Math 7 th grade 3/16-3/20. Monday: BELL WORK *SHOW WORK Use notebook paper and create the bell work...
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Transcript of Math 7 th grade 3/16-3/20. Monday: BELL WORK *SHOW WORK Use notebook paper and create the bell work...
![Page 1: Math 7 th grade 3/16-3/20. Monday: BELL WORK *SHOW WORK Use notebook paper and create the bell work grid Make sure you put the correct letter DateWorkAnswer.](https://reader036.fdocuments.net/reader036/viewer/2022062423/56649e9f5503460f94ba20a8/html5/thumbnails/1.jpg)
Math 7th grade3/16-3/20
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Monday: BELL WORK *SHOW WORK
Use notebook paper and create the bell work grid
Make sure you put the correct letter Date
Work Answer
3/16
3/17
3/18
3/20
*show work- do not just write down an answer
Ramona scored 84% on her math test.Bryan correctly answered _ 4/5 of the test questions. Tori scored 44 out of 50.Rance completed 0.86 of thequestions correctly. Each test question is worth the same amount. Who has the best score?
F RamonaG BryanH ToriJ Rance
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AGENDA
•1- bell work•2- Agenda-•Review Quiz•Review Benchmark3- Objective
•4- lesson review recent tests/ go over project•5- exit ticket
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OBJECTIVE
All skills
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Benchmark We will review the skills from the
benchmark that we tested on. Please have your test copy out as we review the test.
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Benchmark
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Test We will review the skills from the test
that we tested on. Please have your test copy out as we review the test.
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Project
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EXIT TICKET
Discuss with your partner
What skills did you need for the need 2 know?
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Tuesday: BELL WORK *SHOW WORK
Use notebook paper and create the bell work grid
Make sure you put the correct letter
*show work- do not just write down an answer
The area of a square field is14,400 square feet, as shown below.What is the length of one side ofthe field?A = 14,400 ft2F 100 feetG 110 feetH 112 feetJ 120 feet
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Objective
7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
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Area
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Lesson:
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Since all sides of the square are the same you can “square” your number
4 ft
To find the area multiply length and width
4 x 4
Or you can square it
42
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7 ft
72 = 49
49 ft2
Be sure to include units of measure!! Since it is area you need to square the units.
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12 m
4.5 in
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Now that you can find area- let’s undo it!!
Area is 25 ft 2
What is one side???
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Now that you can find area- let’s undo it!!
Area is 25 ft 2
What is one side???
What operation would you use to undo a square- the square root!!!
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The square root of a number is a value that, when multiplied by itself, gives the number.
Example: 4 × 4 = 16, so a square root of 16 is 4.
The symbol is √
Another example: √36 = 6 (because 6 x 6 = 36)
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Now that you can find area- let’s undo it!!
Area is 25 ft 2
What is one side???
√25 = 5
Therefore one side is 5 ft.
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Area = 81 sq in
Area = 36 sq m
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Area = 81 sq in
Now that you found the side
Length is 9 in.
What is the perimeter???
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Area = 81 sq in
Now that you found the side
Length is 9 in.
What is the perimeter???
9 x 4 = 36 in
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Try this one
Step 1: find the side lengthStep 2: find the perimeter
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Lesson: Triangles
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Trapezoids
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Objective
7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
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Wednesday: BELL WORK *SHOW WORK
*show work- do not just write down an answer
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Bell Work-Wednesday
Have out WB pg. 60…if you have lost your workbook grab a copy of the page from the front and start working on it.
Get a red pen out.
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Changing Dimensions
Recall that similar figures have proportional side lengths. The surface areas of similar three-dimensional figures are also proportional. To see this relationship, you can compare the areas of corresponding faces of similar rectangular prisms.
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The surface Area of a box is 10.4 cm2. What is the surface area of a similar box that is larger by a scale factor of 3?
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The surface Area of a box is 10.4 cm2. What is the surface area of a similar box that is larger by a scale factor of 3?
Formula surface area = surface area
x (scale factor) 2
of figure b of figure a(new figure) (old figure)
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The surface Area of a box is 10.4 cm2. What is the surface area of a similar box that is larger by a scale factor of 3?
Formula surface area = surface area
x (scale factor) 2
of figure b of figure a(new figure) (old figure)
______ = 10.4 x 32
New figure would be 93.6cm2 **keep units
the same
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The volume of an ice chest is 2,160 in. What is the volume of a similar ice chest that is larger by a scale factor of 2.5?
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The volume of an ice chest is 2,160 in. Wah is the volume of a similar ice chest that is larger by a scale factor of 2.5?
Formula Volume = volume x (scale
factor) 3
of figure b of figure a(new figure) (old figure)
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The volume of an ice chest is 2,160 in. Wah is the volume of a similar ice chest that is larger by a scale factor of 2.5?
Formula Volume = volume x (scale factor) 3
of figure b of figure a(new figure) (old figure)
______ = 2,160 x 2.53
New figure would be 33,750in3 **keep units the same
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reminders
When doing area (including surface area), keep in mind it is a 2 dimensional shape. Therefore, you use a square your scale factor. **give it an exponent of 2
When doing volume, keep in mind it is a 3 dimensional shape. Therefore, you use a cube your scale factor. **give it an exponent of 3
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Homework Check 1) 10.4 x 32 = 93.6 cm2
2) 11,000 x 1/1502 = 0.5 m2
3) 2160 x 2.53 =33,750cm3
4) Volume of original: (14x 13 x 10= 1820) volume of new tank (1820 x 3 = 49140)
1820 x 1/231 ≈ 8 49140 x 1/231 ≈ 213 213 -208 ≈ About 205 gal
5) 13.99 x 42 = 223.84 in2
6) 200 x 1/12 2 = 1.4 ft2
7) 523 x ¼3 =8.2 cm3
8) Volume of original: (27 x 9 x 12= 2916) volume of new tank (2916 x 1/3 = 108)
2916 x 1/231 ≈ 13 108 x 1/231 ≈ 1 13 - 1 ≈ About 12 gallons
9) 4 x 5 x 2 = 40 3 x 5 x 2 = 30 3 x 4 x 2 = 24 40 + 30+ 24 = 94
94 x 252 = 58,750ft2 ( Surface area ) 3 x 4 x 5 = 60 60 x 253 = 937,500 ft3 (volume )