CK-12 Foundation
Pascal's Triangle: Pyramid Blocks
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...
Curated OER
Pascal's Triangle
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...
Curated OER
Patterns in Pascal's Triangle
Students 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. Students identify the shapes that are made within Pascal's Triangle.
Texas Instruments
Exploring the Binomial Theorem
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...
Curated OER
Number Patterns in Pascal's Triangle
Learners reproduce the first eleven rows of Pascal's Triangle by recalling number patterns. In this math lesson, students are given a series of patterns to work with in order to reproduce Pascal's Triangle. Learners are able recognize...
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 many...
Mathwire
Shamrock Paths
What could St. Patrick's Day and Pascal's triangle possibly have in common? Trace the pattern in a holiday-themed worksheet that prompts learners to find the word shamrock as many times as they can.
Curated OER
Patterns in Pascal's Triangle
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.
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.
Alabama Learning Exchange
Binomial Expansion—Shortcut Please
There has got to be a better way; you just have to find it! Given a general binomial to expand with increasing powers, pupils realize that there must be a better way than multiple multiplications. Classmates look for patterns and use...
Curated OER
A Triangle Expansion
Students review the foil method used to multiply two binomials. For this lesson on evaluating algebraic expressions, students are able to identify the coefficient in an algebraic expression, "act out" the foil method of multiplying...
Curated OER
Finding Remainders in Pascal's Triangle
Learners use clock arithmetic to find remainders. In this patterns in math instructional activity, students explore the relationship between clock arithmetic and remainders using a computer applet. Learners also identify patterns in...
Curated OER
Pascal's Triangle
Fourth graders explore the patterns of Pascal's Triangle. In this problem solving activity, 4th graders identify the patterns in the triangle by using the elements and the rule of the triangle.
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
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
Leadership Program in Discrete Mathematics
Students, using Pascal's triangle, find the number of items given each day in the song, "The 12 Days of Christmas."
Curated OER
Pascal's Triangle
For this math worksheet, pupils read the discussion about the importance of games. They create a game as directed. They also read the rules for the Pascal Triangle.
Curated OER
Pascal's Triangle
In 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.
Curated OER
Pascal's Triangle
Young scholars 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
Pascal's Patterned Triangle
Fifth graders receive a brief history of Pascal's triangle. As a class the students construct the first few rows of the triangle. The students are then split into groups where they finish a worksheet identifying the total value of each...
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
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
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...