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Exit Slips **WarmUps-Use PLAN test warm-ups created by Ronni. Section 1.2 I can statement I can recognize, name, and define points, lines and planes in space. Exit Slip 1. Name three collinear points 2. Name two different planes that contain C and G. 3. Name the intersection of plane AED and plane HEG. 1.3 I can recognize, name, and define skew lines, segments, rays, and parallel planes in space. 1. Name all the segments. 2. Name a segment skew to segment AB. 3. Name a plane that is parallel to plane GFB 1.4 Day 1 I can find the length of a given segment. If DT=60, find the value of x. Then find DS and ST. 1.4 Day 2 I can find the measure of a given angle. What is the mTSW if mRST 40 and mRSW 135 1.5 Day 1 I can construct segments and angles using a variety of tools. Using a ruler, construct a congruent segment to 1.5 Day 2 I can construct a segment bisector and angle bisector using a variety of tools. Using a compass and a straightedge, find the segment bisector of 2.5 Day 1 2.5 Day 2 12.1 12.2 I can identify special angle pairs and apply theorems about those angles (vertical, supplementary, completementary, and adjacent angles). I can apply theorems about special angle pairs (vertical, supplementary, completementary, and adjacent angles). I can reflect geometric figures from a preimage to paper, tracing paper, or geometry software. I can translate geometric figures from a preimage to an image using graph paper, tracing paper, or geometry software. Given the points A(-3,4) B(0,1) C(2,3) a) Find the coordinates after a reflection across the x axis b) Find the coordinates after a reflection across the y axis. Write a rule to describe the top line segment to the bottom line segment. 12.3 I can rotate geometric figures from a preimage to paper, tracing paper, or geometry software. Plot the following points and rotate the figure 90 degrees clockwise. A(-3,2) B(2,0) C(-1, 5) 12.4 I can predict the effect of given rigid motions on a given figure. Each figure is an isometry image of the figure at the left. Tell whether their orientations are the same or opposite. Classify the isometry. Intro Proofs Intro Proofs 3.1 I can identify angles formed by two lines and a transversal. Find the measures of all the missing angles 3.2 I can use the angle relations of a transversal in proving lines are parallel. Which line, if any, is parallel to 3 & 4 ? Explain. 3.3 I can find the sum of the angles of a triangle and classify a triangle by its sides and angles. 1. Find the mBAC 2. Classify the triangle by its sides and angles. 3.3 I can find the measure of a triangle’s exterior angle. 3.4 I can identify convex and concave polygons and find the sum of a polygon’s interior angles. 3.4 I can find the sum of the exterior angles of a polygon. 4.1 I can recognize congruent Find mBDC 1. Determine if the figure is concave or convex, then identify the polygon. 2. Find the sum of the interior angles in a 13-gon. 1. The sum of the exterior angles in a regular pentagon is _________. 2. Find the measures of an interior angle and exterior angle of a regular dodecagon. Given WSY MKV , list all congruent parts. Use three angles to name figures and their corresponding parts. I can prove two triangles congruent using the SSS and SAS postulates. each angle. 4.3/4.6 I can prove two triangles congruent using the ASA postulate , AAS and HL Theorems Complete a two column proof: 4.4 I can use triangle congruence and CPCTC to prove that parts of two triangles are congruent. Use a two column proof to prove the following true: 4.2 4.7 I can prove two overlapping triangles are congruent. 4.5 Day 1 I can apply the properties of isosceles triangles to find an unknown. 4.5 Day 2 I can apply the properties of equilateral triangles to find an unknown. Find the values of x and y. Construct Construct 5.1 5.2 5.3 Day 1 5.3 Day 2 6.2 I can use properties of midsegments to solve for an unknown. I can use the properties of perpendicular bisectors and angle bisectors to solve for an unknown. I can use the properties of medians in a triangle and the definition of centroid to find the lengths of segments. I can use the relationships among sides, angles, diagonals, and transversals to solve for an unknown. D is the centroid of ABC and DE=6. Find DB. Find mE , mF , mG, and mH for the given parallelogram. 6.3 I can determine whether a quadrilateral is a parallelogram. 6.4 Day 1 I can use the properties of diagonals of rhombuses and rectangles. 6.4 Day 2 I can determine whether a parallelogram is a rhombus or a rectangle. 6.5 Day 1 I can determine whether a figure is a trapezoid. 6.5 Day 2 I can determine whether a figure is a kite. 12.7 I can dilate a figure given a scale factor. A dilation has center (0,0). Find the image of each point under the transformation. 8.2 I can determine whether or not two polygons are similar. If they are similar, I can use the scale factor to find missing lengths. Find SR 8.3 I can use AA, SAS, SSS to find lengths of sides in similar triangles. 8.4 I can use similar right triangles and geometric to indirectly calculate distances. 8.5 I can use the Side Splitter Theorem and the Triangle Angle Bisector Theorem to find missing lengths. 9.1/9.2 Day1 I can use sine, cosine, and tangent ratios to determine side lengths of a triangle. Write all the trig ratios for angle B. 9.1/9.2 Day 2 I can use sine, cosine, and tangent ratios to determine side lengths of a triangle. Write a trig ratio and solve for the missing side. Trig ratios Congruent I can use similarity to prove trigonometric ratios are the same for all right triangles. I can relate complementary angles of right triangles using sine and cosine functions. I can use angles of elevation and depression to indirectly measure an object. Trig ratios Comp. 9.3 Day 1 9.3 Day 2 Density Apps 1.7 Day 1 1.7 Day 2 Rotating 10.5 I can use angles of elevation and depression to indirectly measure an object. I can calculate the perimeter and area of a rectangle, square, and triangle. I can calculate the circumference and area of a circle. I can determine the shape of a cross section of an object. I can identify the three dimensional object created by the rotation of a two dimensional object. I can calculate the volume of a prism and cylinder. 10.6 I can calculate the volumes of a pyramid and cone. 10.7 I can calculate the volume of a sphere. 1.6 I can find the distance and midpoint of a segment in the coordinate plane. I can graph a line given its equation. 3.5 Day 1 3.5 Day 2 I can write the equation of a line if I know the slope, intercept, and/or a point. 3.6 Day 1 I can determine whether two lines are parallel or perpendicular. Find the distance and midpoint of XY if the coordinates of X are (8,9) and the coordinates of Y are (-6, -3) Write -6x + 3y = 12 in the slope-intercept form and sketch the graph. What is the relationship between the following lines? x 4y 8 2 x 6 y 16 3.6 Day 2 I can write equations for lines parallel and perpendicular to a given line. 6.6 I can use distance and slope to classify a figure on a coordinate plane. 6.7 I can use the Triangle Midsegment Theorem to find unknown lengths. I can write the equation of a circle. I can find the center and radius of a circle. 11.5 Equations of para. I can find the equation of a parabola given the focus and directrix. Partitioning Segments 5.3 I can identify the angle Day 1 bisectors and use their properties to find an unknown value. 5.3 I can identify the Day 2 perpendicular bisectors and use their properties to find an unknown value. Inscribed Quads Classify the figure by using the slope and distance formulas for the given coordinates. Find the center and radius of a circle with the given equation, then sketch the graph. ( x 4)2 ( y 1)2 25 7.6 I can find the measures of central angles and arcs. 7.7 Day 1 I can find the length of an arc in a circle. 7.7 Day 2 I can find the area of a sector in a circle. 11.1 I can use the relationship between a radius and a tangent(s) to find angle measures and segment lengths. Find the arc length of AB Assume that the lines that appear to be tangent are tangent. O is the center of each circle. Find the value of x. 11.2 I can use congruent chords, arcs, and central angles to find distances in circles. 11.3 Day 1 I can find the measure of an inscribed angle in a circle. 11.3 Day 2 I can find the measure of an angle formed by a tangent and a chord. 11.4 Day 1 I can find the measures of angles formed by chords, secants, and tangents. 11.4 Day 2 11.5 Day 1 11.5 Day 2 Similar Radii/Arc Intro to radians Prob Day 1 I can write the equation of a circle. I can complete the square to write the equation of a circle in standard form. Write the equation of the circle in standard form with radius 8 and center (0,-3) Find the equation of the circle in standard form. I can calculate the sample space. A museum has seven paintings to hang and three vacant locations, each of which will hold one painting. In how many different ways can these three locations be filled by the paintings? Roll a die once. Let A be the event of getting 1,2, 3, or 4. Let B be the event of getting 2, 4, or 6. Find the following probabilities: a) P(A) b) P(B) c) P(A or B) d) P(A and B) One card is drawn at random from a deck of cards. State whether or not the events are mutually exclusive: a) The card is a diamond. The card is a face card. b) The card is the ace of spades. The card is a heart. Prob Day 2 I can use the union and intersections of sets to represent events and to find their probabilities. Prob Day 3 I can calculate the probability of mutually exclusive events. Prob I can calculate the x 2 8x y 2 2 y 19 Past records have shown that the probability a car manufactured at a Day 4 Prob Day 5 probability of an event using its complement. I can calculate the probability of independent and dependent events. particular factory will be defective is 0.14. Find the probability that a car from that factory will not be defective. Calculate the probabilities: a) A die is rolled and a coin is tossed. Find the probability of getting a 6 and heads. b) If P(A)=0.32, find P(~A). A jar contains just four blue marbles and two red marbles. c) If a marble is chosen at random and replaced find P(both marbles are red) d) If a marble is chosen at random and not replaced find P(both marbles are red) Prob Day 6 I can calculate conditional probability. Prob Day 7 I can calculate the probability of an experiment and compare it to its theoretical probability. I can calculate the geometric probability of an area. Prob Day 8 Prob Day 9 Frequency Table? Modeling? I can calculate the expected value for an experiment. The probability that is it Friday and that a student is absent is 0.03. Since there are five school days in a week, the probability that it is Friday is 0.02. What is the probability that a student is absent given that today is Friday? If during an experiment of flipping a coin, you flip 46 tails and 54 heads, what is the experimental probability of flipping heads? Find the probability that a dart thrown at the dartboard will land on the shaded region. Suppose Charley goes to two movies 10% of all weekends, he goes to one movie 40% of the time, and he goes to no movies 50% of the time. What is the expected value for the number of movies he goes to during a weekend?