Download Quarter

Chinle USD
CURRICULUM GUIDE
SUBJECT:
Math
GRADE:
TIMELINE: 2nd Quarter
5th
Strand/
Concept:
Performance Objectives.Mastery Level Explanation
Kid Friendly
Learning Objective
Level of
Thinking
Resource Correlation
Academic Vocabulary
Strand 1:
Number and
Operations
PO 1. Determine equivalence by
converting between benchmark
fractions, decimals, and percents. I
I will convert
between fractions,
decimals, and
percents.
Evaluation
Fractions and
Division
Macmillan/McGrawHill Math Connects
Volume One
Lesson 8.1
Pg. 333
Equivalent
Convert
Benchmark Fractions
Decimal
Fraction
Percent
Simplest Form
Concept 1:
Number
Sense
Improper Fractions
Macmillan/McGrawHill Math Connects
Volume One
Lesson 8.2
Pg. 338
Mixed Numbers
Macmillan/McGrawHill Math Connects
Volume One
Lesson 8.4
Pg. 346
Percents and
Fractions
Macmillan/McGrawHill Arizona Map for
Success for Math
Connects
Lesson AZ 2
Pg. AZ22
1
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Strand/
Concept:
Strand 1:
Number and
Operations
Concept 1:
Number
Sense
Math
Performance Objectives.Mastery Level Explanation
PO 3. Locate integers on a number
line. I
GRADE:
TIMELINE: 2nd Quarter
5th
Kid Friendly
Learning Objective
I will locate integers
on a number line.
Level of
Thinking
Comprehension
Resource Correlation
Percents and
Decimals
Macmillan/McGrawHill Arizona Map for
Success for Math
Connects
Lesson AZ 3
Pg. AZ 27
Order Whole
Numbers and
Decimals
Macmillan/McGrawHill Math Connects
Volume One
Lesson 1.7
Pg. 42
Academic Vocabulary
Locate
Integers
Number Line
Round Whole
Numbers and
Decimals
Macmillan/McGrawHill Math Connects
Volume One
Lesson 2.1
Pg. 61
Fractions on a
Number Line
Macmillan/McGrawHill Math Volume
One
2
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Strand/
Concept:
Math
Performance Objectives.Mastery Level Explanation
GRADE:
TIMELINE: 2nd Quarter
5th
Kid Friendly
Learning Objective
Level of
Thinking
Resource Correlation
Academic Vocabulary
Lesson 8.5
pg. 350
Strand 1:
Number and
Operations
Concept 1:
Number
Sense
PO 4. Compare and order positive
fractions, decimals, and percents. I
I will compare and
order fractions,
decimals, percents.
Comprehension
Order Whole
Numbers and
Decimals
Macmillan/McGrawHill Math Connects
Volume One
Lesson 1.7
Pg. 42
Fractions on a
Number Line
Macmillan/McGrawHill Math Volume
One
Lesson 8.5
pg. 350
Compare
Order
Positive numbers
Fractions
Decimals
Percents
Proper fractions
Improper fractions
Denominator
Numerator
Compare Fractions
Macmillan/McGrawHill Math Volume
Two
Lesson 9.9
pg. 404
Compare and Order
Fractions, Decimals,
and Percents
Macmillan/McGraw-
3
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Strand/
Concept:
Math
Performance Objectives.Mastery Level Explanation
GRADE:
TIMELINE: 2nd Quarter
5th
Kid Friendly
Learning Objective
Level of
Thinking
Resource Correlation
Academic Vocabulary
Hill Arizona Map for
Success for Math
Connects
Lesson AZ 4
Pg. AZ 32
Strand 1:
Number and
Operations
PO 5. Use ratios and unit rates to
model, describe and extend
problems in context. I
I will use ratios and
unit rates to model,
describe, and
extend problems.
Application
Concept 1:
Number
Sense
Strand 1:
Number and
Operations
Concept 1:
Number
Sense
Strand 1:
Number and
4
PO 6. Express or interpret positive
and negative numbers in context. I
Context may include number lines,
thermometers, elevation,
credit/debit, or games such as
football or golf.
I will express and
interpret positive
and negative
numbers in a
problem.
Evaluation
PO 5. Simplify numerical
expressions (including fractions and
I will solve
problems using the
Application
Ratios
Macmillan/McGrawHill Math Volume
Two
Looking Ahead 3
Pg. LA10
Rates
Macmillan/McGrawHill Math Volume
Two
Looking Ahead 4
Pg. LA14
Integers and
Graphing on Number
Lines
Macmillan/McGrawHill Math Volume
Two
Lesson 12.5
Pg. 533
Order of Operations
Macmillan/McGraw-
Ratios
Unit rates
Model
Comparison
Quantity
Measure
Regrouping
Strategies
Positive numbers
Negative numbers
Number lines
Thermometers
Elevation
Credit/debit
Simplify
Numerical
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Math
GRADE:
Strand/
Concept:
Performance Objectives.Mastery Level Explanation
Kid Friendly
Learning Objective
Operations
decimals) using the order of
operations with or without grouping
symbols. I
order of operations.
Concept 2:
Numerical
Operations
TIMELINE: 2nd Quarter
5th
Level of
Thinking
Resource Correlation
Academic Vocabulary
Hill Math Volume
One
Lesson 5.7
pg. 218
Expressions
Order of operations
Grouping symbols
Order of Operations
Macmillan/McGrawHill Math Volume
Two
Looking Ahead 5
Pg. LA18
1st & 2nd
Quarter
Operations with
Fractions and
Decimals
Macmillan/McGrawHill Arizona Map for
Success for Math
Connects
Lesson AZ 6
Pg. AZ38
Strand 1:
Number and
Operations
Concept 3:
Estimation
1st & 2nd
5
PO 1. Make estimates appropriate
to a given situation or computation
with whole numbers, fractions, and
decimals. I
I will estimate when
I need to.
Application
Estimate Sums and
Differences
Macmillan/McGrawHill Math Volume
One
Lesson 2.2
Pg. 64
Estimates
Computation
Whole numbers
Fractions
Decimals
Strategies
Measures
Estimate or Exact
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Strand/
Concept:
Quarter
Math
Performance Objectives.Mastery Level Explanation
GRADE:
TIMELINE: 2nd Quarter
5th
Kid Friendly
Learning Objective
Level of
Thinking
Resource Correlation
Academic Vocabulary
Answer
Macmillan/McGrawHill Math Volume
One
Lesson 2.5
Pg. 74
Estimate Products
Macmillan/McGrawHill Math Volume
One
Lesson 3.3
Pg. 112
Estimate Quotients
Macmillan/McGrawHill Math Volume
One
Lesson 4.2
Pg. 152
Estimation Strategies
Macmillan/McGrawHill Arizona Map for
Success for Math
Connects
Lesson 5
Pg. AZ35
Estimate Sums and
Differences
Macmillan/McGraw-
6
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Strand/
Concept:
Strand 2:
Data
Analysis,
Probability,
and Discrete
Mathematics
Math
Performance Objectives.Mastery Level Explanation
PO 1. Collect, record, organize, and
display data using multi-bar graph or
double line graphs. C
GRADE:
TIMELINE: 2nd Quarter
5th
Kid Friendly
Learning Objective
I will collect, record,
organize, and
display data using
multi-bar graphs or
double line graphs.
Level of
Thinking
Synthesis
7
Academic Vocabulary
Hill Math Volume
Two
Lesson 10.6
Pg. 444
Bar Graphs
Macmillan/McGrawHill Math Volume
One
Lesson 7.6
Pg. 299
Multi-Bar graph
Double Line graph
Line Graphs
Macmillan/McGrawHill Math Volume
One
Lesson 7.7
Pg. 306
Concept 1:
Data
Analysis
Strand 2:
Data
Analysis,
Probability,
and Discrete
Resource Correlation
PO 2. Formulate and answer
questions by interpreting and
analyzing displays of data, including
multi-bar graphs or double line
graphs. I
I will use graphs to
answer questions.
Synthesis
Use an Appropriate
Graph
Macmillan/McGrawHill Math Volume
One
Lesson 7.8
Pg. 312
Mean, Median, and
Mode
Macmillan/McGrawHill Math Volume
One
Lesson 7.1
Data collection
Formulate
Interpret
Analyze
Multi-bar graphs
Double line graph
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Strand/
Concept:
Math
Performance Objectives.Mastery Level Explanation
GRADE:
TIMELINE: 2nd Quarter
5th
Kid Friendly
Learning Objective
Level of
Thinking
Mathematics
Concept 1:
Data Analysis
(Statistics)
Resource Correlation
Academic Vocabulary
Pg. 279
Estimate
Computation
Data set
Line Plots
Macmillan/McGrawHill Math Volume
One
Lesson 7.3
Pg. 284
Frequency Tables
Macmillan/McGrawHill Math Volume
One
Lesson 7.4
Pg. 289
Strand 2:
Data
Analysis,
Probability,
and Discrete
Mathematics
Concept 4:
8
PO 1. Investigate properties of
vertex-edge graphs

Euler paths,

Euler circuits, and I

degree of a vertex. C
I will find Euler
paths and circuits
in vertex-edge
graphs.
I will find the
degree of vertices
in vertex-edge
graphs.
Application
Scales and Intervals
Macmillan/McGrawHill Math Volume
One
Lesson 7.5
Pg. 294
Euler Paths and
Circuits
Macmillan/McGrawHill Arizona Map for
Success for Math
Connects
Lesson 14
Pg. AZ71
Vertex-edge graphs
Euler path
Euler circuits
Vertices
Odd degree
Graph
Vertex
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Strand/
Concept:
Vertex-Edge
Graphs
Strand 2:
Data
Analysis,
Probability,
and Discrete
Mathematics
Concept 4:
Vertex-Edge
Graphs
Strand 3:
Patterns,
Algebra, and
Functions
Math
9
TIMELINE: 2nd Quarter
5th
Performance Objectives.Mastery Level Explanation
Kid Friendly
Learning Objective
Level of
Thinking
Resource Correlation
Academic Vocabulary
PO 2. Solve problems related to
Euler paths and circuits. C
I will find Euler
paths and circuits
in vertex-edge
graphs.
Synthesis
Euler Paths and
Circuits
Macmillan/McGrawHill Arizona Map for
Success for Math
Connects
Lesson 14
Pg. AZ71
Vertex-edge graphs
Euler path
Euler circuits
Vertices
Odd degree
Graph
Vertex
PO 1. Recognize, describe, create,
and analyze a numerical sequence
involving fractions and decimals
using addition and subtraction. C
I will recognize,
describe, create,
and analyze a
sequence of
fractions and
decimals using
addition and
subtraction.
Comprehension
/Analysis
Sequences
Macmillan/McGrawHill Arizona Map for
Success for Math
Connects
Lesson 7
Pg. AZ43
Sequence
PO 1. Describe patterns of change
including constant rate and
increasing or decreasing rate. I
I will describe
patterns of change.
Comprehension
Rate of Change
Macmillan/McGrawHill Arizona Map for
Success for Math
Connects
Lesson 8
Pg. AZ46
Algebraic
representations
Value
Quantity
Patterns
Constant rate
Increasing rate
Decreasing rate
Speed
Time
Concept 1:
Patterns
Strand 3:
Patterns,
Algebra, and
Functions
Concept 4:
Analysis of
Change
GRADE:
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Strand/
Concept:
Math
Performance Objectives.Mastery Level Explanation
GRADE:
TIMELINE: 2nd Quarter
5th
Kid Friendly
Learning Objective
Level of
Thinking
Resource Correlation
Academic Vocabulary
Graph
Strand 5:
Structure and
Logic
Concept 2:
Logic,
Reasoning,
Problem
Solving, and
Proof
PO 1: Analyze a problem situation
to determine the question(s) to be
answered. C
I will analyze a
problem to
determine what
question I need to
answer.
Analysis
PSI: Use the FourStep Plan
Macmillan/McGrawHill Math Volume
One
Lesson 1.3
Pg. 24
Analyze
PSS: Guess and
Check
Macmillan/McGrawHill Math Volume
One
Lesson 1.8
Pg. 48
PSS: Work
Backwards
Macmillan/McGrawHill Math Volume
One
Lesson 2.3
Pg. 68
PSI: Estimate or
Exact Answer
Macmillan/McGrawHill Math Volume
One
10
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Strand/
Concept:
Math
Performance Objectives.Mastery Level Explanation
GRADE:
TIMELINE: 2nd Quarter
5th
Kid Friendly
Learning Objective
Level of
Thinking
Resource Correlation
Academic Vocabulary
Lesson 2.5
Pg. 74
Strand 5:
Structure and
Logic
PO 2: Identify relevant, missing, and
extraneous information related to
the solution to a problem. C
I will find extra and
missing information
in word problems.
Knowledge
Explore Math Activity:
Interpret the
Remainder
Macmillan/McGrawHill Math Volume
One
Lesson 4.6
Pg. 168
Extra information
Missing information
PO 3. Select and use one or more
strategies to efficiently solve the
problem and justify the selection. C
I will select the right
strategy needed to
solve word
problems.
Application
PSS: Draw a Picture
Macmillan/McGrawHill Math Volume
One
Lesson 3.5
Pg. 120
Strategy
Concept 2:
Logic,
Reasoning,
Problem
Solving, and
Proof
Strand 5:
Structure and
Logic
Concept 2:
Logic,
Reasoning,
Problems
Solving, and
Proof
Strand 5:
Structure and
Logic
11
PO 4. Determine whether a problem
to be solved is similar to previously
solved problems, and identify
I will connect word
problems to
problems I have
Synthesis
PSS: Act It Out
Macmillan/McGrawHill Math Volume
One
Lesson 4.5
Pg. 166
PSS: Solve a Simpler
Problem
Explore Math Activity:
Strategy
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Strand/
Concept:
Concept 2:
Logic,
Reasoning,
Problems
Solving, and
Proof
Strand 5:
Structure and
Logic
Math
Concept 2:
Logic,
Reasoning,
12
TIMELINE: 2nd Quarter
5th
Performance Objectives.Mastery Level Explanation
Kid Friendly
Learning Objective
possible strategies for solving the
problem. C
completed before,
and use the same
strategy to solve
them.
PO 5. Represent a problem situation
using any combination of words,
numbers, pictures, physical objects,
or symbols. C
I will use pictures,
numbers, symbols
and or
manipulatives to
help me solve word
problems.
Concept 2:
Logic,
Reasoning,
Problems
Solving, and
Proof
Strand 5:
Structure and
Logic
GRADE:
Level of
Thinking
Resource Correlation
Academic Vocabulary
Interpret the
Remainder
Macmillan/McGrawHill Math Volume
One
Lesson 5.2
Pg. 196
Synthesis
PSS: Draw a Picture
Macmillan/McGrawHill Math Volume
One
Lesson 3.5
Pg. 120
Manipulative
Combination
Symbols
Math Activity: Use
Division Models
Macmillan/McGrawHill Math Volume
One
Lesson 4.3
Pg. 156
PO 6. Summarize mathematical
information, explain reasoning, and
draw conclusions. C
I will draw
conclusions and
explain how I
solved math
problems.
Analysis
Multiplication
Patterns
Macmillan/McGrawHill Math Volume
One
Lesson 3.1
Pg. 103
Draw conclusions
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Strand/
Concept:
Math
Performance Objectives.Mastery Level Explanation
GRADE:
TIMELINE: 2nd Quarter
5th
Kid Friendly
Learning Objective
Level of
Thinking
Problems
Solving, and
Proof
Strand 5:
Structure and
Logic
Concept 2:
Logic,
Reasoning,
Problems
Solving, and
Proof
Strand 5:
Structure and
Logic
Concept 2:
Logic,
Reasoning,
Problems
Solving, and
Proof
13
PO 7. Analyze and evaluate
whether a solution is reasonable, is
mathematically correct, and
answers the question. C
I will check my
answers to make
sure they make
sense.
Analysis
PO 8. Make and test conjectures
based on data or information
collected from explorations and
experiments. C
I will write rules to
explain what is
happening in math
problems, then try
the experiment,
and see if my rule
applies.
Comprehension
Resource Correlation
Academic Vocabulary
Division Patterns
Macmillan/McGrawHill Math Volume
One
Lesson 4.1
Pg. 149
Explore Math Activity:
Interpret the
Remainder
Macmillan/McGrawHill Math Volume
One
Lesson 4.6
Pg. 168
Bar Graphs
Macmillan/McGrawHill Math Volume
One
Lesson 7.6
Pg. 299
Rules
Conjectures
Explorations
Experiments
Line Graphs
Macmillan/McGrawHill Math Volume
One
Lesson 7.7
Pg. 306
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Math
GRADE:
TIMELINE: 2nd Quarter
5th
Strand/
Concept:
Performance Objectives.Mastery Level Explanation
Kid Friendly
Learning Objective
Level of
Thinking
Resource Correlation
Academic Vocabulary
Strand 5:
Structure and
Logic
PO 9. Identify simple valid
arguments using if…then
statements based on graphic
organizers. C
I will construct and
use if…then
statements to
generalize rules for
computation,
geometric
properties, and
algebraic functions
using graphic
organizers.
Comprehension
PSS: Use Logical
Reasoning
Macmillan/McGrawHill Math Volume
One
Lesson 8.3
Pg. 344
If...then statements
Graphic organizer
Computations
Properties
Functions
PO 10. Construct if…then
statements to generalize rules for
computation, geometric properties
and algebraic functions. C
I will construct and
use if…then
statements to
generalize rules for
computation,
geometric
properties, and
algebraic functions.
Comprehension
If … Then
Statements
Macmillan/McGrawHill Arizona Map for
Success for Math
Connects
Lesson 15
Pg. AZ74
If...then statements
Graphic organizer
Computations
Properties
Functions
PO 1: Analyze a problem situation
to determine the question(s) to be
answered. C
I will analyze a
problem to
determine what
question I need to
answer.
Analysis
PSI: Use the FourStep Plan
Macmillan/McGrawHill Math Volume
One
Lesson 1.3
Pg. 24
Analyze
Concept 2:
Logic,
Reasoning,
Problems
Solving, and
Proof
Strand 5:
Structure and
Logic
Concept 2:
Logic,
Reasoning,
Problems
Solving, and
Proof
Strand 5:
Structure and
Logic
Concept 2:
Logic,
Reasoning,
Problem
14
PSS: Guess and
Revised 5/20/10
Chinle USD
CURRICULUM GUIDE
SUBJECT:
Strand/
Concept:
Solving, and
Proof
Math
Performance Objectives.Mastery Level Explanation
GRADE:
TIMELINE: 2nd Quarter
5th
Kid Friendly
Learning Objective
Level of
Thinking
Resource Correlation
Academic Vocabulary
Check
Macmillan/McGrawHill Math Volume
One
Lesson 1.8
Pg. 48
PSS: Work
Backwards
Macmillan/McGrawHill Math Volume
One
Lesson 2.3
Pg. 68
PSI: Estimate or
Exact Answer
Macmillan/McGrawHill Math Volume
One
Lesson 2.5
Pg. 74
15
Revised 5/20/10