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Students use fundamental counting principle to compute combinations and permutations
Learners define Pascal's triangle and special notations used to represent nth elements. In this geometry lesson, students solve problems using permutations and combinations. They compare the formula for permutation to that of Pascal's...
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Identities and Trigonometric Values
Students solve trigonometric equations. In this precalculus lesson, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different identities.
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Slope of a Function
Seventh graders explore the concept of the slope of a line. They see how to determine the direction of the line. Also students are introduced to the slope intercept algebraic expression in conjunction with the rise/run.
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Juggling Slopes
Students identify the slope of a line. For this algebra lesson, students label slopes as positive, negative, zero or undefined. They use the slope formula to find the slope algebraically and graphically.
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Discovering Pi
Students develop a formula that describes the functional relationship of the circumference of a circle to its diameter. Working with a partner, they measure the diameter and circumference of circular objects in order to discover the...
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Translations and Scale Changes
Pupils perform translation and transformation of functions. In this algebra lesson plan, students write the formula for the different transformation and graph given translation. They compare the change to the parent function.
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Equations and Systems of Equations
Students practice using algebra to be applied to real world situational problems. The key concepts of translation of language to algebraic expressions is covered. They also look in depth at relationships between different quantities.
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Finding Patterns and Graphing Functions
Pupils investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Pupils graph their results and determine if the...
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He Came Out Of Nowhere!
Students calculate the traveled speed and distance of a robot. In this geometry lesson, students use the distance formula to manipulate and use to solve for the required variable. They calculate answers where two variables are...
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Quadratic Equations with Complex Coefficients
Students solve and graph quadratic equations. For this algebra lesson, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
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Pythagorean Theorem
Eighth graders use formulas to solve Pythagorean Theorem problems. They explore the hypotenuse, adjacent angles and legs of a triangle. Given any two integers in a problem, 8th graders identify and complete Pythagorean triples.
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Linear Equations
In this Algebra II activity, 11th graders write the equation of a line given a table, the slope and a point, or two points. The three page activity contains eleven problems. Answers are not provided.
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Approximating Pi
Students approximate Pi using the lower and upper bound for the constant. In this algebra lesson, students work in groups of two to graph a circle and approximate Pi using the circumference. They repeat their estimation until they come...
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An Introduction to Counting
Students define the counting principle and how it relates to integers. In this algebra lesson, students add and subtract using the addition and multiplication principles. They solve problems using combination and permutations.
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Infinite Geometric Series
Eleventh graders investigate infinite geometric series. In this Algebra II activity, 11th graders explore partial sums of geometric series, converging and diverging series, and sums of infinite geometric series. The...
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Kites
Young scholars build a kite while integrating math and science. For this kite building lesson, students construct a blueprint and apply mathematical formulas while constructing a kite. They use appropriate flight and kite terminology to...
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New York State Testing Program Math Release questions grade 8
In this algebra and geometry worksheet, students solve seven varying math problems. This worksheet will help prepare students for standardized tests covering algebra and geometry.
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Theorems About Roots and Polynomial Equations
In this algebra worksheet, students solve polynomial equations using factoring. They identify the roots of the equations. There are 3 questions with an answer key.
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Factoring Trinomials
Students factor trinomials. In this algebra lesson, students use special patterns and formulas to factor. They utilize algebra tiles as a hands-on method for gaining practice with trinomials.
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A Cylinder Workshop
Students work with given formulas to solve for specific variables. The calculation of the volume of a cylinder and the change in volume when there is a constant surface area is analyzed in this lesson.
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Linear Patterns in Data
Eighth graders extend their learning of graphing linear equations and are introduced to connecting patterns in tables and graphs to represent algebraic representations. They then determine patterns and extrapolate information from these...
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Aw Chute!
Students are presented with the problem of constructing a parachute that has the maximum hang time. They construct their own parachute using available materials. Pupils drop their parachutes from a height of two meters and record the...
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Quadratic Equations and Binomial Square Theorem
Students factor quadratic equations. In this algebra lesson, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.
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Need For Speed
Young scholars calculate the distance a car travel using CEEBoT. In this algebra instructional activity, students apply the distance formula to real life scenarios. They use a measuring tape and a formula to measure the distance the...