ALGEBRA II LESSON PLAN MONDAY, August 22, 2016 (ZSpace Activity) Standards: MA10-GR.HS-S.1-GLE.1 MA10-GR.HS-S.1-GLE.2 MA10-GR.HS-S.1-GLE.4 Unit Title: Functional Form and Design Inquiry Question: Why are functions necessary to the design and building of skyscrapers? Unit Strands: Number and Quantity: Quantities Algebra: Reasoning with Equations and Inequalities Functions: Interpreting Functions Functions: Building Functions Functions Linear, Quadratic and Exponential Models Concepts: Relation, Function, Domain, Range, Inverse Function, Vertical Line Test, Mapping, X-Y coordinates, function of x as input and output I can… Define relation Determine if a relation is a function through formal definition, mapping, coordinates, table, word problems, vertical line test and algebraic method Relate functions to real life situations Learning Activities: 1. Conduct a brainteaser about riddles. 2. Conduct a review on coordinate plane, x-y ordered pairs, x-intercept and yintercept and graphing. 3. Present relation as x-y ordered pairs, word problems and different types of graph. 4. Introduce a special type of relation which is FUNCTION. 5. Give the formal definition. Show a diagram how to determine if a relation as a function through either mapping or graphing. FUNCTIONS Coordinates Vertical Line Test Algebraic TABLE and MAPPING 6. Give examples on each way to know if a relation is a function. 7. For closure, ask students to determine if each graph is a function through peardeckactivity.com. Let them justify why. Vocabulary: relation, function, mapping, coordinates, vertical line test, function of x, function notation f(x) Assessment: Assignment: TUESDAY, August 23, 2016 Standards: Unit Title: MA10-GR.HS-S.1-GLE.1 MA10-GR.HS-S.1-GLE.2 MA10-GR.HS-S.1-GLE.4 Functional Form and Design Inquiry Question: Why are functions necessary to the design and building of skyscrapers? Unit Strands: Number and Quantity: Quantities Algebra: Reasoning with Equations and Inequalities Functions: Interpreting Functions Functions: Building Functions Functions Linear, Quadratic and Exponential Models Concepts: Relation, Function, Domain, Range, Inverse Function, Vertical Line Test, Mapping, X-Y coordinates, function of x as input and output I can… Determine if a relation is a function through formal definition, mapping, coordinates, table, word problems, vertical line test and algebraic method Find f(x) if x is given or find x if f(x) given a graph Construct a graph using function notation Learning Activities: 1. Conduct a review on functions. FUNCTIONS DEFINITION 2. 3. 4. 5. Mapping/Coordinates Vertical Line Test Algebraic Present the lesson Function Notation a. How to find f(x) is x is given b. How to complete a table and graph of a function if x is given c. How to find x if f(x) is given Conduct a peardeck.com activity. Give FUNCTIONS Seatwork#1 For closure, summarize how to determine if relations are functions. Vocabulary: relation, function, mapping, coordinates, vertical line test, function of x, function notation, input, output Assessment: Whiteboard Activity, Functions Seatwork#1 Assignment: Functions Seatwork#1 15 points WEDNESDAY, August 24, 2016 Standards: Unit Title: MA10-GR.HS-S.1-GLE.1 MA10-GR.HS-S.1-GLE.2 MA10-GR.HS-S.1-GLE.4 Functional Form and Design Inquiry Question: Why are functions necessary to the design and building of skyscrapers? Unit Strands: Number and Quantity: Quantities Algebra: Reasoning with Equations and Inequalities Functions: Interpreting Functions Functions: Building Functions Functions Linear, Quadratic and Exponential Models Concepts: Relation, Function, Domain, Range, Inverse Function, Vertical Line Test, Mapping, X-Y coordinates, function of x as input and output I can… Determine if a relation is a function through formal definition, mapping, coordinates, table, word problems, vertical line test and algebraic method Find f(x) if x is given State the domain and range of a function given graphs through set builder notation Learning Activities: 1. Conduct a review on functions and function notation 2. PRESENT the lesson: DOMAIN and RANGE. Through the following: a. Coordinates b. Real World Examples c. Graphing i. Before graphing discuss the symbols >, <, ∪ ii. For domain: horizontal boundary and range: vertical boundary iii. Representing both inequality set builder notation 3. Conduct whiteboard activity then a book activity pp. 5-7. 4. For closure, summarize how to determine the domain and range through inequality and set builder notation.. Vocabulary: relation, function, mapping, coordinates, vertical line test, function of x, function notation, input, output, domain and range, set builder notation, inequality, interval notation Assessment: Whiteboard Activity, Worksheet Lesson 1.1 Assignment: Worksheet Lesson 1.1 THURSDAY, August 25, 2016 Standards: Unit Title: MA10-GR.HS-S.1-GLE.1 MA10-GR.HS-S.1-GLE.2 MA10-GR.HS-S.1-GLE.4 Functional Form and Design Inquiry Question: Why are functions necessary to the design and building of skyscrapers? Unit Strands: Number and Quantity: Quantities Algebra: Reasoning with Equations and Inequalities Functions: Interpreting Functions Functions: Building Functions Functions Linear, Quadratic and Exponential Models Concepts: Relation, Function, Domain, Range, Inverse Function, Vertical Line Test, Mapping, X-Y coordinates, function of x as input and output I can… Determine if a relation is a function through formal definition, mapping, coordinates, table, word problems, vertical line test and algebraic method Find f(x) if x is given State the domain and range of a function given graphs through interval notation Learning Activities: 1. Conduct a brainteaser about riddles. 2. Conduct a review on domain and range. a. Coordinates b. Real World Examples c. Graphing i. Before graphing discuss the symbols (, ), [, ], ∞ ii. For domain: horizontal boundary and range: vertical boundary iii. Representing INTERVAL NOTATION 3. Conduct a whiteboard activity. 4. Conduct a Worksheet Activity Lesson 1.1 5. For closure, summarize how to determine the domain and range through INTERVAL NOTATION. Vocabulary: relation, function, mapping, coordinates, vertical line test, function of x, function notation, input, output, domain and range, interval notation Assessment: Whiteboard Activity, Worksheet Lesson 1.1 Assignment: Worksheet Lesson 1.1 FRIDAY, August 26, 2016 Standards: Unit Title: MA10-GR.HS-S.1-GLE.1 MA10-GR.HS-S.1-GLE.2 MA10-GR.HS-S.1-GLE.4 Functional Form and Design Inquiry Question: Why are functions necessary to the design and building of skyscrapers? Unit Strands: Number and Quantity: Quantities Algebra: Reasoning with Equations and Inequalities Functions: Interpreting Functions Functions: Building Functions Functions Linear, Quadratic and Exponential Models Concepts: Relation, Function, Domain, Range, Inverse Function, Vertical Line Test, Mapping, X-Y coordinates, function of x as input and output I can… Determine if a relation is a function through formal definition, mapping, coordinates, table, word problems, vertical line test and algebraic method Find f(x) if x is given State the domain and range of a function given graphs through interval notation Learning Activities: 1. Conduct a review and summary on whatever was discussed since Monday. 2. REVIEW the lesson: Finding Domain and Range given linear, radicals and rational functions using pp-12-13 of the book. a. Represent it as Set Builder and Interval Notation 3. Give functions domain and range Seatwork#2 4. For closure, summarize how to determine the domain and range through set builder and INTERVAL NOTATION. Vocabulary: relation, function, mapping, coordinates, vertical line test, function of x, function notation, input, output, domain and range Assessment: Whiteboard Activity, Domain and Range Seatwork#2 Assignment: Functions, Domain and Range Seatwork#2
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