Where Do We Meet? Students will represent and analyze algebraically a wide variety of problem solving situations.


 Madeleine Newman
 10 months ago
 Views:
Transcription
1 Beth Yancey MAED 591 Where Do We Meet? Introduction: This lesson covers objectives in the algebra and geometry strands of the New York State standards for Algebra I. The students will use the graphs of systems of linear equations to find the solution for the systems. The students will work in cooperative groups to graph linear equations and find the point of intersection. This is a lesson to be used prior to teaching substitution and elimination for solving systems of linear equations. One day of 40 minute instruction is needed for this lesson. New York State Standards: Mathematics, Science, and Technology  Standard 3 Students will: understand the concepts of and become proficient with the skills of mathematics; communicate and reason mathematically; become problem solvers by using appropriate tools and strategies; through the integrated study of number sense and operations, algebra, geometry, measurement, and statistics and probability. Algebra Strand Students will represent and analyze algebraically a wide variety of problem solving situations. A.A.40 Determine whether a given point is in the solution set of a system of linear inequalities. Geometry Strand Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes. A.G.7 Graph and solve systems of linear equations and inequalities with rational coefficients in two variables. Objectives 1. The students will be able to graph two linear equations on the same graph. 2. The students will be able to find the solution for a system of linear equations by finding the intersection on a graph. 3. The students will be able to check their solution in the given system of equations. Instructional Protocol This is an introductory lesson to solving systems of equations. It is expected that students already have experience graphing lines and know how to name the coordinates of a point. There is a cooperative learning portion of the lesson along with a section of direct instruction. Included is a worksheet that students will work on during guided instruction along with extra problems for the students to work on inside and/or outside of class.
2 Materials: Graph Paper Rulers Index Cards Yarn or Tape (to marker a path on the floor) Overhead Projector/ Transparencies Guided Notes Lesson: 1. Hook: Ask for four volunteers to help with the following activity. Start with two students standing in each of two corners of the room. (Not two opposite corners). In each of the two corners, one student will hold the end of the yarn on the floor. The other two students will take the yarn and walk from their corner to the opposite corner and put the yarn on the floor, pulling it tight. Explain to the students that the yarn on the floor represents the path the students walked. Go to where the yarn intersects and ask the students what this location means. (The one place that both students walked through. Where they would run into each other if they are there at the same time.) Explain that two linear equations is called a system of equations, and the solution is where they intersect. 2. Put students into groups of three or four for the cooperative learning activity. Each task is written on an index card to hand out at the appropriate times to each group. The groups will also need a piece of graph. Task 1 (5 min.): Graph the line y = 3x+ 5. Task 2 (5 min.): Graph the line 12x+ 3y = 6. Task 3 (5 min.): Find the coordinates of the intersection of the two graphs and check this point in both equations. (Solution: (1,2)) 3. Go over the solution on the overhead projector by bringing up volunteers to show what they did for each task. Explain that the solution is not only where the two lines meet but the point where the two equations are equal. 4. Ask the students what the solution is for a system of linear equations where the lines are parallel. (Answer: There is none since the lines never intersect.) 5. Ask the students if a system of linear equations can have two solutions. (Answer: No, two lines intersect at no more than one point.) 6. Give the students the Graphing Systems of Linear Equations Worksheet and go over solving the first system. If there is time students may continue working on the worksheet in groups or individually and the rest of the worksheet can be the homework assignment.
3 Extension Activity: Have students think about whether they can use this method for solving systems of equations that are not lines. Also, students can think about reasons why graphing may not be the best method for solving systems of equations.
4 Name Date Graphing Systems of Linear Equations 1. Solve the following system of linear equations by graphing. 5 y = x+ 5 4 x = 4
5 2. Solve the following system of linear equations by graphing. 2x+ 3y = 6 2x+ y = 2 3. Solve the following system of linear equations by graphing. 3 y = 2 x 2 2x+ 2y = 24
6
3.1 Solving Systems Using Tables and Graphs
Algebra 2 Chapter 3 3.1 Solve Systems Using Tables & Graphs 3.1 Solving Systems Using Tables and Graphs A solution to a system of linear equations is an that makes all of the equations. To solve a system
More informationNumber and Numeracy SE/TE: 43, 49, 140145, 367369, 457, 459, 479
Ohio Proficiency Test for Mathematics, New Graduation Test, (Grade 10) Mathematics Competencies Competency in mathematics includes understanding of mathematical concepts, facility with mathematical skills,
More informationClimbing Stairs. Goals. Launch 4.1 4.1
4.1 Climbing Stairs Goals Introduce students to the concept of slope as the ratio of vertical change to between two points on a line or ratio of rise over run Use slope to sketch a graph of a line with
More informationUsing 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 informationInvestigating Quadrilaterals Grade Four
Ohio Standards Connection Geometry and Spatial Sense Benchmark A Provide rationale for groupings and comparisons of twodimensional figures and threedimensional objects. Indicator 3 Identify similarities
More informationFractions In Action! Dawn Jesse
Fractions In Action! Dawn Jesse Fractions In Action Dawn Jesse Fractions In Action is an interactive activity that consists of direct instruction, cooperative learning and is inquire based. As the students
More information5 Systems of Equations
Systems of Equations Concepts: Solutions to Systems of EquationsGraphically and Algebraically Solving Systems  Substitution Method Solving Systems  Elimination Method Using Dimensional Graphs to Approximate
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 informationLinear Equations. 5 Day Lesson Plan Unit: Linear Equations Grade Level: Grade 9 Time Span: 50 minute class periods By: Richard Weber
Linear Equations 5 Day Lesson Plan Unit: Linear Equations Grade Level: Grade 9 Time Span: 50 minute class periods By: Richard Weber Tools: Geometer s Sketchpad Software Overhead projector with TI 83
More informationPythagorean Theorem Differentiated Instruction for Use in an Inclusion Classroom
Pythagorean Theorem Differentiated Instruction for Use in an Inclusion Classroom Grade Level: Seven Time Span: Four Days Tools: Calculators, The Proofs of Pythagoras, GSP, Internet Colleen Parker Objectives
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 informationSPIRIT 2.0 Lesson: A Point Of Intersection
SPIRIT 2.0 Lesson: A Point Of Intersection ================================Lesson Header============================= Lesson Title: A Point of Intersection Draft Date: 6/17/08 1st Author (Writer): Jenn
More informationQuestions. Strategies August/September Number Theory. What is meant by a number being evenly divisible by another number?
Content Skills Essential August/September Number Theory Identify factors List multiples of whole numbers Classify prime and composite numbers Analyze the rules of divisibility What is meant by a number
More informationLearning Goals. b. Calculate the total cost of using Roller Rama. y 5 5(50) 5 250. The total cost of using Roller Rama is $250.
Making Decisions Using the Best Method to Solve a Linear System Learning Goals In this lesson, you will: Write a linear system of equations to represent a problem context. Choose the best method to solve
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 informationLines, Lines, Lines!!! SlopeIntercept Form ~ Lesson Plan
Lines, Lines, Lines!!! SlopeIntercept Form ~ Lesson Plan I. Topic: SlopeIntercept Form II. III. Goals and Objectives: A. The student will write an equation of a line given information about its graph.
More informationPrentice Hall: Middle School Math, Course 1 2002 Correlated to: New York Mathematics Learning Standards (Intermediate)
New York Mathematics Learning Standards (Intermediate) Mathematical Reasoning Key Idea: Students use MATHEMATICAL REASONING to analyze mathematical situations, make conjectures, gather evidence, and construct
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 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 informationPerformance Based Learning and Assessment Task Confetti Task
Performance Based Learning and Assessment Task Confetti Task I. ASSESSMENT TASK OVERVIEW & PURPOSE: In this task, Geometry students will investigate how surface area and volume is used to estimate the
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 informationIn this section, you will develop a method to change a quadratic equation written as a sum into its product form (also called its factored form).
CHAPTER 8 In Chapter 4, you used a web to organize the connections you found between each of the different representations of lines. These connections enabled you to use any representation (such as a graph,
More information7.4A/7.4B STUDENT ACTIVITY #1
7.4A/7.4B STUDENT ACTIVITY #1 Write a formula that could be used to find the radius of a circle, r, given the circumference of the circle, C. The formula in the Grade 7 Mathematics Chart that relates the
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 informationHigh School Functions Interpreting Functions Understand the concept of a function and use function notation.
Performance Assessment Task Printing Tickets Grade 9 The task challenges a student to demonstrate understanding of the concepts representing and analyzing mathematical situations and structures using algebra.
More informationPrentice Hall Connected Mathematics 2, 7th Grade Units 2009
Prentice Hall Connected Mathematics 2, 7th Grade Units 2009 Grade 7 C O R R E L A T E D T O from March 2009 Grade 7 Problem Solving Build new mathematical knowledge through problem solving. Solve problems
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 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 informationGeometry and Measurement
The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for
More informationCalculus and Vectors. Day Lesson Title Math Learning Goals Expectations 1, 2, 3,
Unit Applying Properties of Derivatives Calculus and Vectors Lesson Outline Day Lesson Title Math Learning Goals Epectations 1,,, The Second Derivative (Sample Lessons Included) 4 Curve Sketching from
More informationStandards for Mathematical Practice: Commentary and Elaborations for 6 8
Standards for Mathematical Practice: Commentary and Elaborations for 6 8 c Illustrative Mathematics 6 May 2014 Suggested citation: Illustrative Mathematics. (2014, May 6). Standards for Mathematical Practice:
More informationNew York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and Quick Review Math Handbook Book 1
New York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and The lessons that address each Performance Indicator are listed, and those in which the Performance Indicator
More informationUsing the Quadrant. Protractor. Eye Piece. You can measure angles of incline from 0º ( horizontal ) to 90º (vertical ). Ignore measurements >90º.
Using the Quadrant Eye Piece Protractor Handle You can measure angles of incline from 0º ( horizontal ) to 90º (vertical ). Ignore measurements 90º. Plumb Bob ø
More informationKEANSBURG SCHOOL DISTRICT KEANSBURG HIGH SCHOOL Mathematics Department. HSPA 10 Curriculum. September 2007
KEANSBURG HIGH SCHOOL Mathematics Department HSPA 10 Curriculum September 2007 Written by: Karen Egan Mathematics Supervisor: Ann Gagliardi 7 days Sample and Display Data (Chapter 1 pp. 447) Surveys and
More informationPreAlgebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems
Academic Content Standards Grade Eight Ohio PreAlgebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small
More information2.1. Inductive Reasoning EXAMPLE A
CONDENSED LESSON 2.1 Inductive Reasoning In this lesson you will Learn how inductive reasoning is used in science and mathematics Use inductive reasoning to make conjectures about sequences of numbers
More informationOverview. Essential Questions. Grade 8 Mathematics, Quarter 4, Unit 4.3 Finding Volume of Cones, Cylinders, and Spheres
Cylinders, and Spheres Number of instruction days: 6 8 Overview Content to Be Learned Evaluate the cube root of small perfect cubes. Simplify problems using the formulas for the volumes of cones, cylinders,
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 informationParallel and Perpendicular Lines
Trinity University Digital Commons @ Trinity Understanding by Design: Complete Collection Understanding by Design Summer 6122014 Parallel and Perpendicular Lines Danielle R. Kendrick Trinity University,
More informationCommon Core Unit Summary Grades 6 to 8
Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity 8G18G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations
More information63 Solving Systems by Elimination
Warm Up Simplify each expression. 1. 2y 4x 2(4y 2x) 2. 5(x y) + 2x + 5y Write the least common multiple. 3. 3 and 6 4. 4 and 10 5. 6 and 8 Objectives Solve systems of linear equations in two variables
More informationAcquisition Lesson Planning Form Key Standards addressed in this Lesson: MM2A2c Time allotted for this Lesson: 5 Hours
Acquisition Lesson Planning Form Key Standards addressed in this Lesson: MM2A2c Time allotted for this Lesson: 5 Hours Essential Question: LESSON 2 Absolute Value Equations and Inequalities How do you
More informationAnswers Teacher Copy. Systems of Linear Equations Monetary Systems Overload. Activity 3. Solving Systems of Two Equations in Two Variables
of 26 8/20/2014 2:00 PM Answers Teacher Copy Activity 3 Lesson 31 Systems of Linear Equations Monetary Systems Overload Solving Systems of Two Equations in Two Variables Plan Pacing: 1 class period Chunking
More informationMath Placement Test Study Guide. 2. The test consists entirely of multiple choice questions, each with five choices.
Math Placement Test Study Guide General Characteristics of the Test 1. All items are to be completed by all students. The items are roughly ordered from elementary to advanced. The expectation is that
More informationQuestion 2: How do you solve a linear programming problem with a graph?
Question 2: How do you solve a linear programming problem with a graph? Now that we have several linear programming problems, let s look at how we can solve them using the graph of the system of inequalities.
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 #: 67 Grade: 8th Number of Students: 25 Date: May 1213, 2011 Goal: Students will
More informationTechnology: CBR2, Graphing Calculator & Cords, Overhead Projector, & Overhead Unit for Calculator
Analyzing Graphs Lisa Manhard Grade Level: 7 Technology: CBR2, Graphing Calculator & Cords, Overhead Projector, & Overhead Unit for Calculator Materials: Student Worksheets (3) Objectives Evaluate what
More informationMaking tessellations combines the creativity of an art project with the challenge of solving a puzzle.
Activities Grades 6 8 www.exploratorium.edu/geometryplayground/activities EXPLORING TESSELLATIONS Background: What is a tessellation? A tessellation is any pattern made of repeating shapes that covers
More informationPerformance Based Learning and Assessment Task Triangles in Parallelograms I. ASSESSSMENT TASK OVERVIEW & PURPOSE: In this task, students will
Performance Based Learning and Assessment Task Triangles in Parallelograms I. ASSESSSMENT TASK OVERVIEW & PURPOSE: In this task, students will discover and prove the relationship between the triangles
More informationAlgebra Bridge Project Cell Phone Plans
Algebra Bridge Project Cell Phone Plans Name Teacher Part I: Two Cell Phone Plans You are in the market for a new cell phone, and you have narrowed your search to two different cell phone companies 
More informationCreating, Solving, and Graphing Systems of Linear Equations and Linear Inequalities
Algebra 1, Quarter 2, Unit 2.1 Creating, Solving, and Graphing Systems of Linear Equations and Linear Inequalities Overview Number of instructional days: 15 (1 day = 45 60 minutes) Content to be learned
More informationPlotting Ordered Pairs on a Four Quadrant Grid Grade Five
Ohio Standards Connection Geometry and Spatial Sense Benchmark C Specify locations and plot ordered pairs on a coordinate plane. Indicator 6 Extend understanding of coordinate system to include points
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 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 informationMultiplication Arrays
Multiplication Arrays Objective To provide opportunities to use arrays, multiplication/ division diagrams, and number models to represent multiplication number stories. www.everydaymathonline.com epresentations
More informationPrentice Hall Mathematics: Algebra 2 2007 Correlated to: Utah Core Curriculum for Math, Intermediate Algebra (Secondary)
Core Standards of the Course Standard 1 Students will acquire number sense and perform operations with real and complex numbers. Objective 1.1 Compute fluently and make reasonable estimates. 1. Simplify
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 informationMAT 096, ELEMENTARY ALGEBRA 6 PERIODS, 5 LECTURES, 1 LAB, 0 CREDITS
1 LAGUARDIA COMMUNITY COLLEGE CITY UNIVERSITY OF NEW YORK MATHEMATICS, ENGINEERING and COMPUTER SCIENCE DEPARTMENT FALL 2015 MAT 096, ELEMENTARY ALGEBRA 6 PERIODS, 5 LECTURES, 1 LAB, 0 CREDITS Catalog
More informationLESSON PLANS: AUSTRALIA Year 5: Number and Algebra Repeating Patterns 45 MINS. Introduction to Lesson 5 MINS. powered by
Year 5: Number and Algebra Repeating Patterns 45 MINS Strand: Number and Algebra Substrand: Patterns and Algebra Outcome: Describe, continue and create patterns with fractions, decimals and whole numbers
More informationSolving Systems of Equations Introduction
Solving Systems of Equations Introduction Outcome (learning objective) Students will write simple systems of equations and become familiar with systems of equations vocabulary terms. Student/Class Goal
More informationIndiana State Core Curriculum Standards updated 2009 Algebra I
Indiana State Core Curriculum Standards updated 2009 Algebra I Strand Description Boardworks High School Algebra presentations Operations With Real Numbers Linear Equations and A1.1 Students simplify and
More informationExamples of Tasks from CCSS Edition Course 3, Unit 5
Examples of Tasks from CCSS Edition Course 3, Unit 5 Getting Started The tasks below are selected with the intent of presenting key ideas and skills. Not every answer is complete, so that teachers can
More informationOverview. Opening 10 minutes. Closing 10 minutes. Work Time 25 minutes EXECUTIVE SUMMARY WORKSHOP MODEL
Overview EXECUTIVE SUMMARY onramp to Algebra is designed to ensure that atrisk students are successful in Algebra, a problem prominent in most of our country s larger school districts. onramp to Algebra
More informationYOU CAN COUNT ON NUMBER LINES
Key Idea 2 Number and Numeration: Students use number sense and numeration to develop an understanding of multiple uses of numbers in the real world, the use of numbers to communicate mathematically, and
More informationM0312 Assignments on Grade Tally Sheet Spring 2011 Section # Name
M0312 Assignments on Grade Tally Sheet Spring 2011 Section # Name Date Packet Work Points MyMathLab Sections 1/18/11 Line 1: Pop Test 1.1, page 17 1.1 Pop Test 1.2, page 18 1.2 Scientific Notation Worksheet,
More informationPerimeter, Area and Volume What Do Units Tell You About What Is Being Measured? Overview
Perimeter, Area and Volume What Do Units Tell You About What Is Being Measured? Overview Summary of Lessons: This set of lessons was designed to develop conceptual understanding of the unique attributes
More informationTask: Will and Latisha s Tile Problem Algebra I
Tennessee Department of Education Task: Will and Latisha s Tile Problem Algebra I In math class, Will and Latisha were challenged to create their own pattern with tiles. Latisha built the first three arrangements
More informationUnit 7 Quadratic Relations of the Form y = ax 2 + bx + c
Unit 7 Quadratic Relations of the Form y = ax 2 + bx + c Lesson Outline BIG PICTURE Students will: manipulate algebraic expressions, as needed to understand quadratic relations; identify characteristics
More informationAssessment Anchors and Eligible Content
M07.AN The Number System M07.AN.1 M07.AN.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings
More informationBrunswick High School has reinstated a summer math curriculum for students Algebra 1, Geometry, and Algebra 2 for the 20142015 school year.
Brunswick High School has reinstated a summer math curriculum for students Algebra 1, Geometry, and Algebra 2 for the 20142015 school year. Goal The goal of the summer math program is to help students
More informationGRADES 7, 8, AND 9 BIG IDEAS
Table 1: Strand A: BIG IDEAS: MATH: NUMBER Introduce perfect squares, square roots, and all applications Introduce rational numbers (positive and negative) Introduce the meaning of negative exponents for
More informationCRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide
Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are
More informationIV. ALGEBRAIC CONCEPTS
IV. ALGEBRAIC CONCEPTS Algebra is the language of mathematics. Much of the observable world can be characterized as having patterned regularity where a change in one quantity results in changes in other
More informationUnit 3: Day 2: Factoring Polynomial Expressions
Unit 3: Day : Factoring Polynomial Expressions Minds On: 0 Action: 45 Consolidate:10 Total =75 min Learning Goals: Extend knowledge of factoring to factor cubic and quartic expressions that can be factored
More informationN Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
Performance Assessment Task Swimming Pool Grade 9 The task challenges a student to demonstrate understanding of the concept of quantities. A student must understand the attributes of trapezoids, how to
More informationSystems of Linear Equations and Inequalities
Systems of Linear Equations and Inequalities Recall that every linear equation in two variables can be identified with a line. When we group two such equations together, we know from geometry what can
More informationVolume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms.
Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game
More informationNEW MEXICO Grade 6 MATHEMATICS STANDARDS
PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical
More informationHigh School. High School. Page 1 Columbus Public Schools 8/11/04. Grids and Graphics
Page Columbus Public Schools 8//04 Table of Contents 0 by 0 Grids p. 3 20 by 20 Grids p. 4 Algebra Tiles Template p. 5 Bingo Card p. 6 Blank Geoboards p. 7 Blank Circle Graph p. 8 Blank Number Lines p.
More informationSpreadsheet Investigation (p. 368)
7 Spreadsheet Investigation (p. 368) A Preview of Lesson 71 Regular Average Day 1 of 11 Regular Advanced Day 1 of 11 Block Average Day 1 of 6 Block Advanced Day 1 of 6 Use a spreadsheet to investigate
More informationPreAP Algebra 2 Lesson 17 Graphing Absolute Value Functions
Lesson 17 Graphing Absolute Value Functions Name Objectives: In this activity, students will relate the piecewise function to the graph of the absolute value function and continue their development of
More informationPrentice Hall Mathematics: Algebra 1 2007 Correlated to: Michigan Merit Curriculum for Algebra 1
STRAND 1: QUANTITATIVE LITERACY AND LOGIC STANDARD L1: REASONING ABOUT NUMBERS, SYSTEMS, AND QUANTITATIVE SITUATIONS Based on their knowledge of the properties of arithmetic, students understand and reason
More information12 Geometry: Finding Volume and Surface Area
12 Geometry: Finding Volume and Surface Area Chapter Pacing Guide Please note that this pacing guide is based upon completing the entire text in 165 classes, approximately 50 minutes each. More time can
More informationDrawing 3D Objects in Perspective
Mathematics Instructional Materials SAS#.1 (one per pair of students) SAS#.2 (one per pair of students) TIS#.1 (transparency) TIS#.2 (transparency) TIS#.3 (Journal prompt) Isometric Dot Paper Isometric
More informationCourse Outlines. 1. Name of the Course: Algebra I (Standard, College Prep, Honors) Course Description: ALGEBRA I STANDARD (1 Credit)
Course Outlines 1. Name of the Course: Algebra I (Standard, College Prep, Honors) Course Description: ALGEBRA I STANDARD (1 Credit) This course will cover Algebra I concepts such as algebra as a language,
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 informationGrade 6 Mathematics Performance Level Descriptors
Limited Grade 6 Mathematics Performance Level Descriptors A student performing at the Limited Level demonstrates a minimal command of Ohio s Learning Standards for Grade 6 Mathematics. A student at this
More informationLesson Planning Guide (pp. 6 10) Teacher s Name Grade Class M Tu W Th F
11 Lesson Planning Guide (pp. 6 10) 1, 2, 4, 8, 9 Use the order of operations to evaluate expressions. Use formulas. Regular Average Day 1 of 9 Block Average Day 1 of 4.5 Building on Prior Knowledge,
More informationwith functions, expressions and equations which follow in units 3 and 4.
Grade 8 Overview View unit yearlong overview here The unit design was created in line with the areas of focus for grade 8 Mathematics as identified by the Common Core State Standards and the PARCC Model
More informationMarch 29, 2011. 171S4.4 Theorems about Zeros of Polynomial Functions
MAT 171 Precalculus Algebra Dr. Claude Moore Cape Fear Community College CHAPTER 4: Polynomial and Rational Functions 4.1 Polynomial Functions and Models 4.2 Graphing Polynomial Functions 4.3 Polynomial
More informationIn mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.
MATHEMATICS: THE LEVEL DESCRIPTIONS In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. Attainment target
More informationTITLE: Barbie Bungee
TITLE: Barbie Bungee Cube Fellow: Rachelle R. Bouchat Teacher Mentor: Pam Callahan Goal: The goal of this lesson is to have students use linear regression to determine a function relating the number of
More informationSQUARES AND SQUARE ROOTS
1. Squares and Square Roots SQUARES AND SQUARE ROOTS In this lesson, students link the geometric concepts of side length and area of a square to the algebra concepts of squares and square roots of numbers.
More informationPrentice Hall. California Edition of Algebra 1  Classics Edition (Smith/Charles) 2008. Grade 8
Prentice Hall Grade 8 California Edition of Algebra 1  Classics Edition (Smith/Charles) 2008 C O R R E L A T E D T O California s Map for a Basic Grade Level Program Grade 8 PROGRAM DESCRIPTION Prentice
More informationPerformance Based Learning and Assessment Task
Performance Based Learning and Assessment Task Tiling a Kitchen Floor I. ASSESSSMENT TASK OVERVIEW & PURPOSE: Students will use a variety of geometrical concepts and skills as they work with a partner
More informationCollege Algebra. Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition, McGrawHill, 2008, ISBN: 9780072867381
College Algebra Course Text Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition, McGrawHill, 2008, ISBN: 9780072867381 Course Description This course provides
More informationTEACHER S CORNER: ARCHAEOLOGY FOR THE CLASSROOM by Pamela Ashmore and Timothy Baumann
TEACHER S CORNER: ARCHAEOLOGY FOR THE CLASSROOM by Pamela Ashmore and Timothy Baumann [These activities come from a longer article about The Center for Human Origin and Cultural Diversity at the University
More informationDear Grade 4 Families,
Dear Grade 4 Families, During the next few weeks, our class will be exploring geometry. Through daily activities, we will explore the relationship between flat, twodimensional figures and solid, threedimensional
More informationMath 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.
Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used
More informationMath Courses Available After College Algebra. nsm.uh.edu
Math Courses Available After College Algebra This video is designed for: Students transferring into the University of Houston from a community college UH students with college algebra credit I have College
More information