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Teaching the Common Core Math Standards with Hands-On Activities, Grades 6-8


Teaching the Common Core Math Standards with Hands-On Activities, Grades 6-8


1. Aufl.

von: Judith A. Muschla, Gary R. Muschla, Erin Muschla

21,99 €

Verlag: Wiley
Format: PDF
Veröffentl.: 21.03.2012
ISBN/EAN: 9781118224120
Sprache: englisch
Anzahl Seiten: 272

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Beschreibungen

<b>Helpful advice for teaching Common Core Math Standards to middle-school students</b> <p>The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. <i>Hands-on Activities for Teaching the Common Core Math Standards</i> is designed to help teachers instruct their students so that they will better understand and apply the skills outlined in the Standards.</p> <p>This important resource also gives teachers a wealth of tools and activities that can encourage students to think critically, use mathematical reasoning, and employ various problem-solving strategies.</p> <ul> <li>Filled with activities that will help students gain an understanding of math concepts and skills correlated to the Common Core State Math Standards</li> <li>Offers guidance for helping students apply their understanding of math concepts and skills, develop proficiency in calculations, and learn to think abstractly</li> <li>Describes ways to get students to collaborate with other students, utilize technology, communicate ideas about math both orally and in writing, and gain an appreciation of the significance of mathematics to real life</li> </ul> <p>This practical and easy-to-use resource will help teachers give students the foundation they need for success in higher mathematics.</p>
<p>About This Book v</p> <p>About the Authors vii</p> <p>Acknowledgments ix</p> <p><b>Section 1: Standards and Activities for Grade 6 1</b></p> <p>Ratios and Proportional Relationships: 6.RP.1 2</p> <p>Activity: Ratios All Around Us 2</p> <p>Ratios and Proportional Relationships: 6.RP.2 4</p> <p>Activity: Unit Rate Tic-Tac-Toe 4</p> <p>Ratios and Proportional Relationships: 6.RP.3 6</p> <p>Activity: The Faster Rate 7</p> <p>The Number System: 6.NS.1 9</p> <p>Activity: Modeling Division of Fractions 9</p> <p>The Number System: 6.NS.2 12</p> <p>Activity 1: Snork’s Long Division 12</p> <p>Activity 2: Long Division Relay Race 13</p> <p>The Number System: 6.NS.3 15</p> <p>Activity: Decimal Operation Tournament 15</p> <p>The Number System: 6.NS.4 17</p> <p>Activity: The Numbers Game 17</p> <p>The Number System: 6.NS.5 19</p> <p>Activity: Finding the Opposite 19</p> <p>The Number System: 6.NS.6 22</p> <p>Activity 1: Graphing on a Number Line 22</p> <p>Activity 2: Bonk the Mole 24</p> <p>The Number System: 6.NS.7 25</p> <p>Activity: An Old-Fashioned Number Line 25</p> <p>The Number System: 6.NS.8 27</p> <p>Activity: The Maze Game 27</p> <p>Expressions and Equations: 6.EE.1 29</p> <p>Activity: Find Which Does Not Belong 29</p> <p>Expressions and Equations: 6.EE.2 32</p> <p>Activity: And It Equals 32</p> <p>Expressions and Equations: 6.EE.3 35</p> <p>Activity: Presenting Properties 35</p> <p>Expressions and Equations: 6.EE.4 37</p> <p>Activity: Partner Quiz 37</p> <p>Expressions and Equations: 6.EE.5 39</p> <p>Activity: Three in a Row 39</p> <p>Expressions and Equations: 6.EE.6 42</p> <p>Activity: A Slice of Life with Variables and Expressions 42</p> <p>Expressions and Equations: 6.EE.7 44</p> <p>Activity: Equations, Equations, Equations 44</p> <p>Expressions and Equations: 6.EE.8 46</p> <p>Activity: Find Your Match 47</p> <p>Expressions and Equations: 6.EE.9 51</p> <p>Activity 1: Examining Relationships 51</p> <p>Activity 2: Comparing Heart Rates 52</p> <p>Geometry: 6.G.1 54</p> <p>Activity 1: It’s Half 54</p> <p>Activity 2: It’s Awe-Sum 55</p> <p>Geometry: 6.G.2 57</p> <p>Activity: It’s Voluminous 57</p> <p>Geometry: 6.G.3 60</p> <p>Activity: Initials 60</p> <p>Geometry: 6.G.4 63</p> <p>Activity: Finding the Surface Area of Nets 63</p> <p>Statistics and Probability: 6.SP.1 65</p> <p>Activity: Statistical Questions Versus Nonstatistical Questions 65</p> <p>Statistics and Probability: 6.SP.2 67</p> <p>Activity: And the Answer is 67</p> <p>Statistics and Probability: 6.SP.3 69</p> <p>Activity: Measure of Center Versus Measure of Variation 69</p> <p>Statistics and Probability: 6.SP.4 72</p> <p>Activity: Creating Data Displays 72</p> <p>Statistics and Probability: 6.SP.5 75</p> <p>Activity: Summarizing Data 75</p> <p><b>Section 2: Standards and Activities for Grade 7 79</b></p> <p>Ratios and Proportional Relationships: 7.RP.1 80</p> <p>Activity: What  in s the Unit Rate? 81</p> <p>Ratios and Proportional Relationships: 7.RP.2 84</p> <p>Activity: Proportions Scavenger Hunt 84</p> <p>Ratios and Proportional Relationships: 7.RP.3 86</p> <p>Activity 1: Gifts for the Holidays 86</p> <p>Activity 2: Very Interesting 89</p> <p>The Number System: 7.NS.1 90</p> <p>Activity: The Virtual Classroom 90</p> <p>The Number System: 7.NS.2 92</p> <p>Activity 1: The Distributive Property War 93</p> <p>Activity 2: Which One Should Be Excluded? 96</p> <p>The Number System: 7.NS.3 98</p> <p>Activity: Playing the Stock Market 98</p> <p>Expressions and Equations: 7.EE.1 104</p> <p>Activity: Algebraic Expressions Jigsaw 104</p> <p>Expressions and Equations: 7.EE.2 106</p> <p>Activity: Rewriting Expressions 106</p> <p>Expressions and Equations: 7.EE.3 108</p> <p>Activity: Estimation Game 108</p> <p>Expressions and Equations: 7.EE.4 110</p> <p>Activity 1: Writing Equations 110</p> <p>Activity 2: Solving Inequalities 112</p> <p>Geometry: 7.G.1 114</p> <p>Activity: Scaling Your Classroom 114</p> <p>Geometry: 7.G.2 116</p> <p>Activity: Creating Triangles 116</p> <p>Geometry: 7.G.3 119</p> <p>Activity 1: A Virtual Cube 119</p> <p>Activity 2: Slicing Figures 120</p> <p>Geometry: 7.G.4 121</p> <p>Activity 1: Circle Scavenger Hunt 121</p> <p>Activity 2: What’s the Relationship? 122</p> <p>Geometry: 7.G.5 124</p> <p>Activity: What’s the Angle? 124</p> <p>Geometry: 7.G.6 127</p> <p>Activity: Let’s Build It 127</p> <p>Statistics and Probability: 7.SP.1 129</p> <p>Activity: Examining Samples 129</p> <p>Statistics and Probability: 7.SP.2 131</p> <p>Activity: How Many Cubes? 131</p> <p>Statistics and Probability: 7.SP.3 133</p> <p>Activity: How Well Did They Do? 133</p> <p>Statistics and Probability: 7.SP.4 136</p> <p>Activity: What Can We Say? 136</p> <p>Statistics and Probability: 7.SP.5 139</p> <p>Activity: On a Scale of Zero to One 139</p> <p>Statistics and Probability: 7.SP.6 143</p> <p>Activity: Probability Simulations 143</p> <p>Statistics and Probability: 7.SP.7 145</p> <p>Activity 1: Spinner Experiment 145</p> <p>Activity 2: Flipping a Marshmallow 146</p> <p>Statistics and Probability: 7.SP.8 148</p> <p>Activity 1: Working with Sample Spaces 148</p> <p>Activity 2: Simulating Events 149</p> <p><b>Section 3: Standards and Activities for Grade 8 151</b></p> <p>The Number System: 8.NS.1 152</p> <p>Activity: Math Tic-Tac-Toe 153</p> <p>The Number System: 8.NS.2 154</p> <p>Activity 1: Zeroing In 154</p> <p>Activity 2: Irrational Numbers—They’re Insane 155</p> <p>Expressions and Equations: 8.EE.1 157</p> <p>Activity: What Does It Equal? 157</p> <p>Expressions and Equations: 8.EE.2 160</p> <p>Activity: Creating Squares and Cubes 161</p> <p>Expressions and Equations: 8.EE.3 162</p> <p>Activity 1: Expressing Numbers in Scientific Notation 162</p> <p>Activity 2: It’s How Many Times as Much 163</p> <p>Expressions and Equations: 8.EE.4 165</p> <p>Activity 1: Math Bingo 166</p> <p>Activity 2: Metric Prefixes 167</p> <p>Expressions and Equations: 8.EE.5 169</p> <p>Activity: It’s Proportional 169</p> <p>Expressions and Equations: 8.EE.6 171</p> <p>Activity 1: The Slope is the Same 171</p> <p>Activity 2: I Have Derived It 172</p> <p>Expressions and Equations: 8.EE.7 176</p> <p>Activity: Which One Doesn’t Belong? 177</p> <p>Expressions and Equations: 8.EE.8 179</p> <p>Activity 1: What’s the Point? 180</p> <p>Activity 2: Students Teaching 181</p> <p>Functions: 8.F.1 183</p> <p>Activity 1: Using a Function Machine 183</p> <p>Activity 2: And Now for a Skit, a Song, a Poem, or a 184</p> <p>Functions: 8.F.2 185</p> <p>Activity: What’s My Function? 185</p> <p>Functions: 8.F.3 189</p> <p>Activity: A Function Scavenger Hunt 189</p> <p>Functions: 8.F.4 191</p> <p>Activity 1: Four in a Row 191</p> <p>Activity 2: Everyday Uses of Linear Functions 192</p> <p>Functions: 8.F.5 198</p> <p>Activity: Describing a Graph 198</p> <p>Geometry: 8.G.1 201</p> <p>Activity: Transformations 201</p> <p>Geometry: 8.G.2 205</p> <p>Activity 1: Find the Image 205</p> <p>Activity 2: From Here to There 206</p> <p>Geometry: 8.G.3 210</p> <p>Activity: I’ve Scrambled My Notes 210</p> <p>Geometry: 8.G.4 215</p> <p>Activity: I Found the Image 215</p> <p>Geometry: 8.G.5 219</p> <p>Activity 1: Finding the Sum of the Interior Angles of a Triangle 220</p> <p>Activity 2: Finding the Sum of the Exterior Angles of a Triangle 221</p> <p>Activity 3: Angles, Parallel Lines, and Transversals 222</p> <p>Activity 4: Angle-Angle Similarity 223</p> <p>Geometry: 8.G.6 227</p> <p>Activity 1: I Can Explain It 227</p> <p>Activity 2: The Pythagorean Puzzle 228</p> <p>Geometry: 8.G.7 230</p> <p>Activity: Applying the Pythagorean Theorem 230</p> <p>Geometry: 8.G.8 232</p> <p>Activity: Finding the Distance 232</p> <p>Geometry: 8.G.9 234</p> <p>Activity: Finding the Volume 234</p> <p>Statistics and Probability: 8.SP.1 237</p> <p>Activity: Making a Scatter Plot 237</p> <p>Statistics and Probability: 8.SP.2 239</p> <p>Activity: Drawing the Line of Best Fit 239</p> <p>Statistics and Probability: 8.SP.3 241</p> <p>Activity: Using Linear Equations to Solve Problems 241</p> <p>Statistics and Probability: 8.SP.4 243</p> <p>Activity: Analyzing Two-Way Tables 244</p> <p>Index 247</p>
<p><b>JUDITH A. MUSCHLA</b> has taught mathematics in South River, New Jersey, for over twenty-five years. She has been a member of the state Standards Review Panel for the Mathematics Core Curriculum Content Standards in New Jersey. <b>GARY ROBERT MUSCHLA</b> taught at Appleby School in Spotswood, New Jersey, for more than twenty-five years. Judith and Gary have coauthored several books, including <i>The Algebra Teacher's Activities Kit, Hands-On Math Projects with Real Life Applications, The Math Teacher's Book of Lists,</i> and <i>Math Starters</i>. <b>ERIN MUSCHLA</b> teaches 8th grade math and algebra at Monroe Township Middle School in Monroe, New Jersey, and has collaborated with Judith and Gary on three previous math books.
<p><b>Teaching the Common Core Math Standards with Hands-On Activities</b> <p>The Common Core State Standards for Mathematics were developed to help teachers give students a thorough knowledge of math at each grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. <i>Teaching the Common Core Math Standards with Hands-On Activities</i> is designed to provide teachers with the information, strategies, and activities they need to instruct their students in all of the standards for Grades 6–8. <p><i>Teaching the Common Core Math Standards with Hands-On Activities</i> contains <ul> <li>Over 100 activities correlated to the Common Core State Math Standards</li> <li>Guidance for supporting students as they learn to apply their understanding of math concepts and skills, develop proficiency in calculations, and learn to think abstractly</li> <li>Methods for encouraging students to collaborate with other students, utilize technology, communicate ideas about math both orally and in writing, and gain an appreciation of the significance of math to real life</li> </ul> <p>This essential resource includes a wealth of tools and activities that will help students learn to think critically, use mathematical reasoning, and employ a variety of problem-solving strategies. <p>"A must-have for anyone concerned with today's middle school mathematics education. The authors give outstanding, hands-on, and technologically appropriate activities that support the instruction of the CCSS standards." —<b>PAT MOWER</b>, associate professor, Department of Mathematics and Statistics, Washburn University, Kansas <p>"Once again the Muschla writing team has produced a timely, comprehensive, resource book for teachers. Activities provide reinforcement and enrichment of concepts and skills already introduced and developed in the classroom, and the authors skillfully stress oral and written communication among students, along with the use of instructional web sites and real-world applications." —<b>FRANCES M. THOMPSON</b>, professor emerita, Texas Woman's University

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