Worksheet
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Mathematics Test Book 2 for Grade 4

For Students 4th
In this mathematics test book 2 for grade 4 learning exercise, 4th graders answer nine questions in standardized test format about measurement, subtraction and number patterns.
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In and Out Function

For Teachers 3rd
Third graders examine how to solve in and out function problems, or mystery numbers. They analyze a variety of mystery number problems together and extend the patterns. Students then independently complete a Mystery Number activity...
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Sequences and Exponents

For Teachers 3rd - 5th
Young scholars practice multiplication sequences and multiplying with exponents. They study how a sequence is a set of numbers which follows a mathematical rule and can be used with all four operations and with combinations of operations.
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Mathematical Induction

For Students 9th - 10th
In this induction worksheet, students determine if a statement is true or false through induction, axioms, and reasoning. Most statement include sequences or divisibility questions. This three-page worksheet contains three problems,...
Lesson Plan
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Basic Counting Principle

For Teachers 4th - 8th
Students find the number of possible arrangements of several objects by using the Basic Counting Principle. In this math lesson, students divide into groups and determine the number of possible sandwiches which can be made given certain...
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The Rhythm of My Heart

For Teachers 1st
First graders describe pattern rules. They use the rhythm being played on a bell and candy hearts to explore patterns and pattern rules. This is an especially good instructional activity to use around Valentine's Day.
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Belongs, Doesn't Belong

For Teachers 5th
Fifth graders discover the rule used to sort a set of data into two sets, those data that belong according to the rule and those data that don't belong. Students participate in a game to determine the rule. They discuss strategies for...
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Cannon Balls

For Teachers 2nd
Second graders investigate 2 and 3 dimensional objects. They discuss the characteristics of the triangle. Students create sequential patterns and describe the rule for their pattern.
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Exam One Review

For Students 12th - Higher Ed
In this secondary mathematics activity, students solve problems that involve patterns, arithmetic and geometric sequences, geometric logic and reasoning, and changing bases.  The three page activity contains fourteen problems. ...
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Balancing Acts

For Teachers 4th
Fourth graders solve problems that can be modeled with algebraic equations or expressions. There are five sets of problems. Students should attempt one problem from each set each day. They increase in difficulty as the week progresses....
Lesson Plan
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Converge or Diverge?

For Teachers 11th - 12th
Learners prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and examine...
Lesson Plan
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A Fibonacci Primer

For Teachers 7th - 10th
Upper graders explore the Fibonacci sequence. They examine the characteristics of the Fibonacci sequence, list the properties of the sequence and determine how it connects to Pythagorean Triples. Related thinking questions are included.
Lesson Plan
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Math 6 - Act. 08: Patterns

For Teachers 6th
Sixth graders use centimeter cubes to build structures and then compare and contrast the patterns they see.
Lesson Plan
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Patterns, Relations, and Functions: Lesson 3: Numerical Patterns

For Teachers 4th
Fourth graders extend and continue numerical patterns using function or input/output machines. They finish the increasing patterns using input/output tables, and generalize the rules that apply to the pattern. They complete the...
Worksheet
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Building Big Ideas in Math With a Frog Theme

For Students 3rd - 4th
In this problem solving worksheet about frogs, students complete two pages of activities. Kids figure out how a frog can hop between lily pads following the rules given. Students draw all possible paths.
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ABC...1, 2, 3...Green, Red, Blue...Do You Have a Clue?... IT'S PATTERNS

For Teachers 2nd
Second graders view clips from the animated series Math Monsters, and discuss the many ways patterns can be found in the world around us. Following the video portion of the lesson, 2nd graders visit a variety of Web sites to assess their...
Lesson Plan
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Patterns, Relations, and Functions: Lesson 7: Input/ Output Tables

For Teachers 4th
Fourth graders determine how to complete input/output tables. They express rules for input/output or function tables. They complete a worksheet that it is associated with the lesson.
Lesson Plan
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Finding the nth Term

For Teachers 10th - 11th
Students analyze patterns and try to figure out the next term in the sequence. In this algebra lesson, students discuss the functions rule and how it works to solve sequences. They practice solving problems and find the nth term or what...
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Amazing Fibonacci

For Teachers 8th - 12th
Students integrate the patterns of Fibonacci into music. For this geometry lesson, students apply the concepts of recursion, pattern and Phi or Golden Ratio to composing and playing music on various instruments. They lesson is co-taught...
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Geometry: Helix-a-Graph

For Teachers 9th - 12th
Students use geometry to create art. In this geometric graphing and patterns lesson, students create a helix-a-graph by plotting points on a grid that follow a certain pattern and analyze the drawing they created.
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Polly and the Shapeshifter

For Teachers 9th - 11th
Students analyze the patterns in polygons and relate it to the rate of change. In this algebra lesson, students discuss the relationship between the data and the graph of the data.
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Getting Out of Line

For Teachers 9th - 12th
Students explore basic connections between graphs, tables, and symbolic representations for lines, parabolas, inverse models, and exponential models. One of the primary goals of this lesson is to help students begin to recognize patterns...
Lesson Plan
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Introduction to Fractals: Geometric Fractals

For Teachers 6th - 8th
Learners study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Learners complete worksheets based on Geometric Fractals.
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Geometric Fractals and the Chaos Game

For Teachers 8th - 10th
Students define fractals and patterns. They explore how a seemingly random process can result in a pattern. Students practice probability and fractions skills by playing the chaos game online.