Unit 9 Overview:

This unit is your mastery unit for the final standards. Students will demonstrate their understanding of division and conversions within multi step problems.

1. Students will find whole-number quotients of whole numbers with up to four digits dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division and illustrate and explain the calculation by using equations, rectangular arrays, and/or area models (NBT.B.6)
2. Students will divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between operations, relate the strategy to a written method, and explain the reasoning used. (NBT.B.7)
3. Students will interpret a fraction as division of the numerator by the denominator (a/b = ab) and solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. (NF.B.3)
4. Students will interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) divided by 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain (1/3) divided by 4 = 1/12 because (1/12) times 4 = 1/3 (NF.B.7a)
5. Students will interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 divided (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 divided 1/5 = 20, because 20 x 1/5 = 4. (NF.B.7b)
6. Students will solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. (NF.B.7c)
7. Students will 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 multipled or divided by a power of 10. Use whole-number exponents to denote powers of 10. ( NBT.A.2)
8. Students will fluently multiply multi-digit whole numbers using the standard algorithm. (NBT.B.5)
9. Students will 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. (NBT.B.6)
10. Students will convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems (MD.A.1)