The first example has students building upon the previous lesson by applying the scale factor to find missing dimensions. This leads into a discussion of whether this method is the most efficient and whether they could find another approach that would be simpler, as demonstrated in Example 2. Guide students to record responses and additional work in their student materials.
§ How can we use the scale factor to write an equation relating the scale drawing lengths to the actual lengths?
!
ú Thescalefactoristheconstantofproportionality,ortheintheequation=or=!oreven=
MP.2 ! whereistheactuallength,isthescaledrawinglength,andisthevalueoftheratioofthe drawing length to the corresponding actual length.
§ How can we use the scale factor to determine the actual measurements?
ú Divideeachdrawinglength,,bythescalefactor,,tofindtheactualmeasurement,x.Thisis
! illustrated by the equation = !.
§ How can we reconsider finding an actual length without dividing?
ú We can let the scale drawing be the first image and the actual picture be the second image. We can calculate the scale factor that relates the given scale drawing length, , to the actual length,. If the actual picture is an enlargement from the scale drawing, then the scale factor is greater than one or
> 1. If the actual picture is a reduction from the scale drawing, then the scale factor is less than one or < 1.
Scaffolding:
A reduction has a scale factor less than 1, and an enlargement has a scale factor greater than 1.
Lesson 18: Computing Actual Lengths from a Scale Drawing.
First, find a common denominator (preferably the LCD): 8 and 6 both factors of 24, which is also the LCM, so we'll use that.
Second, manipulate the numerators so that the fractions are equivalent to the ones you started-out with: In order to make 7/8 equal to a fraction that has a denominator of 24, we have to multiply the numerator by 3, since we multiplied the denominator by 3 to make it 24. We will do the same process for the fraction 4/6.
Thus far, we should have 21/24 plus 16/24.
Next, all we have to do is add the numerators together, and keep the denominator. You should end-up with 37/24. If your teacher doesn't want an improper fraction, we can simplify this by dividing 37 by 24, which gives us 1, and then subtracting 24 from 37 in order to find-out how many twenty-fourths we have left over. Since this is equal to 13, the mixed-number form of the answer would be 1 13/24 ("one and thirteen twenty-fourths").
9514 1404 393
Answer:
88 = 8m
Step-by-step explanation:
The product of 8 and m (which represents Mabel's score) is written <em>8m</em>. We are told that is equal to 88.
88 = 8m
Answer:
5
Step-by-step explanation:
