Chinle USD
CURRICULUM GUIDE
SUBJECT: Math
Strand/Concept:
Strand 3: Patterns,
Algebra, and Functions
Concept 1: Patterns
GRADE: 4th
Performance Obj.-Mastery Level
Explanation
PO 1. Recognize, describe,
create, extend, and find missing
terms in a numerical sequence
involving whole numbers using
all four basic operations. M
Kid Friendly
Learning Objective
I will use all 4
operations to
recognize
missing numbers
in a sequence of
whole numbers.
TIMELINE: 2nd Quarter
Level of
Thinking
Knowledge
Synthesis
Evaluation
Resource Correlation
Academic
Vocabulary
Describe
Create
Recognize
Numerical
I will use all 4
operations to
describe missing
numbers in a
sequence of
whole numbers.
I will use all 4
operations to
create missing
numbers in a
sequence of
whole numbers.
1
Knowledge
Synthesis
Evaluation
Sequence
Pattern
Prediction
Knowledge
Synthesis
Evaluation
I will use all 4
operations to find
missing numbers
in a sequence of
whole numbers.
Knowledge
Synthesis
Evaluation
I will explain the
rule for a
sequence of
Knowledge
Synthesis
Basic operation
Numerical
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT: Math
Strand/Concept:
Strand 3: Patterns, Algebra,
and Functions
Concept 1: Patterns
Strand 3: Patterns,
Algebra, and Functions
Concept 3: Algebraic
Representations
.
GRADE: 4th
Performance Obj.-Mastery Level
Explanation
PO 2. Explain the rule for a
given numerical sequence,
verify that the rule works, and
use the rule to make
predictions. M
PO 1. Use a symbol to
represent an unknown quantity
in a simple algebraic expression
involving all operations. C
Kid Friendly
Learning Objective
whole numbers.
Level of
Thinking
Resource Correlation
Academic
Vocabulary
Evaluation
Sequence
I will test the rule
to make sure it
works.
Verify
Rule
I will use the rule
to make a
prediction.
Application
Evaluation
I will write a
simple addition
problem using a
symbol to stand
for an unknown
number.
Application
I will write a
simple
subtraction
problem using a
symbol to stand
for an unknown
number.
Application
Algebraic
Symbol
Represent
Quantity
I will write a
simple
multiplication
problem using a
symbol to stand
2
TIMELINE: 2nd Quarter
Simple
Algebraic
expression
Operations
Application
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT: Math
Strand/Concept:
GRADE: 4th
Performance Obj.-Mastery Level
Explanation
Kid Friendly
Learning Objective
TIMELINE: 2nd Quarter
Level of
Thinking
Resource Correlation
Academic
Vocabulary
for an unknown
number.
Strand 3: Patterns, Algebra, PO 2. Create and solve onestep equations that can be
and Functions
Concept 3: Algebraic
Representations
Strand 3: Patterns, Algebra,
3
solved using addition,
subtraction, multiplication, and
division of whole numbers. I
PO 1. Identify the change in a
I will write a
simple division
problem using a
symbol to stand
for an unknown
number.
I will create and
solve simple
addition
equations.
Application
Analysis
Synthesis
Equations
Illustrate
Reasoning
I will create and
solve simple
subtraction
equations.
Analysis
Synthesis
I will create and
solve simple
multiplication
equations.
Analysis
Synthesis
I will create and
solve simple
division
equations.
I will show the
changes in a
Analysis
Synthesis
Analysis
Knowledge
Problem solving
Prediction
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT: Math
Strand/Concept:
and Functions
GRADE: 4th
Performance Obj.-Mastery Level
Explanation
quantity over time and make
simple predictions. C
Concept 1: Algorithms and
Algorithmic Thinking
.
4
Level of
Thinking
number
(quantity.)
Resource Correlation
Academic
Vocabulary
Quantity
Foundation
Concept 4: Analysis of
Change
Strand 5: Structure and
Logic
Kid Friendly
Learning Objective
TIMELINE: 2nd Quarter
PO 1. Analyze common
algorithms for computing
(adding, subtracting, multiplying,
and dividing) with whole
numbers using the associative,
commutative, and distributive
properties. C
I will predict the
changes in a
number (quantity)
over a period of
time.
I will solve
addition problems
using the
commutative
property.
Analysis
Knowledge
Analysis
Synthesis
Associative
properties
Algorithms
I will solve
subtraction
problems using
the commutative
property.
Analysis
Synthesis
I will solve
multiplication
problems using
the commutative
property.
Analysis
Synthesis
I will solve
division problems
using the
commutative
Analysis
Synthesis
Commutative
properties
Distributive
properties
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT: Math
Strand/Concept:
GRADE: 4th
Performance Obj.-Mastery Level
Explanation
Kid Friendly
Learning Objective
TIMELINE: 2nd Quarter
Level of
Thinking
Resource Correlation
Academic
Vocabulary
property.
I will solve
addition problems
using the
associative
property.
Analysis
Synthesis
I will solve
subtraction
problems using
the associative
property.
I will solve
multiplication
problems using
the associative
property.
I will solve
division problems
using the
associative
property.
I will solve
addition problems
using the
distributive
5
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT: Math
Strand/Concept:
GRADE: 4th
Performance Obj.-Mastery Level
Explanation
Kid Friendly
Learning Objective
TIMELINE: 2nd Quarter
Level of
Thinking
Resource Correlation
Academic
Vocabulary
property.
I will solve
subtraction
problems using
the distributive
property.
I will solve
multiplication
problems using
the distributive
property.
Strand 5: Structure and Logic
Concept 2: Logic, Reasoning,
Problem Solving, and Proof
Strand 5: Structure and Logic
Concept 2: Logic, Reasoning,
Problem Solving, and Proof
6
PO 1. Analyze a problem
situation to determine the
question(s) to be answered. C
PO 2. Identify relevant, missing,
and extraneous information
related to the solution to a
problem. C
I will solve
division problems
using the
distributive
property.
I will read a word
problem to figure
out the question
that needs to be
answered.
I will figure out
which information
is important and
useful in a word
problem.
Analysis
Knowledge
Application
Knowledge
Analyze
Evaluate
Reasoning
Problem solving
Analyze
Relevant
Extraneous
Solution
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT: Math
Strand/Concept:
Strand 5: Structure and Logic
Concept 2: Logic, Reasoning,
Problem Solving, and Proof
Strand 5: Structure and Logic
Concept 2: Logic, Reasoning,
Problem Solving, and Proof
7
GRADE: 4th
Performance Obj.-Mastery Level
Explanation
PO 3. Select and use one or
more strategies to efficiently
solve the problem and justify the
selection. I
PO 4. Determine whether a
problem to be solved is similar
to previously solved problems,
and identify possible strategies
for solving the problem. I
Kid Friendly
Learning Objective
TIMELINE: 2nd Quarter
Level of
Thinking
I will figure out
which information
is missing from a
word problem.
Knowledge
Analyze
Evaluate
I will figure out
what information
is extra in a word
problem.
I will choose the
best strategy for
solving a problem
and explain why.
Knowledge
Analyze
evaluate
Evaluation
Resource Correlation
Academic
Vocabulary
Strategies
Efficiently
Justify
I will look at
problems that I
have already
solved and
decide if a new
problem is like
the old problem.
Knowledge
Application
Analyze
If two problems
are similar, I will
see if the strategy
that I used on the
old problem will
work on the new
problem.
Knowledge
Application
analyze
Similar
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT: Math
Strand/Concept:
Strand 5: Structure and Logic
Concept 2: Logic, Reasoning,
Problem Solving, and Proof
Concept 2: Logic, Reasoning,
Problem Solving, and Proof
Concept 2: Logic, Reasoning,
Problem Solving, and Proof
Concept 2: Logic, Reasoning,
Problem Solving, and Proof
8
GRADE: 4th
Performance Obj.-Mastery Level
Explanation
Kid Friendly
Learning Objective
TIMELINE: 2nd Quarter
Level of
Thinking
PO 5. Represent a problem
situation using any combination
of words, numbers, pictures,
physical objects, or symbols. C
I will decide how
to write problems
using words,
numbers or
drawings.
Synthesis
PO 6. Summarize mathematical
information, explain reasoning,
and draw conclusions. C
I will summarize
math information
by explaining and
drawing
conclusions.
I will carefully
check my answer
to a problem to
see if it makes
sense.
Analysis
I will collect
information and
then make a
guess about what
that information
tells me. I will
then test my
guess to see if it
is correct.
Application
Evaluation
PO 7. Analyze and evaluate
whether a solution is
reasonable, is mathematically
correct, and answers the
question. C
PO 8. Make and test
conjectures based on data (or
information) collected from
explorations and experiments. I
Resource Correlation
Academic
Vocabulary
Represent
Combination
Physical
Analysis
Evaluation
Object
Summarize
Reasoning
Draw
Conclusions
Evaluate
Reasonable
Conjectures
Revised 5/20/10