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Polygons and Triangles Review and Introduction
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Activator - Match the definitions to their vocabulary term. Then draw 2 of the figures. 1. A triangle with all sides equal 2. A polygon with 3 sides 3. A triangle with two sides equal 4. A polygon with 4 sides 5. A triangle with an angle that is greater than 90 degrees 6. A polygon with 5 sides 7. A triangle with an angle that is less than 90 degrees 8. A polygon with 6 sides 9. A triangle with an angle that is equal to 90 degrees A. Quadrilateral B. Equilateral Triangle C. Pentagon D. Isosceles Triangle E. Right Triangle F. Triangle G. Hexagon H. Obtuse Triangle I. Acute Triangle
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Quadrilaterals
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Pentagons
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Hexagons
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Heptagons
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Octagons
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Choose which set of questions you will answer on your notecard: Set 1 List the different types of polygons we have discussed What is the determining factor of how we organize polygons into groups? Set 2 Compare and Contrast three of the polygons in terms of sides Create a brief diagram showing the similarities and differences in four of the polygons
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Remember Protractors?
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Be careful! Line up your protractor correctly! Don’t start at the “corner” of the protractor! If your angle’s line is too short to accurately identify, use the protractor’s straight edge to increase it. READ the correct numbers! If an angle is obviously acute, stay less than 90 degrees on the number line!
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Choose which set of questions you will answer on the other side of your notecard: Set 1: Describe how you would use a protractor Set 2: Draw an angle and model how you would use a protractor to find the measure
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Going Deeper: Triangles
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Equilateral Triangles Equilateral Triangles have EQUAL angles… This is shown by the dashes through the lines on the sides of the triangle – one dash on each side means they are all equal. If it shows one dash, and another side has two dashes, they are NOT equal!
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Isosceles Triangles Isosceles Triangles have 2 sides equal – see the single dash in two of the sides?
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Scalene Triangles Scalene Triangles have NO sides equal – see the different number of dashes on each side? Another way of showing that NO sides are equal is by showing different numbers of arcs (half- circles) on the three different angles! If there are different numbers of arcs, they are not equal!
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Right Triangles Right Triangles have ONE angle that is EQUAL TO 90 degrees! See the square in the corner angle instead of an arc? That means it is a RIGHT Triangle!
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Acute Triangles Acute triangles have ALL angles that are LESS THAN 90 degrees!
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Obtuse Triangles Obtuse angles have ONE angle that is GREATER THAN 90 degrees!
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Equiangular Triangles Equiangular triangles have ALL ANGLES EQUAL! (Just like the Equilateral triangle has all sides equal!) See the three single arcs
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Your turn! On your graphic organizer, combine what we have discussed today to work out the three problems on the back under “How many angles can you find?” Label each triangle by its sides (Equilateral, Isosceles, Scalene) AND by its angles (Obtuse, Acute, Equiangular) Use a protractor to find the measure of each angle in the triangles
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Preview Add up each angle in Triangle 1 on your graphic organizer – what is the sum? Add up each angle in Triangle 2 on your graphic organizer – what is the sum? Add up each angle in Triangle 3 on your graphic organizer – what is the sum? Write a complete sentence and predict what the sum of the angles of EVERY triangle might equal.
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Ticket Out the Door On your second notecard, draw a triangle – use the protractor to make straight lines! Identify the SIDE classification of your triangle (use the protractor ruler) Identify the ANGLE classification of your triangle using the protractor WRITE YOUR NAME ON THE NOTECARD!!!!
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