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Pm lab solutions

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Projectile motion lab Name __________________________________ Part 1 Measure height from floor to barrel Fire dart gun horizontally from table Measure distance it travels in meters Initial height of barrel __________________ meters Trial 1 Trial 2 Trial 3 Average Distance traveled Find the initial velocity of the projectile using the average value. Show work in the space provided. Initial velocity_____________ Part 2 Place your arm at an angle on the desk Measure the height from the floor to barrel Fire dart gun from table keep your arm very still at the same angle Measure distance it travels in meters Measure x and y values of the angle you make Initial height of barrel __________________ meters X ________meters Y ________meters

Geometry TN 2018 2019 Curriculum Map Q1

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Curriculum and Instruction ? Mathematics Quarter 1 Geometry Mathematics Geometry: Year at a Glance 2018 - 2019 Aug. 6 ? Oct. 5 Oct. 16 - Dec. 19 Jan. 7 ? Mar. 8 Mar. 18 ? May 24 TN Ready Testing Apr. 22 - May23 Tools of Geometry, Reasoning and Proof, Transformations and Congruence, Transformations and Symmetry, Lines and Angles Triangle Congruence with Applications, Properties of Triangles, Special Segments in Triangles, Properties of Quadrilaterals with Coordinate Proofs Similarity and Transformations, Using Similar Triangles, Trigonometry with Right Triangles, Trigonometry with All

Lesson 3 Precalculus Online

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Lesson 3: Trigonometric Functions Topic 3: Reference Angles Examples : Find the reference angle for each angle. 1. Find the reference angle for 218?. Find the positive acute angle made by the terminal side of the angle and the x-axis: The reference angle for 218? is 218? - 180? = 38? 2. Find the reference angle for 1387 ? First find a coterminal angle between 0? and 360?. Divide 1387 by 360 to get a quotient of about 3.9. So subtract 360 three times. 1387? ? 3(360? ) = 307?. The reference angle for 307 ? is 360? ? 307? = 53? 360? ? 307? = 53? 3. Find the reference angle for -237? Find a coterminal positive angle by adding 360?: -237? + 360? = 123? The reference angle for 123? is 180? - 123? = 57?. 180 ? ? 123 ? = 57 ? 180? ? 123? = 57? Practice

Trig cheat sheet

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? 2005 Paul Dawkins Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that 0 2 pq< < or 0 90q? < < ? . oppositesin hypotenuseq = hypotenusecsc oppositeq = adjacentcos hypotenuseq = hypotenusesec adjacentq = oppositetan adjacentq = adjacentcot oppositeq = Unit circle definition For this definition q is any angle. sin 1 y yq = = 1csc yq = cos 1 x xq = = 1sec xq = tan yxq = cot x yq = Facts and Properties Domain The domain is all the values of q that can be plugged into the function. sinq , q can be any angle cosq , q can be any angle tanq , 1 , 0, 1, 2,2n nq p ? ?? + = ? ?? ?? ? K

Geometry for Enjoyment and Challenge Notes 5.3

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Congruent Angles in Parallel Lines Alternate interior angles congruent -> Parallel lines yields alternate interior angles congruent Alternate exterior angles congruent -> Parallel lines yields alternate exterior angles congruent Corresponding angles -> Parallel lines yields corresponding angles congruent Consecutive interior angles supplementary -> Parallel lines yields consecutive interior supplementary Consecutive exterior angles supplementary -> Parallel lines yields consecutive exterior supplementary Ex. 1 ________________/__________________ Solve for X / 3x + 5 / / 2x + 10 / _____________/_____________________ Answer: 3x+5=2x+10 => x=5

Geometry for Enjoyment and Challenge Notes 5.3

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Congruent Angles in Parallel Lines Alternate interior angles congruent -> Parallel lines yields alternate interior angles congruent Alternate exterior angles congruent -> Parallel lines yields alternate exterior angles congruent Corresponding angles -> Parallel lines yields corresponding angles congruent Consecutive interior angles supplementary -> Parallel lines yields consecutive interior supplementary Consecutive exterior angles supplementary -> Parallel lines yields consecutive exterior supplementary Ex. 1 ________________/__________________ Solve for X / 3x + 5 / / 2x + 10 / _____________/_____________________ Answer: 3x+5=2x+10 => x=5

Square Properties

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The perimeter of a square: To find the perimeter of a square, just add up all the lengths of the sides: The area of a square: To find the area of a square, multiply the lengths of two sides together... Another way to say this is to say "square the length of a side!" Get it? Square! The sides and angles of a square: The sides of a square are all congruent (the same length.) The angles of a square are all congruent (the same size and measure.) Remember that a 90 degree angle is called a "right angle." So, a square has four right angles. Opposite angles of a square are congruent. Opposite sides of a square are congruent. Opposite sides of a square are parallel. The diagonal of a square:

Trigonometry Reference Chart

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The unit circle is a commonly used tool in trigonometry because it helps the user to remember the special angles and their trigonometric functions. The unit circle is a circle drawn with its center at the origin of a graph(0,0), and with a radius of 1. All angles are measured starting from the x-axis in quadrant one and may go around the unit circle any number of degrees. Points on the outside of the circle that are in line with the terminal (ending) sides of the angles are very useful to know, as they give the trigonometric function of the angle through their coordinants. The format is (cos, sin). Note that in trigonometry, an angle can be of any size, positive or negative. An angle larger than 360º means that you have gone round the circle more than once.

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