2015 - 2016
Mathematics: Fourth Grade
In Grade 4, instructional time will focus on the following areas: numbers through one million,
fractions, basic algebraic concepts, two-dimensional figures, and application of measurement, data displays,
and use the use of mathematical tools.
Students will read, write, compare, and round numbers through one million. Students will also add,
subtract, and estimate whole numbers. In addition, they will multiply and divide whole numbers.
Students will find equivalencies and compare fractions. The fourth graders will solve problems
(using different operations) involving fractions and whole numbers with like and unlike denominators.
Students will also convert between fractions and decimals. This will lay the foundation for grade five.
A foundation for algebra will focus on using numbers and symbols to model the concepts of
expressions and equations. In addition, students will find the factors and multiples as well as determine if a
number is prime or composite. The fourth grade students will generate numeric and nonnumeric patterns.
Fourth graders will identify properties of two-dimensional figures. We will also be able to recognize
and draw lines of symmetry.
The learner will solve problems involving length, weight, mass, liquid volume, time, area, and
perimeter. They will interpret, organize, and display data in a variety of ways. Students will use protractors to
measure and draw angles.
Course Information:
Frequency & Duration: Daily for 60 minutes
Text: My Math (2013), McGraw Hill
v. 2015 - 2016
Mathematics: Fourth Grade
Content: Place Value & Add and Subtract Whole Numbers
Essential
Question:
How does place value help represent the value of numbers?
What strategies can I use to add or subtract?
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Skills:
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Assessment:
Recommended
Activity:
Duration: Aug/Sep (4 weeks)
Read, write, and identify the value of
whole numbers
Read, write, and identify the value of
whole numbers by increasing or
decreasing a numbers
Compare two-digit numbers that are
greater than, less than, or equal to
Order numbers through millions
Use place value to round
Solve problems using the four-step
plan
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Addition properties and subtraction
rules
Addition and subtraction patterns
Add and subtract mentally
Estimate sums and differences
Add whole numbers
Subtract whole numbers
Subtract across zeros
Solve multi-step word problems
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Pre-Assessment
Mid-Chapter Assessment (Quiz)
Post Assessment
Students are able to write numbers in standard, expanded, and word form
Students are able to compare and order numbers to the millions
Students are able to add and subtract whole numbers and estimate sums and
differences
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Games
Foldables
Draw a Diagram
Project
Standards:
CC.2.1.4.B.1 Apply place value concepts to show an understanding of multi-digit whole
numbers.
CC.2.1.4.B.2 Use place-value understanding and properties of operations to perform multidigit arithmetic.
Vocabulary:
Increase, Decrease, Digit, Is equal to (=), Is less than (<), Expanded form, Is greater than
(>), Number line, Place Value, Period, Standard Form, Word Form, Associative Property of
Addition, Commutative Property of Addition, Equation, Identity Property of Addition,
Minuend, Subtrahend, Unknown, variable
Comments:
v. 2015 - 2016
Mathematics: Fourth Grade
Content: Multiplication & Division with One-Digit Numbers
Essential
Question:
Skills:
Duration: Oct (4 weeks)
How are multiplication and division related?
How can I communicate multiplication?
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Relate Multiplication and Division
Relate Division and Subtraction
Multiplication as Comparison
Compare to Solve Problems
Multiplication Properties and
Division Rules
The Associative Property of
Multiplication
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Find a Rule (Practice writing
expressions with variables)
Multiples of 10, 100, and 1,000
Round to Estimate Products
Use place value to multiply
Use models to multiply
Assessment:
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Pre-Assessment
Mid-Chapter Assessment (Quiz)
Post-Assessment
Students are able to use properties to multiply and divide whole numbers
Students are able to identify factors and multiples of whole numbers
Students are able to find patterns and estimate products
Recommended
Activity:
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Find your fact family
Standards:
Vocabulary:
Comments:
CC.2.2.4.A.2 Develop and/or apply number theory concepts to find factors and multiples.
Associative Property of Multiplication, Commutative Property of Multiplication, Decompose,
Dividend, Divisor, Fact Family, Factor, Identity Property of Multiplication, Multiple, Product,
Quotient, Repeated Subtraction, Zero Property of Multiplication, Multiples, Patterns
v. 2015 - 2016
Mathematics: Fourth Grade
Content: Multiply with One-Digit Numbers Continued
Collect and Organize Data
Essential
Question:
How can I communicate multiplication?
How can I use a graph to organize data?
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Skills:
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Assessment:
Recommended
Activity:
Standards:
Vocabulary:
Comments:
Duration: November (3½ weeks)
Multiply by a 2-digit number
Understand the difference between
expressions and equations
Explore multiplication with
regrouping using models
Use the Distributive Property to
make multiplication easier
Multiply a 2-digit number by a 1digit number
Multiply by a multi-digit number
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Determine if a problem needs an
estimate or an exact answer
Multiply across zeros
Collect and organize data using
frequency tables
Compare data in graphs using a
variety of scales
Solve problems by using the
strategy make a graph
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Pre-Assessment
Mid-Chapter Assessment (Quiz)
Post-Assessment
Students are able to find patterns and estimate products
Students are able to translate information from one type of table, chart, or graph to
another
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Take a survey
Make a tally table
Make a frequency and cumulative frequency chart
Make a bar graph with the results
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CC.2.2.4.A.2 Develop and/or apply number theory concepts to find factors and multiples.
CC.2.4.4.A.2 Translate information from one type of data display to another.
Partial Products, Distributive Property, Regroup, Survey, Frequency, Cumulative Frequency,
Median, Mode, Range, Interval, Scale, Bar Graph
v. 2015 - 2016
Mathematics: Fourth Grade
Content: Analyze and Graph Data & Time
Essential
Question:
Skills:
Assessment:
How do you know what type of graph to make?
How can I use elapsed time to create a schedule?
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Make and read double bar graphs
Read line graphs
Make a line graph
Make a line plot
Choose an appropriate graph
Draw conclusions using graphs
Read and write time to the nearest
second
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Pre-Assessment
Mid-Chapter Assessment (Quiz)
Post-Assessment
Students are able to translate information from one type of table, chart, or graph to
another
Identify time (analog or digital) as the amount of
minutes before or after the hour
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Recommended
Activity:
Standards:
Vocabulary:
Comments:
Duration: December (4 weeks)
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Identify a given time as a.m. or p.m.
Calculate elapsed time using clocks
and schedules
Solve problems by using the skill
sequence information
Find elapsed time using a calendar
Make a bar graph
Make a line graph
Make a schedule
CC.2.4.4.A.2 Translate information from one type of data display to another.
Double Bar Graph, Line Graph, Line Plot, Trends, Seconds, A.M., P.M., Elapsed Time,
Decade, Century
v. 2015 - 2016
Mathematics: Fourth Grade
Content: Fractions & Geometry
Essential
Question:
How can you compare fractions to make equivalent fractions?
How are different ideas about Geometry connected?
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Skills:
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Assessment:
Duration: January (3 ½ weeks)
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Factors and Multiples
Prime and Composite Numbers
Read and write fractions
Recognize, extend, and generate
equivalent fractions with fraction
bars and number lines
Simplest Form
Compare and order fractions using
fraction bars and number lines
Read and write mixed numbers and
to express fractions greater than 1 as
a mixed number
Turn an improper fraction into a
mixed number
Investigate how to add and subtract
fractions with the same denominator
Decompose a fraction or a mixed
number into a sum of fractions with
the same denominator
Compare two fractions with
different numerators and
denominators
Add and subtract mixed numbers
Subtract unlike fractions with
denominators of 10 and 100
Solve word problems involving
addition and subtraction of fractions
having like denominators
Multiply a whole number by a unit
fraction
Multiply a whole number by a nonunit fraction
Solve word problems involving
multiplication of a whole number by
a fraction
Draw points, lines, line segments,
and rays and identify these in twodimensional figures
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Draw parallel, intersecting, and
perpendicular lines and identify
these in two-dimensional figures
Understand the concepts of angles
and angle measurement
Use concept of angle measurement
to classify angles
Use a protractor to measure angles
to the nearest degree
Use a protractor to draw angles of a
specified measure
Solve addition and subtraction
problems to find unknown angles on
a diagram in real-world and
mathematical situations
Classify triangles based on angle
measure and describe triangles using
their attributes (right triangle)
Classify quadrilaterals using their
attributes
Identify and draw lines of Symmetry
for a 2-dimensional figure
Understand the difference between 2
and 3 dimensional figures
Identify congruent and similar
figures and predict the results of
flips, slides, and turns
To locate points on a coordinate grid
Calculator skills
To record outcomes of experiments
using tables
Predict outcomes of experiments
Pre-Assessment
Mid-Chapter Assessment (Quiz)
Post-Assessment
Students are able to show equivalent fractions and order fractions
Students are able to classify two-dimensional figures and draw lines and angles
Students are able to identify lines of symmetry and symmetric shapes
v. 2015 - 2016
Mathematics: Fourth Grade
Recommended
Activity:
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Standards:
Vocabulary:
Comments:
Use fraction bars to make equivalent fractions
Draw the fraction bar chart
Compare and order fractions using fraction bars
Use Geo boards to make shapes
Read The Greedy Triangle Book
CC.2.1.4.C.1 Extend the understanding of fractions to show equivalence and ordering.
CC.2.1.4.C.2 Build fractions from unit fractions by applying and extending previous
understandings of operations on whole numbers.
CC.2.3.4.A.1 Draw lines and angles and identify these in two-dimensional figures.
CC.2.3.4.A.2 Classify two-dimensional figures by properties of their lines and angles.
CC.2.3.4.A.3 Recognize symmetric shapes and draw lines of symmetry.
Fraction, Equivalent fractions, Simplest form, Mixed numbers, Like Fractions, Acute angle,
Acute Triangle, Angle, Degree, Endpoint, Intersecting, Line, Line of symmetry, Line
segment, Line symmetry, Obtuse angle, Obtuse Triangle, One-degree angle, Parallel,
Parallelogram, Perpendicular, Point, Ray, Rectangle, Rhombus, Right angle, Right Triangle,
Square, Trapezoid, Triangle, Quadrilateral, Pentagon, Hexagon, Octagon, Polygon, TwoDimensional, Three-Dimensional, Ordered Pair, X-axis, Y-axis, X-coordinate, Y-coordinate,
Flip, Turn, Slide, Similar, Congruent, Outcomes, Event, Predict, Likely, Unlikely, Equally
likely
v. 2015 - 2016
Mathematics: Fourth Grade
Content: Understand Decimals; Add and Subtract
Decimals; Patterns and Sequence
Essential
Question:
How are fractions and decimals related?
How are patterns used in mathematics?
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Skills:
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Assessment:
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Recommended
Activity:
Duration: February (5 weeks)
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Learn to read and write fraction and
decimal parts
Explore decimals to the thousandths
place
Read and write equivalent decimals
Relate mixed numbers and decimals
Compare and order two decimals to
the hundredths place
Round decimals using rounding
rules and number lines
Estimate decimal sums and
differences
Add two fractions with respective
denominators 10 and 100
Use decimal notation for fractions
with denominators 10 or 100
Write differences of decimals
Write sums and differences of
decimals
Describe nonnumeric growing and
repeating patterns
Identify, describe, and extend
numeric patterns
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Extend patterns and write
observations about the pattern
Find and use rules to write addition
and subtraction equations
Find and use rules to write
multiplication and division equations
Determine the missing elements in a
function table
Use the order of operations to solve
problems
Explore equations with two
operations
Solve multi-step word problems
posed with whole numbers using the
4-operations using a symbol or letter
for the unknown quantity
Identify the missing symbol that
makes a number sentence true
Use tables to recognize and write
equations with two or more
operations
Pre-Assessment
Mid-Chapter Assessment (Quiz)
Post-Assessment
Students are able to compare fractions and convert a fraction to a decimal up to the
hundredths place
Students are able to identify patterns and solve problems using addition, subtraction,
multiplication, and division
Play “I Have Who Has”
Create an input/output chart for students to solve
Mathematics: Fourth Grade
Standards:
Vocabulary:
Comments:
v. 2015 - 2016
CC.2.1.4.C.3 Connect decimal notation to fractions, and compare decimal fractions (base ten
denominator e.g., 19/100).
CC.2.2.4.A.4 Generate and analyze patterns using one rule.
CC.2.2.4.A.1 Represent and solve problems involving the four operations.
Decimal, Thousandths, Equivalent decimals, Input, Nonnumeric Pattern, Numeric Pattern,
Output, Pattern, Rule, Sequence, Term
v. 2015 - 2016
Mathematics: Fourth Grade
Content: Measurement (Customary & Metric);
Perimeter and Area
Duration: March (5 ½ weeks)
Why do we convert measurements?
Essential
Question:
How can conversion of measurements help me solve real-world problems?
Why is it important to measure perimeter and area?
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Skills:
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Assessment:
Recommended
Activity:
Estimate and measure length using
customary units
Convert customary units of length –
nearest centimeter and nearest ¼
inch
Estimate and measure customary
capacities
Convert customary units of capacity
Estimate and measure customary
units of weight
Convert customary units of weight
Convert units of time
Identify time (analog or digital) as
the amount of minutes before or
after an hour
Display measurement data in a line
plot(fractions of a unit)
Solve problems involving addition
and subtraction of fractions by using
information presented in line plots
Solve problems involving
measurement
Solve problems using the guess,
check, and revise strategy
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Estimate and measure lengths within
the metric system
Estimate and measure metric
capacities
Estimate and measure mass and
learn the difference between weight
and mass
Make an organized list to solve
problems
Translate information from one type
of display to another
Convert metric units
Solve problems involving
measurement using 4 operations
including distances, intervals of time,
liquid volume, masses of objects,
and money involving fractions and
decimals
Measure perimeter
Solve a simpler problem
Relate Area and Perimeter Length
for rectangles
Area (model and measure)
Perimeter
Square unit
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Pre-Assessment
Mid-Chapter Assessment (Quiz)
Post-Assessment
Students are able to convert from a larger unit to a smaller unit
Students are able to create and analyze a line plot using fractions and whole numbers
Students are able to measure area and perimeter of a rectangle and relate area and
perimeter
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Make a gallon gal or guy
Mathematics: Fourth Grade
Standards:
Vocabulary:
Comments:
CC.2.4.4.A.1
smaller unit.
CC.2.4.4.A.2
CC.2.4.4.A.4
a line plot.
CC.2.4.4.A.6
v. 2015 - 2016
Solve problems involving measurement and conversions from a larger unit to a
Translate information from one type of data display to another.
Represent and interpret data involving fractions using information provided in
Measure angles and use properties of adjacent angles to solve problems.
Customary system, Foot, Yard, Convert, Mile, Capacity, Cup, Fluid ounce, Gallon, Pint,
Quart, Ounce, Pound, Ton, Weight, Seconds, Line plot, Centimeter, Kilometer, Meter,
Metric system, Millimeter, Liter, Milliliter, Gram, Kilogram, Mass, Inch, Unit square
v. 2015 - 2016
Mathematics: Fourth Grade
Content: Multiply with Two-Digit Numbers;
Divide by a One-Digit Number
Essential
Question:
How can I multiply by a two-digit number?
How does division affect numbers?
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Skills:
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Assessment:
Recommended
Activity:
Duration: April/May 6 weeks
Multiply by Tens
Estimate products
Use the Distributive Property to
Multiply
Multiply up to four digits by one
digit
Multiply 2 two-digit numbers
Solve Multi-Step Word Problems
Make a Table
Divide Multiples of 10, 100, and
1,000
Divide up to 4 dividends by one
digit divisors
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Estimate Quotients
Estimate problems through 6-digits
Use place value to divide
Make a Model
Divide with Remainders
Interpret Remainders
Place the First Digit
Distributive Property and Partial
Quotients
Divide Greater Numbers
Quotients with Zeros
Solve Multi-Step Word Problems
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Pre-Assessment
Mid-Chapter Assessment (Quiz)
Post-Assessment
Students will be able to estimate products and quotients
Students will be able to multiply up to 4 digits by 1 digit
Students will be able to multiply 2 two-digit numbers
Students will be able to divide with and without remainders
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Division Dance
Teach Does McDonalds Sell Cheeseburgers? (Divide, Multiply, Subtract, Compare,
Bring down)
Standards:
CC.2.1.4.B.1 Apply place value concepts to show an understanding of multi-digit whole
numbers.
CC.2.1.4.B.2 Use place-value understanding and properties of operations to perform multidigit arithmetic.
CC.2.2.4.A.2 Develop and / or apply number theory concepts to find factors and multiples.
Vocabulary:
Variable, Decompose, Equation, Factor, Product, Operation, Associative Property,
Commutative Property, Distributive Property, Partial products, Dividend, Divisor, Quotient,
Compatible Numbers, Remainder, Partial Quotients
Comments:
v. 2015 - 2016
Mathematics: Fourth Grade
Content: Divide by 2-Digit Divisors
Patterns with Factors and Multiples
Essential
Question:
What is the process of long division?
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Skills:
Duration: May/June (5 weeks)
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Estimate quotients using basic facts
and patterns
Model division of 2-digit divisors
using base –ten blocks
To write estimates and quotients of
division by 2-digit divisors
Correct quotients when the estimate
is too high or too low
To solve problems using the skill
choose the operation
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Pre-Assessment
Mid-Chapter Assessment (Quiz)
Post-Assessment
Students will be able to divide and estimate quotients of division by 2-digit divisors
Recommended
Activity:
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Division Dance
Standards:
Vocabulary:
Comments:
CC.2.1.4.B.1 Apply place value concepts to show an understanding of multi-digit whole
numbers.
CC.2.1.4.B.2 Use place-value understanding and properties of operations to perform multidigit arithmetic.