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...

What do Pascal's law, Archimedes' Principle, and Bernoulli's Principle have to do with fluid mechanics? The included PowerPoint presentation provides the basic definitions and equations associated with the three. A set of homework...

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.

Buoyancy is the fine line between a ship and a submarine. The presentation covers fluid pressure, air pressure, Pascal's Principle, elevation, Archimedes Principle, buoyancy, and Bernoulli's Principle.

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. 

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...

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...

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...

It's all systems go for learning about hydraulic systems. An eBook provides a set of videos and exercise questions for a semester-long course on hydraulics. Six units introduce hydraulics, Pascal's law, hydraulic applications, flow...

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...

An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 

Take a look at an organized physics course. The 34-section electronic textbook covers material in AP® Physics 1 and 2. Teachers use the text to supplement lectures and have the class work through the labs. Each section contains...

Create rules for numerical sequences. Pupils develop local rules and recursive rules for number sequences. The sequences are linear, quadratic, and cubic in nature. Scholars find that some local rules do not work, no matter where in...

Learners use an interactive simulation to explore the connection between force and air pressure. They adjust the mass of a vehicle and air pressure in its tires and predict the result. As the vehicle's mass increases, the tire pressure...

Given a choice between playing a game or completing a worksheet, which do you think your class would choose? Tap into their reasoning skills with a series of puzzles focused on gas laws unit conversion. You can use the resource online or...

Time to take a pulse check. The mid-module assessment allows pupils to check where their knowledge falls for the first portion of the module. The 10th resource in a series of 23 covers content from the binomial theorem to hyperbolas....

Bring some concrete reasoning to the skills of multiplying and combining terms. Using various strategies, the six activities in the module provide practice for the skills of adding, subtracting, multiplying, and diving polynomials. The...

Every grade level can learn from Pascal's Triangle, and this site helps make it possible. There are explanations, examples, exercises and printable worksheets available.

Wajdi Mohamed Ratemi shows how Pascal's triangle is full of patterns and secrets. [4:50]

This lesson focuses on Pascal's Triangle, a number pyramid in which every cell is the sum of the two cells directly above. It contains all binomial coefficients, as well as many other number sequences and patterns.

Students must determine the force required to hold a syringe in place when a second force is trying to get it to move.

This environment has been created to allow students to see how larger masses can be balanced or even lifted by smaller masses by designing your system correctly.

This lesson focuses on Combinatorics, a branch of mathematics which is about counting. It includes 5 sections: Factorials, Permutations, Combinations, Combinatorics and Pascal's Triangle, and Combinatorics and Probability with examples...

Download these free worksheets to sharpen your patterning skills. Sheets focus on number patterns, Pascal's triangle, and pattern blocks.