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