Mathematics IN: Grade 2

School City of Hobart
School City of Hobart Mathematics

Mathematics - IN: Grade 2

Mathematics

The ISTEP+ assessment measures the academic performance of students in Mathematics.

The Indiana Academic Standards provide educators and administrators with a complete set of Indiana's K-12 academic standards for Mathematics. Schools should work to align curriculum instruction and classroom assessment with the new standards. While the standards set expectations for student learning they do not prescribe how the standards should be taught.

Teachers should use their skills, experience, talents, and resources to design classroom lessons to meet the individual needs of their students. With these new academic standards in place students in Indiana will be well equipped with the skills and knowledge to prepare them for the future.

IN: Grade 2

The Indiana Academic Standards for Mathematics include standards for students in second grade.

Algebraic Concepts

The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. Students explore the symbolic nature of algebraic concepts by identifying and extending patterns in algebra, by following algebraic procedures, and by proving theorems with properties.

Inverse Operations: Add/Subtract
The learner will be able to develop an understanding of the inverse relationship that exists between addition and subtraction.

Strand	Bloom's	Scope	Source
Inverse Operations	Comprehension	Master	IN: Academic Standards, 2000, Grade 2, 2.2.4

Inverse Operations: Apply/Add/Subtract
The learner will be able to apply the inverse relationship of addition and subtraction.

Strand	Bloom's	Scope	Source
Inverse Operations	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.2.4

Connections: Problems/Number Sentences
The learner will be able to make connections between problem scenarios and number sentences that use addition and subtraction.

Strand	Bloom's	Scope	Source
Connecting	Analysis	Master	IN: Academic Standards, 2000, Grade 2, 2.3.1

Computation: Precision
The learner will be able to perform precise computations.

Strand	Bloom's	Scope	Source
Computation	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.6.4

Fractions

The Fractions Unit includes Competencies/Objectives which focus on number sense and operations with fractions. Students compare and order fractions, study fraction parts, estimate with fractions, reason using fractions, and problem solve using fractions.

Fractions Parts: Name/Unit
The learner will be able to name unit fractions: 1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, and 1/12.

Strand	Bloom's	Scope	Source
Fraction Parts	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.1.9

Fractions Parts: Recognize/Unit
The learner will be able to recognize unit fractions: 1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, and 1/12.

Strand	Bloom's	Scope	Source
Fraction Parts	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.1.9

Fraction Parts: Identify/Whole/Set
The learner will be able to identify fractions as parts of a whole or parts of a set (up to 12 parts).

Strand	Bloom's	Scope	Source
Fraction Parts	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.1.8

Fraction Parts: Understand/Whole/One
The learner will be able to understand that the combination of all fractional parts results in the formation of a whole, or has a value of one.

Strand	Bloom's	Scope	Source
Fraction Parts	Comprehension	Master	IN: Academic Standards, 2000, Grade 2, 2.1.10

Compare Fractions: Unit
The learner will be able to make comparisons of unit fractions: 1/2, 1/3, 1/4, 1/5, 1/6, 1/8, 1/10, and 1/12.

Strand	Bloom's	Scope	Source
Compare Fractions	Analysis	Master	IN: Academic Standards, 2000, Grade 2, 2.1.9

Geometry

The Geometry Unit includes Competencies/Objectives which focus on exploring geometric concepts from multiple perspectives. Students study properties and construction of figures, proofs and theorems, history of geometry, transformations, logic, and problem solving.

Attributes: Explain/Classify/Sort
The learner will be able to explain, classify, and sort two- and three-dimensional geometric shapes based upon the number and shape of faces, and the number of edges and vertices.

Strand	Bloom's	Scope	Source
Figures: Attributes		Master	IN: Academic Standards, 2000, Grade 2, 2.4.2

Figures: Identify/Location
The learner will be able to identify geometric shapes and structures in the environment and name their location.

Strand	Bloom's	Scope	Source
Figures: Identify		Master	IN: Academic Standards, 2000, Grade 2, 2.4.5

Combine: Explore/Predict
The learner will be able to explore and predict combining and taking apart two- and three-dimensional figures.

Strand	Bloom's	Scope	Source
Combine/Partition/Transform		Master	IN: Academic Standards, 2000, Grade 2, 2.4.3

Figures: Construct/Squares
The learner will be able to construct squares using suitable materials.

Strand	Bloom's	Scope	Source
Figures: Construct	Synthesis	Master	IN: Academic Standards, 2000, Grade 2, 2.4.1

Figures: Construct/Rectangles
The learner will be able to construct rectangles using suitable materials.

Strand	Bloom's	Scope	Source
Figures: Construct	Synthesis	Master	IN: Academic Standards, 2000, Grade 2, 2.4.1

Figures: Construct/Cubes
The learner will be able to construct cubes using suitable materials.

Strand	Bloom's	Scope	Source
Figures: Construct	Synthesis	Master	IN: Academic Standards, 2000, Grade 2, 2.4.1

Figures: Construct/Rectangular Prism
The learner will be able to construct rectangular prisms using suitable materials.

Strand	Bloom's	Scope	Source
Figures: Construct	Synthesis	Master	IN: Academic Standards, 2000, Grade 2, 2.4.1

Three-Dimensional Solids: Identify
The learner will be able to recognize the characteristics of common objects in space.

Strand	Bloom's	Scope	Source
Three-Dimensional Solids	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, Standard 4

Three-Dimensional Solids: Explain
The learner will be able to explain the characteristics of common objects in space.

Strand	Bloom's	Scope	Source
Three-Dimensional Solids	Comprehension	Master	IN: Academic Standards, 2000, Grade 2, Standard 4

Two-Dimensional Shapes: Recognize
The learner will be able to recognize the characteristics of common two-dimensional shapes.

Strand	Bloom's	Scope	Source
Two-Dimensional Shapes	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, Standard 4

Shapes: Explain/Characteristics
The learner will be able to explain the characteristics of common two-dimensional shapes.

Strand	Bloom's	Scope	Source
Two-Dimensional Shapes	Comprehension	Master	IN: Academic Standards, 2000, Grade 2, Standard 4

Triangles: Construct/Materials
The learner will be able to construct triangles using suitable materials.

Strand	Bloom's	Scope	Source
Triangles	Synthesis	Master	IN: Academic Standards, 2000, Grade 2, 2.4.1

Congruency: Identify/Different Positions
The learner will be able to identify congruent plane figures which are shown in different positions.

Strand	Bloom's	Scope	Source
Congruence	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.4.4

Mathematics Processes

The Mathematics Processes Unit includes Competencies/Objectives which focus on mathematical connections. Students communicate and model concepts and procedures.

Relationship: Model/Illustrate/Interpret
The learner will be able to model, illustrate, and interpret number relationships in order to create and obtain solutions to problems involving addition and subtraction.

Strand	Bloom's	Scope	Source
Relationships		Master	IN: Academic Standards, 2000, Grade 2, Standard 3

Mathematical Connections: Comprehend
The learner will be able to comprehend the connections between two problems.

Strand	Bloom's	Scope	Source
Connections	Comprehension	Master	IN: Academic Standards, 2000, Grade 2, 2.6.5

Mathematical Connections: Apply
The learner will be able to apply the connections between two problems.

Strand	Bloom's	Scope	Source
Connections	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.6.5

Mathematical Modeling: Apply/Tools
The learner will be able to apply tools to model problems.

Strand	Bloom's	Scope	Source
Mathematical Modeling	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.6.2

Measurement

The Measurement Unit includes Competencies/Objectives which focus on measurement concepts, applications, and analysis. Students study length, area, circumference, perimeter, volume, weight, formulas, distance, calendar, money, tools, accuracy, units, constructions, patterns, and problem solving.

Units: Comprehend
The learner will be able to comprehend how to measure length, temperature, capacity, weight, and time in standard units.

Strand	Bloom's	Scope	Source
Units		Master	IN: Academic Standards, 2000, Grade 2, Standard 5

Length: Estimate/Measure
The learner will be able to approximate and measure length to the nearest inch, foot, yard, centimeter, and meter.

Strand	Bloom's	Scope	Source
Length Estimation		Master	IN: Academic Standards, 2000, Grade 2, 2.5.1

Units: Need/Standard/Weight
The learner will be able to identify the need for a standard unit of weight.

Strand	Bloom's	Scope	Source
Units	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.5.7

Units: Length
The learner will be able to determine appropriate units for length.

Strand	Bloom's	Scope	Source
Units	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.5.3

Time: 5 Minutes
The learner will be able to tell time in 5 minute intervals.

Strand	Bloom's	Scope	Source
Time	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.5.9

Time: Comprehend/Relationships
The learner will be able to comprehend time relationships: seconds in a minute, minutes in an hour, hours in a day, days in a week, and days, weeks, and months in a year.

Strand	Bloom's	Scope	Source
Time	Comprehension	Master	IN: Academic Standards, 2000, Grade 2, 2.5.10

Time: Quarter Hour
The learner will be able to tell time to the nearest quarter hour.

Strand	Bloom's	Scope	Source
Time	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.5.9

Time: Intervals/Hours
The learner will be able to find the elapsed time over a given interval in hours.

Strand	Bloom's	Scope	Source
Time	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.5.11

Time: AM/PM/Distinguish
The learner will be able to differentiate between a.m. and p.m.

Strand	Bloom's	Scope	Source
Time	Analysis	Master	IN: Academic Standards, 2000, Grade 2, 2.5.9

Money: Value/Coins
The learner will be able to determine the value of a group of pennies, nickels, dimes, quarters, half-dollars, and dollars.

Strand	Bloom's	Scope	Source
Money	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.5.12

Temperature: Celsius
The learner will be able to read a Celsius thermometer.

Strand	Bloom's	Scope	Source
Temperature	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.5.8

Temperature: Fahrenheit
The learner will be able to read a Fahrenheit thermometer.

Strand	Bloom's	Scope	Source
Temperature	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.5.8

Temperature: Estimate
The learner will be able to estimate temperature.

Strand	Bloom's	Scope	Source
Temperature	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.5.8

Area: Estimate
The learner will be able to estimate area.

Strand	Bloom's	Scope	Source
Area	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.5.4

Area: Objects
The learner will be able to use a given object to determine the area measure of other objects.

Strand	Bloom's	Scope	Source
Area	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.5.4

Weight: Estimate
The learner will be able to estimate weight.

Strand	Bloom's	Scope	Source
Weight	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.5.6

Weight: Objects
The learner will be able to use a given object to determine the weight of other objects.

Strand	Bloom's	Scope	Source
Weight	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.5.6

Capacity: Estimate/Cups/Pints
The learner will be able to approximate capacity using cups and pints.

Strand	Bloom's	Scope	Source
Capacity	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.5.5

Capacity: Cup
The learner will be able to measure capacity to the nearest cup.

Strand	Bloom's	Scope	Source
Capacity	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.5.5

Capacity: Measure/Pints
The learner will be able to measure capacity in pints.

Strand	Bloom's	Scope	Source
Capacity	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.5.5

Measurement: Relationship/Inch/Foot
The learner will be able to explain the relationship among inch, foot, and yard.

Strand	Bloom's	Scope	Source
Measurement: Relationships	Comprehension	Master	IN: Academic Standards, 2000, Grade 2, 2.5.2

Measurement: Explain/Relationship
The learner will be able to explain the relationship between centimeter and meter.

Strand	Bloom's	Scope	Source
Measurement: Relationships	Comprehension	Master	IN: Academic Standards, 2000, Grade 2, 2.5.2

Number Theory

The Number Theory Unit includes Competencies/Objectives which focus on manipulating number forms and classifications. Students make connections between number forms and their real world applications.

Place Value: Recognize/Up to 100
The learner will be able to recognize numbers up to 100 in different combinations of tens and ones.

Strand	Bloom's	Scope	Source
Place Value	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.1.3

Odd/Even: Identify/To 100
The learner will be able to identify odd and even numbers up to 100.

Strand	Bloom's	Scope	Source
Odd/Even	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.1.7

Numeration

The Numeration Unit includes Competencies/Objectives which focus on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships.

Mental Math: Commutative/Associative
The learner will be able to apply the commutative and associative rules for addition in order to simplify mental computations and to check solutions.

Strand	Bloom's	Scope	Source
Mental Math		Master	IN: Academic Standards, 2000, Grade 2, 2.3.2

Patterns: Identify/Continue/Linear
The learner will be able to identify and continue a linear pattern in accordance with its rule.

Strand	Bloom's	Scope	Source
Patterns: Identify/Describe/Continue		Master	IN: Academic Standards, 2000, Grade 2, 2.3.3

Estimate/Problems: Reasonableness
The learner will be able to estimate to decide whether the solution to an addition problem is reasonable.

Strand	Bloom's	Scope	Source
Estimate/Problems	Synthesis	Master	IN: Academic Standards, 2000, Grade 2, 2.2.5

Pattern: Identify/Group of Ten
The learner will be able to recognize number patterns in each group of ten, from tens through nineties.

Strand	Bloom's	Scope	Source
Patterns: Number	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.1.2

Patterns: Number/Explain/Add/Subtract
The learner will be able to explain a number pattern using addition and subtraction.

Strand	Bloom's	Scope	Source
Patterns: Number	Comprehension	Master	IN: Academic Standards, 2000, Grade 2, 2.3.4

Pattern: Create/Add/Subtract
The learner will be able to create a number pattern using addition and/or subtraction.

Strand	Bloom's	Scope	Source
Patterns: Number	Synthesis	Master	IN: Academic Standards, 2000, Grade 2, 2.3.4

Patterns: Number/Continue
The learner will be able to continue a number pattern using addition and/or subtraction.

Strand	Bloom's	Scope	Source
Patterns: Number	Synthesis	Master	IN: Academic Standards, 2000, Grade 2, 2.3.4

Comparison: Ten More/Less
The learner will be able to name a number that is ten more or ten less than a given number 10 through 90.

Strand	Bloom's	Scope	Source
Comparison	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.1.4

Counting: 1-100/Ones
The learner will be able to count by ones from 1 to 100.

Strand	Bloom's	Scope	Source
Counting	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.1.1

Ordinal Numbers: Match Name
The learner will be able to match the number names (first, second, third, etc.) with an ordered set of less than 100 items.

Strand	Bloom's	Scope	Source
Ordinal Numbers	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.1.6

Skip Counting: Twos to 100
The learner will be able to skip count by twos up to 100.

Strand	Bloom's	Scope	Source
Skip Counting	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.1.1

Skip Counting: Fives to 100
The learner will be able to count by fives up to 100.

Strand	Bloom's	Scope	Source
Skip Counting	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.1.1

Skip Counting: Tens to 100
The learner will be able to count by tens up to 100.

Strand	Bloom's	Scope	Source
Skip Counting	Knowledge	Master	IN: Academic Standards, 2000, Grade 2, 2.1.1

Mental Math: Add/Subtract
The learner will be able to use mental math to add or subtract 0, 1, 2, 3, 4, 5, or 10 using numbers up to 100.

Strand	Bloom's	Scope	Source
Mental Math	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.2.6

Probability/Statistics

The Probability/Statistics Unit includes Competencies/Objectives which focus on data analysis and probability concepts. Students collect, analyze, and make sense of real world data (including overlapping data, inconclusive data, etc.).

Data: Illustrate/Compare/Interpret
The learner will be able to illustrate, make comparisons, and interpret data by applying tables, tally charts, and bar graphs.

Strand	Bloom's	Scope	Source
Data		Master	IN: Academic Standards, 2000, Grade 2, 2.1.12

Data Collection: Systematically
The learner will be able to gather numerical data in a systematic fashion.

Strand	Bloom's	Scope	Source
Data Collection	Comprehension	Master	IN: Academic Standards, 2000, Grade 2, 2.1.11

Data Management: Systematically
The learner will be able to record numerical data in a systematic fashion.

Strand	Bloom's	Scope	Source
Data Management	Comprehension	Master	IN: Academic Standards, 2000, Grade 2, 2.1.11

Problem Solving

The Problem Solving Unit includes Competencies/Objectives which focus on analyzing problems, evaluating solutions, exploring problems, and developing strategies for solving problems.

Problem Solving: Reasoning
The learner will be able to describe and/or defend the reasoning used to solve a problem.

Strand	Bloom's	Scope	Source
Problem Solving		Master	IN: Academic Standards, 2000, Grade 2, 2.6.3

Problems: Set Up
The learner will be able to come to decisions concerning the set up of a problem.

Strand	Bloom's	Scope	Source
Problems		Master	IN: Academic Standards, 2000, Grade 2, Standard 6

Evaluating Solutions: Justify
The learner will be able to justify the processes chosen in determining the solution to a problem.

Strand	Bloom's	Scope	Source
Evaluating Solutions	Evaluation	Master	IN: Academic Standards, 2000, Grade 2, 2.6.3

Solutions: Validity in Context
The learner will be able to verify the validity of solutions based on the context of the problem.

Strand	Bloom's	Scope	Source
Solution	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.6.4

Strategies: Select
The learner will be able to select strategies for obtaining solutions to problems.

Strand	Bloom's	Scope	Source
Strategies	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.6.1

Strategies: Select/Approach
The learner will be able to select the approach for obtaining solutions to problems.

Strand	Bloom's	Scope	Source
Strategies	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.6.1

Strategies: Select/Materials
The learner will be able to select the materials to use for obtaining solutions to problems.

Strand	Bloom's	Scope	Source
Strategies	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.6.1

Strategies: Justify Reasoning
The learner will be able to justify the reasoning behind using a specific problem solving strategy.

Strand	Bloom's	Scope	Source
Strategies	Evaluation	Master	IN: Academic Standards, 2000, Grade 2, Standard 6

Problem Solving
The learner will be able to obtain solutions to problems.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Grade 2, Standard 6

Whole Numbers

The Whole Numbers Unit includes Competencies/Objectives which focus on whole number concepts. Students perform operations with whole numbers, use manipulatives to demonstrate whole number concepts, and solve problems with whole numbers in real world contexts.

Addition: Problem Solve/100
The learner will be able to obtain solutions to simple addition problems with numbers up to 100.

Strand	Bloom's	Scope	Source
Add Whole Numbers	Application	Master	IN: Academic Standards, 2000, Grade 2, Standard 2

Addition: Modeling/Objects/100
The learner will be able to use objects to model the addition of numbers up to 100.

Strand	Bloom's	Scope	Source
Add Whole Numbers	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.2.1

Addition: Modeling/Pictures/100
The learner will be able to use pictures to model the addition of numbers up to 100.

Strand	Bloom's	Scope	Source
Add Whole Numbers	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.2.1

Add Whole Numbers: Up to 100
The learner will be able to perform the addition of two whole numbers up to 100 with and without regrouping.

Strand	Bloom's	Scope	Source
Add Whole Numbers	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.2.2

Subtraction: Problem Solve/100
The learner will be able to obtain solutions to simple subtraction problems with numbers up to 100.

Strand	Bloom's	Scope	Source
Subtract Whole Numbers	Application	Master	IN: Academic Standards, 2000, Grade 2, Standard 2

Subtract Whole Numbers: Up to 100
The learner will be able to perform the subtraction of two whole numbers up to 100 without regrouping.

Strand	Bloom's	Scope	Source
Subtract Whole Numbers	Application	Master	IN: Academic Standards, 2000, Grade 2, 2.2.3

Compare/Order: Up To 100
The learner will be able to compare and order whole numbers up to 100.

Strand	Bloom's	Scope	Source
Compare/Order	Analysis	Master	IN: Academic Standards, 2000, Grade 2, 2.1.5

Number Sense: Relationships
The learner will be able to comprehend the relationship that is present among numbers, quantities, and place value in whole numbers of at most 100.

Strand	Bloom's	Scope	Source
Number Sense	Comprehension	Master	IN: Academic Standards, 2000, Grade 2, Standard 1