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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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PPT
Curated OER

Alice in Fractalland

For Teachers 4th - 8th Standards
Take your class on a field trip to Fractalland where they'll learn all about number and shape patterns. Based on Disney's movie Alice in Wonderland, this resource takes young mathematicians on an adventure as they explore patterns in...
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Lesson Plan
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Texas Instruments

Exploring the Binomial Theorem

For Teachers 9th - 12th Standards
A comprehensive instructional activity 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...
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Assessment
EngageNY

Mid-Module 3 Assessment Task

For Teachers 11th - 12th Standards
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....
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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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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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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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Interactive
CK-12 Foundation

Pascal's Triangle: Pyramid Blocks

For Students 9th - 12th Standards
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...
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Worksheet
Mathwire

Shamrock Paths

For Students 7th - 10th Standards
What could St. Patrick's Day and Pascal's triangle possibly have in common? Trace the pattern in a holiday-themed instructional activity that prompts learners to find the word shamrock as many times as they can.
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Assessment
1
1
Balanced Assessment

Local and Global Behavior

For Students 11th - 12th Standards
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 the...
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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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Unit Plan
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Mathematics Vision Project

Module 3: Polynomial Functions

For Students 9th - 12th Standards
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 
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Worksheet
Curated OER

Two-dimensional Number Patterns

For Students 6th - 7th
In this online two-dimensional number patterns activity, learners solve eight in-depth two-dimensional number patterns. Students check their answers as they go.
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Lesson Plan
Curated OER

Practice: Binomial Expansions

For Teachers 10th - 12th
Practice applying the binomial theorem on this worksheet. It contains five multiple choice and five free response problems. The solutions are provided.
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Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 7th - 11th
Students explore the concept of Pascal's Triangle. For 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...
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Lesson Plan
Curated OER

Regents Exam - Powers: Binomial Expansions

For Teachers 9th - 12th
In this binomial expansions worksheet, high schoolers solve 8 multiple choice and short answer questions.  Students find a specific term in a given binomial expansion.
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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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Lesson Plan
Curated OER

Binomial Expansion

For Teachers 11th - Higher Ed
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....
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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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Lesson Plan
Curated OER

Number Patterns in Pascal's Triangle

For Teachers 9th - 12th
Students reproduce the first eleven rows of Pascal's Triangle by recalling number patterns. For this math lesson, students are given a series of patterns to work with in order to reproduce Pascal's Triangle. Students are able recognize...
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Worksheet
Curated OER

Pascal's Triangle

For Students 9th - 12th
For 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

nCr: Combinations

For Students 9th - 12th
In this probability worksheet, high schoolers utilize factorials or Pascal's Triangle to calculate the combination given in the form of nCr. There are 4 questions.
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Worksheet
Curated OER

Easy Worksheet: Pascal's Triangle

For Students 9th - 12th
In this Pascal's Triangle activity, students solve 4 short answer problems. Students shade multiples of a given number on Pascal's Triangle. Students shade rows of Pascal's Triangle using mod eight and mod three.
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Lesson Plan
Curated OER

Investigation-Pattern/Functions

For Teachers 6th - 8th
Students 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 pattern....