geometry - miami-dade county public...
TRANSCRIPT
![Page 1: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/1.jpg)
GEOMETRYSCALE
![Page 2: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/2.jpg)
Racquel drew a picture of her school. She
used the scale 1cm:3m. Her drawing is
61cm long. What is the length, in meters,
of the actual school?
![Page 3: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/3.jpg)
Solve as a proportion
Step 1:
Write the scale as a fraction
1cm : 3 m =1𝑐𝑚
3𝑚
Step 2:
Create a proportion with similar units in the same position
1𝑐𝑚
3 𝑚=
61 𝑐𝑚
𝑥 𝑚
Drop the units and solve
![Page 4: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/4.jpg)
1 cm = 3 m
=
=
= (3• 61)
= 183
The actual lngth of the school is 183 m
![Page 5: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/5.jpg)
NOW TRY THIS
Lisa drew the picture of a boat. She used the
scale 1inch = 8ft. Her picture is 7.25 inches
long. What is the length, in feet, of the actual
boat?
![Page 6: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/6.jpg)
=
=
= (8 • 7.25)
= 58
The actual length of the boat is 58 feet
![Page 7: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/7.jpg)
DAY 2
A fence is shown on a blueprint and has sides of
17 cm, 15 cm, 18 cm, and 19 cm. If the scale on
the blueprint is 2 cm: 5 m, what is the total
length of the fence?
![Page 8: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/8.jpg)
Solution2 cm = 5m
2 𝑐𝑚
5 𝑚=
17𝑐𝑚
𝑥 𝑚
2 𝑐𝑚
5 𝑚=
15 𝑐𝑚
𝑥 𝑚
2 𝑐𝑚
5 𝑚=
18 𝑐𝑚
𝑥 𝑚
2 𝑐𝑚
5 𝑚=
19 𝑐𝑚
𝑥 𝑚
2𝑥 = (5 • 17) 2𝑥 = (5 • 15) 2𝑥 = (5 • 18) 2𝑥 = (5 • 19)
2𝑥 = 85 2𝑥 = 75 2𝑥 = 90 2𝑥= 95
2𝑥
2=
85
2
2𝑥
2=
75
2
2𝑥
2=
90
2
2𝑥
2=
95
2
𝑥 = 42.5 𝑥 = 37.5 𝑥 = 45 𝑥 = 47.5
Total length = (42.5 + 37.5 + 45 + 47.5) m = 172.5
The total length of the fence is 172.5 m
![Page 9: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/9.jpg)
DAY 3
•Find the area of the figure below
![Page 10: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/10.jpg)
Divide the figure into two known shapes
7 in
6 in
3 in
6 in
Find the area of each shape and add the areas.
![Page 11: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/11.jpg)
7 in
6 in
Area = bh
= (7 • 6) sq. in= 42 sq. in
3in
6 in
Area = 1
2bh
= (1
2• 3 • 6) sq. in
= 9 sq. inArea = (42 + 9 ) sq. in = 51 sq. in
Area of the figure is 51 sq. in
![Page 12: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/12.jpg)
DAY 4
![Page 13: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/13.jpg)
Divide the figure into two known shapes
7 in
6 in
3 in
6 in
Next find the actual measurement of each shape.
Then find the area of each figure.
Finally add the areas.
![Page 14: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/14.jpg)
7 in = 63 yd
1 in = 9 yd
6 in = 54 yd Area = bh
= (63 • 54) sq. yd= 3402 sq. yd
3 in = 27 yd
6 in = 54 ydArea =
1
2bh
=1
2(54•27)sq. yd
= 729 sq. yd
Area of figure in square yards is (3402 + 729) 5131 square yards.
![Page 15: GEOMETRY - Miami-Dade County Public Schoolsteachers.dadeschools.net/rvancol/GKMathStorage/GeometryScale.pdfHer drawing is 61cm long. What is the length, in meters, of the actual school?](https://reader036.vdocuments.mx/reader036/viewer/2022081615/5fd3d743afc9142150314931/html5/thumbnails/15.jpg)
NB: Remember you could not find the are in
inches and multiply by 9. Area is two
dimensional.
If you found the area in inches, instead of
multiplying by 9, you would have to multiply
by (9• 9, 81
That is, 51 sq in • 81 = 4131 sq. inches