KY.5.OA Operations and Algebraic Thinking Write and interpret numerical expressions. KY.5.OA.1 Use parentheses, brackets or braces in numerical expressions and evaluate expressions that include symbols. KY.5.OA.1 Use parentheses, brackets or braces in numerical expressions and evaluate expressions that include symbols. KY.5.OA.2 Write simple expressions with numbers and interpret numerical expressions without evaluating them. KY.5.OA.2 Write simple expressions with numbers and interpret numerical expressions without evaluating them. Analyze patterns and relationships. KY.5.OA.3 Generate numerical patterns for situations. KY.5.OA.3 Generate numerical patterns for situations. KY.5.OA.3.a: Generate a rule for growing patterns, identifying the relationship between corresponding terms (x, y). KY.5.OA.3.a: Generate a rule for growing patterns, identifying the relationship between corresponding terms (x, y). KY.5.OA.3.b: Generate patterns using one or two given rules (x, y). KY.5.OA.3.b: Generate patterns using one or two given rules (x, y). KY.5.OA.3.c: Use tables, ordered pairs and graphs to represent the relationship between the quantities. KY.5.OA.3.c: Use tables, ordered pairs and graphs to represent the relationship between the quantities.
 KY.5.NBT Number and Operations in Base Ten Understand the place value system. KY.5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. KY.5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. KY.5.NBT.2 Multiply and divide by powers of 10. KY.5.NBT.2 Multiply and divide by powers of 10. KY.5.NBT.2.1: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10. KY.5.NBT.2.1: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10. KY.5.NBT.2.2: Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Multiply by a power of 10 Divide by a power of 10 Mixed operations KY.5.NBT.2.2: Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Multiply by a power of 10 Divide by a power of 10 Mixed operations KY.5.NBT.2.3: Use whole-number exponents to denote powers of 10. KY.5.NBT.2.3: Use whole-number exponents to denote powers of 10. KY.5.NBT.3 Read, write and compare decimals to thousandths. KY.5.NBT.3 Read, write and compare decimals to thousandths. KY.5.NBT.3.a: Read and write decimals to thousandths using base-ten numerals, number names and expanded form. Base-ten numerals Number names Expanded form KY.5.NBT.3.a: Read and write decimals to thousandths using base-ten numerals, number names and expanded form. Base-ten numerals Number names Expanded form KY.5.NBT.3.b: Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. KY.5.NBT.3.b: Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. KY.5.NBT.4 Use place value understanding to round decimals to any place. KY.5.NBT.4 Use place value understanding to round decimals to any place. Perform operations with multi-digit whole numbers and with decimals to hundredths. KY.5.NBT.5 Fluently multiply multi-digit whole numbers (not to exceed four-digit by two-digit multiplication) using an algorithm. Multiply by 2-digit numbers Multiply three or more numbers KY.5.NBT.5 Fluently multiply multi-digit whole numbers (not to exceed four-digit by two-digit multiplication) using an algorithm. Multiply by 2-digit numbers Multiply three or more numbers KY.5.NBT.6 Divide up to four-digit dividends by two-digit divisors. KY.5.NBT.6 Divide up to four-digit dividends by two-digit divisors. KY.5.NBT.6.a: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors using... KY.5.NBT.6.a: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors using... KY.5.NBT.6.a.1: strategies based on place value Strategies 2-digit and 3-digit dividends 4-digit dividends KY.5.NBT.6.a.1: strategies based on place value Strategies 2-digit and 3-digit dividends 4-digit dividends KY.5.NBT.6.a.2: the properties of operations KY.5.NBT.6.a.2: the properties of operations KY.5.NBT.6.a.3: the relationship between multiplication and division KY.5.NBT.6.a.3: the relationship between multiplication and division KY.5.NBT.6.b: Illustrate and explain the calculation by using equations, rectangular arrays and/or area models. KY.5.NBT.6.b: Illustrate and explain the calculation by using equations, rectangular arrays and/or area models. KY.5.NBT.7 Operations with decimals to hundredths. KY.5.NBT.7 Operations with decimals to hundredths. KY.5.NBT.7.a: Add, subtract, multiply and divide decimals to hundredths using… KY.5.NBT.7.a: Add, subtract, multiply and divide decimals to hundredths using… KY.5.NBT.7.a.1: concrete models or drawings Multiplication Division KY.5.NBT.7.a.1: concrete models or drawings Multiplication Division KY.5.NBT.7.a.2: strategies based on place value Add and subtract Multiply decimals and whole numbers Multiply two decimals Divide decimals 20. Mixed operations KY.5.NBT.7.a.2: strategies based on place value Add and subtract Multiply decimals and whole numbers Multiply two decimals Divide decimals 20. Mixed operations KY.5.NBT.7.a.3: properties of operations KY.5.NBT.7.a.3: properties of operations KY.5.NBT.7.a.4: the relationship between addition and subtraction KY.5.NBT.7.a.4: the relationship between addition and subtraction KY.5.NBT.7.b: Relate the strategy to a written method and explain the reasoning used. KY.5.NBT.7.b: Relate the strategy to a written method and explain the reasoning used.