Genetics
Copy the 2x2 Punnett Square. Include the NN, Na & aa's in your square. Note what N and a stand for. Your team will get points when everyone has the diagram on their paper.
Show me your paper!
A square-shaped foundation for a building with 100-foot sides is reduced by x feet on one side and extended by x feet on an adjacent side. Draw a diagram on that represents this situation. Include a square with two sides labled with the given lengths.
A square with a length and a width labeled 100-x and 100+x.
Copy the diagram of the superimposed right triangles for this problem. Your team will earn points once everyone has it on their paper.
Show me your papers :)
Copy the diagram of the superimposed squares for this problem. Your team will earn points once everyone has it on their paper.
Show me your papers :)
Your team needs a notecard, ruler, and scissors for this problem. Examine the diagram of the flat piece of cardboard and the resulting container. Create a scale model of the container using your 3x5 notecard. Label the dimensions of your container. Do not use tape on your boxes. Think twice before you cut!
Show me your containers!
Look at your answers for when x=1, 2 & 3. What happens to the volume of the container as x increases and decreases? Use your model to verify your thinking.
As the height increases, the volume increases. As the height decreases to zero, the volume decreases to zero.
The area of science this problem represents.
What is biology or genetics?
Your team needs a 10x10 piece of graph paper, scissors, and a small piece of tape for this problem. Write, "x" in one corner box. Cut one row off containing the x. This represents (100-x). Add the row to the "width" (vs. the length).
Once you know it's right, tape your row onto your graph paper model of (100+x)(100-x) and earn your points.
How would you go about finding the area of the shaded region? You are not providing a numerical answer. You are providing a process for finding the area of the shaded region.
Bonus points if you share more than one process.
Option 1: Subtract the area of the small white triangle from the area of the entire triangle to find the area of the shaded region.
Option 2: Find the area of the trapezoid.
How would you go about finding the area of the shaded region? You are not providing a numerical answer. You are providing a process for finding the area of the shaded region.
Find the volume of the box in terms of x if volume = length x width x height.
Hint: You will not get a numerical answer.
What is V=4x^3-88x^2+468x ?
Show me what your model would look like when x = 0
It would be flat (height=0)
Considering the Punnett Square, this is the percent of the possible gene combinations that results in albino coloring.
What is 25%?
The area of the new foundation is represented by (100-x)(100+x) . Find this product.
What is 10 000-x^2 ?
The area of the shaded region in terms of x ... as a polynomial in standard form.
What is 30x^2 ?
The area of the shaded region in terms of x ... as a polynomial in standard form.
What is 15x^2+18x+3 ?
The volume of the container when x = 1. Include units. (3 dimensions = centimeters cubed)
What is 384 cm3?
Discuss with your team: We now know that x cannot equal zero. Are there any other restrictions to x? Explain. Be prepared to report your findings to the class.
0<x<9
When x is zero, there is no volume because the cardboard is flat.
When x=9, there is no width. The cardboard is folded in half.
Each parent's gene combination is represented by the polynomial 0.5N+0.5a . The product (0.5N+0.5a)^2 represents the possible gene combinations of an offspring. Find this product.
What is 0.25N^2+0.5Na+0.25a^2 ?
After the sides of the rectangle are modified (by adding x feet to one side and subtracting x feet from the other), does the area of the foundation increase, decrease, or stay the same? How do you know?
It decreases because the are of the original square is 10,000 square feet and the new product is 10 000-x^2
The volume of the container when x = 2. Include units. (3 dimensions = centimeters cubed)
What is 616 cm3?
What is the greatest possible volume of the container? Would you recommend this to the restaurant owner? Explain. Include two considerations your team made in arriving at a conclusion.
Share your reasons with the class!
The coefficient of each term of the product 0.25N^2+0.5Na+0.25a^2 is the probability (in decimal form) of the offspring having each gene combination. Write the term that represents the percent of the possible gene combinations that result in albino coloring.
What is 0.25a^2 ?
Use (100-x)(100+x) to find the area of the new foundation when
x=21
What is 9559 square feet?
The volume of the container when x = 3. Include units. (3 dimensions = centimeters cubed)
What is 720 cm3?