Math Scope and Sequence

Key Topics in First Grade Math:

Operations and Algebraic Thinking

Numbers and Operations (Base 10)

  • Add and subtract within 20
  • Use addition and subtraction within 20 to solve word problems
  • Solve word problems that call for addition of three whole numbers
  • Use strategies to solve addition and subtraction problems
  • Understand Subtraction as an unknown-addend problem
  • Relate Counting to addition and subtraction
  • Math Fact Fluency for adding and subtracting within 10
  • Understand the meaning of equal sign and determine if equations involving addition and subtraction are true or false
  • Determine the unknown number in an addition or subtraction equation
  • Identify ordinal numbers first to tenth
  • Find patterns in numbers including even and odd
  • Count to 120
  • Understand place value: the two digits of a two-digit number represent amounts of tens and ones.
  • Read and write numbers to 99 
  • Decompose and Compose whole numbers to 100
  • Compare two-digit numbers using >,=, and < through 99
  • Add within 100 using concrete models or drawings and strategies
  • Mentally add and subtract 10 to a two-digit number
  • Add and subtract multiples of ten to a two digit number
  • Identify penny, nickel, dime and quarter

Measurement and Data

Geometry

  • Order 3 objects by length
  • Compare the Lengths of two objects indirectly by using a third object
  • Estimate and measure length using standard and nonstandard units
  • Tell and write time to the hour and half hour
  • Represent and Interpret Data with up to three categories
  • Ask and Answer questions about the total number of data points such as how many in each category, and how many more or less are in one category than in another
  • Describe and Identify two-dimensional and three dimensional shapes
  • Distinguish between defining attributes(triangles are closed and three-sided)
  • Build and Draw shapes to possess defining attributes
  • Compose two dimensional and three dimensional shapes/putting shapes together
  • Partition circles and rectangles into two and four equal shares/breaking Shapes into Parts

Math Fact Fluency:

Counting Backwards from 100, Skip Counting by 2’s,5’s,10’s and Addition Facts

Math Units

1st Grade

Topic

Category

Standard

Quarter

UNIT 1: Operations and Algebraic Thinking- Add and Subtract

Review of Kindergarten Skills

1st

Counting on to Add

Operations and Algebraic Thinking

Relate Counting to addition

1st

Counting on to Subtract

Operations and Algebraic Thinking

Relate Counting to subtraction

1st

Add and Subtract in Word Problems

Operations and Algebraic Thinking

And Solve Word Problems

Use addition and subtraction within 20 to solve problems

1st

Understand Missing Addends

Operations and Algebraic Thinking

Understand subtraction as an unknown-addend problem

1st

Subtract to Compare in Word Problems

Operations and Algebraic Thinking

Use addition and subtraction within 20 to solve problems

1st

UNIT 1 Test:

UNIT 2: Operations and Algebraic Thinking- Learn Facts to 10

Doubles and Doubles Plus 1

Operations and Algebraic Thinking

Add within 20 and use strategies

1st

Number Partners for 6 and 7

Operations and Algebraic Thinking

Determine the unknown whole number in an addition equation

1st

Number Partners for 8 and 9

Operations and Algebraic Thinking

Apply properties of operations as strategy to add

1st

Number Partners for 10

Operations and Algebraic Thinking

Add within 20 and use strategies

2nd

Understand the Equal Sign

Operations and Algebraic Thinking

Understand the meaning of the equal sign

2nd

Facts I know

Operations and Algebraic Thinking

Add and Subtract within 20, use strategies

2nd

UNIT 2 Test:

UNIT 3: Operations and Algebraic Thinking and Numbers and Operation - Add and Subtract to 20

Understand Teen Numbers

Numbers and Operations in Base ten

Numbers from 11-19 are composed of a ten and one, two, etc.

2nd

Understand Sums Greater Than 10

Operations and Algebraic Thinking

Add/subtract within 20

2nd

Make a Ten to Add

Operations and Algebraic Thinking

Add/subtract within 20

2nd

Add Three Numbers

Operations and Algebraic Thinking

Solve word problems with sums less than 20 using symbol for unknown number

2nd

Make a Ten to Subtract

Operations and Algebraic Thinking

Add/subtract within 20

2nd

UNIT 3 Test:

UNIT 4: Number and Operations in Base Ten/Operations in Algebraic Thinking - Tens

Understand Tens

Number and Operations in Base Ten

Understand place value

3rd

The 120 Chart

Operations and Algebraic Thinking

Relate counting to addition/subtraction

3rd

Understand 10 More and 10 Less

Number and Operations in Base Ten

Mentally find 10 more/less without counting

3rd

Add and Subtract Tens

Number and Operations in Base Ten

Subtract multiples of 10

3rd

UNIT 4 Test:

UNIT 5:  Number and Operations in Base Ten - Tens and Ones

Understand Tens and Ones

Number and Operations in Base Ten

Understand place value

3rd

Compare Numbers

Number and Operations in Base Ten

Compare numbers using symbols

3rd

Add tens to any number

Number and Operations in Base Ten

Add within 100

3rd

Add tens and add ones

Number and Operations in Base Ten

Add within 100

3rd

Add and regroup

Number and Operations in Base Ten

Add within 100

3rd

UNIT 5 Test:

UNIT 6:  Geometry - Shapes

Understand Shapes

Geometry

Distinguish between defining attributes; build/draw

4th

Understand Putting Shapes Together

Geometry

Compose 2D and 3D shapes; create new shapes

4th

Understand Breaking Shapes into Parts

Geometry

Partition circles and rectangles

4th

UNIT 6 Test

UNIT 7:  Measurement and Data - How many? How much? How long?

Sort and Count

Measurement and Data

Represent and Interpret data

4th

Compare Data

Measurement and Data

Represent and Interpret data

4th

Order Objects by length

Measurement and Data

Order objects by length then compare using a 3rd

4th

Compare Lengths

Measurement and Data

Order objects by length then compare using a 3rd

4th

Understand Length Measurement

Measurement and Data

Measure lengths indirectly and by iterating length units

4th

Tell Time

Measurement and Data

Tell/write time using analog/digital clocks

4th

Money

Numbers and Operations in Base Ten

Identify coins

4th

Unit 7 test