Download Fourth Grade Math Curriculum Scope and Sequence DRAFT

Fourth Grade Math Curriculum Scope and Sequence
DRAFT- JULY 2009
Time
Frame
3
weeks
Unit
Content Area
Standards
Other resources
available
Number
Sense
Place Value and
Number Sense
4.1.1 Read and write whole numbers
up to 1,000,000.
Indiana Standards
Resource Book
4.1.2 Identify and write whole
numbers up to 1,000,000, given a
place-value model.
4.1.3 Round whole numbers up to
10,000 to the nearest ten, hundred,
and thousand.
4.1.4 Order and compare whole
numbers using symbols for “less
than” (<), “equal to” (=), and
“greater than” (>).
4.3.8 Plot and label whole numbers on a
number line up to 100. Estimate
positions on the number line. (NOT IN
THE BOOK; NEED TO TEACH
USING OTHER RESOURCES)
Connections to text
Chapter 1- Place Value
1.1- Understanding Place
Value
1.2- Place value through the
hundred thousands
1.3-Place value through the
millions
1.5-Problem Solving, Using
a Graph
Chapter 2- Compare and
Order Numbers
2.1- Compare Numbers
2.2- Order Numbers
2.3-Problem Solving- Make a
Table
2.4-Round Numbers
1
Assessments
Place Value End
of Unit
Evaluation
Fourth Grade Math Curriculum Scope and Sequence
DRAFT- JULY 2009
Time
Frame
2 weeks
Unit
Content
Computation
Addition and
Subtraction
Standards
4.2.1 Understand and use standard
algorithms* for addition and
subtraction.
4.2.11 Know and use strategies for
estimating results of any wholenumber computations.
4.2.12 Use mental arithmetic to add or
subtract numbers rounded to hundreds
or thousands.
Other
resources
available
2
Connections to text
Assessments
Chapter 3- Add and
Subtract Whole Numbers
3.1-Use Mental Math
Strategies
3.2- Estimate Sums and
Differences (Front-End
Estimation can introduced
only, but focus on rounding)
3.3- Add and Subtract to 4
digit numbers
3.4- Subtract Across 0s
3.6- Problem SolvingEstimate or Find Exact
Answers (Important!)
Addition and
Subtraction End
of Unit
Evaluation
Fourth Grade Math Curriculum Scope and Sequence
DRAFT- JULY 2009
Time
Frame
2 weeks
Unit
Content
Standards
Computation
Multiplication
and Division
(Facts)
4.2.2 Represent as multiplication any
situation involving repeated addition.
4.2.3 Represent as division any
situation involving the sharing of
objects or the number of groups of
shared objects.
4.2.4 Demonstrate mastery of the
multiplication tables for numbers
between 1 and 10 and of the
corresponding division facts. **
Other resources
available
•
•
•
•
4.2.7 Understand the special
properties of 0 and 1 in
multiplication and division.
4.3.5 Continue number patterns
using multiplication and division.
4.3.6 Recognize and apply the
relationships between addition and
multiplication, between subtraction
and division, and the inverse
relationship between multiplication
and division to solve problems.
4.3.7 Relate problem situations to
number sentences involving
multiplication and division.
•
•
•
•
•
Hot Math topics
books
Groundworks:
Reasoning with
Numbers
Marcy Cook cardsMulti-jump,
Missing Multiple
(difficult), Arrays
Marcy Cook booksCriss-Cross
Multiplication;
Basic Games Book
B (Multiplication/
Division)
Rocket Math
Games presented by
Lori (Factor Game,
etc.)
Circles and Stars
(Marilyn Burns)
Make your own
multiplication charts
to find patterns
3
Connections to text
Assessments
Chapter 8- Practice
Multiplication and
Division Facts
8.1- Relate Multiplication
and Division
8.2- Multiply and Divide
Facts Through 5
8.3- Multiply and Divide
Facts through 10
8.4- Multiplication Table
through 12
8.5- Multiplication
Properties- Be sure to
teach this!
8.6- Problem SolvingChoose the Operation
Multiplication
and Division
End of Unit
Evaluation
**This is the introduction to multiplication and division facts. Facts will be a daily, year-long process until mastery.
Fourth Grade Math Curriculum Scope and Sequence
DRAFT- JULY 2009
Time
Frame
1-2
weeks
Unit
Algebra
Content
Addition and
Subtraction
Standards
4.3.1 Use letters, boxes, or other
symbols to represent any number in
simple expressions, equations, or
inequalities (i.e., demonstrate an
understanding of and the use of the
concept of a variable).
4.3.2 Use and interpret formulas to
answer questions about quantities and
their relationships.
4.3.4 Understand that an equation such
as y + 2x = 5 is a rule for finding a
second number when a first number is
given.
4.3.6 Recognize and apply the
relationships between addition and
multiplication, between subtraction
and division, and the inverse
relationship between multiplication
and division to solve problems.
Other
resources
available
Hands on
Equations
Connections to text
Chapter 4
4.1- Expressions
4.2- Addition Properties
4.3- Equations
4.4- Patterns: Find a Rule
4.5- Problem Solving: Act
It Out (If Time Allows)
4
Assessments
Fourth Grade Math Curriculum Scope and Sequence
DRAFT- JULY 2009
Time
Frame
2-3
weeks
Unit
Content
Multiplication
X by 1 digit, 10s
Standards
4.2.4 Demonstrate mastery of the
multiplication tables for numbers
between 1 and 10 and of the
corresponding division facts.
4.2.5 Use a standard algorithm to
multiply numbers up to 100 by
numbers up to 10, using relevant
properties of the number system.
4.2.7 Understand the special properties
of 0 and 1 in multiplication and
division.
Other
resources
available
Connections to text
Chapter 10- Multiply by 1
digit numbers
10.1- Mental Math:
Multiplication Patterns
10.2- Estimate Products
10.3- Multiply 2-digit
Numbers
10.4- Multiply 3-4 digit
Numbers
10.5- Multiply with Zeros
10.6- Problem Solving:
Write an Equation (Algebrarelated, can be connected to
Hands-On Equations)
Chapter 11- Multiply by
Tens
11.1- Mental Math:
Multiplication Patterns
11.2- The Distributive
Property (SKIP-covered in
Hands-On Equations)
11.3- Multiply by Tens
11.4- Estimate Products
11.5- Problem Solving:
Solve a Simpler Problem
5
Assessments
Fourth Grade Math Curriculum Scope and Sequence
DRAFT- JULY 2009
Time
Frame
2 weeks
Unit
Content
Measurement
Area and
Perimeter
Standards
4.5.3 Know and use formulas for
finding the perimeters of rectangles
and squares.
4.5.4 Know and use formulas for
finding the areas of rectangles and
squares.
4.5.5 Estimate and calculate the area of
rectangular shapes using appropriate
units, such as square centimeter (cm2),
square meter (m2), square inch (in2),
or square yard (yd2).
4.5.6 Understand that rectangles with
the same area can have different
perimeters and that rectangles with the
same perimeter can have different
areas.
4.5.7 Find areas of shapes by dividing
them into basic shapes such as
rectangles.
4.3.2 Use and interpret formulas to
answer questions about quantities and
their relationships.
Other
resources
available
Connections to text
28.1- Explore Perimeter
(Very Basic)
28.2- Estimate and Find
Perimeter
28.3-Circumference (SKIP)
28.4- Problem Solving: Use a
Standard
29.1- Estimate Area
29.2- Find Area
29.3- Relate Area and
Perimeter
29.4- Problem Solving: Find
a Pattern
6
Assessments
Fourth Grade Math Curriculum Scope and Sequence
DRAFT- JULY 2009
Time
Frame
2-3
weeks
Unit
Division
Content
Long division,
division with
remainders
Standards
4.2.3 Represent as division any
situation involving the sharing of
objects or the number of groups of
shared objects.
4.2.4 Demonstrate mastery of the
multiplication tables for numbers
between 1 and 10 and of the
corresponding division facts.
4.2.6 Use a standard algorithm to
divide numbers up to 100 by numbers
up to 10 without remainders, using
relevant properties of the number
system.
4.2.7 Understand the special properties
of 0 and 1 in multiplication and
division.
CHRISTMAS BREAK
Other
resources
available
Connections to text
Chapter 13- Understand
Division
13.1- Division with
Remainders
13.2- Model Division
13.3- Division Procedures
13.4- Problem Solving:
Predict and Test
13.5- Mental Math: Division
Patterns
Chapter 14- Divide by 1
Digit Divisors
14.1- Estimate Quotient
14.2- Place the First Digit
14.3- Divide 3 digit numbers
14.4- Zeros in Division
14.5- Choose a Method
(SKIP)
14.6- Problem Solving:
Interpret the Remainder
(Important!)
7
Assessments
Fourth Grade Math Curriculum Scope and Sequence
DRAFT- JULY 2009
Time
Frame
Unit
5 weeks
Number
Theory
Fractions
Decimals
Content
Number Theory
Fractions
Decimals
Standards
4.1.5 Rename and rewrite whole
numbers as fractions.
4.1.6 Name and write mixed numbers,
using objects or pictures.
4.1.7 Name and write mixed numbers
as improper fractions, using objects or
pictures.
4.1.8 Write tenths and hundredths in
decimal and fraction notations. Know
the fraction and decimal
equivalents for halves and fourths
4.1.9 Round two-place decimals to
tenths or to the nearest whole number.
4.2.8 Add and subtract simple fractions
with different denominators, using
objects or pictures.
4.2.9 Add and subtract decimals (to
hundredths), using objects or pictures.
4.2.10 Use a standard algorithm to add
and subtract decimals (to hundredths).
Other
resources
available
Fraction Islands
Connections to text
Chapter 16- Number
Theory
16.1- Divisibility Rules (2
days?)
16.2- Factors and Multiples
16.3- Prime and Composite
Numbers
16.4- Problem Solving- Find
a Pattern
Chapter 26- Understanding
Decimals
26.1- Relate Fractions and
Decimals
26.2- Decimals to the
thousandths
26.3- Equivalent Decimals
26.4- Relate Mixed Numbers
and Decimals
26.5- Compare and Order
decimals
26.6- Problem Solving: Use
Logical Reasoning
Chapter 27- Add and
Subtract Decimals
27.1-Round Decimals
27,2- Estimate Decimal
Sums and Differences
27.3- Add Decimals
27.4- Subtract Decimals
27.5- Add and Subtract
Decimals and Money
27.6- Problem Solving Skill:
Evaluate Reasonableness of
Answers
8
Assessments
Fourth Grade Math Curriculum Scope and Sequence
DRAFT- JULY 2009
Time
Frame
3 weeks
Unit
Geometry
Content
Standards
Line and Angle
Relationships,
Polygons
4.4.1 Identify, describe, and draw rays,
right angles, acute angles, obtuse
angles, and straight angles using
appropriate mathematical tools and
technology.
4.4.2 Identify, describe, and draw
parallel, perpendicular, and oblique
lines using appropriate mathematical
tools and technology.
4.4.3 Identify, describe, and draw
parallelograms*, rhombuses*, and
trapezoids*, using appropriate
mathematical tools and technology.
4.4.4 Identify congruent*
quadrilaterals* and give reasons for
congruence using sides, angles,
parallels, and perpendiculars.
4.4.5 Identify and draw lines of
symmetry in polygons.
4.4.6 Construct cubes and prisms* and
describe their attributes.
4.5.8 Use volume and capacity as
different ways of measuring the space
inside a shape.
MARCH ISTEP+
Other
resources
available
Connections to text
Chapter 17- Lines, Rays
and Angles
17.1- Lines and Rays
17.2- Measure and Classify
Angles
17.3- Line Relationships
17.4- Problem Solving
Strategy: Draw a Diagram
18.1- Polygons
18.2- Classify Triangles
(SKIP)
18.3- Classify Quadrilaterals
18.4- Problem Solving
Strategy: Draw a Diagram
18.5- Circles (SKIP)
19.1- Turns and Symmetry
(SKIP Turns- Just lines of
symmetry)
19.2- Congruent and Similar
Figures
19.3- Problem Solving: Make
a Model
19.4- Transformations
(SKIP)
19.5- Tessellations (SKIP)
19.6- Geometric Patterns
30.1- Faces, Edges, and
Vertices
30.2- Patterns for Solid
Figures
30.3- Estimate and Find the
Volume of Prisms
9
Assessments
Fourth Grade Math Curriculum Scope and Sequence
DRAFT- JULY 2009
10
The next 4 units are supposed to be taught by the April ISTEP+. However, it is understood that they likely will not all be taught in
time. Therefore, we have prioritized them based on what has been covered heavily on ISTEP+ in the past.
Time
Unit
Content
Standards
Other
Connections to text
Assessments
Frame
resources
available
4.6.1
Represent
data
on
a
number
line
Chapter 6
Data/
Creating and
and in tables, including frequency
6.1- Collect and Organize
Probability
Interpreting
tables.
Data
Graphs,
6.2- Find Mean, Median and
4.6.2 Interpret data graphs to answer
Mode (CAN SKIP)
Probability
questions about a situation.
4.6.3 Summarize and display the
results of probability experiments in a
clear and organized way.
6.3- Read Line Plots
6.4- Make Stem and Leaf
Plots (SKIP)
6.5- Compare Graphs
6.6- Problem Solving: Make
a Graph
Chapter 7
7.1- Make Bar and Double
Bar Graphs
7.2- Read Line Graphs
7.3- Make Line Graphs
7.4- Make Circle Graphs
7.5- Choose an Appropriate
Graphs
7.6- Problem Solving: Draw
Conclusions
Chapter 23
23.1- Record Outcomes
23.2- Predict Outcomes of
Experiments
Fourth Grade Math Curriculum Scope and Sequence
DRAFT- JULY 2009
Time
Frame
Unit
Content
Measurement •
•
Measuring
fractional
parts
Conversions
Standards
4.5.1 Measure length to the nearest
quarter-inch, eighth-inch, and
millimeter.
4.5.2 Subtract units of length that may
require renaming of feet to inches or
meters to centimeters.
Other
resources
available
Connections to text
24.1- Choose an Appropriate
Length
24.2- Measure Fractional
Parts
24.3- Algebra: Change
Linear Units
24.4, 24.5, 24.6- Can be
addressed in May
25.1- Metric Length
25.2- Algebra: Change
Linear Units
25.3, 25.4, 25.5, 25.6- Can be
addressed in May
11
Assessments
Fourth Grade Math Curriculum Scope and Sequence
DRAFT- JULY 2009
Time
Frame
Unit
Algebra
Content
Standards
4.3.1 Use letters, boxes, or other
symbols to represent any number in
simple expressions, equations, or
inequalities (i.e., demonstrate an
understanding of and the use of the
concept of a variable).
4.3.2 Use and interpret formulas to
answer questions about quantities and
their relationships.
4.3.3 Understand that multiplication
and division are performed before
addition and subtraction in expressions
without parentheses.
4.3.4 Understand that an equation such
as y _ 3x _ 5 is a rule for finding a
second number when a first number is
given.
Other
resources
available
Hands On
Equations
Connections to text
Chapter 9
9.1- Expressions
9.2- Order of Operations
9.3- Expressions and
Equations with Variables
9.4- Problem Solving: Work
Backward
9.5- Balance Equations
(SKIP- Covered in HandsOn)
9.6- Patterns: Find a Rule
12
Assessments
Fourth Grade Math Curriculum Scope and Sequence
DRAFT- JULY 2009
Time
Frame
Unit
Content
Measurement
Time/ Money
Standards
4.5.9 Add time intervals involving
hours and minutes.
Other
resources
available
Menu Math
Connections to text
13
Assessments
Chapter 5-Time
4.5.10 Determine the amount of
change from a purchase.
After April ISTEP+
Time
Unit
Frame
Multiplication
Content
2 digit by 2 digit
Standards
Other
resources
available
Connections to text
Assessments
Chapter 12- Multiply by 2
digit numbers
In addition, review any areas of difficulty or any other topics included in the scope and sequence that have yet to be addressed.