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Teach Corrective Mathematics
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Module Introduction5 Topics
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Overview14 Topics|2 Tests
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Cover
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Lesson Objective
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Opening the Lesson
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Direct Instruction Overview
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Corrective Mathematics Training
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Core Features of Corrective Mathematics
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Video: Corrective Mathematics in Action
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Program Students and Time Commitments
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Check Your Understanding
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Corrective Mathematics Teacher and Student Materials
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Teach Tracks and Concepts
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Test Your Understanding
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Review
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Lesson Completed
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Cover
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Setting Up for Success and Teaching Strategies25 Topics|4 Tests
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Cover
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Lesson Objective
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Opening the Lesson
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Placement Testing: Two Methods
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Placement Test Guidelines
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Placement Test Directions
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Placement Criteria
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Check Your Understanding
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Video: Placement Test
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Classroom Arrangement
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Video: Classroom Arrangement and Active Monitoring
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Using a Script
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Signals
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Types of Signals
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Pacing
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Check your understanding
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Video: Teaching Strategies for Effective Teaching: Use of Script, Signals and Pacing
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Corrections
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General Correction Procedures
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Specific Correction Procedures
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Video: General and Specific Correction Procedures
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Check Your Understanding
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Test Your Understanding
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Review
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Lesson Completed
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Cover
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Tracks in Addition, Subtraction, Multiplication and Division Modules25 Topics|4 Tests
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Cover
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Lesson Objective
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Opening the Lesson
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Overview of Tracks
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Facts Track
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Fact Track: Number Families in the Addition and Subtraction Modules
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Video: Addition and Multiplication Fact Track Number Families
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Practise Number Families Facts from the Division Module Lesson
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Fact Track Fact Series
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Special Facts
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Correcting Errors Procedures
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Video: Fact Tracks with Error Correction Procedures
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Check Your Understanding
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Operation Track
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Video: Preskills to Operations
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Teaching Tracks and Corrections Tips
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Check your understanding
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Story Problem Track
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Place Value Track
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Correction and Mastery
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Video: Error Correction Procedure
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Check Your Understanding
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Test Your Understanding
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Review
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Lesson Completed!
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Cover
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Skills in Basic Fractions, Fractions, Decimals and Percents, Ratios and Equations21 Topics|3 Tests
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Cover
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Lesson Objective
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Opening the Lesson
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Overview
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Basic Fractions
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Basic Fractions Components
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Teaching Tips for Basic Fractions
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Video: Exercise 2, Lesson 27 of Multiplication Module
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Check Your Understanding
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Errors Correction
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Video: Error Correction in Basic Fractions Problems
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Fractions, Decimals, and Percents
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Ratios and Equations
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Check Your Understanding
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Process Error Correction Procedure for Fractions and Ratios and Equations
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Video: Lesson 5, Exercise 3 from Ratios and Equations Module
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Teaching Tips for Advanced Fractions Skills
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Practice Lesson
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Test Your Understanding
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Review
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Lesson Completed
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Cover
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Teacher Practice Formats and Individual Turns19 Topics|3 Tests
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Cover
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Lesson Objective
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Opening the Lesson
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Teacher Practice Formats
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Facts Formats
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Operations Formats
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Video: Lesson 2, Exercise 4: Fact Number Families Format
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Individual Turns
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Check Your Understanding
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Error Corrections
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Video: Lesson 30, Exercise 5 Teaching Format
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Story Problem Formats
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Naming Problem Format
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Practise Format
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Check Your Understanding
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Teaching to Mastery
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Test Your Understanding
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Review
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Lesson Completed!
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Cover
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Fact Games, Timing formats, and Fact Mastery Test17 Topics|3 Tests
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Cover
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Lesson Objective
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Opening the Lesson
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Fact Practice
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The Fact Game and Its Procedure
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Video: Administering Fact Game
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Fact Game Monitoring and Work Check
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Video: Fact Game Check Procedure
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Check Your Understanding
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Timing Format and Its Procedures
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Video: Administering Timing Format
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Fact Mastery Tests and Their Procedures
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Video: Fact Mastery Test Preparation Procedure
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Check Your Understanding
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Test Your Understanding
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Review
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Lesson Completed!
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Cover
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Worksheets, Independent Work and Work Checks20 Topics|3 Tests
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Cover
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Lesson Objective
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Opening the lesson
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Worksheets
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Diagnosing Worksheet Errors
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Video: Administering Worksheets
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Facts Errors in Worksheets
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Process Errors in Worksheets
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Video: Diagnosis of a Worksheet Error and Its Correction
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Story Problem Errors in Worksheets
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Video: Story Problem’s Process Error Corrections
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Check Your Understanding
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Workchecks
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Individual Workcheck
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Peer Workcheck
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Video: Administering Workchecks
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Check Your Understanding
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Test Your Understanding
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Review
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Lesson Completed!
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Cover
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Mastery Tests and Five Lesson Point Graph21 Topics|3 Tests
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Cover
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Lesson Objective
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Opening the Lesson
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Mastery Tests Overview
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Mastery Tests and Their Procedures
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Video: Administering a Mastery Test
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Remediation Directions
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Error Types and Correction Methods
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Check Your Understanding
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Progressing at an Optimal Rate
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Cumulative Reviews and Review Lessons
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Point System Overview
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The Point Summary Charts
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Video: Awarding Points Procedure
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Five-Lesson Point Graph
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Recording Daily Points
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Video: Recording Daily Points
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Check Your Understanding
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Test Your Understanding
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Review
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Lesson Completed
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Cover
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Setting Expectations and Motivating Students27 Topics|4 Tests
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Cover
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Lesson Objective
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Opening the Lesson
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Setting Expectations and Motivating Students: Overview
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Placement Seating and STAR Rule
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Video: Setting Expectations and Motivating Students
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Addressing Students’ Concerns
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Establishing Rules for Corrective Mathematics
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Check Your Understanding
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Teaching to Criterion
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Teacher Self-Evaluation
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Video: Teacher Self-Evaluation
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Lesson Preparation and Motivation
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Transition and Monitoring
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Video: Transition and Monitoring
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Check Your Understanding
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General Motivation
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Using Affirmations to Motivate Students
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Specific Positive Praise
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Video: Teaching Using Affirmations and Specific Positive Praise
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Teacher–Student Game
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Rewards and Celebrations
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Video: Teacher-Student Game and Reward and Celebrations
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Check Your Understanding
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Test Your Understanding
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Review
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Lesson Completed
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Cover
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Teaching a Lesson from Corrective Mathematics24 Topics|3 Tests
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Cover
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Lesson Objective
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Opening the Lesson
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Lesson 42, Exercise 1: Facts: Introducing Five Facts in Series
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Lesson 42, Exercise 2: Place Value: Practise Putting Commas
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Signals
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Lesson 42, Exercise 3: Operations: Which Box is Carry to
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Video: Demonstration of Exercises 1–3 of Lesson 42
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Lesson 42, Exercise 4: Facts: Practising Carrying and Non-carrying Additional Pre-skills
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Lesson 42, Exercise 5: Timing Format
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Video: Timing Format
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Check Your Understanding
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Lesson 42, Exercise 6: Facts: Practising Commutative Property
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Lesson 42, Exercise 7: Introducing Subtraction Problems
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Video: Introducing Subtraction Problems with Error Correction
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Lesson 42: Exercise 8: Preparation for Mastery Test
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Lesson 42: Exercise 9 Independent Work
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Check Your Understanding
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Lesson 42, Exercise 10: Workcheck
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Lesson 42, Exercise 11: Fact Game
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Video: Fact Game and Points Calculation and Point Summary Chart Fill
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Test Your Understanding
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Review
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Lesson Completed
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Cover
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Module evaluation survey1 Topic
Participants 13
Lesson Progress
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Placement Test Directions
Structure and Time Requirements for the Test:
- The placement test is divided into two sections.
- Section I includes: Part A, Addition; Part B, Subtraction; Part C, Multiplication; and Part D, Division.
- Section II includes: Part E, Basic Fractions; Part F, Fractions, Decimals and Percents; and Part G, Ratios and Equations.
- Section I is administered in two sessions, either individually or in a group.
- Students work on Parts A and B of the test during the first session, taking about 20 minutes for each part.
- Students with no more than one error in Parts A or B proceed to the second session with Parts C and D.
- Students with no more than one error on either Part C or D are given students Section II of the Test, allowing 40 minutes to complete it.

Administration and Scoring of Section I:
- There are a total of six steps for both test sessions in Section I.
- Steps 1 and 2 remain the same for both sessions.
Steps 1 and 2:
- Use a quiet place in the room where other students cannot hear and hand out copies of the Comprehensive Placement Test.
- Instruct the students to wait for the signal before beginning, and guide them to complete the information at the top of the test.
- Follow the script provided on page 26 of the Series Guide.
Step 3:
- Grade Parts A and B. There are 11 scorable items in Part A and 13 scorable items in Part B.
- For all column problems in Parts A and B, each column is scored separately. Use the answer key provided on page 25 of the Series Guide
- Count and record the errors for Parts A and B in the ‘Errors’ box on the top of the students’ test packs.
Step 4:
- Students with more than one error on Parts A or B are placed either in the Addition or Subtraction module. Parts C and D are not administered.
- Arrange another testing session to present Parts C and D to students who passed both Parts A and B of the test.
Steps 5 and 6:
- Grade Parts C and D. In these parts, the entire answer is counted as one for each problem. Refer to the answer key provided on page 27 of the Series Guide.
- Count and record the errors in the ‘Error’ box on the test pack.
- Students who make more than one error on either Part C or D are placed in the Multiplication or Division module – there is no need for Parts E to G.
Administration and Scoring of Section II:
- To administer Parts E, F, and G of the Comprehensive Placement Test, follow the same procedure for steps 1 to 3 outlined in Section I.
- When grading Part G of Section II, consider the answer as correct even if the student did not include the specific word.
- Refer to page 29 of the Series Guide to follow the Comprehensive Test script, Section II.