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First Grade Math

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

Measurement

  • 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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Materials

Standard Curriculum Items

  • Math Textbook, Grade 1
  • Math Manipulative Spinner
  • Math Manipulatives Cubes(100)
  • Manipulatives Rods(50)
  • Centimeter Gram Cubes(100)
  • Manipulatives Counting Chips(100)
  • Wooden Geometric 3D Shapes(12)

NOTE: List subject to change

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