Math Curriculum

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Math Curriculum

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• How do addition and subtraction skills develop
  from K-5th grade?

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Kindergarten

• Understand addition as putting together and
  adding to, and understand subtraction as taking
  apart and taking from
• K.OA1 Represent addition and subtraction with
  objects, fingers, mental images, drawings, sounds
  (e.g., claps), acting out situations, verbal
  explanations, expressions, or equations.
• K.OA2 Solve addition and subtraction word
  problems, and add and subtract within 10, e.g. by
  using objects or drawings to represent the
  problem.
• K.OA3 Decompose numbers less than or equal to 10
  into pairs in more than one way, e.g. by using
  objects or drawings, and record each
  decomposition by a drawing or equation (e.g. 5 2
  3 and 5 41)
• K.OA4 For any number from 1 to 9, find the number
  that makes 10 when added to the given number,
  e.g., by using objects or drawings, and record
  the answer with a drawing or equation.
• K.OA5 Fluently add and subtract within five
• Work with numbers 11-19 to gain foundations for
  place valueK.NBT1 Compose and decompose numbers
  from 11 to 19 into ten ones and some further
  ones, e.g., by using objects or drawings, and
  record each composition or decomposition by a
  drawing or equation (e.g. 18 10 8)
  understand that these numbers are composed of ten
  ones and one, two, three, four, five, six, seven,
  eight, or nine ones.

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What does this look like in Kindergarten?
Equations with the symbol in different positions
Using drawings to solve problems
Mental Strategies
Number Bonds
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1st Grade

• 1.OA1 Use addition and subtraction within 20 to
  solve one and two step word problems involving
  situations of adding to, taking from, putting
  together, taking apart, and comparing, with
  unknowns in all positions, e.g. by using drawings
  and equations with a symbol for the unknown
  number to represent the problem.
• 1.OA2 Solve word problems that call for addition
  of three whole numbers whose sum is less than or
  equal to 20
• 1.OA6 Add and subtract within 20, demonstrating
  fluency for addition and subtraction within 10.
• 1.OA7 Understand the meaning of the equal sign,
  and determine if equations involving addition and
  subtraction are true or false. For example, which
  of the following equations are true and which are
  false? 66, 78-1, 5225 , 4152
• 1.OA8 Determine the unknown whole number in an
  addition or subtraction equation relating to
  three whole numbers. For example, determine the
  unknown number that makes the equation true in
  each of the equations 8 ? 11, 5 ? 3, 66
  ?

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1st Grade continued
                      

• Use place value understanding and properties of
  operations to add and subtract1.NBT4 Add within
  100, including adding a two-digit number and a
  one-digit number, and adding a two-digit number
  and a multiple of 10, using concrete models or
  drawings and strategies based on place value,
  properties of operations, and/or the relationship
  between addition and subtraction relate the
  strategy to a written method and explain the
  reasoning used. Understand that in adding
  two-digit numbers, one adds tens and tens, ones
  and ones, and sometimes it is necessary to
  compose a ten.

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What does this look like in 1st grade?
Adding a 2 digit number and a multiple of 10
bya) drawing Base10 blocksb) making jumps of 10
on an empty number line
45 30 75
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2nd Grade

• Represent and solve problems involving addition
  and subtraction 2.OA1 Use addition and
  subtraction within 100 to solve one and two step
  word problems involving situations of adding to,
  taking from, putting together, taking apart, and
  comparing, with unknowns in all positions, e.g.
  by using drawings and equations with a symbol for
  the unknown number to represent the problem.
• Add and subtract within 202.OA2 Fluently add and
  subtract within 20 using mental strategies. By
  end of Grade 2, know from memory all sums of two
  one-digit numbers.
• Use place value understanding and properties of
  operations to add and subtract2.NBT5 Fluently
  add and subtract within 100 using strategies
  based on place value, properties of operations,
  and/or the relationship between addition and
  subtraction.
• 2.NBT6 Add up to four two-digit numbers using
  strategies based on place value and properties of
  operations.

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2nd Grade continued

• 2.NBT7 Add and subtract within 1000, using
  concrete models or drawings and strategies based
  on place value, properties of operations, and/or
  the relationship between addition and
  subtraction relate the strategy to a written
  method. Understand that in adding or subtracting
  three-digit numbers, one adds or subtracts
  hundreds and hundreds, tens and tens, ones and
  ones and sometimes it is necessary to compose or
  decompose tens or hundreds.
• 2.NBT8 Mentally add 10 or 100 to a given number
  100-900 and mentally subtract 10 or 100 from a
  given number 100-900.
• 2.NBT9 Explain why addition and subtraction
  strategies work, using place value and the
  properties of operations.

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What does this look like in 2nd grade?
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3rd Grade

• 3.NBT2 Fluently add and subtract within 1000
  using strategies and algorithms based on place
  value, properties of operations, and/or the
  relationship between addition and subtraction.

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What does this look like in 3rd grade?
Decompose into hundreds, tens and ones and
recombine (or subtract) with and without
regrouping
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4th Grade

• 4.OA3 Solve multistep word problems posed with
  whole numbers and having whole-number answers
  using the four operations, including problems in
  which remainders must be interpreted. Represent
  these problems using equations with a letter
  standing for the unknown quantity. Assess the
  reasonableness of answers using mental
  computation and estimation strategies including
  rounding.
• 4.NBT4 Fluently add and subtract multi-digit
  whole numbers using the standard algorithm.

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What does this look like in 4th grade?
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5th Grade

• 5.NBT7 Add, subtract, multiply, and divide
  decimals to hundredths, using concrete models or
  drawings and strategies based on place value,
  properties of operations, and/or the relationship
  between addition and subtraction, relate the
  strategy to a written method and explain the
  reasoning used.

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What does this look like in 5th grade?
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Assessments

• Rubrics
• Checklist
• Feedback
• Next Steps

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Common Core Resources for Parents
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Questions?