Summary of Skills

Age 5-7 - Concept 5: Math

Unit 1: Number Sense 1-20

Math

  • Compare objects and numbers 1 through 20
  • Compare objects and numbers 6 through 10
  • Count and show money amounts using pennies, nickels, and dimes
  • Count by 2s and 5s to 20
  • Count by 2s and 5s to 20 from any number
  • Count to 20, starting at any number less than 20. In this range, read and write numerals and represent a number of objects with a written numeral
  • Decompose numbers 11-20 to show that they are made up of 10 and other ones
  • Develop a plan for counting
  • Identify and create patterns
  • Order and compare numbers 1 through 20
  • Order objects and numbers 1 through 20
  • Order objects and numbers 6 through 10
  • Recognize the quantity of objects with the corresponding numeral
  • Show ways to make 10
  • Use graphic organizers to show number values
  • Use manipulatives and graphic organizers to show number values and solve problems
  • Write numbers 1-5 symbolically, numerically, and in word form
  • Write numbers 11-20 symbolically, numerically, and in word form
  • Write numbers 6-10 symbolically, numerically, and in word form

Unit 2: Geometry

Math

  • Build and draw shapes that possess defining attributes
  • Compose 2D and 3D shapes that have defining attributes
  • Compose 3D shapes to create composite shapes
  • Describe equal shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of
  • Describe the parts of shapes
  • Describe the whole as two of or four of the shares
  • Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size)
  • Identify 2D and 2D shapes
  • Identify 3D shapes
  • Identify shapes based on their parts
  • List the attributes of 2D and 3D shapes
  • Partition circles and rectangles into two and four equal shares
  • Understand and identify attributes
  • Understand that dividing a whole into more equal shares creates smaller shares
  • Use and write ordinal numbers
  • Use shapes to create composite shapes

Unit 3: Addition and Subtraction to 10

Math

  • Add and subtract within 20, demonstrating fluency with addition and subtraction within 10
  • Apply properties of operations as strategies to add and subtract
  • Count by 10s
  • Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral
  • Count, read, and write to 120, starting at any number less than 120
  • Determine if equations involving addition and subtraction are true or false
  • Determine the unknown whole number in an addition or subtraction equation relating three whole numbers
  • Relate counting on a number line to adding and subtracting
  • Understand subtraction as an unknown addend problem
  • Understand the meaning of the equal sign
  • Understand the value of zero in math
  • Use a variety of problem solving strategies
  • Use addition and subtraction within 20 to solve problems
  • Use addition and subtraction within 20 to solve word problems

Unit 4: Data and Graphing

Math

  • Ask and answer questions about data
  • Collect data
  • Collect, organize, and represent data
  • Interpret data from charts and graphs
  • Organize and represent data

Unit 5: Addition and Subtraction to 20

Math

  • Add and subtract within 20
  • Apply properties of operations as strategies to add and subtract
  • Create number bonds
  • Determine the unknown whole number in an addition or subtraction equation relating three whole numbers
  • Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20
  • Use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions
  • Use strategies such as making 10 and creating equivalent but easier or known sums to add

Unit 6: Time

Math

  • Add and subtract within 20, demonstrating fluency for addition and subtraction within 10
  • Define time
  • Explain the importance of telling time
  • Match analog and digital times
  • Relate time to daily activities
  • Sequence times
  • Tell and write time in hours and half hours using analog and digital clocks
  • Use vocabulary related to time

Unit 7: Place Value

Math

  • Add and subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90
  • Add and subtract within 20, demonstrating fluency for addition and subtraction within 10
  • Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <
  • Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral
  • Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count
  • Sequence numbers 1-100
  • Understand that 10 can be thought of as a bundle of ten ones, called a "ten"
  • Understand that the numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones)
  • Understand that the numbers from 11 to 19 are composed of a ten and one, two, three, four, five, six, seven, eight, or nine ones
  • Understand that the two digits of a two-digit number represent amounts of tens and ones

Unit 8: Measurement

Math

  • Compare capacities of containers
  • Compare weights of objects
  • Discuss measurement words, measurement tools, and the purpose of measurement
  • 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; understand that the length measurement of an object is the number of same-size length units that span it with no gaps or overlaps
  • Identify objects that are hot and cold
  • Measure time using a stopwatch
  • Observe changes in temperature
  • Order objects by height
  • Order three objects by length

Unit 9: Addition to 100

Math

  • Add and subtract within 20, demonstrating fluency for addition and subtraction within 10
  • Add within 100
  • 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
  • Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral
  • Determine the unknown whole number in an addition or subtraction equation relating three whole numbers
  • Given a two-digit number, mentally find 10 more or 10 less than the number
  • Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90
  • Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten
  • Understand the meaning of the equal sign, and determine if equations involving addition and subtraction are true or false

Unit 10: Skills Review

Math

  • Add and subtract within 20, demonstrating fluency for addition and subtraction within 10
  • 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
  • Apply properties of operations as strategies to add and subtract
  • Build and draw shapes to possess defining attributes
  • Compare two-digit numbers
  • Compose two dimensional shapes to create a composite shape
  • Count by 2s, 5s, and 10s
  • Count to 120, starting at any number less than 120. In this range, read and write numerals and represent a number of objects with a written numeral
  • Determine the unknown whole number in an addition or subtraction equation relating three whole numbers
  • 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
  • Given a two-digit number, mentally find 10 more or 10 less than the number
  • Order objects by length
  • Partition circles and rectangles into two and four equal shares, describe the shares using the words "halves," "fourths," and "quarters"
  • Tell and write times in hours and half hours using analog and digital clocks
  • Understand that in adding two-digit numbers, one adds tens and tens, ones and ones; and sometimes it is necessary to compose a ten
  • Understand that the numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 refer to one, two, three, four, five, six, seven, eight, or nine tens (and 0 ones)
  • Understand that the two digits of a two-digit number represent amounts of tens and ones