Mathematics IN: Grade 1

School City of Hobart
School City of Hobart Mathematics

Mathematics - IN: Grade 1

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 1

The Indiana Academic Standards for Mathematics include standards for students in first 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.

Sets: Explain/Write
The learner will be able to explain a subset as "_ out of _ parts" and write the fraction when given a set of 8 or less objects.

Strand	Bloom's	Scope	Source
Sets		Master	IN: Academic Standards, 2000, Grade 1, 1.1.9

Number Sentence: Solve
The learner will be able to obtain solutions to number sentences from problem scenarios involving addition and subtraction.

Strand	Bloom's	Scope	Source
Number Sentence	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.3.1

Number Sentence: Write
The learner will be able to write number sentences from problem scenarios involving addition and subtraction.

Strand	Bloom's	Scope	Source
Number Sentence	Synthesis	Master	IN: Academic Standards, 2000, Grade 1, 1.3.1

Facts: Addition/Subtraction
The learner will be able to illustrate mastery of the addition facts (for totals up to 20) and the related subtraction facts.

Strand	Bloom's	Scope	Source
Fact Families	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.2.4

Inverse Operations: Comprehend
The learner will be able to comprehend the inverse relationship between addition and subtraction facts in order to obtain solutions to simple problems.

Strand	Bloom's	Scope	Source
Inverse Operations	Comprehension	Master	IN: Academic Standards, 2000, Grade 1, 1.2.7

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 1, 1.3.3

Inverse Operations: Apply
The learner will be able to apply the inverse relationship between addition and subtraction facts in order to obtain solutions to simple problems.

Strand	Bloom's	Scope	Source
Inverse Operations	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.2.7

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

Strand	Bloom's	Scope	Source
Computation	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.6.4

Symbols: Understand Meaning
The learner will be able to comprehend the meaning of the symbols +, -, and =.

Strand	Bloom's	Scope	Source
Symbols	Comprehension	Master	IN: Academic Standards, 2000, Grade 1, 1.2.5

Symbols: Apply/Problem Solve
The learner will be able to apply number sentences with the +, -, and = symbols to obtain solutions to problems.

Strand	Bloom's	Scope	Source
Symbols	Application	Master	IN: Academic Standards, 2000, Grade 1, Standard 3

Data Interpretation

The Data Interpretation Unit includes Competencies/Objectives which focus on the study and use of graphical forms. Students collect and classify data, organize and display data, use logical reasoning, and problem solving.

Pictographs: Compare
The learner will be able to compare information shown in a pictograph.

Strand	Bloom's	Scope	Source
Pictographs	Analysis	Master	IN: Academic Standards, 2000, Grade 1, 1.1.10

Pictographs: Interpret
The learner will be able to interpret information given in pictographs.

Strand	Bloom's	Scope	Source
Pictographs	Analysis	Master	IN: Academic Standards, 2000, Grade 1, 1.1.10

Pictographs: Create
The learner will be able to create pictographs to display data.

Strand	Bloom's	Scope	Source
Pictographs	Synthesis	Master	IN: Academic Standards, 2000, Grade 1, 1.1.10

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: Understand
The learner will be able to understand fractions.

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

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.

Figures: Classify/Sort
The learner will be able to classify and sort common two- and three-dimensional objects by position, shape, size, roundness, and other characteristics and describe the rule used.

Strand	Bloom's	Scope	Source
Figures: Classify		Master	IN: Academic Standards, 2000, Grade 1, 1.4.3

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 1, 1.4.7

Solids: Recognize/Faces
The learner will be able to recognize triangles, rectangles, squares, and circles as the faces of three-dimensional objects.

Strand	Bloom's	Scope	Source
Three-Dimensional Solids		Master	IN: Academic Standards, 2000, Grade 1, 1.4.2

Shapes: Explain/Write
The learner will be able to explain a shaded portion as "_ out of _ parts" and write the fraction when given a shape divided into 8 or less congruent parts.

Strand	Bloom's	Scope	Source
Two-Dimensional Shapes		Master	IN: Academic Standards, 2000, Grade 1, 1.1.8

Shapes: Recognize/Classify/Explain
The learner will be able to recognize common geometric shapes, classify them by common characteristics, and explain their relative position or their location in space.

Strand	Bloom's	Scope	Source
Two-Dimensional Shapes		Master	IN: Academic Standards, 2000, Grade 1, Standard 4

Figures: Describe/Identify/Compare
The learner will be able to recognize, make comparisons, and/or descriptions of circles, triangles, rectangles, and/or squares.

Strand	Bloom's	Scope	Source
Figures		Master	IN: Academic Standards, 2000, Grade 1, 1.4.1

Positions: Arrange/Explain Objects
The learner will be able to arrange and explain objects in space by position and direction using the following terms: near, far, under, over, up, down, behind, in front of, next to, to the left or right of.

Strand	Bloom's	Scope	Source
Positions		Master	IN: Academic Standards, 2000, Grade 1, 1.4.6

Figures: Identify
The learner will be able to recognize objects as being two- or three-dimensional.

Strand	Bloom's	Scope	Source
Figures: Identify	Knowledge	Master	IN: Academic Standards, 2000, Grade 1, 1.4.4

Shapes: Identify/Congruent Parts
The learner will be able to identify when a shape is divided into congruent parts.

Strand	Bloom's	Scope	Source
Two-Dimensional Shapes	Knowledge	Master	IN: Academic Standards, 2000, Grade 1, 1.1.7

Shapes: Draw/Square
The learner will be able to draw a square.

Strand	Bloom's	Scope	Source
Two-Dimensional Shapes	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.4.1

Shapes: Draw/Rectangle
The learner will be able to draw a rectangle.

Strand	Bloom's	Scope	Source
Two-Dimensional Shapes	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.4.1

Shapes: Sort/Rectangle
The learner will be able to sort rectangles.

Strand	Bloom's	Scope	Source
Two-Dimensional Shapes	Analysis	Master	IN: Academic Standards, 2000, Grade 1, 1.4.1

Shapes: Sort/Square
The learner will be able to sort squares.

Strand	Bloom's	Scope	Source
Two-Dimensional Shapes	Analysis	Master	IN: Academic Standards, 2000, Grade 1, 1.4.1

Triangles: Draw
The learner will be able to draw triangles.

Strand	Bloom's	Scope	Source
Triangles	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.4.1

Triangles: Sort
The learner will be able to sort triangles.

Strand	Bloom's	Scope	Source
Triangles	Analysis	Master	IN: Academic Standards, 2000, Grade 1, 1.4.1

Circle: Draw
The learner will be able to draw a circle.

Strand	Bloom's	Scope	Source
Circles	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.4.1

Circle: Sort
The learner will be able to sort circles.

Strand	Bloom's	Scope	Source
Circles	Analysis	Master	IN: Academic Standards, 2000, Grade 1, 1.4.1

Mathematics Processes

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

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 1, 1.6.5

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 1, 1.6.5

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 1, 1.6.2

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.

Length: Apply/Different Units
The learner will be able to apply various units to measure the length of the same object and make predictions as to whether the measure will be greater or smaller when a different unit is used.

Strand	Bloom's	Scope	Source
Length		Master	IN: Academic Standards, 2000, Grade 1, 1.5.2

Measurement: Compare/Order/Explain
The learner will be able to make comparisons, order, and explain measurements.

Strand	Bloom's	Scope	Source
Measurement: Analysis		Master	IN: Academic Standards, 2000, Grade 1, Standard 5

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

Strand	Bloom's	Scope	Source
Units	Knowledge	Master	IN: Academic Standards, 2000, Grade 1, 1.5.3

Length: Measure/Inch
The learner will be able to measure the length of an object to the nearest inch.

Strand	Bloom's	Scope	Source
Length	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.5.4

Length: Measure/Centimeter
The learner will be able to measure the length of an object to the nearest centimeter.

Strand	Bloom's	Scope	Source
Length	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.5.4

Length: Measure
The learner will be able to measure length.

Strand	Bloom's	Scope	Source
Length	Application	Master	IN: Academic Standards, 2000, Grade 1, Standard 5

Length: Measure/Iterating
The learner will be able to determine the length measure of an object through the repetition of either a nonstandard or standard unit.

Strand	Bloom's	Scope	Source
Length	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.5.1

Time: 1/2 Hour
The learner will be able to tell time to the nearest half hour.

Strand	Bloom's	Scope	Source
Time	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.5.6

Time: Relate/Events
The learner will be able to relate time to events.

Strand	Bloom's	Scope	Source
Time	Analysis	Master	IN: Academic Standards, 2000, Grade 1, 1.5.6

Money: Coin Value
The learner will be able to identify the value of dimes, nickels, and pennies.

Strand	Bloom's	Scope	Source
Money	Knowledge	Master	IN: Academic Standards, 2000, Grade 1, 1.5.7

Money: Value/State
The learner will be able to state the value of pennies, nickels, and dimes.

Strand	Bloom's	Scope	Source
Money	Knowledge	Master	IN: Academic Standards, 2000, Grade 1, 1.5.7

Length: Estimate/Centimeter
The learner will be able to estimate the length of an object to the nearest centimeter.

Strand	Bloom's	Scope	Source
Length Estimation	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.5.4

Length: Estimate/Inch
The learner will be able to estimate the length of an object to the nearest inch.

Strand	Bloom's	Scope	Source
Length Estimation	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.5.4

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.

Equivalent Forms: Model/Up to 20
The learner will be able to display equivalent forms of the same number (up to 20) using concrete models, diagrams, and/or numerical expressions.

Strand	Bloom's	Scope	Source
Equivalent Forms		Master	IN: Academic Standards, 2000, Grade 1, 1.2.3

Number Forms: Represent/Less Than 100
The learner will be able to comprehend symbols, objects, and pictures used to represent numbers less than 100.

Strand	Bloom's	Scope	Source
Number Forms: Representing		Master	IN: Academic Standards, 2000, Grade 1, Standard 1

Place Value: Recognize/Tens/Ones
The learner will be able to recognize the number of tens and ones in numbers up to 100.

Strand	Bloom's	Scope	Source
Place Value	Knowledge	Master	IN: Academic Standards, 2000, Grade 1, 1.1.3

Read Numerals: Less Than 100
The learner will be able to read whole numbers less than 100.

Strand	Bloom's	Scope	Source
Read Numbers	Knowledge	Master	IN: Academic Standards, 2000, Grade 1, 1.1.1

Write Numbers: To 100
The learner will be able to write whole numbers to 100.

Strand	Bloom's	Scope	Source
Write Numbers	Knowledge	Master	IN: Academic Standards, 2000, Grade 1, 1.1.1

Numeration

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

Counting: Group/Tens/Ones
The learner will be able to count and place objects into groups of ones and tens.

Strand	Bloom's	Scope	Source
Counting		Master	IN: Academic Standards, 2000, Grade 1, 1.1.2

Compare/Order: Area/Weight/Capacity
The learner will be able to make comparisons and place in order objects based upon their area, capacity, weight, and temperature, by applying direct comparison or a nonstandard unit.

Strand	Bloom's	Scope	Source
Comparing/Ordering		Master	IN: Academic Standards, 2000, Grade 1, 1.5.5

Pattern: Construct
The learner will be able to use addition to construct number patterns.

Strand	Bloom's	Scope	Source
Patterns: Number	Synthesis	Master	IN: Academic Standards, 2000, Grade 1, 1.3.4

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

Strand	Bloom's	Scope	Source
Patterns: Number	Synthesis	Master	IN: Academic Standards, 2000, Grade 1, 1.3.4

Greater Than/Less Than: One More/Less
The learner will be able to identify the number that is one more or one less than a given number up to 100.

Strand	Bloom's	Scope	Source
Comparison	Knowledge	Master	IN: Academic Standards, 2000, Grade 1, 1.1.4

Counting: Whole Numbers to 100
The learner will be able to count whole numbers to 100.

Strand	Bloom's	Scope	Source
Counting	Knowledge	Master	IN: Academic Standards, 2000, Grade 1, 1.1.1

Ordinal Number: Match Name
The learner will be able to match the corresponding number names (first, second, third, etc.) with an ordered set of less than 10 items.

Strand	Bloom's	Scope	Source
Ordinal Numbers	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.1.6

Perspective/Role in Society

The Perspective/Role in Society Unit includes Competencies/Objectives which focus on real world mathematics. Students study the mathematics of society and the role of mathematics in personal finance and careers.

Mathematical Situations: Directions
The learner will be able to give and follow directions for locating a place or object.

Strand	Bloom's	Scope	Source
Mathematical Situations		Master	IN: Academic Standards, 2000, Grade 1, 1.4.5

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 Analysis: Interpret/Pictures
The learner will be able to make interpretations of data using pictures.

Strand	Bloom's	Scope	Source
Data Analysis	Analysis	Master	IN: Academic Standards, 2000, Grade 1, 1.1.10

Data Analysis: Compare/Pictures
The learner will be able to make comparisons of data using pictures.

Strand	Bloom's	Scope	Source
Data Analysis	Analysis	Master	IN: Academic Standards, 2000, Grade 1, 1.1.10

Data Display: Use/Pictures
The learner will be able to use pictures to represent data.

Strand	Bloom's	Scope	Source
Data Display	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.1.10

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 1, 1.6.3

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 1, 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 1, 1.6.3

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 1, 1.6.4

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 1, 1.6.1

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 1, 1.6.1

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 1, 1.6.1

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 1, 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 1, Standard 6

Word Problem: Create
The learner will be able to compose word problems that correspond with given number sentences involving addition and subtraction.

Strand	Bloom's	Scope	Source
Word Problems	Synthesis	Master	IN: Academic Standards, 2000, Grade 1, 1.3.2

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.

Add/Subtract: Meaning
The learner will be able to illustrate the meaning of addition and subtraction and apply these operations to obtain solutions to problems.

Strand	Bloom's	Scope	Source
Add/Subtract Whole Numbers		Master	IN: Academic Standards, 2000, Grade 1, Standard 2

Addition: Role/Zero
The learner will be able to comprehend the role of zero in addition.

Strand	Bloom's	Scope	Source
Add Whole Numbers	Comprehension	Master	IN: Academic Standards, 2000, Grade 1, 1.2.6

Addition: Meaning/Objects
The learner will be able to illustrate the meaning of addition using concrete objects.

Strand	Bloom's	Scope	Source
Add Whole Numbers	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.2.1

Subtraction: Role/Zero
The learner will be able to comprehend the role of zero in subtraction.

Strand	Bloom's	Scope	Source
Subtract Whole Numbers	Comprehension	Master	IN: Academic Standards, 2000, Grade 1, 1.2.6

Subtraction: Meaning/Objects
The learner will be able to illustrate the meaning of subtraction using concrete objects.

Strand	Bloom's	Scope	Source
Subtract Whole Numbers	Application	Master	IN: Academic Standards, 2000, Grade 1, 1.2.2

Addition/Subtraction: Relationship
The learner will be able to identify the relationship between addition and subtraction.

Strand	Bloom's	Scope	Source
Add/Subtract Whole Numbers	Knowledge	Master	IN: Academic Standards, 2000, Grade 1, 1.3.3

Compare: Up to 10
The learner will be able to make comparisons of whole numbers up to 10.

Strand	Bloom's	Scope	Source
Compare/Order	Analysis	Master	IN: Academic Standards, 2000, Grade 1, 1.1.5

Order: Up to 10
The learner will be able to place whole numbers up to 10 in numerical order.

Strand	Bloom's	Scope	Source
Compare/Order	Analysis	Master	IN: Academic Standards, 2000, Grade 1, 1.1.5