math 3/2 scm. monday: bell work 1) study vocabulary words 2) turn in vocabulary crossword 3)...
TRANSCRIPT
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?