1. Second Grade Scope & Sequence Mathematic
I. Numbers
a. Numeration
i. One‐to‐one correspondence
ii. Relating sets of objects to numerals
iii. Using ordinal numbers for position
iv. Counting, reading, writing, renaming
1. Numbers to 10
2. Numbers to 100
3. Numbers to 1,000
4. Numbers to 10,000
5. Numbers to 1 million (through 999,999)
6. Numbers to 1 billion (through 999,999,999)
7. Greater numbers
v. Concrete/pictorial and number‐line models
vi. Comparing and ordering
vii. Forms of numbers (standard form, words, expanded form)
viii. Place value
ix. Place‐value, relationships and patterns
x. Skip counting
xi. Rounding
xii. Powers and exponents
xiii. Square numbers
xiv. Scientific notation
b. Number Theory
i. Even and odd numbers
ii. Prime and composite numbers
iii. Prime factorization
iv. Factor trees
v. Divisibility
vi. Factors and multiples
vii. Greatest common factor (GCF)
viii. Least common multiple (LCM)
c. Money
i. Counting and showing amounts
1. Penny, nickel, dime
2. Quarter, half‐dollar, dollar
3. Fives, tens, twenties
4. Combinations of coins and bills
ii. Comparing amounts
iii. Making change
iv. Rounding to nearest dollar

2. Second Grade Scope & Sequence Mathematic
d. Fractions Concepts
i. Concrete/pictorial models for part of a whole/part of a set
ii. Reading and writing fractions
iii. Rounding/estimating
iv. Equivalent fractions
v. Lowest terms/simplest form
vi. Mixed numbers, fractions greater than 1
vii. Fractions on a number line
viii. Comparing and ordering
ix. Common denominators
x. Reciprocals
xi. Related to decimals
xii. Related to percents
e. Decimal Concepts
i. Meaning
ii. Decimal notation for money
iii. Pictorial models
iv. Tenths and hundredths
v. Thousandths
vi. Equivalent decimals
vii. Fractions as decimals
viii. Related to measurement (metric system)
ix. Decimals on a number line
x. Decimals and calculators
xi. Comparing and ordering
xii. Rounding
xiii. Related to percent
xiv. Terminating and repeating decimals
xv. Scientific notation

3. Second Grade Scope & Sequence Mathematic
II. Operations
a. Estimation and Mental Math Strategies
i. Deciding when to estimate
ii. Underestimates and overestimates
iii. Using a range
iv. Adjusting an estimate
v. Rounding front‐end digits
vi. Rounding whole numbers and decimals
vii. Rounding fractions and mixed numbers
viii. Substituting compatible numbers
ix. Using a reference point or benchmark
x. Clustering
xi. Estimating quantities and measures
xii. Counting on or back
xiii. Breaking apart numbers
xiv. Compensation
xv. Using 10s or 100s to add or subtract
xvi. Using multiplication and division patterns
xvii. Using the distributive property
xviii. Determining reasonableness of results
b. Whole‐Number Addition
i. Meanings of addition
ii. Related to subtraction
iii. Basic fact and fact strategies
iv. Fact families
v. Properties
vi. Using concrete/pictorial models
vii. Adding 2‐digit numbers
viii. Adding numbers up to 3 digit
ix. Adding numbers with 4 digits or more
x. Adding money
xi. Three or more addends
xii. Choosing a computation method
xiii. Addition expressions/sentences/equations
xiv. Estimation and mental math
xv. Problem solving

4. Second Grade Scope & Sequence Mathematic
c. Whole‐Number Subtraction
i. Meanings of subtraction
ii. Related to addition
iii. Basic fact and fact strategies
iv. Using concrete/pictorial models
v. Subtracting 2‐digit numbers
vi. Subtracting 100s
vii. Subtracting 3 digit numbers
viii. Subtracting 4 digits numbers
ix. Subtracting money
x. Choosing a computation method
xi. Subtraction expressions/sentences/equations
xii. Inverse operations
xiii. Estimation and mental math
xiv. Problem solving
d. Whole‐Number Multiplication
i. Meanings of multiplication
ii. Related to addition
iii. Basic fact and fact strategies
iv. Fact Families
v. Multiplication Stories
vi. Properties
vii. Using concrete/pictorial models
viii. By 1‐ digit number
ix. Multiplying Money
x. Multiples of 10 & 100
xi. Partial products
xii. By a multi‐digit number
xiii. Missing factors
xiv. Exponents in multiplication
xv. Choosing a computation method
xvi. Multiplication expressions/sentences/equations
xvii. Inverse operations
xviii. Estimation and mental math
xix. Problem solving

5. Second Grade Scope & Sequence Mathematic
e. Whole‐Number Division
i. Meanings of division
ii. Related to subtraction and multiplication
iii. Basic facts: 2,3,4,5,6,7,8, and 9 divisors
iv. Fact Families
v. Division Stories
vi. 1 and 0 in division
vii. Using concrete/pictorial models
viii. 2 digit dividends
ix. By a 1‐digit divisor
x. Dividing Money
xi. By Multiples of 10 & 100
xii. By a 2‐digit divisor
xiii. By a multi‐digit divisor
xiv. Average (mean)
xv. Interpreting remainders
xvi. Exponents in multiplication
xvii. Choosing a computation method
xviii. Division expressions/sentences/equations
xix. Estimation and mental math
xx. Problem solving
III. Geometry
a. Plane Shapes and Solid Figures
i. Identifying polygons
ii. Sides and corners/vertices
iii. Identifying solid figures
iv. Faces, edges, vertices
v. Combing shapes
vi. Relating plane shapes and solid figures
vii. Drawing figures
viii. Geometric models for real‐world situations
b. Classifying Figures
i. Congruent figures
ii. Transformations (slides, flips, turns)
iii. Polygons
iv. Polyhedrons/ solid shapes

6. Second Grade Scope & Sequence Mathematic
IV. Measurement
a. Length, Weight/Mass, Capacity and Temperature
i. Comparing and ordering using direct comparison
ii. Nonstandard units
iii. Customary Units
1. Length
a. Inches, Feet
b. Fraction of an inch
c. Yards
2. Capacity
a. Cups
b. Pints, Quarts
3. Weight
a. Ounces
b. Pounds
c. Tons
4. Temperature
a. Degree Fahrenheit
iv. Metric Units
1. Length
a. Centimeters
b. Meters
2. Capacity
a. Liters
b. Kiloliters
3. Mass
a. Grams
b. Kilograms
4. Temperature
a. Degrees Celsius
v. Length, estimating using benchmarks
vi. Capacity, estimating using benchmarks
vii. Weight/mass, estimating using benchmarks
viii. Choosing appropriate measuring units
ix. Choosing appropriate measuring instruments
x. Ruler

7. Second Grade Scope & Sequence Mathematic
b. Time
i. Nearest hour/half hour
ii. Minutes before/after the hour
iii. Reading schedules
iv. Elapsed time
v. Estimating time
vi. Calendar
vii. Relationships between units of time
viii. AM & PM
c. Perimeter, Area and Volume
i. Perimeter, estimating counting units
ii. Area, estimating counting units
iii. Volume, estimating counting units
V. Data Analysis and Probability
a. Graphs
i. Pictograph/ real graphs
ii. Bar graphs
iii. Line plots
iv. Naming ordered pairs
b. Data Collection and Analysis
i. Reading charts/tables
ii. Collecting and organizing data
iii. Making charts/tables
iv. Tally charts
v. Taking a survey
vi. Interpreting data
vii. Making predictions, interpolations, extrapolations
viii. Using data in problem solving
c. Probability
i. Probability experiments
ii. Outcomes
iii. Certain/possible/impossible events
iv. Making predictions

8. Second Grade Scope & Sequence Mathematic
VI. Algebra
a. Patterns, Properties, and Expressions
i. Patterns with objects/ geometric figures
ii. Number patterns
iii. Making generalization and predictions
iv. Patterns using words, tables and graphs
v. Skip counting
vi. Sequences in tables, charts, and graphs
vii. Sequences used to make predictions
viii. Addition properties
1. Commutative and associate properties
2. Adding zero (identity property)
ix. Multiplication property: commutative property
x. Writing/evaluating numerical expressions
b. Relationships
i. Sorting and classifying
ii. Function tables (input/output tables)
iii. Modeling problem situations with objects
iv. Using symbols to show relationships
v. Relating addition and subtraction
c. Equations and Inequalities
i. Completing number sentences
ii. Finding missing addends, subtrahends, minuends
iii. Using inequality symbols to compare numbers

9. Second Grade Scope & Sequence Mathematic
VII. Mathematical Processes
a. Problem‐Solving Skills
i. Using a problem‐solving plan
ii. Using data from a picture, graph, table
iii. Choose an operation
iv. Multiple‐step problems
v. Extra/missing information
vi. Interpreting remainders
vii. Using a calculator or computer
b. Problem‐Solving Strategies
i. Act it out, use objects, do simulations
ii. Draw a picture
iii. Use logical reasoning
iv. Try, check and revise
v. Look for a pattern
vi. Make an organized list
vii. Write a number sentence/equation/proportion
c. Reasoning and Proof
i. Logical reasoning
1. Comparing/contrasting
2. Classifying/sorting/Venn diagrams
3. Finding/extending/using patterns
4. Making connections
5. Making generalizations
6. Drawing conclusions and evaluating arguments
7. Making/testing conjectures
ii. Visual and creating thinking
1. Visual patterns/spatial reasoning
2. Solving non‐routine problems
3. Generating problems
d. Connections
i. Curriculum connections to other subjects
ii. Connections among mathematical ideas
iii. Real‐world connections‐ students’ daily lives
iv. Real world connections‐ multicultural connections
v. Connections using technology

10. Second Grade Scope & Sequence Mathematic
e. Communications
i. Reading for math success/reading assists/math language
ii. Talk about it/share
iii. Working in groups
iv. Writing convincing arguments using mathematical ideas
f. Representation
i. Concrete/pictorial and number‐line models for whole numbers
ii. Whole‐number addition/subtraction using concrete/pictorial models
iii. Concrete/pictorial models for part of a whole/set
iv. Counting units to find length, area, volume
v. Geometric models for real‐world situations
vi. Making graphs/charts/tales/diagrams
vii. Solving problems by drawing a picture/diagram
viii. Number sentences and equations to model real situations