers
Vocabulary: multiplication, division, array, equation, variable, fact family, estimation
Helpful Strategies and Resources
Brainpop Video - Division
Picture Book – The Doorbell Rang (Introduction to
Division)
Picture Book – Remainder of One (Introduction to
remainders in division)
Online Game http://www.bbc.co.uk/skillswise/numbers/wholenu
mbers/division/problemsolving/game.shtml
SMART Notebook lesson – Modeling Division word
problems
Unit 8 – Geometry: Lines, Rays, and Figures
Approximate Duration of Study: 3 weeks
CCS
4.G.1
4.G.2
ISAT
Review
4.G.3
Essential
Question
What are the
different ways
we can use lines
in geometry?
Concept
How can we
recognize twodimensional
figures?
Twodimensional
figures
Drawing lines
Radius and
Diameter
How can we find Identifying
lines of
Lines of
symmetry?
symmetry
Skills
Draw points, lines,
line segments, and
rays
Draw
perpendicular and
parallel lines
Classify 2-D figures
based on parallel
and perpendicular
lines
Recognize right
triangles
Recognize Polygons
and Non –Polygons
(ISAT)
Identify congruent
and similar figures
(ISAT)
Understand and
calculate the radius
and diameter of a
circle
Recognize a line of
symmetry in a 2-D
figure
Identify
symmetrical figures
Draw lines of
symmetry
Assessments
Pretest
Posttest
Quiz #1
Quiz #2
Quiz #3
Helpful Strategies and Resources
Brainpop Video – Parallel and Perpendicular Lines
SMART Notebook Lesson – Lines, segments, rays,
parallel and perpendicular lines
Brain Pop Video - Polygons
SMART Notebook lesson - Polygons
SMART Notebook lesson – 2D Shapes
SMART Notebook lesson – Congruent and Similar
Figures
Picture Book – Sir Cumference and the First Round
Table (Introduction to diameter and radius)
SMART Notebook lesson - Symmetry
Online Lessonhttp://www.linkslearning.org/Kids/1_Math/2_Illustr
ated_Lessons/4_Line_Symmetry/index.html
ISAT
Review
How can we
recognize threedimensional
figures?
What are the
different ways
in which figures
can move?
Three –
dimensional
figures
Recognize threePicture Book – Sir Cumference and the Sword in the
dimensional figures
Cone
based on faces,
SMART Notebook lesson – 3D Shapes
edges, and vertices
ISAT
Moving Figures
Identify images
SMART Notebook lesson – Slides, Flips, and Turns
Review
resulting from
flips(reflections),
slides
(translations), or
turns (rotations)
How can shapes Composing and
Predict the result
be put together Decomposing
of composing or
and taken
Shapes
decomposing
apart?
shapes or figures
Vocabulary: point, line, line segment, ray, parallel, perpendicular, two-dimensional, right triangle, polygon, symmetry, three-dimensional, face, edge,
vertices
Unit 9 – Geometry: Angles
Approximate Duration of Study: 1 weeks
CCS
4.NF.1
Essential
Question
How can we
understand
angles?
Concept
Understanding
Angles
Skills
Understand what
an angle is
Draw the three
types of angles
Recognize that an
angle that turns
through 1/360 of a
circle is called a
“one-degree angle”
4.NF.2
How do we
Measuring
Measure angles in
measure
angles
whole number
angles?
degrees using a
protractor
Sketch angles of a
specific measure
Solve addition and
subtraction
problems to find
unknown angles on
a diagram
Vocabulary: Angle, obtuse, right, acute, protractor, degrees
Assessments
Pretest
Posttest
Quiz
Helpful Strategies and Resources
SMART Notebook Lesson – Types of Angles
SMART Notebook Lesson – Measuring Angles
Unit 10 – Understanding Fractions and Mixed Numbers
Approximate Duration of Study: 2 ½ weeks
CCS
ISAT
Review
ISAT
Review
4.NF.2
4.NF.1
Essential
Question
How can we
recognize
fractions?
Concept
Skills
Fractions and
Mixed
Numbers
Read and write fractions
Read and write mixed
numbers
How can we
recognize
fractions on a
number line?
How can we
compare
fractions?
Fractions on a
Number Line
Identify and locate whole
numbers, halves, and fourths
on a number line
Comparing and
Ordering
Fractions
Use common denominators
to compare two fractions
Use benchmark fractions to
compare and order fractions
Use symbols to compare
fractions
How can we
understand
equivalent
fractions?
Equivalent
Fractions
Assessments
Helpful Strategies and Resources
Pretest
Posttest
Quiz #1
Quiz #2
Explain why two fractions are
equivalent using visual
fraction models
Recognize that a fraction a/b
is equivalent to
(n x
a)/(n x b)
Recognize and generate
equivalent fractions
Vocabulary: Fraction, Mixed Number, Numerator, Denominator, Equivalent, Visual Fraction model
Picture Book – Apple Fractions (Introduction to
Fractions)
Online Fraction Lessons and Actvities – Fractions,
Mixed Numbers, Equivalent Fractions http://www.kidsolr.com/common/images/fractio
ns.swf
SMART Notebook lesson – Fractions on a Number
Line
SMART Notebook lesson – Equivalent Fractions
Equivalent Fractions – MC Question Set
Unit 11 – Adding and Subtracting Fractions
Approximate Duration of Study: 1 week
CCS
4.NF.3.c
4.NF.3.d
4.NF.3
Essential
Question
How can we use
the properties
of addition and
subtraction with
fractions?
Concept
What are the
different ways
we can
represent a
fraction?
Decomposing
Fractions
Adding and
Subtracting
Fractions
Skills
Add and subtract
fractions and mixed
numbers with like
denominators
Add and subtract
fractions in word
problems with like
denominators
Use fraction models to
represent fraction
word problems
Add two fractions
with denominators of
10 and 100
Decompose a fraction
into a sum of fractions
(ex: 3/8 = 1/8 + 1/8 +
1/8)
Understand the
addition and
subtraction of
fractions as joint and
separating parts of a
whole
Assessments
Pretest
Posttest
Quiz
Helpful Strategies and Resources
SMART Notebook Lesson – Adding and Subtracting
Fractions with like denominators
Online Fraction Lessons and Actvities – Adding and
Subtracting Fractions
http://www.kidsolr.com/common/images/fractions.
swf
Vocabulary: Fraction, Mixed Number, Numerator, Denominator, Equivalent, Visual Fraction model, Decompose
Unit 12 – Understanding Decimals
Approximate Duration of Study: 1½ weeks
CCS
4.NF.6
Essential
Question
How can we
relate fractions
to their
equivalent
decimals?
Concept
Writing
decimals from
fractions
Skills
Assessments
Locate a decimal on a
Pretest
number line
Posttest
Use decimal notation
Quiz
for fractions with
denominators 10 and
100
ISAT
How does place Understanding
Recognize the place
Review
value relate to
Decimal Place
value of decimals to
decimals?
Value
the thousandths place
Read and Write
Decimals
Add and Subtract
Decimals
4.NF.7
How can we
Comparing and
Compare two
compare two
Ordering
decimals to the
decimals?
Decimals
hundredths place
Recognize that a
comparison will work
only when two
decimals refer to the
same whole
Use the symbols <, >,
and = to compare
decimals
Represent the
comparisons using
visual models
Vocabulary: Decimal, Fraction, Denominator, Tenths, Hundredths, Thousandths, Place Value
Helpful Strategies and Resources
Brainpop Video - Decimals
SMART Notebook Lesson – Decimal Overview and
Ordering Decimals
SMART Notebook Lesson –Placing Decimals on a
Number Line
SMART Notebook lesson – Decimals Place Value and
Reading and Writing Decimals
SMART Notebook Lesson – Comparing and Ordering
Decimals
Unit 13 – Represent and Interpret Data, Probability
Approximate Duration of Study: 2 weeks
CCS
4.MD.4
ISAT
Review
ISAT
Review
ISAT
Review
Essential
Question
How can we
represent and
understand
data?
Concept
Creating Line
Plots
Reading data
How can we find Mode and
characteristics
Range
in a set of data?
How can we use Probability
probability to
solve math
problems?
Skills
Make a line plot to
display data
Use data with
measurements of
fractions in a line plot
Solve problems using
information gained in
a line plot including
fractions
Read and interpret
data represented in a
pictograph, bar graph,
line plot, venn
diagram, tally chart,
table, line graph, or
circle graph
Create one of the
above charts given a
set of data
Determine the mode
and range, given a set
of data or a graph
Classify events using
words such as certain,
most likely, equally
likely, least likely,
possible, and
Assessments
Helpful Strategies and Resources
Pretest
Posttest
Quiz #1
Quiz #2
SMART Notebook Lesson – Interpreting Data in a
variety of graphs
SMART Notebook Lesson – Median, Mode, and
Range
Picture Book – A Very Improbable Story (probability)
Brain Pop Video - Probability
impossible
Describe the chances
associated with a
picture or event (3 out
of 4 or ¾)
Vocabulary: Line Plot, fraction, mode, range, bar graph, pictograph, venn diagram, tally chart, line graph, circle graph, probability
Unit 14 – Multiply and Divide Multi-Digit Numbers
Approximate Duration of Study: 2 weeks
CCS
4.NBT.5
4.NBT.6
Essential
Question
How can we
multiply large
numbers?
Concept
How can we
divide large
numbers?
Dividing large
numbers
Multiplying
large numbers
Skills
Multiply a number up
to four digits by a onedigit number
Multiply two-digit by
two-digit numbers
Use equations, arrays,
and area models to
model multiplication
Divide numbers with
remainders with up
to four-digit dividends
and one-digit divisors
Understand the
relationship between
multiplication and
division
Model division
problems using
equations, arrays, and
area models
Vocabulary: Multiplication, Division, Product, Divisor, Dividend, Quotient
Assessments
Pretest
Posttest
Quiz #1
Quiz #2
Helpful Strategies and Resources
SMART Notebook Lesson – 2 digit by 2 digit
multiplication using the lattice method
SMART Notebook Lesson – 2 digit by 2 digit
multiplication
SMART Notebook Activity – Division Game
SMART Notebook Lesson – Long Division – 2 and 3
digit by one digit
SMART Notebook Lesson – Long Division – 3 digit
with money
Unit 15 – Multiplying Fractions
Approximate Duration of Study: 1 week
CCS
4.NF.4
Essential
Question
How can we
multiply
fractions?
Concept
Multiplying
Fractions
Skills
Understand a fraction
a/b as a multiple of
1/b (ex. 5/4 = 5 x (1/4)
Understand a multiple
of a/b as a multiple of
1/b (ex. 3 x (2/5) = 6 x
(1/5) = 6/5
Solve word problems
involving
multiplication of
afraction by a whole
number
Use visual fraction
models and equations
to represent the
multiplication of
fractions in word
problems
Vocabulary: Fraction, Numerator, Denominator, Multiplication, Multiple
Assessments
Pretest
Posttest
Quiz
Helpful Strategies and Resources
Online Fraction Lessons and Actvities – Multiplying
Fractions
http://www.kidsolr.com/common/images/fractions.
swf
Online Resources for All Standards
 Interactive Sites for All Concepts
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o
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o
http://www.ixl.com/math/grade-4
http://www.newton.k12.ks.us/tech/fourth_grade_internet_activities1.htm#Math
http://www.aaamath.com/grade4.html
http://teacher.scholastic.com/maven/index.htm?eml=TNL/e/20110301/email///March_Update///Generic//
///
 Online Games for All Concepts
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o
o
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http://www.funbrain.com/cgi-bin/getskill.cgi?A1=gba&A2=10&A7=0
http://www.coolmath4kids.com/
http://www.softschools.com/grades/3and4.jsp
http://mathslice.com/ol_pow.php
http://www.sheppardsoftware.com/math.htm
 Math Worksheets for All Concepts
o http://www.homeschoolmath.net/worksheets/grade_4.php
o http://www.softschools.com/grades/3and4.jsp
 Math Jeopardy Games for All Concepts
o http://www.hardin.k12.ky.us/res_techn/sbjarea/math/mathjeopardy.htm
o http://www.mathwire.com/games/jeopardygames.html