CCSS.Math.7.SP.5-8 Theoretical and Experimental Probability

Good day to all,

Now that you have a feel for Probability, we will add to your knowledge and learn about Theoretical and Experimental Probability.  Let's talk about the experimental probability first...... This is when you ACTUAL do the the experiment.  For example:  if you are dropping a number cube ( 1,2,3,4,5,6), and you tally all the times that the cube lands on 6 after doing this for 5 minutes- this is experimental as you actually did this.  Experiment Probability is not always the same odds as theoretical -  but the longer you do the experiment, the closer it gets to the Theoretical odds.  Theoretical Probability is what SHOULD happen.  So if you are choosing a number off the number cube, the odds are the same for each number- 1 out of 6.  This is also know as uniform probability.  If there is a discrepancy between the Experimental and the Theoretical Probability, then that could mean that you have not done the experiment enough times.  The more times you do the experiment, the closer it gets to Theoretical.  

As always in MATH,

Mrs M

CCSS.Math.7.SP. 5 Probability of Simple Event

Good day to you girls and boys,

At this point we are moving onward with STATISTICS and PROBABILITY!  This is the last standard we are doing 

in 7th grade!!! 

We start off this standard with PROBABILITY.  Probability is the chance that something might happen- it is not a definite! As with all math, you will need to understand and use the vocabulary of this standard.  The second vocabulary term is SIMPLE EVENT- a simple event is what you want to happen.  Third vocabulary term is OUTCOME.  Outcome is all the things that can happen.  Along with vocabulary, there is also a new way of writing probability.  If we are dropping a coin and we want to have it land on a head, we would write this as P(head).  Heads is the simple event.  The probability would be written as P(head) is 1/2, as there are 2 possible outcomes, either heads or tails.  

This is Alice, Taylor's kitten.  She is playing on Taylor's bedroom rug.  So cute.

As always in MATH,

Mrs M

CCSS.Math.7.G. 4-6(2c) Volume of Pyramids

Good day to you girls and boys,

Now that we are understanding using formulas, we have another one- Volume of Pyramids .  Pyramids are the the 3-D shape that has one base and comes to a point- example: the great pyramids of Egypt that you studied last year.  These bases can be different shapes and what that shape is, determines the name of the pyramid.  For instance a square base is called a square pyramid- a triangle base is called a triangular pyramid.  Sounds reasonable right?  Another vocabulary term you need to know is a Lateral Face.  These are the flat sides that meet at the vertex.  THE TRICK IS to find the height of the pyramid!  The height is as if you are dropping a line from the vertex to the base inside the pyramid.  The height ALWAYS comes to a right angle.  So be careful, when using the formula, look for the height of the pyramid to be inside and forming a right angle.  The slant side is the lateral face.  The formula for VOLUME of a PYRAMID is V = 1/3 lwh.  

Look over the videos and ask questions.

This is Flash, an injured squirrel that Izzy found in her yard.  Hope he gets better.  

As always in MATH,

Mrs M

CCSS.Math.7.G.4-6(2c) Volume of PRISMS

Dear girls and boys,

We are moving into the third dimension!  Hang on 'cause here we go!  

We are looking into Rectangular and Triangular PRISMS! These are 3-D polyhedrons(figures) that have 2 parallel bases. One has rectangular bases and the other has triangular bases! Bet you could have guessed this right?  I this lesson we will be looking at the volume of prisms.  VOLUME is the measure of the space inside the 3-D shape.  VOLUME has a cubic(3) measure as you will be using 3 measures of height length and weight.  And because it is a measure, you always need to have included as unit cubed- in^3.  We will go over this in class as well as the videos.  

This was brought to you by Alex!  This is timed so well! Thank you.

Watch the videos and make certain to write down the vocabulary!

As always in MATH,

Mrs M

CCSS.7.G.1-3 (2c) Radius, Diameter, Circumference of a CIrcle

Good Afternoon Girls and Boys,

We are going to review a few KEY terms for circles: Radius, Diameter and Circumference .

The smallest measure of the bunch is radius- radius is the distance from the center of the circle to the circle.  Diameter is the next size and it is the whole way through the circle and it passes through the center. And the largest measurement is the Circumference. Circumference is like a perimeter in squares but the circumference is the measure around the circle.  2r=d  d(pi)= C

Wow! This is Hunter with his new friend! What a fun time that must have been.
As always in MATH,
Mrs M

CCSS.Math.7.G.4(2c) Area of a Circle

Dear Girls and Boys,

We are marching on in Geometry and this time we are going to learn everything you DIDN'T want to know about a circle!!! heehee....  So for a review on the circle vocabulary before we start- radius is the line from the center to the circle: diameter is from one point on the circle through the center to the other side; and the circumference is all the way around.  But we are learning about the Area of a Circle.  So with the foundation of the vocabulary, we build on it with AREA.  Area is always the sections inside the circle- AREA is always measured in units squared ( pi times d). Pi is an approximation for the distance around any circle.  It is the very famous symbol and it represents approx. 3.14 or 22/7.  I am sure you have seen this in your math travels. 

We will be looking at a great deal of circles as we have many bird feeders in the classroom to measure to our hearts desire! 

We are a bunch of CLOWNS! Fun times!

As always in MATH,

Mrs M 

CCSS.Math.7.G.1-3(1c) Draw Three Dimensional Figures

Good day Girls and Boys,

We are going to skip the section on scale drawings and come back at the end of this chapter.  We are therefore in lesson 5 in your textbook.  This lesson is on drawing 3-D figures, so I guess you need to know what a 3-D figure is right?  No? you all know!  Well, in mathematics, a 3-D figure has 3 parts- height, width and length!  Some examples would be like a tent, a baseball, a box, a ice cream cone, and so on.  This lesson is looking at these shapes from the top view, side view and front view and drawing what 2-D shape you see.  Check out the book and the videos for clarity on this lesson.  I also want to apologize for the difficult time I had using the ipad to draw the shapes on the videos, so make sure you use your imaginations!  Thank you.

No NEW Vocabulary this lesson! Yippee!!

This is one picture from Hunter from his vacation in Florida. He had so much fun there that I bet it was hard to come back home!

As always in MATH,

Mrs M