Performance Task: Order of Operations Treasure Hunt by Tabatha Burcher
|
|
- Ethan Carroll
- 7 years ago
- Views:
Transcription
1 Performance Task: Order of Operations Treasure Hunt by Tabatha Burcher In this lesson students will review order of operations. Students will solve numerical expressions using order of operations. Students will write a simple expression to share with a partner. Students will explain in their journals how to solve a simple expression that they have created. STANDARDS FOR MATHEMATICAL CONTENT Write and interpret numerical expressions. MCC5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. MCC5.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 ( ) is three times as large as , without having to calculate the indicated sum or product. STANDARDS FOR MATHEMATICAL PRACTICE 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. BACKGROUND KNOWLEDGE Understanding the correct order of steps when performing order of operations problems is important in completing this task. These skills help us to build our understanding of numerical equations with the use of parenthesis, exponents, multiplication, division, addition, and subtraction. COMMON MISCONCEPTIONS Students work the problem from left to right. Utilizing the correct order is imperative. The acrostic Please Excuse My Dear Aunt Sally helps students remember to use parenthesis first, then exponents, then multiplication and/or division and finally addition and/or subtraction. Once completing the exponents step, students work all multiplication and then all division. Multiplication and/or division are one step. Students should work from left to right solving whichever multiplication or division problem arises. Students work all addition and then all subtraction. As with multiplication and division, addition and/or subtraction is one step. They should be worked out from left to right. ESSENTIAL QUESTIONS How can an expression be written given a set value? How can expressions be evaluated?
2 How can I effectively explain my mathematical thinking and reasoning to others? How can I use cues to remind myself of the order of steps to take in a multi-step expression? How can we simplify expressions? Why is it important to follow an order of operations? MATERIALS Answer/Question cards in varying colors Problem solving sheets in varying colors Answer keys in varying colors Treasure Journals Pencils School or classroom map Parents/volunteers GROUPING Individual/Partner/Small Group task TASK DESCRIPTION, DEVELOPMENT AND DISCUSSION In this task students will work with order of operations to solve numerical expressions. COMMENTS This activity can be contained to the classroom or be spread out at locations around the school that will not disturb other teachers or students. To introduce this task review as a large group the correct order when using order of operations, reminding students of the acrostic, Please Excuse My Dear Aunt Sally to help students remember to use parenthesis first, then exponents, then multiplication and/or division and finally addition and/or subtraction. Before starting this task o Draw a map of your classroom or school, labeling important features such as door, window, teacher s desk, classroom numbers, cafeteria, etc. o Hide the treasure somewhere in your classroom. It can be anything you like. o Place answer/question cards around the classroom or school. TASK Each student will receive a colored worksheet. The colors will allow for the differentiated questions. The color of the worksheet will match the color of the question cards the students will look for. Students will solve the first expression on their own. If questions are posted in the classroom, students will choose a partner with the same color worksheet to work with. If questions are posted around the school, students will work in small groups with all students who have the same color card. They will be supervised by a parent/volunteer who will carry the map and an answer key. Students will compare their solution with peer(s) to verify that their answer is correct. They will discuss and correct any mistakes before moving on to find the next clue (which is their answer). Once the answer is verified, students will move on to find the card or room number that matches the answer.
3 Continue solving until question #7. Question 7 says to write your own expression for 335. Answer 335 is where they will find the treasure. If they are moving around the school, make the solution for #7 be your classroom number. That is where they will find the treasure. The answer to question #8 is whatever you decide to have for your treasure. Once each student has a piece of treasure, have them take out their journals and answer the following: o Write the expression you created for question #7. Explain how to solve using order of operations. Show each step. FORMATIVE ASSESSMENT QUESTIONS Why did you do the parenthesis first in the task? What will you do to try to figure out if the answer given is correct? How will you demonstrate that it is correct? How will you convince your partner when you think her answer is incorrect? What strategies are you using to analyze the given problems? What cues are you using to recognize the correct order of operations? DIFFERENTIATION Extension Have students use the worksheet with question #1: 3 + ( ) x =. Questions on this sheet are more advanced. Intervention Have students use the worksheet with question #1: (4 x 5 + 6) =. Questions on this sheet are less difficult. Parent/volunteer for this group can help guide problem solving as needed.
4 START: Group 1: We will now begin our Pirate Treasure Hunt! Good Luck! 20 2 (75 x 2) + 2 = On Level Difficulty (4 x 5 2 ) = (8 2 2 x 3) (50 2) = (2 x 10 2 ) =
5 (48 24) = x 11 2 (48 2) = 218 Write an equation that equals 335. Have your partner solve it! 335 (or homeroom teacher s room number) What kind of bootie does a pirate steal from a pilgrim?
6 Name Order of Operations Treasure Hunt Directions: 1. Solve the Start question and write the answer in box To find the next question, you have to hunt for the classroom number that matches the answer in box 1. Hint: If you get to the classroom and there s not another clue there, you need to re-work the problem. 3. Write down each question and answer in the boxes below then go on to the next stop in your hunt. 4. You will know you ve found the last answer when you reach the Pirate s Treasure! Start A pirate has stolen your treasure! Quick! Go find it! 20 2 (75 x 2) + 2 = Question 2: Answer 1: Question 3 Answer 2: Question 4: Answer 3: Question 5: Answer 4: Question 6: Answer 5: Question 7: Answer 6: Question 8: Answer 7: Answer 8:
7 START: Group 2: We will now begin our Pirate Treasure Hunt! Good Luck! Intervention (4 x 5 + 6) = 50 x 4 + (5 x 4) 2 = 218 (2 x 10 2 ) = ( ) =
8 (75 x 2) + 2 = (20 x 5) = 119 Write an equation that equals 335. Have your partner solve it! 335 (or homeroom teacher s room number) What kind of bootie does a pirate steal from a pilgrim?
9 Name Order of Operations Treasure Hunt Directions: 1. Solve the Start question and write the answer in box To find the next question, you have to hunt for the classroom number that matches the answer in box 1. Hint: If you get to the classroom and there s not another clue there, you need to re-work the problem. 3. Write down each question and answer in the boxes below then go on to the next stop in your hunt. 4. You will know you ve found the last answer when you reach the Pirate s Treasure! Start A pirate has stolen your treasure! Quick! Go find it! (4 x 5 + 6) = Question 2: Answer 1: Question 3 Answer 2: Question 4: Answer 3: Question 5: Answer 4: Question 6: Answer 5: Question 7: Answer 6: Question 8: Answer 7: Answer 8:
10 Extension START: Group 3: We will now begin our Pirate Treasure Hunt! Good Luck! 3 + ( ) x = (48 24) = x (48 2) = (8 2 2 x 3) /2 =
11 = 230 2(5 3 ) + 2 = 252 Write an equation that equals 335. Have your partner solve it! 335 ( or homeroom teacher s room number) What kind of bootie does a pirate steal from a pilgrim?
12 Name Order of Operations Treasure Hunt Directions: 1. Solve the Start question and write the answer in box To find the next question, you have to hunt for the classroom number that matches the answer in box 1. Hint: If you get to the classroom and there s not another clue there, you need to re-work the problem. 3. Write down each question and answer in the boxes below then go on to the next stop in your hunt. 4. You will know you ve found the last answer when you reach the Pirate s Treasure! Start A pirate has stolen your treasure! Quick! Go find it! 3 + ( ) x = Question 2: Answer 1: Question 3 Answer 2: Question 4: Answer 3: Question 5: Answer 4: Question 6: Answer 5: Question 7: Answer 6: Question 8: Answer 7: Answer 8:
13 Order of Operations Treasure Hunt Answer Key Intervention On Level Extension Question (4 x 5 + 6) = 20 2 (75 x 2) + 2 = 3 + ( ) x = Answer Question 2 50 x 4 + (5 x 4) 2 = 2 (4 x 5 2 ) = (48 24) = Answer Question 3 (2 x 10 2 ) = 6 + (8 2 2 x 3) (50 2 x (48 2) = 2) = Answer Question 4 8 ( ) = (2 x 10 2 ) = 6 + (8 2 2 x 3) /2 = Answer Question (75 x 2) + 2 = (48 24) = = Answer Question (20 x 5) = 2 x 11 2 (48 2) = 2(5 3 ) + 2 = Answer Question 7 Write an equation that equals 335. Have your partner solve it! Write an equation that equals 335. Have your partner solve it! Write an equation that equals 335. Have your partner solve it! Answer Question 8 Answer 8 What kind of bootie does a pirate steal from a pilgrim? What kind of bootie does a pirate steal from a pilgrim? What kind of bootie does a pirate steal from a pilgrim? Whatever the treasure is Whatever the treasure is Whatever the treasure is
Order of Operations More Essential Practice
Order of Operations More Essential Practice We will be simplifying expressions using the order of operations in this section. Automatic Skill: Order of operations needs to become an automatic skill. Failure
More informationSolving Systems of Linear Equations Substitutions
Solving Systems of Linear Equations Substitutions Outcome (lesson objective) Students will accurately solve a system of equations algebraically using substitution. Student/Class Goal Students thinking
More informationPre-Algebra - Order of Operations
0.3 Pre-Algebra - Order of Operations Objective: Evaluate expressions using the order of operations, including the use of absolute value. When simplifying expressions it is important that we simplify them
More informationScaffolding Task: Angle Tangle
Fourth Grade Mathematics Unit Scaffolding Task: Angle Tangle STANDARDS FOR MATHEMATICAL CONTENT MCC4.MD.5. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint,
More information1.6 The Order of Operations
1.6 The Order of Operations Contents: Operations Grouping Symbols The Order of Operations Exponents and Negative Numbers Negative Square Roots Square Root of a Negative Number Order of Operations and Negative
More informationNo Solution Equations Let s look at the following equation: 2 +3=2 +7
5.4 Solving Equations with Infinite or No Solutions So far we have looked at equations where there is exactly one solution. It is possible to have more than solution in other types of equations that are
More informationPractice Task: The Factor Game
Practice Task: The Factor Game This task requires students to demonstrate understanding of factors and multiples of whole numbers. STANDARDS FOR MATHEMATICAL CONTENT MCC4.OA.4 Find all factor pairs for
More informationTime needed. Before the lesson Assessment task:
Formative Assessment Lesson Materials Alpha Version Beads Under the Cloud Mathematical goals This lesson unit is intended to help you assess how well students are able to identify patterns (both linear
More informationSolving Systems of Linear Equations Substitutions
Solving Systems of Linear Equations Substitutions Outcome (learning objective) Students will accurately solve a system of equations algebraically using substitution. Student/Class Goal Students thinking
More informationLesson 4. Factors and Multiples. Objectives
Student Name: Date: Contact Person Name: Phone Number: Lesson 4 Factors and Multiples Objectives Understand what factors and multiples are Write a number as a product of its prime factors Find the greatest
More informationTennessee Department of Education. Task: Sally s Car Loan
Tennessee Department of Education Task: Sally s Car Loan Sally bought a new car. Her total cost including all fees and taxes was $15,. She made a down payment of $43. She financed the remaining amount
More informationCreating Basic Excel Formulas
Creating Basic Excel Formulas Formulas are equations that perform calculations on values in your worksheet. Depending on how you build a formula in Excel will determine if the answer to your formula automatically
More information3.1. RATIONAL EXPRESSIONS
3.1. RATIONAL EXPRESSIONS RATIONAL NUMBERS In previous courses you have learned how to operate (do addition, subtraction, multiplication, and division) on rational numbers (fractions). Rational numbers
More informationBeads Under the Cloud
Beads Under the Cloud Intermediate/Middle School Grades Problem Solving Mathematics Formative Assessment Lesson Designed and revised by Kentucky Department of Education Mathematics Specialists Field-tested
More informationPlease Excuse My Dear Aunt Sally
Really Good Stuff Activity Guide Order of Operations Poster Congratulations on your purchase of the Really Good Stuff Order of Operations Poster a colorful reference poster to help your students remember
More informationSupplemental Worksheet Problems To Accompany: The Pre-Algebra Tutor: Volume 1 Section 9 Order of Operations
Supplemental Worksheet Problems To Accompany: The Pre-Algebra Tutor: Volume 1 Please watch Section 9 of this DVD before working these problems. The DVD is located at: http://www.mathtutordvd.com/products/item66.cfm
More informationLesson 4: Convert Fractions, Review Order of Operations
Lesson 4: Convert Fractions, Review Order of Operations LESSON 4: Convert Fractions, Do Order of Operations Weekly Focus: fractions, decimals, percent, order of operations Weekly Skill: convert, compute
More informationSolving Systems of Linear Equations Elimination (Addition)
Solving Systems of Linear Equations Elimination (Addition) Outcome (lesson objective) Students will accurately solve systems of equations using elimination/addition method. Student/Class Goal Students
More informationTom wants to find two real numbers, a and b, that have a sum of 10 and have a product of 10. He makes this table.
Sum and Product This problem gives you the chance to: use arithmetic and algebra to represent and analyze a mathematical situation solve a quadratic equation by trial and improvement Tom wants to find
More informationSample Fraction Addition and Subtraction Concepts Activities 1 3
Sample Fraction Addition and Subtraction Concepts Activities 1 3 College- and Career-Ready Standard Addressed: Build fractions from unit fractions by applying and extending previous understandings of operations
More informationSolving Rational Equations
Lesson M Lesson : Student Outcomes Students solve rational equations, monitoring for the creation of extraneous solutions. Lesson Notes In the preceding lessons, students learned to add, subtract, multiply,
More informationDirect Translation is the process of translating English words and phrases into numbers, mathematical symbols, expressions, and equations.
Section 1 Mathematics has a language all its own. In order to be able to solve many types of word problems, we need to be able to translate the English Language into Math Language. is the process of translating
More informationExponential Notation and the Order of Operations
1.7 Exponential Notation and the Order of Operations 1.7 OBJECTIVES 1. Use exponent notation 2. Evaluate expressions containing powers of whole numbers 3. Know the order of operations 4. Evaluate expressions
More informationUsing Patterns of Integer Exponents
8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions. How can you develop and use the properties of integer exponents? The table below shows powers of
More informationHow Old Are They? This problem gives you the chance to: form expressions form and solve an equation to solve an age problem. Will is w years old.
How Old Are They? This problem gives you the chance to: form expressions form and solve an equation to solve an age problem Will is w years old. Ben is 3 years older. 1. Write an expression, in terms of
More information2.3. Finding polynomial functions. An Introduction:
2.3. Finding polynomial functions. An Introduction: As is usually the case when learning a new concept in mathematics, the new concept is the reverse of the previous one. Remember how you first learned
More informationSimple Examples. This is the information that we are given. To find the answer we are to solve an equation in one variable, x.
Worksheet. Solving Equations in One Variable Section 1 Simple Examples You are on your way to Brisbane from Sydney, and you know that the trip is 1100 km. You pass a sign that says that Brisbane is now
More informationMultiplying and Dividing Fractions
Multiplying and Dividing Fractions 1 Overview Fractions and Mixed Numbers Factors and Prime Factorization Simplest Form of a Fraction Multiplying Fractions and Mixed Numbers Dividing Fractions and Mixed
More informationThe Order of Operations Redesigned. Rachel McCloskey Dr. Valerie Faulkner
+ The Order of Operations Redesigned Rachel McCloskey Dr. Valerie Faulkner + Please simplify and answer the following: n 23 2 + 12 8 = n 4 + 3 x 7 - (5 + 2) 3 = n Why do we have the order of operations?
More informationCurriculum Alignment Project
Curriculum Alignment Project Math Unit Date: Unit Details Title: Solving Linear Equations Level: Developmental Algebra Team Members: Michael Guy Mathematics, Queensborough Community College, CUNY Jonathan
More informationSection 1.5 Exponents, Square Roots, and the Order of Operations
Section 1.5 Exponents, Square Roots, and the Order of Operations Objectives In this section, you will learn to: To successfully complete this section, you need to understand: Identify perfect squares.
More informationRepresenting the Laws of Arithmetic
CONCEPT DEVELOPMENT Mathematics Assessment Project CLASSROOM CHALLENGES A Formative Assessment Lesson Representing the Laws of Arithmetic Mathematics Assessment Resource Service University of Nottingham
More informationTennessee Department of Education
Tennessee Department of Education Task: Pool Patio Problem Algebra I A hotel is remodeling their grounds and plans to improve the area around a 20 foot by 40 foot rectangular pool. The owner wants to use
More informationPEMDAS. Reflecting. When I asked my preservice elementary teachers what order
Reflecting By Kyungsoon Jeon PEMDAS Forgo rule-driven math instruction. Use these helpful tips to teach the order of operations. When I asked my preservice elementary teachers what order of operations
More informationAlgebra I Teacher Notes Expressions, Equations, and Formulas Review
Big Ideas Write and evaluate algebraic expressions Use expressions to write equations and inequalities Solve equations Represent functions as verbal rules, equations, tables and graphs Review these concepts
More informationDecomposing Numbers (Operations and Algebraic Thinking)
Decomposing Numbers (Operations and Algebraic Thinking) Kindergarten Formative Assessment Lesson Designed and revised by Kentucky Department of Education Mathematics Specialists Field-tested by Kentucky
More information2.6 Exponents and Order of Operations
2.6 Exponents and Order of Operations We begin this section with exponents applied to negative numbers. The idea of applying an exponent to a negative number is identical to that of a positive number (repeated
More informationFractions and Linear Equations
Fractions and Linear Equations Fraction Operations While you can perform operations on fractions using the calculator, for this worksheet you must perform the operations by hand. You must show all steps
More informationPre-Calculus Unit Plan: Vectors and their Applications. Dr. Mohr-Schroeder. Fall 2012. University of Kentucky. Jessica Doering.
Pre-Calculus Unit Plan: Vectors and their Applications Dr. Mohr-Schroeder Fall 2012 University of Kentucky Jessica Doering Andrea Meadors Stephen Powers Table of Contents Narrative and Overview of Unit
More informationGeorgia Standards of Excellence Curriculum Frameworks
Georgia Standards of Excellence Curriculum Frameworks Mathematics GSE Fifth Grade Unit 1: Order of Operations & Whole Numbers These materials are Mathematics for nonprofit GSE educational Fifth Grade purposes
More informationAlgebraic expressions are a combination of numbers and variables. Here are examples of some basic algebraic expressions.
Page 1 of 13 Review of Linear Expressions and Equations Skills involving linear equations can be divided into the following groups: Simplifying algebraic expressions. Linear expressions. Solving linear
More informationGRADE 5 SKILL VOCABULARY MATHEMATICAL PRACTICES Evaluate numerical expressions with parentheses, brackets, and/or braces.
Common Core Math Curriculum Grade 5 ESSENTIAL DOMAINS AND QUESTIONS CLUSTERS Operations and Algebraic Thinking 5.0A What can affect the relationship between numbers? round decimals? compare decimals? What
More informationExponents. Exponents tell us how many times to multiply a base number by itself.
Exponents Exponents tell us how many times to multiply a base number by itself. Exponential form: 5 4 exponent base number Expanded form: 5 5 5 5 25 5 5 125 5 625 To use a calculator: put in the base number,
More informationExpanding Expression Tool
Expanding Expression Tool Teacher Guide 1 Table of Contents Contents What is EET?... 3 Objectives & Clusters... 4 Lesson Plan... 5 Prerequisite Assessment... 7 Pre-Instructional Assessment... 10 List of
More informationGRADE 6 MATH: GROCERY SHOPPING AND THE QUILT OF A MATH TEACHER
GRADE 6 MATH: GROCERY SHOPPING AND THE QUILT OF A MATH TEACHER UNIT OVERVIEW This unit contains a curriculum- embedded Common Core aligned task and instructional supports. The task is embedded in a 2 3
More informationProblem of the Month: Perfect Pair
Problem of the Month: The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common Core State Standards:
More informationNEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS
NEW YORK STATE TEACHER CERTIFICATION EXAMINATIONS TEST DESIGN AND FRAMEWORK September 2014 Authorized for Distribution by the New York State Education Department This test design and framework document
More informationUsing Algebra Tiles from Polynomials to Factoring
Using Algebra Tiles from Polynomials to Factoring For more information about the materials you find in this packet, contact: Chris Mikles (888) 808-4276 mikles@cpm.org CPM Educational Program 203, all
More informationGRADE 6 MATH: RATIOS AND PROPORTIONAL RELATIONSHIPS
GRADE 6 MATH: RATIOS AND PROPORTIONAL RELATIONSHIPS UNIT OVERVIEW This 4-5 week unit focuses on developing an understanding of ratio concepts and using ratio reasoning to solve problems. TASK DETAILS Task
More informationSolving Linear Equations
Solving Linear Equations Lesson: Solving Linear Equations Length: 45 minutes Age or Grade Level Intended: High School - 9 th grade Academic Standard(s): A1.2.1 Solve linear equations Performance Objective(s):
More informationWarm-Up. Today s Objective/Standards: Students will use the correct order of operations to evaluate algebraic expressions/ Gr. 6 AF 1.
Warm-Up CST/CAHSEE: Gr. 6 AF 1.4 Simplify: 8 + 8 2 + 2 A) 4 B) 8 C) 10 D) 14 Review: Gr. 7 NS 1.2 Complete the statement using ,. Explain. 2 5 5 2 How did students get the other answers? Other: Gr.
More informationWentzville School District Algebra 1: Unit 8 Stage 1 Desired Results
Wentzville School District Algebra 1: Unit 8 Stage 1 Desired Results Unit Title: Quadratic Expressions & Equations Course: Algebra I Unit 8 - Quadratic Expressions & Equations Brief Summary of Unit: At
More informationPerformance Assessment Task Bikes and Trikes Grade 4. Common Core State Standards Math - Content Standards
Performance Assessment Task Bikes and Trikes Grade 4 The task challenges a student to demonstrate understanding of concepts involved in multiplication. A student must make sense of equal sized groups of
More informationAccommodated Lesson Plan on Solving Systems of Equations by Elimination for Diego
Accommodated Lesson Plan on Solving Systems of Equations by Elimination for Diego Courtney O Donovan Class: Algebra 1 Day #: 6-7 Grade: 8th Number of Students: 25 Date: May 12-13, 2011 Goal: Students will
More informationInteger Instruction That Works: Best Practices for Instruction of Integers for All Students Including LEP Learners Math, LEP Grades 5-8
Integer Instruction That Works: Best Practices for Instruction of Integers for All Students Including LEP Learners Math, LEP Grades 5-8 Frustrated by the fact that your students incorrectly apply the rule
More informationGeorgia Standards of Excellence Curriculum Frameworks. Mathematics. GSE Algebra II/Advanced Algebra Unit 1: Quadratics Revisited
Georgia Standards of Excellence Curriculum Frameworks Mathematics GSE Algebra II/Advanced Algebra Unit 1: Quadratics Revisited These materials are for nonprofit educational purposes only. Any other use
More informationhttps://williamshartunionca.springboardonline.org/ebook/book/27e8f1b87a1c4555a1212b...
of 19 9/2/2014 12:09 PM Answers Teacher Copy Plan Pacing: 1 class period Chunking the Lesson Example A #1 Example B Example C #2 Check Your Understanding Lesson Practice Teach Bell-Ringer Activity Students
More informationSolutions of Linear Equations in One Variable
2. Solutions of Linear Equations in One Variable 2. OBJECTIVES. Identify a linear equation 2. Combine like terms to solve an equation We begin this chapter by considering one of the most important tools
More information5 th Grade Common Core State Standards. Flip Book
5 th Grade Common Core State Standards Flip Book This document is intended to show the connections to the Standards of Mathematical Practices for the content standards and to get detailed information at
More informationGRADE 5 SUPPLEMENT. Set A2 Number & Operations: Primes, Composites & Common Factors. Includes. Skills & Concepts
GRADE 5 SUPPLEMENT Set A Number & Operations: Primes, Composites & Common Factors Includes Activity 1: Primes & Common Factors A.1 Activity : Factor Riddles A.5 Independent Worksheet 1: Prime or Composite?
More informationHow To Factor Quadratic Trinomials
Factoring Quadratic Trinomials Student Probe Factor Answer: Lesson Description This lesson uses the area model of multiplication to factor quadratic trinomials Part 1 of the lesson consists of circle puzzles
More informationFractions as Numbers INTENSIVE INTERVENTION. National Center on. at American Institutes for Research
National Center on INTENSIVE INTERVENTION at American Institutes for Research Fractions as Numbers 000 Thomas Jefferson Street, NW Washington, DC 0007 E-mail: NCII@air.org While permission to reprint this
More informationSolving Systems of Linear Equations Graphing
Solving Systems of Linear Equations Graphing Outcome (learning objective) Students will accurately solve a system of equations by graphing. Student/Class Goal Students thinking about continuing their academic
More informationVieta s Formulas and the Identity Theorem
Vieta s Formulas and the Identity Theorem This worksheet will work through the material from our class on 3/21/2013 with some examples that should help you with the homework The topic of our discussion
More informationSection 2: Differentiation in practice in the curriculum
Section 2: Differentiation in practice in the curriculum Using differentiation to achieve pace and variety Differentiation is about teaching and learning styles and teachers should be using all three types
More informationMathematics Task Arcs
Overview of Mathematics Task Arcs: Mathematics Task Arcs A task arc is a set of related lessons which consists of eight tasks and their associated lesson guides. The lessons are focused on a small number
More informationUsing the Area Model to Teach Multiplying, Factoring and Division of Polynomials
visit us at www.cpm.org Using the Area Model to Teach Multiplying, Factoring and Division of Polynomials For more information about the materials presented, contact Chris Mikles mikles@cpm.org From CCA
More information(Advanced Preparation)
1 NCTM CAEP Standards (2012) Elementary Mathematics Specialist (Advanced Preparation) Standard 1: Content Knowledge Effective elementary mathematics specialists demonstrate and apply knowledge of major
More informationAlgebra II Unit Number 4
Title Polynomial Functions, Expressions, and Equations Big Ideas/Enduring Understandings Applying the processes of solving equations and simplifying expressions to problems with variables of varying degrees.
More informationThe Order of Operations Redesigned. Rachel McCloskey Dr. Valerie Faulkner
+ The Order of Operations Redesigned Rachel McCloskey Dr. Valerie Faulkner + Please excuse my dear Aunt Sally from your classroom n Why? n She confuses students about the order to carry out multiplication/division
More informationMathematical goals. Starting points. Materials required. Time needed
Level A3 of challenge: C A3 Creating and solving harder equations equations Mathematical goals Starting points Materials required Time needed To enable learners to: create and solve equations, where the
More informationCurrent California Math Standards Balanced Equations
Balanced Equations Current California Math Standards Balanced Equations Grade Three Number Sense 1.0 Students understand the place value of whole numbers: 1.1 Count, read, and write whole numbers to 10,000.
More informationPrime and Composite Numbers
Prime and Composite Numbers Student Probe Is 27 a prime number or a composite number? Is 17 a prime number or a composite number? Answer: 27 is a composite number, because it has factors other than 1 and
More informationClick on the links below to jump directly to the relevant section
Click on the links below to jump directly to the relevant section What is algebra? Operations with algebraic terms Mathematical properties of real numbers Order of operations What is Algebra? Algebra is
More informationGrade Level Year Total Points Core Points % At Standard 9 2003 10 5 7 %
Performance Assessment Task Number Towers Grade 9 The task challenges a student to demonstrate understanding of the concepts of algebraic properties and representations. A student must make sense of the
More informationTask: Representing the National Debt 7 th grade
Tennessee Department of Education Task: Representing the National Debt 7 th grade Rachel s economics class has been studying the national debt. The day her class discussed it, the national debt was $16,743,576,637,802.93.
More informationOverview. Essential Questions. Grade 4 Mathematics, Quarter 4, Unit 4.1 Dividing Whole Numbers With Remainders
Dividing Whole Numbers With Remainders Overview Number of instruction days: 7 9 (1 day = 90 minutes) Content to Be Learned Solve for whole-number quotients with remainders of up to four-digit dividends
More informationPearson Algebra 1 Common Core 2015
A Correlation of Pearson Algebra 1 Common Core 2015 To the Common Core State Standards for Mathematics Traditional Pathways, Algebra 1 High School Copyright 2015 Pearson Education, Inc. or its affiliate(s).
More informationInteger Operations. Overview. Grade 7 Mathematics, Quarter 1, Unit 1.1. Number of Instructional Days: 15 (1 day = 45 minutes) Essential Questions
Grade 7 Mathematics, Quarter 1, Unit 1.1 Integer Operations Overview Number of Instructional Days: 15 (1 day = 45 minutes) Content to Be Learned Describe situations in which opposites combine to make zero.
More informationExam Preparation and Memory Strategies
Counselling & Learning Support North Vancouver Campus Student Success Workshops Exam Preparation and Memory Strategies BR 267 604.984.1744 www.capilanou.ca/services Prepared by: Alison Parry, Learning
More informationContents. Sample worksheet from www.mathmammoth.com
Contents Introduction... 4 Warmup: Mental Math 1... 8 Warmup: Mental Math 2... 10 Review: Addition and Subtraction... 12 Review: Multiplication and Division... 15 Balance Problems and Equations... 19 More
More informationPAYCHEX, INC. BASIC BUSINESS MATH TRAINING MODULE
PAYCHEX, INC. BASIC BUSINESS MATH TRAINING MODULE 1 Property of Paychex, Inc. Basic Business Math Table of Contents Overview...3 Objectives...3 Calculator...4 Basic Calculations...6 Order of Operation...9
More informationFactoring Quadratic Trinomials
Factoring Quadratic Trinomials Student Probe Factor x x 3 10. Answer: x 5 x Lesson Description This lesson uses the area model of multiplication to factor quadratic trinomials. Part 1 of the lesson consists
More informationSummer Assignment for incoming Fairhope Middle School 7 th grade Advanced Math Students
Summer Assignment for incoming Fairhope Middle School 7 th grade Advanced Math Students Studies show that most students lose about two months of math abilities over the summer when they do not engage in
More informationBEFORE DURING AFTER PERSEVERE. MONITOR my work. ASK myself, Does this make sense? CHANGE my plan if it isn t working out
Make sense of problems and persevere in solving them. Mathematical Practice When presented with a problem, I can make a plan, carry out my plan, and evaluate its success. BEFORE DURING AFTER EXPLAIN the
More informationThis is a square root. The number under the radical is 9. (An asterisk * means multiply.)
Page of Review of Radical Expressions and Equations Skills involving radicals can be divided into the following groups: Evaluate square roots or higher order roots. Simplify radical expressions. Rationalize
More informationMAT 116. Algebra 1A. Version 5 12/15/07 MAT 116
- MAT 116 Algebra 1A Version 5 12/15/07 MAT 116 Program Council The Academic Program Councils for each college oversee the design and development of all University of Phoenix curricula. Council members
More informationCalculate Highest Common Factors(HCFs) & Least Common Multiples(LCMs) NA1
Calculate Highest Common Factors(HCFs) & Least Common Multiples(LCMs) NA1 What are the multiples of 5? The multiples are in the five times table What are the factors of 90? Each of these is a pair of factors.
More informationHigh School Algebra Reasoning with Equations and Inequalities Solve systems of equations.
Performance Assessment Task Graphs (2006) Grade 9 This task challenges a student to use knowledge of graphs and their significant features to identify the linear equations for various lines. A student
More informationGeorgia Standards of Excellence Frameworks. Mathematics. GSE Grade 7 Unit 2: Expressions and Equations
Georgia Standards of Excellence Frameworks Mathematics GSE Grade 7 Unit 2: Expressions and Equations These materials are for nonprofit educational purposes only. Any other use may constitute copyright
More information7. Solving Linear Inequalities and Compound Inequalities
7. Solving Linear Inequalities and Compound Inequalities Steps for solving linear inequalities are very similar to the steps for solving linear equations. The big differences are multiplying and dividing
More informationClassroom Behavior Management Plan
Haffner 1 Classroom Behavior Management Plan Daniel Haffner November 20, 2009 EDUC 348 Haffner 2 Philosophy of Classroom Management Classroom management is a course taught at every teacher college across
More informationMULTIPLICATION AND DIVISION OF REAL NUMBERS In this section we will complete the study of the four basic operations with real numbers.
1.4 Multiplication and (1-25) 25 In this section Multiplication of Real Numbers Division by Zero helpful hint The product of two numbers with like signs is positive, but the product of three numbers with
More informationSection 4.1 Rules of Exponents
Section 4.1 Rules of Exponents THE MEANING OF THE EXPONENT The exponent is an abbreviation for repeated multiplication. The repeated number is called a factor. x n means n factors of x. The exponent tells
More informationProblem of the Month: Cutting a Cube
Problem of the Month: The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common Core State Standards:
More information1. I have 4 sides. My opposite sides are equal. I have 4 right angles. Which shape am I?
Which Shape? This problem gives you the chance to: identify and describe shapes use clues to solve riddles Use shapes A, B, or C to solve the riddles. A B C 1. I have 4 sides. My opposite sides are equal.
More informationCORE Assessment Module Module Overview
CORE Assessment Module Module Overview Content Area Mathematics Title Speedy Texting Grade Level Grade 7 Problem Type Performance Task Learning Goal Students will solve real-life and mathematical problems
More informationBuilding Concepts: Dividing a Fraction by a Whole Number
Lesson Overview This TI-Nspire lesson uses a unit square to explore division of a unit fraction and a fraction in general by a whole number. The concept of dividing a quantity by a whole number, n, can
More information1 BPS Math Year at a Glance (Adapted from A Story of Units Curriculum Maps in Mathematics P-5)
Grade 5 Key Areas of Focus for Grades 3-5: Multiplication and division of whole numbers and fractions-concepts, skills and problem solving Expected Fluency: Multi-digit multiplication Module M1: Whole
More informationUsing Algebra Tiles for Adding/Subtracting Integers and to Solve 2-step Equations Grade 7 By Rich Butera
Using Algebra Tiles for Adding/Subtracting Integers and to Solve 2-step Equations Grade 7 By Rich Butera 1 Overall Unit Objective I am currently student teaching Seventh grade at Springville Griffith Middle
More information