11th Grade Summer Assignments
(entering 12th grade)
Problem Set #1 – deltamath.com
/ Friday, June 22nd
Problem Set #2 – deltamath.com / Friday, July 6th
Problem Set #3 – deltamath.com / Friday, July 20th
Problem Set #4 – deltamath.com / Friday, August 3rd
Problem Set #5 – deltamath.com / Friday, August 17th
Summer Portfolio Assignment / Due Date
11th Grade Summer Packet (see attached) / Thursday, September 6th
Ronit’s Teacher Code on deltamath.com: 544639
Questions? Email us…Ronit – oyce – eoffrey –
11th Grade Summer Packet
Due: Thursday, September 6th, 2012
Summer Packet Contents (Total Points: 100)
- Problem Solving (20 points)
- Real World Math (20 points)
- Mini-Project (30 points)
- Mind Bender (20 points)
- Folder - organization (10 points)
Scoring Rubric
Problem Solving /
- Several mathematical topics and skills will be reviewed.
- Work will be graded based on completion of problems.
Real World Math /
- You will choose 4 mathematical topics that you have studied
- For each of them, you will find a picture or an image that applies
- You will write 5-6 sentences describing how the picture relates to the math topic you selected
Mini-Project /
- You will be given one mini-project where you will apply math you have studied in class to a real world problem.
Mind Benders /
- You will solve two Mind Benders.
- You will be graded on TRYING a Mind Bender and explaining how you found your solution.
This box for teachers only
Section / Grade / Total Possible
Problem Solving (5 points per page) / /20 points
Real World Math (5 points each) / /20 points
Mini-Project (10 points per section) / /30 points
Mind Benders (10 points each) / /20 points
Folder (10 points) / /10 points
Final Grade: / /100 points
All work must be organized and put in a folder when submitted.
PROBLEM SOLVING
FUNCTIONS
- Are the situations given below a function or a relation? Explain why.
a) b)
- Should the graph representing each of the situations below be discrete, continuous or discontinuous?
What should be the name of each of these graphs? Why?
a)Blanca has been collecting penniesb) Bill is ordering buses for a school trip
over a period of 10 years
3. Evaluate this function when x = -2 4. Find the inverse of g(x) =
f(x) = 2x3 – 4x2 + 5
PROBLEM SOLVING
DOMAIN AND RANGE
5. Determine the domain and range for each graph:
My little sister just finished her bouncing ball investigation. Here
is some more data that she collected by dropping the ball and
letting it bounce 3 times. Help her find an equation for this data
and determine how high the ball will bounce on the 6th bounce.
PROBLEM SOLVING
Functions
Consider the graph of. Make one change in the equation of and write a new
equation so that the graph:
a.Opens downwardb.Is vertically stretched
c.Has no x-interceptsd.Is moved to the right
Find the (x,y) coordinate for each angle given:
PQ
11
45o 130o
For point Q, what is another angle measurement that has the same y-coordinate? How do you know?
For point Q, what is another angle measurement that has the same x-coordinate? How do you know?
PROBLEM SOLVING
ALGEBRAIC SKILLS
10. Solve these equations. Show all your work.
a) b)
11. Factor following expressions and simplify as much as possible:
a) b)
REAL WORLD MATH
You will find a “Real World” object and write 5-6 sentences on how it applies to a specific math topic you studied in math class last year. In total, you will find and describe FOUR mathematical topics.
Directions:
1.) Find a picture on the Internet or take a picture using a camera of something in your home,
neighborhood or community that involves a specific math topic.
2.) Print it out and put it on a piece of construction paper.
3.) UNDER the picture, write 5-6 sentences that describes how the image relates to a specific math
topic.
4.) ABOVE the picture, write the name of the math topic in large letters.
Example:
Possible Math Topics (Choose 4)Equation / Sequence / System of Equations
Function / Step Function / Rule
Relation / Continuous / Table
Domain / Discrete / Variable
Range / Periodic Function / Vertex
Linear Function / Constraint / Logarithm
Exponential Function / Sine and Cosine / Point of Intersection
Cubic Function / Asymptote / Trigonometry
Questions that will help you write your 5-6 sentences:
How is math used?
Why is math used?
Is math important for this specific picture?
Who uses math for this image?
What does someone need to know before using this math topic?
What other math topics can apply to this picture?
MINI-PROJECT
After college, you get a job with a starting salary of $35,500. Your first day on the job is January 1, 2010. You have a cousin working at the same corporation, but he was hired three years before you. Your contract states you will receive a pay raise each year of 7%.
Suppose your cousin confesses to you that he began at $40,000 and has been guaranteed
a 5% pay raise each year.
a. Make a table showing the salaries of both you and your cousin for the next five years.
Then, write a rule you could use to find your salary given any number of years and your
cousin’s salary given any number of years.
b.Sketch a graph of both you and your cousin's salaries from now until the time when your
earnings catch up and exceed his earnings.
c.How long will it take before your salary exceeds his?Show your work algebraically.
MIND BENDERS
Two interesting situations are given below. Solve them any way you can. Show as much work as possible. You will be graded based on strategies, thinking and reasoning. Even if you try something that does not work, you should still include that work.
- Casper the Rabbit
Christian is training his pet rabbit Casper to climb up a flight of 10 steps. Casper can only hop up 1 or 2 steps each time he hops. He never hops down, only up. How many different ways can Casper hop up the flight of 10 steps? Provide evidence to justify your thinking.
- Flashlight and the Bridge
Four people want to cross a bridge. Only two people may cross at a time.
Star takes 1 minute to get across.
Julie takes 2 minutes to get across.
Brandon takes 5 minutes to get across.
Kevin takes 10 minutes to get across.
Here is the catch, if two people cross the bridge together, they must walk at the pace of the slower one. So, if Star and Kevin cross, they take 10 minutes. Also, it is night. Each trip requires a flashlight. There is only one flashlight. They are not allowed to toss the light over the river.
My friend said that she can get them across in 17 minutes flat. How is this possible?
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