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Worksheet
Curated OER

Pascal's Triangle

For Students 9th - 12th
In this algebra worksheet, students expand Pascal's Triangle and record the requested terms for a given row. There are 4 questions.
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Worksheet
Curated OER

Coalitions and Pascal's Triangle

For Students Higher Ed
In this coalitions worksheet, students answer 5 questions involving Pascal's triangle, coalitions, combinations, and the Banzhaf power index.
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Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 4th
Fourth graders explore the patterns of Pascal's Triangle. In this problem solving lesson, 4th graders identify the patterns in the triangle by using the elements and the rule of the triangle.
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PPT
Urbana School District

Fluids

For Students 11th - Higher Ed Standards
In 1879, Sir William Crookes discovered the fourth state of matter, plasma. The presentation covers states of matter, phase changes, density, pressure Pascal's Principle, buoyant force, Archimedes' Principle, Bernoulli's Principle,...
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Worksheet
Curated OER

Modular Addition And Pascal's Triangle

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

Leadership Program in Discrete Mathematics

For Teachers 6th - 8th
Students, using Pascal's triangle, find the number of items given each day in the song, "The 12 Days of Christmas."
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PPT
Science Geek

Measurement of Pressure and Temperature

For Teachers 9th - 12th Standards
We all have standards and scientists are no exception. Presentation covers standard temperature, standard pressure, temperature conversions, and absolute zero. It explains pressure using pascals, mm of mercury, atmosphere, and torr, then...
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Handout
Curated OER

Series Review Sheet

For Students 9th - 12th Standards
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. 
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Worksheet
Curated OER

Pascal's Triangle

For Students 11th
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.
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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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Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 6th - 8th
In this math worksheet, middle schoolers read the discussion about the importance of games. They create a game as directed. They also read the rules for the Pascal Triangle.
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Worksheet
Curated OER

Pascal's Penguins

For Students 3rd - 4th
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.
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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...
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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 many...
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Lesson Plan
Alabama Learning Exchange

Binomial Expansion—Shortcut Please

For Teachers 9th - 12th Standards
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...
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Activity
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Teach Engineering

Cartesian Diver

For Teachers 9th - 12th Standards
Amaze your scholars with an activity that uses a Cartesian diver to demonstrate Pascal's Law, Archimedes' Principle, and the Ideal Gas Law. Groups then repeat the process and make their own diver move up and down in a bottle.
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Lesson Plan
1
1
Teach Engineering

Above-Ground Storage Tanks in the Houston Ship Channel

For Teachers 9th - 12th Standards
Introduce your class to storage tank failures caused by major storms with an activity that looks at how the concepts of Archimedes' Principle and Pascal's Law affect the storage tanks along the Houston Ship Channel. The background...
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Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 10th
For 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.
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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 lesson students explore patterns that exist in Pascal's triangle.
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Worksheet
Curated OER

Two-dimensional Number Patterns

For Students 6th - 7th
For this online two-dimensional number patterns worksheet, students solve eight in-depth two-dimensional number patterns. Students check their answers as they go.
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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...
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eBook
Open Oregon Educational Resources

Hydraulics and Electrical Control of Hydraulic Systems

For Students 10th - Higher Ed Standards
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...
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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...

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