If you are visually impaired or blind, you can visit the PDF version by Pressing CONTROL + ALT + 4
You need a JavaScript-enabled browser to view this Publication
Please follow these steps to view the Publication:
Enable JavaScript in your browser
Refresh this page
Best regards
Zmags
Look for these icons throughout the
following pages for interactive content.
hmhco.com
“Many students disconnect
mathematics from common
sense. Transition to Algebra
uses explorations, problems,
and puzzles to build the logic of
algebra to help students make
sense of what they are learning.”
—June Mark, E. Paul Goldenberg, Mary
Fries, Jane M. Kang, and Tracy Cordner,
authors of the research-based
Transition to Algebra series
HELP YOUR STUDENTS
SCALE
THEALGEBRA
WALL
Transition to Algebra’s
12 units include teaching
guides, in-depth lessons,
and assessments
to support algebra
students.
Research-based
National Science
Foundation-funded
Learning
transforms
lives.
Overview Brochure
A New Research-
Look for these icons throughout the followin
hmhco.com “Many students disconnect mathematic
hmhco.com “Many students disconnect mathematic
A New Research-Based Approach for Teaching Algebr
Transition to Algebra is designed to build studen
Fostering Algebraic Habits of Mind
“One important purpose for learning mathematics i
Unit Overviews and Contents Th
“A curriculum organized around habits of mind clo
Unit Overviews and Contents 6 Unit 9 Poin
Correlation Between Algebra Topics and TTA’s Curr
Unit Introduction This reduced facsimile cover v
the pictures accompanying multiplication or divis
Professional Support: Inside the Teaching Guides
Every Transition to Algebra lesson begins with a
Lesson at a glance offers a brief overview of the
Student Problem Solving and Discussion Some mobil
Exploration at a glance offers a brief overview o
Two Possible Organization Methods The answer is n
Professional Support: Inside the Teaching Guides
Activity: Making Mobiles PURPOSE The logic of so
Professional Support: Inside the Teaching Guides
Snapshot Check-in Name:
Professional Support: Inside the Teaching Guides
Unit Assessment (continued) Unit 1A0s 1 Parts
Series Overview The Series
Digital Resources for Teaching and Learning A we
In an opening letter to the students, the authors
Lesson 3: Balancing Mobile Puzzles IMPORTANT STUF
Inside the Student Worktexts 26 These alg
STUFF TO MAKE YOU THINK 12 If = , do
Inside the Student Worktexts 28 Additi
Explorations encourage the natural playfulness of
Developed by Education Development Center (EDC),
Continue to Sample Lessons >
Unit 1 Sampler “Transition to Algebra’s ease of
1 1 e Mark aul Goldenberg ry Fries e M. Kang
Unit 1 Language of Algebra CONTENTS T4 Langu
Unit 1 Language of Algebra Research-ba
the pictures accompanying multiplication or divis
Making up puzzles and problems is an essential pa
Lesson 1: Exploring Number Tricks PURPOSE Lesson
The ones (or “marbles”) track the numbers you are
Make You Think, Tough Stuff, and Additional Pract
Lesson at a Glance Preparation: (optional) Prepar
the trick right here?” Have one student read thro
Lesson at a Glance Preparation: Photocopy the Sna
Student Problem Solving and Discussion Some mobil
CHECK IN Student Sometime during Le
Exploration at a Glance Preparation · Each gro
Two Possible Organization Methods The answer is n
Further Exploration Students consider what happen
Activity: Making Mobiles PURPOSE The logic of so
Blank Think of a Number Trick Table (Lessons 1
Snapshot Check-in
Snapshot Check-in ANSWER KEY 1 Fill in the empt
Unit 1 Mental Mathematics Distributive property
Mental Mathematics • Activity 1 Doubling 1- and 2
68 34 · After introducing the task, minimize
Mental Mathematics • Activity 3 Halving 2- and 3-
70 140 · If students struggle with the 700s
Mental Mathematics • Activity 5 Halving 2-digit n
Unit 1 Language of Algebra Research-ba
Dear Student, Algebra is two things: a convenie
Lesson 1: Exploring Number Tricks IMPORTANT STUFF
5 Fill in the empty cells in this table. In
STUFF TO MAKE YOU THINK 13 Instructions
Additional Practice A Instructions
Lesson 2: Exploring Number Trick Logic IMPORTANT
In each of these problems, a dot ( ) equals 1.
STUFF TO MAKE YOU THINK 20 If = , t
Additional Practice A Create your own trick tha
Lesson 3: Balancing Mobile Puzzles IMPORTANT STUF
Algebraic Habits of Mind: Seeking and Using Struc
STUFF TO MAKE YOU THINK 12 If = , do
Additional Practice A
Unit 1 Language of Algebra Answer Key
Dear Student, Algebra is two things: a convenie
Lesson 1: Exploring Number Tricks IMPORTANT STUFF
5 Fill in the empty cells in this table. In
STUFF TO MAKE YOU THINK 13 Instructions
Additional Practice A Instructions
Lesson 2: Exploring Number Trick Logic IMPORTANT
In each of these problems, a dot ( ) equals 1.
STUFF TO MAKE YOU THINK 20 If = , t
Additional Practice A Create your own trick tha
Lesson 3: Balancing Mobile Puzzles IMPORTANT STUF
Algebraic Habits of Mind: Seeking and Using Struc
STUFF TO MAKE YOU THINK 12 If = , do
Additional Practice A
Exploration: Color Towers You have six blocks. T
Organizing your solutions can help you see if you
Activity: Making Mobiles 1 Make a small mobile