Unit 1 Order of Operations and Whole Numbers Parent Letter
In this unit students will: • Solve problems by representing mathematical relationships between quantities using mathematical expressions and equations. • Use the four whole number operations efficiently, including the application of order of operations. • Write, evaluate, and interpret mathematical expressions with and without using symbols. • Apply strategies for multiplying a 2- or 3-digit number by a 2-digit number. • Develop paper-and-pencil multiplication algorithms (the U.S. traditional algorithm is not an expectation) for 3- or 4-digit number multiplied by a 2- or 3-digit number. • Apply paper-and-pencil strategies for division (the strategies should be based on place-value reasoning - the U.S. traditional algorithm is not an expectation) • Solve problems involving multiplication and division. • Investigate the effects of multiplying whole numbers by powers of 10.
Order of Operations MGSE5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
Writing Expressions MGSE5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.
Powers of 10 MGSE5.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. MGSE5.NBT.2 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.
Multiplication and Division of Whole Numbers MGSE5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm. MGSE5.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.