Summary of Skills

Age 6-8 - Concept 5: Math

Unit 1: Number Sense

Math

  • Attend to precision
  • Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate
  • Construct viable arguments and critique the reasoning of others
  • Count within 1000; skip-count by 5s, 10s, and 100s
  • Create visual patterns
  • Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends
  • Distinguish between patterns and non-patterns
  • Identify patterns in the real world
  • Make sense of problems and persevere in solving them
  • Mentally add 10 or 100 to a given number 100-900, and mentally subtract 10 or 100 from a given number 100-900
  • Model with mathematics
  • Reason abstractly and quantitatively
  • Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems

Unit 2: Addition and Subtraction/Fact Power!

Math

  • Explain why addition and subtraction strategies work, using place value and the properties of operations
  • Fluently add and subtract within 20 using mental strategies
  • Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers
  • Generate and solve problem situations
  • 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

Unit 3: Geometry

Math

  • Copy and create images using shapes
  • Describe equal shares using the words halves, thirds, and fourths and describe the whole as two halves, three thirds, four fourths
  • Distinguish regular and irregular shapes
  • Distinguish squares and rectangles
  • Identify the parts of polygons
  • Identify the parts of solids
  • Identify triangles, squares, rectangles, pentagons, hexagons, and other polygons
  • Partition circles and rectangles into two, three, or four equal shares
  • Recognize and create shapes
  • Recognize and create shapes having specified attributes
  • Recognize and create shapes having specified attributes, such as a given number of angles
  • Recognize and create solids
  • Recognize and use knowledge of attributes
  • Understand that a circle is not a polygon
  • Use shapes and solids to create pictures/images

Unit 4: Place Value I

Math

  • Add and subtract two-digit numbers
  • Add one-digit and two-digit numbers
  • Add two-digit numbers
  • Apply mental math strategies
  • Compare three-digit numbers
  • Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits
  • Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons
  • Count within 1000
  • Mentally add 10 and multiples of 10 to any number
  • Mentally subtract 10 from any number
  • Read and write numbers to 1000
  • Read and write numbers to 1000 using base-ten numerals, number names, and expanded form
  • Skip count by 100s
  • Skip-count by 5s, 10s, and 100s
  • Subtract two-digit numbers
  • Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones
  • Understand the numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones)

Unit 5: Measurement: Length

Math

  • Create using measurement
  • Estimate lengths using units of inches, feet, centimeters, and meters
  • Generate measurement data by measuring lengths of several objects to the nearest whole unit
  • Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes
  • Measure the length of an object twice
  • Measure the length of an object twice, using length units of different lengths for the two measurements
  • Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit
  • Read and write numbers to 1000
  • Show measurement data by making a line plot
  • Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones
  • Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units

Unit 6: Place Value II

Math

  • Add and subtract within 1000
  • Add up to four two-digit numbers
  • Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons
  • Count within 1000
  • Fluently add and subtract within 100
  • Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction
  • Mentally add 10 or 100 to a given number 100-900, and mentally subtract 10 or 100 from a given number 100-900
  • Read and write numbers to 1000
  • Read and write numbers to 1000 using base-ten numerals, number names, and expanded form
  • Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones

Unit 7: Telling Time

Math

  • Add and subtract within 1000
  • Relate time to daily activities
  • Relate times to daily activities
  • Sequence times
  • Tell and write time from analog and digital clocks to the nearest five minutes, using AM and PM

Unit 8: Money

Math

  • Add and subtract within 1000
  • Compare amounts of money
  • Count cent and dollar amounts
  • Mentally add 100 to a given number 100-900 and mentally subtract 100 from a given number 100-900
  • Show cent and dollar amounts
  • Show equal amounts of money in different ways
  • Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
  • Tell and write time from analog and digital clocks to the nearest five minutes

Unit 9: Data and Graphing

Math

  • Collect data
  • Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories
  • Generate measurement data by measuring lengths of several objects to the nearest whole unit
  • Show the measurements by making a line plot, where the horizontal scale is marked off in whole-number units
  • Solve simple put-together, take-apart, and compare problems using information presented in a bar graph

Unit 10: Skills Review

Math

  • Add and subtract within 1000
  • Compare two three-digit numbers
  • Count within 1000; skip count by 10s and 100s
  • Estimate lengths using inches, feet, centimeters, and meters
  • Identify triangles, quadrilaterals, pentagons, hexagons, and cubes
  • Measure the length of an object by using the appropriate tools
  • Mentally add and subtract 10 and 100 to and from a given number 100-900
  • Partition circles and rectangles into two, three, and four equal shares, using the words halves, thirds, quarters/fourths
  • Read and write numbers to 1000 using base-ten numerals, number names, and expanded form
  • Recognize and draw shapes having given attributes
  • Show cent and dollar amounts
  • Tell, write, and show times to the nearest five minutes