11-2 The Pythagorean Theorem – We learned to use the Pythagorean Theorem to calculate the length of sides of a right triangle. Then we used it to determine whether a triangle is a right triangle. We practiced calculating a missing hypotenuse or side by using the Pythagorean theorem as well. We also learned how to square a radical.
Assignment: Complete Problems from 11-2 in workbook
9-4 Draw a Diagram - We learned that drawing a diagram often helps model relationships. Then we learned that diagrams can help us understand a situation more clearly. Next, we saw that a diagram can serve as a written record of our thought process. Then we saw that organizing data into a diagram can help us see patterns or algebraic equations to be used in solving a problem.
Assignment: Complete assigned problems
9-3 Classifying Polygons – We learned how to classify quadrilaterals by their sides and angles. Then we learned that the types of quadrilaterals that have both pairs of opposite sides parallel are parallelograms, rectangles, rhombuses, and squares. Next we learned that the types of quadrilaterals that have 4 right angles are rectangles and squares. Then we learned that a regular polygon has all sides congruent and all angles congruent. Some examples of regular polygons are a triangle, square, pentagon, and hexagon.
Assignment: Complete Problems from 9-3 in workbook
9-3 Classifying Polygons – We learned that a polygon is a closed plane figure with at least 3 sides. Then we learned how to classify triangles and quadrilaterals. First, we learned to classify triangles based on the measure of their angles. If the angles are less than 90° then the triangle is an acute triangle. If the angle is equal to 90° it is a right triangle. If the angle is greater than 90° it is an obtuse triangle. Then we learned to classify triangles based on the length of their sides. If the sides are all congruent is an equilateral triangle. If 2 sides are congruent it is an isosceles triangle. If no sides are congruent then it is a scalene triangle.
Assignment: Complete problems from 9-3 in workbook
9-2 Angle Relationships and Parallel Lines – We learned how to define an angle and its parts. We learned that we can name an angle by a single letter, a number at its vertex, or by three letters that name points on the angle. The middle letter must be the vertex and the other two letters must name a point on each of the two rays. Next we learned that when the sum of two angles is 180°, the angles are supplementary. When the sum of two angles is 90°, the angles are complementary.
Assignment: Complete problems from 9-2 in workbook
9-1 Introduction to Geometry: Points, Lines, and Planes – We learned the basic geometric figures. Next we learned that a point has no dimensions. A line is one-dimensional having no width or height. You cannot measure the end of a line because it has no end. A plane has two dimensions length and width but no height. You cannot measure length or width of a plane because it extends forever. The simplest figure you can measure is a line segment. Then we learned to recognize intersecting lines, parallel lines, and skew lines.
Assignment: Complete Problems from 9-1 in workbook
8-8 Graphing Linear Inequalities – We plotted boundary lines and shaded solution regions. We learned to test a point (often (0, 0)) to determine which side of the line to shade. We repeated this process for the second linear inequality then noted where the shaded areas overlapped.
Assignment: Complete assigned problems for homework.
8-6 Solve by Graphing – We used our knowledge of rate of change and initial value to write a linear function as an equation and interpret a function from a graph. We reviewed the slope formula, which is the change of y divided by the change of x. Then we solved for the y-intercept in the slope–intercept formula by substituting one of the points for x and y.
Assignment: Complete assigned problems for homework.
