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Name: Math Unit 3, 5th grade KUD Unit: Geometry Explorations – Oct 20-Nov. 20, 2010 U.E.Q. How can I compare properties of basic figures? Which standards/anchors are students learning in this unit? M5.A.1.2; M5.C.1.1; M5.C.1.2; M5.C.2.1 By the end of this unit, students will be able to….. Know: I Understand THAT: *types of angles *place value to billion *subtraction of whole numbers and decimals *types of triangles and properties *properties of polygons * relationships between angle measures *tessellations *Types of charts Do: *determine angle measures *identify place value to billions * an angle determines the properties of polygons *Charts help organize data * Compare place value *compare properties of polygons *draw tessellations Key vocabulary *read a chart acute angle adjacent congruent diameter *identify types of angles equilateral triangle obtuse angle radius right angle tessellation vertical (opposite) angles * use and review statistical landmarks *draw types of triangles Lesson 1 – Data Collection and Organization 3.1, 3.2 Unit Essential Question: How can I compare properties of basic figures? UEQ Answer: An angle determines the properties of polygons and helps me know if the shapes are similar or different. Lesson Essential Question: Why is it important to collect data? Answer: Collecting data gives me a more accurate amount of information. What do students need to learn to be able to answer the Essential Question? Assessment Prompt #1: Why does the US take a census? Assessment Prompt #2: Why do we need to know past populations? Assessment Prompt #3: Data interpretation from a chart? Activating Strategy: Have the students complete the sample of the US Census Questions. -----------------------------------------------------------------------------------------------------------Key vocabulary to preview: census Teaching Strategies: active instruction, pair/share, journal work, think/ink Graphic Organizer: Vocabulary Chart -----------------------------------------------------------------------------------------------------------Instruction: Do activating strategy and then ask AP#1 AP #1: Why does the US take a census? Have students begin to fill out student learning map with LEQ question. Continue using your teacher’s guide and student journal pages 60-65. for lesson 3.1-3.2 AP #2: Why do we need to know past populations? Go over data interpretation Math journal pages Summarizing Strategy: Answer LEQ Lesson 2 – Exploring Angle Measures 3.3, Unit Essential Question: How can I compare properties of basic figures? Lesson Essential Question: How can I determine angle measures? Answer: I can determine angle measures by using all the angles in a shape or knowing the measure of a complete circle or straight angle. What do students need to learn to be able to answer the Essential Question? Assessment Prompt #1: demonstrate types of angles using one arm Assessment Prompt #2: draw 3 types of angles Assessment Prompt #3: try to find types of angles without protractor Activating Strategy: Math Message -----------------------------------------------------------------------------------------------------------Key vocabulary to preview: acute, obtuse, right, straight, and reflex angle, geometry template, vertical and adjacent angles Teaching Strategies: active instruction, pair/share, journal work Graphic Organizer: Vocabulary Chart -----------------------------------------------------------------------------------------------------------Instruction: Begin the class by doing math message and then discuss using think/pair/share. AP #1 – demonstrate right, acute, obtuse and straight angles using students arm. Continue using your teacher’s guide and student journal pages 66-67 for lesson 3.3 AP #2: draw 3 types of angles Have the students review their graphic organizer and make sure they complete them. Continue with lesson AP#3: try to find types of angles without protractor Summarizing Strategy: Answer the LEQ Lesson 3 – Using a Protractor 3.4, 3.5 Unit Essential Question: How can I compare properties of basic figures? Lesson Essential Question: How do I use a protractor to measure angles? Answer: line up the center of the protractor with the vertex and the edge with the bottom line and find the number the opposite line runs through based on if it is acute or obtuse. What do students need to learn to be able to answer the Essential Question? Assessment Prompt #1: Identify types of protractors Assessment Prompt #2: Measure angles using protractor Assessment Prompt #3: solve for radius when given a diameter Activating Strategy: Math Message -----------------------------------------------------------------------------------------------------------Key vocabulary to preview: diameter, radius, protractor, compass Teaching Strategies: active instruction, pair/share, journal work Graphic Organizer: Vocabulary Chart -----------------------------------------------------------------------------------------------------------Instruction: Begin the class by doing math message and then discuss using think/pair/share. AP #1 – Identify types of protractors Continue using your teacher’s guide and student journal pages 68-71 for lesson 3.4 AP #2: Measure angles using protractor Continue with lesson 3.5 pages 72-74. Have the students review their graphic organizer and make sure they complete them. AP#3: solve for radius when given a diameter Summarizing Strategy: Answer the LEQ Lesson 4 – Properties of polygons 3.6, 3.7, 3.8 Unit Essential Question: How can I compare properties of basic figures? Lesson Essential Question: How can I determine the name of a polygon? Answer: The properties or characteristics of a polygon tell me which polygon it is. What do students need to learn to be able to answer the Essential Question? Assessment Prompt #1: identify 3 types of triangles Assessment Prompt #2: How do I know a triangle is congruent Assessment Prompt #3: Choose a polygon and list 2 of its properties AP#4 – How do I know a polygon will tessellate? Activating Strategy: Math Message -----------------------------------------------------------------------------------------------------------Key vocabulary to preview: scalene, isosceles, equilateral, right, acute, obtuse, tessellation, polygon, regular polygon. Teaching Strategies: active instruction, pair/share, journal work Graphic Organizer: Vocabulary Chart -----------------------------------------------------------------------------------------------------------Instruction: Begin the class by doing math message and then discuss using think/pair/share. AP #1 – identify 3 types of triangles Continue using your teacher’s guide and student journal pages 75-79 for lesson 3.6 AP #2: How do I know a triangle is congruent or similar to another triangle? Continue using your teacher’s guide and student journal pages 80-81 for lesson 3.7 and play polygon capture as EXTENDED THINKING ACTIVITY. AP#3 – Choose a polygon and list 2 of its properties. Have the students review their graphic organizer and make sure they complete them. Continue with lesson 3.8 on journal pages 82-84. AP#4 – How do I know a polygon will tessellate? Extended Thinking Lesson Continue with lesson 3.9 on journal pages 85-91 with finding measures of angles in polygons without a protractor but using the sum of a polygons angles. Continue with lesson 3.10 – using journal pages 92-97 reviewing polygon attributes. Summarizing Strategy: Answer the LEQ Word/Vocabulary census Polygon Acute angle Obtuse angle Straight angle Reflex angle Right angle radius diameter Vertical angle Adjacent angle Acute triangle Example/Picture Explain Properties or attributes Obtuse triangle Right triangle Equilateral triangle Scalene triangle Isosceles triangle Tessellation Regular polygon Topic: Angles and Polygons Concept #3: Using a protractor Unit Essential Question: How can I compare properties of basic figures? Concept #1: LEQ: How do I use a protractor to measure angles? Answer: I can determine angle measures by using all the angles in a shape or knowing the measure of a complete circle or straight angle. Concept #2: Angle Measures LEQ: Why is it important to collect data? LEQ: How can I determine angle measures? Answer: Collecting data helps me get more accurate information – helps me remember history. Vocabulary: acute, obtuse, right, straight, Vocabulary: and reflex angle, geometry template, diameter, radius, protractor, compass vertical and adjacent angles Answer: line up the center of the protractor with the vertex and the edge with the bottom line and find the number the opposite line runs through based on if it is acute or obtuse. Vocabulary: census Concept #6 UEQ Answer: An angle determines the properties of polygons and helps me know if the shapes are similar or different. Concept #4: Properties of polygons LEQ Concept #5: LEQ: How can I determine the name of a LEQ: polygon? Answer Vocabulary: Vocabulary Answer: The properties or characteristics Answer: of a polygon tell me which polygon it is. Vocabulary: scalene, isosceles, equilateral, right, acute, obtuse, tessellation, polygon, regular polygon.