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) 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! Student Notes 9-4 Patterns, Tables and Functions Textbook 452 - 455 Function Tables New Vocabulary: A function is a relationship in which an output value depends upon an input value. A function table is often referred to as an Input/Output table. A rule tells how one number (input) is related to another number (output). When “given” a Function Rule… You can use substitution to determine the output value! 1) Find the output for each input of: y = 4x + 1 Input y = 2x – 4 Output Input X Y X Y 1 ? 0 ? 2 ? 1 ? 3 ? 2 ? 4 ? 3 ? 2) The table below lists four solutions of 6x + 2. What is the best choice to find the missing value? X 6x + 2 Y 3 6(3) + 2 20 0 6(0) + 2 2 -1 6(-1) + 2 -4 (-1, -4) -2 6(-2) + 2 ? (-2, ?) (X,Y) (3, 20) (0, 2) ( _____ , _____ ) 3) The table below lists four solutions of 2x - 3. What is the best choice to find the missing value? X 2x – 3 Y (X,Y) 2 2(2) 3 1 (2, 1) 3 2(3) 3 3 (3, 3) 0 2(0) 3 -3 (0, -3) ? (-3, ?) -3 Output 2(-3) 3 ( _____ , _____ ) How do you determine the Function Rule of a table when you’re asked? The number pattern… is the “rule” for the table. The rule must work for every input value in the table! Therefore… you must test each input value to make sure you get the correct output value! Tips when looking for a rule to describe a pattern. Increasing – The rule will either be addition (+) or multiplication (x). Decreasing – The rule will either be subtraction (-) or division ( ). Input X Output Y 2 4 5 7 10 12 15 17 Numbers are Increasing! So, it’s either ____ or ____? Choose the correct function rule! A. x 2= y B. x 2= y C. What is the rule for the above table? a) x + 2 = y b) x – 20 = y c) = y = y D. X Y 40 20 34 17 20 10 6 3 x d) x 2 = y 2= y Name: _____________________________ Period: ________ Date: ___________ Lesson 9-4 (Patterns, Tables and Functions) Classwork! Directions: Choose the best answer for the following multiple choice question. Write your answer in the blanks provided. _ ___ 1) What is the rule for the below table? X 14 12 10 6 A) x – 3 = y B) x + 3 = y _ ____ 4) The table below lists four solutions of 3x + 2. What is the best choice to find the missing value? Y 11 9 7 3 C) = y X 3 0 -1 -3 D) x 3= y _____ 2) What is the rule for the below table? X 100 50 10 4 A) x – 50 = y B) = y A) B) C) D) 0, 5, 6, 10 6, 11, 12, 16 1, 26, 31, 51 7, 3, 10, 4 Y ? ? ? ? B) 8 C) -1 A) -3 A) True D) x 2= y _____ 3) Find the output for each input of y = 5x + 1. X 0 5 6 10 Y 11 2 -1 ? (X,Y) (3, 11) (0, 2) (-1, -1) (-3, ?) D) -7 _ ____ 5) A function is a relationship in which an output value depends upon an input value. Y 50 25 5 2 C) x + 50 = y 3x +2 3(3) + 2 3(0) + 2 3(-1) + 2 3(-3) + 2 B) False Name: _____Answer Key___________ Period: ________ Date: ___________ Classwork! Lesson 9-4 (Patterns, Tables and Functions) Directions: Choose the best answer for the following multiple choice question. Write your answer in the blanks provided. _ A__ 1) What is the rule for the below table? X 14 12 10 6 A) x – 3 = y B) x + 3 = y _ D__ 4) The table below lists four solutions of 3x + 2. What is the best choice to find the missing value? Y 11 9 7 3 C) = y X 3 0 -1 -3 D) x 3= y __B__ 2) What is the rule for the below table? X 100 50 10 4 A) x – 50 = y B) = y A) True D) x 2= y __C__ 3) Find the output for each input of y = 5x + 1. X 0 5 6 10 A) B) C) D) 0, 5, 6, 10 6, 11, 12, 16 1, 26, 31, 51 7, 3, 10, 4 Y ? ? ? ? B) 8 C) -1 Y 11 2 -1 ? (X,Y) (3, 11) (0, 2) (-1, -1) (-3, ?) D) -7 _ A__ 5) A function is a relationship in which an output value depends upon an input value. Y 50 25 5 2 C) x + 50 = y A) -3 3x +2 3(3) +2 3(0) +2 3(-1) +2 3(-3) + 2 B) False Name: _____________________ Period: _______ Date: ______ Patterns and Functions Directions: Circle the best choice for the following multiple choice questions. 1) What rule best describes this pattern? a) b) c) d) 9, 18, 36, 72 …… Extra Practice Each number is divided by 2 to get the next number. Each number is multiplied by 2 to get the next number. Each number is increased by 2 to get the next number. Each number is decreased by 2 to get the next number. 2) What rule best describes this pattern? 243, 81, 27, 9…. a) Each number is divided by 3 to get the next number. b) Each number is multiplied by 3 to get the next number. c) Each number is increased by 3 to get the next number. d) Each number is decreased by 3 to get the next number. 3) What rule best describes this pattern? 73, 64, 55, 46…. a) Each number is divided by 9 to get the next number. b) Each number is multiplied by 9 to get the next number. c) Each number is increased by 9 to get the next number. d) Each number is decreased by 9 to get the next number. 4) Give the rule for the following function table. X 42 54 72 12 a) Y 7 9 12 2 b) x + 6 = y c) 6x = y d) x – 35 = y 5) Find the output for each input of y = 4x + 2 if : a) b) X 0 5 6 10 Y 15 10 3 7 X 1 2 3 4 Y ? ? ? ? c) X 0 5 6 10 Y 7 8 9 10 X 1 2 3 4 Y 6 10 14 18 6) The table below lists four solutions of 5x + 2. What is the best choice to find the missing value? X 4 3 2 1 5x + 2 5(4) +2 5(3) +2 5(2) +2 5(1) + 2 Y 22 17 12 ? (X,Y) (4,22) (3,17) (2,12) (1, ?) a) 7 b) –7 c) 8 d) 13 7) The table below lists four solutions of 3x + 1. What is the best choice to find the missing value? X 5 4 3 2 a) 3 b) 7 c) 11 d) 6 3x + 1 3(5) +1 3(4) +1 3(3) +1 3(2) + 1 Y 16 13 10 ? (X,Y) (5,16) (4,13) (3,10) (2, ?) Name: ____Answer Key___________ Period:_______ Date: ________ Patterns and Functions Directions: Circle the best choice for the following multiple choice questions. 1) What rule best describes this pattern? a) b) c) d) Extra Practice 9, 18, 36, 72 …… Each number is divided by 2 to get the next number. Each number is multiplied by 2 to get the next number. Each number is increased by 2 to get the next number. Each number is decreased by 2 to get the next number. 2) What rule best describes this pattern? 243, 81, 27, 9…. a) Each number is divided by 3 to get the next number. b) Each number is multiplied by 3 to get the next number. c) Each number is increased by 3 to get the next number. d) Each number is decreased by 3 to get the next number. 3) What rule best describes this pattern? 73, 64, 55, 46…. a) Each number is divided by 9 to get the next number. b) Each number is multiplied by 9 to get the next number. c) Each number is increased by 9 to get the next number. d) Each number is decreased by 9 to get the next number. 4) Give the rule for the following function table. X 42 54 72 12 a) Y 7 9 12 2 b) x + 6 = y d) x – 35 = y c) 6x = y 5) Find the output for each input of y = 4x + 2 if : a) b) X 0 5 6 10 Y 15 10 3 7 X 1 2 3 4 Y ? ? ? ? c) X 0 5 6 10 Y 7 8 9 10 X 1 2 3 4 Y 6 10 14 18 6) The table below lists four solutions of 5x + 2. What is the best choice to find the missing value? X 4 3 2 1 5x + 2 5(4) +2 5(3) +2 5(2) +2 5(1) + 2 Y 22 17 12 ? (X,Y) (4,22) (3,17) (2,12) (1, ?) a) 7 b) -7 c) 8 d) 13 7) The table below lists four solutions of 3x + 1. What is the best choice to find the missing value? X 5 4 3 2 a) 3 b) 7 c) 11 d) 6 3x + 1 3(5) +1 3(4) +1 3(3) +1 3(2) + 1 Y 16 13 10 ? (X,Y) (5,16) (4,13) (3,10) (2, ?) Name: _____________________________ Period: _______ Date: __________ Study Guide Test Next Class! Part 1 Ratios 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: Part 4 Function Tables 13) 14) Part 5 Semester Mixed Review. Keeping our skills current! 15) What is the sum of 8 and (–10)? _____________ ______ 16) Which equation represents the Zero Property of Multiplication? A. n + 0 = n B. n + 0 = 0 C. n 0 = 0 ______ 17) 1.52 will convert to what number? A. B. 15.2% C. 152% Step 1 _ ____ 18) What is the solution of: A. B. 38 C. 7 7m – 16 = 33 D. 2 D. n 0 = n D. Both A and C Step 2 Name: ____Answer Key____________ Period: _______ Date: __________ Study Guide Test Next Class! Part 1 Ratios 1) What is the ratio of smiley faces to frowny faces three different ways? 6 to 4 6:4 4 2) Write this ratio in simplest form __4___ to __25___ __4__ : __25___ 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. 9) Solve the proportion. Part 3 = = 8b = 3600 4x = 384 x = 96 x = 450 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. 33 miles per hour 23 points in one game 12) Express the rate as a unit cost. $104.99 for 12 CD’s. Round to nearest cent! Remember: = 8.749166667 = $8.75 for one cd Part 4 Function Tables 13) Case21 Part 5 14) Case21 Semester Mixed Review. Keeping our skills current! 15) What is the sum of 8 and (–10)? _____________ –2 C_____ 16) Which equation represents the Zero Property of Multiplication? A. n + 0 = n B. n + 0 = 0 C. n 0 = 0 D_____ 17) 1.52 will convert to what number? A. B. 15.2% C. 152% Step 1 C ____ 18) What is the solution of: A. B. 38 C. 7 7m – 16 = 33 D. 2 MCT (ST2) D. n 0 = n CA D. Both A and C Step 2 CA

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