# 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

• 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, 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