WEEK OF MAY 2-6, 2016

FALCONS,

THIS WEEK WE WILL BE REVIEWING ALL OUR 6TH GRADE MATH TEKS. PLEASE MAKE SURE YOU ARE HERE EVERYDAY.

I KNOW WE CAN DO THIS MIGHTY FALCONS! YOU GUYS ARE SIMPLY THE BEST!!!

LET'S DO THIS!

WEEK OF APRIL 25-29, 2016

FALCONS,

I KNOW IT FEELS LIKE WE ARE GOING 100 MILES PER HOUR BUT I KNOW THAT IT WILL ALL BE WORTH IT ON  STAAR TEST DAY.

REMEMBER TO FOCUS IN CLASS AND WORK ON YOUR REVIEWS AT HOME SO WE CAN CHECK THEM AT SCHOOL. 

REMEMBER THAT PLENTY OF REVIEW SESSIONS ARE AVAILABLE DURING RECESS, 8TH AND 9TH PERIOD BUT ONLY IF YOU HAVE MADE ARRANGEMENTS WITH YOUR PARENTS (VMS AND GMS STUDENTS), RMS STUDENTS CAN JUST WALK NEXT DOOR WHEN COMPLETE, AND ALSO ON SATURDAYS.

THIS WEEK WE WILL BE REVIEWING AND INTRODUCING THE LAST LESSONS OF THE YEAR WHICH ARE DATA ANALYSIS AND FINANCIAL LITERACY. PLEASE COME TO SCHOOL EVERY DAY AND STAY ALERT.

REMINDERS:

10 SCHOOL DAYS LEFT FOR STAAR

PICTURES SHOW STUDENTS TRYING TO FORM A TRIANGLE BY EXPLORING DIFFERENT SIDE LENGTHS THAT MAY BE USED.

WEEK OF APRIL 18-22, 2016

FALCONS,

WE HAD A GREAT WEEK FULL OF LEARNING AND DEDICATION.

THIS WEEK WE WILL BE WORKING WITH DEPENDENT AND INDEPENDENT VARIABLES,WRITING EQUATIONS FROM TABLES AND GRAPHS, AREA, PERIMETER, AND VOLUME OF DIFFERENT SHAPES.WE WILL ALSO BE EXPLORING DIFFERENT TRIANGLE PROPERTIES AND ATTRIBUTES.

WE HAVE 15 MORE SCHOOL DAYS FOR STAAR!  MAKE SURE YOU CONTINUE COMING TO MATH DURING RECESS FOR EXTRA HELP AND BE PRESENT FOR SATURDAY TUTORIALS. 

Area of Triangles Without Right Angles

There are several ways to find the area of a triangle.

Knowing Base and Height

When we know the base and height it is easy.

It is simply half of b times h

Area =	1	bh
	2

(The Triangles page explains more)

Example: What is the area of this triangle?

(Note: 12 is the height, not the length of the left-hand side)

Height = h = 12

Base = b = 20

Area = ½ bh = ½ × 20 × 12 = 120

Question 1 Question 2 Question 3 Question 4  

Knowing Three Sides

There's also a formula to find the area of any triangle when we know the lengths of all three of its sides. This can be found on the Heron's Formula page.

Knowing Two Sides and the Included Angle

When we know two sides and the included angle (SAS), there is another formula (in fact three equivalent formulas) we can use.

Depending on which sides and angles we know, the formula can be written in three ways:

Either:   Area = 1 ab sin C 2

Or:   Area = 1 bc sin A 2

Or:   Area = 1 ca sin B 2

They are really the same formula, just with the sides and angle changed.

Example: Find the area of this triangle:

First of all we must decide what we know.

We know angle C = 25º, and sides a = 7 and b = 10.

So let's get going:

Start with:		Area =	(½)ab sin C
Put in the values we know:		Area =	½ × 7 × 10 × sin(25º)
Do some calculator work:		Area =	35 × 0.4226...
		Area =	14.8 to one decimal place

How to Remember

Just think "abc": Area = ½ a b sin C

How Does it Work?

Well, we know that we can find an area when we know a base and height:

Area = ½ × base × height

In this triangle: the base is: c the height is: b × sin A

Putting that together gets us:

Area = ½ × (c) × (b × sin A)

Which is (more simply):

Area =	1	bc sin A
	2

By changing the labels on the triangle we can also get:

• Area = ½ ab sin C
• Area = ½ ca sin B

One more example:

Example: Find How Much Land

Farmer Jones owns a triangular piece of land.

The length of the fence AB is 150 m. The length of the fence BC is 231 m.

The angle between fence AB and fence BC is 123º.

How much land does Farmer Jones own?

First of all we must decide which lengths and angles we know:

• AB = c = 150 m,
• BC = a = 231 m,
• and angle B = 123º

So we use:

Area =	1	ca sin B
	2

Start with:		Area =	½ ca sinB
Put in the values we know:		Area =	½ × 150 × 231 × sin(123º) m2
Do some calculator work:		Area =	17,325 × 0.838... m2
		Area =	14,530 m2

Farmer Jones has 14,530 m² of land

REMINDERS:                                                                     

MONDAY-SPRING PICTURES

WEDNESDAY-WEAR BLUE OF SUPPORT OF AUTISM AWARENESS.

FRIDAY-PIZZA PARTY FOR STUDENTS THAT EARNED A LEVEL III ON MATH BENCHMARK.

PLEASE TRY YOUR BEST TO BE HERE EVERYDAY!

BE AWESOME!

WEEK OF APRIL 11-15, 2016

FALCONS,


I AM SO PROUD OF ALL STUDENTS WHO EARNED A LEVEL III GRADE ON THEIR MATH DISTRICT BENCHMARK #2. KEEP IT UP GUYS REMEMBER OUR GOAL IS FOR OUR SCORES TO KEEP GOING UP AND NOT DOWN.  I AM CERTAIN THAT THERE WILL BE MORE LEVEL III GRADES ON OUR STAAR EXAM IF WE CONTINUE TO WORK EXTRA HARD EACH AND EVERY DAY FROM HERE UNTIL MAY 9TH.


THIS WEEK WE WILL CONTINUE WORKING ON SOLVING ONE STEP EQUATIONS AND BEGIN WRITING AND SOLVING INEQUALITIES. WE WILL ALSO BE HAVING GEOMETRIC SESSIONS AS OUR BELL RINGERS TO CONTINUE TO GET MORE PRACTICE ON GEOMETRY LESSONS.  TRY YOUR BEST TO BE HERE EVERYDAY SO THAT YOU DON'T MISS OUT. I DON'T WANT ANYONE FALLING BEHIND.

MAKE SURE ALL ASSIGNMENTS HAVE BEEN TURNED IN, THE LAST DAY OF THE 5TH SIX WEEKS IS THIS FRIDAY. DO NOT SLACK OFF!

REMINDERS:
-BE HERE EVERYDAY.
-TUTORIAL SESSION APRIL 16. MAKE SURE YOU ARE HERE EVEN IF IT'S YOUR FIRST TIME COMING.
-REVIEW, REVIEW, REVIEW.
-CONTINUE COMING TO "LUNCH BUNCH MATH SESSIONS," FOR EXTRA HELP.