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Fun with Angles and Polygons A unit for learning about geometry Ms. Collette Robitaille Introduction to Geometry • • • • • • Unit 1: Angles (2 days) Unit 2: Triangles (2 days) Unit 3: Quadrilaterals (2 days) Geometry Webquest (5 days) Review Activities (3 days) Test (1 day) *This is a 3 week unit of instruction. Unit One: Exploring Angles Can you name the following angles? obtuse acute right straight Click on the angle to reveal its name. Angle Information • Acute Angles – measure less than 90º • Right Angles – measure exactly 90º • Obtuse Angles – measure more than 90º but less than 180º • Straight Angles – measure exactly 180º • Can you think of a way to remember the names for each angle? Angles Task Activity • For this activity, you will be paired up with a partner to visit the following website. • After clicking below, skip the intro and click on the Make the Angle Game. • You and your partner must make 10 angles and record them on a sheet of paper. • Once you have recorded 10 angles, tell what type of angle it is. http://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html Unit One: Angles Quick Check Question #1 An acute angle is greater than 90º. A. True B. False Unit One: Angles OOPS!!!!! Remember an acute angle is a cute little angle. Try Again Unit One: Angles Congratulations!!!!! An acute angle is less than 90º. Unit One: Angles Quick Check Question #2 An obtuse angle is greater than 90º but less than 180º. A. True B. False Unit One: Angles Quick Check OOPS!!!!! Better check again. Obtuse angles are almost right and not quite straight. Try Again Unit One: Angles Quick Check Congratulations!!!! An obtuse angle is between 90ºand 180º. Unit One: Angles Quick Check Question # 3 A straight angle measures 180º. A. True B. False Unit One: Angles Quick Check OOPS!!!!! Remember. A straight angle looks like a straight line. Try Again Unit One: Angles Quick Check Congratulations!!!! A straight angle measures 180º and looks like a straight line. Unit One: Angles Quick Check Question #4 A right angle does not measure 90º. A. True B. False Unit One: Angles Quick Check OOPS!!!!! A right angle looks like the corner of a piece of paper. Try Again Unit One: Angles Quick Check Congratulations!!!! A right angle does measure exactly 90º. Unit Two : Triangles Can you identify theses triangles by their angles? Right acute obtuse Click on the angle to check your answer. Unit Two: Triangles • Right Triangles - have exactly one right angle. • Acute Triangles – all angles are less than 90º. • Obtuse Triangles - have exactly one angle greater than 90º. Unit Two: Triangles Can you identify these triangles by their sides? isosceles scalene equilateral Click on the triangle to check your answer. Unit Two: Triangles • Isosceles Triangles - two sides are of equal length • Scalene Triangles - no sides are equal in length • Equilateral Triangles - all sides are of equal length Triangles Task • For this task, you and your partner, must complete the activity on the webpage listed below. Review the triangles and then click Triangles Quiz. Write your answers on a sheet of paper. Triangles Review Unit Three: Quadrilaterals Can you identify the following quadrilaterals? parallelogram rectangle square rhombus trapezoid Click on the quadrilateral to check your answer. Unit Three: Quadrilaterals • Parallelograms - 4-sided figure, opposite sides are parallel and congruent • Rectangle – 4 sided figure with 4 right angles and opposite side congruent • Square – 4 sided figure with 4 right angles and 4 congruent sides • Rhombus – 4 sided figure, all sides are congruent • Trapezoid – 4 sided figure with one pair of parallel lines Quadrilaterals Task • For this task, you and your partner should visit the following website. • Using the virtual geoboard you and your partner will need to construct each of the five quadrilaterals we have discussed. • To complete the assignment, on a sheet of paper, tell how many geobands were needed to create each quadrilateral. http://matti.usu.edu/nlvm/nav/frames_asid_129_g_3_t_3.html Unit Three: Quadrilaterals Quick Check Question #1 A rectangle is a four sided figure with 4 congruent sides. A. B. True False Unit Three: Quadrilaterals OOPS!!!!!!!! Think about it. A rectangle looks like a long box. Try Again Unit Three: Quadrilaterals Great!!!!!!!!! You remembered that a rectangle has 2 parallel sides, 4 right angles, and opposite sides are congruent. Unit Three: Quadrilaterals Quick Check Question #2 A rhombus has four congruent sides. A. B. True False Unit Three: Quadrilaterals OOPS!!!!!!!! Remember that a rhombus looks like a kite or a diamond. Try Again Unit Three: Quadrilaterals HOORAY!!!!!! You remembered that a rhombus looks like an italic square and all 4 sides are congruent. Unit Three: Quadrilaterals Quick Check Question #3 A square is a quadrilateral with only two right angles. A. B. True False Unit Three: Quadrilaterals OOPS!!!!!!!!! A square has all sides congruent and all angles congruent. Try Again Unit Three: Quadrilaterals Nice Job!!!!!!! You knew that a square has four equal sides and four equal angles. Unit Three: Quadrilaterals Quick Check Question #4 A trapezoid is a four sided figure with one set of parallel sides. A. B. True False Unit Three: Quadrilaterals OOPS!!!!!! Think of the tables in a classroom. It looks like a triangle without the top. Try Again Unit Three: Quadrilaterals AWESOME!!!!!!! A trapezoid has exactly one set of parallel sides. Unit Three: Quadrilaterals Quick Check Question #5 A parallelogram has two sides that are parallel and opposite angles are congruent. A. B. True False Unit Three: Quadrilaterals OOPS!!!!!! Remember that a parallelogram looks like an italic rectangle. Try Again Unit Three: Quadrilaterals Nice Work!!!!! A parallelogram is a 4 sided figure with opposite sides parallel and opposite angles congruent. Unit Four: Geometry Web Quest Unit Four: Geometry Web Quest • For this part of the unit I would like for you and your partner to explore geometry using the internet. • There are two web quests listed below. • Follow the directions for each and turn in your completed project. Have fun!!! Web Quest #1 Web Quest #2 Unit Review • Go back through the slide show to complete the review sheet given to you. • Remember to look at the quizzes for possible answers. • Enjoy your time using the interactive unit • Test tomorrow on our Introduction to Geometry.