Mathematics and the World We Live In  Mathematics Resources

MATHEMATICS

Kindergarten

## Number and Operation

The student will identify, represent, order, and compare numbers and compute and solve problems.

### Category

I/D

Count how many objects are in a set (1-20).

I

Count to 50 by 1’s and 10’s.

I

Count backward from 10 to 1.

I

Match quantities up to 20 with numerals.

I/D

Identify equivalent sets of objects by one-to-one correspondence.

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I

Identify and write numerals 0-20.

I

Represent quantities up to 20 on ten - frames.

I

Determine if a figure has been divided into halves.

I/D

Identify and name coins (penny, nickel, dime, quarter, and half dollar) and their values.

I

Order numbers less than 20.

I

Express the relationship between two numbers less than 20 using the words less than, more than, or equal to.

I

Identify the position of a whole number less than 20 on a number line.

I

Use the language of ordinal numbers up to tenth.

I

Use concrete objects to develop strategies for addition and subtraction of whole numbers.

I

Solve simple word problems involving whole numbers 0-10.

I

Use words, actions, pictures, or concrete objects to solve problems.

I

Use pictures or objects to show one more or one less than any number to 20.

## Algebra

The student will sort and classify objects; create, extend, and describe patterns; and represent number sentences with words, objects, and pictures.

 I/D Sort objects by color, size, shape, and kind. I Use mathematical terms appropriately. I I Recognize and extend a concrete, visual, or auditory two- or three-part repeating pattern. I Create and describe a simple repeating pattern of numbers or figures. I Use concrete objects or pictures to demonstrate addition and subtraction number sentences involving numbers 0 to 5. I Read and explain simple addition and subtraction number sentences.

Geometry

The student will identify, describe, and create basic shapes and describe relative positions and directions.

 I Match terms with given shapes (circles, squares, triangles, and rectangles) when shown in various positions. I Recognize circles, squares, triangles, and rectangles in the environment and as faces of three-dimensional objects. I Recognize basic properties of and similarities and differences between simple geometric figures (e.g., number of sides, corners). I Reproduce and create circles, squares, rectangles, and triangles. I Reproduce and create structures using three-dimensional shapes. I Combine two-dimensional shapes to make pictures. I Recognize and show terms of relative position and direction in a variety of situations (e.g., over, under, forward, backward, between, right, and left).

Measurement

The student will apply measurement concepts of time, length, weight, capacity, and temperature.

 I Demonstrate understanding of the concept of length. I Recognize and show which is larger/smaller, longer/shorter, taller/shorter, heavier/lighter or which holds more/holds less, when given two similar objects. I/D Use words to describe time (e.g., day, night, morning, afternoon, yesterday, today, and tomorrow). I/D Use words to describe temperature (e.g., hot, warm, cool, and cold). I Measure and estimate length of an object using a variety of nonstandard units. I Distinguish between light and heavy objects. I Recognize clocks and watches as instruments for measuring time and tell time to the hour. I Recognize a thermometer as a device to measure temperature. I/D Recognize a calendar as a way of measuring time.

## Data Analysis and Probability

The student will make simple graphs using concrete objects and pictures and describe events as likely or unlikely.

 I Represent and compare data using concrete objects, pictures, and simple graphs. I Describe events related to students’ experiences as likely or unlikely.

Kindergarten

Elementary Resources

Worksheets

Algebra I

Secondary Resources

Worksheets

Science Fair

Dynamic Curriculum

Math/Science Integration

Math Online