Standards - Mathematics

Count forward orally from 0 to 100 by ones and by tens. Count backward orally from 10 to 0 by ones.

Count to 100 by ones beginning with any given number between 0 and 99.

Write numerals from 0 to 20.

Represent 0 to 20 using concrete objects when given a written numeral from 0 to 20 (with 0 representing a count of no objects).

Connect counting to cardinality using a variety of concrete objects.

Say the number names in consecutive order when counting objects.

Indicate that the last number name said tells the number of objects counted in a set.

Indicate that the number of objects in a set is the same regardless of their arrangement or the order in which they were counted.

Explain that each successive number name refers to a quantity that is one larger.

Count to answer “how many?” questions.

Count using no more than 20 concrete objects arranged in a line, a rectangular array, or a circle.

Count using no more than 10 concrete objects in a scattered configuration.

Draw the number of objects that matches a given numeral from 0 to 20.

Orally identify whether the number of objects in one group is greater/more than, less/fewer than, or equal/the same as the number of objects in another group, in groups containing up to 10 objects, by using matching, counting, or other strategies.

Compare two numbers between 0 and 10 presented as written numerals (without using inequality symbols).

Represent addition and subtraction up to 10 with concrete objects, fingers, pennies, mental images, drawings, claps or other sounds, acting out situations, verbal explanations, expressions, or equations.

Solve addition and subtraction word problems, and add and subtract within 10, by using concrete objects or drawings to represent the problem.

Decompose numbers less than or equal to 10 into pairs of smaller numbers in more than one way, by using concrete objects or drawings, and record each decomposition by a drawing or equation.

For any number from 0 to 10, find the number that makes 10 when added to the given number, by using concrete objects or drawings, and record the answer with a drawing or equation.

Fluently add and subtract within 5.

Duplicate and extend simple patterns using concrete objects.

Compose and decompose numbers from 11 to 19 by using concrete objects or drawings to demonstrate understanding that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.

Classify objects into given categories of 10 or fewer; count the number of objects in each category and sort the categories by count.

Categorize data on Venn diagrams, pictographs, and “yes-no” charts using real objects symbolic representations or pictorial representations.

Identify and describe measurable attributes (length, weight, height) of a single object using vocabulary such as long/short, heavy/light, or tall/short.

Directly compare two objects with a measurable attribute in common to see which object has more of“ or “less of” the attribute and describe the difference.“

Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to.

Correctly name shapes regardless of their orientations or overall sizes.

Identify shapes as two-dimensional (lying in a plane, flat“) or three-dimensional (“solid”).“

Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, parts (number of sides and vertices or corners“) and other attributes.“

Model shapes in the world by building them from sticks, clay balls, or other components and by drawing them.

Use simple shapes to compose larger shapes.

Use addition and subtraction to solve word problems within 20 by using concrete objects, drawings, and equations with a symbol for the unknown number to represent the problem.

Add to with change unknown to solve word problems within 20.

Take from with change unknown to solve word problems within 20.