Whole Numbers

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

Understand and use ordinal numbers to describe position.

X

Count, read, and write whole numbers to 20.

X

Compare numbers within 20.

X

X

Use place-value models to represent numbers to 100.

X

Read, write in words and as tens + ones, identify place values of digits for numbers within 100.

X

Count and identify 1 more than, 1 less than, 10 more than, 10 less than a number within 100.

X

Compare numbers to 100.

X

Describe and extend regular number patterns within 100, including counting by 2's and 20's.

X

Use place-value models to represent numbers to 1000.

X

Read, write in words, identify place values of digits, and compare numbers within 1000.

X

Compare numbers within 1000 and use the symbols <, +, >.

X

Describe and extend regular number patterns within 1000.

X

Use place-value models to represent numbers to 10,000.

X

Read, write in words, identify place values of digits, and compare and order numbers within 10,000.

X

Describe and extend regular number patterns within 10,000.

X

Use place-value models to represent numbers to 100,000.

X

Read, write in words, identify place values of digits, and compare and order numbers within 100,000.

X

Complete or extend regular number patterns for numbers within 100,000.

X

Round numbers within 100,000 to the nearest 10 or 100

X

Read, write in words, identify place values of digits, and round numbers in the millions.

X

Round numbers within 100,000 to the nearest 10, 100, or 1000.

X

Addition and Subtraction of Whole Numbers

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

Understand number bonds and part-whole concept.

X

Understand the meaning of addition (missing whole, putting together, adding on, simple addition stories).

X

X

Understand the meaning of subtraction (missing part, taking away, counting back, simple subtraction stories).

X

X

Add/Subtract numbers within 20

X

Use inverse relationship between addition and subtraction.

X

X

X

Learn addition and subtraction facts within 20.

X

Compare numbers by using subtraction to find the difference.

X

X

Add/Subtract numbers within 100.

X

Find the sum of 3 1-digit numbers.

X

Add/Subtract numbers within 1000.

X

Add/Subtract numbers within 10,000.

X

X

Use estimation to verify the reasonableness of calculated results in addition and subtraction, check subtraction problems using addition.

X

X

Determine whether an estimate is sufficient for a specific problem situation.

X

Add/subtract numbers in the billions.

Multiplication and Division of Whole Numbers

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

Use repeated addition and arrays to solve multiplication problems within 40.

X

X

Use sharing and grouping to divide.

X

X

Relate division to multiplication.

X

X

X

Recognize and extend regular linear patterns.

X

X

X

X

Multiply/divide by 2's and 3's.

X

Learn multiplication/division facts for 2's and 3's.

X

Multiply/divide by 4's, 5's, and 10's.

X

Learn multiplication/division facts for 4's, 5's, and 10's.

X

Understand quotient and remainder.

X

Understand the properties of 0 and 1 in multiplication.

X

Multiply/Divide by 6's, 7's, 8's, and 9's.

X

Learn multiplication/division facts for 6's, 7's, 8's, and 9's.

X

Multiply numbers within 1000 by a 1-digit number.

X

Divide numbers within 1000 by a 1-digit number, including situations where there is a remainder.

X

Multiply numbers within 10,000 by a 1-digit number.

X

Divide numbers within 10,000 by a 1-digit number, including situations where there is a remainder.

X

Multiply numbers within 10,000 by a 2-digit number.

X

X

Divide numbers within 10,000 by a 2-digit number.

X

Multiply/divide numbers within 1,000,000 by tens, hundreds, or thousands.

X

Use estimation to verify the reasonableness of calculated results in multiplication and division problems.

X

X

Find the factors and common factors of whole numbers within 100.

X

X

Find multiples and common multiples of whole numbers within 100.

X

X

Use divisibility rules for 2, 3, 5, 6, 9, and 10.

X

Use order of operations to solve mathematical expressions with or without parentheses.

X

Mental Math Strategies

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

Use commutative, distributive, and/or associative properties to perform mental calculations and check results.

X

X

X

X

X

X

Add 1-digit numbers involving renaming (e.g. 7 + 5) by making a ten.

X

Subtract 1-digit numbers involving renaming (e.g. 14 - 8) by subtracting from a ten.

X

Add/Subtract numbers within 100.

X

X

X

X

Add/Subtract 1's, 10's, or 100's to numbers within 1000.

X

X

X

Subtract from 100.

X

Subtract from 1000.

X

Add/Subtract a number close to 100 (e.g. 98).

X

Add and subtract money in compound units (dollars and cents) when the cents are multiples of 5 or close to $1.00.

X

Add/Subtract measurements in compound units.

X

Add/Subtract tenths, hundredths, or thousandths to or from decimal numbers.

X

Multiply and divide tens, hundreds, and thousands by a 1-digit number.

X

Fractions

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

Recognize and name halves and fourths.

X

X

Recognize, write, name, and illustrate fractions of a whole (denominators 1-12).

X

Find the fraction with the same denominator to make a whole with another fraction.

X

Compare and order unit fractions.

X

Compare and order fractions with the same denominator or with the same numerator.

X

Find equivalent fractions and simplest form of a fraction.

X

Compare and order fractions with different denominators.

X

Recognize and name the fraction of a set.

X

Find the fraction of a set.

X

Find fraction of a set for measurements (e.g. 10 minutes as a fraction of one hour).

X

X

Add/Subtract like fractions.

X

Add/Subtract related fractions.

X

Add/Subtract unlike fractions.

X

Understand mixed numbers and improper fractions, convert between them, locate them on a number line.

X

Relate division to fractions.

X

Add/subtract mixed numbers.

X

Multiply a fraction by a whole number.

X

X

Multiply a fraction by a fraction.

X

Divide a fraction by a whole number.

X

X

Divide a whole number or a fraction by a fraction.

X

Apply order of operations with or without parentheses to problems involving fracitons.

X

Money

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

Identify and know the value of coins and bills.

X

Use the dollar and cent symbols for money.

X

X

Count combinations of bills or coins.

X

Count combinations of bills and coins to $10.00.

X

Use decimal notation for money.

X

Use decimal notation to add and subtract money within $10.00.

X

Use decimal notation to add and subtract money within $100.00.

X

Multiply and divide money amounts in decimal notation.

X

Decimals

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

6A

6B

Understand tenths, hundredths, thousandths, locate decimal numbers on a number line, compare decimal numbers.

X

X

Convert a decimal to a fraction and simplify.

X

X

Convert a fraction to a decimal number (denominators are a factor of 10, 100, or 1000).

X

X

Compare and order decimal numbers of up to 3 decimal places and fractions.

X

X

Round decimal numbers of up to 2 decimal places to the nearest whole number or to 1-decimal place.

X

Round decimal numbers up to 3 decimal places to the nearest whole number, to 1-decimal place, or to 2-decimal places.

X

Add/Subtract decimal numbers of up to 2 decimal places.

X

Add/Subtract decimal numbers of up to 3 decimal places.

X

Multiply/Divide decimal numbers of up to 2 decimal places by a whole number.

X

X

Find the quotient of a division problem correct to 1 decimal place.

X

Find the quotient of a division problem correct to 2-decimal places.

X

Convert fractions to decimals correct to 2-decimal places.

X

Multiply/Divide decimal number by tens, hundreds, or thousands.

X

Multiply/divide a decimal number by a 2-digit whole number.

X

Use estimation to verify the reasonableness of calculated results in problems involving decimal numbers.

X

X

Time

1A

1B

2A