Course
/ Geometry / Grade / 10Unit Number / 1 / Unit Title / Shapes and Patterns
Time Frame / 3 – 4 Weeks
STAGE 1 – Desired Results
Unit Description
Recognizing patterns, making conjectures, and reasoning inductively helps us analyze geometric relationships that improve the understanding of our world.Enduring Understandings
/Essential Questions
· In mathematics and in the natural world, patterns exist and recur; identifying and analyzing those patterns can help us achieve greater understanding as well as make better decisions and predictions. / · What is the significance of symbols and “good definitions” in geometry?· How does inductive reasoning help us make decisions?
Students will know…
· inductive reasoning in problem solving.· basic geometric figures such as points, lines, and planes.
· midpoint formula.
· segment Addition Postulate, Ruler Postulate, Angle Addition Postulate, Protractor Postulate. / Students will be able to…· Recognize inductive reasoning in a real-life situation.
· Name and draw basic geometric figures.
· Measure angles.
· Find the length and midpoint of a segment.
Grade-Level Expectations
1. Simplify and determine the value of radical expressions. [N-2-H, N-7-H]
5. Write the equation of a line of best fit for a set of 2-variable real-life data presented in table of scatter plot form, with or without technology. [A-2-H, D-2-H]
9. Construct 2- and 3- dimensional figures when given the name, description, or attributes with and without technology. [G-1-H]
10. Form and test conjectures concerning geometric relationships including lines, angles, and polygons, with and without technology. [G-1-H]
16. Represent and solve problems using distance on a number line or in the plane. [G-3-H]
17. Compare and contrast inductive and deductive reasoning approaches to justify conjectures and solve problems. [G-4-H, G-6-H]
20. Show or justify the correlation between a linear or a nonlinear set and a graph. [D-2-H]
22. Interpret and summarize a set of experimental data presented in a table, bar graph, line graph, scatter plot or circle graph. [D-7-H]
24. Use counting procedures and techniques to solve real –life problems. [D-9-H]
25. Use discrete math to model real-life situations. [D-9-H]
26. Generalize and represent patterns symbolically, with and without technology. [P-1-H]
27. Translate among tabular, graphic, symbolic representations of patterns in real-life situations, with or without technology. [A-3-H, P-2-H]
Foundation Skills
Communication
· Writing, Speaking, Visually Representing
o Organize data/information
o Analyze the prompt/question
o Match content to audience
· Reading, Listening, Viewing
o Conduct ongoing evaluation & reflection
o Analyze information
o Determine purpose
o Analyze words.
o Apply/transfer knowledge.
Problem Solving
· Identification/analysis of problem or challenge
o Analyze problem
o Represent problem
· Application of knowledge and thinking processes
o Decision Making
o Reasoning
o Inquiry
· Reach a solution
o Analyze and select approach
o Implement and evaluate solution
o Use creative thinking to generate multiple solutions
Resource Access & Knowledge
· Select and utilize technology tools
o Utilize tools
o Select appropriate tool for task
· Employ operations of technology systems
o Demonstrate proficiency in the use of technology
Linking & Generating Knowledge
· Link
o Elaboration
o Transfer knowledge
· Generate
o Present material in written, oral, and/or visual forms
o Produce quality products reflecting original purpose
Citizenship
· Cooperation
o Contribute to overall effort of group
o Work well with diverse individuals and diverse situations.
· Accountability
o Ask for help when needed
o Express feelings appropriately
o Respond to offers of help appropriately
· Knowledge
o Use tools to organize & manage information
o Review information in order to keep abreast of changes
· Guidance
o Develop positive leadership skills/respond to appropriate leadership of others.
Unit Plan – Revised 7/26/2007 2