Lesson: Function rules from a table

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Lesson Objective

I can write function rules from a table

Lesson Plan

Standard

6.PRA.8 - Recognize when information given in a table, graph, or formula suggests a proportional or linear relationship.

6.PRA.9 - Produce and interpret graphs that represent the relationship between two variables (x and y) in everyday situations

Objective

Essential Question

SWBAT write function rules from a table with 80% accuracy.

Explain how patterns suggest a relationship. What kind of relationships do they suggest? Justify.

 

 

 

 

Lesson Agenda

Agenda Item/ Time (Board Configuration)

 5 E’s

Learning Activities

 

 

Teacher will do…

Students will do …

10 minutes

Daily Math Review (Warm-Up/ Do Now)

Solve each equation

  1. X + 4 = -6
  2. A + (-3) = 17
  3. 7t = 112
  4. 36 + 2p = 118
  5. Complete the following equation with one operation followed by one number

2 ____   ______ = 12

Complete the Daily Review problems

5 minutes

Mental Math

Verbally give students the Mental Math Problem

Respond verbally with an answer

15 minutes

Engage

 

 

Introduce the idea of functions as machines, by leading a class

 

discussion

http://www.shodor.org/interactivate1.0/discussions/fd1.html

 

 

 

on functions.

Actively listening and participating in the class discussion

 

 

 

 

15 minutes

 

 

Explain

(Guided Practice)

A function is a relationship that assigns exactly one output value for each input value.  The variables x and y are often used to represent input and output.  Output = Input 

Present the following table to students:

x

y

0

1

1

5

2

9

3

13

Lead a discussion with students on how to determine the pattern for the input (x) and output (y).   

 

Actively listening and trying to determine the function rule of the table

 

15 minutes

 

 

Explore (Conceptual Development)

On index cards have a function table and a matching pattern for x and y.  Distribute index cards to students. 

Find their match, but before doing so they must determine the pattern (if they have the table) and if they have the pattern construct the table. 

 

15 minutes

 

 

Extend/ Elaborate

 

Assign students practice problems to complete (problems 1- 21 odd)

Prentice Hall  Course 2 Chapter 9 Section 4- Function Rules: pg. 454 Exercises

 

 

15 minutes

 

Evaluate

(Assessment/ Closure)

Write a rule for each sequence. Then find the next three terms

  1. 7, 14, 21, 28
  2. -4, 12, -36, 108

For exercise 3-5 use the table

  1. Find the values of m and n
  2. 4. Write a rule for the function
  3. Find the value of y for x = 11

x

y

 2

7

4

13

5

M

7

22

n

28

 

Responded to the question

Homework

 

Workbook: Pg. 153

 

Core
Vocabulary

 

 

Input, output, function rule

 

Lesson
Differentiation

 

 

 

 

Lesson Resources

6 PRA8functions  
1,363

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