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Core Understandings
 Models in our community can provide a useful visual for basic geometric principles.
 Students will have greater appreciation of geometry concepts if they can relate them to the world that they live in.
 Fun and exciting games can be made using multimedia tools.
 Geometry exists in the world we live in.
Learning Objectives
 Students will calculate the area and perimeter (circumference) of circles, triangles, rectangles, parallelograms, and irregular shapes.
 Students will calculate volume and surface area of threedimensional shapes.
 Students will identify shapes of objects in their classroom and community and identify the dimensions of the shapes.
 In small groups, students will download and edit pictures from a digital camera and pictures downloaded from the Internet.
 Students will collaboratively create a game using images in PowerPoint.
California Content Standards 
 English and Language Arts 
 Grade Six
 Listening and Speaking 
 ELA.6.2.0. Speaking Applications (Genres and Their Characteristics) 
 ELA.6.2.1. Deliver narrative presentations: a. Establish a context, plot, and point of view. b. Include sensory details and concrete language to develop the plot and character. c. Use a range of narrative devices (e.g., dialogue, tension, or suspense). 
  ELA.6.2.2. Deliver informative presentations: a. Pose relevant questions sufficiently limited in scope to be completely and thoroughly answered. b. Develop the topic with facts, details, examples, and explanations from multiple authoritative sources (e.g., speakers, periodicals, online information). 
  ELA.6.2.5. Deliver presentations on problems and solutions: a. Theorize on the causes and effects of each problem and establish connections between the defined problem and at least one solution. b. Offer persuasive evidence to validate the definition of the problem and the proposed solutions. 
 Mathematics
 Grade Six Number Sense 
MA.6.2.0. Students calculate and solve problems involving addition, subtraction, multiplication, and division: 
 MA.6.2.1. Solve problems involving addition, subtraction, multiplication, and division of positive fractions and explain why a particular operation was used for a given situation. 
 Measurement and Geometry 
MA.6.1.0. Students deepen their understanding of the measurement of plane and solid shapes and use this understanding to solve problems: 
 MA.6.1.1. Understand the concept of a constant such as p; know the formulas for the circumference and area of a circle. 
  MA.6.1.2. Know common estimates of p(3.14; 22/7) and use these values to estimate and calculate the circumference and the area of circles; compare with actual measurements. 
  MA.6.1.3. Know and use the formulas for the volume of triangular prisms and cylinders (area of base x height); compare these formulas and explain the similarity between them and the formula for the volume of a rectangular solid. 
 MA.6.2.0. Students identify and describe the properties of twodimensional figures: 
 MA.6.2.1. Identify angles as vertical, adjacent, complementary, or supplementary and provide descriptions of these terms. 
  MA.6.2.2. Use the properties of complementary and supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle. 
  MA.6.2.3. Draw quadrilaterals and triangles from given information about them (e.g., a quadrilateral having equal sides but no right angles, a right isosceles triangle). 


California English Language Development Standards 
 Listening And Speaking 
 68
 Strategies and Applications 
 Intermediate 
 Comprehension 
 Listen attentively to stories and information and identify important details and concepts by using both verbal and nonverbal responses. 
 Comprehension and Organization and Delivery of Oral Communication 
 Make oneself understood when speaking by using consistent standard English grammatical forms and sounds; however, some rules may not be followed (e.g., thirdperson singular, male and female pronouns). 
  Participate in social conversations with peers and adults on familiar topics by asking and answering questions and soliciting information. 
  Prepare and deliver short presentations on ideas, premises, or images obtained from various common sources. 
 Early Advanced 
Comprehension and Organization and Delivery of Oral Communication 
 Make oneself understood when speaking by using consistent standard English grammatical forms, sounds, intonation, pitch, and modulation but may make random errors. 
  Participate in and initiate more extended social conversations with peers and adults on unfamiliar topics by asking and answering questions and restating and soliciting information. 
  Recognize appropriate ways of speaking that vary according to the purpose, audience, and subject matter. 
  Respond to messages by asking questions, challenging statements, or offering examples that affirm the message. 
  Prepare and deliver presentations that use various sources. 
 Advanced 
Comprehension and Organization and Delivery of Oral Communication 
 Prepare and deliver presentations and reports in various content areas, including a purpose, point of view, introduction, coherent transition, and appropriate conclusions. 
  Speak clearly and comprehensibly by using standard English grammatical forms, sounds, intonation, pitch, and modulation. 




