Weak of August 28, 2017

Open House:
Our open house is this Thursday, August 31, 2017

Foundation Of Algebra

Evaluate expressions
A variable is a letter, for example x, y or z, that represents an unspecified number.

$$6+x=12$$

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.

If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

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Example

Calculate the following expression for x=3 and z=2

$$6z+4x=\: ?$$

Solution: Replace x with 3 and z with 2 to evaluate the expression.

$$6z+4x=\: ?$$

$$6\cdot {\color{blue} 2}+ 4\cdot {\color{blue} 3}=?$$

$$\: \, 12+12=24$$

Anatomy

Skeleton: https://www.brainpop.com/health/bodysystems/skeleton/


Geometry

Similar Triangles Review

Similar triangles have the same shape, but the size may be different.

Remember "≅" means "is congruent to" and "~" is "similar to". Examples

Corresponding Triangles	Corresponding Congruent Angles	Corresponding Proportional Sides a/f = b/d = c/e = factor
ΔABC ~ ΔFDE	<A = <F <B = <D <C = <E	a/f = 6/3 = 2 b/d = 8/4 = 2 c/e = 10/5 = 2
ΔABC ≅ ΔFDE	<A = <F <B = <D <C = <E	a/f = 3/3 = 1 b/d = 4/4 = 1 c/e = 5/5 = 1

Two triangles are similar if:

• two pairs of corresponding angles are congruent (therefore the third pair of corresponding angles are also congruent).
• the three pairs of corresponding sides are proportional.

Notice the corresponding angles for the two triangles in the applet are the same. The corresponding sides lengths are the same only when the scale factor slider is set at 1.0. Study the side lengths closely and you will find that the corresponding sides are proportional.