Glynn Middle School LFS Weekly Lesson Plan Teacher: Davis Subject: 8th grade math Dates: Jan 8- 10 , 2014 Unit Topic: Pythagorean theorem Standard(s): GPS/CCGPS Understand and apply the Pythagorean Theorem. MCC8.G.6 Explain a proof of the Pythagorean Theorem and its converse. MCC8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. MCC8.G.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. Solve real‐world and mathematical problems involving volume of cylinders, cones, and spheres. MCC8.G.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems. Work with radicals and integer exponents. 2 3 MCC8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x = p and x = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cubed roots of small perfect cubes. Know that √2 is irrational. RELATED STANDARDS MCC8.EE.7 Solve linear equations in one variable. a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. b. Solve linear equations with rational number coefficients. Prior to teaching: Perfect Squares 1-25, Solving equations EQ tied to the standard: How do I apply the Pythagorean Theorem to real-world mathematical problems? Activating Strategy Vocabulary List provided , Terms reviewed daily, choral response with illustrations Teaching Strategies: hands-on activities Summarizing Strategy: Choral Response and written summaries Standards for Mathematical Practice 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively. 3 Construct viable arguments and critique the reasoning of others. Glynn Middle School LFS Weekly Lesson Plan 4 Model with mathematics. 5 Use appropriate tools strategically. 6 Attend to precision. 7 Look for and make use of structure. 8 Look for and express regularity in repeated reasoning. Monday Essential Question Teacher Planning day Tuesday How can I use the Pythagorean Theorem to solve problems? Activating/Acceleration: Wednesday Thursday Friday How can I prove the Pythagorean Theorem and its converse? How can I prove the Pythagorean Theorem and its converse? How can I use the Pythagorean Theorem to solve problems? (Some ideas: KWL, Pre-reading, Think Pair Share, Thinking Maps, Vocabulary Overview, Word Splash, Survey, Big Four) Use the graphic Work problems out as organizer to help with practice for the the solving of the Pythagorean theorem. missing length of a right triangle Cognitive Teaching Strategies: include time for distributed practice or summarizing Review Square Roots and estimating perfect squares What is a Right Triangle? (Some ideas: Lecture/Question, Read/Discuss, TIMS, Hands on Activity, Thinking Map, Pictograph, Research, Vocabulary, Diagrams/Graphs, Comprehension) Build squares on the sides of right triangles to prove the theorem Build squares on the sides of right triangles to prove the theorem Notes and Formulas for the Pythagorean Theorem and the relationships with unknown lengths Summarizing Strategies: (Some ideas: Ticket Out the Door, 3-2-1, The Important Thing, One Word, Learning Logs) How do rational and How do rational and Which side of the right irrational numbers irrational numbers triangle is always the Glynn Middle School LFS Weekly Lesson Plan relate to the relate to the longest side Pythagorean Theorem Pythagorean Theorem Extending/Refining Activity: This is for all students. After they acquire, then take them up a notch with thinking skills/writing prompts. (Some ideas: Cause/Effect, Compare/Contrast, Write, Classify, Analyze, Evaluate, Inductive, Deductive) How do I find the length of a diagonal of a rectangle? How do I find the length of a diagonal of a rectangle? Discuss and identify Pythagorean Theorem Triples Assignment and/or Assessment: A variety of informal, performance, constructed response, selected response WB 144-148 WB 144-148 WB 139-143 KUTA Pythagorean KUTA Pythagorean Kuta Pythagorean and its converse and its converse Differentiation: Notes Notes Hands-On ActivitiesHands-On Activities Manipulatives Manipulatives Smart Board Smart Board White Boards White Boards Peer Partners Peer Partners Accommodations: (Sped, 504, SST) Notes Hands-On Activities-D Manipulatives Smart Board White Boards Peer Partners Notes Hands-On Activities Manipulatives Smart Board White Boards Peer Partners-D Notes Hands-On Activities Manipulatives Smart Board White Boards Peer Partners Brain pop Pythagorean theorem