Public Schools of Robeson County 6-12 Math Lesson Plan Template McCallum, Collins, Bethea, Barnes/Felder Teacher: Common Core Math Standards: 7.RP.1. Compute unit rates associated with ratios of fractions Subject/Grade Level: Math/7th Grade Date: 9/15/2014 7.NS.3. Solve real-world and mathematical problems involving the four operations with rational numbers Mathematical Practices: 1. Make sense of problems and persevere in solving them. 3. Construct viable arguments and critique the reasoning of others. Learning Target (I Can…): …simplify complex fractions and find unit rates. (1.2) Essential Question: What is a complex fraction? (1.2) Technology Standard: 7.TT.1.1 Use appropriate technology & other resources to access information. Level of Bloom's: Understanding Vocabulary: complex fraction, constant of proportionality, constant rate of change, constant of variation, coordinate plane, cross products, dimensional analysis, direct variation, equivalent ratios, nonproprotional, proportion, proportional, ordered pair, orgin, quadrants, rate, rate of change, slope, unit rate, unit ratio, x-axis, x-coordinate, y-axis, y-coordinate Monday Strategies/Sequence of Instruction: Engage: Students will complete a Common Core Word Problem about unit ratios as a gridded response. The top speed of a coyote is 43 miles per hour. Find the approximate speed in kilometers per minute. (Hint: 1 mile ≈ 1,610 meters) Explore: Students will review math problems from most recent benchmark. Students will have discussion about the following: A boat travels 30 miles in 2 hours. This can be represented by the ratio 30 miles/2 hours. How can you find the average speed of the boat in miles per hour? Divide the numerator by the denominator. What is the average speed? 15 miles/1 hour Suppose the boat travels 10 miles in 2/3 hour. What ratio represents this situation? 10 miles/2/3 hour What is 10/2/3 written as a division problem? 10 / 2/3 (1.2) Explain: Students will complete example problems and "Got It?" problems and explain their mathematical reasoning for solving the problems. Students will complete Guided Practice problems 1-6 on p20. (1.2) Elaborate: Students will complete as classwork/homework Independent Practice problems 2-18 (EVEN) pp21-22. (1.2) Evaluate: EXIT TICKET Students will simplify the complex fraction 8 / 1and3/5. (1.2) Assessment/Ways to Check for Understanding: Oral class discussion, Thumbs Up-Thumbs Down, Exit Slip, teacher observes student behaviors/understanding Resources: Internet, SmartBoard/presentation, PowerPoint, Textbook, InterWrite Pad 21st Century Themes: 21st Century Skills: Global Awareness Critical Thinking and Problem Solving Reflection: Licensed only for use by Robeson County © 2012 Janet Benincosa http://www.teacherspayteachers.com/Store/Janets-Tools-For-Schools Public Schools of Robeson County 6-12 Math Lesson Plan Template McCallum, Collins, Bethea, Barnes/Felder Teacher: Common Core Math Standards: 7.RP.1. Compute unit rates associated with ratios of fractions Subject/Grade Level: Math/7th Grade Date: 9/16/2014 7.NS.3. Solve real-world and mathematical problems involving the four operations with rational numbers Mathematical Practices: 1. Make sense of problems and persevere in solving them. 3. Construct viable arguments and critique the reasoning of others. Learning Target (I Can…): Essential Question: …simplify complex fractions and find unit rates. (1.2) What is a complex fraction? (1.2) 7.TT.1.1 Use appropriate technology & other resources to access Level of Bloom's: Applying information. Vocabulary: complex fraction, constant of proportionality, constant rate of change, constant of variation, coordinate plane, cross products, dimensional analysis, Technology Standard: direct variation, equivalent ratios, nonproprotional, proportion, proportional, ordered pair, orgin, quadrants, rate, rate of change, slope, unit rate, unit ratio, Tuesday Strategies/Sequence of Instruction: Engage: Students will complete a Common Core Word Problem about ratios as a gridded response. Caroline drove 350 miles to her grandmother’s house. The trip took her 5 1/4 hours. What was her average speed in miles per hour? Explore: Students will have discussion about the classwork/homework from previous day (Independent Practice problems 2-18 (EVEN) pp21-22). (1.2) Explain: Students will complete a "Multiplication and Division of Fractions Square Puzzle" to practice and reinforce their skills with fractions. (1.2) activity NCSCoS Elaborate: Students will complete a "Multiplication and Division of Fractions Square Puzzle" to practice and reinforce their skills with fractions. (1.2) activity NCSCoS Evaluate: EXIT TICKET Students will simplify the complex fraction 5/12 / 3/4 and compare the steps required for multiplying fractions to the steps required for dividing fractions. (1.2) Assessment/Ways to Check for Understanding: Oral class discussion, Thumbs Up-Thumbs Down, Exit Slip, teacher observes student behaviors/understanding Resources: Internet, SmartBoard/presentation, PowerPoint, Textbook, InterWrite Pad 21st Century Themes: 21st Century Skills: Global Awareness Critical Thinking and Problem Solving Reflection: Licensed only for use by Robeson County © 2012 Janet Benincosa http://www.teacherspayteachers.com/Store/Janets-Tools-For-Schools Public Schools of Robeson County 6-12 Math Lesson Plan Template McCallum, Collins, Bethea, Barnes/Felder Teacher: Common Core Math Standards: 7.RP.2 Recognize & represent proportional relationships between quantities Subject/Grade Level: Math/7th Grade Date: 9/17/2014 7.RP.2.a. Decide whether two quantities are in a proportional relationship 7.RP.2.b. Identify constant of proportionality in tables, graphs, equations, diagrams, & verbal Mathematical Practices: 1. Make sense of problems and persevere in solving them. 4. Model with mathematics. Learning Target (I Can…): Essential Question: …identify proportional and nonproportional relationships. (1.4) What makes two quantities proportional? (1.4) 7.TT.1.1 Use appropriate technology & other resources to access Level of Bloom's: Applying information. Vocabulary: complex fraction, constant of proportionality, constant rate of change, constant of variation, coordinate plane, cross products, dimensional analysis, Technology Standard: direct variation, equivalent ratios, nonproprotional, proportion, proportional, ordered pair, orgin, quadrants, rate, rate of change, slope, unit rate, unit ratio, x-axis, x-coordinate, y-axis, y-coordinate Wednesday Strategies/Sequence of Instruction: Engage: Students will complete a Common Core Word Problem as a gridded response. A small airplane used 5 2/3 gallons of fuel to fly a 2 hour trip. How many gallons were used each hour? Explore: Students will have discussion around the following: Write the following ratios on the board: 60mi/1h, 120mi/2h, and 190mi/3h. Which ratio is a unit rate? If a driver travels 120 miles in 2 hours, is the average speed 60mi/1h? If a driver travels 190 miles in 3 hours, is the average speed 60mi/1h? (1.4) Explain: Students will complete example problems and "Got It?" problems and explain their mathematical reasoning for solving the problems. Students will complete Guided Practice problems 1-3 on p36. (1.4) Elaborate: Students will complete Independent Practice problems 2-8 (EVEN) pp37-38. will complete "Lesson 4 Problem-Solving Practice: Proportional ans Non-Proportional Relationships" curriculum worksheet.(1.4) Students Evaluate: EXIT TICKET Students will discuss the required criteria to determine proportionality and collaboratively share their answers from the Problem-Solving worksheet. (1.4) Assessment/Ways to Check for Understanding: Oral class discussion, Thumbs Up-Thumbs Down, Exit Slip, teacher observes student behaviors/understanding Resources: Internet, SmartBoard/presentation, PowerPoint, Textbook, InterWrite Pad 21st Century Themes: 21st Century Skills: Global Awareness Critical Thinking and Problem Solving Reflection: Licensed only for use by Robeson County © 2012 Janet Benincosa http://www.teacherspayteachers.com/Store/Janets-Tools-For-Schools Public Schools of Robeson County 6-12 Math Lesson Plan Template McCallum, Collins, Bethea, Barnes/Felder Teacher: Common Core Math Standards: 7.RP.2 Recognize & represent proportional relationships between quantities Subject/Grade Level: Math/7th Grade Date: 9/18/2014 7.RP.2.a. Decide whether two quantities are in a proportional relationship 7.RP.2.b. Identify constant of proportionality in tables, graphs, equations, diagrams, & verbal Mathematical Practices: 1. Make sense of problems and persevere in solving them. 4. Model with mathematics. Learning Target (I Can…): Essential Question: …identify proportional and nonproportional relationships. (1.4) What makes two quantities proportional? (1.4) 7.TT.1.1 Use appropriate technology & other resources to access Level of Bloom's: Applying information. Vocabulary: complex fraction, constant of proportionality, constant rate of change, constant of variation, coordinate plane, cross products, dimensional analysis, Technology Standard: direct variation, equivalent ratios, nonproprotional, proportion, proportional, ordered pair, orgin, quadrants, rate, rate of change, slope, unit rate, unit ratio, x-axis, x-coordinate, y-axis, y-coordinate Thursday Strategies/Sequence of Instruction: Engage: Students will complete a Common Core Word Problem as a gridded response. Madison wants to make cookies for her little sister’s birthday party. She is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is 13 inches long, how many cookies can she make? Explore: Students will have discussion about the classwork/homework from the previous day (Independent Practice problems 2-8 (EVEN) pp37-38). (1.4) Explain: Students will complete Problem-Based Learning Investigation 1: Proportional Relationships (curriculum support material). (1.4) Elaborate: Students will complete Problem-Based Learning Investigation 1: Proportional Relationships (curriculum support material). (1.4) Evaluate: EXIT TICKET Students will compare proportional and nonproportional relationships. (1.4) Assessment/Ways to Check for Understanding: Oral class discussion, Thumbs Up-Thumbs Down, Exit Slip, teacher observes student behaviors/understanding Resources: Internet, SmartBoard/presentation, PowerPoint, Textbook, InterWrite Pad 21st Century Themes: 21st Century Skills: Global Awareness Critical Thinking and Problem Solving Reflection: Licensed only for use by Robeson County © 2012 Janet Benincosa http://www.teacherspayteachers.com/Store/Janets-Tools-For-Schools Public Schools of Robeson County 6-12 Math Lesson Plan Template McCallum, Collins, Bethea, Barnes/Felder Teacher: Common Core Math Standards: 7.RP.1. Compute unit rates associated with ratios of fractions Subject/Grade Level: Math/7th Grade Date: 9/19/2014 7.RP.2.a. Decide whether two quantities are in a proportional relationship 7.RP.2.b. Identify constant of proportionality in tables, graphs, equations, diagrams, & verbal Mathematical Practices: 1. Make sense of problems and persevere in solving them. 3. Construct viable arguments and critique the reasoning of others. Learning Target (I Can…): Essential Question: …simplify complex fractions and find unit rates. (1.2) proportional and nonproportional relationships. (1.4) What is a complex fraction? (1.2) What makes two quantities proportional? (1.4) …identify 7.TT.1.1 Use appropriate technology & other resources to access Level of Bloom's: Applying information. Vocabulary: complex fraction, constant of proportionality, constant rate of change, constant of variation, coordinate plane, cross products, dimensional analysis, Technology Standard: direct variation, equivalent ratios, nonproprotional, proportion, proportional, ordered pair, orgin, quadrants, rate, rate of change, slope, unit rate, unit ratio, x-axis, x-coordinate, y-axis, y-coordinate Friday Strategies/Sequence of Instruction: Engage: Students will complete a Common Core Word Problem as a gridded response. Anita is making a curtain to surround a table. She bought 3 1/4 yards of fabric. Her total cost was $13. What was the cost per yard? Explore: Students will take teacher-made assessment covering 1.2 (complex fractions and unit rates) and 1.4 (proportional and non-proportional relationships). Explain: Students will take teacher-made assessment covering 1.2 (complex fractions and unit rates) and 1.4 (proportional and non-proportional relationships). Elaborate: Students will take teacher-made assessment covering 1.2 (complex fractions and unit rates) and 1.4 (proportional and non-proportional relationships). Evaluate: EXIT TICKET Students will share their own reflections about any difficulties or confidence builders they experienced during this assessment. Assessment/Ways to Check for Understanding: Oral class discussion, Thumbs Up-Thumbs Down, Exit Slip, teacher observes student behaviors/understanding Resources: Internet, SmartBoard/presentation, PowerPoint, Textbook, InterWrite Pad 21st Century Themes: 21st Century Skills: Global Awareness Critical Thinking and Problem Solving Reflection: Licensed only for use by Robeson County © 2012 Janet Benincosa http://www.teacherspayteachers.com/Store/Janets-Tools-For-Schools
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