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Interactive
CK-12 Foundation

Pascal's Triangle: Pyramid Blocks

For Students 9th - 12th Standards
Build a pyramid of sums. An interactive presents the first five rows of Pascal's Triangle as a pyramid. Pupils match missing entries in the pyramid and continue the pattern to determine entries of other rows. The learners use the entries...
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PPT
Curated OER

Alice in Fractalland

For Teachers 4th - 8th Standards
Take your class on a field trip to Fractalland where they'll learn all about number and shape patterns. Based on Disney's movie Alice in Wonderland, this resource takes young mathematicians on an adventure as they explore patterns in...
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Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 7th - 11th
Students explore the concept of Pascal's Triangle. In this Pascal's Triangle lesson, students use an applet called 'Coloring Multiples' to explore Pascal's Triangle. Students develop patterns starting with various numbers in Pascal's...
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Lesson Plan
Curated OER

Patterns in Pascal's Triangle

For Teachers 5th - 11th
Young scholars examine the patterns in Pascal's Triangle. In this recognizing lesson, students view a model of Pascal's Triangle and describe the patterns of the multiples. Young scholars identify the shapes that are made within Pascal's...
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Handout
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World Mysteries

Pascal’s Triangle and Sierpinski Triangle

For Teachers 6th - 11th Standards
Your learners will enjoy this one-page, color-coded poster containing Pascal's triangle and its connection to Sierpinski's triangle. By coloring odd numbers orange and even numbers green on Pascal's triangle a pattern evolves,...
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Lesson Plan
Curated OER

Number Patterns in Pascal's Triangle

For Teachers 9th - 12th
Students reproduce the first eleven rows of Pascal's Triangle by recalling number patterns. In this math lesson plan, students are given a series of patterns to work with in order to reproduce Pascal's Triangle. Students are...
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Lesson Plan
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Texas Instruments

Exploring the Binomial Theorem

For Teachers 9th - 12th Standards
A comprehensive lesson that explores and researches Pascal's triangle and relates its properties to the Binomial Theorem through a variety of lessons. Have the class practice expanding polynomials using the theorem. A few other formulas...
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Lesson Plan
Curated OER

A Triangle Expansion

For Teachers 9th - 12th
Learners review the foil method used to multiply two binomials. In this lesson on evaluating algebraic expressions, students are able to identify the coefficient in an algebraic expression, "act out" the foil method of multiplying...
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Lesson Plan
Curated OER

Patterns in Pascal's Triangle

For Teachers 7th - 9th
Students examine the patterns that exist in Pascal's Triangle. They explore multiples and factors. Sudents use an applet to create and color the multiples in Pascal's Triangle.
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Lesson Plan
Curated OER

Finding Remainders in Pascal's Triangle

For Teachers 5th - 6th
Learners use clock arithmetic to find remainders. In this patterns in math lesson, students explore the relationship between clock arithmetic and remainders using a computer applet. Learners also identify patterns in Pascal's triangle...
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Worksheet
Curated OER

Easy Worksheet: Pascal's Triangle

For Students 9th - 12th
In this Pascal's Triangle learning exercise, high schoolers solve 4 short answer problems. Students shade multiples of a given number on Pascal's Triangle. High schoolers shade rows of Pascal's Triangle using mod eight and mod three.
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Worksheet
Curated OER

Pascal's Triangle

For Students 9th - 12th
In this algebra worksheet, students expand Pascal's Triangle and record the requested terms for a given row. There are 4 questions.
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Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 4th
Fourth graders explore the patterns of Pascal's Triangle. In this problem solving lesson, 4th graders identify the patterns in the triangle by using the elements and the rule of the triangle.
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Worksheet
Math Wire

How Many Winter Paths Do You See?

For Teachers 6th - 8th
Is the path through December, January, and February the only path through winter? Not in a holiday math activity based on Pascal's Triangle! Middle schoolers study a triangle made of the letters from the word winter and decide how many...
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Worksheet
Mathwire

Shamrock Paths

For Students 7th - 10th Standards
What could St. Patrick's Day and Pascal's triangle possibly have in common? Trace the pattern in a holiday-themed activity that prompts learners to find the word shamrock as many times as they can.
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Worksheet
Curated OER

Pascal's Triangle

For Students 3rd - 5th
In this Pascal's triangle worksheet, students view Pascal's triangle and complete short answer questions about each row of the triangle. Students complete 6 questions.
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Lesson Plan
Curated OER

Patterns in Pascal's Triangle

For Teachers 4th
Fourth graders investigate the patterns found in Pascal's Triangle by identifying patterns on different items -- including the teachers clothing, a checker board, a quilt, and a spider web. The students access the referenced computer...
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Worksheet
Curated OER

Coalitions and Pascal's Triangle

For Students Higher Ed
In this coalitions worksheet, students answer 5 questions involving Pascal's triangle, coalitions, combinations, and the Banzhaf power index.
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Lesson Plan
Curated OER

Leadership Program in Discrete Mathematics

For Teachers 6th - 8th
Students, using Pascal's triangle, find the number of items given each day in the song, "The 12 Days of Christmas."
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Handout
Curated OER

Series Review Sheet

For Students 9th - 12th Standards
Save an infinite amount of time and enjoy this pre-made series formula guide. Arithmetic and geometric formulas are all included as well as Pascal's Triangle and examples of how the Binomial Theorem expands. 
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Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 6th - 8th
In this math worksheet, students read the discussion about the importance of games. They create a game as directed. They also read the rules for the Pascal Triangle.
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Worksheet
Curated OER

Pascal's Triangle

For Students 11th
For this algebra worksheet, 11th graders solve binomials and trinomials using Pascal's Triangle theorem. They are able to factor out  any amount of higher power without having to factor all the way. There are 3 problems.
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Worksheet
Curated OER

Pascal's Penguins

For Students 1st - 3rd
In this addition worksheet, learners fill in the numbers inside 7 penguins by adding together the 2 penguins right above each one. Students figure out the sums for each penguin with Pascal's triangle.
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Organizer
Curated OER

Pascal's Triangle

For Students 6th - 8th
In this math worksheet, students find the multiples of five that end in 0 or 5. Then they shade the numbers within Pascal's Triangle.

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