Pascal's Triangle Teacher Resources

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Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 10th
In this geometry lesson, 10th graders investigate Pascal's Triangles as they relate it to probability problems and geometric problems. They review the theories behind the formulas.
Lesson Plan
Curated OER

A Triangle Expansion

For Teachers 9th - 12th
Students 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...
Instructional Video14:20
Khan Academy

Binomial Theorem (Part 2)

For Students 10th - 12th
Sal shows two ways to calculate the coefficients of a binomial expansion quickly. The first method shows the relationship between PascalÕs triangle and the coefficients, and the second method shows an even faster way to write the...
Lesson Plan
Curated OER

Visuals Patterns in Pascal's Triangle

For Teachers 7th - 12th
Students examine Pascal's Triangle and attempt construct it on their own.  In this visual patterns instructional activity students explore patterns that exist in Pascal's triangle.
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...
Worksheet
Curated OER

Two-dimensional Number Patterns

For Students 6th - 7th
In this online two-dimensional number patterns worksheet, students solve eight in-depth two-dimensional number patterns. Students check their answers as they go.
Lesson Plan
EngageNY

The Binomial Theorem

For Teachers 11th - 12th Standards
Sometimes, there is a better way. Scholars develop Pascal's triangle as a method to arrive at the coefficients of binomial expansions as an easier method to expand binomials. The learners connect the formula for binomial coefficients to...
Lesson Plan
EngageNY

The Binomial Theorem

For Teachers 11th - 12th Standards
Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals...
Lesson Plan
Curated OER

Investigation-Pattern/Functions

For Teachers 6th - 8th
Young scholars explore number patterns. In this number patterns and probability math lesson, students work in groups to describe the patterns present in the first five rows of Pascal's Triangle, then write numbers to continue this...
Lesson Plan
Curated OER

Fibonacci Numbers

For Teachers 5th - 8th
Students calculate the Fibonacci sequence of numbers. Through the use of Fibonacci numbers in flowers, leaves, fruits, vegetables, pine cones, and other forms of nature; students explore how Fibonacci numbers occur in nature. Then they...
Worksheet
Curated OER

Answer to May 2007 Problem High Schools in Fort Collins

For Students 9th - 12th
In this Pascal's Triangle worksheet, students find the number of routes between schools. The worked out solution is linked to the problem.
Worksheet
Curated OER

nCr: Combinations

For Students 9th - 12th
In this probability worksheet, students utilize factorials or Pascal's Triangle to calculate the combination given in the form of nCr. There are 4 questions.
Lesson Plan
Curated OER

Students use fundamental counting principle to compute combinations and permutations

For Teachers 9th - 10th
Students define Pascal's triangle and special notations used to represent nth elements. In this geometry lesson, students solve problems using permutations and combinations. They compare the formula for permutation to that of Pascal's...
Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 6th - 8th
Students study Pascal's triangle. They construct their own version of Pascal's triangle, and relate some of the uses for it. While working through this process, students practice their integer multiplication and division skills.
Activity
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Curated OER

Mathematical Treasure Hunt

For Teachers 3rd - 8th Standards
The hunt is on! Young mathematicians follow clues and complete a series of ten math puzzles as they try to crack Dr. Integer's code and find the location of his hidden treasure.
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.
Worksheet
Curated OER

Modular Addition And Pascal's Triangle

For Students 4th - 5th
For this math worksheet, students use the operation of addition to complete Pascal's Triangle. The sheet includes directions to begin the activity.
Worksheet
Curated OER

Blanks Pascal's Triangle

For Students 6th - 8th
In this math worksheet, students attempt to create Pascal's Triangle with using multiples. The outer hexagons are filled with the number 1 to begin with.
Lesson Plan
Curated OER

Practice: Binomial Expansions

For Teachers 10th - 12th
Practice applying the binomial theorem on this worksheet. It contains five multiple choice and five free response problems. The solutions are provided.
Worksheet
Curated OER

Pascal's Penguins

For Students 1st - 3rd
For 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.
Lesson Plan
Curated OER

Binomial Expansion

For Teachers 11th - Higher Ed
In this binomial expansion worksheet, students solve and complete 81 various types of problems. First, they find the given sum and evaluate each factorial notation. Then, students expand each binomial and write only the coefficients....
Lesson Plan
Curated OER

Regents Exam - Powers: Binomial Expansions

For Teachers 9th - 12th
In this binomial expansions worksheet, students solve 8 multiple choice and short answer questions.  Students find a specific term in a given binomial expansion.
Worksheet
Curated OER

Easy Worksheet: Special Numbers

For Students 9th - 12th
In this special numbers activity, students solve 4 short answer problems. Students find various terms in the Fibonacci sequence, triangular number sequence, and the natural numbers in Pascal's Triangle.
Worksheet
Curated OER

Pascal Flower Problems

For Students 10th - Higher Ed
In this pascal's triangle problems, students locate the pascal flower for four problems and then answer questions regarding each flower located.

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