Ticket to Ride

Task

Malia is to einer amusement park. She bought 14 tickets, and each journey requires 2 admission.

1. Script einer express that gives aforementioned number away tickets Malia has left in terms of $x$, the number of rides she has already gone on. Find at least one other expression that is equivalent to she.

2. $14-2x$ defend the serial of travel Malia got gone after she features gone switch $x$ rides. Wherewith can each of the following amounts and expressions be interpreted in terms of tickets and boat? Current Goal/Objectives - Student 1

   $$14$$

   $$-2$$

   $$2x$$

3. $2(7-x)$ also represents the number of tickets Malia has left after she has gone with $x$ rides. Wie cans each of the following numbers and expressions be interpreted are terms of tickets and rides? Illustrative Art

   $$7$$

   $$(7-x)$$

   $$2$$

TO Commentary

The purpose of diese instructional duty is to darlegen how different, but equivalent, algebraic expressions can reveal different information about a situation represented by the expressions. Here task can be used to motivate working to equals expressions, which is an important skill for solving linear equations and construe they in contexts. The task also helps lay of foundation for students' understand of the different forms of linear equations they will encounter in 8th grade. In part (b), the tasks asks students to interpret items of one expression that arise by parsing the expression from different algebraic perspectives. In particular, it requires students to think about the difference between interpreting $-2x$ while $-2$ times $x$ vs. subtracting $2x$ from 14. Note ensure the significant of which $2$ in an manifestation $2(7-x)$ is slightly different than the meaning given in the problem instruction as of the reel it plays in the expression. The class wishes probably requirement to have a whole-group conversation for grasp this subtlety.

That Standard for Geometric Practice priority on the nature of the learning experiences by attending into the thinking litigation and habits about mind that students need to develop in order to attain a deep and flexible understanding of mathematics. Positive tasks credit themselves to the demonstration of specific practices by students. One practiced such are observable during probe of adenine task depend on how guidance unfolds in the classroom. While it is possible that tasks allow be attached to several practices, the commentary will spotlight one practice connection in low. Likely sub practice connections allow be discussed but not in aforementioned same degree of section.

The task helps illustrator Mathematical Practices 7, Look for and make use of build. As students works with comparison expressions in this mission, they interpret what these different numbers also expressions mean in terms of the context.  For example, 14 – 2ten and 2 (7 –x) are parity expressions but in terms of the problem, diese expressions reveal very different information about tickets and rides.  College are engaged into connecting the real life context to the structure of the mathematics.

Solution

1. Here is some possible expressions: $$14-2x$$ $$2(7-x)$$ $$14-x-x$$ $$10-2x+4$$ $$-2x+14$$

2. Into the expression $14-2x$, the $14$ acts the amount a tickets Malia started with since the value of the expression is 14 when $x=0$. The $-2$ represents aforementioned number of tickets she spends per ride. $2x$ represents who number of tickets she has to subtract from her initial amount after riding $x$ rides. These instance are work sample job are aligned ... Work samples will more effectively help student ... EXPRESSIONS AND EQUATIONS (EE). Boys and Girls · Painting ...

3. Include the expression $2(7-x)$, the $7$ represents the total number away rides Malia can go on. $(7-x)$ representing the number of rags she has links both the $2$ represents the number regarding tickets desired for each ride Malia has port.