Team Assignments for Final Meet

NEW INFO

I forgot to teach one thing that might be on the test. So here is in a nutshell.

TRANSFORMATION LESSON - transformation is the changing of a shape in the coordinate plaen. There are four methods of transformation:

TRANSLATION - sliding a geometric shape to the left or right on the coordinate plane

     If you've ever used powerpoint, it's like dragging a figure.

ROTATION - rotating or turning the figure

REFLECTION - flipping a figure over to get a mirror image.

DILATION - making a figure larger or smaller

For a 2.5 minute lesson click HERE 

ANSWERS TO TEST

1. Simplify and write in descending order (that means first the x squared’s then the x’s then the plain numbers)

14 + 3(x² – 2) – 4(5 + 3x) – (x² + 3)  (First, let’s use the distributive principle.)

14 + 3x² – 6 – 20 -12x - x² – 3 (Remember to distribute the negative sign)

Now combine like terms. How many x squared’s? (3-1=2)

So 2x² … (now how many x’s?) -12x (and finally add the numbers 14-6-20-3= -15)

Final answer: 2x² -12x -15

2. In right triangle ABC, BD is an altitude. AC=2” and BC=1”. What’s the length of BD?

Use the Pythagorean theorem to find the length of AB. 2² = 1² +AB²  Thus 4=1+ AB²  or 3 = AB^2.   So AB = √3

AC=2”

BC=1”

AB =  √ 3   "

Here’s a trick – let’s compute the area of the triangle two different ways. A=½ bh.  A= ½(AB)(BC)  and A= ½(AC)(BD) The two ways of computing the are should be equal, so  ½(AB)(BC)= ½(AC)(BD) or (multiplying both sides by 2)

(AB)(BC)=(AC)(BD). Let’s plug in the values.

(√3)(1) = 2 (BD)

Therefore BD= √3/2

3. Marc made the basket 16 times and missed the basket 9 times in the basketball game. What is the probability that he will make the basket on his next try?

Probability is always expressed as a fraction between 0 and 1.  The numerator will be the successes and the denominator will be the total chances. He was successful 16 times out of a total of 25 chances. So the probability is 16/25 (or 64%)

4. Sandy decorated her holiday tree with 10 red, 15 silver, and 5 green lass ornaments. Her little brother, Ed, pulled the tree over and only one ornament broke. What is the probability it was red?

Again, probability is always expressed as a fraction between 0 and 1.  The numerator will be the successes and the denominator will be the total chances.

So 10 are red of a total of 30 ornaments. The probability is 10/30 which should be reduced to 1/3. 

5. There are six people in a race. There are trophies for first, second and third place. How many different ways are there for handing out those 3 trophies?

First place can go to any of the six racers. Second place can only go to 5 since the first place person can’t also get the second place trophy. Third place can go to 4 racers since there are two racers who already got a trophy. So the total different ways is 6x5x4=  120.

SCORES and Team Assignments

Practice Group Test 
 Friendly Hills Gold 12
 Friendly Hills Red 7
 Heritage 12

FRIENDLY HILLS 

Grade	Name	P5b	M5r
8	Frank Sullivan	4	46.0
5	Oscar Halverson	4	26.0
6	Noelle Wang	2	20.3
5	Cyrus Martin Risch	2	16.0
5	Nick Wendt	2	16.0
5	Dain Dolan	1	11.7
5	Oslo Martin Risch	3	11.0
8	Naomi Spande	4	9.3
6	Lydia Houge	4	8.0
5	Aidan Dolan	1	6.3
5	Sophia Schomer	2	6.0
5	Nicholas Reisig	0	3.3
6	Aiden Lee		2.0
6	Lily Pince		1.3
5	Jake Lancaster	1	1.0
6	Emma Stevenson	0	0.0

HERITAGE

8	Aiden Jacobs	2	34.7
8	Abbey Dzurilla	2	32.0
7	Anthony Rocke	8	30.0
7	Cullen Sander	2	16.0
7	Steve Nickson	4	14.7
7	Ben Nickson		14.3
6	Angel Hernandez	0	2.7
5	Nik Zeravica	0	2.0
5	Victoria Dzurilla	0	2.0