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...
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...
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
A Triangle Expansion
Students review the foil method used to multiply two binomials. In this instructional activity on evaluating algebraic expressions, students are able to identify the coefficient in an algebraic expression, "act out" the foil method of...
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
Patterns in Pascal's Triangle
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...
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
Probability and Patterns with Pascal
In this Pascal worksheet, learners solve word problems dealing with probability and patterns based on Pascal's triangle theory. Students complete 10 problems total.
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
Pascal's Penguins
In this Pascal's Triangle activity, students find missing numbers in a pattern of "triangle penguins." Worksheet has 2 different missing number patterns to solve, each on a different page.
Curated OER
Number Patterns in Everyday Life
Examine scenarios involving number patterns. Learners complete a series of activities, including working with Pascal's triangle ando completing chart activities based on different pricing for pizza toppings. An included extension has...
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
Alabama Learning Exchange
Probability with Tree Diagrams
Middle school math whizzes view a PowerPoint tutorial on tree diagrams. Using "Anthonio's Pizza Palace," an interactive activity involving the selection of pizza toppings, they use Pascal's triangle as a tree diagram. This is an...
Curated OER
Decimals, Percent and Scientific Notation
In this decimals, percent and scientific notation worksheet, 9th graders solve various types of problems that range from shading an indicated part of a shape to calculating using scientific notation to express their answer. They express...
Curated OER
Building Shapes From Numbers
Students experience how to illustrate some of the many connections between number and geometry. Through this 2-3 day focus on square numbers and triangular numbers, students make connections among mathematical topics.
Curated OER
Richard's Dice
Learners problem solve logic problems. They complete a worksheet using dice as a manipulative. They decide on a problem solving strategy, solve the problem, and write up the solution.
Curated OER
Exploring Special Lines
Students compare and order numbers. In this geometry instructional activity, students write equations for inequalities. They differentiate and apply concepts of triangular properties to solve problems.
Curated OER
Leadership Program in Discrete Mathematics
Students find the total cost of the items in the song, "The 12 Days of Christmas."
Curated OER
CHAOS AND COMPUTERS
Students discuss the Chaos Theory and how it came into existence.They observe order and compare it to the randomness of chaos. The instructional activity features the playing of a game to reinforce concepts.
Curated OER
Fun With Fractals
Learners use fractals to analyze nature. For this geometry lesson, students work in groups using technology and math to communicate. They identify where in the real world fractal can be seen.
National Council of Teachers of Mathematics
The Math Forum: Exploring Pascal's Triangle
Contains lessons and activities on Pascal's Triangle at three levels: elementary, intermediate, and advanced.
Texas Instruments
Texas Instruments: Exploring the Binomial Theorem
Students expand expressions using Pascal's Triangle and verify the results on a Computer Algebra System CAS tool.