Day 140 – SNOW DAY #6 (Monday, April 16)
Day 141 (Tuesday, April 17)
Pre-Algebra: Chapter 11-3
Angle Relationships and Parallel Lines
Make sure you know the following definitions:
- Vertical angles – When 2 lines intersect, they form 2 pairs of “opposite” angles called vertical angles
- Congruent – angles with the same measure
- Adjacent angles – when 2 angles have the same vertex, share a common side and do not overlap, they are adjacent
- Complementary angles – the sum of the 2 angles is 90°.
- Supplementary angles – the sun of the 2 angles is 180°.
- Transversal – 2 parallel lines are intersected by a 3rd line called a transversal
- Alternate interior angles – are non adjacent interior angles found on opposite sides of the transversal
- Alternate exterior angles – are non adjacent exterior angles found on opposite sides of the transversal
- Corresponding angles – are angles that have the same position on 2 different parallel lines cut by a transversal
Remember, corresponding angles are congruent, alternate interior angles are congruent and alternate exterior angles are also congruent.
Algebra: Chapter 12-4
Quadratic Functions
A quadratic function is defined by f(x) = ax^2 + bx + c. To make it easier, just replace the “f(x)” with “y” and treat as you have done in the past.
With a function in standard form (ax^2 + bx + c), the vertex is -b/2a and the axis of symmetry is x = -b/2a. The vertex is the point on the PARABOLA where the slope changes sign from positive to negative or vice-versa. The axis of symmetry, you recall, is the line when the parabola can be “flipped” or “folded over” and still be symmetrical in shape.
You should plot at least 5 points when making a graph of the equation and DO NOT use a ruler to connect the points, this is a parabola, NOT a linear equation.
Where the parabola crosses the x-axis are called the ROOTS of the equation. You can find the ROOTS easily by setting y = 0 and solving the quadratic equation with the factoring techniques from Chapter 6 and 10.