By the end of kindergarten, students understand small numbers, quantities, and simple shapes in their everyday environment. They count, compare, describe and sort objects, and develop a sense of properties and patterns.Standards for the following areas are set forth below:

Number Sense
Algebra & Functions
Measurement & Geometry
Statistics & Probability
Mathematical Reasoning

I=Introduce
D=Develop
M=Master

Content Standards

Assessment

Instructional Strategies

Instructional Resources

NUMBER SENSE

1.0

Students understand the relationship between numbers and quantities (i.e., that a set of objects has the same number of objects in different situations regardless of its position or arrangement):

I
D
M

1.1

Compare two or more sets of objects (up to ten objects in each group) and identify which set is equal to, more than, or less than the other.

I
D
M

1.2

Count, recognize, represent, name, and order a number of objects (up to 30).

I
D
M

1.3

Know that the larger numbers describe sets with more objects in them than the smaller numbers have.

2.0

Students understand and describe simple additions and subtractions:

I
D
M

2.1

Use concrete objects to determine the answers to addition and subtraction problems (for two numbers that are each less than 10).

D = Describe simple additions and subtractions

3.0

Students use estimation strategies in computation and problem solving that involve numbers that use the ones and tens places:

I
D

3.1

Recognize when an estimate is reasonable.

I=Introduce
D=Develop
M=Master

Content Standards

Assessment

Instructional Strategies

Instructional Resources

ALGEBRA and FUNCTIONS

1.0

Students sort and classify objects:

I
D
M

1.1

Identify, sort, and classify objects by attribute and identify objects that do not belong to a particular group (e.g., all these balls are green, those are red).

I=Introduce
D=Develop
M=Master

Content Standards

Assessment

Instructional Strategies

Instructional Resources

MEASUREMENT and GEOMETRY

1.0

Students understand the concept of time and units to measure it; they understand that objects have properties, such as length, weight, and capacity, and that comparisons may be made by referring to those properties:

I
D
M

1.1

Compare the length, weight, and capacity of objects by making direct comparisons with reference objects (e.g., note which object is shorter, longer, taller, lighter, heavier, or holds more).

I
D

1.2

Demonstrate an understanding of concepts of time (e.g., morning, afternoon, evening, today, yesterday, tomorrow, week, year) and tools that measure time (e.g., clock, calendar).

D = Clock
M = Time of day that something is done

I
D
M

1.3

Name the days of the week.

I
D
M

1.4

Identify the time (to the nearest hour) of everyday events (e.g., lunch time is 12 o’clock; bedtime is 8 o’clock at night).

2.0

Students identify common objects in their environment and describe the geometric features:

2.1

Identify and describe common geometric objects (e.g., circle, triangle, square, rectangle, cube, sphere, cone).

D = 3-dimensional
M = 2-dimensional

I
D

2.2

Compare familiar plane and solid objects by common attributes (e.g., position, shape, size, roundness, number of corners).

I=Introduce
D=Develop
M=Master

Content Standards

Assessment

Instructional Strategies

Instructional Resources

STATISTICS, DATA ANALYSIS and PROBABILITY

1.0

Students collect information about objects and events in their environment:

I
D

1.1

Pose information questions; collect data; and record the results using objects, pictures, and picture graphs.

I
D
M

1.2

Identify, describe, and extend simple patterns (such as circles or triangles) by referring to their shapes, sizes, or colors

I=Introduce
D=Develop
M=Master

Content Standards

Assessment

Instructional Strategies

Instructional Resources

MATHEMATICAL REASONING

1.0

Students make decisions about how to set up a problem:

1.1

Determine the approach, materials, and strategies to be used.

1.2

Use tools, such as manipulatives or sketches, to model problems.

2.0

Students solve problems and justify their reasoning:

2.1

Explain the reasoning used with concrete objects and/or pictorial representations.

2.2

Make precise calculations and check the validity of the results from the context of the problem.