These lessons are designed to give teachers a script to follow
when using the activities and discussions developed for
Project Interactivate. Each lesson gives prerequisites, preparation
instructions, a suggested outline, and alternate outlines.
Teachers who have designed alternative versions of lessons are
encouraged to submit them to the Interactivate Archives. Use
this form to contact the Interactivate Team for details.
The lessons are arranged according to the
NCTM Principles and Standards for
School Mathematics.
See WHAT'S NEW in Interactivate!
View suggested activities and corresponding lesson plans suggested for
ELEMENTARY GRADES 35.
Number and Operation
Concepts

Lesson: 
Description: 
Practicing Arithmetic 
Students practice arithmetic skills. Can be tailored for practice of all types of single operation arithmetic ranging from simple addition to operations with integers and decimals. 
Fraction Facts 
Introduces students to fractions and explores basic mathematical operations with fractions,
comparing fractions, and converting fractions into decimals or percents. 
Comparing Fractions 
The following discussions and activities are designed to give students practice in comparing fractions. The activities provide ample practice opportunities to reinforce the information from the discussions. 
Multiplying Decimals and Mixed
Numbers 
Reinforces skills associated with multiplying decimals and mixed
numbers. 
Patterns In Fractals 
Introduces students to the idea of finding number patterns in the
generation of several different types of fractals. 
Patterns In Pascal's Triangle 
Shows students that number patterns exist in the Pascal's Triangle, and
reinforces student's ability to identify patterns. 
Sets and Venn Diagrams 
Introduces students to the notions of sets, elements, and Venn
diagrams. 
Venn Diagram Shape Sorter  Allows students to sort different shapes into Venn diagrams. 
An Introduction to
Sequences 
Introduces students to arithmetic and geometric sequences.
Students explore further through producing sequences by varying the
starting number, multiplier, and addon. 
Clock Arithmetic and Cryptography 
Introduces students to modular (clock) arithmetic and how modular arithmetic can be
used to encode messages using simple shift, multiple and affine ciphers. 
Estimation 
Introduces students to making estimations. 
Geometry and Measurement Concepts

Lesson: 
Description: 
Perimeter 
Introduces students to the concept of perimeter. 
Area 
Introduces students to the concept of area. 
Length, Perimeter and Area 
Introduces students to length, perimeter and area. 
Lines, Rays, Line Segments, and Planes 
Introduces students to lines, rays, line segments, and planes. 
Angles 
Introduces students to acute, obtuse, and right angles as well as
relationships between angles formed by parallel lines crossed by
a transversal. 
Quadrilaterals 
Introduces students to quadrilaterals with an emphasis
on defining characteristics of parallelograms, rectangles, and trapezoids. 
Surface Area and Volume 
Introduces students to the concepts of surface area and volume. 
Pythagorean Theorem 
Students learn how the Pythagorean Theorem works and how to apply it. 
Translations, Reflections,
and Rotations 
Introduces students to concepts of transformations. 
Geometry in Tessellations 
Explores lines, planes, angles, and polygons in tessellations. 
Symmetry in Tessellations 
Examines plane symmetry. 
Visual Patterns in Tessellations 
Explores the mathematical nature of art and tilings and looks at the role of
math in nature and our culture. 
Introduction to Fractals: Infinity, SelfSimilarity
and Recursion. 
Introduces students to the ideas involved in understanding fractals. 
Geometric Fractals 
Outlines the approach to building fractals by cutting out portions of plane figures. 
Fractals and the Chaos Game 
Outlines the approach to playing the chaos game and how it relates to geometric fractals. 
Properties of Fractals 
A capstone lesson to allow students to build a working definition of fractal. 
Chaos 
Students learn about the concepts and applications of chaos. 
Pascal's Triangle 
Looks at how Pascal's Triangle can be used to generate Sierpinski trianglelike results. 
Irregular Fractals 
Looks at how irregular fractals can be generated and how they fit into
computer graphics. 
The Mandelbrot Set 
Introduces all of the 2 variable function and prisoner/escapee notions necessary to
understand the Mandelbrot set. 
