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Exploring Math
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What is Exploring Math?
A comprehensive intervention and reinforcement resource
An easy to implement resource for summer school, after school or to support a year-long mathematics curriculum
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Why Use Exploring Math?
• In 2005, only 36% of fourth-graders performed at or above Proficient in mathematics on the NAEP.
• Teachers need a solid math intervention resource to provide students with the foundational math skills they will need for testing and for life.
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How Does Exploring Math Work?
• Diagnosis students’ areas of need with placement tests
• Provides targeted instruction with differentiated activities in each lesson
• Focuses equally on basic math skills and higher level problem solving strategies
• Includes innovative approaches to teaching math concepts, meeting the needs of all students
• Extends math skill application with fun and appealing Skill Application Game Boards
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Why Does Exploring Math Work?• Uses non-grade-specific labels to more easily select an
appropriate level to meet student needs
• Provides concise, ready-to-use lessons with minimal prep time
• Engages all learners as they apply problem solving strategies to high-interest real-life scenarios
• Includes built in assessments that directly relate to instruction
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How is Exploring Math Researched- and Standards-Based?
• Based on research about effective math instruction as well as the National Council of Teachers of Mathematics (NCTM) standards
• Based on McREL Content Standards
• Correlated to standards in 50 states
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Where to use Exploring Math?
• Summer School
• Before School/After School programs
• In class for core curriculum reinforcement and review
• Small-group instruction during class
• Math focused standardized test preparation
• Tutoring programs
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Main Components of the Kit
14 Skill Application Game Boards
CD-ROM
Teacher Resource Guide
7 Problem-Solving Strategy Cards with
transparencies
14 Real-Life Problem-Solving Cardswith transparencies
7 Stand-Alone Units
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Teacher Resource Guide
• Introduction
• Management
• Placement Test
• Problem-Solving Strategies
• Skill Application Games
• Glossary
• CD
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•Should be administered prior to formal instruction
•Consists of 15 items for each unit in the kit
•Provides an overview of the student’s overall performance
•Helps prioritize the unit(s) and the skill(s) that need reinforcement
Unit Placement Tests
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Placement Test Answer Key
Next to each answer on the key, you will find the corresponding lesson which teaches that objective.
For example, item 1 on the Unit 7 Placement test corresponds to lesson 7.1 (which is unit 7, lesson 1).
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Unit 1 Numbers & Numeration
Unit 2 Addition and Subtraction
Unit 3 Multiplication and Division
Unit 4 Fractions & DecimalsUnit 4 Fractions & Decimals
Unit 5 Geometry
Unit 6 MeasurementUnit 6 Measurement
Unit 7 Working with Data
7 Stand-Alone Units
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Table of Contents
Introduction
Unit LessonsLesson Units Real-Life Problem-Solving Lessons
(each unit has 2)
Answer Key
Reproducible Pages
Unit Teacher’s Guide
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• Learning Objectives
• Resources
• Warm Up Activity
• Whole-Class Skills Lesson
• Differentiated-Group Skills Practice
• Lesson Review
• Extension
• Power point slide story board
• Student Activity pages
• Pre- and Post-test
Lesson Plans
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•Learning Objectives
•Resources
•Warm Up Activity
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Pre- and Post-test Included in each lesson
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Whole-Class Skills Lesson*
reminds teacher that there is a PowerPoint lesson presentation on the CD.
Approximate time lesson will take
Step-by-step Lesson Plan procedure
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Optional PowerPoint® lesson plans
All unit lessons have a slide show provided on the CD.
The slide presentation teaches the Warm-Up activity and the main lesson components.
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Differentiated-Group Skills Practice
Below Level Teacher Directed
On Level Student (or Teacher) Directed
Above Level Student Directed
Activity sheets assigned to students vary by group level.
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Differentiated tasks
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Additional Student Activity Pages
100+ pages of additional activity pages are available on the CD.
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Problem-Solving Strategies Resource Section
• Drawing a Diagram• Drawing a Table• Acting It Out/Using Concrete Materials• Guessing and Checking• Creating and Organized List• Looking for a Pattern• Working Backwards• Using Simpler Numbers• Creating a Tree Diagram• Open-Ended problem Solving• Analyzing and Investigating• Using Logical Reasoning
DetailedInformation about
each of the Problem-Solving
Strategies used in Exploring Math!
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Problem-Solving Strategies Lessons
• Each unit includes two comprehensive Problem-Solving lessons.
• Students are given real-life problem-solving situations and asked to find a solution using a specific strategy.
• A 4-page Lesson Plan for each Problem Solving Lesson includes Both a Problem-Solving Strategy card and a Real-Life Problem-Solving card.
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•Side A models how to teach the Problem-Solving strategy. The text is set up as a “think-aloud”-type teacher-directed lesson.
•Full-screen color transparencies are provided for the front and back of each card.
•This strategy will be applied in the Real-Life Problem-Solving Card section of the Lesson Plan.
Problem-SolvingStrategy Cards
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Problem-Solving Strategy Cards
Side B provides a Sample Problem to complete with the class as a “think-aloud”.
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Real-LifeProblem-Solving
Cards•High-interest cards with real-life scenarios for applying problem-solving strategies.
•2 problem-solving cards for each unit
•Full-color transparencies of each card
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Problem A: on levelProblem B: below levelProblem C: above level
Real-Life Problem Solving Cardsside B
Teachers may:•Assign according to level•Choose one problem to assign to all•or choose one problem to use as a whole-group lesson.
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Skill Application Games Apply and reinforce the skills and concepts learned in a fun way
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Problem Solver’s Math Journals
• Extend and apply problem-solving skills and strategies.
• Provide extra problem-solving practice using the 12 key problem-solving strategies.
• Student materials can be ordered in sets of 10
• Levels A – E are available.