Fifth Grade Curriculum Representing Rules/Patterns/Equations Table of Contents Topic Page Relationships Lesson Goals Relationship Games: Mental Math Riddles Telephone Line Telephone Line Message Cards Solving Silly Stories Solving Silly Equations Vocabulary Flashcards Relationship Lesson Creature Activity Cards Create-A-Monster Extension Cards Relationships in Tables Guided Practice Substitution Strategy Guided Practice 1 2 3 4 - 7 8 - 9 10-11 12 - 18 19 – 21 22 – 26 27 28 – 30 31 – 33 34 – 37 38 – 39
RECEIVED: __________ MESSAGE: Decrease it by ____! SEND: ___________ RECEIVED: __________ MESSAGE: ___ fewer than it! SEND: ___________ RECEIVED (R): _________ MESSAGE: R-2 SEND: ___________ RECEIVED (R): _________ MESSAGE: R - 10 SEND: ___________ RECEIVED: __________ MESSAGE: Find the difference of it and 1! SEND: ___________ RECEIVED (R): _________ MESSAGE: R - SEND: ___________
RECEIVED: __________ MESSAGE: Find the product of it and 3! SEND: ___________ RECEIVED: __________ MESSAGE: Three times it! SEND: ___________ RECEIVED: __________ MESSAGE: Four times it! SEND: ___________ RECEIVED: __________ MESSAGE: Triple it! SEND: ___________
Note: It is important to remind students that this is about the relationship between the sizes of body parts, not the number of body parts on creatures. If not reminded, students may become confused by the fact that each creature has 1 head and 2 arms. Head 1 6 9 Arm 4 12 28 48 The head is equal to 4 arms It is also important to state the inverse relationship: 1 arm is equal to ¼ of the head Complete the table with your students. Guide them through the process as needed. Now let’s take a look at another type of table. The carnival is offering bonus tickets with every purchase of carnival tickets. The table below shows the different numbers of tickets purchased and the number of bonus tickets that are given. Purchased Tickets (P) Bonus Tickets (B) 3 9 8 15 25 22 28 33 45 81 Guide the students to write an equation that shows the relationship between the 2 sets of data. The number of tickets purchased + 6 = The number of bonus tickets (P + 6 = B) The inverse relationship can also be written as: The number of bonus tickets – 6 = The number of tickets purchased (B - 6 = P)
S = B + 28 Since students will write the relationship between the 2 sets of numbers two ways, they should be able to select the correct answer. Students can also use the same substitution strategy to show the correct answer. = 8 x 4 B = 8 x S F 6 = 48 + 28 B = S + 28 F 48 = 8 x 6 S = 8 x B T 48 = 6 + 28 S = B + 28 F Please note that as the year progresses the numbers will become larger making them more difficult. In the beginning of the year, we will be using relationships that only use facts up to 12. Guided Practice Problems Steven and his friends were at a carnival. They had to buy tickets to get on the rides. The table below shows the relationship between the price of the tickets and the total number of tickets. Which statements about the relationship between the price and the total number of tickets are true? Price $5 $15 $20 $30 $35 Total Number of Tickets 10 30 40 60 70 Us the substitution strategy to determine if each statement is true or not true about the table. The price is half the total number of tickets.