Strategies for Solving Word Problems BOOK


 Calvin Beasley
 2 years ago
 Views:
Transcription
1 STEP BY STEP MATH Strategies for Solving Word Problems BOOK E Teaches six basic strategies for solving word problems successfully Builds on the stepbystep problemsolving process Improves problemsolving skills and strengthens mathematical reasoning Provides practice with extendedresponse problems
2 To the Student Strategies for Solving Word Problems will help you more easily solve word problems in math. In this book, you will learn six math strategies plans for finding solutions to word problems. The strategies are taught as part of a sixstep process. You will learn how to choose and use the best strategy, step by step, to solve a word problem. This book has six lessons. In each lesson, you will see how one strategy can be used to solve word problems. With help, you will practice the strategy. After the lessons, you will use the six strategies to solve word problems on your own. Ask your teacher any time you have questions about your work. Table of Contents An Introduction to the Program...1 Strategy One: Draw a Diagram...Modeled Practice...2 Guided Practice...4 Independent Practice...5 Strategy Two: Find a Pattern...Modeled Practice...6 Guided Practice...8 Independent Practice...9 Strategy Three: Act It Out...Modeled Practice...10 Guided Practice...12 Independent Practice...13 Strategy Four: Make a Table...Modeled Practice...14 Guided Practice...16 Independent Practice...17 Strategy Five: Write an Equation...Modeled Practice...18 Guided Practice...20 Independent Practice...21 Strategy Six: Guess and Check...Modeled Practice...22 Guided Practice...24 Independent Practice...25 Mixed Practice...26 Glossary...36 ISBN X 2006 Curriculum Associates, Inc. No part of this book may be reproduced by any means without written permission from the publisher. All Rights Reserved. Printed in USA
3 An Introduction to the Program Strategies for Solving Word Problems provides practice using six math strategies: Draw a Diagram, Find a Pattern, Act It Out, Make a Table, Write an Equation, and Guess and Check. These strategies can help you find solutions to word problems, but you need to know when to use each strategy and how to use it. This chart gives an overview of the six strategies. Strategy When to Use It How to Use It 1. Draw a Diagram The problem gives information that can be shown in a diagram. The question asks for a solution that can be found by using the diagram. 2. Find a Pattern The problem gives information that follows a pattern. The question asks for a solution related to the pattern. 3. Act It Out The problem gives information that can be acted out. The question asks for a solution that can be found by acting something out. 4. Make a Table The problem gives more than one set of data. The question asks for the data to be continued. 5. Write an Equation The problem tells about a situation. The question asks for an unknown amount. 6. Guess and Check The problem gives a total amount. The question asks for the kind and number of items in the total. 1. Find the information needed for the diagram. 2. Draw and label the diagram with information from the problem. 3. Use the diagram to answer the question. 1. Find the information that follows a pattern. 2. Find the rule for the pattern. 3. Use the rule to solve the problem. 1. Find the information that can be acted out. 2. Act out the information in as many ways as possible. 3. Choose the way that answers the question. 1. List the sets of data. 2. Make a table of the data. Circle the information needed to answer the question. 1. Write what the situation is. 2. Write what the unknown is. 3. Choose a letter for the unknown. 4. Write an equation, and solve for the unknown. 1. Find the total amount. 2. Find the different items that make up the total. 3. Make a reasonable guess about the kind and number of items; then check it. Continue guessing and checking until the guess is correct. The first page of each lesson shows you when and how to use a strategy to solve a word problem. You will study an example problem that has been solved using the strategy. You will follow this model as you complete the lesson. In the last part of the book, you will use the six strategies to solve word problems on your own. A glossary is provided on page 36. 1
4 STUDY IT! Modeled Practice Strategy Three: Act It Out Study how Owen used the strategy Act It Out to solve the model word problem. He used this strategy because the problem gives information that can be acted out. Read why Owen chose Act It Out and how he found and checked his solution. PREVIEW and READ Model Word Problem Bart is tiling a floor in his house. He has 24 tiles that are a different color from the rest. He plans to use the 24 tiles in equal rows to make a rectangle in the middle of the floor. Bart wants the perimeter of the rectangle to be as small as possible. What arrangement of the 24 tiles has the smallest perimeter? Explain Why: I chose Act It Out because the problem gives information that I can act out with math tiles. The question asks for the smallest perimeter. I can find that information by trying different rectangles formed by 24 tiles. 1. Find the information that can be acted out: 24 tiles to be made into a rectangle with smallest perimeter 2. Act out the information: 3. Choose: the 6 x 4 rectangle PLAN and SOLVE Perimeter = Perimeter = 22 Perimeter = Explain How: I acted out the information and found 3 possible rectangles that can be made with 24 tiles in equal rows: 12 x 2; 8 x 3; 6 x 4. I counted the tiles in the perimeter of each rectangle and got 28, 22 and 20. The 6 x 4 square has the smallest perimeter. The arrangement of tiles with the smallest perimeter is a rectangle of 6 tiles by 4 tiles CHECK and REVIEW I used the formulas for area and perimeter to check my solution. Each rectangle has an area of 24 tiles (12 x 2 = 24; 8 x 3 = 24; 6 x 4 = 24). I used 2 x length + 2 x width to find the perimeter: (2 x 12) + (2 x 2) = 28; (2 x 8) + (2 x 3) = 22; (2 x 6) + (2 x 4) = 20.
5 TRY IT! Read the practice word problem. Explain why Act It Out can be used to solve the problem. Then solve the problem. Check your solution. HINTS PREVIEW and READ Practice Word Problem Taneka wants to make a table. She has 8 boards that are 72 inches long and 4 inches wide. Taneka can place the boards side by side and make a table that is 72 inches long. She could also cut the boards in half and place 16 boards side by side. Which plan would produce a table with a larger perimeter? The problem gives information that can be acted out. The question asks for a solution that can be found by acting something out. Explain Why: PLAN and SOLVE 1. Find the information that can be acted out. 2. Act out the information in as many ways as possible. 3. Choose the way that answers the question. Explain How: CHECK and REVIEW Check your solution by solving the problem another way. 11
6 TRY IT! Guided Practice Strategy Three: Act It Out Use the strategy Act It Out to solve the word problem. Show your work. Then check your solution. REMEMBER 1. Find the information that can be acted out. 2. Act out the information in as many ways as possible. 3. Choose the way that answers the question. PREVIEW and READ These students in Mr. Torres s class are lining up to play a math game: Julie, Amy, Cheryl, James, Pablo, Daniel. The students must alternate girlboygirlboy. A girl must go first. James can play only if he goes second. Two people who have names that begin with the same letter cannot be next to each other. Amy has to go before James, and Pablo cannot go last. How should the students line up from first to sixth? PLAN and SOLVE Explain How: CHECK and REVIEW 12
7 TRY IT! Independent Practice Strategy Three: Act It Out Use the strategy Act It Out to solve each word problem. Show your work. Then check your solution. 1. Colby is using two differentsize blocks to make an 8foot walkway. The large blocks are 12 inches long, and the short blocks are 6 inches long. He plans to leave an equal space between the blocks. Colby started with a long block and alternated with a short block. How much space should Colby leave between the blocks? 2. Benita has 36 sports cards. She says that 1 3 of the cards are baseball cards. Of the remaining cards, 1 4 are hockey cards. Benita says that 1 2 of the remaining cards are football cards. The rest of the cards are basketball cards. How many of each kind of card does Benita have? 13
LESSON 10 GEOMETRY I: PERIMETER & AREA
LESSON 10 GEOMETRY I: PERIMETER & AREA INTRODUCTION Geometry is the study of shapes and space. In this lesson, we will focus on shapes and measures of onedimension and twodimensions. In the next lesson,
More informationGrade 7/8 Math Circles March 2 & Word Problems
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing Grade 7/8 Math Circles March 2 & 3 2016 Word Problems Although they can be confusing, you can tame word
More informationFormulas for Area Area of Trapezoid
Area of Triangle Formulas for Area Area of Trapezoid Area of Parallelograms Use the formula sheet and what you know about area to solve the following problems. Find the area. 5 feet 6 feet 4 feet 8.5 feet
More informationNumber Models for Area
Number Models for Area Objectives To guide children as they develop the concept of area by measuring with identical squares; and to demonstrate how to calculate the area of rectangles using number models.
More informationLesson 3: Area. Selected Content Standards. Translating Content Standards into Instruction
Lesson 3: Area Selected Content Standards Benchmark Assessed: M.3 Estimating, computing, and applying physical measurement using suitable units (e.g., calculate perimeter and area of plane figures, surface
More informationMeasure the side of the figure to the nearest centimeter. Then find the perimeter. 1.
Measure the side of the figure to the nearest centimeter. Then find the perimeter. 1. a. 3 cm b. 6 cm c. 8 cm d. 9 cm 2. a. 4 cm b. 6 cm c. 8 cm d. 10 cm Powered by Cognero Page 1 Find the perimeter of
More informationAssessment Management
Area Objectives To provide experiences with the concept of area, distinguishing between area and perimeter, and finding areas of rectangular figures by partitioning and counting squares. www.everydaymathonline.com
More informationArea & Perimeter. for 3rd grade. a FREE collection of resources by The Curriculum Corner.
Area & Perimeter for 3rd grade a FREE collection of resources by The Curriculum Corner Finding the Perimeter & Area The perimeter is the distance around the outside of the shape. The area is the amount
More informationA CoinToss Experiment
A CoinToss Experiment Objective To guide children as they develop intuition equally likely events. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationHooray for the Hundreds Chart!!
Hooray for the Hundreds Chart!! The hundreds chart consists of a grid of numbers from 1 to 100, with each row containing a group of 10 numbers. As a result, children using this chart can count across rows
More informationMeasurement and Data. Talk About It. More Ideas. Formative Assessment. Have children try the following problem.
11 Area of Squares Objective Area, the amount of space a plane figure takes up, can be hard for children to grasp, unless they can see the object broken up into equal measures. Children should begin exploring
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 informationMultiplication and. Learning Goals U N I T
U N I T Multiplication and Learning Goals use different mental math strategies to multiply and divide multiply by 0, 1, and 10 divide by 1 recall multiplication and division facts identify and describe
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 informationWHAT IS AREA? CFE 3319V
WHAT IS AREA? CFE 3319V OPEN CAPTIONED ALLIED VIDEO CORPORATION 1992 Grade Levels: 59 17 minutes DESCRIPTION What is area? Lesson One defines and clarifies what area means and also teaches the concept
More informationSOLVING WORD PROBLEMS
SOLVING WORD PROBLEMS Word problems can be classified into different categories. Understanding each category will give be an advantage when trying to solve word problems. All problems in each category
More informationSquares and Square Roots
Squares and Square Roots Focus on After this lesson, you will be able to... φ determine the φ square of a whole number determine the square root of a perfect square The Pythagoreans were members of an
More informationLesson 18: Determining Surface Area of Three Dimensional Figures
Lesson 18: Determining the Surface Area of Three Dimensional Figures Student Outcomes Students determine that a right rectangular prism has six faces: top and bottom, front and back, and two sides. They
More informationArea and Perimeter: The Mysterious Connection TEACHER EDITION
Area and Perimeter: The Mysterious Connection TEACHER EDITION (TC0) In these problems you will be working on understanding the relationship between area and perimeter. Pay special attention to any patterns
More informationGeorgia Department of Education Common Core Georgia Performance Standards Framework Fourth Grade Mathematics Unit
Fourth Grade Mathematics Unit Constructing Task: Area and Perimeter Adapted from Fixed Perimeters and Fixed Areas in Teaching StudentCentered MATHEMATICS Grades 35 by John Van de Walle and LouAnn Lovin.
More informationHint for success: When tested in groups of students grade 3 and younger, this activity worked best as a centers activity.
Activities Grades 3 5 www.exploratorium.edu/geometryplayground/activities MAKING A TRANSLATION TESSELLATION Background: What is a tessellation? Suppose you wanted to cover a floor with tiles. You could
More information5.1. Area and Perimeter The Dot Game. My Notes ACTIVITY
Area and Perimeter SUGGESTED LEARNING STRATEGIES: Summarize/ Paraphrase/Retell, Think/Pair/Share, Use Manipulatives Have you ever played? Here is your chance to play a game during math class. Have fun.
More informationGrade 5 supplement. Set D1 Measurement: Area & Perimeter. Includes. Skills & Concepts
Grade 5 supplement Set D1 Measurement: Area & Perimeter Includes Activity 1: Measuring Area D1.1 Activity 2: Measuring Perimeter D1.5 Activity 3: The Ladybugs Garden D1.9 Activity 4: Hexarights D1.15 Independent
More informationMeasure Up. Label each ruler with the correct measurements. The rulers are in inches.
Student Activity 1 Name Measure Up Label each ruler with the correct measurements. The rulers are in inches. Use a ruler and draw a line that is: 4. 3 1/4 inches 5. 2 1/8 inches Be Precise Student Materials
More informationIn a triangle with a right angle, there are 2 legs and the hypotenuse of a triangle.
PROBLEM STATEMENT In a triangle with a right angle, there are legs and the hypotenuse of a triangle. The hypotenuse of a triangle is the side of a right triangle that is opposite the 90 angle. The legs
More informationSection 7.2 Area. The Area of Rectangles and Triangles
Section 7. Area The Area of Rectangles and Triangles We encounter two dimensional objects all the time. We see objects that take on the shapes similar to squares, rectangle, trapezoids, triangles, and
More informationGEOMETRY CIRCLING THE BASES
LESSON 3: PREVISIT  PERIMETER AND AREA OBJECTIVE: Students will be able to: Distinguish between area and perimeter. Calculate the perimeter of a polygon whose side lengths are given or can be determined.
More informationISBN:
OnlineResources This work is protected by United States copyright laws and is provided solely for the use of teachers and administrators in teaching courses and assessing student learning in their classes
More informationEssentials. Week by. Week. All About Data
Week by Week MATHEMATICS Essentials Mr. Ellen had the following exercise on the overhead projector for his class to do when they came in Monday morning. What was his message to the class? Look at or draw
More informationStudent Outcomes. Lesson Notes. Classwork. Exercises 1 3 (4 minutes)
Student Outcomes Students give an informal derivation of the relationship between the circumference and area of a circle. Students know the formula for the area of a circle and use it to solve problems.
More informationMathematics Second Practice Test 1 Levels 46 Calculator not allowed
Mathematics Second Practice Test 1 Levels 46 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your school
More informationGrade 5 Measurement: Additional Sample 1 Planning a Backyard
Grade 5 Measurement: Additional Sample 1 Planning a Backyard Context This class has had previous practice estimating and measuring the area and perimeter of irregular shapes. Mathematical Concepts recognize
More informationNew York State Testing Program Grade 3 Common Core Mathematics Test. Released Questions with Annotations
New York State Testing Program Grade 3 Common Core Mathematics Test Released Questions with Annotations August 2013 THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY
More informationPARCC Grade 04 Mathematics Practice Test Released April, 2014
1. Which statement about angles is true? A. An angle is formed by two rays that do not have the same end point. B. An angle that turns through of a circle has a measure of 360 degrees. C. An angle that
More informationDescribing and Solving for Area and Perimeter
Grade 3 Mathematics, Quarter 2,Unit 2.2 Describing and Solving for Area and Perimeter Overview Number of instruction days: 810 (1 day = 90 minutes) Content to Be Learned Distinguish between linear and
More informationMathematics and English Language Arts Support Resources for Grades 18
Mathematics and English Language Arts Support Resources for Grades 18 Grades 12 Common Core Clinics for Mathematics 2 Grades 12 Math Common Core Clinics Flexible and Focused Helps students develop number
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 informationGRADE 4 SUPPLEMENT. Set D5 Measurement: Area in Metric Units. Includes. Skills & Concepts
GRADE 4 SUPPLEMENT Set D5 Measurement: Area in Metric Units Includes Activity 1: Metric Rectangles D5.1 Activity 2: Ladybug Dream House D5.7 Independent Worksheet 1: Measuring Area in Metric Units D5.13
More informationMultiplying a Binomial by a Monomial
Looking 4 Ahead Then You have already multiplied monomials. (Lesson 93) Now Use models to multiply a binomial by a monomial. Multiply a binomial by a monomial to solve equations. New Vocabulary binomal
More informationArea and Circumference of Circles
Teacher Created Materials 21208 Focused Mathematics Student Guided Practice Book of Circles Learning Objectives Geometry Know the formulas for the area and circumference of a circle and use them to solve
More informationGrade 3. Measurement and Data 3.MD.7.ad 2012 COMMON CORE STATE STANDARDS ALIGNED MODULES
THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS Grade 3 Measurement and Data 3.MD.7.ad 2012 COMMON CORE STATE STANDARDS ALIGNED MODULES THE NEWARK PUBLIC SCHOOLS Office of Mathematics MATH TASKS Measurement
More informationPrime Time Notes. Problem 1.1
Problem 1.1 factor  one of two or more whole numbers that when multiplied together give a product proper factor  all the factors of that number, except the number itself abundant numbers  numbers whose
More informationGrade 4 Mathematics Measurement: Lesson 2
Grade 4 Mathematics Measurement: Lesson 2 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes and all information outside
More informationPaper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 6 8
Ma KEY STAGE 3 Mathematics test TIER 6 8 Paper 1 Calculator not allowed First name Last name School 2009 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You
More informationPracticing for the. TerraNova. Success on Standardized Tests for TerraNova Grade 2 3. McGrawHill School Division
Practicing for the TerraNova Success on Standardized Tests for TerraNova Grade 2 3 How can this booklet help? A note to families In the booklet you hold now, there is a practice version of the TerraNova.
More informationCourse: Grade 10 Applied Mathematics (MFM2P) Quadratic Relations of the Form y=ax 2 + bx + c
Course: Grade 10 Applied Mathematics (MFMP) Unit 6: Quadratic Relations of the Form y=ax + bx + c Unit 6 Quadratic Relations of the Form y=ax + bx + c Section Activity Page 6.1. Graphing Quadratic Relations
More informationMAIN IDEA The rectangle at the right has an area of 20 square units. The distance around the rectangle is 5 + 4 + 5 + 4, or 18 units.
19 Algebra: Area Formulas MAIN IDEA The rectangle at the right has an area of 20 square units. The distance around the rectangle is 5 + 4 + 5 + 4, or 1. Find the areas of rectangles and squares. New Vocabulary
More informationGeorgia Department of Education THIRD GRADE MATHEMATICS UNIT 3 STANDARDS
Dear Parents, THIRD GRADE MATHEMATICS UNIT 3 STANDARDS We want to make sure that you have an understanding of the mathematics your child will be learning this year. Below you will find the standards we
More informationPaper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 5 7
Ma KEY STAGE 3 Mathematics test TIER 5 7 Paper 1 Calculator not allowed First name Last name School 2009 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You
More informationGuiding the Reading. Day 1. Before Reading. During Reading. Categorize and Classify. Focus Attention. Vocabulary. Other Words to Know. (pp.
TM Celebration Press Reading DRA2 Level 38 Guided Reading Level P Genre: Nonfiction Reference Reading Skill: Categorize and Classify Encyclopedia of World Sports By Maddalen Esposito Encyclopedia of World
More informationWhen solving application problems, you should have some procedure that you follow (draw a diagram, define unknown values, setup equations, solve)
When solving application problems, you should have some procedure that you follow (draw a diagram, define unknown values, setup equations, solve) Once again when solving applied problems I will include
More informationBALLPARK FIGURES. Problems #17 will be worked out as a class 1. Definition of Perimeter. 2. Formula or method for finding Perimeter
BALLPARK FIGURES Name: Date: Goal of lesson: This lesson will lead you through a number of activities (based on the theme of a baseball field) to build your understanding, through experience, of situations
More information7.2. Multiplying Polynomials by Monomials. Focus on
7.2 Focus on After this lesson, you will be able to multiply a polynomial by a monomial Multiplying Polynomials by Monomials In the 1880s, braking a train was a tough job. The engineer whistled down for
More informationGot Your Back 5c. Students will be able to find the area of triangles and parallelograms.
Got Your Back 5c Students will be able to find the area of triangles and parallelograms. Lesson Objective: Students will be able to find the area of triangles and parallelograms. Materials Worksheet:
More informationThe Circumference Function
2 Geometry You have permission to make copies of this document for your classroom use only. You may not distribute, copy or otherwise reproduce any part of this document or the lessons contained herein
More informationOA310 Patterns in Addition Tables
OA310 Patterns in Addition Tables Pages 60 63 Standards: 3.OA.D.9 Goals: Students will identify and describe various patterns in addition tables. Prior Knowledge Required: Can add two numbers within 20
More informationMiddle Value (Median) of a Set of Data
Middle Value (Median) of a Set of Data Objectives To guide children as they sort numerical data and arrange data in ascending or descending order, and as they find the middle value (median) for a set of
More informationMath Journal HMH Mega Math. itools Number
Lesson 1.1 Algebra Number Patterns CC.3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. Identify and
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 informationNS650 Dividing Whole Numbers by Unit Fractions Pages 16 17
NS60 Dividing Whole Numbers by Unit Fractions Pages 6 STANDARDS 6.NS.A. Goals Students will divide whole numbers by unit fractions. Vocabulary division fraction unit fraction whole number PRIOR KNOWLEDGE
More informationMagnets. Teacher s Guide. Level C/3. Small Group Reading Lesson Skills Bank Reproducible Activities
Level C/3 Science Teacher s Guide Skills & Strategies Anchor Comprehension Strategies Identify Cause and Effect Summarize Information Phonemic Awareness Listening for words with /i/ Phonics Short i Concepts
More informationLevel Descriptors Maths Level 15
Level Descriptors Maths Level 15 What is APP? Student Attainment Level Descriptors APP means Assessing Pupil Progress. What are the APP sheets? We assess the children in Reading, Writing, Speaking & Listening,
More information21 Creating and Solving Equations. I will create equations to represent situations and solve them to work out problems in context.
21 Creating and Solving Equations I will create equations to represent situations and solve them to work out problems in context. Linear Equations To create an equation to represent a word problem, follow
More informationAssessment Management
Areas of Rectangles Objective To reinforce students understanding of area concepts and units of area. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationFree PreAlgebra Lesson 55! page 1
Free PreAlgebra Lesson 55! page 1 Lesson 55 Perimeter Problems with Related Variables Take your skill at word problems to a new level in this section. All the problems are the same type, so that you can
More informationA REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
Performance Assessment Task Magic Squares Grade 9 The task challenges a student to demonstrate understanding of the concepts representing and analyzing mathematical situations and structures with algebraic
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 informationPerimeter, Area, and Volume
Perimeter is a measurement of length. It is the distance around something. We use perimeter when building a fence around a yard or any place that needs to be enclosed. In that case, we would measure the
More informationMATH STUDENT BOOK. 7th Grade Unit 9
MATH STUDENT BOOK 7th Grade Unit 9 Unit 9 Measurement and Area Math 709 Measurement and Area Introduction 3 1. Perimeter 5 Perimeter 5 Circumference 11 Composite Figures 16 Self Test 1: Perimeter 24 2.
More informationCONNECT: Areas, Perimeters
CONNECT: Areas, Perimeters 1. AREAS OF PLANE SHAPES A plane figure or shape is a twodimensional, flat shape. Here are 3 plane shapes: All of them have two dimensions that we usually call length and width
More informationMathematics Test Book 2
Mathematics Test Grade 6 March 6 12, 2008 Name 20298 Developed and published by CTB/McGrawHill LLC, a subsidiary of The McGrawHill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 939405703.
More informationMMLA Student Test/MathAssessments.MSCenters.Org. MMLA Mathematics Assessment Items
Page 1 of 42 MMLA Mathematics Assessment Items Name: Date: Multiple Choice Questions Select the one best answer for each question. 1. Which of the following sets of numbers are all of the factors of 24?
More informationMultiplication of Whole Numbers & Factors
Lesson Number 3 Multiplication of Whole Numbers & Factors Professor Weissman s Algebra Classroom Martin Weissman, Jonathan S. Weissman. & Tamara Farber What Are The Different Ways To Show Multiplication?
More informationTitle: Surface Area and Volume
X Stackable Cert. Documentation Technology Study / Life skills ELCivics Career Pathways Police Paramedic Fire Rescue Medical Asst. EKG / Cardio Phlebotomy Practical Nursing Healthcare Admin Pharmacy Tech
More informationWheels Diameter / Distance Traveled
Mechanics Teacher Note to the teacher On these pages, students will learn about the relationships between wheel radius, diameter, circumference, revolutions and distance. Students will use formulas relating
More informationNumeracy Performance Standards Revision
Numeracy Performance Standards Revision Instructions for FieldTesting Context Over the past year, the Ministry has been working with math educators to update the BC Numeracy Performance Standards to ensure
More informationManipulative Mathematics Using Manipulatives to Promote Understanding of Math Concepts
Manipulative Mathematics Using Manipulatives to Promote Understanding of Math Concepts Area and Perimeter Visualizing Area and Perimeter Measuring Area and Perimeter Manipulatives used: Square color tiles
More information3 rd Grade Mathematics
3 rd Grade Mathematics Unit #3 : Relating Area to Multiplication and Division Pacing: 29 Days Unit Overview In this unit, students extend their understanding of multiplication and division (Unit 2) by
More informationUnit 2 Measurement: Optimization
Unit 2 Measurement: Optimization Grade 9 Applied Lesson Outline BIG PICTURE Students will: describe relationships between measured quantities; connect measurement problems with finding optimal solutions
More informationGrade 6 Math Circles. Algebra
Faculty of Mathematics Waterloo, Ontario N2L 3G1 Grade 6 Math Circles October 8/9, 2013 Algebra Note: Some material and examples from the Tuesday lesson were changed for the Wednesday lesson. These notes
More informationFamily Letters. Assessment Management. Playing Fraction Of
Formula for the Area of a Parallelogram Objectives To review the properties of parallelograms; and to guide the development and use of a formula for the area of a parallelogram. www.everydaymathonline.com
More informationGeometry: A Better Understanding of Area
Geometry: A Better Understanding of Area 6G1. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other
More informationNC DEPARTMENT OF PUBLIC INSTRUCTION
Rectangle Riddles Common Core Standard: Work with equal groups of objects to gain foundations for multiplication. 2.G.2 Partition a rectangle into rows and columns of samesize squares and count to find
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 informationLesson Idea by: Van McPhail, Okanagan Mission Secondary School, Kelowna, B.C.
Click to Print This Page Pixelmaniacs Computer Game Designer Lesson Idea by: Van McPhail, Okanagan Mission Secondary School, Kelowna, B.C. Computer game designers create concepts for new computer games.
More informationPrime Time: Homework Examples from ACE
Prime Time: Homework Examples from ACE Investigation 1: Building on Factors and Multiples, ACE #8, 28 Investigation 2: Common Multiples and Common Factors, ACE #11, 16, 17, 28 Investigation 3: Factorizations:
More informationParent Roadmap to Common Core Standards. English Language Arts
Parent Roadmap to Common Core Standards America s schools are working to provide higher quality instruction than ever before. The way we taught students in the past simply does not prepare them for the
More informationGrade 4 Unit 3: Multiplication and Division; Number Sentences and Algebra
Grade 4 Unit 3: Multiplication and Division; Number Sentences and Algebra Activity Lesson 31 What s My Rule? page 159) Everyday Mathematics Goal for Mathematical Practice GMP 2.2 Explain the meanings
More informationGrade 3 FSA Mathematics Practice Test Questions
Grade 3 FSA Mathematics Practice Test Questions The purpose of these practice test materials is to orient teachers and students to the types of questions on paperbased FSA tests. By using these materials,
More informationPerimeter, Area and Volume What Do Units Tell You About What Is Being Measured? Teacher Materials
Lesson 1 Perimeter, Area and Volume What Do Units Tell You About What Is Being Measured? Teacher Materials Perimeter: The Line Club T1: Before class: Copy one set of student pages for each student in the
More informationProblemSolving Lessons
Grade 5 ProblemSolving Lessons Introduction What is a problemsolving lesson? A JUMP Math problemsolving lesson generally follows the format of a regular JUMP Math lesson, with some important differences:
More informationTABLE OF CONTENTS Click on a title to go directly to the handout. Handout 2: Proportions and Rectangles #1. Handout 3: Proportions and Rectangles #2
SCALE CITY The Road to Proportional Reasoning: Murals Handouts TABLE OF CONTENTS Click on a title to go directly to the handout. Handout 1: Rectangle Review Practice calculating area Handout 2: Proportions
More informationparent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE TWO
TM parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE TWO 2 America s schools are working to provide higher quality instruction than ever before. The way we taught students in the past simply does
More informationGrade 9 Mathematics Unit #1 Number Sense SubUnit #1 Rational Numbers. with Integers Divide Integers
Page1 Grade 9 Mathematics Unit #1 Number Sense SubUnit #1 Rational Numbers Lesson Topic I Can 1 Ordering & Adding Create a number line to order integers Integers Identify integers Add integers 2 Subtracting
More informationEQUATIONS. Main Overarching Questions: 1. What is a variable and what does it represent?
EQUATIONS Introduction to Variables, Algebraic Expressions, and Equations (2 days) Overview of Objectives, students should be able to: Main Overarching Questions: 1. Evaluate algebraic expressions given
More informationThe PartialQuotients Division Algorithm, Part 1
The PartialQuotients Division Algorithm, Part 1 Objectives To introduce and provide practice with a lowstress division algorithm for 1digit divisors. www.everydaymathonline.com epresentations etoolkit
More informationDay One: Introducing Unifix Cubes and Work Mats
Day One: Introducing Unifix Cubes and Work Mats Finger Play or Counting (Your choice. Doesn t really matter which one you chose today, however this will be setting the tone for your minilessons) p. 34
More informationApply and extend previous understandings of arithmetic to algebraic expressions. Draft
6th Grade  Expressions and Equations 1 Standard: 6.EE.1 No Calculator: Write and evaluate numerical expressions involving wholenumber exponents The population of fruit flies increases by a factor of
More informationExample 1 Find an unknown measure given the area.
Name Find Unknown Measures Essential Question How can you find an unknown measure of a rectangle given its area or perimeter Lesson 13.4 Measurement and Data 4.MD.A.3 MATHEMATICAL PRACTICES MP2, MP4, MP7
More information