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<br /> Look for these icons throughout the<br /> following pages for interactive content.<br /> hmhco.com<br /> “Many students disconnect<br /> mathematics from common<br /> sense. Transition to Algebra<br /> uses explorations, problems,<br /> and puzzles to build the logic of<br /> algebra to help students make<br /> sense of what they are learning.”<br /> —June Mark, E. Paul Goldenberg, Mary<br /> Fries, Jane M. Kang, and Tracy Cordner,<br /> authors of the research-based<br /> Transition to Algebra series<br /> HELP YOUR STUDENTS<br /> SCALE<br /> THEALGEBRA<br /> WALL<br /> Transition to Algebra’s<br /> 12 units include teaching<br /> guides, in-depth lessons,<br /> and assessments<br /> to support algebra<br /> students.<br /> Research-based<br /> National Science<br /> Foundation-funded<br /> Learning<br /> transforms<br /> lives.<br /> Overview Brochure<br /> A New Research-<a title="139621_Transition_to_Algebra_Overview page 1" href="http://viewer.zmags.com/publication/486519a6?page=1"> Look for these icons throughout the followin</a> <a title="139621_Transition_to_Algebra_Overview page 2" href="http://viewer.zmags.com/publication/486519a6?page=2"> hmhco.com “Many students disconnect mathematic</a> <a title="139621_Transition_to_Algebra_Overview page 3" href="http://viewer.zmags.com/publication/486519a6?page=3"> </a> <a title="139621_Transition_to_Algebra_Overview page 4" href="http://viewer.zmags.com/publication/486519a6?page=4"> hmhco.com “Many students disconnect mathematic</a> <a title="139621_Transition_to_Algebra_Overview page 5" href="http://viewer.zmags.com/publication/486519a6?page=5"> A New Research-Based Approach for Teaching Algebr</a> <a title="139621_Transition_to_Algebra_Overview page 6" href="http://viewer.zmags.com/publication/486519a6?page=6"> Transition to Algebra is designed to build studen</a> <a title="139621_Transition_to_Algebra_Overview page 7" href="http://viewer.zmags.com/publication/486519a6?page=7"> Fostering Algebraic Habits of Mind </a> <a title="139621_Transition_to_Algebra_Overview page 8" href="http://viewer.zmags.com/publication/486519a6?page=8"> “One important purpose for learning mathematics i</a> <a title="139621_Transition_to_Algebra_Overview page 9" href="http://viewer.zmags.com/publication/486519a6?page=9"> Unit Overviews and Contents Th</a> <a title="139621_Transition_to_Algebra_Overview page 10" href="http://viewer.zmags.com/publication/486519a6?page=10"> “A curriculum organized around habits of mind clo</a> <a title="139621_Transition_to_Algebra_Overview page 11" href="http://viewer.zmags.com/publication/486519a6?page=11"> Unit Overviews and Contents 6 Unit 9 Poin</a> <a title="139621_Transition_to_Algebra_Overview page 12" href="http://viewer.zmags.com/publication/486519a6?page=12"> Correlation Between Algebra Topics and TTA’s Curr</a> <a title="139621_Transition_to_Algebra_Overview page 13" href="http://viewer.zmags.com/publication/486519a6?page=13"> Unit Introduction This reduced facsimile cover v</a> <a title="139621_Transition_to_Algebra_Overview page 14" href="http://viewer.zmags.com/publication/486519a6?page=14"> the pictures accompanying multiplication or divis</a> <a title="139621_Transition_to_Algebra_Overview page 15" href="http://viewer.zmags.com/publication/486519a6?page=15"> Professional Support: Inside the Teaching Guides </a> <a title="139621_Transition_to_Algebra_Overview page 16" href="http://viewer.zmags.com/publication/486519a6?page=16"> Every Transition to Algebra lesson begins with a </a> <a title="139621_Transition_to_Algebra_Overview page 17" href="http://viewer.zmags.com/publication/486519a6?page=17"> Lesson at a glance offers a brief overview of the</a> <a title="139621_Transition_to_Algebra_Overview page 18" href="http://viewer.zmags.com/publication/486519a6?page=18"> Student Problem Solving and Discussion Some mobil</a> <a title="139621_Transition_to_Algebra_Overview page 19" href="http://viewer.zmags.com/publication/486519a6?page=19"> Exploration at a glance offers a brief overview o</a> <a title="139621_Transition_to_Algebra_Overview page 20" href="http://viewer.zmags.com/publication/486519a6?page=20"> Two Possible Organization Methods The answer is n</a> <a title="139621_Transition_to_Algebra_Overview page 21" href="http://viewer.zmags.com/publication/486519a6?page=21"> Professional Support: Inside the Teaching Guides </a> <a title="139621_Transition_to_Algebra_Overview page 22" href="http://viewer.zmags.com/publication/486519a6?page=22"> Activity: Making Mobiles PURPOSE The logic of so</a> <a title="139621_Transition_to_Algebra_Overview page 23" href="http://viewer.zmags.com/publication/486519a6?page=23"> Professional Support: Inside the Teaching Guides </a> <a title="139621_Transition_to_Algebra_Overview page 24" href="http://viewer.zmags.com/publication/486519a6?page=24"> Snapshot Check-in Name:</a> <a title="139621_Transition_to_Algebra_Overview page 25" href="http://viewer.zmags.com/publication/486519a6?page=25"> Professional Support: Inside the Teaching Guides </a> <a title="139621_Transition_to_Algebra_Overview page 26" href="http://viewer.zmags.com/publication/486519a6?page=26"> Unit Assessment (continued) Unit 1A0s 1 Parts</a> <a title="139621_Transition_to_Algebra_Overview page 27" href="http://viewer.zmags.com/publication/486519a6?page=27"> Series Overview The Series</a> <a title="139621_Transition_to_Algebra_Overview page 28" href="http://viewer.zmags.com/publication/486519a6?page=28"> Digital Resources for Teaching and Learning A we</a> <a title="139621_Transition_to_Algebra_Overview page 29" href="http://viewer.zmags.com/publication/486519a6?page=29"> In an opening letter to the students, the authors</a> <a title="139621_Transition_to_Algebra_Overview page 30" href="http://viewer.zmags.com/publication/486519a6?page=30"> Lesson 3: Balancing Mobile Puzzles IMPORTANT STUF</a> <a title="139621_Transition_to_Algebra_Overview page 31" href="http://viewer.zmags.com/publication/486519a6?page=31"> Inside the Student Worktexts 26 These alg</a> <a title="139621_Transition_to_Algebra_Overview page 32" href="http://viewer.zmags.com/publication/486519a6?page=32"> STUFF TO MAKE YOU THINK 12 If = , do</a> <a title="139621_Transition_to_Algebra_Overview page 33" href="http://viewer.zmags.com/publication/486519a6?page=33"> Inside the Student Worktexts 28 Additi</a> <a title="139621_Transition_to_Algebra_Overview page 34" href="http://viewer.zmags.com/publication/486519a6?page=34"> Explorations encourage the natural playfulness of</a> <a title="139621_Transition_to_Algebra_Overview page 35" href="http://viewer.zmags.com/publication/486519a6?page=35"> Developed by Education Development Center (EDC), </a> <a title="139621_Transition_to_Algebra_Overview page 36" href="http://viewer.zmags.com/publication/486519a6?page=36"> Continue to Sample Lessons ></a> <a title="139621_Transition_to_Algebra_Overview page 37" href="http://viewer.zmags.com/publication/486519a6?page=37"> </a> <a title="139621_Transition_to_Algebra_Overview page 38" href="http://viewer.zmags.com/publication/486519a6?page=38"> Unit 1 Sampler “Transition to Algebra’s ease of </a> <a title="139621_Transition_to_Algebra_Overview page 39" href="http://viewer.zmags.com/publication/486519a6?page=39"> 1 1 e Mark aul Goldenberg ry Fries e M. Kang</a> <a title="139621_Transition_to_Algebra_Overview page 40" href="http://viewer.zmags.com/publication/486519a6?page=40"> Unit 1 Language of Algebra CONTENTS   T4 Langu</a> <a title="139621_Transition_to_Algebra_Overview page 41" href="http://viewer.zmags.com/publication/486519a6?page=41"> Unit 1 Language of Algebra Research-ba</a> <a title="139621_Transition_to_Algebra_Overview page 42" href="http://viewer.zmags.com/publication/486519a6?page=42"> the pictures accompanying multiplication or divis</a> <a title="139621_Transition_to_Algebra_Overview page 43" href="http://viewer.zmags.com/publication/486519a6?page=43"> Making up puzzles and problems is an essential pa</a> <a title="139621_Transition_to_Algebra_Overview page 44" href="http://viewer.zmags.com/publication/486519a6?page=44"> Lesson 1: Exploring Number Tricks PURPOSE Lesson</a> <a title="139621_Transition_to_Algebra_Overview page 45" href="http://viewer.zmags.com/publication/486519a6?page=45"> The ones (or “marbles”) track the numbers you are</a> <a title="139621_Transition_to_Algebra_Overview page 46" href="http://viewer.zmags.com/publication/486519a6?page=46"> Make You Think, Tough Stuff, and Additional Pract</a> <a title="139621_Transition_to_Algebra_Overview page 47" href="http://viewer.zmags.com/publication/486519a6?page=47"> Lesson at a Glance Preparation: (optional) Prepar</a> <a title="139621_Transition_to_Algebra_Overview page 48" href="http://viewer.zmags.com/publication/486519a6?page=48"> the trick right here?” Have one student read thro</a> <a title="139621_Transition_to_Algebra_Overview page 49" href="http://viewer.zmags.com/publication/486519a6?page=49"> Lesson at a Glance Preparation: Photocopy the Sna</a> <a title="139621_Transition_to_Algebra_Overview page 50" href="http://viewer.zmags.com/publication/486519a6?page=50"> Student Problem Solving and Discussion Some mobil</a> <a title="139621_Transition_to_Algebra_Overview page 51" href="http://viewer.zmags.com/publication/486519a6?page=51"> CHECK IN Student Sometime during Le</a> <a title="139621_Transition_to_Algebra_Overview page 52" href="http://viewer.zmags.com/publication/486519a6?page=52"> Exploration at a Glance Preparation · Each gro</a> <a title="139621_Transition_to_Algebra_Overview page 53" href="http://viewer.zmags.com/publication/486519a6?page=53"> Two Possible Organization Methods The answer is n</a> <a title="139621_Transition_to_Algebra_Overview page 54" href="http://viewer.zmags.com/publication/486519a6?page=54"> Further Exploration Students consider what happen</a> <a title="139621_Transition_to_Algebra_Overview page 55" href="http://viewer.zmags.com/publication/486519a6?page=55"> Activity: Making Mobiles PURPOSE The logic of so</a> <a title="139621_Transition_to_Algebra_Overview page 56" href="http://viewer.zmags.com/publication/486519a6?page=56"> Blank Think of a Number Trick Table (Lessons 1 </a> <a title="139621_Transition_to_Algebra_Overview page 57" href="http://viewer.zmags.com/publication/486519a6?page=57"> Snapshot Check-in </a> <a title="139621_Transition_to_Algebra_Overview page 58" href="http://viewer.zmags.com/publication/486519a6?page=58"> Snapshot Check-in ANSWER KEY 1 Fill in the empt</a> <a title="139621_Transition_to_Algebra_Overview page 59" href="http://viewer.zmags.com/publication/486519a6?page=59"> Unit 1 Mental Mathematics Distributive property</a> <a title="139621_Transition_to_Algebra_Overview page 60" href="http://viewer.zmags.com/publication/486519a6?page=60"> Mental Mathematics • Activity 1 Doubling 1- and 2</a> <a title="139621_Transition_to_Algebra_Overview page 61" href="http://viewer.zmags.com/publication/486519a6?page=61"> 68 34 · After introducing the task, minimize</a> <a title="139621_Transition_to_Algebra_Overview page 62" href="http://viewer.zmags.com/publication/486519a6?page=62"> Mental Mathematics • Activity 3 Halving 2- and 3-</a> <a title="139621_Transition_to_Algebra_Overview page 63" href="http://viewer.zmags.com/publication/486519a6?page=63"> 70 140 · If students struggle with the 700s</a> <a title="139621_Transition_to_Algebra_Overview page 64" href="http://viewer.zmags.com/publication/486519a6?page=64"> Mental Mathematics • Activity 5 Halving 2-digit n</a> <a title="139621_Transition_to_Algebra_Overview page 65" href="http://viewer.zmags.com/publication/486519a6?page=65"> Unit 1 Language of Algebra Research-ba</a> <a title="139621_Transition_to_Algebra_Overview page 66" href="http://viewer.zmags.com/publication/486519a6?page=66"> Dear Student, Algebra is two things: a convenie</a> <a title="139621_Transition_to_Algebra_Overview page 67" href="http://viewer.zmags.com/publication/486519a6?page=67"> Lesson 1: Exploring Number Tricks IMPORTANT STUFF</a> <a title="139621_Transition_to_Algebra_Overview page 68" href="http://viewer.zmags.com/publication/486519a6?page=68"> 5 Fill in the empty cells in this table. In</a> <a title="139621_Transition_to_Algebra_Overview page 69" href="http://viewer.zmags.com/publication/486519a6?page=69"> STUFF TO MAKE YOU THINK 13 Instructions </a> <a title="139621_Transition_to_Algebra_Overview page 70" href="http://viewer.zmags.com/publication/486519a6?page=70"> Additional Practice A Instructions </a> <a title="139621_Transition_to_Algebra_Overview page 71" href="http://viewer.zmags.com/publication/486519a6?page=71"> Lesson 2: Exploring Number Trick Logic IMPORTANT </a> <a title="139621_Transition_to_Algebra_Overview page 72" href="http://viewer.zmags.com/publication/486519a6?page=72"> In each of these problems, a dot ( ) equals 1. </a> <a title="139621_Transition_to_Algebra_Overview page 73" href="http://viewer.zmags.com/publication/486519a6?page=73"> STUFF TO MAKE YOU THINK 20 If = , t</a> <a title="139621_Transition_to_Algebra_Overview page 74" href="http://viewer.zmags.com/publication/486519a6?page=74"> Additional Practice A Create your own trick tha</a> <a title="139621_Transition_to_Algebra_Overview page 75" href="http://viewer.zmags.com/publication/486519a6?page=75"> Lesson 3: Balancing Mobile Puzzles IMPORTANT STUF</a> <a title="139621_Transition_to_Algebra_Overview page 76" href="http://viewer.zmags.com/publication/486519a6?page=76"> Algebraic Habits of Mind: Seeking and Using Struc</a> <a title="139621_Transition_to_Algebra_Overview page 77" href="http://viewer.zmags.com/publication/486519a6?page=77"> STUFF TO MAKE YOU THINK 12 If = , do</a> <a title="139621_Transition_to_Algebra_Overview page 78" href="http://viewer.zmags.com/publication/486519a6?page=78"> Additional Practice A </a> <a title="139621_Transition_to_Algebra_Overview page 79" href="http://viewer.zmags.com/publication/486519a6?page=79"> Unit 1 Language of Algebra Answer Key </a> <a title="139621_Transition_to_Algebra_Overview page 80" href="http://viewer.zmags.com/publication/486519a6?page=80"> Dear Student, Algebra is two things: a convenie</a> <a title="139621_Transition_to_Algebra_Overview page 81" href="http://viewer.zmags.com/publication/486519a6?page=81"> Lesson 1: Exploring Number Tricks IMPORTANT STUFF</a> <a title="139621_Transition_to_Algebra_Overview page 82" href="http://viewer.zmags.com/publication/486519a6?page=82"> 5 Fill in the empty cells in this table. In</a> <a title="139621_Transition_to_Algebra_Overview page 83" href="http://viewer.zmags.com/publication/486519a6?page=83"> STUFF TO MAKE YOU THINK 13 Instructions </a> <a title="139621_Transition_to_Algebra_Overview page 84" href="http://viewer.zmags.com/publication/486519a6?page=84"> Additional Practice A Instructions </a> <a title="139621_Transition_to_Algebra_Overview page 85" href="http://viewer.zmags.com/publication/486519a6?page=85"> Lesson 2: Exploring Number Trick Logic IMPORTANT </a> <a title="139621_Transition_to_Algebra_Overview page 86" href="http://viewer.zmags.com/publication/486519a6?page=86"> In each of these problems, a dot ( ) equals 1. </a> <a title="139621_Transition_to_Algebra_Overview page 87" href="http://viewer.zmags.com/publication/486519a6?page=87"> STUFF TO MAKE YOU THINK 20 If = , t</a> <a title="139621_Transition_to_Algebra_Overview page 88" href="http://viewer.zmags.com/publication/486519a6?page=88"> Additional Practice A Create your own trick tha</a> <a title="139621_Transition_to_Algebra_Overview page 89" href="http://viewer.zmags.com/publication/486519a6?page=89"> Lesson 3: Balancing Mobile Puzzles IMPORTANT STUF</a> <a title="139621_Transition_to_Algebra_Overview page 90" href="http://viewer.zmags.com/publication/486519a6?page=90"> Algebraic Habits of Mind: Seeking and Using Struc</a> <a title="139621_Transition_to_Algebra_Overview page 91" href="http://viewer.zmags.com/publication/486519a6?page=91"> STUFF TO MAKE YOU THINK 12 If = , do</a> <a title="139621_Transition_to_Algebra_Overview page 92" href="http://viewer.zmags.com/publication/486519a6?page=92"> Additional Practice A </a> <a title="139621_Transition_to_Algebra_Overview page 93" href="http://viewer.zmags.com/publication/486519a6?page=93"> Exploration: Color Towers You have six blocks. T</a> <a title="139621_Transition_to_Algebra_Overview page 94" href="http://viewer.zmags.com/publication/486519a6?page=94"> Organizing your solutions can help you see if you</a> <a title="139621_Transition_to_Algebra_Overview page 95" href="http://viewer.zmags.com/publication/486519a6?page=95"> Activity: Making Mobiles 1 Make a small mobile </a>