Blue Instruction Manual


Instruction Manual for the Perceptions Blue Program

33 Lessons

Covers the concepts of Multiplication, Division, and Fractions through the end of 5th Grade.


What People Are Saying About Perceptions

"The scores from the intervention group increased significantly higher than the control group’s score." - Kaitlyn Brame, Webster University

More About Perceptions Blue


Perceptions: Changing the Way You Look at Math

Perceptions Blue is a 16-week Intensive Math Intervention focused on the Operations of Multiplication, Division, and Fractions which includes Multiple-Digit Multiplication with Regrouping, Long Division with Remainders, and Addition, Subtraction, Multiplication, Division of Fractions, Mixed Numbers, and Improper Fractions, plus much more!  

This Instruction Manual is part of the Perceptions Blue Program and is designed to be used in combination with the Lesson-by-Lesson Video Instruction,  Perceptions Blue Student Book, MasterPieces, and MasterFractions.

Using the Construct, Express, & Apply methodology, students and instructors learn how to construct and express concepts and operations, and then apply to reason into real-world scenarios creating a powerful learning environment.

Scope & Sequence

Unit 1 - Understanding Multiplication and Division
Lesson 1: Multiplication: Repeated Addition Making Rectangles and Squares
Lesson 2: Factors and Products
Lesson 3: Beginning Factoring
Lesson 4: Factoring and Prime & Composite Numbers
Lesson 5: Beginning Division
Lesson 6: Solving for Unknowns

Unit 2 - Multi-Digit Multiplication and Division
Lesson 7: Distributive Property and Place-Value Notation (Expanded Form)
Lesson 8: Two-Digit Multiplication
Lesson 9: Two-Digit Multiplication with Regrouping
Lesson 10: Long Division
Lesson 11: Division with Remainders
Lesson 12: Multi-Digit Multiplication
Lesson 13: Multi-Digit Division

Unit 3 - Introduction to Fractions
Lesson 14: Interrelationships: Combine & Compare
Lesson 15: Rational Numbers: Ratios & Fractions
Lesson 16: Parts of a Fraction and Fraction of a Number
Lesson 17: Types of Fractions and Comparing/Combining Fractions
Lesson 18: Add & Subtract Fractions with Same Denominators & Decomposing Fractions
Lesson 19: Equivalent Fractions
Lesson 20: Finding Equivalencies, Simplifying, and GCF

Unit 4 – Operations with Fractions Part 1
Lesson 21: Adding and Subtracting Fractions
Lesson 22: Cross-Multiplication (Concrete)
Lesson 23: Cross-Multiplication (Abstract)
Lesson 24: Changing Improper Fractions & Mixed Numbers
Lesson 25: Addition with Improper Fractions & Mixed Numbers
Lesson 26: Subtraction with Improper Fractions & Mixed Numbers
Lesson 27: Adding Multiple Fractions

Unit 5 – Operations with Fractions Part 2
Lesson 28: Multiplication with Fractions
Lesson 29: Division with Fractions
Lesson 30: Division with Fractions Using the Reciprocal
Lesson 31: Canceling (Pre-simplifying) when Multiplying Fractions
Lesson 32: Solving for Unknowns in Fractions
Lesson 33: Solving for Unknowns (Optional)

Additional information

Weight 1.25 lbs
Dimensions 9 x 11 x 1 in


There are no reviews yet.

Be the first to review “Perceptions Blue Instruction Manual”