1. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 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 ________. 19 + 5 23

2. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 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 28 410 Functions xy 26 412 y  x  6y  x  6 “add 6 ” Given 2 8 y  3xy  3x “ multiply by 3 ” Given 2 6

3. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 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 – 5 1 3 5 8 x y 1 3 5 8 x y 0 1 2 5 x y 0 1 2 5 x y 4 5 6 7 x y 4 5 6 7 x y  3 4 6 8 11  5 6 8 10  5 13 2 0 2 2 2 4 2 10 4 0 4 4 4 8 4 20 – 6 -2 – 6 – 6 0 1 – 5 – 5 0 1 2 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

4. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 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 25 47 xy 15 210 xy 37 6 xy 73 6 xy 16 27 xy 28 416 xy 82 104 xy 28 4 + 4 + 6 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.

5. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 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

6. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 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  2 2 5 7 12 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 26 39 412 Thomas says the rule for the function table is “the value of x plus 4”. Explain why he is incorrect. _____________________________________________________________________________ _____________________________________________________________________________ Skill Closure 0 3 5 10 x y  2

7. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 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 – 3 1 3 8 10 x y 0 3 5 7 x y 1 2 3 4 x y 4. Which table represents the values of x and y when y = x + 9? AB CD xy 312 615 xy 327 436 xy 123 156 xy 2-7 4-5 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) + 8 9 11 + 8 16 + 8 18 3 0 3 9 3 15 3 21 – 3 -2 – 3 – 3 0 1 + 9 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

8. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 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 – 4 3 7 13 18 x y 9 12 17 18 x y 3 8 10 11 x y 6 10 12 13 x y 0 1 2 x y -2 0 1 x y + 6 9 13 + 6 19 + 6 24 + 1 10 + 1 13 + 1 18 + 1 19 5 15 5 40 5 50 5 55 10 60 100 120 130 – 1 -2 – 1 – 1 0 1 – 4 -6 – 4 -5 – 4 -4 – 4 -3 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: Complete the function table using the rule. Evaluate the equation of a function.

9. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 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 312 413 xy 14 1014 xy 520 832 xy 416 525 xy 4 38 xy 61 122 xy 73 40 xy 2-3 4 4 4 4 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: Identify the function table that correctly uses the rule. (circle) Evaluate the equation of a function.

10. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 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 – 10 6 11 21 27 x y 16 22 35 51 x y 3 6 9 11 x y 2 7 8 x y 2 3 6 7 x y 4 5 10 12 x y + 10 16 + 10 21 + 10 31 + 10 37 + 4 20 + 4 26 + 4 39 + 4 55 6 18 6 36 6 54 6 66 11 22 11 77 11 88 11 121 – 6 -4 – 6 -3 – 6 0 1 – 10 -6 – 10 -5 – 10 0 2 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.

11. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 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 617 213 xy 444 222 xy 718 511 xy 516 444 xy 4060 40 xy 3020 7050 xy 0-20 10-10 xy 240 480 + 11 - 20 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.

12. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 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 – 7 20 10 41 54 x y 2 30 15 5 x y 0 3 9 12 x y 0 1 2 3 x y -2 0 1 x y 7 0 1 x y + 9 29 + 9 19 + 9 50 + 9 63 +20 22 +20 50 +20 35 +20 25 100 0 300 100 900 100 1200 -3-3 0 -3-3 -3 -3-3 -6 -3-3 -9 – 2 -4 – 2 -3 – 2 -2 – 2 – 7 0 -7 – 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.

13. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 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 4530 150 xy 4560 75 xy 230 345 xy 6075 1015 xy 110 220 xy 2-8 4-6 xy 880 10100 xy 4-40 8-80 +15 (-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.

14. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2011 All rights reserved. Comments? feedback@dataworks-ed.com 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