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Grade 6, Math
Std #3:
Solve problems using numeric and geometric patterns.

Lesson Plans:

Paper Pool
The paper pool game provides an opportunity for students to develop their understanding of ratio, proportion, greatest common divisor, and least common multiple.

PBS:  Hop To It!
In this teacher directed lesson, students will model a problem situation, look for patterns, find a general rule, and express the rule using a variable.

Petals Around the Rose: Identifying Patterns in a Dice Game
A puzzle involving five dice and a nonstandard pattern is used to promote problem-solving skills.

Possible Solutions Sets
Students look for patterns and establish an organized list to find all possible solution sets.

Patterns and Functions
Students investigate properties of perimeter, area, and volume related to various geometric 2- and 3-dimensional shapes.

Patters That Grow
Students use logical thinking to create, identify, extend, and translate patterns.

Paper Pool:  Analyzing Numeric and Geometric Patterns
Students predict the pocket into which a billiards ball will fall and the number of rails it will hit as the ball crosses a pool table.

Magic Squares:  Discovering Their History and Their Magic
This activity explores magic squares from both a historical and mathematical perspective.

Counting Embedded Figures
Students will look for patterns within the given data. 

Birthdays and the Binary System:  A Magical Mixture
These activities revolve around patterns and place value in the binary system.

Application: Using Graphs and Patterns in Everyday Life
This unit focuses on the application of mathematics to real-world situations.  Students must deal with data to complete an organized chart for the purpose of transferring information to a graph or for generalizing a rule.

Educator's Reference Desk Lesson Plan
Find a Pattern with "One Grain of Rice".  Students use the problem solving strategy of "find a pattern" to predict the number of grains of rice Rani (from One Grain of Rice) will receive after 30 days.  Students use a table to assist with making predictions.

Educator's Reference Desk Lesson Plan
Cube Coloring Problem.  Investigate what happens when different sized cubes are constructed from unit cubes, the surface areas are painted, and the large cubes are taken apart.  How many of the 1x1x1 unit cubes are painted on three faces, two faces, one face, no faces?

Adinkra Design
Students will demonstrate understanding of rows, columns, repeated patterns.

Patterns and Relationships
The purpose of this lesson is to create factor sticks with which students can practice and have a visual aid to help with greatest common factors.  It might also help understand the concept of greatest common factors.

ProTeacher - Pattern Play:
Students create their own number patterns to reinforce their understanding of the concept of patterns.  They will also search for the "unexpected guests" in each other's patterns.

Classification of Patterns:
Lesson Plan focusing on symmetry and classification of repeating patterns. 

Blick - Graph Paper Patterns
Students will apply geometry and simple chart making skills to produce visually intriguing pieces, connecting mathematic principles of patterning with visual patterning.

PBS - Snake Patterns-s-s-s
Finding and extending patterns are valuable steps towards predicting and making generalizations as well as laying the foundation for mathematical models.  These understandings are invaluable in the formal study of algebra.  Thus, this lesson fosters the development of algebraic thinking in a curriculum which is based on problem solving.

Population Simulation with M&M's: 
This discovery activity involves two simulations with M&M's® to explore population growth and decay.

Fill ‘er Up: 
Two containers with different shapes are shown to the class. Each time a measure of water is poured into the container, the number of this measure (x) and the resulting height of the water (y) are plotted on a graph as an ordered pair.

Magic Squares and Stars:
For centuries, mathematicians and individuals interested in recreational mathematics have been interested in magic squares.  Practically all historians agree that the magic square had its origin in China centuries ago.  Use these Magic Squares to enhanced student learning!

IPatterns in Context: 
Students will develop an understanding that a table of data associated with a specific situation determines a unique pattern.

Blick - Repetitive Patterns Lesson Plan
This lesson plan will help to develop basic knowledge of patterns and gain experience with repetition.

 

Resources:

Cyberchase Games - Stop that Creature: 
Students figure out the rule that runs the machine in order to stop the monsters.

Function Machine:
A virtual math manipulative.  Drag numbers into the number machine to determine the function and complete the data table.

Patterns:
Online practice with numeric patterns.

Ask Dr. Math: 
An explanation of functions.

Math Forum - A Thousand Lockers
Imagine you are at a school that still has student lockers.  There are 1000 lockers, all shut and unlocked, and 1000 students.

 

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