Math Scope and Sequence

Key Topics in Kindergarten Math:

 Counting and Cardinality Operations and Algebraic Thinking Know number names and the count sequence (instead of having to begin at 1).Writes numbers 0 to 20.  Represent a number of objects with a written numeral 0 to 20.Compare two numbers between 1 and 10 presented as written numerals.Understand the relationship between numbers and quantities.Count to tell the number of objects.Compare numbers.Count to answer “how many” questions.Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group.Count by ones to 100.Count to 100 by tens.Counts forwards and backwards to 20 with and without objects. Describe, model, and extend AB and ABC patternsUnderstands addition as putting together and adding to, and understands subtraction as taking apart and taking formRepresent addition and subtraction in various ways.Model addition (joining) and subtraction (separating) Solve addition and subtraction word problems and add/subtract within 10.Decompose numbers less than or equal to 10 into pairs in more than one way.For any number 1-9, find the number that makes 10 when added to the given number.Fluently add and subtract within 5. Measurement and Data Numbers and Operations (Base 10) Describe and compare measurable attributes such as length or width.  Describe several measurable attributes of a single object.Directly compare two objects with a measurable attribute in common.Classify objects and count the number of objects in each category.Use data to create real-object and picture graphs.  Draw conclusions from real-object and picture graphs.Classify objects in given categories, count the number of objects in each category, and sort the categories by count. Work with numbers 11-19 to gain foundations for place valueUse one to one correspondence and language such as more than, same number as, or two less than to describe relative sizes of sets to concrete objectsUse sets of concrete objects to represent quantities given in verbal or written form (through 20)Use numbers to describe how many objects are in a set (through 20) using verbal and symbolic descriptions Compose and decompose numbers from 11-19 into ten ones and some further ones.Identify coins by names.. Geometry Describe objects in the environment using names of shapes and describe the relative positions of these objects using positional word terms.Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, spheres) regardless of their orientation or overall size.Analyze, compare, create, and compose shapes.Identify objects as a 2D or 3D shape.Analyze and compare 2D and 3D shapes in different sizes and orientations using informal language to describe their similarities, differences, and parts.Model shapes in the world by building shapes from components and drawing shapes.

Math Units

Kindergarten

 Topic Category Standard Quarter UNIT 1: Counting and Cardinality Review of Kindergarten Skills 1st Understanding Counting Counting and Cardinality Understand counting with objects regardless of arrangement 1st Count 1, 2, and 3 Counting and Cardinality Understand counting with objects regardless of arrangement; Write numbers and tell how many. 1st Count 4 Counting and Cardinality Understand counting with objects regardless of arrangement; Write numbers and tell how many. 1st Count 5 Counting and Cardinality Understand counting with objects regardless of arrangement; Write numbers and tell how many. 1st Compare within 5 Counting and Cardinality Understand each successive number name is 1 larger; identify groups as greater than, less than, or equal to; compare numerals 1st Make 3, 4, 5 Operations and Algebraic Thinking Decompose numbers in more than 1 way using objects; fluently add/ subtract within 5 1st UNIT 1 Test: UNIT 2: Counting and Cardinality, numbers 6-9 Count 6 and 7 Counting and Cardinality Understand counting with objects regardless of arrangement; Write numbers and tell how many. 1st Make 6 and 7 Operations and Algebraic Thinking Decompose numbers in more than 1 way using objects 1st Count 8 and 9 Counting and Cardinality Understand counting with objects regardless of arrangement; Write numbers and tell how many. 2nd Make 8 and 9 Operations and Algebraic Thinking Decompose numbers in more than 1 way using objects 2nd UNIT 2 Test: UNIT 3: Counting and Cardinality, numbers to 10 Count 10 Counting and Cardinality Understand counting with objects regardless of arrangement; Write numbers and tell how many. 2nd Compare within 10 Counting and Cardinality Understand each successive number name is 1 larger; identify groups as greater than, less than, or equal to; compare numerals 2nd Make 10 Operations and Algebraic Thinking Decompose numbers in more than 1 way using objects; using numbers 1-9, find the number that makes 10 using drawings or objects 2nd UNIT 3 Test: UNIT 4: Operations Understand Addition Operations and Algebraic Thinking Represent addition/subtraction using various methods 2nd Add within 5 Operations and Algebraic Thinking Fluently add/subtract within 5; solve addition/subtraction word problems 2nd Understand subtraction Operations and Algebraic Thinking Represent addition/subtraction using various methods 2nd Subtract within 5 Operations and Algebraic Thinking Fluently add/subtract within 5; solve addition/subtraction word problems 2nd Add within 10 Operations and Algebraic Thinking Solve addition/subtraction word problems 3rd Subtract within 10 Operations and Algebraic Thinking Solve addition/subtraction word problems 3rd Practice facts to 5 Operations and Algebraic Thinking Fluently add and subtract within 5 3rd UNIT 4 Test UNIT 5: Counting and Cardinality, Numbers 11-100 and Number and Operations in Base Ten Understand teen numbers Number & operations in base 10 Compose/decompose numbers 3rd Count teen numbers Counting and Cardinality Write numbers 0-20 to represent a number of objects; count to answer “how many” questions 3rd Make teen numbers Number & operations in base 10 Compose/decompose numbers 3rd Count to 100 by tens Counting and Cardinality Count by 10’s 3rd Count to 100 by ones Counting and Cardinality Count by 1’s 3rd UNIT 5 Test UNIT 6: Measurement and Data Compare Length Measurement & Data Measure the length of objects 3rd Compare Weight Measurement & Data Measure the weight of objects 4th Compare Volume Measurement & Data Compare capacity 4th Sort Objects Measurement & Data Classify objects into given categories 4th Construct graphs Measurement & Data Create and read graphs 4th UNIT 6 Test UNIT 7: Geometry See Position and Shape Geometry Describe objects in the environment 4th Name Shapes Geometry Correctly name shapes and identify as 2D/3D 4th Compare Shapes Geometry Compare 2D/3D shapes 4th Build Shapes Geometry Build shapes 4th UNIT 7 Test Diagnostic