1 Access Points

Access Point
 MAFS.5.OA.1.AP.1a: Evaluate a simple expression involving one set of parenthesis.

Lesson Plan

Late Delivery: This online interactive educational game engages students in using the order of operations to simplify expressions. Students help Postman Phil deliver the mail by finding the value of the expression written on each door and choosing the appropriate envelope. Dougal Dog provides immediate feedback by either barking if a student's response is correct, or by chewing up the mail if a student responds with an incorrect answer. 
Exploring Krypto (Order of Operations): Krypto is a game in which a target number is drawn from a special deck, then five more numbers are drawn, which are then manipulated using any of the 4 standard arithmetic operations to obtain the target number. This game can contribute to develop number sense, computational skills, and better understanding of the orders of operation.
(from NCTM Illuminations) 
Everything Balances Out in the End: Balancing Algebraic Understanding: This lesson focuses on simplification of numerical expressions using a pan balance applet. The Pan Balance  Numbers applet will allow students to practice order of operations by having them input equivalencies (which the module will record in the table on the right) and by selecting one operation at a time, they will come to see algebraic logic in their simplifications. 
Fly Runners Order of Operations MEA: This MEA is designed so that students will practice knowledge learned from Order of Operations. In the process, students will analyze marketing and advertising data in order to help Fly Runners Running Shoes choose the appropriate magazine to advertise with. 
Please Excuse My Dear Aunt Sally: The students will learn and use the order of operations. In groups, the students will work together to discover the importance of following stepbystep instructions and apply that knowledge in solving algebraic equations by correctly using the order of operations. Students should accurately use the mathematical steps of the PEMDAS model to solve mathematical expressions.

Unit/Lesson Sequence

Using the Laws of Arithmetic: This lesson unit helps teachers assess how students perform arithmetic operations, write and evaluate numerical expression s from diagrammatic representations, apply the distributive and commutative properties, and find areas of compound rectangles. The time for the lesson is broken into a 15 minute prelesson task, an 80 minute lesson (or two 40 minute lessons), and a 15 minute follow up lesson or homework. Individual students will need a copy of the two tasks, a miniwhiteboard, a pen, and an eraser. Each small group will need cutup copies of the card sets, a large sheet of postersized paper, and a glue stick. 
ProblemSolving Task

Watch Out for Parentheses 1: This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have differing results due to placement of parentheses. This type of problem helps students to see structure in numerical expressions. In later grades they will be working with similar ideas in the context of seeing and using structure in algebraic expressions.

Bowling for Numbers: The purpose of this game is to help students think flexibly about numbers and operations and to record multiple operations using proper notation. Students eager to knock down all of the pins quickly develop patterns in their expressions. They may reuse parts of an expression, perhaps changing just the final operation.

Assessment

Order of Operations Quiz: In this activity, students practice solving algebraic expressions using order of operations. The applet records their score so the student can track their progress. This activity allows students to practice applying the order of operations when solving problems. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Text Resource

Mathematics Standards Unpacked: Grade Five: This document provides descriptions and examples of what each Mathematics Florida Standard means a Grade Five student will know, understand, and be able to do. This "unpacking" of the standards provides instructional guidelines and was developed to assist North Carolina educators teaching Mathematics (Standard Course of Study).

Teaching Idea

Order of Operations Bingo: Students will evaluate arithmetic expressions for the equivalent answers, which correspond to numbers on Bingo sheets handed out by the teacher.
This activity's goal is to strengthen the students' understanding of the order of operations for addition, subtraction, multiplication, and division, rather than applying the acronym PEMDAS. Students can be confused by the fact that in the acronym multiplication comes before division, and addition before subtraction. They should be brought to understand that when moving left to right, the precedence is equal for both components of each of these groups. 
Formative Assessment

Place The Parentheses: Students are given an equation and asked to place parentheses within the equation to make the equation true. 
With and Without Parentheses: Students consider two different yet similar equations and determine if they are true. 
Evaluating Expressions: Students are asked to evaluate two similar expressions and explain why the answers are different. 
More Expressions: Students are asked to insert parentheses into an expression in two different ways, evaluate each way, and explain why the answers are different.
Related Resource Types
 + Late Delivery + : This online interactive educational game engages students in using the order of operations to simplify expressions. Students help Postman Phil deliver the mail by finding the value of the expression written on each door and choosing the appropriate envelope. Dougal Dog provides immediate feedback by either barking if a student's response is correct, or by chewing up the mail if a student responds with an incorrect answer.
 + Exploring Krypto (Order of Operations) + : Krypto is a game in which a target number is drawn from a special deck, then five more numbers are drawn, which are then manipulated using any of the 4 standard arithmetic operations to obtain the target number. This game can contribute to develop number sense, computational skills, and better understanding of the orders of operation.<br />(from NCTM Illuminations)
 + Order of Operations Bingo + : Students will evaluate arithmetic expressions for the equivalent answers, which correspond to numbers on Bingo sheets handed out by the teacher.<br />This activity's goal is to strengthen the students' understanding of the order of operations for addition, subtraction, multiplication, and division, rather than applying the acronym PEMDAS. Students can be confused by the fact that in the acronym multiplication comes before division, and addition before subtraction. They should be brought to understand that when moving left to right, the precedence is equal for both components of each of these groups.
 + Everything Balances Out in the End: Balancing Algebraic Understanding + : This lesson focuses on simplification of numerical expressions using a pan balance applet. The <a target="_blank" href="http://illuminations.nctm.org/Activity.aspx?id=3530">Pan Balance  Numbers</a> applet will allow students to practice order of operations by having them input equivalencies (which the module will record in the table on the right) and by selecting one operation at a time, they will come to see algebraic logic in their simplifications.
 + Mathematics Standards Unpacked: Grade Five + : <p>This document provides descriptions and examples of what each Mathematics Florida Standard means a Grade Five student will know, understand, and be able to do. This "unpacking" of the standards provides instructional guidelines and was developed to assist North Carolina educators teaching Mathematics (Standard Course of Study).</p>
 + Order of Operations Quiz + : <p>In this activity, students practice solving algebraic expressions using order of operations. The applet records their score so the student can track their progress. This activity allows students to practice applying the order of operations when solving problems. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.</p>
 + Using the Laws of Arithmetic + : This lesson unit helps teachers assess how students perform arithmetic operations, write and evaluate numerical expression s from diagrammatic representations, apply the distributive and commutative properties, and find areas of compound rectangles. The time for the lesson is broken into a 15 minute prelesson task, an 80 minute lesson (or two 40 minute lessons), and a 15 minute follow up lesson or homework. Individual students will need a copy of the two tasks, a miniwhiteboard, a pen, and an eraser. Each small group will need cutup copies of the card sets, a large sheet of postersized paper, and a glue stick.
 + Watch Out for Parentheses 1 + : <p>This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have differing results due to placement of parentheses. This type of problem helps students to see structure in numerical expressions. In later grades they will be working with similar ideas in the context of seeing and using structure in algebraic expressions.</p>
 + Bowling for Numbers + : <p>The purpose of this game is to help students think flexibly about numbers and operations and to record multiple operations using proper notation. Students eager to knock down all of the pins quickly develop patterns in their expressions. They may reuse parts of an expression, perhaps changing just the final operation.</p>
 + Fly Runners Order of Operations MEA + : This MEA is designed so that students will practice knowledge learned from Order of Operations. In the process, students will analyze marketing and advertising data in order to help Fly Runners Running Shoes choose the appropriate magazine to advertise with.
 + Please Excuse My Dear Aunt Sally + : <p>The students will learn and use the order of operations. In groups, the students will work together to discover the importance of following stepbystep instructions and apply that knowledge in solving algebraic equations by correctly using the order of operations. Students should accurately use the mathematical steps of the PEMDAS model to solve mathematical expressions.</p>
 + Place The Parentheses + : Students are given an equation and asked to place parentheses within the equation to make the equation true.
 + With and Without Parentheses + : Students consider two different yet similar equations and determine if they are true.
 + Evaluating Expressions + : Students are asked to evaluate two similar expressions and explain why the answers are different.
 + More Expressions + : Students are asked to insert parentheses into an expression in two different ways, evaluate each way, and explain why the answers are different.
2 Student Resources
 Order of Operations Quiz:
In this activity, students practice solving algebraic expressions using order of operations. The applet records their score so the student can track their progress. This activity allows students to practice applying the order of operations when solving problems. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.
 Watch Out for Parentheses 1:
This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have differing results due to placement of parentheses. This type of problem helps students to see structure in numerical expressions. In later grades they will be working with similar ideas in the context of seeing and using structure in algebraic expressions.
2 Parent Resources
 Watch Out for Parentheses 1:
This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have differing results due to placement of parentheses. This type of problem helps students to see structure in numerical expressions. In later grades they will be working with similar ideas in the context of seeing and using structure in algebraic expressions.
 Bowling for Numbers:
The purpose of this game is to help students think flexibly about numbers and operations and to record multiple operations using proper notation. Students eager to knock down all of the pins quickly develop patterns in their expressions. They may reuse parts of an expression, perhaps changing just the final operation.
Don’t … Sort clusters from Major to Supporting, and then teach them in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
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