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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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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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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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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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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...
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What's Its Slope
Students identify the slope of a lines.In this algebra lesson, students define the meaning of slope and write an equation given the slope. They graph linear functions using the slope and y-intercept.
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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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Tower of Hanoi Lesson Plan
Young scholars investigate the Legend of the Tower of Hanoi and complete mathematical problems related to the legend. They play the Tower of Hanoi game online in order to discover the number pattern involved. They solve problems using...
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Pooling Around
Students complete a unit of lessons on computing area and volume. They play a Jeopardy game of basic area formulas, calculate surface area of shapes, develop a Powerpoint presentation, and conduct a simulation of finding the surface area...
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Permutations with Repetition
In this algebra worksheet, students solve problems using permutations. They calculate the correct repetition using the formula for permutation. There are 2 questions with an answer key.
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Minimum and Maximum of a Graph
Students find the solutions of polynomials through graphing. In this algebra lesson, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
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Transformations and Translation of Functions
Students translate functions horizontally and vertically. In this algebra lesson, students identify the parts of the formula that allows the graph to move left, right, up and down. They perform a transformation on the coordinate plane.
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Patterns and Functions
Students investigate patterns and functions. In this algebra lesson, students examine the repetition of integers and objects. They create formulas for the repetition and identify them as function using equations.
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Squaring Function of Natural Numbers
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. For this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...
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Forces in a Climb
Students use a NASA website to use a given formula to find acceleration and distance after a specific time and how it relates to engine propulsion.
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Not Everything is More Expensive
Students explore percent increases and decreases. They calculate the percent increase and decrease. Students use math to solve problems and communicate. They apply the given formula for percent increase/decrease.
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The Probability Project
Students work together to complete a project on probability. In groups, they solve probability equations based on the formula and scenerio given to them in a PowerPoint presentation. To end the lesson, they take a quiz on each problem...
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Quadratics Equations
In this algebra worksheet, students define the equations and discuss how many and what kinds of roots there will be. There are 6 questions dealing with roots, complex numbers and quadratics.
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Geography: Lengths, Perimeter, and Area of Similar Objects
Sixth graders explore characteristics of similar objects. Using attribute blocks, they explore the ratios of the perimeter, area and side length in similar shapes. They calculate and compare the area of shapes.
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Patterns, Relations, and Functions
Young scholars investigate the patterns of different data sets of numbers. They use critical thinking skills in order to find the missing numbers in any given set. This lesson helps to develop the skill of number sense.
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The Expenditure Sheet
Students differentiate between expenditure and income. In this algebra lesson, students create a spreadsheet labeling the date, item and amount as they track their expenses. They format the cells of the spreadsheet to do all the...
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Conjectures and Conclusions
Students draw conclusions and make conjectures given a specific scenario. In this geometry lesson, students model real life scenarios using properties of triangles. They model number facts and explain why the outcome is what it is.