7 th Grade Integer Arithmetic 7Day Unit Plan by Brian M. Fischer Lackawanna Middle/High School


 Arline Leonard
 1 years ago
 Views:
Transcription
1 7 th Grade Integer Arithmetic 7Day Unit Plan by Brian M. Fischer Lackawanna Middle/High School Page 1 of 20
2 Table of Contents Unit Objectives NCTM Standards NYS Standards....3 Resources and Materials.. 3 Overview of daily objectives.. 4 Day Day Day Day Day Day Day Page 2 of 20
3 Unit Objectives  Students will be able to add, subtract, multiply, and divide integers. use algebra tiles to model the addition and subtraction of integers. add and subtract integers using an interactive internet site that simulates algebra tiles. find the average of a set of integers. NCTM Standards for Grades 68 Number and Operations Standard Problem Solving Standard Reasoning and Proof Standard Communication Standard Connections Standard Representation Standard NYS Standards for Grades 78 Key Idea 1 Mathematical Reasoning Key Idea 3 Operations Key Idea 4 Modeling/Multiple Representations Key Idea 5 Measurement Key Idea 7 Patterns/Functions Resources & Materials Textbook: Middle School Math Course 2 by Foresman  Wesley, Supplemental worksheets from the Foresman Wesley textbook.. Algebra tiles minimum 10 yellow tile and 10 red tiles per student/pair. Computer lab with internet access. Students may work in pairs. Student worksheets. MATHO boards and MATHO problem cards. Scientific Calculator. Page 3 of 20
4 Overview of Daily Objectives Day 1 Students will understand the definition of additive inverse and the zero property of addition. be able to use algebra tiles to represent integer addition problems and determine their sums. develop rules for adding a pair of integers. Day 2 Students will be able to use an interactive internet site to represent integer addition problems with algebra tiles and determine their sums. be able to use an interactive internet site to represent integer subtraction problems with algebra tiles and determine their differences. Day 3 Students will be able to use algebra tiles to represent integer subtraction problems and determine their differences. rewrite integer subtraction problems as addition problems. Day 4 Students will be able understand the concept of a negative times a negative by using a visual aid. develop integer multiplication rules by developing patterns. Day 5 Students will be able to divide integers. Day 6 Students will be able to solve problems that involve finding the average of a set of integers. Day 7 Students will practice to integer arithmetic in a game format. Page 4 of 20
5 Day 1 Objective Students will be able to: Understand the definition of zero pairs and the Zero Property of Addition. Use algebra tiles to represent integer addition problems & determine their sums. Develop rules for adding a pair of integers. Materials algebra tiles, worksheets, overhead projector, algebra tiles for the overhead. Opening Activity Distribute worksheets. Have them copy the definitions of Additive Inverse and Zero Property of Addition. While they are doing this distribute the algebra tiles. Activity #1 Discuss the above definitions and zero pairs. Explain that a yellow tile represents +1 and a red tile represents 1. Demonstrate zero pairs using the tiles. Activity #2 Model worksheet problems 1 and 2 together and discuss question #3. Activity #3 Model worksheet problems 4 and 5 together and discuss. Activity #4 Have students model and solve problems 6 thru 9 on their own. Monitor their progress by observing. After they have completed the problems have them discuss their solutions with their group members. Students will then be selected to model and explain their solutions to the class using the overhead. Leave enough time to formalize the rules. Closing Activity Discuss the solution to question 10 and review the solution to question 3. Compare and contrast how to add integers with like and unlike signs. Collect the tiles. Homework page 453: 2, 618 even. Have them sketch algebra tiles. Page 5 of 20
6 Additive Inverse  Adding Integers The Zero Property of Addition  We will be using algebra tiles to model the addition of integers. Yellow tiles represent positive integers (unshaded squares in our diagrams). Red tiles represent negative integers (shaded squares in our diagrams). By the Zero Property of Addition, a yellow tile plus a red tile equals. 1. Use algebra tiles to model the addition problem (+5) + (+3). Sketch your model below. What is the sum of +5 and +3? 2. Use algebra tiles to model the addition problem (2) + (7). Sketch your model below. What is the sum of 2 and 7? 3. Describe how to find the sum of a pair of integers with like signs. 4. Write the addition problem for the model below. Circle the zero pairs, a positive and a negative tile paired up equals zero. What is the sum of the above model? Page 6 of 20
7 5. Write the addition problem for the model below. Circle the zero pairs, a positive and a negative chip paired up equals zero. What is the sum of the above model? 6. Use algebra tiles to find the sum of (+3) and (8). Show your model below. 7. Use algebra tiles to find the sum of (+5) and (2). Show your model below. 8. Use algebra tiles to find the sum of (6) and (3). Show your model below. 9. Use algebra tiles to find the sum of (6) and (+8). Show your model below. 10. Describe how to find the sum of a pair of integers with different signs. Page 7 of 20
8 Day 2 Objective Students will be able to: Use algebra tiles to represent integer addition/subtraction problems & determine their sums/differences. Materials computers connected to the internet and a video display so that the students can observe the teacher s interaction with the computer. Opening Activity Have the students seated at a computer in pairs and have them observe the teacher work with the algebra tiles on the computer. Go to the web site and go through 2 demonstration problems. Have this web site written on the chalkboard and/or stored in favorite places. Always check a web site prior to using it. Activity #1 Have the students access this website and solve some integer addition problems. Have them write these problems and their solutions on a sheet of paper. Let each student solve about 3 problems. Activity #2 Review the rules for adding integers. Activity #3 Go to the web site and go through 2 demonstration problems. Have this web site written on the chalkboard and/or stored in favorite places. Activity #4 Have the students access this website and solve some integer subtraction problems. Have them write these problems and their solutions on a sheet of paper. Let each student solve about 3 problems. Closing Activity Discuss integer subtraction. See if they made a connection to addition. Homework page 453: 2, even, 33, and 36. Page 8 of 20
9 Day 3 Objective Students will be able to: Use algebra tiles to represent integer subtraction & determine differences. Develop rules for subtracting a pair of integers. Materials algebra tiles, worksheets, overhead projector, algebra tiles for the overhead. Opening Activity Distribute worksheets and algebra tiles. Activity #1 Have students demonstrate problems 1 and 2 on the overhead. This should be extremely simple and take virtually no time. Activity #2 Model problem 3 on the overhead. Ask the students questions to recall the information they acquired yesterday. Activity #3 Have students do problems 4 and 5 by themselves. After a few minutes, have them check their answers and discuss their solutions with their partners. Select students to demonstrate their solutions on the overhead. Activity #4 Have students complete the chart in problem 6 and review their answers. Activity #4 Discuss question 7 and relate subtraction to addition. Closing Activity Have rewrite the subtraction problems (811) and review their answers. Collect the tiles and review the subtraction to addition rule. Homework page : 820 even, 32. Page 9 of 20
10 Subtracting Integers 1. Use algebra tiles to model the subtraction problem (+5)  (+3). Sketch your model below. Cross out the tiles that you are removing to represent the tiles being subtracted. What is the difference of +5 and +3? 2. Use algebra tiles to model the addition problem (5)  (2). Sketch your model below. What is the difference of 5 and 2? 3. Use algebra tiles to model the addition problem (+1)  (+3). Sketch your model below. What is the difference of +1 and +3? 4. Use algebra tiles to model the addition problem (3)  (5). Sketch your model below. What is the difference of 3 and 5? Page 10 of 20
11 5. Use algebra tiles to model the addition problem (+2)  (3). Sketch your model below. What is the difference of +2 and 3? 6. Use algebra tiles to find the sums and difference in the table below. (+1) + (6) = (4) + (1) = (1) + (+1) = (+2) + (+2) = (3) + (7) = (+1)  (+6) = (4)  (+1) = (1)  (1) = (+2)  (2) = (3)  (+7) = 7. Describe how to rewrite an integer subtraction problem as an integer addition problem. Rewrite each subtraction problem as an addition problem and evaluate (18) = (+18) = (18) = (+18) = Page 11 of 20
12 Objective Students will be able to: Day 4 Develop rules for multiplying a pair of integers. Materials worksheets, overhead projector, worksheet transparency. Opening Activity Distribute worksheet and have them complete quadrant of the times table. Activity #1 Answer questions 1 and 2 from the worksheet. Activity #2 Complete the 4 th quadrant of the times table together (transparency). Activity #3 Have students complete the 2 nd quadrant of the times table by themselves. Check on their work. Review their answers by asking each students a times problem in that quadrant and simultaneously place the correct answers on the transparency. Activity #4 Start the students on the 3 rd quadrant and let them finish it. Review their answers in a similar fashion and put answers on the transparency. Activity #5 Discuss and answer question 3. Closing Activity Create multiplication problems to reinforce the rules. Do a problem that involves the multiplication of three integers. Review the rules. Homework page 464: 416 even,24, and 26. Page 12 of 20
13 Page 13 of 20
14 Objective Students will be able to: Divide integers. Day 5 Materials none Opening Activity Have the students evaluate ( 2) 2, ( 2) 3, ( 2) 4, and ( 2 ) 5 about the definition of exponents.. Remind them Activity #1 Review their answers and discuss the pattern. Ask them what they think the signs would be for other powers of base 2. Activity #2 Review the rules of integer multiplication and tell them that these same rules apply to division. Activity #3 Have the students work problems odd on page 469. Have them check their answers with their group members. Review the answers in class. Activity #4 Have the students work on (8) + (+3) and (8) (3). Discuss their solutions and review the rules for addition and how to rewrite subtraction problems. Closing Activity Solve the problem 12/3 and 24/+8. Review the rules for dividing. Homework page 469: even. Page 14 of 20
15 Day 6 Objective Students will be able to: Find the average of a set of integers. Solve word problems with integers Materials worksheets, overhead projector, worksheet transparency. Opening Activity Have the students do these problems: , 30(29), (4)(8), and 64/(4). Activity #1 Have students display their work on the overhead and explain. Activity #2 Discuss the term mean/average. Find the average of a sample set of grades such as 82, 70, 94, and 98. Activity #3 Distribute the worksheet, Guided Problem solving 97. Select a student to read the problem. Answer questions 1 through 3 together. Activity #4 Have the students answer questions 4 through 7 by themselves. Monitor their progress. After a few minutes, let them discuss their solutions with their group members. Have a student display their work on the overhead and explain. Activity #5 Discuss question 8. Closing Activity Review the rules integer operations. Homework Solve another problem (located at the bottom of the worksheet). Page 15 of 20
16 Page 16 of 20
17 Objective Students will be able to: Day 7 Add, subtract, multiply, and divide integers. Materials MATHO cards and corresponding integer problems. Teacher Note  Following this page are 2 blank MATHO cards that can be copied and customized by any teacher. My cards range from 25 to +25. Each series of numbers is placed under a certain letter, just as in BINGO. Problems that correspond to your cards have to be created and put in a jug. Also attached are 2 of my cards. Opening Activity Have the students do these problems: 20+(20), 1019, (3)(7), and 42/(3). Activity #1 Review their answers and the rules Activity #2 Distribute each student a MATHO card. Explain the rules to the students. Color in the free space. A student will be selected by the teacher to draw a problem from the jug. He/she must then solve it on the chalkboard and explain their work. If a student has that integer on his/her board, then it is colored in. Another student is then selected to draw and solve a problem. The first student to get 5 numbers in a row wins. Activity #3 Check the winners card and play another game. Closing Activity Review the rules integer operations. Homework Study for the test. Page 17 of 20
18 M A T H O FREE SPACE Page 18 of 20
19 M A T H O FREE SPACE Page 19 of 20
20 FREE SPACE FREE SPACE FREE SPACE FREE SPACE Page 20 of 20
Using Algebra Tiles for Adding/Subtracting Integers and to Solve 2step Equations Grade 7 By Rich Butera
Using Algebra Tiles for Adding/Subtracting Integers and to Solve 2step Equations Grade 7 By Rich Butera 1 Overall Unit Objective I am currently student teaching Seventh grade at Springville Griffith Middle
More informationAdding and Subtracting Integers. Objective: 1a. The student will add and subtract integers with the aid of colored disks.
Algebra/Geometry Institute Summer 2006 Monica Reece Grenada Middle School, Grenada, MS Grade 6 Adding and Subtracting Integers Objective: 1a. The student will add and subtract integers with the aid of
More informationAdding and Subtracting Integers Unit. Grade 7 Math. 5 Days. Tools: Algebra Tiles. FourPan Algebra Balance. Playing Cards
Adding and Subtracting Integers Unit Grade 7 Math 5 Days Tools: Algebra Tiles FourPan Algebra Balance Playing Cards By Dawn Meginley 1 Objectives and Standards Objectives: Students will be able to add
More informationI 2 T 2 Project Kimberly Grimaldi
I 2 T 2 Project Kimberly Grimaldi GRADE LEVEL: 8 th Grade TIME SPAN: One day lesson plan TOOLS: Algebra Tiles LESSON TITLE: Using Algebra Tiles to Explore the Distributive Property MATERIALS: Overhead
More informationI2T2 Final Project. Addition of Integers In the Chips. Grade 7
I2T2 Final Project Addition of Integers In the Chips Grade 7 Laura Bauer December 1, 2006 1 Title Page 1 Table of Contents. 2 Overall Objectives 3 Standards, Materials and Time 4 Outline of Activities..
More informationBORDER TILES. Getting Ready. The Activity. Overview. Introducing
BORDER TILES NUMBER PATTERNS/FUNCTIONS GEOMETRY Pattern recognition Square numbers Predicting Getting Ready What You ll Need Color Tiles, about 60 each of 2 different colors per pair Color Tile grid paper,
More informationAdding and subtracting integers
Adding and subtracting integers by Annette Doherty A 5 day unit for Grade 7 48 minute periods Tools: number lines thermometers integer chips Text book overhead projector Over View for the Unit Objectives:
More informationPURPOSE: To practice adding and subtracting integers with number lines and algebra tiles (charge method). SOL: 7.3 NUMBER LINES
Name: Date: Block: PURPOSE: To practice adding and subtracting integers with number lines and algebra tiles (charge method). SOL: 7.3 Examples: NUMBER LINES Use the below number lines to model the given
More informationThe Locker Problem. Purpose: Participants will determine attributes of numbers and their factors.
The Locker Problem Purpose: Participants will determine attributes of numbers and their factors. Overview: Participants will determine which locker numbers have exactly two factors, an odd number of factors,
More informationINTRODUCTION CONTENTS
INTRODUCTION Algebra for All and No Child Left Behind are phrases in the education community that suggest, and in many cases require, action. They give impetus for mathematics teachers at all levels to
More informationInstitute for Teaching through Technology and Innovative Practices Grade Seven. 80 minutes
Modeling Integers Lesson Summary The student will formulate rules for and solve practical problems involving basic operations (addition) with integers. Major Topic and SOL Math SOL (2009) 7.5 Length of
More informationMultiplying Integers. Lesson Plan
Lesson Plan Video: 12 minutes Lesson: 38 minutes Previewing :00 Warm up: Write 5 + 5 + 5 + 5 = on the board. Ask students for the answer. Then write 5 x 4 = on the board. Ask the students for the answer.
More informationPolygon of the Day Discovering Area Formulas
Polygon of the Day Discovering Area Formulas Utilizing Technology and Manipulatives Cuisenaire popcubes Geometry tiles GSP triangles tool Trapezoid magnets Sixth Grade 6day Unit Plan (40 minute classes)
More informationRemove One (Probability)
The Middle School Math Project Remove One (Probability) Objective Students will develop winning game strategies based on probable outcomes of events. Overview of the Lesson In this lesson, students are
More informationCourse: Math 7. engage in problem solving, communicating, reasoning, connecting, and representing
Course: Math 7 Decimals and Integers 11 Estimation Strategies. Estimate by rounding, frontend estimation, and compatible numbers. Prentice Hall Textbook  Course 2 7.M.0 ~ Measurement Strand ~ Students
More information6 th Grade. 5 day Unit. Fraction Squares. Circle. Bars. By: Amy Nikiel
6 th Grade 5 day Unit By: Amy Nikiel Fraction Squares Fraction Circle Fraction Bars 2 Table of Contents Page 1. Objectives 3 2. NCTM Standards. 4 3. NYS Standards.. 5 4. Resources... 5 5. Materials 6 6.
More informationUnit 3: Algebra. Date Topic Page (s) Algebra Terminology 2. Variables and Algebra Tiles 3 5. Like Terms 6 8. Adding/Subtracting Polynomials 9 12
Unit 3: Algebra Date Topic Page (s) Algebra Terminology Variables and Algebra Tiles 3 5 Like Terms 6 8 Adding/Subtracting Polynomials 9 1 Expanding Polynomials 13 15 Introduction to Equations 16 17 One
More informationGrades 6, 7. Topics: Model Addition & Subtraction of Integers Substitute Integers for Variables and Simplify
Lesson: Integer Magic Grades 6, 7 Topics: Model Addition & Subtraction of Integers Substitute Integers for Variables and Simplify Lesson Components Lesson Plan Outline Student Log for Integer Disappearing
More informationOA323 Patterns in Multiplication of Odd Numbers
OA2 Patterns in Multiplication of Odd Numbers Pages 0 1 Standards:.OA.D. Goals: Students will find patterns in the multiplication of odd numbers Students will practice multiplication facts for odd numbers,
More informationGraphing Quadratics Using the TI83
Graphing Quadratics Using the TI83 9 th Grade Algebra Paul Renzoni 12/01/02 I2T2 Project Table of Contents: Unit Objectives, NYS Standards, NCTM Standards 3 Resources 4 Materials and Equipment 5 Overview
More informationNumber Sense Lessons And Supplemental Activities For Middle School Grades 78. By Greg Gearey Patrick McNallan George Taus
Number Sense Lessons And Supplemental Activities For Middle School Grades 78 By Greg Gearey Patrick McNallan George Taus Number Sense/Number Theory Summer 2005 About Our Class This lesson can be found
More informationRectangles and Factors
Rectangles and Factors Background information: Unlike addition, in multiplication, each factor has a different purpose; one identifies the number in each group and the other, the number of groups. Therefore
More informationMathematics Success Grade 6
T276 Mathematics Success Grade 6 [OBJECTIVE] The student will add and subtract with decimals to the thousandths place in mathematical and realworld situations. [PREREQUISITE SKILLS] addition and subtraction
More informationUSING ALGEBRA TILES EFFECTIVELY
MATHEMATICS USING ALGEBRA TILES EFFECTIVELY TOOLS FOR UNDERSTANDING by Bettye C. Hall Reviewers James Gates, Ed.D. Yvonne S. Gentzler, Ph.D. AUTHOR Bettye C. Hall is the former Director of Mathematics
More informationThe High School Math Project Focus on Algebra. The YoYo Problem. (Solving Linear Equations)
The High School Math Project Focus on Algebra The YoYo Problem (Solving Linear Equations) Objective Students explore linear patterns, write a pattern in symbolic form, and solve linear equations using
More informationTI83 Plus Graphing Calculator Keystroke Guide
TI83 Plus Graphing Calculator Keystroke Guide In your textbook you will notice that on some pages a keyshaped icon appears next to a brief description of a feature on your graphing calculator. In this
More informationFactor Game (Number Theory)
The Middle School Math Project Factor Game (Number Theory) Objective Students will use a game setting to identify the properties of prime, composite, abundant, deficient and perfect numbers. Overview of
More informationInquiry Based Lesson Adding Integers using Integer Chips Jackie Wolf Pat Canterbury. Part I
Inquiry Based Lesson Adding Integers using Integer Chips Jackie Wolf Pat Canterbury Part I 1. Lesson Title: Adding integers using integer chips 2. Lesson Summary: In this lesson, students will use integer
More informationOpposites are all around us. If you move forward two spaces in a board game
TwoColor Counters Adding Integers, Part II Learning Goals In this lesson, you will: Key Term additive inverses Model the addition of integers using twocolor counters. Develop a rule for adding integers.
More informationMathematics Success Level H
T393 [OBJECTIVE] The student will solve twostep inequalities and graph the solutions on number lines. [MATERIALS] Student pages S132 S140 Transparencies T372 from Lesson 15, T405, T407, T409, T411, T413,
More informationQuadrilaterals Properties of a parallelogram, a rectangle, a rhombus, a square, and a trapezoid
Quadrilaterals Properties of a parallelogram, a rectangle, a rhombus, a square, and a trapezoid Grade level: 10 Prerequisite knowledge: Students have studied triangle congruences, perpendicular lines,
More informationReview: Addition and Subtraction of Positive and Negative Numbers
Review: Addition and Subtraction of Positive and Negative Numbers Objective To practice adding and subtracting positive and negative numbers. www.everydaymathonline.com epresentations etoolkit Algorithms
More informationCOORDINATE GEOMETRY AND TRANSFORMATIONS
COORDINATE GEOMETRY AND TRANSFORMATIONS i 2 t 2 Final Project 5Day Unit Plan 8 th Grade Math Lab Helen Roseler December 1, 2003 1 Preface Math Lab is an additional math class designed to deliver Academic
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 informationAccording to the Common Core State Standards Initiative (CCSSI, 2012), Mathematics Standards,
Understanding Integer Addition and Subtraction Concepts Using Microsoft Word R Illustrations Estella De Los Santos, University of HoustonVictoria Abstract: Small colored disks of different colors have
More informationequals equals equals equals
Addition of Integers Rules Same Sign  Add  Keep the Sign Different Signs  Subtract  Take the sign of the integer with the larger absolute value plus plus plus
More informationLesson Plan Shipping Grade 6 Solving Equations
CCSSM: Grade 6 DOMAIN: Expressions and Equations Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions. Standard: 6.EE.2 Write, read, and evaluate expressions in which
More informationA Concrete Introduction. to the Abstract Concepts. of Integers and Algebra using Algebra Tiles
A Concrete Introduction to the Abstract Concepts of Integers and Algebra using Algebra Tiles Table of Contents Introduction... 1 page Integers 1: Introduction to Integers... 3 2: Working with Algebra Tiles...
More informationAlgebra Success. [OBJECTIVE] The student will learn how to multiply monomials and polynomials.
Algebra Success T697 [OBJECTIVE] The student will learn how to multiply monomials and polynomials. [MATERIALS] Student pages S269 S278 Transparencies T704, T705, T707, T709, T711, T713, T715 Red and yellow
More informationAnticipatory Set: Students should know how to add, subtract, multiply and divide positive and negative integers.
Lesson Plan Subject: Pre Algebra The Distributive Property Grade Level: 9th Grade Length: 20 minute session Common Core Standards: CCSS.Math.Content.6.EE.A.3 Apply the properties of operations to generate
More informationWest WindsorPlainsboro Regional School District Algebra I Part 2 Grades 912
West WindsorPlainsboro Regional School District Algebra I Part 2 Grades 912 Unit 1: Polynomials and Factoring Course & Grade Level: Algebra I Part 2, 9 12 This unit involves knowledge and skills relative
More informationFactoring 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 informationMean, Median, Mode and Range
Mean, Median, Mode and Range 8 th grade 5 days of 40 minute class periods Materials used: internet, TI83, tape measures, magazines and newspapers Kimberly Best 1 Table of Contents Objectives:    
More informationModule 2: Working with Fractions and Mixed Numbers. 2.1 Review of Fractions. 1. Understand Fractions on a Number Line
Module : Working with Fractions and Mixed Numbers.1 Review of Fractions 1. Understand Fractions on a Number Line Fractions are used to represent quantities between the whole numbers on a number line. A
More informationeday Lessons Mathematics Grade 8 Student Name:
eday Lessons Mathematics Grade 8 Student Name: Common Core State Standards Expressions and Equations Work with radicals and integer exponents. 3. Use numbers expressed in the form of a single digit times
More informationPOLYNOMIAL FUNCTIONS
POLYNOMIAL FUNCTIONS Polynomial Division.. 314 The Rational Zero Test.....317 Descarte s Rule of Signs... 319 The Remainder Theorem.....31 Finding all Zeros of a Polynomial Function.......33 Writing a
More informationNUMBER OPERATONS GRADE
NUMBER OPERATONS GRADE 4 Western and Northern Canadian Protocol (WNCP) Edition handson mathematics Grade 4 Project Editor Jennifer E. Lawson Mathematics Consultants Meagan Mutchmor Dianne Soltess Writer
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 informationFIDDLIN WITH FRACTIONS
FIDDLIN WITH FRACTIONS Special Area: Connections (Fourth and Fifth Grade) Written by: (Dawn Ramos, Joan Johnson, Mindy Wilshusen, St. Mary s School) Length of Unit: (6 Lessons) I. ABSTRACT The purpose
More informationInteger Instruction That Works: Best Practices for Instruction of Integers for All Students Including LEP Learners Math, LEP Grades 58
Integer Instruction That Works: Best Practices for Instruction of Integers for All Students Including LEP Learners Math, LEP Grades 58 Frustrated by the fact that your students incorrectly apply the rule
More informationGrade 5 supplement. Set E2 Data Anlaysis: Fundamental Counting Principle. Includes. Skills & Concepts
Grade 5 supplement Set E2 Data Anlaysis: Fundamental Counting Principle Includes Activity 1: Counting the Possible Outcomes A1.1 Independent Worksheet 1: Charlie s Marbles A1.9 Independent Worksheet 2:
More informationDecimals and Percentages
Decimals and Percentages Specimen Worksheets for Selected Aspects Paul Harling b recognise the number relationship between coordinates in the first quadrant of related points Key Stage 2 (AT2) on a line
More informationCurriculum Overview Maths  Term 1 Grade 4
Curriculum Overview Maths  Term 1 Grade 4 Resources: Mastermaths Book 3 Oxford University Press Paul Brite Web page: www.manatee.k12.fl.usn Worksheets, Exploring Mathematics Scott Foresman and Company/4
More informationUNIT TWO POLYNOMIALS MATH 421A 22 HOURS. Revised May 2, 00
UNIT TWO POLYNOMIALS MATH 421A 22 HOURS Revised May 2, 00 38 UNIT 2: POLYNOMIALS Previous Knowledge: With the implementation of APEF Mathematics at the intermediate level, students should be able to: 
More information1 Mathematics Curriculum
New York State Common Core 1 Mathematics Curriculum G R A D E GRADE 1 MODULE 1 Topic F Development of Addition Fluency Within 10 1.OA.3, 1.OA.6 Focus Standard: 1.OA.3 Apply properties of operations as
More informationTYPES OF NUMBERS. Example 2. Example 1. Problems. Answers
TYPES OF NUMBERS When two or more integers are multiplied together, each number is a factor of the product. Nonnegative integers that have exactly two factors, namely, one and itself, are called prime
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 informationObservation 1. Observation 2. What is the sign of the answer to the problem L3 Q L11?
Name Date Number Sense: Integers Student Worksheet Overview The Overview introduces the topics covered in Observations and Activities. Scroll through the Overview using " (! to review, if necessary). Read
More informationIII BACKGROUND KNOWLEDGE
Algebra Made Easy Grade Level: 6 th Presented by: Julia Daniely and Pat Graham, Miller Magnet School, Macon, Georgia Length of Unit: Five math lessons (10 days) I. ABSTRACT As we enter the 21 st century,
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 informationAlgebra 1A and 1B Summer Packet
Algebra 1A and 1B Summer Packet Name: Calculators are not allowed on the summer math packet. This packet is due the first week of school and will be counted as a grade. You will also be tested over the
More informationDiscovering Math: Computation Teacher s Guide
Teacher s Guide Grade Level: 6 8 Curriculum Focus: Mathematics Lesson Duration: Four class periods Program Description Discovering Math: Computation From operations with whole numbers, fractions, decimals,
More informationStandard: 8.EE.1: Know and apply properties of integer exponents to generate equivalent numerical expressions.
Standard: 8.EE.1: Know and apply properties of integer exponents to generate equivalent numerical expressions. Learning Goal: Students will be able to develop and use the rules for multiplying expressions
More informationAlgebra Unit 6 Syllabus revised 2/27/13 Exponents and Polynomials
Algebra Unit 6 Syllabus revised /7/13 1 Objective: Multiply monomials. Simplify expressions involving powers of monomials. Preassessment: Exponents, Fractions, and Polynomial Expressions Lesson: Pages
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 informationI have 15 apples to share between four friends and myself. We each get 3. So I have 5 groups of 3 apples. Dina Mendola CCLM^2 Project Summer 2012
Dina Mendola CCLM^2 Project Summer 2012 DRAFT DOCUMENT. This material was developed as part of the Leadership for the Common Core in Mathematics (CCLM^2) project at the University of WisconsinMilwaukee.
More informationName Date Class Period. 3.2 Modeling Equations with Like Terms and Parentheses. How can you use algebra tiles to solve an equation with like terms?
Name Date Class Period Activity A 3.2 Modeling Equations with Like Terms and Parentheses MATERIALS QUESTION algebra tiles How can you use algebra tiles to solve an equation with like terms? Sometimes you
More informationName Period Date MATHLINKS GRADE 8 STUDENT PACKET 1 INTEGERS REVIEW
Name Period Date 81 STUDENT PACKET MATHLINKS GRADE 8 STUDENT PACKET 1 INTEGERS REVIEW 1.1 Integer Operations: Patterns Explore the meaning of integer addition, subtraction, multiplication, and division.
More informationPrentice Hall Mathematics: Course Correlated to: Alaska State Content Standards: Math (Grade 7)
Alaska State Content Standards: Math (Grade 7) A. A student should understand mathematical facts, concepts, principles, and theories. 1. understand and use numeration, including numbers, number systems,
More informationLesson/Unit Plan Name: Multiplication Facts Made Easy
Grade Level/Course: Grades 36 Lesson/Unit Plan Name: Multiplication Facts Made Easy Rationale/Lesson Abstract: Teachers can eliminate the stress associated with developing fluency with multiplication
More informationKINDERGARTEN Practice addition facts to 5 and related subtraction facts. 1 ST GRADE Practice addition facts to 10 and related subtraction facts.
MATH There are many activities parents can involve their children in that are math related. Children of all ages can always practice their math facts (addition, subtraction, multiplication, division) in
More informationLESSON PLAN. Unit: Probability Lesson 6 Date: Summer 2008
LESSON PLAN Grade Level/Course: Grade 6 Mathematics Teacher(s): Ms. Green & Mr. Nielsen Unit: Probability Lesson 6 Date: Summer 2008 Topic(s): Playing Carnival Games Resources: Transparencies: Worksheets:
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 informationThird Grade Math Games
Third Grade Math Games Unit 1 Lesson Less than You! 1.3 Addition TopIt 1.4 Name That Number 1.6 Beat the Calculator (Addition) 1.8 Buyer & Vendor Game 1.9 TicTacToe Addition 1.11 Unit 2 What s My Rule?
More informationM&M: Multiplication Madness Grade Level or Special Area: Third Grade Amy Collins and Grace Van Horne, Jefferson Academy, Broomfield, CO
M&M: Multiplication Madness Grade Level or Special Area: Third Grade Written by: Amy Collins and Grace Van Horne, Jefferson Academy, Broomfield, CO Length of Unit: Ten lessons two to three weeks I. ABSTRACT
More informationTI86 Graphing Calculator Keystroke Guide
TI86 Graphing Calculator Keystroke Guide In your textbook you will notice that on some pages a keyshaped icon appears next to a brief description of a feature on your graphing calculator. In this guide
More informationReady, Set, Go! Math Games for Serious Minds
Math Games with Cards and Dice presented at NAGC November, 2013 Ready, Set, Go! Math Games for Serious Minds Rande McCreight Lincoln Public Schools Lincoln, Nebraska Math Games with Cards Close to 20 
More informationDifferentiating Math Instruction Using a Variety of Instructional Strategies, Manipulatives and the Graphing Calculator
Differentiating Math Instruction Using a Variety of Instructional Strategies, Manipulatives and the Graphing Calculator University of Houston Central Campus EatMath Workshop October 10, 2009 Differentiating
More informationLesson 3: Evaluate products and quotients of integers. Demonstrate mastery of unit principles through summative assessment.
Title: Incredible Integers! Brief Overview: Students of sixth grade mathematics often come to middle school lacking a firm grasps on the concept of positive and negative numbers. The integer unit is critical
More informationGrade 1 supplement. Set A4 Number & Operations: Equivalent Names. Includes. Skills & Concepts
Grade 1 supplement Set A4 Number & Operations: Equivalent Names Includes Activity 1: Sixes & Sevens, Day 1 A4.1 Activity 2: Sixes & Sevens, Day 2 A4.5 Skills & Concepts H fluently compose and decompose
More informationFUNCTIONS AS PATTERNS, TABLES & GRAPHS
FUNCTIONS AS PATTERNS, TABLES & GRAPHS Grade/Level : 7 th & 8 th grades Duration/Length : 5 days (45 minutes each) Brief Overview: Day I The unit begins with a function machine model for patterns. Day
More informationPlanning Guide: Grade 7 Addition and Subtraction of Integers Strand: Number Outcome: 6
Planning Guide: Grade 7 Addition and Subtraction of Integers Strand: Number Outcome: 6 Curriculum Highlights This sample targets the following changes in the curriculum: The General Outcome focuses on
More informationName of Lesson: Properties of Equality A Review. Mathematical Topic: The Four Properties of Equality. Course: Algebra I
Name of Lesson: Properties of Equality A Review Mathematical Topic: The Four Properties of Equality Course: Algebra I Time Allocation: One (1) 56 minute period Prerequisite Knowledge: The students will
More informationCourse Title: Honors Algebra Course Level: Honors Textbook: Algebra 1 Publisher: McDougall Littell
Course Title: Honors Algebra Course Level: Honors Textbook: Algebra Publisher: McDougall Littell The following is a list of key topics studied in Honors Algebra. Identify and use the properties of operations
More informationNorwalk La Mirada Unified School District. Algebra Scope and Sequence of Instruction
1 Algebra Scope and Sequence of Instruction Instructional Suggestions: Instructional strategies at this level should include connections back to prior learning activities from K7. Students must demonstrate
More informationMANCHESTER COLLEGE Department of Education. Length: 25 minutes Grade Intended: PreAlgebra (7 th )
LESSON PLAN by: Kyler Kearby Lesson: Multiplying and dividing integers MANCHESTER COLLEGE Department of Education Length: 25 minutes Grade Intended: PreAlgebra (7 th ) Academic Standard: 7.2.1: Solve
More informationGrade Seven. Classroom. Strategies
Grade Seven Classroom Strategies Book 2 Grade 7 Classroom Strategies 1 2 Grade 7 Classroom Strategies The learner will understand and compute with real numbers. 1.01 Write whole numbers in scientific notation;
More informationThis is a game for two players and one referee. You will need a deck of cards (Ace 10).
PLAYER SALUTE This is a game for two players and one referee. You will need a deck of cards (Ace 10). Each player draws a card and, without looking, holds the card on his/her forehead facing outward. The
More informationSue Fine Linn Maskell
FUN + GAMES = MATHS Sue Fine Linn Maskell Teachers are often concerned that there isn t enough time to play games in maths classes. But actually there is time to play games and we need to make sure that
More informationHey, That s Not Fair! (Or is it?)
Concept Probability and statistics Number sense Activity 9 Hey, That s Not Fair! (Or is it?) Students will use the calculator to simulate dice rolls to play two different games. They will decide if the
More informationArea, Perimeter, Surface Area and Change Overview
Area, Perimeter, Surface Area and Change Overview Enduring Understanding: (5)ME01: Demonstrate understanding of the concept of area (5)ME02: Demonstrate understanding of the differences between length
More informationSample Fraction Addition and Subtraction Concepts Activities 1 3
Sample Fraction Addition and Subtraction Concepts Activities 1 3 College and CareerReady Standard Addressed: Build fractions from unit fractions by applying and extending previous understandings of operations
More informationMental Math Addition and Subtraction
Mental Math Addition and Subtraction If any of your students don t know their addition and subtraction facts, teach them to add and subtract using their fingers by the methods taught below. You should
More informationRESOURCE FOR THE COURSE 1 CARNEGIE TEXTBOOK. SECTION and PAGE NUMBER TOPIC. 1.1 Pages 514 Factors and Multiples
RESOURCE FOR THE COURSE 1 CARNEGIE TEXTBOOK SECTION and PAGE NUMBER TOPIC 1.1 Pages 514 Factors and Multiples Properties of Addition and Multiplication (Commutative, Associative and Distributive) Apply
More informationAlgebra Tiles Activity 1: Adding Integers
Algebra Tiles Activity 1: Adding Integers NY Standards: 7/8.PS.6,7; 7/8.CN.1; 7/8.R.1; 7.N.13 We are going to use positive (yellow) and negative (red) tiles to discover the rules for adding and subtracting
More informationComputation of Fractions
National Center on INTENSIVE INTERVENTION at American Institutes for Research Computation of Fractions 000 Thomas Jefferson Street, NW Washington, DC 0007 Email: NCII@air.org While permission to reprint
More informationSect Properties of Real Numbers and Simplifying Expressions
Sect 1.6  Properties of Real Numbers and Simplifying Expressions Concept #1 Commutative Properties of Real Numbers Ex. 1a.34 + 2.5 Ex. 1b 2.5 + (.34) Ex. 1c 6.3(4.2) Ex. 1d 4.2( 6.3) a).34 + 2.5 = 6.84
More informationAlgebra I. In this technological age, mathematics is more important than ever. When students
In this technological age, mathematics is more important than ever. When students leave school, they are more and more likely to use mathematics in their work and everyday lives operating computer equipment,
More informationGrade 1 and 2: Basic Addition and Subtraction Facts Series 2: First and Second Grade
Grade 1 and 2: Basic Addition and Subtraction Facts Series 2: First and Second Grade Texas Essential Knowledge and Skills (TEKS): (1.3) Number, operation and quantitative reasoning. The student recognizes
More informationAccentuate the Negative: Homework Examples from ACE
Accentuate the Negative: Homework Examples from ACE Investigation 1: Extending the Number System, ACE #6, 7, 1215, 47, 4952 Investigation 2: Adding and Subtracting Rational Numbers, ACE 1822, 38(a),
More information