Pascal's Triangle Teacher Resources
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Curated OER
Pascal's Triangle
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.
Curated OER
A Triangle Expansion
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...
Khan Academy
Binomial Theorem (Part 2)
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...
Curated OER
Visuals Patterns in Pascal's Triangle
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.
Math Wire
How Many Winter Paths Do You See?
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...
Curated OER
Two-dimensional Number Patterns
In this online two-dimensional number patterns worksheet, students solve eight in-depth two-dimensional number patterns. Students check their answers as they go.
EngageNY
The Binomial Theorem
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...
EngageNY
The Binomial Theorem
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...
Curated OER
Investigation-Pattern/Functions
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...
Curated OER
Fibonacci Numbers
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...
Curated OER
Answer to May 2007 Problem High Schools in Fort Collins
In this Pascal's Triangle worksheet, students find the number of routes between schools. The worked out solution is linked to the problem.
Curated OER
nCr: Combinations
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.
Curated OER
Students use fundamental counting principle to compute combinations and permutations
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...
Curated OER
Pascal's Triangle
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.
Curated OER
Mathematical Treasure Hunt
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.
Curated OER
Pascal's Triangle
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.
Curated OER
Modular Addition And Pascal's Triangle
For this math worksheet, students use the operation of addition to complete Pascal's Triangle. The sheet includes directions to begin the activity.
Curated OER
Blanks Pascal's Triangle
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.
Curated OER
Practice: Binomial Expansions
Practice applying the binomial theorem on this worksheet. It contains five multiple choice and five free response problems. The solutions are provided.
Curated OER
Pascal's Penguins
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.
Curated OER
Binomial Expansion
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....
Curated OER
Regents Exam - Powers: Binomial Expansions
In this binomial expansions worksheet, students solve 8 multiple choice and short answer questions. Students find a specific term in a given binomial expansion.
Curated OER
Easy Worksheet: Special Numbers
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.
Curated OER
Pascal Flower Problems
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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