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Jane Long Academy Lesson Plan Template with Unpacking the Standards 2015-2016 Course: Math 8 Teacher: Carouthers Lesson Plan Week of: 11-1-15 to 11-20-15 MondayTEKS: Ⓢ MATH.8.6A (R) - Readiness Standard (S) -Supporting Standard ELPS (Language Describe the volume formula V = Bh of a cylinder in terms of its base area and its height. Pre-Planning: Unpacking the Standards Objective) MATH.8.6B Model the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas. Tuesday- Wednesday- Thursday- Common Assessment 3 Ⓢ MATH.8.4A Use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values, (y – y )/(x – x ), Wheel of Pythagoras project Ⓢ MATH.8.4A Use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values, (y – y )/(x – x ), 2 Verb(s) - What verbs define the actions students will need 2 1 is the same for any two points (x , y ) and (x , y ) 1 1 2 2 on the same line. Ⓢ MATH.8.8D Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. Expressions, Equations, and Relationships. The student applies mathematical process standards to use geometry to solve problems. The student is expected to: Ⓡ MATH.8.7A Solve problems involving the volume of cylinders, cones, and spheres. Use 1 Use The Wheel of Theodorus is also called the Spiral of Theodorus, the Square Root Spiral, Einstein Spiral, or Pythagorean Spiral. It was first constructed by Theodorus of Cyrene. The smallest triangle is a 11-√2 right triangle. Each right triangle after that is formed by using the hypotenuse of the preceding triangle as a leg of the new triangle, adding a leg of size 1 at right angles to that new leg. In this drawing the largest triangle has a hypotenuse of √17.This makes a great Math Art project for students learning about square roots. credit: Use 2 1 2 Friday- 1 is the same for any two points (x , y ) and (x , y ) 1 1 2 2 on the same line. Ⓢ MATH.8.8D Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. Use Quiz; Spiral TEKS Ⓢ MATH.8.4A Use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in yvalues to the change in xvalues, (y – y )/(x – x ), is 2 1 2 1 the same for any two points (x , y ) and (x , y ) on the 1 1 2 2 same line. Ⓢ MATH.8.8D Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angleangle criterion for similarity of triangles. Use Jane Long Academy Lesson Plan Template with Unpacking the Standards 2015-2016 Course: Math 8 Teacher: Carouthers Lesson Plan Week of: 11-1-15 to 11-20-15 to take? Vocabulary (Academic and Content) Lesson Topic (Content Objective) ELPS (Language Objective) Key Concepts •angle-angle criterion •informal argument •similarity •triangle Academic Vocabulary •congruent •corresponding angles •corresponding sides •indirect measurement •proportional •similar triangles Key Concepts •angle-angle criterion •informal argument •similarity •triangle Academic Vocabulary •congruent •corresponding angles •corresponding sides •indirect measurement •proportional •similar triangles Key Concepts •angle-angle criterion •informal argument •similarity •triangle Academic Vocabulary •congruent •corresponding angles •corresponding sides •indirect measurement •proportional •similar triangles Key Concepts •angle-angle criterion •informal argument •similarity •triangle Academic Vocabulary •congruent •corresponding angles •corresponding sides •indirect measurement •proportional •similar triangles Key Concepts •angle-angle criterion •informal argument •similarity •triangle Academic Vocabulary •congruent •corresponding angles •corresponding sides •indirect measurement •proportional •similar triangles I will be able to Use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values. I will be able to Use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values. I will be able to Use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in yvalues to the change in xvalues. I will be able to Use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values. I will be able to Use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in yvalues to the change in xvalues. I will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. I will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. I will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angleangle criterion for similarity of triangles. I will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. I will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angleangle criterion for similarity of triangles. ELPS C.3e Share information in cooperative learning interactions. ELPS C.3g Express opinions, ideas, and feelings ranging from ELPS C.3e Share information in cooperative learning interactions. ELPS C.3g Express opinions, ideas, and feelings ranging from ELPS C.3e Share information in cooperative learning interactions. ELPS C.3g Express opinions, ideas, and feelings ranging from ELPS C.3e Share information in cooperative learning interactions. ELPS C.3g Express opinions, ideas, and feelings ranging from ELPS C.3e Share information in cooperative learning interactions. ELPS C.3g Express opinions, ideas, and feelings ranging from Jane Long Academy Lesson Plan Template with Unpacking the Standards 2015-2016 Course: Math 8 Teacher: Carouthers communicating single words and short phrases to participating appropriate academic topics. Spiraled TEKS communicating single words and short phrases to participating appropriate academic topics. Explore: Review (min): Explain: Guided Practice (min): Elaborate: Independent Practice (min): Evaluate: Closing ( min.): Technology Connection Testing Technology Connection Technology Connection Technology Connection Common Assessment 3 Review Testing 7-3 “Angle-Angle Similarity,” pp. 207 – 214 Indirect Measurement Unit 11 Word Problem Practice Common Assessment 3 Review Testing 7-3 “Angle-Angle Similarity,” pp. 207 – 214 Indirect Measurement Unit 11 Word Problem Practice Kahn Academy My Hrw Kahn Academy My Hrw Kahn Academy My Hrw Kahn Academy My Hrw Materials/ Resources: Calculators Pencils Texas Go Math HISD Resources Computers Graph paper Journals Testing Kahn Academy My Hrw Calculators Pencils Texas Go Math HISD Resources Computers Graph paper Journals Calculators Pencils Texas Go Math HISD Resources Computers Journals Calculators Pencils Texas Go Math HISD Resources Computers Graph paper Journals Calculators Pencils Texas Go Math HISD Resources Computers Graph paper Journals Technology Connections Determine Similarity by Comparing Angles – A lesson on determining similarity by comparing triangles with congruent angles Angle-Angle Similarity – A lesson on angle-angle similarity criterion Indirect Measurement Using Similar Triangles – An explanation of how to use the properties of similar triangles to determine missing measurements Similar Triangles by AA – A YouTube video on angle-angle similarity Using Similar Triangles to Make Indirect Measurements – A video tutorial on determining indirect measurements from similar triangles Spiral TEKS Homework Spiral TEKS Homework Spiral TEKS Homework Spiral TEKS Homework Spiral TEKS Homework Lesson Cycle Engage: Warm-Up/Opening (min) Reinforcement Lesson Plan Week of: 11-1-15 to 11-20-15 Homework Spiraled TEKS communicating single words and short phrases to participating appropriate academic topics. Spiraled TEKS communicating single words and short phrases to participating appropriate academic topics. Spiraled TEKS communicating single words and short phrases to participating appropriate academic topics. Spiraled TEKS Jane Long Academy Lesson Plan Template with Unpacking the Standards 2015-2016 Course: Math 8 Teacher: Carouthers Lesson Plan Week of: 11-1-15 to 11-20-15 *All lesson plans are subject to revisions and addendums by teacher. *This lesson plan is designed to be a guide the teacher can use to engage in thoughtful planning of each lesson, to better integrate vertical alignment opportunities, and to ensure high order thinking opportunities throughout instructional timeframes.