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 INTERMEDIATE ALGEBRA
 Course Syllabus for Algebra I
 MidPlains Community College
 FRACTION OF A WHOLE NUMBER
 Systems of Linear Equations
 MATH FIELD DAY
 Course Outline for Finite Mathematics
 Calculus
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 Math 310 Exam #2
 Review of Trigonometric Functions
 Math 118 Practice test
 Precalculus Review
 Section 12
 Literal Equations
 Calculus Term Definitions
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 Public Key Algorithms II
 Maximizing Triangle Area
 Precalculus I Review for Midterm
 REVIEW OF A FIRST COURSE IN LINEAR ALGEBRA
 Math 6310 Homework 5
 Some Proofs of the Existence of Irrational Numbers
 ALGEBRAIC PROPERTIES OF MATRIX OPERATIONS
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 Math 112 syllabus
 Math 371 Problem Set
 Complex Numbers,Complex Functions and Contour Integrals
 APPLICATIONS OF LINEAR EQUATIONS
 Week 4 Math
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 Investigating Liner Equations Using Graphing Calculator
 MATH 23 FINAL EXAM REVIEW
 Algebra 1
 PYTHAGOREAN THEOREM AND DISTANCE FORMULA
 Georgia Performance Standards Framework for Mathematics  Grade 6
 Intermediate Algebra
 Introduction to Fractions
 FACTORINGS OF QUADRATIC FUNCTIONS
 Elementary Algebra Syllabus
 Description of Mathematics
 Integration Review Solutions
 College Algebra  Applications
 A Tip Sheet on GREATEST COMMON FACTOR
 Syllabus for Elementary Algebra
 College Algebra II and Analytic Geometry
 Functions
 BASIC MATHEMATICS
 Quadratic Equations
 Language Arts, Math, Science, Social Studies, Char
 Fractions and Decimals
 ON SOLUTIONS OF LINEAR EQUATIONS
 Math 35 Practice Final
 Solving Equations
 Introduction to Symbolic Computation
 Course Syllabus for Math 935
 Fractions
 Fabulous Fractions
 Archimedean Property and Distribution of Q in R
 Algebra for Calculus
 Math112 Practice Test #2
 College Algebra and Trigonometry
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 Description of Mathematics
 Simplifying Expressions
 Imaginary and Complex Numbers
 Building and Teaching a Math Enhancement
 Math Problems
 Algebra of Matrices Systems of Linear Equations
 Survey of Algebra
 Approximation of irrational numbers
 More about Quadratic Functions
 Long Division
 Algebraic Properties of Matrix Operation
 MATH 101 Intermediate Algebra
 Rational Number Project
 Departmental Syllabus for Finite Mathematics
 WRITTEN HOMEWORK ASSIGNMENT
 Description of Mathematics
 Rationalize Denominators
 Math Proficiency Placement Exam
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 Systems of Linear Equations
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 Study Sheets  Decimals
 An Overview of Babylonian Mathematics
 Mathematics 115  College Algebra
 Complex Numbers,Complex Functions and Contour Integrals
 Growing Circles
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 The Natural Logarithmic Function: Integration
 Rational Expressions
 QUANTITATIVE METHODS
 Basic Facts about Rational Funct
 Statistics
 MAT 1033 FINAL WORKSHOP REVIEW
 Measurements Significant figures
 PreCalculus 1
 Compositions and Inverses of Functions
Rational Number Project
Fraction Operations and Initial Decimal Ideas Lesson 22: Overview 
Materials • Patty paper • Two color pencils or markers • Student sheets A and B • Transparencies 1 and 2 
Students use patty paper (an area model) to
multiply fractions. Students develop the algorithm for multiplying fractions by noticing patterns related to the patty paper model. 
Teaching Actions
Warm Up

Comments The
students should be able to do


Teaching Actions
Large Group Introduction Kathy’s Cake 2. Ask the students to think about how much cake Kathy 3. Explain that Kathy wants to eat twofifths of the 
Comments  
There is foursevenths of a cake remaining. The student may or may not draw a


Teaching Actions
5. Ask the students to explain what fraction of the whole Small Group/Partner Work • How did the picture change when you 
Comments  
Teaching Actions
o Where is a 2 by 1 rectangle in your
10. Write a 3 in the denominator of the first fraction in
the Ask the students to explain why multiplying 9 by 3 Ask: What number will we write in the denominator Ask: What does the 27 represent” (The number of 11. Write a 2 in the numerator of the multiplication Ask: What number should we write in the numerator 
Comments  
Students have trouble explaining why the multiplication algorithm works. The goal of the student pages and the wrap up is to help them verbalize why the algorithm works using the patty paper model. Students should be able to explain


Teaching Actions
Ask: What does the 10 represent? (The 10 pieces multiplication algorithm Translations: 
Comments  