Key Concept: The order of operations is required to evaluate an expression.

Topic Overview | Standards Alignment | #### Common Core

CCSS.MATH.CONTENT.5.OA.A.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.#### Georgia

MGSE5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. IEP Goals

In this topic, students will recognize the order of operations and use it to evaluate expressions.

1. Given an expression with two operations, the student will be able to evaluate the expression with 90% accuracy over 5 consecutive sessions.

2. Given an expression with three operations, the student will be able to evaluate the expression with 85% accuracy over 5 consecutive sessions.

3. Given an expression with four operations, the student will be able to evaluate the expression with 80% accuracy over 5 consecutive sessions.

2. Given an expression with three operations, the student will be able to evaluate the expression with 85% accuracy over 5 consecutive sessions.

3. Given an expression with four operations, the student will be able to evaluate the expression with 80% accuracy over 5 consecutive sessions.

Unit Launcher

View Lacy’s Family Vacations: Discussion Guide and KWL Chart

M.8-1-1 Using the Order of Operations with 2 Operations |

View Guided Lesson Students will use the order of operations to evaluate expressions by multiplying or dividing before adding or subtracting. (12-20 min)

M.8-1-2 More Using the Order of Operations with 2 Operations |

View Guided Lesson Students will use the order of operations to evaluate expressions by adding and subtracting or multiplying and dividing from left to right. (12-20 min)

M.8-1-3 Using the Order of Operations with Parentheses |

View Guided Lesson Students will use the order of operations to evaluate expressions with parentheses. (12-20 min)

M.8-1-4 Using the Order of Operations with 3 Operations |

View Guided Lesson Students will use the order of operations to evaluate expressions with 3 operations. (12-20 min)

M.8-1-5 Using the Order of Operations with 4 Operations |

View Guided Lesson Students will use the order of operations to evaluate expressions with 4 operations. (12-20 min)

Real World Investigation Part 1

View Lacy’s Family Vacations: Lacy's Data

Key Concept: The order of operations is required when writing expressions for verbal phrases and solving word problems.

Topic Overview | Standards Alignment | #### Common Core

CCSS.MATH.CONTENT.5.OA.A.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.#### Georgia

MGSE5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. IEP Goals

In this topic, students write simple expressions and build upon their knowledge of the order of operations to solve 2 and 3-step story problems.

1. Given a verbal phrase with two operations, the student will be able to write a symbolic expression to represent the phrase with 90% accuracy over 5 consecutive sessions.

2. Given a two-step word problem, the student will be able to evaluate the problem with 85% accuracy over 5 consecutive sessions.

3. Given a three-step word problem, the student will be able to evaluate the problem with 80% accuracy over 5 consecutive sessions.

2. Given a two-step word problem, the student will be able to evaluate the problem with 85% accuracy over 5 consecutive sessions.

3. Given a three-step word problem, the student will be able to evaluate the problem with 80% accuracy over 5 consecutive sessions.

M.8-2-1 Writing Simple Expressions |

Lesson Plan

View Guided Lesson Students write and evaluate simple expressions with two operations using addition and subtraction or multiplication and division. (12-20 min)

M.8-2-2 More Writing Simple Expressions |

Lesson Plan

M.8-2-3 Order of Operations Word Problems - 2 Operations |

Lesson Plan

View Guided Lesson Students use the order of operations to solve two-step word problems by creating a bar model. (12-20 min)

M.8-2-4 More Order of Operations Word Problems - 3 Operations |

Lesson Plan

View Guided Lesson Students use the order of operations to solve three-step word problems by creating a bar model. (12-20 min)

Real World Investigation Part 2

View Lacy’s Family Vacations: Create Some Data

Real World Investigation Part 3

View Lacy’s Family Vacations: Your Data

This Big Idea builds upon students’ understanding of evaluating expressions. The unit opens by introducing students to the order of operations. Throughout the first topic students build their understanding as they evaluate expressions with two, three, and then four operations. In the second topic, students apply their understanding of the order of operations in order to write an expression when given a verbal phrase. The unit ends with students extending their understanding of the order of operations to solve two and three-step word problems.

CCSS.MATH.CONTENT.5.OA.A.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

MGSE5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.