Hard Work ALWAYS pays off!

WEEK OF FEBRUARY 2-6, 2015

I feel like time is flying by and I'm sure you feel the same way Falcons! I am very proud of all of you for working hard and trying your best.  Many of you were proud of your math progress report grades; keep up the good work kids!

We will continue to work with order of operations this week. Go over your integer operations rules and practice the adding integers tune we learned last semester. (SAME SIGN, ADD AND KEEP, DIFFERENT SIGNS SUBTRACT, USE THE SIGN OF THE BIGGER NUMBER THEN YOU'LL BE EXACT) LA-DA-DI-DA

We will also begin to model equivalent expressions, evaluating expressions, and generating equivalent expressions. Use this link for additional help.https://learnzillion.com/lessons/652-write-equivalent-expressions-using-visual-area-model

MORE ALGEBRA FLAVORED WORK IS COMING INTO OUR CURRICULUM SO DON'T PANIC FALCONS! WE WILL DO JUST FINE. MAKE SURE YOU PAY CLOSE ATTENTION AND STAY ON TASK!  REMEMBER WE ARE A TEAM!

Equivalent Expressions

What are equivalent expressions? As the name suggests, equivalent expressions are algebraic expressions that, although they look different, turn out to really be the same. And since they're the same, they will yield the same results no matter what numbers we substitute for their variables.

Let's consider this algebraic expression: 2 (x^2 + x). If we substitute 1 for the variable x, the expression equals 4.

But what about the expression 2x^2 + 2x? If we again substitute 1 for the variable x, we still get 4. How does this happen?

What we really did was simplify the original expression by distributing the 2 into the part in parentheses. So we really haven't changed the expression at all. All we've done is rewrite it in a different form.

Because these two expressions are really the same, no matter what number we substitute forx, the results will always be identical. If we use 0, both expressions come out to 0. If we use 10, both expressions come out to 220. If we use 100, both expressions come out to 20,200. We get the same result no matter how large or small the number we use for x.

GEOMETRIC CONSTRUCTION

Review your triangles and angles vocabulary. Remember to take your markers and colored pencils to class. We will be working on activities involving triangles (degrees, angles, area, etc).  Triangle Quiz coming up!

Pictures: Math Classes playing math tag relay involving exponents.

Geometric: Students working on their cube bubbles! OUR RESULTS WERE POSITIVE. A CUBE BUBBLE IS POSSIBLE!