Mathematics IN: Kindergarten

School City of Hobart
School City of Hobart Mathematics

Mathematics - IN: Kindergarten

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: Kindergarten

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

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.

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

Strand	Bloom's	Scope	Source
Computation	Application	Master	IN: Academic Standards, 2000, Kindergarten, K.6.4

Sets: Larger/Smaller
The learner will be able to understand that larger numbers represent sets with more elements in them than smaller numbers.

Strand	Bloom's	Scope	Source
Sets	Comprehension	Master	IN: Academic Standards, 2000, Kindergarten, K.1.3

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.

Fraction Parts: Divide/Equal Parts
The learner will be able to divide a given shape into equal parts.

Strand	Bloom's	Scope	Source
Fraction Parts	Application	Master	IN: Academic Standards, 2000, Kindergarten, K.1.5

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: Recognize/Objects
The learner will be able to recognize common objects present in their environment and explain their geometric features and position.

Strand	Bloom's	Scope	Source
Figures: Real World		Master	IN: Academic Standards, 2000, Kindergarten, Standard 4

Figures: Recognize/Explain
The learner will be able to recognize and explain the following common geometric objects: circle, square, triangle, rectangle, and cube.

Strand	Bloom's	Scope	Source
Figures: Identify		Master	IN: Academic Standards, 2000, Kindergarten, K.4.1

Figures: Sort/Compare
The learner will be able to make comparisons and sort common objects based upon position, shape, size, roundness, and number of corners.

Strand	Bloom's	Scope	Source
Figures: Sort		Master	IN: Academic Standards, 2000, Kindergarten, K.4.2

Position: Terms
The learner will be able to recognize and apply the following terms: inside, outside, between, above, and below.

Strand	Bloom's	Scope	Source
Positions		Master	IN: Academic Standards, 2000, Kindergarten, K.4.3

Mathematics Processes

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

Sorting: Classify/Objects
The learner will be able to recognize, sort, and classify objects according to size, number and other characteristics.

Strand	Bloom's	Scope	Source
Sorting		Master	IN: Academic Standards, 2000, Kindergarten, K.3.1

Reasoning: Explain
The learner will be able to describe the reasoning that was applied through the use of physical objects and/or illustrations.

Strand	Bloom's	Scope	Source
Reasoning	Comprehension	Master	IN: Academic Standards, 2000, Kindergarten, K.6.3

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, Kindergarten, K.6.2

Sorting: Classify/Objects
The learner will be able to classify objects.

Strand	Bloom's	Scope	Source
Sorting	Analysis	Master	IN: Academic Standards, 2000, Kindergarten, Standard 3

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.

Time: Comprehend
The learner will be able to comprehend the following concepts of time: morning, afternoon, evening, today, yesterday, tomorrow, week, month, and year.

Strand	Bloom's	Scope	Source
Time		Master	IN: Academic Standards, 2000, Kindergarten, K.5.2

Measurement: Comprehend/Compare
The learner will be able to comprehend that objects have length, weight, capacity, and temperature and that they can make comparisons of objects using these characteristics.

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

Direct Comparison
The learner will be able to make direct comparisons of the length, capacity, weight, and temperature of objects and identify the shorter, longer, taller, lighter, heavier, warmer and cooler object or which holds more.

Strand	Bloom's	Scope	Source
Direct/Indirect Measure		Master	IN: Academic Standards, 2000, Kindergarten, K.5.1

Time: Comprehend/Units
The learner will be able to comprehend the units to measure time.

Strand	Bloom's	Scope	Source
Time	Comprehension	Master	IN: Academic Standards, 2000, Kindergarten, Standard 5

Time: Comprehend/Clock
The learner will be able to comprehend that clocks are tools used to measure time.

Strand	Bloom's	Scope	Source
Time	Comprehension	Master	IN: Academic Standards, 2000, Kindergarten, K.5.2

Time: Comprehend/Calendar
The learner will be able to comprehend that calendars are tools used to measure time.

Strand	Bloom's	Scope	Source
Time	Comprehension	Master	IN: Academic Standards, 2000, Kindergarten, K.5.2

Time: Comprehend/Concept
The learner will be able to comprehend the concept of time.

Strand	Bloom's	Scope	Source
Time	Comprehension	Master	IN: Academic Standards, 2000, Kindergarten, Standard 5

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.

Number Sense: Count/Identify/Represent
The learner will be able to count, identify, represent, name and place in order a number of ten or fewer objects.

Strand	Bloom's	Scope	Source
Number Sense		Master	IN: Academic Standards, 2000, Kindergarten, K.1.6

One-to-One Correspondence: Match
The learner will be able to match groups of items one-to-one.

Strand	Bloom's	Scope	Source
One-to-one Correspondence	Analysis	Master	IN: Academic Standards, 2000, Kindergarten, K.1.1

Number Size: Comprehend
The learner will be able to comprehend that a group of objects has the same number of objects in all situations regardless of the arrangement or the position of the objects.

Strand	Bloom's	Scope	Source
Number Size	Comprehension	Master	IN: Academic Standards, 2000, Kindergarten, Standard 1

Equality: Divide/Sets of 10
The learner will be able to divide groups of ten or less objects into equivalent groups.

Strand	Bloom's	Scope	Source
Equivalence	Application	Master	IN: Academic Standards, 2000, Kindergarten, K.1.4

Number Forms: Comprehend/Relationships
The learner will be able to comprehend the relationship between numbers and quantities up to 10.

Strand	Bloom's	Scope	Source
Number Forms: Relationships	Comprehension	Master	IN: Academic Standards, 2000, Kindergarten, Standard 1

Numeration

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

Comparison: Up to 10 Items
The learner will be able to make comparisons of up to ten items and recognize whether one group is equal to, more than, or less than another.

Strand	Bloom's	Scope	Source
Comparison		Master	IN: Academic Standards, 2000, Kindergarten, K.1.2

Pattern: Recognize/Copy/Create
The learner will be able to recognize, copy, and create simple number and shape patterns.

Strand	Bloom's	Scope	Source
Patterns		Master	IN: Academic Standards, 2000, Kindergarten, K.3.2

Comparison: One More/Less
The learner will be able to identify the number that is one more than or one less than any whole number less than 10.

Strand	Bloom's	Scope	Source
Comparison	Knowledge	Master	IN: Academic Standards, 2000, Kindergarten, K.1.7

Comparison: Use/Words
The learner will be able to accurately use the following words: one/many, none/some/all, more/less, and most/least.

Strand	Bloom's	Scope	Source
Comparison	Application	Master	IN: Academic Standards, 2000, Kindergarten, K.1.8

Patterns: Recognize/Groups
The learner will be able to recognize items that do not belong to a certain group.

Strand	Bloom's	Scope	Source
Patterns	Knowledge	Master	IN: Academic Standards, 2000, Kindergarten, K.3.1

Ordering/Sorting
The learner will be able to sort objects.

Strand	Bloom's	Scope	Source
Comparing/Ordering	Application	Master	IN: Academic Standards, 2000, Kindergarten, Standard 3

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 Display: Record/Organize
The learner will be able to use objects and pictures to record and organize information.

Strand	Bloom's	Scope	Source
Data Display		Master	IN: Academic Standards, 2000, Kindergarten, K.1.9

Problem Solving

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

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, Kindergarten, Standard 6

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, Kindergarten, K.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, Kindergarten, K.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, Kindergarten, K.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, Kindergarten, K.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, Kindergarten, Standard 6

Problem Solving: Reasonable Ways
The learner will be able to obtain solutions to problems in reasonable ways.

Strand	Bloom's	Scope	Source
Problem Solving	Application	Master	IN: Academic Standards, 2000, Kindergarten, 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.

Add: Explain/Simple
The learner will be able to explain simple additions.

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

Add: Comprehend/Simple
The learner will be able to comprehend simple additions.

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

Addition: Explain/Scenarios
The learner will be able to explain scenarios that require addition (with numbers less than 10).

Strand	Bloom's	Scope	Source
Add Whole Numbers	Comprehension	Master	IN: Academic Standards, 2000, Kindergarten, K.2.3

Addition: Modeling
The learner will be able to model addition by joining groups of objects with a total of not more than 10 objects.

Strand	Bloom's	Scope	Source
Add Whole Numbers	Application	Master	IN: Academic Standards, 2000, Kindergarten, K.2.1

Subtract: Explain/Simple
The learner will be able to explain simple subtractions.

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

Subtract: Comprehend/Simple
The learner will be able to comprehend simple subtractions.

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

Subtraction: Explain/Scenarios
The learner will be able to explain scenarios that require subtraction (with numbers less than 10).

Strand	Bloom's	Scope	Source
Subtract Whole Numbers	Comprehension	Master	IN: Academic Standards, 2000, Kindergarten, K.2.3

Subtraction: Modeling
The learner will be able to model subtraction by taking away objects from sets of numbers with a total of fewer than 10.

Strand	Bloom's	Scope	Source
Subtract Whole Numbers	Application	Master	IN: Academic Standards, 2000, Kindergarten, K.2.2