Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Steinitz's theorem wikipedia , lookup
Rational trigonometry wikipedia , lookup
Multilateration wikipedia , lookup
Four color theorem wikipedia , lookup
Trigonometric functions wikipedia , lookup
History of trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Euclidean geometry wikipedia , lookup
Grade 2 Lesson: 12.3 Reference to English Polygons and Angles Math Standard(s): 2.G.1 Domain: Geometry Content objective(s): Language Objective(s): Students will identify and draw polygons (triangles, Students will say the shapes and the number of sides, angles and quadrilaterals, pentagons, and hexagons) and list their vertices each has. attributes. I can name the shapes and say the number of sides, angles and I can identify and draw polygons (triangles, quadrilaterals, vertices each has. pentagons, and hexagons) and list their attributes. Essential Understanding: Required Academic Vocabulary for Word Wall: A shape can be identified by the number of its sides, vertices, or Listen: angle, side, quadrilateral, pentagon, hexagon angles. Read: quadrilateral, pentagon, hexagon Write: quadrilateral, pentagon, hexagon Speak: sides, angles, vertices, quadrilateral, pentagon, hexagon Sentence Frame: Materials: Additional Lesson Vocabulary: Whiteboards, erasers, markers Straws Pipe cleaners Guided and Independent Practice page 390-391 Lesson: Instructional Time: Opening: (4 minutes) T: “You have learned that the faces of some solid figures are plane shapes with 3 or more sides. They are also known as polygons.” Write polygon on the board with plane shapes drawn under it. T: “Today, you will learn more about polygons and their attributes.” Thread a pipe cleaner through two straws. T: “Let’s pretend that these are two sides of a polygon. I am going to connect them by twisting the ends of the pipe cleaner together.” T: “Then I will bend it to form a vertex.” T: “Thumbs up or down, do I have a polygon with these two sides?” S: thumbs down. T: “Two sides together do not make a polygon. If I add another side, do you think I can make a polygon? Whisper what you think to your neighbor and keep it a secret.” S: “it will make a polygon.” Add another straw and pipe cleaner to the first 2. T: “I have connected all three sides, do I have a polygon?” S: “yes.” T: “Were you right, if we have three sides connected can we make a polygon?” S: “yes.” T: “Tell your neighbor the shape it makes.” S: “a triangle.” Introduction to New Material (Direct Instruction): (7 minutes) T: “Let’s describe the attributes of the is triangle. I will trace it on the board.” T: “This triangle has how many sides?” S: “three sides.” T: “Let’s count them together. 1, 2, 3 sides. I will write sides on the board and put a 3 under it.” Start drawing a table with the shape on the left (drawn), and then columns for sides, angles and vertices. T: “So a triangle has 3 sides, how many angles does it have? Tell you neighbor.” S: “3 angles.” T: “Let’s count them together. 1, 2, 3 angles. I will write angles on the board and put a 3 under it.” T: “Lastly, show me with your fingers how many vertices are in this triangle.” S: will show 3 fingers. T: “Yes, there are 3 vertices. Let’s count them together, 1,2,3 vertices. I will write vertices on the board and put a 3 under it.” T: “Question, why is this a triangle? Tell your neighbor.” S: “it is a triangle because it has 3 sides, 3 angles and 3 vertices.” T: S: T: S: T: S: T: “Why is it a triangle?” “because it has 3 sides, 3 angles and 3 vertices.” “Do all triangles look the same?” “no” “How are all triangles similar?” “they all have 3 sides, 3 angles and 3 vertices.” “Yes they do!” Guided Practice: (5 minutes) Use the modeling cycle: Teacher Does: T: “Now I am going to pass out your whiteboards, markers and erasers.” Pass out the whiteboards, markers and erasers. T: “You and your partner need to figure out how many sides each of the polygons I draw on the board have.” Draw a quadrilateral, pentagon and hexagon. T: “We have a quadrilateral, a pentagon and a hexagon drawn on the board. I need you to draw 3 horizontal lines across your board.” T: “Now I need you to draw the quadrilateral in the first box. You and your partner need to write the number of sides, angles and vertices.” All Students Do: S: will draw a quadrilateral and write the number of sides, angles and vertices. T: “Show me your boards.” T: “Now turn to your partner and tell them how many sides, angles and vertices the quadrilateral has.” S: “it has 4 sides, 4 angles and 4 vertices.” T: “The quadrilateral has (say it with me), 4 sides, 4 angles and 4 vertices.” T: “Now, do the pentagon with your partner in the second box.” Continue the activity with the pentagon and hexagon. T: “Alright, white off your whiteboards, put them away and go to your desk.” Independent Practice: (4 minutes) T: “I am going to pass out guided and independent practice sheets 390 and 391. Let’s do the first one together.” T: “You need to match the shapes with the names. All the shapes are written on the board with pictures, find them and they will help you.” Teacher will walk around and help students as needed. S: will answer problem 1 T: “For problems 2 and 3 you need to write down the number of sides, vertices and angles. Then the shape name.” S: will answer problems 2-3. T: “Problem 4 you will match the shapes with its name again.” S: will answer problem 4. T: “Problems 5 and 6 you need to write draw the shape that is written and then write down the number of sides, vertices and angles.” S: will solve problems 5-6 T: “Alright, please turn in your papers and come sit on the carpet.” Closing: (4 minutes) Draw the shapes on the board. T: “Let’s do a quick review. What shapes is this?” S: will respond. T: “How many sides does it have?” S: will respond. T: “How many vertices does it have?” S: will respond. T: “How many angles does it have?” S: will respond. Go through all shapes learned and reviewed today. Assessment: Guided and Independent Practice page 390-391.