Essential Math Skills List
1. Reading, Writing, and Counting Numbers to 20 * Count objects and represent it with a number
*Write numbers in order from 1-20 and write numbers that come next in the pattern 19, 18, 17, __, __, __
2. Comparing Numbers to 10
* Put numbers in the correct order: 5, 9, 4, 7 should be 4, 5, 7, 9
* Tell which number or set is larger or smaller, more, less, before and after
3. Place Value to Teen Numbers
* Draw a picture of the teen number using a tens frame. Be able to tell how many in all and how many are on the tens frame and off the tens frame: . . . 10 are on the tens frame. 3 are off the tens frame. 13 total.
4. Comparing Numbers within 20
* Put numbers in the correct order: 16, 11, 3, 18 should be 3, 11, 16, 18
* Tell which number or set is larger or smaller, more, less, before and after
5. Addition and Subtraction to 20 with Word Problems
* Solve addition and subtraction equations up to the total of 20: 14-3=__ 8+7=__ __+__=20
*Solve word problems like: I had 14 grapes. I ate 5 of them. How many grapes do I have now? 8 kids were on the bus. Then 4 more kids got on the bus. How many kids are on the bus now?
* What number comes 5 numbers after 12? * What number comes 3 numbers before 11?
* Students should recognize that adding and subtracting is counting forwards or backwards.
6. Read, Write, and Count Numbers to 100
*Write numbers correctly to 100 by filling in a 100 chart. * Count objects and represent it with a number.
*Finish counting. Count forwards or backwards to fill in the blanks. 57, 56, 55, __, __, __, __, __, __
*When you are counting circle which number you say first/last? 81 24 16 39
7. Understanding Place Value with the Tens and Ones Place
*For the number 57 tell how many _____ tens and ____ones it has.
*Show the value of each digit by writing an equation… 50+7=57.
*Draw a picture to represent 57 with tens sticks and ones circles IIIII ooooooo
8. Comparing Numbers to 100
* Circle the number that is less. 84 or 29 * Circle the number that is more 49 or 72
* Write the number that comes before. _____80 * Write the number that comes after. 33 _____
* Which number is closer to 49? 41 or 52 * Put these numbers in order from smallest to largest. 88, 25, 19, 71, 50
* Use the greater than, less than, or equal to sign between the pair of numbers ( < , > , = ) 17 ____ 41
9. Two Digit Addition and Subtraction Including Word Problems
*14+30=__ 38-20=__ 78+5= __ 84-50=__ (count on/ back by tens or ones & use tens sticks and ones circles to solve)
* Complete the patterns: 12, 22, 32, _, _, _ 82, 72, 62, _, _, _
* Jack has 49 Legos and his brother has 8 Legos. How many do they have all together?
* There are 83 birds in a tree. 50 of them fly away. How many birds are in the tree now?
10. Understanding the Equal Sign and Solving for Missing Addends
* The equal sign is there to indicate that both sides of the equation are balanced and have the same value.
*5+ __ = 14 13 - __ = 6 12 = 18 - __ 17 = 9 + __
*Indicate True or False 13-9 = 17-4 11-2=9 13=4+5+7
11. Missing Addends Word Problems
*14 turtles were on a rock. 11 of the turtles were big. The rest were small. How many turtles were small?
*8 boys were on the bus. Then, some girls got on. Now there are 17 children. How many girls got on the bus?
12. Comparing Word Problems
*Sara has 7 pets. Joe has 3 more pets than Sara. How many pets does Joe have?
*Mrs. Smith’s class has 12 boys. Mr. Jones’ class has 9 boys. How many fewer boys are in Mr. Jones’ class?
*Emily has 16 hair bows. Mia has 2 fewer than Emily. How many hair bows does Mia have?
13. All Word Problems
*Includes any problems already taught but mixed together.
*It can be a difficult skill for students to differentiate between word problem types and to know when to use the different methods for solving.
14. Fluency with Addition and Subtraction to Sums of 10
* Students should quickly be able to recall all addition and subtraction facts within 10.
Beyond First Grade:
15. Number Sense to 150
* Telling 1 or 2 more/less, before/after, greater/fewer than a given number
* Write numbers that come next in the pattern 115, 116, 117, __, __, __
* Put numbers in the correct order: 111, 119, 104, 117 should be 104, 111, 117, 119
* Count on and count back (What number is 5 after 112? What number is 2 before 119?)
* Put in the > greater than, < less than, and = equal to symbols (111 > 104)
16. Advanced Math Skills:
Non-Essential Skills
X. Adding 3 single digit numbers
X. Shapes - Distinguish between defining attributes versus non-defining attributes of shapes and compose them: rectangles, squares, trapezoids, hexagons, circles, triangles, cubes, rectangular prisms, cones, and cylinders and partition circles and rectangles into equal shares with halves and fourths
X. Telling time to the hour and half hour.
X. Data - Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.
X. Measurement - Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object end to end; understand that the length measurement of an object is the number of the same-size length units that span it with no gaps or overlays AND order three objects by length; compare the lengths of two objects indirectly by using a third object
X. Fractions - Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.
X. Money - Recognizing quarter, nickel, dime, penny and relate their values to pennies.
*Write numbers in order from 1-20 and write numbers that come next in the pattern 19, 18, 17, __, __, __
2. Comparing Numbers to 10
* Put numbers in the correct order: 5, 9, 4, 7 should be 4, 5, 7, 9
* Tell which number or set is larger or smaller, more, less, before and after
3. Place Value to Teen Numbers
* Draw a picture of the teen number using a tens frame. Be able to tell how many in all and how many are on the tens frame and off the tens frame: . . . 10 are on the tens frame. 3 are off the tens frame. 13 total.
4. Comparing Numbers within 20
* Put numbers in the correct order: 16, 11, 3, 18 should be 3, 11, 16, 18
* Tell which number or set is larger or smaller, more, less, before and after
5. Addition and Subtraction to 20 with Word Problems
* Solve addition and subtraction equations up to the total of 20: 14-3=__ 8+7=__ __+__=20
*Solve word problems like: I had 14 grapes. I ate 5 of them. How many grapes do I have now? 8 kids were on the bus. Then 4 more kids got on the bus. How many kids are on the bus now?
* What number comes 5 numbers after 12? * What number comes 3 numbers before 11?
* Students should recognize that adding and subtracting is counting forwards or backwards.
6. Read, Write, and Count Numbers to 100
*Write numbers correctly to 100 by filling in a 100 chart. * Count objects and represent it with a number.
*Finish counting. Count forwards or backwards to fill in the blanks. 57, 56, 55, __, __, __, __, __, __
*When you are counting circle which number you say first/last? 81 24 16 39
7. Understanding Place Value with the Tens and Ones Place
*For the number 57 tell how many _____ tens and ____ones it has.
*Show the value of each digit by writing an equation… 50+7=57.
*Draw a picture to represent 57 with tens sticks and ones circles IIIII ooooooo
8. Comparing Numbers to 100
* Circle the number that is less. 84 or 29 * Circle the number that is more 49 or 72
* Write the number that comes before. _____80 * Write the number that comes after. 33 _____
* Which number is closer to 49? 41 or 52 * Put these numbers in order from smallest to largest. 88, 25, 19, 71, 50
* Use the greater than, less than, or equal to sign between the pair of numbers ( < , > , = ) 17 ____ 41
9. Two Digit Addition and Subtraction Including Word Problems
*14+30=__ 38-20=__ 78+5= __ 84-50=__ (count on/ back by tens or ones & use tens sticks and ones circles to solve)
* Complete the patterns: 12, 22, 32, _, _, _ 82, 72, 62, _, _, _
* Jack has 49 Legos and his brother has 8 Legos. How many do they have all together?
* There are 83 birds in a tree. 50 of them fly away. How many birds are in the tree now?
10. Understanding the Equal Sign and Solving for Missing Addends
* The equal sign is there to indicate that both sides of the equation are balanced and have the same value.
*5+ __ = 14 13 - __ = 6 12 = 18 - __ 17 = 9 + __
*Indicate True or False 13-9 = 17-4 11-2=9 13=4+5+7
11. Missing Addends Word Problems
*14 turtles were on a rock. 11 of the turtles were big. The rest were small. How many turtles were small?
*8 boys were on the bus. Then, some girls got on. Now there are 17 children. How many girls got on the bus?
12. Comparing Word Problems
*Sara has 7 pets. Joe has 3 more pets than Sara. How many pets does Joe have?
*Mrs. Smith’s class has 12 boys. Mr. Jones’ class has 9 boys. How many fewer boys are in Mr. Jones’ class?
*Emily has 16 hair bows. Mia has 2 fewer than Emily. How many hair bows does Mia have?
13. All Word Problems
*Includes any problems already taught but mixed together.
*It can be a difficult skill for students to differentiate between word problem types and to know when to use the different methods for solving.
14. Fluency with Addition and Subtraction to Sums of 10
* Students should quickly be able to recall all addition and subtraction facts within 10.
Beyond First Grade:
15. Number Sense to 150
* Telling 1 or 2 more/less, before/after, greater/fewer than a given number
* Write numbers that come next in the pattern 115, 116, 117, __, __, __
* Put numbers in the correct order: 111, 119, 104, 117 should be 104, 111, 117, 119
* Count on and count back (What number is 5 after 112? What number is 2 before 119?)
* Put in the > greater than, < less than, and = equal to symbols (111 > 104)
16. Advanced Math Skills:
Non-Essential Skills
X. Adding 3 single digit numbers
X. Shapes - Distinguish between defining attributes versus non-defining attributes of shapes and compose them: rectangles, squares, trapezoids, hexagons, circles, triangles, cubes, rectangular prisms, cones, and cylinders and partition circles and rectangles into equal shares with halves and fourths
X. Telling time to the hour and half hour.
X. Data - Organize, represent, and interpret data with up to three categories; ask and answer questions about the total number of data points, how many in each category, and how many more or less are in one category than in another.
X. Measurement - Express the length of an object as a whole number of length units, by laying multiple copies of a shorter object end to end; understand that the length measurement of an object is the number of the same-size length units that span it with no gaps or overlays AND order three objects by length; compare the lengths of two objects indirectly by using a third object
X. Fractions - Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.
X. Money - Recognizing quarter, nickel, dime, penny and relate their values to pennies.