Willow Tree
Multiplying Polynomials
Make two parts into a whole. Scholars learn to multiply polynomials to create a simplified polynomial expression. Polynomials include monomial, binomials, and trinomials.
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Mathematics Within: Algebraic Processes and Its Connections to Geometry
Fifth graders discover the connections between algebra and geometry. With a focus on arrays and factors, they are introduced to multiplication. They develop an array for multiples of 2 through 10 and identify the factors of each row....
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Mathematics: Prime and Composite Numbers
Sixth graders explore how to apply the commutative property and the rules of divisibility. They examine the difference between prime and composite numbers.
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Prime Numbers and Factors
Students determine factors of numbers to 100 and identify prime factors; students differentiate prime and composite numbers by the factors of the numbers.
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The Case of the Missing Middle Term
Young scholars examine the difference of squares equation, and multiply binomials using the FOIL method. They complete the Case of the Missing Middle Term worksheet.
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the Max And Min of a Capt'n Crunch Box
Students use knowledge of area and volume to explore minimum and maximum. They create models and determine a "best" shape for getting the maximum volume or minimum area.
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Simplifying Square Roots
Discuss the definition for a simplified form for a square root. Middle schoolers analyze different forms of a square root, the Product Property of Square Roots, and complete a worksheet.
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Simplifying Before Multiplying
Learners discover why they should simplify before multiplying fractions. They respond to 12 questions that require them to simplify fractions prior to multiplying them.
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The Attack of the Manhole Monsters
Learners explore the concept of similarity. They examine such topics as ratio of corresponding sides, internal ratios and scaling factors. After watching a video, student groups perform experiments outside the school building.
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Operations with Fractions and Decimals
Complete a lesson plan that introduces and explores operations with fractions and decimals. Pupils estimate the reasonableness of a decimal computation. Then discuss what operation is needed to find an answer. Handouts, web sources, and...
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Finding Prime Factors
In this finding prime factors worksheet, 6th graders read two strategies for finding prime factors, then practice using these methods by doing factor facts drills.
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Completing the Square Lesson Plan
Students investigate the origin of the quadratic function. In this algebra lesson, students analyze solving an equation by completing the square. They compare the early methods as compared to our method for solving quadratics.
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Prime and Composite Numbers with use of manipulatives (Elementary, Mathematics)
Students learn what prime and composite numbers are. They learn how to identify them by working in a group and demonstrating an understanding of one work problem with 100% accuracy using the manipulatives provided.
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Algebra I: A Draining Swimming Pool
Students analyze and develop symbolic representations to describe the amount of water left in a pool being pumped out after a given amount of time, with various pumping rates and initial quantities of water in the pool.
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Four's A Winner
In this factoring worksheet, students focus on factors of four. Students use the given chart to study those numbers which are divisible by four.
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My Son is Naughty
Students find factors of numbers; work systematically; and use logic to explain away certain possible number combinations. They then devise and use problem solving strategies to explore situations mathematically.
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TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, learners explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics and...
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Zeros of a Quadratic Function
Factor quadratic equations by teaching your young scholars how to identify the zeros of the quadratic function. They use the TI to see where the graph will intercept the coordinate plane.
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One Hundred Hungry Ants (Multiplication and Division)
Fourth graders explore factors of numbers from 1 to 50. They gain practice with basic facts and multi-digit multiplication problems. Students practice the commutative property. They discover the link between multiplication and...
PBS
The Housing Crisis: GDP, Housing Bubble, Recession
Secondary pupils examine the housing bubble and the 2008 and global economic crisis. Defining GDP and GDP growth, recession, and bubbles, young economists debate what makes a bubble and how housing can be an economic indicator. Small...
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Euclidean Algorithm
Students are introduced to the concept of a Greatest Common Divisor. They review the number systems. Students are told how the entire field of Number Theory primarily uses the integers. They are told the Fundamental Theorem of Algebra.
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Doing Battle With Radical Equations
Students observe and solve examples of equations involving radicals. They complete a Doing Battle With Radical Equations worksheet and checklist.
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Is Your Square Complete?
Students practice solving quadratic equations using a form called Complete the Square.
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Pascal's Triangle
Students 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.