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Whole Numbers |
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1B |
2A |
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3A |
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4A |
4B |
5A |
5B |
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Understand and use ordinal numbers to describe position. |
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Count objects in a set, read, and write numerals to 10. |
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Compare two or more sets of objects up to 10 and identify which set is equal to, more than, or less than the other. |
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Compare two sets of objects up to 10 and determine how many more or less are in one set than the other. |
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Count and identify 1 more than or 1 less than a number within 10. |
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Use place-value models to represent numbers to 30. |
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Count objects in a set, read, and write numerals to 30. |
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Count and identify 1 more than or 1 less than a number within 30. |
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Understand number order and know that larger numbers describe sets with more objects in them than smaller numbers. |
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Count, read, and write whole numbers to 20. |
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Compare numbers within 20. |
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Use place-value models to represent numbers to 100. |
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Read, write in words, standard, and expanded notation, identify place values of digits for numbers within 100. |
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Count and identify 1 more than, 1 less than, 10 more than, 10 less than a number within 100. |
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Compare numbers within 100 and use the symbols <, +, >. |
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Make reasonable estimates when comparing numbers and sets of objects within 100. |
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Describe and extend regular number patterns within 100, including counting by 2's and 20's. |
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Use place-value models to represent numbers to 1000. |
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Read, write in words, standard, and expanded notation, identify place values of digits, and compare and order numbers within 1000. |
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Describe and extend regular number patterns within 1000. |
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Use place-value models to represent numbers to 10,000. |
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Read, write in words, standard, and expanded notation, identify place values of digits, and compare and order numbers within 10,000. |
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Count on and back in steps of 1, 10, 100, and 1000 and complete or extend regular number patterns within 10,000. |
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Round numbers within 10,000 to the nearest 10, 100, or 1000. |
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Use place-value models to represent numbers to 1,000,000,000. |
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Read, write in words, standard, and expanded notation, identify place values of digits, and compare and order numbers within 1,000,000,000. |
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Complete or extend regular number patterns for numbers within 1,000,000,000. |
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Round numbers within 1,000,000,000 to the nearest 10, 100 or 1000 |
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Read, write in words, standard, and expanded notation, identify place values of digits, and round numbers in the billions. |
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Round large numbers to the nearest 10, 100, 1000, 10,000, or 100,000. |
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Addition and Subtraction of Whole Numbers |
KA |
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1A |
1B |
2A |
2B |
3A |
3B |
4A |
4B |
5A |
5B |
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Understand number bonds and part-whole concept. |
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Understand the meaning of addition (missing whole, putting together, adding on, simple addition stories). |
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Understand the meaning of subtraction (missing part, taking away, counting back, simple subtraction stories). |
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Use concrete objects to determine the answer to addition and subtraction problems for two numbers within 10. |
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Recognize when an estimate is reasonable. |
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Add/Subtract numbers within 20. |
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Use inverse relationship between addition and subtraction. |
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Learn addition and subtraction facts within 20. |
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Compare numbers by using subtraction to find the difference. |
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Add/Subtract numbers within 100. |
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Count by 2's, 5's, and 10's within 100. |
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Find the sum of three 1-digit numbers. |
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Add/Subtract numbers within 1000. |
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Add/Subtract numbers within 10,000. |
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Use estimation to verify the reasonableness of calculated results in addition and subtraction, check subtraction problems using addition. |
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Determine whether an estimate is sufficient for a specific problem situation. |
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Add/subtract numbers in the billions. |
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Multiplication and Division of Whole Numbers |
KA |
KB |
1A |
1B |
2A |
2B |
3A |
3B |
4A |
4B |
5A |
5B |
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Use repeated addition and arrays to solve multiplication problems within 40. |
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Use sharing and grouping to divide. |
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Relate division to multiplication. |
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Recognize and extend regular linear patterns. |
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Multiply/divide by 2's and 3's. |
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Learn multiplication/division facts for 2's and 3's. |
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Multiply/divide by 4's, 5's, and 10's. |
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Learn multiplication/division facts for 4's, 5's, and 10's. |
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Use repeated subtraction to divide and find the remainder. |
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Understand quotient and remainder. |
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Understand the properties of 0 and 1 in multiplication and division. |
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Multiply/Divide by 6's, 7's, 8's, and 9's. |
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Learn multiplication/division facts for 6's, 7's, 8's, and 9's. |
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Multiply numbers within 10,000 by a 1-digit number. |
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Divide numbers within 10,000 by a 1-digit number, including situations where there is a remainder. |
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Multiply numbers within 10,000 by a 2-digit number. |
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Divide numbers within 10,000 by a 2-digit number. |
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Multiply/divide numbers within 1,000,000 by tens, hundreds, or thousands. |
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Use estimation to verify the reasonableness of calculated results in multiplication and division problems, check division problems using multiplication. |
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Find the factors and common factors of whole numbers within 100. |
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Find the greatest common factor of up to 3 numbers within 100. |
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Identify prime numbers. |
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Determine the prime factors of numbers within 100 and write the numbers as products of prime numbers, using exponents. |
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Find multiples and common multiples of whole numbers within 100. |
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Find the lowest common multiple of up to 3 numbers within 100. |
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Use divisibility rules for 2, 3, 5, 6, 9, and 10. |
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Use order of operations to solve mathematical expressions with or without parentheses. |
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Understand the distributive property. |
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Mental Math Strategies |
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KB |
1A |
1B |
2A |
2B |
3A |
3B |
4A |
4B |
5A |
5B |
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Use commutative and associative properties to perform mental calculations and check results. |
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Add 1-digit numbers involving renaming (e.g. 7 + 5) by making a ten. |
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Subtract 1-digit numbers involving renaming (e.g. 14 – 8) by subtracting from a ten. |
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Add/Subtract numbers within 100. |
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Add/Subtract 1's, 10's, or 100's to numbers within 1000. |
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Subtract from 100. |
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Subtract from 1000. |
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Add/Subtract a number close to 100 (e.g. 98). |
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Add/subtract a number close to 1000 (e.g. 998). |
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Add/subtract a number close to a multiple of 100 (e.g. 498). |
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Add and subtract money in compound units (dollars and cents) when the cents are multiples of 5 or close to $1.00. |
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Add/Subtract measurements in compound units. |
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Add/Subtract tenths, hundredths, or thousandths to or from decimal numbers. |
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Multiply and divide tens, hundreds, and thousands by a 1-digit number. |
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Multiply by 99 or by 25. |
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Multiply 10's by 10's or 100's. |
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Multiply by a number one less than a multiple of 10 or 100 (e.g. 49, 499). |
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Multiply a 2-digit number by a 2-digit number or a ten. |
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Fractions |
KA |
KB |
1A |
1B |
2A |
2B |
3A |
3B |
4A |
4B |
5A |
5B |
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Recognize and name halves and fourths. |
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Recognize, write, name, and illustrate fractions of a whole (denominators 1-12). |
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Find the fraction with the same denominator to make a whole with another fraction. |
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Compare and order unit fractions. |
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Compare and order fractions with the same denominator or with the same numerator. |
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Find equivalent fractions and simplest form of a fraction. |
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Compare and order fractions with different denominators. |
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