math 7 th grade 3/16-3/20. monday: bell work *show work use notebook paper and create the bell work...

Math 7th grade3/16-3/20

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

AGENDA

•1- bell work•2- Agenda-•Review Quiz•Review Benchmark3- Objective

•4- lesson review recent tests/ go over project•5- exit ticket

OBJECTIVE

All skills

Benchmark We will review the skills from the

benchmark that we tested on. Please have your test copy out as we review the test.

Benchmark

Test We will review the skills from the test

that we tested on. Please have your test copy out as we review the test.

Project

EXIT TICKET

Discuss with your partner

What skills did you need for the need 2 know?

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

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.

Area

Lesson:

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

7 ft

72 = 49

49 ft2

Be sure to include units of measure!! Since it is area you need to square the units.

12 m

4.5 in

Now that you can find area- let’s undo it!!

Area is 25 ft 2

What is one side???

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!!!

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)

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.

Area = 81 sq in

Area = 36 sq m

Area = 81 sq in

Now that you found the side

Length is 9 in.

What is the perimeter???

Area = 81 sq in

Now that you found the side

Length is 9 in.

What is the perimeter???

9 x 4 = 36 in

Try this one

Step 1: find the side lengthStep 2: find the perimeter

Lesson: Triangles

Trapezoids

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.

Wednesday: BELL WORK *SHOW WORK

*show work- do not just write down an answer

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.

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.

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?

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)

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

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?

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)

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

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

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 )