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The document provides the 100m race times for two classes and asks five questions about analyzing and comparing the results between the classes. It lists the individual times for each student in each class, and gives the answers to the five questions, including: the average time for each class, which class was slower/faster, the range of times for each class, and the mode time for each class.ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† 
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† dsefdtgfgrsdgrdfh
Ìý
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ＜＆＆3002 a more with parrallel lines and anglesupdated 10 22-13
3002 a more with parrallel lines and anglesupdated 10 22-13jbianco9910
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1. If x = 1 and y = 2008, the value of 1/x + 1/y is 105.85.
2. The document provides instructions for homework to be placed on the corner of a desk. It also contains objectives and a two-column proof regarding parallel lines cut by a transversal.
ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† 
ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† dsefdtgfgrsdgrdfh
Ìý
ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† 
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† dsefdtgfgrsdgrdfh
Ìý
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
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ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í†
ì‚¬ì„¤í† í† ì‚¬ì„¤í† í† ï¼œï¼†ï¼†ï¼žâˆƒâ€°âˆ©kid85⊇∬△ ï¼œï¼†ï¼†ï¼žì‚¬ì„¤í† í† ì‚¬ì„¤í† í† Proving quads are parralelograms
Proving quads are parralelogramsjbianco9910
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The document contains notes from a geometry drill on identifying parallelograms and determining values of x and y in parallelogram figures. It lists homework answers and a classwork assignment to identify parallelograms from figures and state the relevant definition or theorem, as well as an assignment to complete 15 problems showing work.Linear approximations and_differentials
Linear approximations and_differentialsTarun Gehlot
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The document discusses linear approximations and differentials. It explains that a linear approximation uses the tangent line at a point to approximate nearby values of a function. The linearization of a function f at a point a is the linear function L(x) = f(a) + f'(a)(x - a). Several examples are provided of finding the linearization of functions and using it to approximate values. Differentials are also introduced, where dy represents the change along the tangent line and ∆y represents the actual change in the function.Math project
Math projectjnguyen20
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1) The document provides steps to find the coordinates of the circumcenter of a triangle with vertices A(-4,0), B(2,6), and C(8,-4).
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- Examples are provided to demonstrate using properties of congruent triangles to find missing angle measures and prove triangles are congruent by showing corresponding parts are equal.
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2. Key concepts covered include using properties of equality to write algebraic proofs, properties of congruence corresponding to properties of equality, and identifying properties of equality and congruence that justify statements.
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The document discusses reflections, translations, and rotations of geometric figures. It provides examples of reflecting a triangle across the x-axis, y-axis, and line y=x. It then discusses identifying reflections and translations from diagrams. Examples are given of translating a figure along a vector in the coordinate plane and rotating a triangle 180 degrees about the origin.Chapter 5 day 2
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The document discusses various bisectors and segments related to triangles, including:
- The perpendicular bisectors and angle bisectors of a triangle are concurrent, intersecting at the circumcenter and incenter respectively.
- A triangle has three medians and three altitudes. The medians intersect at the centroid, while the altitudes intersect at the orthocenter.
- Key properties are discussed, such as the circumcenter theorem relating the circumcenter to triangle vertices, and the incenter theorem relating the incenter to triangle sides.
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The document contains instructions and content for a geometry drill lesson. The objective is for students to discover properties of special parallelograms. The lesson includes definitions and examples of rectangles, rhombi, squares, and parallelograms. Students are asked to identify these shapes in diagrams and list their defining properties. They will also complete problems finding missing side lengths and plotting point coordinates to identify geometric objects.Polygons day 2 2015
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1. The document provides geometry problems involving calculating interior and exterior angle measures of various regular and non-regular polygons. It asks students to find angle sums and individual angle measures for polygons with a specified number of sides.
2. Questions involve calculating interior and exterior angle sums and measures for polygons ranging from pentagons to 15-gons and up to polygons with 30 or 36 sides. Students are asked to determine properties of polygons like the number of sides if the interior angle sum is given.Parralelogram day 1 with answersupdated 
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A parallelogram is a quadrilateral with two pairs of parallel sides. Students were assigned geometry homework to find the values of x and y in figures and provide proof of their answers, placing their homework and pen on the corner of their desk. They were asked to define a parallelogram.Parralelogram day 2 
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The document provides instructions to complete geometry homework problems involving regular polygons, parallelograms, and finding missing angle measures. Students are asked to find: the number of sides of two regular polygons given interior and exterior angle measures; angle measures and that parallelogram EFGH is a parallelogram; angle measures x, y, and z for two parallelograms; and to show work for problems 8 through 10.Chapter 5 review drill
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The document outlines a geometry drill session that reviews special right triangles and chapter 5 material. It provides several problems to find missing sides of right triangles given certain measurements, instructing students to show their work and use formulas. Problems include finding sides of triangles with angles of 30-60-90, 45-45-90, and solving for unknown sides using trigonometric ratios.More Related Content
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1) The document provides steps to find the coordinates of the circumcenter of a triangle with vertices A(-4,0), B(2,6), and C(8,-4).
2) It finds the equations of the perpendicular bisectors of each side by calculating the midpoints and slopes to get the equations.
3) The intersections of the three perpendicular bisectors are calculated to find the circumcenter, which is determined to be (2.5,-0.5).2d 3d animation and Digital services from Vinformax and Creantt
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The document discusses the Minkowski sum, which is an operation that combines two sets in 2D geometry by translating one set along the border of the other. It provides examples of applying the Minkowski sum to polygons and discs. The Minkowski sum has applications in motion planning to determine if a moving object will collide with obstacles. It can be computed for convex polygons by taking every vertex combination, and for general polygons by decomposition or convolution methods.Congruent figures 2013
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The document provides information about congruent triangles:
- Two triangles are congruent if their corresponding sides are congruent and they have the same shape and size.
- Examples are provided to demonstrate using properties of congruent triangles to find missing angle measures and prove triangles are congruent by showing corresponding parts are equal.
- One example proves two triangles are congruent by showing bisectors of angles bisect the opposite sides, making corresponding parts congruent.114333628 irisan-kerucut
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The document discusses properties of parabolas, including their definition as the set of points equidistant from a focus point and directrix line. It presents the standard equation for a parPower series
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A power series is an infinite series of the form Σcixi or Σci(x-a)i, where the cis are constants. It represents a "polynomial" with infinitely many terms that can be used to expand functions. Common power series include the Taylor series expansions of exponential, logarithmic, and other important functions. Power series are very useful for certain mathematical calculations.Deductivereasoning and bicond and algebraic proofs
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1. The document discusses biconditional statements, conditional statements, and using deductive reasoning in geometry. It provides examples of identifying conditionals within biconditionals, writing definitions as biconditionals, and solving equations with justification in both algebra and geometry.
2. Key concepts covered include using properties of equality to write algebraic proofs, properties of congruence corresponding to properties of equality, and identifying properties of equality and congruence that justify statements.
3. Examples are provided of solving equations algebraically and geometrically with justification for each step, identifying conditionals within biconditionals, and writing definitions as biconditionals.Symmetry,rotation, reflection,translation
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The document discusses different types of symmetry including lines of symmetry, reflection, rotation, and translation. It provides examples of these symmetries using shapes like hearts, flags, polygons and math symbols. Regular polygons are noted to have multiple lines of symmetry and there is a pattern to how many lines different regular polygons will have.Local linear approximation
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The document discusses local linear approximations, which provide a linear function that closely approximates a given non-linear function near a specific point. It defines the local linear approximation at a point x0 as f(x0) + f'(x0)(x - x0). Graphs and examples are provided to illustrate how the local linear approximation can be used to estimate function values close to x0. The concept of differentials is also introduced to estimate small changes in a function using its derivative. Examples demonstrate using differentials to approximate changes and estimate errors in computations involving measured values.Transformations of functions
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The document discusses transformations in geometry. It defines a geometric transformation as a bijective mapping between two geometries that maps points to points and lines to lines. Reflections, rotations, and translations are provided as examples of geometric transformations in Euclidean plane geometry. It is shown that reflections, rotations, and translations are isometries that preserve distance, angle measure, and area. The composition of transformations is also discussed, and it is shown that the composition of isometries is again an isometry.2002 more with transformations
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The document discusses reflections, translations, and rotations of geometric figures. It provides examples of reflecting a triangle across the x-axis, y-axis, and line y=x. It then discusses identifying reflections and translations from diagrams. Examples are given of translating a figure along a vector in the coordinate plane and rotating a triangle 180 degrees about the origin.Chapter 5 day 2
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- A triangle has three medians and three altitudes. The medians intersect at the centroid, while the altitudes intersect at the orthocenter.
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The document contains instructions and content for a geometry drill lesson. The objective is for students to discover properties of special parallelograms. The lesson includes definitions and examples of rectangles, rhombi, squares, and parallelograms. Students are asked to identify these shapes in diagrams and list their defining properties. They will also complete problems finding missing side lengths and plotting point coordinates to identify geometric objects.Polygons day 2 2015
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1. The document provides geometry problems involving calculating interior and exterior angle measures of various regular and non-regular polygons. It asks students to find angle sums and individual angle measures for polygons with a specified number of sides.
2. Questions involve calculating interior and exterior angle sums and measures for polygons ranging from pentagons to 15-gons and up to polygons with 30 or 36 sides. Students are asked to determine properties of polygons like the number of sides if the interior angle sum is given.Parralelogram day 1 with answersupdated
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