Topic A: Mental Strategies for Multi-Digit Whole Number Multiplication
Topic B: The Standard Algorithm for Multi-Digit Whole Number Multiplication
Topic C: Decimal Multi-Digit Multiplication
Topic D: Measurement Word Problems With Whole Number and Decimal Multiplication
Topic E: Mental Strategies for Multi-Digit Whole Number Division
Topic F: Partial Quotients and Multi-Digit Whole Number Division
Topic G: Partial Quotients and Decimal Multi-Digit Division
Topic H: Measurement Word Problems with Multi-Digit Division
Common Core Standards
5.OA.1
Use parenthesis, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
5.OA.2
Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculations "add 8 and 7, then multiply by 2" as 2 x (8 + 7). Recognize that 3 x (18,932 + 921) is three times as large as 18,932 + 921, without having to calculate the indicated sum or product.
5.NBT..1
Recognize that in a multi-digit number, a digit in one place represents 10 times what it represents in the place to its right, and 1/10 what it represents in the place to its left.
5.NBT.2
Explain patterns in the number of zeros in 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.
5.NBT.5
Fluently multiply multi-digit whole numbers using the standard algorithm.
5.NBT.6
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.
5.NBT.7
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.
5.MD.1
Convert among different sized standard measurement units within a given measurement system (e.g. convert 5cm to 0.05m), and use these conversions in solving multi-step, real world problems. Using diagrams such as number line diagrams that feature a measurement scale.