Summary of Skills

Age 6-8 - Concept 5: Math

Unit 1: Number Sense

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
Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, etc.
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

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
Represent whole-number sums and differences on a number line diagram
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
Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends

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

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)

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

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

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

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

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

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