Mathematics and the World We Live In  Mathematics Resources

## Number and Operations

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

### Category

I/D

Count by 2’s, 5’s, and 10’s to 100.

D

Count how many objects are in a set by 1’s to 100.

I

Count how many objects are in a set by 2’s, 5’s, and 10’s up to 30.

D

Count forward or backward by one beginning with any number less than 100.

I

Identify the place value of a digit in numbers to 99.

D

Read and write numerals up to 100.

I

Count by 10’s from any number using a hundreds chart.

I/D

Use concrete objects to model whole numbers to 99 (e.g., base-ten blocks, sticks, and straws).

I

Identify odd and even whole numbers to 50.

I/D

Match halves and fourths to shaded regions of a single object or figure.

I

Show 1/2 and 1/4 of a set of objects.

I

Match the spoken, written, concrete, and pictorial representations of 1/2 and 1/4.

I/D

Recognize one whole as two halves or four fourths.

I/D

Count the value of a set of coins up to 50 cents.

D

Sequence and order whole numbers less than 100.

I

Represent numbers in flexible ways using a variety of materials (e.g., 23 as 23 ones, 1 ten and 13 ones, and/or 2 tens and 3 ones).

D

Identify and use ordinal numbers up to twelfth.

I

Compare whole numbers through 100 using the appropriate symbol (e.g., <, >, and =).

I

Use a number line or hundreds grid to find one more or one less than any number to 50.

D

Explain whether the solution to a word problem is reasonable.

D

Solve simple story problems involving addition and subtraction with numbers less than 20.

I

Develop story problems that illustrate basic addition and subtraction facts.

D

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

D

Use pictures or objects to show one more or one less than any number to 99.

I

Estimate the number of objects in a group and explain the reasoning for the estimate.

I

Explain and justify solutions and strategies in problem solving.

I

Add and subtract up to two-digit whole numbers using various strategies (e.g., counting up or back, taking away, doubles plus one, comparison, number relationships, and modeling).

I

Use calculators in problem-solving situations.

ALGEBRA

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

 D Sort objects by two of the following attributes: color, size, shape, and kind. I Describe how objects in a group are alike and how they are different. D Identify and describe growing patterns found in literature, in the environment, in physical arrangements, and in pictures. D Translate a repeating pattern from one format to another (e.g., red-blue-blue to snap-clap-clap). D Create, describe, and extend concrete, visual, auditory, or number patterns. I Identify the unit of a two-part repeating pattern. D Show or represent number sentences, involving addition and subtraction and numbers 0-20, with concrete objects. D Use mathematical terms and symbols appropriately. I Interpret and solve simple open addition sentences, including finding the missing addend. I Apply the commutative property of addition.

Geometry

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

 D Recognize names, basic properties of, and similarities and differences between simple geometric figures (e.g., number of sides, corners). D Predict and describe the results of combining and taking apart two- and three-dimensional geometric figures. D Recognize and show terms of relative position and direction in a variety of situations (e.g., over, under, forward, backward, between, right, and left). I Create a figure made up of shapes from memory. D Identify the position of a whole number on the number line.

Measurement

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

 D Compare and order objects according to length, capacity, and weight. D Recognize the need for standard units of measurement. D Demonstrate understanding of the concept of length. D Measure and estimate length using a variety of nonstandard units. I Use a ruler to measure a line segment to the nearest inch or centimeter. I Use scales to weigh an object to nearest pound or kilogram. D Recognize that a calendar is a way of measuring time. I Mark specified days and dates on a calendar and describe the relationship between days and months. D Determine time to the nearest hour and half-hour, using a standard clock. I Compare units of time. D Use a thermometer to measure temperature and determine the hotter/colder temperature by selecting the higher/lower column of two thermometers.

### Data Analysis and Probability

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

 D Interpret and make pictographs and bar graphs using concrete objects and pictured objects. D 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