I) Simple Interest, 3/ HW: P. Key Concepts!.

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Presentation transcript:

I) Simple Interest, 3/ HW: P. Key Concepts!

Savings Interest – look for the best highest interest rate for investment of getting back more money on the amount initially invested into your account.

Individual Open Ended: Goal: Create a word problem involving simple interest. It may involve borrowing money or investing money. *** Share with class.

Review Wrap Up on Interest, followed by a Daily Grade.

I. Percent of Change, 3/20 & 3/21 HW: Posted on Board for the Week A. Key Concepts!

Find Percent of Change. Round to nearest whole percent Find Percent of Change. Round to nearest whole percent. State % of increase or decrease Original: 25 New: 60

Individual Practice from Textbook

I. Geometry (Angles & Lines), 3/21/19 & 3/22/19 HW: A. Key Concepts!

Point Has no dimension Usually represented by a small dot A The above is called point A. Note the point is represented with a capital letter.

Line Extend in one dimension. Represented with straight line with two arrowheads to indicate that the line extends without end in two directions. This is Line l, (using the lower case script letter) or symbolically we call it l A B NOTICE: The arrowheads are in both directions on the symbol

Line Segment Let’s look at the idea of a point in between two other points on a line. A B A B Here is line AB, or recall symbolically The line segment does not extend without end. It has endpoints, in this case A and B. The segment contains all the points on the line between A and B This is segment Notice the difference in the symbolic notation!

Ray Symbolized by Let’s look at a ray: A B A is called the initial point The initial point is always the first letter in naming a ray. Notice the difference in symbols from both a line and segment. A B Ray AB extends in one direction without end. Symbolized by

Angles Rays are important because they help us define something very important in geometry…Angles! An angle consists of two different rays that have the same initial point. The rays are sides of the angles. The initial point is called the vertex. Notation: We denote an angle with three points and symbol. The middle point is always the vertex. We can also name the angle with just the vertex point. This angle can be denoted as: vertex B sides A C

Classifying Angles Angles are classified as acute, right, obtuse, and straight, according to their measures. Angles have measures greater than 0° and less or equal to 180°. A A A A Acute angle 0°< m A < 90° Right angle m A = 90° Obtuse angle 90°< m A < 180° Straight angle m A = 180°

Measure Angles using a protractor. Practice

II. Geometry Part 2: Special Pairs (Angles) A. Key Concepts!

Adjacent angles are “side by side” and share a common ray. 15º 45º

These are examples of adjacent angles. 45º 80º 35º 55º 130º 50º 85º 20º

When 2 lines intersect, they make vertical angles. 75º 105º 105º Opposite angles are congruent (equal). 75º

Supplementary angles add up to 180º. 40º 120º 60º 140º Adjacent and Supplementary Angles Supplementary Angles but not Adjacent

Complementary angles add up to 90º. 30º 40º 50º 60º Adjacent and Complementary Angles Complementary Angles but not Adjacent

Practice Time!

Wrap up, followed by a Daily Grade

III. Geometry Part 3: Triangles, Quadrilaterals, & Polygons. A. Key Concepts! 1) Triangle – 3 sided polygon with 3 angles. 2) 3 types of triangles (classified by sides) Equilateral triangle: A triangle with three congruent (equal) sides and three equal angles

Isosceles triangle: A triangle with at least two congruent (equal) sides

Isosceles triangle: A triangle with at least two congruent (equal) sides

2) 3 types of triangles (classified by angles) a. Right triangle – has 1 right angle b. Acute triangle – has 3 acute angles c. Obtuse triangle – has 1 obtuse angle

B) Interior Angles of a Triangle. Interior angles: An interior angle (or internal angle) is an angle formed by two sides of a simple polygon that share an endpoint Interior angles of a triangle always equal 180 degrees.

C) Quadrilaterals, 3/22/19 & 4/2/19 HW: Posted on board for the Week Key Concepts! 1) Quadrilateral – 4 sided closed figure (polygon). Types of Quadrilaterals—

Sides Sides Trapezium Kite 1 pair of parallel sides Parallelogram Rectangle Square Rhombus Kite 1 pair of parallel sides Sides 2 pairs of equal sides 2 pairs of parallel sides and opposite sides equal. Sides 2 pairs of parallel sides and all sides equal. 2 pairs of parallel sides and opposite sides equal. 2 pairs of parallel sides and all sides equal.

Angles Angles Trapezium Kite One opposite pair of equal angles Parallelogram Rectangle Square Rhombus Kite Opposite angles are equal. One opposite pair of equal angles Angles Angles Opposite angles are equal. All angles are right angles (90o) All angles are right angles (90o)

Name Sides Angles Diagonals Worksheet 2

D) Polygons, 4/2/19 & 4/3/19 (Review for Test 4/5/19 – Geometry Unit) HW: See Board for Weekly Homework Key Concepts! (Just know the names and number of sides up to 10-- for each polygon) 1) Polygon – shape with many sides (closed figure). a. Triangle – 3 sides b. Quadrilateral – 4 sides c. Pentagon – 5 sides d. Hexagon – 6 sides e. Heptagon – 7 sides f. Octagon – 8 sides g. Nonagon – 9 sides h. Decagon – 10 sides