Course: 7 th Grade Math DETAIL LESSON PLAN Wednesday, November 30 / Thursday, December 1 Student Objective (Obj. 2d) TSW… complete a function table based on a given rule and vice versa. Lesson 9-4 Function Tables Textbook Pages: 452-455 Homework Test next class. Complete Study Guide. Last Night’s Homework Unit Rate WS (6 problems) Bellwork Work Semester Exam Study Guide: Problem numbers___________ - ___________. Prior Knowledge During our unit on Algebra we used substitution to solve problems involving algebra. For example: Evaluate 2x + y = ______ where x = 5, y = 1 Using substitution we get the answer 11. Being able to substitute will be the key concept we’ll use in today’s lesson! Anticipatory Set TODAY, we are going to learn about something called a Function Table. Display Transparencies “Crickets!” Earlier in the nine weeks we used something called substitution to solve problems involving algebra. Being able to substitute will be the key concept we’ll use in today’s lesson! Display transparencies on crickets. Explain that crickets and how they respond to different temperatures are going to help us illustrate how function tables can be used in everyday life! Why learn this? Well, as seen in our introduction, a function is a relationship where an output depends upon an input. We can count the number of chips a cricket makes in 15 seconds and add 40 to determine what the temperature is outside! Teacher Input Review Bellwork. Review Homework. Use transparencies on “Crickets” to lead into today’s lesson on function tables. Pass out student notes. Define the terms function, function table, and function rule. (Multi-Flow Map) Point out: SUBSTITUTION will be the KEY to solving problems involving Function Tables! Explain that when you are given a function rule, you can use substitution to determine the output value. Show two types of function tables. Demonstrate how to find the output value for each input value given. Allow students to work two you-try problems. (independently) Explain and demonstrate how you would determine the function “rule” if only give a table of input values and output values. Allow students to work one you-try problem. (independently) Classwork: Lesson 9-4 (Patterns, Tables, Functions) 5 problems Extra Practice: Function Tables Extra Practice Sheet 7 problems Functions Tables MCT Review 13 problems (booklet) Assessment Question students for understanding. Observe students as they work on their classwork. Take up classwork sheet for grade. Closure 1) A function is a relationship in which an output value depends upon a _______ value? Input 2) Function tables are often referred to as a ______ / ______ table? Input / Output 3) The “x” represents which one: Input or Output Input 4) The “y” represents which one: Input or Output Output 5) What is the key to solving problems involving function tables? Substitution!
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Course: 7th Grade Math DETAIL LESSON PLAN Wednesday, November 30 / Thursday, December 1 Student Objective (Obj. 2d) TSW… complete a function table based on a given rule and vice versa. Lesson 9-4 Function Tables Textbook Pages: 452-455 Homework Test next class. Complete Study Guide. Last Night’s Homework Unit Rate WS (6 problems)
Bellwork Work Semester Exam Study Guide: Problem numbers___________ - ___________.
Prior Knowledge
During our unit on Algebra we used substitution to solve problems involving algebra. For example: Evaluate 2x + y = ______ where x = 5, y = 1 Using substitution we get the answer 11. Being able to substitute will be the key concept we’ll use in today’s lesson! Anticipatory Set
TODAY, we are going to learn about something called a Function Table.
Display Transparencies “Crickets!” Earlier in the nine weeks we used something called substitution to solve problems involving algebra. Being able to substitute will be the key concept we’ll use in today’s lesson! Display transparencies on crickets. Explain that crickets and how they respond to different temperatures are going to help us illustrate how function tables can be used in everyday life!
Why learn this? Well, as seen in our introduction, a function is a relationship where an output depends upon an input. We can count the number of chips a cricket makes in 15 seconds and add 40 to determine what the temperature is outside!
Teacher Input
Review Bellwork.
Review Homework.
Use transparencies on “Crickets” to lead into today’s lesson on function tables.
Pass out student notes.
Define the terms function, function table, and function rule. (Multi-Flow Map)
Point out: SUBSTITUTION will be the KEY to solving problems involving Function Tables!
Explain that when you are given a function rule, you can use substitution to determine the output value.
Show two types of function tables. Demonstrate how to find the output value for each input value given.
Allow students to work two you-try problems. (independently)
Explain and demonstrate how you would determine the function “rule” if only give a table of input values and output values.
Allow students to work one you-try problem. (independently)
Extra Practice: Function Tables Extra Practice Sheet 7 problems Functions Tables MCT Review 13 problems (booklet)
Assessment Question students for understanding. Observe students as they work on their classwork. Take up classwork sheet for grade.
Closure 1) A function is a relationship in which an output value depends upon a _______ value? Input 2) Function tables are often referred to as a ______ / ______ table? Input / Output 3) The “x” represents which one: Input or Output Input 4) The “y” represents which one: Input or Output Output 5) What is the key to solving problems involving function tables? Substitution!
1) What is the ratio of smiley faces to frowny faces three different ways?
2) Write this ratio in simplest form _____ to _____ ____ : _____
There are 375 red tulips, 89 yellow tulips, and 252 white tulips. 3) What is the ratio of yellow tulips to white tulips? 4) What is the ratio of white tulips to red tulips? 5) What is the ratio of yellow tulips to all tulips?
Part 2 Proportions
Directions: On numbers 6 and 7 cross multiply to determine whether the ratios form a proportion.
6)
=
A) Yes B) No
7)
=
A) Yes B) No
8) Cross multiply to solve the proportion.
=
9) Solve the proportion.
=
Part 3 Unit Rates / Unit Cost
10) Bubba’s old truck drove 198 miles in 6 hours. Find the unit rate.
11) Find the unit rate for scoring 207 points in 9 games.
12) Express the rate as a unit cost. $104.99 for 12 CD’s. Round to nearest cent! Remember:
1) What is the ratio of smiley faces to frowny faces three different ways?
6 to 4 6:4
2) Write this ratio in simplest form __4___ to __25___ __4__ : __25___
There are 375 red tulips, 89 yellow tulips, and 252 white tulips. 3) What is the ratio of yellow tulips to white tulips? 89 to 252 4) What is the ratio of white tulips to red tulips? 252 to 375 5) What is the ratio of yellow tulips to all tulips? 89 to 716
Part 2 Proportions
Directions: On numbers 6 and 7 cross multiply to determine whether the ratios form a proportion.
6)
=
A) Yes B) No
7)
=
A) Yes B) No
8) Cross multiply to solve the proportion.
=
4x = 384 x = 96
9) Solve the proportion.
=
8b = 3600 x = 450
Part 3 Unit Rates / Unit Cost
10) Bubba’s old truck drove 198 miles in 6 hours. Find the unit rate.
33 miles per hour
11) Find the unit rate for scoring 207 points in 9 games.
23 points in one game
12) Express the rate as a unit cost. $104.99 for 12 CD’s. Round to nearest cent! Remember: