### Document

```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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