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Grade 7 Unit 5 Table of Contents Ratios and Proportions Section Page Number Unit Description Unit Standards Unit Essential Questions Unit Proficiencies (Learning Targets) Unit Vocabulary and Language Support Sample Unit Calendar and Possible Supporting Materials Student Proficiencies Handout Unit Assessments and Rubric/Commentary 1|Page This Unit Developed by: Althea Beam, Robert Shearer, and Brad Agenbroad (June, 2014) Grade 7 Content Unit 5 Dates of Unit: 9/8 – 10/17/ 2014 Unit Title: Stage 1 Unit Description: Standards: Ratios and Proportions Identify Desired Results Essential Questions: Standard Proficiencies 1. How is an understanding of ratios and proportions useful in problem solving? (Learning Targets) In this unit students will use ratios and proportions to determine similarity among various shapes. 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, If a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour. 7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. 7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. 7.G.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. 7.G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. 7.RP.1 I can compute unit rates for ratios of fractions, in like or different units. 7.RP.3 I can recognize and use proportional relationships to solve multi-step problems. 7.G.1 I can use scale factors and proportional relationships to solve problems involving scale drawings. 7.G.2 I can draw geometric shapes with given conditions, using appropriate tools, including freehand, rulers, protractors and technology. 7.G.5 I can find unknown angle measures by writing and solving algebraic equations based on the relationships between angles. 2|Page This Unit Developed by: Althea Beam, Robert Shearer, and Brad Agenbroad (June, 2014) I can analyze the given conditions, based on 3 measures of sides or of angles, of a triangle and determine when there is one, more than one, or no triangle. 3|Page This Unit Developed by: Althea Beam, Robert Shearer, and Brad Agenbroad (June, 2014) Stage 2 Determine Assessment Evidence Academic Language (What language will students need to sound like experts?) Academic Language Function(s): 4|Page This Unit Developed by: Althea Beam, Robert Shearer, and Brad Agenbroad (June, 2014) Stage 3 Plan Learning Experiences and Instruction Pacing Calendar Proficiency Material Time Allotment 5|Page This Unit Developed by: Althea Beam, Robert Shearer, and Brad Agenbroad (June, 2014) Prime number Median Composite number Even number Odd number Distributive Property Whole number Decimal Number Line Factor Mode Product Base (of an exponent) Greatest common factor Digit Positive number Negative number Zero Least common multiple Range Addend Sum Difference Multiple Mean Quotient Operations 6|Page This Unit Developed by: Althea Beam, Robert Shearer, and Brad Agenbroad (June, 2014) Proficiency Assessment… Name _________________________________ Date _______________________ Period ____ Proficiency # – “I can ….” 7|Page This Unit Developed by: Althea Beam, Robert Shearer, and Brad Agenbroad (June, 2014) Proficiency Score 4 Percentage 3 83% 2 67% 1 50% 100% Description WOW! I have shown proficiency and deeper understanding by: You got it I have shown proficiency by: Help is needed I have shown partial understanding by: Uh-oh… I have not yet shown my understanding of the math. 8|Page This Unit Developed by: Althea Beam, Robert Shearer, and Brad Agenbroad (June, 2014)