Thinking Graphically About Math

Mathematics, Grade 5

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33-1010 math math GRAPHICALLYTMabout Thinking Copyright © NewPath Learning. All rights reserved. www.newpathlearning.com \|xiBAHBDy01246nzW 10 LAMINATED FLIP CHARTS Per Set Use with a Dry-Erase Marker! WRITE-ON / WIPE-OFF WRITE-ON / WIPE-OFF
GRAPHICALLYabout Thinking TM Phone: 800-507-0966 Fax: 800-507-0967 www.newpathlearning.com NewPath Learning® products are developed by teachers using research-based principles and are classroom tested. The company’s product line consists of an array of proprietary curriculum review games, workbooks, posters and other print materials. All products are supplemented with web-based activities, assessments and content to provide an engaging means of educating students on key, curriculum-based topics correlated to applicable state and national education standards. Copyright © 2009 NewPath Learning. All Rights Reserved. Printed in the United States of America. Thinking GraphicallyTM About Math Flip Chart Set provides an overview of the most frequently covered topics in the NCTM focal points. These tools provide a structured basis for understanding relationships, representing information, making models and analyzing data. Designed to complement any Math program, the collection promotes active engagement of ten thematic strands. Each flip chart provides effective focal points for discussion, lesson models and explicit instruction. It also serves as a perfect foundation for learning center activities. Each Thinking GraphicallyTM Flip Chart Set features 10 double-sided laminated charts, each 12” x 18”. Side 1 features student-friendly, “write-on/wipe-off” activity templates Side 2 displays completed examples and instructions Spiral bound on a durable free-standing easel Activity Guide with black-line copy-masters and suggested activities HOW TO USE Classroom Use Each Thinking GraphicallyTM About Flip Chart can be used for enhancing math instruction. The front page of each flip chart contains a colorful graphic for visually organizing information related to topics and strategies of math comprehension. The flip side pages provide classroom examples for completing the graphic organizer at the primary and intermediate levels. Note: Be sure to use an appropriate dry-erase marker and to test it on a small section of the chart prior to using it. The Activity Guide included provides a black-line master of each Flip Chart which students can use to fill in before, during or after instruction. For each chart, there is a suggested list of instructional lessons. Thinking GraphicallyTM About Math Flip Charts are a great supplement to any math program. While the activities in the guide can be used in conjunction with the Flip Charts, they can also be used individually for review or as a form of assessment or in conjunction with any other related assignment. Learning Centers Each Flip Chart provides students with a variety of opportunities to visually comprehend and organize math concepts. Students may use these Flip Charts in small group settings along with the corresponding activity pages contained in the guide to learn or review math skills or strategies already covered during guided instruction. Independent student use Students can use the hands-on flip charts to practice and learn independently by creating their own graphic organizers. The graphic organizers are also ideal for assessment of topic or strategy understanding and application. Reference/Teaching resource Thinking GraphicallyTM Charts are a great supplement to any curriculum or they can be used in conjunction with NewPath’s Curriculum Mastery® Games. Chart # 1: Chart # 2: Chart # 3: Chart # 4: Chart # 5: Chart # 6: Chart # 7: Chart # 8: Chart # 9: Chart #10: Function Machine Box It Up Shape Up Dot to Dot Columns Across Circle Around Magic Squares Step It Up Triangle Tricks Star Mathematicians math math
Function Machine © Copyright NewPath Learning. All Rights Reserved. 93-6151 www.newpathlearning.com Purpose: Purpose
Primary Examples Intermediate Examples © Copyright NewPath Learning. All Rights Reserved. 93-6151 www.newpathlearning.com Function Machine +1 -1 +0 -0 10 11 9 10 10 3 1 2 2 10 8 9 9 5 3 4 4 6 4 5 5 7 5 6 6 2 9 4 5 6 x10 20 200 20 125 200 300 30 185 300 400 40 245 400 500 50 305 500 600 60 365 600 1000 100 605 1000 30 40 50 60 100 ÷1 x6+5 ÷10x 100
= © Copyright NewPath Learning. All Rights Reserved. 93-6152 www.newpathlearning.com Box It Up Purpose
Primary Examples Intermediate Examples = = 10 50% 9+1 6+4 5+5 7+3 3+7 4+5+1 3+6+1 20-10 10-0 of 100% 50 out of 100 17-7 2 4 1 2 1 2 of 200% 1 4 500 1,000 8 16 9 18 50 100 .50 © Copyright NewPath Learning. All Rights Reserved. 93-6152 www.newpathlearning.com Box It Up
© Copyright NewPath Learning. All Rights Reserved. 93-6153 www.newpathlearning.com Shape Up Purpose
Primary Examples Intermediate Examples s s s 4 s s s2 6 sides 4 sides 4 sides 4 sides 4 sides 3 sides 8 sides P = 8 s A = P = P = 4a + 2b A = x b x h A = (a+b) x h a a a a a a b b b b A = x w P = 2( )+2(w) 1 2 A = b x h P = 2a + 2b 2 © Copyright NewPath Learning. All Rights Reserved. 93-6153 www.newpathlearning.com Shape Up
© Copyright NewPath Learning. All Rights Reserved. 93-6154 www.newpathlearning.com Dot to Dot Purpose
Primary Examples Intermediate Examples 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Perimeter = 14 Symmetrical © Copyright NewPath Learning. All Rights Reserved. 93-6154 www.newpathlearning.com Dot to Dot
© Copyright NewPath Learning. All Rights Reserved. 93-6155 www.newpathlearning.com Columns Across Purpose
Primary Examples Intermediate Examples a - b = c 12 0 25 20 6 15 17 12 9 16 19 1 7 13 7 8 3 20 fraction decimal percent 1 2 1 25 1 4 1 1 3 4 1 5 .50 50% 4% 25% 100% 75% 20% .04 .25 1.00 .75 .20 © Copyright NewPath Learning. All Rights Reserved. 93-6155 www.newpathlearning.com Columns Across
© Copyright NewPath Learning. All Rights Reserved. 93-6156 www.newpathlearning.com Circle Around Purpose
Primary Examples Intermediate Examples 4 6 10 14 18 22 26 30 34 38 42 46 50 54 58 62 66 70 74 78 82 7 3 9 12 8 14 17 13 Add 4 What is the Pattern? Finish +3 -4 +6 +3 -4 +6 +3 +3 +3 +3 +3 -4 -4 -4 -4 +6 19 22 18 24 27 23 29 32 28 34 37 +6 +6 +6 © Copyright NewPath Learning. All Rights Reserved. 93-6156 www.newpathlearning.com Circle Around
© Copyright NewPath Learning. All Rights Reserved. 93-6157 www.newpathlearning.com Magic Squares Purpose
Primary Examples Intermediate Examples 10 12 14 15 16 20 1 3 5 2 6 2 2 6 5 5 3 7 0 8 2 5 10 x3 5x6 3x10 10x8 +1 16÷2 x10+1 5x8 +41 5x10 +10 6x6 -11 6x11 -6 4x20 -20 3x5 +10 6x4 +1 4x5 +5 120 ÷2 20x4 +1 2x40 +1 81x1 +0 8 0 10 6 7 3 5 8 5 5 12 3 7 10 0 10 5 2 3 7 1 4 3 5 2 4 8 2 9 3 3 8 30 100 25 60 17 81 1x30 60÷ 2 0x30 +30 9x10 +10 40x2 +20 25x2 +50 6x10 +40 1000 ÷10 10x2 +10 6x6 -6 10x10 50x2 25x4 17x1 17÷1 1x17 9x9 81÷1 10x6 5x5 50 ÷2 100 ÷4 75 ÷3 20x 3 30 x2 60 x1 © Copyright NewPath Learning. All Rights Reserved. 93-6157 www.newpathlearning.com Magic Squares
© Copyright NewPath Learning. All Rights Reserved. 93-6158 www.newpathlearning.com Step It Up Purpose
Primary Examples Intermediate Examples 20-4=16 16-6=10 10-3=7 7-2=5 5 cookies left 17 568 James baked 20 cookies - He ate 4. The next day he ate 6. His sister ate 3. His friend ate 2. How many were left? 17 56 -51 5 3 17 58 -51 7 3 33 R7 © Copyright NewPath Learning. All Rights Reserved. 93-6158 www.newpathlearning.com Step It Up
© Copyright NewPath Learning. All Rights Reserved. 93-6159 www.newpathlearning.com Triangle Tricks Purpose
Primary Examples Intermediate Examples Find the Triangles Lowest Terms 1 4 1 2 1 2 1 3 4 9 1 4 1 3 4 5 1 5 1 2 1 10 1 4 3 10 3 10 1 7 3 12 5 10 3 6 9 27 8 18 5 20 7 21 16 20 20 100 8 16 7 70 4 16 9 30 6 20 7 49 © Copyright NewPath Learning. All Rights Reserved. 93-6159 www.newpathlearning.com Triangle Tricks
© Copyright NewPath Learning. All Rights Reserved. 93-6160 www.newpathlearning.com Star Mathematics Purpose
Primary Examples Intermediate Examples (0+ 15)+ 10 (9 +1 )+ 15 (12+12 )+1 (10+ 7)+ 8 (10+10 )+5 (8 +8 )+ 9 2 3 5 7 11 13 25 Prime Numbers © Copyright NewPath Learning. All Rights Reserved. 93-6160 www.newpathlearning.com Star Mathematics