Curriculum: Math

Kindergarten Math

by Andrea Anderson & Randi Clause

March 22, 2005

Numeration / Number Sense

1.1.1 by the end of first grade, students will recognize, write, and orally express the sequential order of the number system.

1.1.1.K:

Name numerals 0 to100 - mixed order.

Write numerals 0 to100 - in order.

Count by 5�s and 10�s to 100.

Name numbers backwards from 10 - 0

Count by 2�s up to 20.

Count to 100 by 1�s.

1.1.2 by the end of first grade, students will demonstrate ways of representing numbers and compare relations among numbers.

1.1.2.K:

Associate numbers 1 - 30 with objects.

Compare bigger and smaller.

Compare least and most.

Compare all, some, and none.

Identify ordinal positions: first, second, third, fourth, fifth, and sixth.

Identify objects divided into fractions of one half.

1.1.3 by the end of first grade, students will identify numbers and applications in everyday situations.

1.1.3.K:

Identify and recall numbers used for identification, such as phone numbers, 911, and house and address numbers.

Recognize and name value of pennies, nickels, dimes, and quarters.

Apply counting to everyday situations (ie. passing out objects to classmates.

Identify and recall identification numbers for address.

1.1.4 by the end of first grade, students will demonstrate the value of numbers (0-20) using concrete objects.

1.1.4.K:

Demonstrate value of numbers (0 - 3 0), using concrete objects.

Computation / Estimation

1.2.1 by the end of first grade, students will demonstrate the concepts of addition and subtraction up to 10.

1.2.1.K:

*Identify operational symbols (+, -, =) and what they mean.

Add facts to 6 with and without manipulative.

Subtract to 6 with and without manipulative.

1.2.2 by the end of first grade, students will justify estimations to mathematical problems.

1.2.2.K:

Make estimates of quantative amounts.

Measurement

1.3.1 by the end of first grade, students will measure two or more items or sets using nonstandard units of measure and compare attributes.

1.3.1.K:

Identify the shorter or shortest object when two or more objects have a

common baseline using standard and non-standard units of measure.

1.3.2 by the end of first grade, students will identify tools of measurement and their appropriate use (clocks, calendar, ruler, balance scale, and thermometer).

1.3.2.K:

Recognize calendar and clock as a measurement tool.

Introduce ruler and balance scale as a measurement tool.

1.3.3 by the end of first grade, students will tell time to the half hour using an analog and digital clock.

1.3.3.K:

Tell time to the hour using an analog and digital clock.

Introduce telling time to the half hour using an analog and digital clock.

*Introduce telling time using 5 minute intervals.

1.3.4 by the end of first grade, students will identify the different units of measurement used in their environment (cents, dollars, pounds, gallons, liters, meters, minutes, and hours).

1.3.4.K:

Identify coin and value of a penny, nickel, and dime.

*Recognize units of measurement used in their environment (cents, dollars, minutes, and hours).

1.3.5 by the end of first grade, students will identify past, present, and future as orientations in time.

1.3.5.K:

Introduce past, present, and future.

Geometry / Spatial Concepts

1.4.1 by the end of first grade, students will compare relative position (left / right, above / below, over / under, up / down, and near / far).

1.4.1.K:

Introduce usage of relative position and spatial relationships (up / down,

over / under, left / right, above / below, near / far, inside / outside,

before / after).

1.4.2 by the end of first grade, students will identify, describe, and create circles, squares, triangles, and rectangles.

1.4.2.K:

Identify circle, square, triangle, and rectangle shapes in isolation.

*Identify circle, square, triangle, and rectangle shapes in our environment.

*Draw a circle, square, triangle, and rectangle shape in isolation.

Data Analysis, Probability, and Statistical Concepts

1.5.1 by the end of first grade, students will collect information about objects and events in their environment (favorite candy bar, number of siblings, and number of pets).

1.5.1.K: None

1.5.2 by the end of first grade, students will organize and display collected information using objects and pictures.

1.5.2.K:

Practice sorting and classifying objects and pictures.

1.5.3 by the end of first grade, students will compare and interpret information from displayed data (more, less, and fewer).

1.5.3.K:

Practice more, less, and fewer.

1.5.4 by the end of first grade, students will describe the process used in data collection and analysis.

1.5.4.K: None

Algebraic Concepts

1.6.1 by the end of first grade, students will identify, describe, extend, and create patterns (objects, sounds, movements, shapes, numbers, and colors).

1.6.1.K:

Duplicate a variety of patterns such as objects, sounds, movements, shapes, numbers, and colors.

Master Identification of a pattern.

Master describing a pattern.

Master extending a pattern.

Master creating a pattern. (Ex: ABAB, AAB, ABC, ABB, AABBCC)

1.6.2 by the end of first grade, students will sort and classify objects according to one or more attributes (size, shape, color, and thickness).

1.6.2.K:

Practice sorting objects according to one or more attributes such as size,

shape, color, and thickness.

1.6.3 by the end of first grade, students will identify and describe patterns in their environment.

1.6.3.K:

Identify patterns in their environment.