math week of jan 5 th -core/grade-7/7_g- geometry/a/1/scale-map-distance- example
TRANSCRIPT
Math Week of Jan 5th
http://www.virtualnerd.com/common-core/grade-7/7_G-geometry/A/1/scale-map-distance-example
Monday Bell Work *show your work
A statue, honoring Ray Hnatyshyn (1934–2002), can be found on Spadina Crescent East, near the University Bridge in Saskatoon. Use the information below to determine the unknown height of the statue.
Agenda
• 1- bell work• 2- Agenda- ws • 3- Vocabulary• 4- Objective • 5- lesson *Scale Factor• 6- exit ticket
1. Multiplicative Inverse
What does this word mean to you?
This word actually means…..of two numbers whose product is one: aka as the reciprocal.
Examples… Explain how you would use this word in math.
Lesson
7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from scale drawing at a different scale.
Identifying Scale Factor
Model Actual
*reduce (simplify) and that is your scale factor
Try p. 258 #’s 1-2, 5-6
Using Scale Factor
Example: A picture was taken of a painting. The
picture is 5 cm wide by 8 cm tall. What is the actual size of the painting if the scale factor is 1/3?
Using Scale Factor
Example: A picture was taken of a painting. The picture is 5
cm wide by 8 cm tall. What is the actual size of the painting if the scale factor is 1/3?
To Solve: create 2 proportions (one for width and one for height)
Model 5 = 1 8 = 1Actual x 3 x 3
Tuesday Bell Work *show your work**have homework on desk
Triangles EFG and QRS are similar. The length of the sides of EFG are 144, 128, and 112. The length of the smallest side of QRS is 280, what is the length of the longest side of QRS? (draw a diagram and solve)
Agenda
• 1- bell work• 2- Agenda- ws• 3- Vocabulary• 4- Objective • 5- lesson *Scale Factor• 6- exit ticket
2. Interest
What does this word mean to you?
This word actually means….. the amount of money charged for borrowing or using money; or the money earned by saving money.
Examples… Explain how you would use this word in math.
Lesson
7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from scale drawing at a different scale.
Exit Ticket
Partner Discussion
Scale factor relates to similar figures and indirect measurement. How????
Wednesday Bell Work *show your work
A girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamp post?
160 cm
90 cm 360 cm
Agenda
• 1- bell work• 2- Agenda- ws • 3- Vocabulary• 4- Objective • 5- lesson *Map Scale• 6- exit ticket
3. Gratuity
What does this word mean to you?
This word actually means…..a tip given to a waiter, taxicab driver, etc.
Examples… Explain how you would use this word in math.
Thursday Bell Work *show work
A tree with a height of 4m casts a shadow 15 m long on the ground. How high is another tree that casts a shadow which is 20 m long? (draw a diagram and solve)
Agenda
• 1- bell work• 2- Agenda • 3- Vocabulary• 4- Objective • 5- lesson *N2K and review • 6- exit ticket
4. Commission
What does this word mean to you?
This word actually means…..a fee paid to an agent or employee for transacting a piece of business or performing a service; especially : a percentage of the money received from a total paid to the agent responsible for the business.
Examples… Explain how you would use this word in math.
Lesson
7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from scale drawing at a different scale.
0706.1.4 use scales to read maps
N2K
CT-use percent of increase/decrease to determine the correct answer
CR- fill in all the blanks to complete the problem
Friday Bell Work *show work
Triangles IJK and TUV are similar. The length of the sides of IJK are 40, 50, and 24. The length of the longest side of TUV is 275, what is the perimeter of TUV? (draw a diagram and solve)
5. Scale Factor
What does this word mean to you?
This word actually means…..the ratio used to enlarge or reduce similar figures.
Examples… Explain how you would use this word in math.
Lesson
7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from scale drawing at a different scale.
0706.1.4 use scales to read maps
Lesson
On your desk have a piece of paper out and sharpened pencil.
Answer all questions on the test --- show all work and units of measure
When done- read or work on something quietly and individually