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Mathematics

Mathematical Content Standards

Unit 1: Counting

Power Standards

Power Standards

  • #1: Use addition and subtraction within 20 to solve word problems with unknowns in all positions. (1.0A.1)
  • #5: Organize, represent, and interpret data with up to three categories (e.g., How many people in our class have a cat, a dog, or neither?). (1.MD.4)
  • #6: Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size) of a shape. (1.G.1)

 

Concepts and Skills

Concepts and Skills

Number/Operations:

  • Recognize and decompose quantities up to 20 using visual patterns
  • Compare and order numbers
  • Count and represent collections of objects with numerals
  • Count on from any number
  • Solve number stories by adding and subtracting

Data:

  • Answer questions about data

 

Unit 2: Introducing Addition

Power Standards

Power Standards

  • #1: Use addition and subtraction within 20 to solve word problems with unknowns in all positions. (1.0A.1)
  • #5: Organize, represent, and interpret data with up to three categories (e.g., How many people in our class have a cat, a dog, or neither?). (1.MD.4)
Concepts and Skills

Concepts and Skills

Number/Operations:

  • Relate counting to addition and subtraction
  • Recognize and decompose quantities up to 20 using visual patterns
  • Add combinations of 10 automatically
  • Add within 10 fluently
  • Count and represent collections of objects with numerals
  • Model parts-and-total, change, and comparison situations
  • Find the unknown in addition and subtraction equations

 

Unit 3: Number Stories

Power Standards

Power Standards

  • #1: Use addition and subtraction within 20 to solve word problems with unknowns in all positions. (1.0A.1)
Concepts and Skills

Concepts and Skills

Number/Operations:

  • Count on from any number
  • Model parts-and-total, change, and comparison situations
  • Solve number stories by adding and subtracting
  • Relate counting to addition and subtraction
  • Find the unknown in addition and subtraction equations

 

Unit 4: Length and Addition Facts

Power Standards

Power Standards

  • #1: Use addition and subtraction within 20 to solve word problems with unknowns in all positions. (1.0A.1)
  • #2: Given a two-digit number, mentally find 10 more or 10 less than the number without having to count; explain the strategy used. (1.NBT.5)
  • #3: Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end. (1.MD.2)
  • #5: Organize, represent, and interpret data with up to three categories (e.g., How many people in our class have a cat, a dog, or neither?). (1.MD.4)
Concepts and Skills

Concepts and Skills

Measurement:

  • Compare the length of objects indirectly
  • Measure length using same-size units with no gaps or overlaps
  • Express length as a whole number of units

Whole Number Operations:

  • Add doubles automatically
  • Add combinations of 10 automatically
  • Model and solve number stories involving the addition of 3 addends
  • Mentally find 10 more or 10 less than a 2-digit number

Data:

  • Answer questions about data

 

Unit 5: Place Value and Comparisons

Power Standards

Power Standards

  • #1: Use addition and subtraction within 20 to solve word problems with unknowns in all positions. (1.0A.1)
  • #3: Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end. (1.MD.2)
Concepts and Skills

Concepts and Skills

Number:

  • Understand place value
  • Understand exchanging tens and ones
  • Record comparisons using >, =, or <
  • Count on from any number

Whole Number Operations:

  • Determine whether equations involving addition or subtraction are true or false
  • Understand adding 2-digit numbers and 1-digit numbers

Measurement:

  • Express length as a whole number of units

 

Unit 6: Addition Fact Strategies

Power Standards

Power Standards

  • #1: Use addition and subtraction within 20 to solve word problems with unknowns in all positions. (1.0A.1)
  • #4: Measure and record time in hours and half-hours using analog and digital clocks. (1.MD.3)
Concepts and Skills

Concepts and Skills

Number:

  • Understand exchanging tens and ones

Whole Number Operations:

  • Understand adding 2-digit numbers and 1-digit numbers
  • Add and subtract within 20 using strategies
  • Understand adding 2-digit numbers and multiples of 10
  • Solve number stories by adding and subtracting

Measurement:

  • Tell and write time using analog clocks

 

Unit 7: Subtraction Fact Strategies and Attributes of Shapes

Power Standards

Power Standards

  • #1: Use addition and subtraction within 20 to solve word problems with unknowns in all positions. (1.0A.1)
  • #2: Given a two-digit number, mentally find 10 more or 10 less than the number without having to count; explain the strategy used. (1.NBT.5)
  • #4: Measure and record time in hours and half-hours using analog and digital clocks. (1.MD.3)
  • #6: Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size) of a shape. (1.G.1)
Concepts and Skills

Concepts and Skills

Whole Number Operations:

  • Understand subtraction as an unknown-addend problem
  • Apply properties of operations to add or subtract
  • Subtract doubles automatically
  • Relate counting to addition and subtraction
  • Find the unknown in addition and subtraction equations

Geometry:

  • Distinguish between defining and non-defining attributes

Measurement:

  • Tell and write time using digital clocks

 

Unit 8: Geometry

Power Standards

Power Standards

  • #2: Given a two-digit number, mentally find 10 more or 10 less than the number without having to count; explain the strategy used. (1.NBT.5)
  • #4: Measure and record time in hours and half-hours using analog and digital clocks. (1.MD.3)
  • #5: Organize, represent, and interpret data with up to three categories (e.g., How many people in our class have a cat, a dog, or neither?). (1.MD.4)
  • #6: Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size) of a shape. (1.G.1)
  • #7: Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, right circular cylinders) to create a composite shape. (1.G.2)
Concepts and Skills

Concepts and Skills

Whole Number Operations:

  • Mentally find 10 more or 10 less than a 2-digit number

Geometry:

  • Distinguish between defining and non-defining attributes
  • Build composite shapes

Geometry / Fractions:

  • Partition shapes into equal shares
  • Describe equal shares using fraction words
  • Understand that more equal shares means smaller equal shares

Measurement:

  • Tell and write time with digital clocks

Data:

  • Answer questions about data

 

Unit 9: Two-Digit Addition and Subtraction and Review

Power Standards

Power Standards

  • #1: Use addition and subtraction within 20 to solve word problems with unknowns in all positions. (1.0A.1)
  • #2: Given a two-digit number, mentally find 10 more or 10 less than the number without having to count; explain the strategy used. (1.NBT.5)
  • #3: Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object (the length unit) end to end. (1.MD.2)
  • #6: Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size) of a shape. (1.G.1)
  • #7: Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, right circular cylinders) to create a composite shape. (1.G.2)
Concepts and Skills

Concepts and Skills

Number:

  • Record comparisons using >, =, or <
  • Understand place value

Whole Number Operations:

  • Subtract multiples of 10 from multiples of 10
  • Understand adding 2-digit numbers

Measurement:

  • Express length as a whole number of units

Geometry:

  • Distinguish between defining and non-defining attributes

Geometry / Fractions:

  • Understand that more equal shares means smaller equal shares