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Grade 7, Math
Std #4:
Express a pattern shown in a table, graph, or chart as an algebraic equation.
  • Recognizing the relationships between numerical patterns in tables and their respective graphs in the coordinate plane
  • Determining if a constant rate of change exists in a pattern

Lesson Plans:

Up In Smoke
Cross Curricular unit that includes creating graphs.

Introduction to Functions:
This lesson is designed to introduce students to the idea of functions and their representations as rules and data tables, including the mathematical notions of independent and dependent variables.

An Introduction to Arithmetic and Geometric Sequences: 
This lesson is designed to introduce students to the idea of an arithmetic sequence.

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

Learning about Rate of Change in Linear Functions Using Interactive Graphs:  Constant Cost per Minute
In this two-part example users can drag a slider on an interactive graph to modify a rate of change and learn how modifications in that rate affect the linear graph displaying accumulation.

Patterns and Functions
In this lesson, students will investigate properties of perimeter, area, and volume related to various geometric 2- and 3-dimensional shapes.

Bouncing Tennis Balls
Students will develop their skills in collecting and recording data using the real-world situation of a bouncing tennis ball.

Momentum Crash Course
Study momentum and its role in car crashes

Circadian Rhythm Temperature Change
Study body temperature fluctuations and yawning to gain a better understanding of circadian rhythms

Graphing the Four Forces
Students will use information about four forces to make a decision about whether or not an airplane is able to fly.

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

Finding Patterns in Fractals: 
This lesson is designed to introduce students to the idea of finding patterns in the generation of several different types of fractals.

Patterns in Pascal's Triangle: 
This lesson is designed to show students that patterns exist in the Pascal's Triangle, and to reinforce student's ability to identify patterns.

Introduction to Functions:
This lesson is designed to introduce students to the idea of functions and their representations as rules and data tables, including the mathematical notions of independent and dependent variables.

Quilts and Math
After being introduced to traditional quilt patterns and their historical significance, students will identify traditional quilt patterns

 

Resources:

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

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

Locker Problem Activity: 
Students use number patterns to solve the locker problem.

Pascal's Triangle: 
This activity has various skill levels.  On the intermediate level, students study the numbers to determine a pattern.

Rectangle Pattern Challenges: 
Students compare two figures to determine what kind of pattern is developing.

Virginia Mathematics Standards of Learning Patterns, Functions, and Algebra: 
A list of internet resources and lesson plans related to the topic of patterns.

Ask Dr. Math: 
An explanation of functions.

Functions as Processes or Rules Discussion:
A study of functions using a model.

Finite State Machine:
A finite state machine is an imaginary machine that is used to study and design systems that identify patterns.

CPS K12
This is a structured lesson plan that provides strategies for teaching, examples, worksheets, and assessments. Instruction on the TI-82/83 is provided. (Scroll to Day 75)

 

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