First Grade Math

This list is representative of the materials provided or used in this course. Keep in mind that the actual materials used may vary, depending on the school in which you are enrolled, and whether you are taking the course as Independent Study.

For a complete list of the materials to be used in this course by your enrolled student, please visit MyInfo. All lists are subject to change at any time.

Scope & Sequence : Scope & Sequence documents describe what is covered in a course (the scope) and also the order in which topics are covered (the sequence). These documents list instructional objectives and skills to be mastered. K12 Scope & Sequence documents for each course include:

Course Overview

First grade Math provides experiences to help students develop a formal understanding of numbers and mathematical concepts. Physical models still play a fundamental role in linking the real world to symbolic expressions. Students will continue the development of sorting and patterning skills; learn basic addition and corresponding subtraction facts; recognize and describe two-dimensional shapes; and build upon existing problem solving skills. Students will:

  • Work with patterns and sequences
  • Practice addition and subtraction
  • Learn to tell time and count money
  • Identify place values to hundreds
  • Practice measuring length, capacity, and weight
  • Work with geometric shapes
  • Become familiar with the concept of symmetry
  • Solve problems using logical reasoning, drawings, and models
  • Begin to develop intuitions about probability and fractions
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Course Outline

Numbers to 12

  • Count, read, write, compare, and order whole numbers to 12
  • Compare and order ordinals first through tenth
  • Identify one more than and one less than a given number
  • Count forward and back on a number line
  • Solve problems by drawing pictures and finding patterns

Understanding Addition: Facts to 6

  • Show the meaning of addition (joining, putting together,increasing)
  • Know the addition facts to 6
  • Write addition number sentences
  • Understand that numbers can be added in any order
  • Identify and extend simple numeric patterns for addition
  • Solve problems by using graphs and acting out problem situations

Understanding Subtraction: Facts to 6

  • Show the meaning of subtraction (taking away,separating)
  • Know the subtraction facts to 6
  • Write subtraction number sentences
  • Understand addition and subtraction as inverse operations
  • Add and subtract with zero
  • Identify and extend simple numeric patterns for subtraction
  • Solve problems by choosing the operations and writing number sentences

Addition Facts to 12

  • Learn the addition facts to 12
  • Develop an understanding of addition strategies such as using a number line, addition patterns, and doubles and near doubles
  • Add three one-digit numbers
  • Understand that the order in which the addends are grouped does not affect the sum
  • Solve problems by asking questions and choosing the operations

Subtraction Facts to 12

  • Learn the subtraction facts to 12
  • Develop an understanding of subtraction strategies such as using a number line, and identifying and using subtraction patterns
  • Use addition to check subtraction
  • Identify addition and subtraction fact families
  • Solve problems by drawing pictures and using models

Place Value to 100

  • Read, count, write, compare, and order whole numbers to 100
  • Understand place value by representing numbers to 100 as tens and ones
  • Understand and describe skip counting to 100 by twos,fives, and tens
  • Solve problems by using the guess-and-test strategy and logical reasoning

Money and Time

  • Learn the value of pennies, nickels, dimes, and quarters
  • Sort, count, and find the value of a group of coins
  • Show different combinations of coins that equal the same value
  • Tell time to the nearest half hour
  • Relate time to events
  • Determine the duration of elapsed time
  • Solve problems using logical reasoning and hidden information

Geometry, Fractions, and Probability

  • Identify common plane and solid figures, and describe their attributes
  • Recognize line symmetry as equal parts of plane figures
  • Recognize congruent figures as those with the same size and shape
  • Recognize, name, and write 1/2, 1/3, and 1/4 as part of a whole or part of a set
  • Explore the arrangement of objects and understand the likelihood of simple events
  • Solve problems using logical reasoning, drawings, and models

Add and Subtract Two-Digit Numbers

  • Add and subtract ones and tens
  • Add and subtract two-digit whole numbers and money amounts without regrouping
  • Estimate two-digit whole numbers to the nearest ten
  • Use models to add and subtract two-digit whole numbers with regrouping
  • Solve problems by choosing operations and using logical reasoning


  • Measure an object by identifying a unit of measure and using the appropriate tools
  • Measure, compare, and estimate length, capacity, and weight/mass in English and metric units
  • Measure perimeter using nonstandard units
  • Read a thermometer to find temperature in degrees Fahrenheit
  • Solve problems by using maps and logical reasoning

Addition and Subtraction Facts to 18

  • Learn addition and subtraction facts to 18
  • Identify fact families
  • Add and subtract using strategies such as related facts,the order of property, doubles, and making ten
  • Solve problems by drawing pictures and knowing when to ignore extra information

Moving On in Math

  • Strengthen understanding of numeration, place value,and regrouping concepts and skills
  • Identify function rules
  • Find missing numbers or unknown operations
  • Explore regrouping in addition and subtraction of two-digit numbers
  • Add three two-digit numbers
  • Understand numbers to 999 as hundreds, tens, and ones
  • Solve problems by making tables and using the guess-and-test strategy
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Number of Lessons and Scheduling

45 minutes

You might choose to split the lessons into smaller segments and take breaks as needed. K12’s online lesson tracking system allows you to pick up wherever you left off in any given lesson.

Total Lessons: 182

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K12 Scope & Sequence documents for each course include:

  • Course Overview (as seen above)
  • Course Outline
  • Lesson Time and Scheduling