DataWORKS Educational Research (800) ©2012 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. Learning Objective Name __________________________ Today, we will evaluate 1 the equation of a function. 1 find the value CFU What are we going to do today? What does evaluate mean? Evaluate means to ________. CFU Students, you already know how to find and use the rule of a pattern. These rules are also used when working with functions. Today, we will evaluate the equation of a function. Activate (or provide) Prior Knowledge A pattern rule is the operation and number used to create and extend 2 a pattern. 2 continue What is the pattern rule? What is the next number in the pattern? + 3 Pattern A 7, 10, 13, 16, ___ The pattern rule is ____ because ________. Pattern B 3, 8, 13, 18, ___ The pattern rule is ____ because ________

DataWORKS Educational Research (800) ©2012 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. CFU Which is the rule of the function y = x – 5 ? How do you know? A given x, add 5 B given x, subtract 5 Which is the rule of the function y = 4 x ? How do you know? A given x, divided by 4 B given x, multiply by 4 Concept Development An equation states 3 two expressions 4 are equal. A function is a rule to apply to a given value ( x ) to obtain a new value ( y ). The rule is the operation and number connected to the x variable. Example: y = x + 6 A function is often organized in a function table. 3 says or tells (mmw) 4 mathematical phrase with numbers and variables connected by operations (+,–,×,÷) y y x + 6x + 6 x + 6x + 6 = = xy Functions xy y  x  6y  x  6 “add 6 ” Given 2 8 y  3xy  3x “ multiply by 3 ” Given 2 6

DataWORKS Educational Research (800) ©2012 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice CFU (#1) How did I/you identify the function rule? (#2) How did I/you complete the function table using the rule? Step #1: Read the equation and identify the function rule. (hint: Say “the value of” before reading the variables.) Step #2: Complete the function table using the rule. 1. y  x  32. y  x  53. y  2 x 4. y  4 x 5. y  x  66. y  x – x y x y x y x y x y x y    – 6 -2 – 6 – – 5 – Evaluate the equation of a function. A function is a rule to apply to a given value ( x ) to obtain a new value ( y ). The rule is the operation and number connected to the x variable. Example: y = x + 6

DataWORKS Educational Research (800) ©2012 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice (continued) 7. Which table represents the values of x and y when y  x  4? 8. Which table represents the values of x and y when y  x  6? ABCDABCD CFU (#1) How did I/you identify the function rule? (#2) How did I/you identify the function table that correctly uses the rule? Step #1: Read the equation and identify the function rule. (hint: Say “the value of” before reading the variables.) Step #2: Identify the function table that correctly uses the rule. (circle) xy xy xy 37 6 xy 73 6 xy xy xy xy A function is a rule to apply to a given value ( x ) to obtain a new value ( y ). The rule is the operation and number connected to the x variable. Example: y = x + 6 Evaluate the equation of a function.

DataWORKS Educational Research (800) ©2012 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. 1. Evaluating the equation of a function will help you identify problems that use relationships between numbers. 2. Evaluating the equation of a function will help you do well on tests. CFU Does anyone else have another reason why it is relevant to evaluate the equation of a function? (pair-share) Why is it relevant to evaluate the equation of a function? You may give me one of my reasons or one of your own. Which reason is more relevant to you? Why? Relevance Bobby makes $10 per hour doing yard work. How much money will he make if he works 5 hours this weekend? A function is a rule to apply to a given value ( x ) to obtain a new value ( y ). The rule is the operation and number connected to the x variable. Example: y = x + 6

DataWORKS Educational Research (800) ©2012 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. 1. y  x  Summary Closure What did you learn today about evaluating the equation of a function? Day 1 ___________________________________________________________________________________ Day 2 ___________________________________________________________________________________ Constructed Response Closure A function is a rule to apply to a given value ( x ) to obtain a new value ( y ). The rule is the operation and number connected to the x variable. Example: y = x + 6 Step #1: Read the equation and identify the function rule. (hint: Say “the value of” before reading the variables.) Step #2: Complete the function table using the rule. Evaluate the equation of a function. xy Thomas says the rule for the function table is “the value of x plus 4”. Explain why he is incorrect. _____________________________________________________________________________ _____________________________________________________________________________ Skill Closure x y  2

DataWORKS Educational Research (800) ©2012 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. Independent Practice Name ___________________________ 1. y  x  82. y  3 x 3. y  x – x y x y x y 4. Which table represents the values of x and y when y = x + 9? AB CD xy xy xy xy Step #1: Read the equation and identify the function rule. (hint: Say “the value of” before reading the variables.) Step #2: Complete the function table using the rule. Step #1: Read the equation and identify the function rule. (hint: Say “the value of” before reading the variables.) Step #2: Identify the function table that correctly uses the rule. (circle) – 3 -2 – 3 – A function is a rule to apply to a given value ( x ) to obtain a new value ( y ). The rule is the operation and number connected to the x variable. Example: y = x + 6 Evaluate the equation of a function

DataWORKS Educational Research (800) ©2012 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. Periodic Review 1 Name ___________________________ 1. y  x  62. y  x  13. y  5 x 4. y  10 x 5. y  x – 16. y  x – x y x y x y x y x y x y – 1 -2 – 1 – – 4 -6 – 4 -5 – 4 -4 – A function is a rule to apply to a given value ( x ) to obtain a new value ( y ). The rule is the operation and number connected to the x variable. Example: y = x + 6 Step #1: Read the equation and identify the function rule. (hint: Say “the value of” before reading the variables.) Step #2: Complete the function table using the rule. Evaluate the equation of a function.

DataWORKS Educational Research (800) ©2012 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. 7. Which table represents the values of x and y when y  4 x ? 8. Which table represents the values of x and y when y  x – 5? ABCDABCD Periodic Review 1 (continued) xy xy xy xy xy 4 38 xy xy xy – A function is a rule to apply to a given value ( x ) to obtain a new value ( y ). The rule is the operation and number connected to the x variable. Example: y = x + 6 Step #1: Read the equation and identify the function rule. (hint: Say “the value of” before reading the variables.) Step #2: Identify the function table that correctly uses the rule. (circle) Evaluate the equation of a function.

DataWORKS Educational Research (800) ©2012 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. Periodic Review 2 Name ___________________________ 1. y  x  102. y  x  43. y  6 x 4. y  11 x 5. y  x – 66. y  x – x y x y x y x y x y x y – 6 -4 – 6 -3 – – – – A function is a rule to apply to a given value ( x ) to obtain a new value ( y ). The rule is the operation and number connected to the x variable. Example: y = x + 6 Step #1: Read the equation and identify the function rule. (hint: Say “the value of” before reading the variables.) Step #2: Complete the function table using the rule. Evaluate the equation of a function.

DataWORKS Educational Research (800) ©2012 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. 7. Which table represents the values of x and y when y  x  11? 8. Which table represents the values of x and y when y  x – 20? ABCDABCD Periodic Review 2 (continued) xy xy xy xy xy xy xy xy A function is a rule to apply to a given value ( x ) to obtain a new value ( y ). The rule is the operation and number connected to the x variable. Example: y = x + 6 Step #1: Read the equation and identify the function rule. (hint: Say “the value of” before reading the variables.) Step #2: Identify the function table that correctly uses the rule. (circle) Evaluate the equation of a function.

DataWORKS Educational Research (800) ©2012 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. Periodic Review 3 Name ___________________________ 1. y  x  92. y  x  203. y  100 x 4. y  -3 x 5. y  x – 26. y  x – x y x y x y x y x y x y – 2 -4 – 2 -3 – 2 -2 – 2 – – 7 -6 – 7 -8 A function is a rule to apply to a given value ( x ) to obtain a new value ( y ). The rule is the operation and number connected to the x variable. Example: y = x + 6 Step #1: Read the equation and identify the function rule. (hint: Say “the value of” before reading the variables.) Step #2: Complete the function table using the rule. Evaluate the equation of a function.

DataWORKS Educational Research (800) ©2012 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write the equation; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. 7. Which table represents the values of x and y when y  x  15? 8. Which table represents the values of x and y when y  -10 x ? ABCDABCD Periodic Review 3 (continued) xy xy xy xy xy xy xy xy (-10) A function is a rule to apply to a given value ( x ) to obtain a new value ( y ). The rule is the operation and number connected to the x variable. Example: y = x + 6 Step #1: Read the equation and identify the function rule. (hint: Say “the value of” before reading the variables.) Step #2: Identify the function table that correctly uses the rule. (circle) Evaluate the equation of a function.

DataWORKS Educational Research (800) ©2011 All rights reserved. Comments? 5 th Grade Algebra & Functions 1.5 (5Q) Solve problems involving linear functions with integer values; write equations; and graph the resulting ordered pairs of integers on a grid. Lesson to be used by EDI-trained teachers only. Blank Page