# 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
• 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