Algebra Teacher's Activities Kit E-Book

Judith A. Muschla

• Herausgeber: John Wiley & Sons
• Kategorie: Bildung
• Sprache: Englisch

Veröffentlichungsjahr: 2015

Beschreibung

Help your students succeed with classroom-ready, standards-based activities

The Algebra Teacher's Activities Kit: 150 Activities That Support Algebra in the Common Core Math Standards helps you bring the standards into your algebra classroom with a range of engaging activities that reinforce fundamental algebra skills. This newly updated second edition is formatted for easy implementation, with teaching notes and answers followed by reproducibles for activities covering the algebra standards for grades 6 through 12. Coverage includes whole numbers, variables, equations, inequalities, graphing, polynomials, factoring, logarithmic functions, statistics, and more, and gives you the material you need to reach students of various abilities and learning styles. Many of these activities are self-correcting, adding interest for students and saving you time.

This book provides dozens of activities that

• Directly address each Common Core algebra standard
• Engage students and get them excited about math
• Are tailored to a diverse range of levels and abilities
• Reinforce fundamental skills and demonstrate everyday relevance

Algebra lays the groundwork for every math class that comes after it, so it's crucial that students master the material and gain confidence in their abilities. The Algebra Teacher's Activities Kit helps you face the challenge, well-armed with effective activities that help students become successful in algebra class and beyond.

Leseprobe

Table of Contents

Title Page

Copyright

About the Authors

Acknowledgments

Preface

Section 1: Ratios and Proportional Relationships

Teaching Notes for the Activities of Section 1

Reproducibles for Section 1 follow

Section 2: The Number System and Number and Quantity

Teaching Notes for the Activities of Section 2

Reproducibles for Section 2 follow

Section 3: Basic Expressions, Equations, and Inequalities

Teaching Notes for the Activities of Section 3

Reproducibles for Section 3 follow

Section 4: Polynomial, Rational, Exponential, and Radical Expressions, Equations, and Inequalities

Teaching Notes for the Activities of Section 4

Reproducibles for Section 4 follow

Section 5: Functions

Teaching Notes for the Activities of Section 5

Reproducibles for Section 5 follow

Section 6: Statistics and Probability

Teaching Notes for the Activities of Section 6

Reproducibles for Section 6 follow

Index

End User License Agreement

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Guide

Cover

Table of Contents

Begin Reading

List of Tables

Section 5: Functions

Table 1 Monthly High Temperature in Anchorage, Alaska (in Degrees Fahrenheit)

Table 2 Monthly High Temperature in Miami, Florida (in Degrees Fahrenheit)

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From ready-to-use classroom activities to the latest teaching framework, our value-packed books provide insightful, practical, and comprehensive materials on the topics that matter most to K–12 teachers. We hope to become your trusted source for the best ideas from the most experienced and respected experts in the field.

Algebra Teacher’s Activities Kit, Grades 6-12

150 Activities that Support Algebra in the Common Core Math Standards

Second Edition

Judith A. Muschla

Gary Robert Muschla

Erin Muschla-Berry

Copyright © 2016 by Judith A. Muschla, Gary Robert Muschla, and Erin Muschla-Berry. All rights reserved.

Published by Jossey-Bass

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Library of Congress Cataloging-in-Publication Data

Muschla, Judith A.

Algebra teacher's activities kit : 150 activities that support algebra in the common core math standards, grades 6-12 / Judith A. Muschla, Gary Robert Muschla, and Erin Muschla-Berry. – Second edition.

pages cm.

ISBN 978-1-119-04574-8 (paperback), 978-1-119-04560-1 (ePDF) and 978-1-119-04559-5 (epub)

1. Algebra–Study and teaching (Secondary)–Activity programs. I. Muschla, Gary Robert. II. Muschla-Berry, Erin. III. Title.

QA159.M87 2016

512.9071'2073–dc23

2015026767

Cover image: Wiley

Cover design: ©Linda Bucklin/iStockphoto

SECOND EDITION

About the Authors

Judith A. Muschla received her B.A. in mathematics from Douglass College at Rutgers University and is certified to teach K–12. She taught mathematics in South River, New Jersey, for over 25 years at various levels at both South River High School and South River Middle School. She wrote several math curriculums and conducted mathematics workshops for teachers and parents.

Together, Judith and Gary Muschla have coauthored several math books published by Jossey-Bass: Hands-On Math Projects with Real-Life Applications, Grades 3–5 (2009); The Math Teacher's Problem-a-Day, Grades 4–8 (2008); Hands-On Math Projects with Real-Life Applications, Grades 6–12 (1996; second edition, 2006); The Math Teacher's Book of Lists (1995; second edition, 2005); Math Games: 180 Reproducible Activities to Motivate, Excite, and Challenge Students, Grades 6–12 (2004); Algebra Teacher's Activities Kit (2003); Math Smart! Over 220 Ready-to-Use Activities to Motivate and Challenge Students, Grades 6–12 (2002); Geometry Teacher's Activities Kit (2000); and Math Starters! 5- to 10-Minute Activities to Make Kids Think, Grades 6–12 (1999).

Gary Robert Muschla received his B.A. and M.A.T. from Trenton State College and taught sixth grade in Spotswood, New Jersey, for more than 25 years. In addition to math resources, he has written several resources for English and writing teachers, among them Writing Workshop Survival Kit (1993; second edition, 2005); The Writing Teacher's Book of Lists (1991; second edition, 2004); Ready-to-Use Reading Proficiency Lessons and Activities, 10th Grade Level (2003); Ready-to-Use Reading Proficiency Lessons and Activities, 8th Grade Level (2002); Ready-to-Use Reading Proficiency Lessons and Activities, 4th Grade Level (2002); Reading Workshop Survival Kit (1997); and English Teacher's Great Books Activities Kit (1994), all published by Jossey-Bass.

Erin Muschla-Berry received her B.S. and M.Ed. from The College of New Jersey. She is certified to teach grades K–8 with Mathematics Specialization in Grades 5–8. She currently teaches math at Monroe Township Middle School in Monroe, New Jersey, and has presented workshops for math teachers for the Association of Mathematics Teachers of New Jersey. She has coauthored eight books with Judith and Gary Muschla for Jossey-Bass: Teaching the Common Core Math Standards with Hands-On Activities, Grades 9–12 (2015); Teaching the Common Core Math Standards with Hands-On Activities, Grades K–2 (2014); Teaching the Common Core Math Standards with Hands-On Activities, Grades 3–5 (2014); Math Starters, Second Edition: 5- to 10- Minute Activities Aligned with the Common Core Standards, Grades 6–12 (2013); Teaching the Common Core Math Standards with Hands-On Activities, Grades 6–8 (2012); The Algebra Teacher's Guide to Reteaching Essential Concepts and Skills (2011); The Elementary Teacher's Book of Lists (2010); and Math Teacher's Survival Guide, Grades 5–12 (2010).

Acknowledgments

We thank Chari Chanley, Ed.S., principal of Monroe Township Middle School, James Higgins, vice-principal of Monroe Township Middle School, and Scott Sidler, vice-principal of Monroe Township Middle School, for their support.

We also thank Kate Bradford, our editor at Jossey-Bass, for her support and suggestions as we developed this book.

We appreciate the support of our many colleagues who have encouraged us in our work over the years.

And we wish to acknowledge the many students we have had the satisfaction of teaching.

Preface

Algebra is the foundation for learning higher mathematics. Mastery of algebra prepares a student for subjects such as geometry, trigonometry, and calculus; hones a student's problem-solving skills; and fosters a student's ability to understand and express mathematical relationships.

The Algebra Teacher's Activities Kit, Grades 6–12, Second Edition: 150 Activities that Support Algebra in the Common Core Math Standards follows the same general structure as the first edition but with thoroughly updated activities. The original activities that have been retained have been revised, many activities have been retired, and many new activities have been added.

The new edition is divided into six sections:

Section 1

: “Ratios and Proportional Relationships,”

covering Standards from grade 6 through grade 7.

Section 2

: “The Number System and Number and Quantity,”

covering Standards from grade 6 through high school.

Section 3

: “Basic Expressions, Equations, and Inequalities,”

covering Standards from grade 6 through grade 8.

Section 4

: “Polynomial, Rational, Exponential, and Radical Expressions, Equations, and Inequalities,”

covering Standards for high school algebra.

Section 5

: “Functions,”

covering Standards from grade 8 through high school.

Section 6

: “Statistics and Probability,”

covering Standards from grade 6 through high school.

Each section is divided into two parts. The first part contains teaching notes for each activity that include a brief summary of what students are to do, suggestions for implementation, and an answer key. The second part contains the reproducibles of the section.

Every activity stands alone, is numbered according to its section, and is labeled with the Standard it supports. Reproducibles are numbered according to their activity. For example, Activity 3–23: (8.EE.8) “Solving Systems of Linear Equations Algebraically” is the 23rd activity in Section 3. Its reproducible is numbered 3–23 and shares the same title.

The activities in each section follow the general sequence of the Standards and progress from basic to advanced. The activities are suitable for supplementing your math program, for reinforcement, and for challenges. To provide students with quick feedback, as well as reduce your workload, many of the activities are self-correcting. Correct answers enable students to complete a statement or answer a question about math, which will verify that their answers are right. We suggest that you utilize the activities in a manner that best supports your program and meets the needs of your students.

The algebra skills covered in this book were drawn from the Common Core Math Standards for grades 6, 7, and 8; the algebra Standards for high school; and the Standards included in algebra I and algebra II courses in the traditional pathway, as noted in the Common Core State Standards for Mathematics, Appendix A, “Designing High School Mathematics Courses Based on the Common Core Standards.” Consequently, many Standards from number and quantity, functions, and statistics and probability that address algebraic concepts and skills are included in this book. Standards designated with a plus, which go beyond the typical curriculum, are not included. Because some of the Standards address skills and concepts that require multiple class periods of instruction, activities supporting these Standards usually focus on an aspect of the Standard.

We hope this book proves to be a useful addition to your math program and we wish you a successful and rewarding year of teaching.

Judith A. MuschlaGary Robert MuschlaErin Muschla-Berry

Section 1

Ratios and Proportional Relationships

Teaching Notes for the Activities of Section 1

1–1: (6.RP.1) Understanding Ratios

For this activity, your students will read statements that describe ratios. They will be given choices of ratios and must select the ratio that matches each statement. Answering a question at the end of the worksheet will enable students to check their answers.

Explain that a ratio compares two numbers or quantities. For example, if you have 5 markers and 2 are green and 3 are red, you can write a ratio comparing green markers to red markers as 2 to 3. You may instead write a ratio comparing the red markers to green markers as 3 to 2. Ratios can also be written with a colon, 2:3, or as a fraction, .

Discuss the directions on the worksheet, emphasizing that students are to choose the ratio that matches each statement. Remind students to answer the question at the end.

Answers

(1) O, 5:7 (2) A, 32:8 (3) H, 12 to 5 (4) T, 6 to 10 (5) E, (6) O, (7) T, 5 to 6 (8) P, (9) W, 8 to 2 (10) L, 3:2 (11) R, 2:25

The answer to the question is “whole to part.”

1–2: (6.RP.2) Unit Rates and Ratios

For this activity, your students are to determine if statements that describe unit rates associated with ratios are true or false. Answering a question at the end of the worksheet will enable them to check their answers.

Explain that a ratio that has a denominator of 1 is a unit rate. Examples of unit rates include: 4:1, , or 3 to 1. Unit rates may also be expressed as a quantity of 1, for example: 30 miles per gallon of gasoline or $3 per pound. Ratios such as 6:3, , and 2 to 9 do not represent unit rates. However, any ratio that compares two different quantities can be converted to a unit rate by writing the ratio as a fraction and dividing both numerator and denominator by the denominator. For example, or 2:1.

Discuss the directions on the worksheet with your students. After deciding whether a statement is true or false, they are to use the letters of correct answers to answer the question at the end.

Answers

(1) R, true (2) O, true (3) O, false (4) I, false (5) O, true (6) N, false (7) R, false (8) T, true (9) P, false (10) P, true The answer to the question is “proportion.”

1–3: (6.RP.3) Equivalent Ratios and the Coordinate Plane

For this activity, your students will complete tables of equivalent ratios and then plot the pairs of values in the coordinate plane. They will need rulers and graph paper.

Discuss the example on the worksheet. Explain that equivalent ratios can be found by writing the ratio as a fraction, and then multiplying or dividing the numerator and denominator by the same nonzero number. Note that the process is the same as finding equivalent fractions.

Explain that ratios can be expressed as ordered pairs in the coordinate plane. If necessary, review the coordinate plane, ordered pairs, and how students can plot points. Instruct them to place the origin of their coordinate plane near the center of their graph paper to ensure that they will have enough space to plot all of the points.

Go over the directions with your students. Emphasize that after completing the tables they must use the first value of each ratio as the x-coordinate and the second value as the y-coordinate. They are then to plot the ordered pairs and use their rulers to connect the points.

Answers

Table 1: 1:2, 2:4, 3:6, 4:8, 5:10 Table 2: 2:3, 4:6, 8:12 Table 3: 12:8, 6:4, 3:2

1–4: (6.RP.3) Finding the Percent of a Number and Finding the Whole

For this activity, your students will have two tasks: Find the percent of a number and find a whole, given the percent and a part.

If necessary, review that to find the percent of a number students should change the percent to a decimal or fraction and multiply. For example, , or .

Also review the process for finding the whole, given the percent and a part. Offer the following example: . In this case, students should say to themselves, “35% of what number is 14.” To find this number using a decimal, students should change the percent to a decimal and divide, . To find the number using a fraction, they should first change the percent to a fraction and simplify, and then divide, . You may want to note that solving these kinds of problems is usually easier when converting the percents to decimals.

Discuss the directions on the worksheet. Suggest that students follow the instructions at the end to see if their answers are most likely to be correct. (The term most likely is necessary for the rare case that students may make mistakes but still find the correct sum when adding their answers.)

Answers

(1) 16 (2) 27 (3) 6 (4) 3 (5) 24 (6) 12 (7) 35 (8) 15 (9) 80 (10) 32 The sum of the answers is 250. .

1–5: (7.RP.1) Finding Unit Rates

For this activity, your students will be given various problems for which they must find unit rates. Answering a question at the end of the worksheet will enable them to check their answers.