Number and Operations in Base Ten Understand the place value system. 5.NBT.5: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Exponents and powers of 10 Multiply by powers of ten Divide by powers of ten Multiply and divide by powers of ten 5.NBT.5: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Exponents and powers of 10 Multiply by powers of ten Divide by powers of ten Multiply and divide by powers of ten 5.NBT.6: Read, write, and compare decimals to thousandths. 5.NBT.6: Read, write, and compare decimals to thousandths. 5.NBT.6.a: Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000). Base-ten numerals Number names Expanded form 5.NBT.6.a: Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000). Base-ten numerals Number names Expanded form 5.NBT.6.b: Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. 5.NBT.6.b: Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. Perform operations with multi-digit whole numbers and with decimals to hundredths. 5.NBT.8: Fluently multiply multi-digit whole numbers using the standard algorithm. Multiply by 2-digit numbers Multiply by 3-digit numbers Multiply three or more numbers 5.NBT.8: Fluently multiply multi-digit whole numbers using the standard algorithm. Multiply by 2-digit numbers Multiply by 3-digit numbers Multiply three or more numbers 5.NBT.9: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 2-digit and 3-digit dividends 4-digit dividends Strategies 5.NBT.9: Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. 2-digit and 3-digit dividends 4-digit dividends Strategies 5.NBT.10: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Add and subtract Multiply decimals and whole numbers Multiply two decimals Divide 32. Mixed operations 5.NBT.10: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used. Add and subtract Multiply decimals and whole numbers Multiply two decimals Divide 32. Mixed operations