Massachusetts State Standards for Mathematics: Kindergarten

MA.K.N. Number Sense and Operations: Students engage in problem solving, communicating, reasoning, connecting, and representing.

K.N.1. Count by ones to at least 20.

K.N.2. Match quantities up to at least 10 with numerals and words.

K.N.3. Identify positions of objects in sequences (e.g., first, second) up to fifth.

K.N.4. Compare sets of up to at least 10 concrete objects using appropriate language (e.g., none, more than, fewer than, same number of, one more than) and order numbers.

K.N.5. Understand the concepts of whole and half.

K.N.6. Identify U.S. coins by name.

K.N.7. Use objects and drawings to model and solve related addition and subtraction problems to ten.

K.N.8. Estimate the number of objects in a group and verify results.

MA.K.P. Patterns, Relations, and Algebra: Students engage in problem solving, communicating, reasoning, connecting, and representing.

K.P.1. Identify the attributes of objects as a foundation for sorting and classifying, e.g., a red truck, a red block, and a red ball share the attribute of being red; a square block, a square cracker, and a square book share the attribute of being square shaped.

K.P.2. Sort and classify objects by color, shape, size, number, and other properties.

K.P.3. Identify, reproduce, describe, extend, and create color, rhythmic, shape, number, and letter repeating patterns with simple attributes, e.g., ABABAB.

K.P.4. Count by fives and tens at least up to 50.

MA.K.G. Geometry: Students engage in problem solving, communicating, reasoning, connecting, and representing.

K.G.1. Name, describe, sort, and draw simple two-dimensional shapes.

K.G.2. Describe attributes of two-dimensional shapes, e.g., number of sides, number of corners.

K.G.3. Name and compare three-dimensional shapes.

K.G.4. Identify positions of objects in space, and use appropriate language (e.g., beside, inside, next to, close to, above, below, apart) to describe and compare their relative positions.

MA.K.M. Measurement: Students engage in problem solving, communicating, reasoning, connecting, and representing.

K.M.1. Recognize and compare the attributes of length, volume/capacity, weight, area, and time using appropriate language, e.g., longer, taller, shorter, same length; heavier, lighter, same weight; holds more, holds less, holds the same amount.

K.M.2. Make and use estimates of measurements from everyday experiences.

K.M.3. Use nonstandard units to measure length, area, weight, and capacity.

MA.K.D. Data Analysis, Statistics, and Probability: Students engage in problem solving, communicating, reasoning, connecting, and representing.

K.D.1. Collect, sort, organize, and draw conclusions about data using concrete objects, pictures, numbers, and graphs. Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.

MA.CC.K.CC. Counting and Cardinality

K.CC.1. Count to 100 by ones and by tens.

K.CC.2. Count forward beginning from a given number within the known sequence (instead of having to begin at 1).

K.CC.3. Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects).

K.CC.4. Understand the relationship between numbers and quantities; connect counting to cardinality.

K.CC.4.a. When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object.

K.CC.4.b. Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted.

K.CC.4.c. Understand that each successive number name refers to a quantity that is one larger.

K.CC.5. Count to answer ''how many?'' questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1-20, count out that many objects.

K.CC.6. Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies.

K.CC.7. Compare two numbers between 1 and 10 presented as written numerals.

MA.CC.K.OA. Operations and Algebraic Thinking

K.OA.1. Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.

K.OA.2. Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.

K.OA.3. Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).

K.OA.4. For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation.

K.OA.5. Fluently add and subtract within 5.

MA.CC.K.NBT. Number and Operations in Base Ten

K.NBT.1. Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.

MA.CC.K.MD. Measurement and Data

K.MD.1. Describe measurable attributes of objects, such as length or weight. Describe several measurable attributes of a single object.

K.MD.2. Directly compare two objects with a measurable attribute in common, to see which object has ''more of''/''less of'' the attribute, and describe the difference. For example, directly compare the heights of two children and describe one child as taller/shorter.

K.MD.3. Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.

MA.CC.K.G. Geometry

K.G.5. Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.

K.G.6. Compose simple shapes to form larger shapes. For example, ''Can you join these two triangles with full sides touching to make a rectangle?''