Kindergarten Math (New York Next Generation)

Counting and Cardinality

• Know number names and the count sequence
• NY-K.CC.1 Count to 100 by ones and by tens.
• NY-K.CC.2 Count to 100 by ones starting from any given number.
• NY-K.CC.3 Write numbers 0 to 20 and represent a number of objects with a written numeral 0–20.
• Count to tell the number of objects
• NY-K.CC.4a Pair each counted object with one and only one number name, and each name with one object.
• NY-K.CC.4b Understand the last number said gives the total, regardless of arrangement or counting order.
• NY-K.CC.4c Understand each successive number name refers to a quantity one larger.
• NY-K.CC.4d Understand ordinal numbers, first through tenth, to describe relative position and magnitude.
• NY-K.CC.5a Answer "how many" for up to 20 objects in a line, array, or circle; up to 10 if scattered.
• NY-K.CC.5b Given a number from 1 to 20, count out that many objects.
• Compare numbers
• NY-K.CC.6 Tell whether one group has more, fewer, or the same number as another, with groups up to ten.
• NY-K.CC.7 Compare two numbers from 1 to 10 written as numerals.

Operations and Algebraic Thinking

• Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from
• NY-K.OA.1 Represent addition and subtraction using objects, fingers, drawings, sounds, actions, or equations.
• NY-K.OA.2a Add and subtract within 10.
• NY-K.OA.2b Solve addition and subtraction word problems within 10.
• NY-K.OA.3 Decompose numbers 10 or less into pairs in more than one way, recording each with a drawing or equation.
• NY-K.OA.4 Given a number from 1 to 9, find the number that makes 10, recording the answer.
• NY-K.OA.5 Fluently add and subtract within 5.
• Understand simple patterns
• NY-K.OA.6 Duplicate, extend, and create simple patterns using concrete objects.

Number and Operations in Base Ten

• Work with numbers 11–19 to gain foundations for place value
• NY-K.NBT.1 Compose and decompose numbers 11 to 19 into ten ones and some additional ones.

Measurement and Data

• Describe and compare measurable attributes
• NY-K.MD.1 Describe measurable attributes of objects, such as length or weight, using appropriate vocabulary.
• NY-K.MD.2 Directly compare two objects with a shared measurable attribute and describe the difference.
• Classify objects and count the number of objects in each category
• NY-K.MD.3 Classify objects into given categories, count each, and sort categories by count, with counts of 10 or fewer.
• NY-K.MD.4 Explore coins (pennies, nickels, dimes, quarters) and begin identifying pennies and dimes.

Geometry

• Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres)
• NY-K.G.1 Describe objects using shape names and relative positions such as above, below, beside, and behind.
• NY-K.G.2 Name shapes regardless of their orientation or overall size.
• NY-K.G.3 Understand the difference between two-dimensional (flat) and three-dimensional (solid) shapes.
• Analyze, compare, sort, and compose shapes
• NY-K.G.4 Analyze, compare, and sort 2D and 3D shapes in various sizes and orientations using informal language.
• NY-K.G.5 Model objects in the environment by building and/or drawing shapes.
• NY-K.G.6 Compose larger shapes from simple shapes, such as joining two triangles to make a rectangle.