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Name: Hage Subject: Angle Relationships Plans for week of: 11/03/2014 Monday Performance Objective* NSC Site PD Day Learning Objective*: I can NSC Site PD Day Tuesday Wednesday Thursday Friday 7.M.G.B.05 – Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure I can write and solve an equation to find missing angles. 7.M.G.B.05 – Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure I can write and solve an equation to find missing angles. 7.M.G.B.05 – Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure I can write and solve an equation to find missing angles. 7.M.G.B.05 – Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure I can write and solve an equation to find missing angles. 1) Essential Questions* NSC Site PD Day Vocabulary* NSC Site PD Day Anticipatory Set* Congruent to Objective Active Participation Past Experience Direct Instruction What types of angle relationships are there? How can you tell the difference between them? 2) What are supplementary, complementary, vertical, and adjacent angles? How are they used to find the missing measure of a figure? 3) What are interior angles? How can you find the sum of interior angles of a polygon? Angle, degree, variable, equation, supplementary, complementary, vertical, adjacent, exterior, interior, alternate, right, straight, acute, obtuse, sum of interior angles If you add up all three angles in a triangle, the sum is 180° What types of angle relationships are there? How can you tell the difference between them? 2) What are supplementary, complementary, vertical, and adjacent angles? How are they used to find the missing measure of a figure? 3) What are interior angles? How can you find the sum of interior angles of a polygon? Angle, degree, variable, equation, supplementary, complementary, vertical, adjacent, exterior, interior, alternate, right, straight, acute, obtuse, sum of interior angles In a right triangle, you know that one of the angles is 35°, what are the measures of the other two angles? What types of angle relationships are there? How can you tell the difference between them? 2) What are supplementary, complementary, vertical, and adjacent angles? How are they used to find the missing measure of a figure? 3) What are interior angles? How can you find the sum of interior angles of a polygon? Angle, degree, variable, equation, supplementary, complementary, vertical, adjacent, exterior, interior, alternate, right, straight, acute, obtuse, sum of interior angles What is the formula for the interior angles of a polygon? What types of angle relationships are there? How can you tell the difference between them? 2) What are supplementary, complementary, vertical, and adjacent angles? How are they used to find the missing measure of a figure? 3) What are interior angles? How can you find the sum of interior angles of a polygon? Angle, degree, variable, equation, supplementary, complementary, vertical, adjacent, exterior, interior, alternate, right, straight, acute, obtuse, sum of interior angles Supplementary angles add up to ____________________ Complementary angles add up to __________________ *Introduce notation - “m<2” means “the measure of angle 2” *Find the missing measure in a triangle. *Show an example of a triangle with two known values and an exterior angle: -How can we use what we know to find the measure of the Complete notes if necessary Triangles = 180 Quadrilaterals = 360 Formula: 180(n-2) NSC Site PD Day NSC Site PD Day 1) 1) Discuss finding the measure of interior angles by using the formula. If you are unable to 1) Review definitions with Name: Hage Guided Practice Checking for Understanding* Independent Practice Subject: Angle Relationships NSC Site PD Day NSC Site PD Day NSC Site PD Day Plans for week of: 11/03/2014 - We can write an equation to find the missing interior angle of a triangle. -As long as we know two sides of a triangle, we can call the third one “x” and can write an equation that is set equal to 180 degrees. *Find the missing measure in a quadrilateral -How would you set up the problem differently? - What would the sum be? - How can we figure it out? exterior angle? -We know that triangle has a sum of the interior angles that is equal to 180 – the sum of an angle and an exterior angle are also equal to 180 because they are supplementary and make a straight line On any polygon you can choose a single vertex and draw diagonals that connect each of the other vertices. These diagonals create triangles and each triangle has a sum of 180 degrees. Use the table to discover the sum of the interior angles of a polygon with 5, 6 7, 8, 10, 12 and n sides. Given two intersecting lines, and the measure of one angle, be able to fill in the missing angles and identify the pairs of vertical angles. What pattern do you notice in the table? In the last row of the table you should have developed a formula for finding the sum of the interior angles of a polygon. Use this formula to find the sum of the interior angles of a 20gon. Write a sentence explaining how to find the sum of the interior angles of a polygon. *Show an example of a triangle with two known values and a vertical angle attached to one of the vertices -Use a protractor to find the measure of the vertical angle -students should discover that vertical angles are congruent Discuss the types of angle relationships in a transversal using page 22 of the name that angle activity sheets to discuss the different congruencies. Add an additional line that is parallel to create a transversal. Use Promethean protractor to measure for congruence. Give names to congruent angles. remember the formula you can still use the method that we discussed on Tuesday where you draw the triangles and multiply the number of triangles by 180. Angle Relationships Jeopardy Students will participate in a jeopardy review game in their table groups. examples Vertical angles Corresponding angles Alternate interior angles Alternate exterior angles Supplementary angles Complementary angles Skills to be assessed in Jeopardy include: Angles created with parallel lines and a transversal Interior angles of a polygon Solving for Missing angles Exponent Rules Jeopardy When their team has an answer one person will raise the board in the air. All teams with correct answers will receive points. Points are docked for incorrect answers. Students will use the exponent rules in various types of problems Students will approach the board to solve the review problems provided before taking their assessment JEOPARDY GAME Students will solve for missing values in a various quadrilaterals Students identify the angles that are congruent based on their names. (mathwarehouse.com activity) Given two parallel lines and a transversal with a single angle measure filled in, students will be able to identify the congruent values by name and fill in the measures of the Name: Hage Subject: Angle Relationships Plans for week of: 11/03/2014 missing angles. Closure* Congruent to Objective Active Participation Past Experience Student Summary Assessment Specific Resources NSC Site PD Day NSC Site PD Day NSC Site PD Day Write a sentence explaining how to find the sum of the interior angles of a polygon. Notes and Discovery Worksheet Notes and White Boards Interior angles of a polygon WS http://www.mathwarehouse.co m/geometry/angle/interactivetransveral-angles.php http://flaglerschools.com/sites/ default/files/5.5.pdf FINAL JEOPARDY Assessments will be graded prior to students leaving. They will be informed of their grade and instructed on any mistakes made on an individual basis Jeopardy game – participation and answer document CFA CFA Jeopardy PPT game