MATH 3/2 SCM. MONDAY: BELL WORK 1) study vocabulary words 2) turn in vocabulary crossword 3)...

MATH 3/2 SCM

MONDAY: BELL WORK

1) study vocabulary words

2) turn in vocabulary crossword

3) complete the vocabulary quiz

4) complete the variation retake * must be done at the end of class

5) Complete math workbook page 83 *do for homework if needed

6) If done with everything else, you may read of work on something else.

TUESDAY: BELL WORK *SHOW WORK

Use notebook paper and create the bell work grid

Make sure you put the correct letter Date Work Answer

3/3

3/4

3/5

3/6

*show work- do not just write down an answer

AGENDA

•1- bell work

•2- Agenda-• *Vocabulary Quiz on Monday 3/2•Quiz over Area and Dimensions 3/6•Benchmark on Friday 3/13

•3- Objective

•4- lesson *Changing Dimensions HW p. 623 #1-9 • **for #s 4 & 8- it will require multiple steps- use example 3 for help!!

•5- exit ticket

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.

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. WAH 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

EXIT TICKET

Discuss with your partner

What does it mean to change dimensions?

WEDNESDAY: BELL WORK *SHOW WORK

Use notebook paper and create the bell work grid

Make sure you put the correct letter Date Work Answer

3/3

3/4

3/5

3/6

*show work- do not just write down an answer

AGENDA

•1- bell work

•2- Agenda-•Quiz over Area and Dimensions 3/6•Benchmark on Friday 3/13

•3- Objective

•4- lesson *Changing Dimensions- WB p. 93

•5- exit ticket

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.

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 )

EXIT TICKET

Discuss with your partner

Why do we use an exponent of 3 for volume?

THURSDAY: BELL WORK *SHOW WORK

Use notebook paper and create the bell work grid

Make sure you put the correct letter Date Work Answer

3/3

3/4

3/5

3/6

*show work- do not just write down an answer

AGENDA

•1- bell work

•2- Agenda-•Quiz over Area and Dimensions 3/6•Benchmark on Friday 3/13

•3- Objective

•4- Check WB page

•5- lesson *N2K and review for quiz

•6- exit ticket

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.

NEED 2 KNOWCritical Thinking:

Solve for the width

Circle answer and SHOW YOUR WORK!!!

Constructed Response:

Identify the scale factor that is used within the problem.

**remember to label your units

Inch = inch inch = foot

**look at the critical thinking question for a hint on scale

EXIT TICKET

Discuss with your partner

What skills did you need for the need 2 know?

FRIDAY: BELL WORK *SHOW WORK

Use notebook paper and create the bell work grid

Make sure you put the correct letter Date Work Answer

3/3

3/4

3/5

3/6

*show work- do not just write down an answer

AGENDA

•1- bell work

•2- Agenda-•Quiz over Area and Dimensions 3/6•Benchmark on Friday 3/13

•3- Objective

•4- lesson *Quiz

•5- exit ticket

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.

QUIZ

Complete the quiz.

Get a copy of the new vocabulary words and glue in your composition notebook.

Read quietly

EXIT TICKET

Discuss with your partner

What did you struggle with on your test?