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 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 the questions correctly. Each test question is worth the same amount. Who has the best score? F Ramona G Bryan H Tori J Rance

AGENDA 1- bell work 1- bell work 2- Agenda- 2- Agenda- Review Quiz Review Quiz Review Benchmark Review Benchmark 3- Objective 4- lesson review recent tests/ go over project 4- lesson review recent tests/ go over project 5- exit ticket 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 is 14,400 square feet, as shown below. What is the length of one side of the field? A = 14,400 ft2 F 100 feet G 110 feet H 112 feet J 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 4 2

7 ft 7 2 = ft 2 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 length Step 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 cm 2. 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 cm 2. 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 3 2  New figure would be 93.6cm 2 **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  New figure would be 33,750in 3 **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 3 2 = 93.6 cm 2 2) 11,000 x 1/150 2 = 0.5 m 2 3) 2160 x =33,750cm 3 4) Volume of original: (14x 13 x 10= 1820) volume of new tank (1820 x 3 = 49140) 1820 x 1/231 ≈ x 1/231 ≈ ≈ About 205 gal 1820 x 1/231 ≈ x 1/231 ≈ ≈ About 205 gal 5) x 4 2 = in 2 6) 200 x 1/12 2 = 1.4 ft 2 7) 523 x ¼ 3 =8.2 cm 3 8) Volume of original: (27 x 9 x 12= 2916) volume of new tank (2916 x 1/3 = 108) 2916 x 1/231 ≈ x 1/231 ≈ ≈ About 12 gallons 2916 x 1/231 ≈ x 1/231 ≈ ≈ About 12 gallons 9) 4 x 5 x 2 = 40 3 x 5 x 2 = 30 3 x 4 x 2 = = x 25 2 = 58,750ft 2 ( Surface area ) 94 x 25 2 = 58,750ft 2 ( Surface area ) 3 x 4 x 5 = 60 3 x 4 x 5 = x 25 3 = 937,500 ft 3 ( volume ) 60 x 25 3 = 937,500 ft 3 ( volume )