#### Month: **September, 2012**

### 3.2 Constructing Perpendicular Bisectors

3.2 Constructing Perpendicular Bisectors powerpoint

3.2 Constructing Perpendicular Bisectors pdf

The island shown at right has two post offices. The postal service wants to divide the island into two zones so that anyone within each zone is always closer to their own post office

than to the other one.

What to do?

In this lesson you will

● Construct the perpendicular bisector of a segment using patty paper and a straightedge, and using a compass and straightedge

● Complete the Perpendicular Bisector Conjecture

● Learn about medians and midsegments of triangles

● Find the answer on the post office question

**READ: CONSTRUCTING PERPENDICULAR BISECTORS**

### 3.1 Duplicating Angles and Segments

3.1 Duplicating Angles and Segments powerpoint

3.1 Duplicating Angles and Segments pdf

In this lesson you will

● Learn what it means to create a **geometric construction**

**● Duplicate a segment **by using a straightedge and a compass and by using patty paper and a straightedge

● **Duplicate an angle **by using a straightedge and a compass and by using patty paper and a straightedge

3.1.1 Investigation Duplicating Angles and Segments

3.1.3 Duplicating Angles and Segments WS

### 2.4 Mathematical Modeling

2.4 Mathematical Modeling powerpoint

In this lesson you will

● Attempt to solve a problem by **acting it out**

● Create a** mathematical model** for a problem

● Learn about **triangular numbers** and the formula for generating them

**READ: MATHEMATICAL MODELING**

### 2.3 Finding the nth Term

2.3 Finding the nth Term powerpoint

In this lesson you will

● Learn how to write **function rules** for number sequences with a constant difference

● Write a rule to describe a geometric pattern

● Learn why a rule for a sequence with a constant difference is called a **linear function**

2.3.1 Investigation “Finding the Rule”

2.3.2 Finding the nth Term WS - **solutions**

**READ: FINDING NTH TERM**

### 2.2 Deductive Reasoning

2.2 Deductive Reasoning powerpoint

In this lesson you will

● Learn about deductive reasoning

● Use deductive reasoning to justify the steps in the solution of an equation

● Use a deductive argument to explain why a geometric conjecture is true

To explain why a conjecture is true, you need to use deductive reasoning. Deductive reasoning is the process of showing that certain statements follow logically from accepted facts.

2.2.2 Deductive Reasoning Homework WS

2.2.3 Inductive and Deductive Reasoning WS

**READ: DEDUCTIVE REASONING**

### 2.1 Inductive Reasoning

2.1 Inductive Reasoning powerpoint

In this lesson you will

● Learn how** inductive reasoning** is used in science and mathematics

● Use inductive reasoning to make **conjectures** about sequences of numbers and shapes

Inductive reasoning is the process of observing data, recognizing patterns, and making generalizations based on those patterns. You probably use inductive reasoning all the time without realizing it. For example, suppose your history teacher likes to give “surprise” quizzes. You notice that, for the first four chapters of the book, she gave a quiz the day after she covered the third lesson. Based on the pattern in your observations, you might generalize that you will have a quiz after the third lesson of every chapter. A generalization based on inductive reasoning is called a conjecture.

2.1.1 Inductive Reasoning WS - **solutions**

2.1.2 Patterns and Inductive Reasoning WS

**READ: INDUCTIVE REASONING **

### 1.6 The Real Numbers

1.6 The Real Numbers powerpoint

In this lesson you will

●Learn to determine if a number is rational or irrational

● Rational number is a number that can be written as a ratio (fraction) of two integers with a nonzero denominator.

● An *irrational *number as a number that *cannot *be written as a ratio of two integers.

● The set of real numbers consists of the set of all rational numbers together with the set of all irrational

numbers.

**Worksheets used in school can be found here: **

### 1.5 Operations with Square Roots

1.5 Operations with Square Roots powerpoint

1.5 Operations with Square Roots pdf

In this lesson you will

● Learn about the **radical symbol;**

● Learn that an expression containing a radical symbol is called a **radical expression**.

● Learn that the value under a radical symbol is called the **radicand **.

● Learn how to use the Distributive Property to combine like terms in radical expressions.

**Worksheets used in school can be found here: **

### 1.4 Squares and Square Roots

### 1.3 Laws of Exponents

### 1.2 Scientific Notation

### 1.1 Integer Exponents

### 1.8 Space Geometry

In this lesson you will

● Learn about the **space**

● Learn the names of common three-dimensional objects and how to draw them

● Solve problems that require you to visualize objects in space

The work you have done so far has involved objects in a single plane. In this lesson you will need to visualize objects in three dimensions, or space.

In geometry, it is important to be able to recognize three-dimensional objects from two-dimensional drawings, and to create drawings that represent three-dimensional objects.

**READ: ****SPACE GEOMETRY**** ** **CHAPTER 1 TEST REVIEW**

### 1.7 Isometric Drawing

1.7 Isometric Drawings powerpoint

In this lesson you will

● Learn about the **space**

● Learn how to do the Isometric Drawing

● Solve problems that require you to visualize objects in space

The work you have done so far has involved objects in a single plane. In this lesson you will need to visualize objects in three dimensions, or space.

In geometry, it is important to be able to recognize three-dimensional objects from two-dimensional drawings, and to create drawings that

represent three-dimensional objects.

1.7.2 More Isometric Cube Shapes WS

**READ: ****SPACE GEOMETRY**

### 2.6 Special Angles on Parallel Lines

2.6 Special Angles on Parallel Lines powerpoint

2.6 Special Angles on Paralel Lines pdf

In this lesson you will

● Make three conjectures about the angles formed when two parallel lines are intersected by a **transversal**

● Determine whether the converse of each conjecture is true

● Prove one of the conjectures assuming one of the other conjectures is true

A line that intersects two or more coplanar lines is called a **transversal**. There are three types of angle pairs formed when a transversal intersects two lines. In the investigation you will look at the angles formed when a transversal intersects two *parallel* lines.

2.6.1 Special Angles on Parallel Lines WS

2.6.2 Angles Associated with Parallel Lines WS

### 2.5 Angle Relationships

2.5 Angle Relationships powerpoint

In this lesson you will

● Make a conjecture about angles that form a **linear pair**

● Make and prove a conjecture about pairs of **vertical angles**

● Write the **converse **of an “if-then” statement and determine whether it is true

In this lesson you will use inductive reasoning to discover some geometric relationships involving angles.

2.5.1 Investigation Linear and Vertical Pair of Angles

2.5.3 Prove Angle Pair Relationships WS

**READ: ANGLE RELATIONSHIPS**

### 1.6 Circles

1.6 Parts of the Circe (Part 1) powerpoint

1.6 Parts of the Circe (Part 1) pdf

1.6 Parts of the Circe (Part 2) powerpoint

1.6 Parts of the Circe (Part 2) pdf

In this lesson you will

●Learn the definition of circle

●Write definitions for chord,diameter,and tangent

●Learn about three types of arcs and how they are measured

A circleis the set of all points in a plane that are a given distance from a given point.The given distance is called the radius and the given point is called the center.

1.6.3 Using Compas and Identify Parts of the Circles Activity

**READ: ****CIRCLES**

### 1.5 Triangles and Quadrilaterals

1.5 Triangles and Special Quadrilaterals powerpoint

1.5 Triangles and Special Quadrilaterals pdf

In this lesson you will

●Learn how to interpret geometric diagrams

●Write definitions for types of triangles

●Write definitions for special types of quadrilaterals

When you look at a geometric diagram,you must be careful not to assume too much from it.For example,you should not assume that two segments that appear to be the same length actually are the same length,unless they are marked as congruent.

1.5.1 Triangles and Special Quadrilaterals WS

1.5.2 Quadrilaterals Toolkit WS

**READ: TRIANGLES READ: QUADRILATERALS **

### 1.4 Polygons

In this lesson you will

●Learn the definition of polygon

●Learn the meaning of terms associated with polygons,such as concave,convex,equilateral,equiangular,and regular

●Identify congruent polygons

A polygon is a closed figure in a plane,formed by connecting line segments end point to endpoint with each segment intersecting exactly two others.

**READ: POLYGONS**

### 1.3 Defining Angles

1.3 Defining Angles powerpoint

In this investigation we will write definitions for some important terms related to angles.

1.3.1 Investigation - Defining Angles WS

**READ: WHAT’S A WIDGET?**

### 1.2 Poolroom Math

In this lesson you will

●Learn about angles and how to measure them

●Identify congruent angles and angle bisectors

●Use your knowledge of angles to solve problems involving pool

An angle is two rays with a common endpoint, provided the two rays do not lie on the same line.

1.2.2 Poolroom Math Worksheet WS

**READ: POOLROOM MATH**

### 1.1 Building Blocks of Geometry

1.1 Building Blocks of Geometry powerpoint

1. 1 Building Blocks of Geometry pdf

1.1. Midpoint of a Segment powerpoint

1.1. Midpoint of a Segment pdf

In this lesson you will

●Learn about points, lines,and planesand how to represent them

●Learn definitions of collinear,coplanar,line segment, congruent segments, midpoint,and ray

●Learn geometric notation for lines, line segments, rays,and congruence

Points,lines,and planesare the building blocks of geometry.

Using these threeundefined terms,you can define all other geometric figures and terms.Keep a list of definitions in your notebook.

1.1.1 Building Blocks in Geometry WS

**READ: BUILDING BLOCKS OF GEOMETRY**