Tuesday

Intermediate Algebra

Properties of Exponent

Homework:

Pg. 99 # 60, 62, 64

Assignments:

• Do Now
• Focus Questions
• Notes - order of operations and a few properties of exponents

Today's Do Now:

See Classroom Bulletin wall

Today's Focus Questions
1. Describe the steps to simplifying this expression:
2. Compare & contrast taking the powers of each of these two expressions:
a. (-3)^2 and (-3)^3 [Note "^" the carrot means "to the power of"]
b. (-1)^4 and (-1)^5
3. What did you notice from # 2 when you find the power of a negative number with even and odd exponents?

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Geometry

Special Pair Angles

Homework: pg. 123 # 4, 5, 6

Assignment:

• Do Now
• Focus Questions
• Investigation - Special Pair Angles

Today's Do Now:

Pg. 116 #4

Today's Focus Questions

1. State the linear pair conjecture and provide an example.
2. State the vertical angles conjecture and provide an example.

Monday

Intermediate Algebra

Order of Operations

Homework:

Pg. 91 # 62, 64, 70

Assignments:

• Do Now
• Focus Questions
• Notes - order of operations and a few properties of exponents

Today's Do Now:

Use the distributive property to expand and simplify each expression:
1. 5(x – 4)
2. x(y – 2)
3. 2x(5 + y)
4. ¼ (8x + 28)

Today's Focus Questions:
1. Does order matter when adding or subtracting? Explain.
2. Does order matter when multiplying or dividing? Explain.
3. What is a purpose of the distributive property?

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Geometry

Party Handshakes

Homework: pg. 116 # 3, 10

Assignment:

• Do Now
• Focus Questions
• Investigation - Party Handshakes

Today's Do Now:

Pg. 109 #5, pg. 110 #7

Today's Focus Questions
1. What is a mathematical model? Give an example of a situation and what kind of mathematical model would be used for this representation.
2. Explain how you used inductive reasoning in today’s investigation.

Friday - Turn in Packet Today

Intermediate Algebra
Ch. 1 Test

Homework:
None, relax, & have a great weekend!

Assignments:

• (Do Now)
• Turn in Packet 4
• Ch. 1 Test

Today's Do Now:
Refer to classroom bulletin

No focus questions today.
________________________________________
Geometry
Finding the nth term

Homework:
pg. 109 #2, 4

Assignment:

• Do Now
• Focus Questions
• Investigation
• Notes
• Turn in Packet 4

Today's Do Now:
1. Triangle DGT is isosceles with TD = DG. If the perimeter of Triangle DGT is 756cm and GT = 240 cm, then DG = ? . What type of reasoning do you use, inductive or deductive reasoning, when solving this problem?

2. The definition of a parallelogram says, “if both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram.” Quadrilateral LNDA has both pairs of opposite sides parallel. What conclusion can you make? What type of reasoning did you use?

Today's Focus Questions:
1. When finding a rule in a number pattern, why is it important to find the difference?
2. Describe how you would find the rule to this pattern:

n___ 1__ 2__ 3__ 4 __ 5__ 6__ …__ n__ …__ 20
f(n)_-4__ 4_ 12__ 20_ 28_ 36_ … ___? __… __?

Block Days: Wednesday & Thursday

Intermediate Algebra
Review Day

Homework:

Prepare Cornell Notes
Have all three parts!!!

• Left Column - Questions & Topics
• Right Column - Notes
• Bottom - Summary

Assignment:

• Do Now
• Practice Test
• Prepare Cornell Notes

Today's Do Now:
See Classroom Bulletin board

No Focus Questions today.
_______________________________________
Geometry:
Deductive Reasoning

Homework:
pg. 103 #2, 3

Assignment:

• Do Now
• Focus Questions
• Notes
• Investigation - overlapping segments

Today's Do Now:

1. Using inductive reasoning, draw the next shape in the picture pattern:
(Image not shown)

2. Make a conjecture based on your observation of this pattern:
1, 2, 4, 8, 16, 32, ___, ____


Today's Focus Questions:

1. Describe deductive reasoning.
2. Give an example of a situation that you would use deductive reasoning in real life.
3. Compare & contrast inductive and deductive reasoning.

Tuesday

Intermediate Algebra

Absolute Value Equations

Homework: 

pg. 68 # 26, 32, 36:
26. |x – 5| = 12
32. |3x + 12| = 18
36. |10 – 3x| + 5 = 2

Assignment:

• Do Now
• Focus Questions
• Notes - Absolute Values

Today's Do Now:

Refer to classroom bulletin

Today's Focus Questions:

1. What is the absolute value?
2. What situation can the absolute value notation express?
3. Explain why the equation |3x – 5| + 4 = 3 has no solution.

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Geometry

Ch. 1 Test

Homework:

Relax, no homework

Assignment:

• Do Now
• Chapter 1 Test

Today's Do Now:

1.  Find the midpoint coordinate of a line segment with endpoints P(5, -10) and Q(7, -8)

2.  What is one similarity and one difference between a parallelogram and a rectangle?

No Focus Questions Today

Monday

Intermediate Algebra
Compound Inequalities

Homework: pg. 59 # 52, 58, 62.

Assignments:

• Do Now
• Focus Questions
• Notes
  

Today's Do Now:
Solve each inequality and graph on a number line:
1. -5x <=30 2. 4y -12 > 7y -15
3. -5(3x + 2) >=4(x - 1)

Today's Focus Questions:

1. Define compound inequality.
2. Describe the differences between an inequality and a compound inequality.
3. Describe the steps to graphing a compound inequality.
___________________________________________
Geometry
Review Day

Homework:

Prepare your Cornell notes.

It must include all 3 components

• Left column – questions & topics
• Right column – notes
• Bottom – summary

You can only use your Cornell notes on the test if it has all of these parts!!!

Assignment:

• Do Now
• Practice Test
  

Today's Do Now:
1. Using a compass, construct a circle with a 2 inches radius. Label the center and the radius.
2. Using a protractor, construct an angle with angle measurement of 50 degrees.
3. Name this polygon. Name all of the vertices and draw in all of the diagonals. (image not shown)

No Focus Questions Today

Friday - Turn in Packet Today

Intermediate Algebra:
Solving Inequalities

Homework:
pg. 58 # 20, 38, 44

Assignments:

• Do Now
• Focus Questions
• Notes
• Collaborative Drafting
  

Today's Do Now:

1. Solve the equation: (1/6) x + (3/2) = 2
2. Graph each inequality on a separate number line
a. x <>= -3 (x greater than or equal to -3)

Today's Focus Questions:

1. State the difference between what an equation and what an inequality represents. (besides the actual signs)
2. Describe a situation where it is necessary to have inequalities than equalities (equations).
3. When solving inequalities, why do remember the rule “flip the inequality sign when multiplying or dividing by a negative number”? Example: -5x < 10
______________________________________
Geometry:
Inductive Reasoning

Homework:
Page 97 # 21

Assignment:

• Do Now
• Focus Question
• Notes
• Investigation: Shape Shifters pg. 96

Today's Do Now:

Find the next two terms in each sequence
1. 1, 10, 100, 1000, ? , ? …
2. 7, 3, -1, -5, -9, -13, ? , ? …
3. 1, 1, 2, 3, 5, 8, 13, ? , ? …
4. Find the next picture in this pattern (image not shown here)

Today's Focus Questions:
1. What is inductive reasoning and in what situations would you use it?
2. In question 4 of the do now, describe the strategies you used to find the next picture in the pattern.
3. Create your own number pattern. Give the first five terms. Then give it to someone to figure out the next two numbers.

Block Days: Wednesday & Thursday

Intermediate Algebra
Literal Equations

Homework:

pg. 49 #48, 50, & 54

Assignments:

• Do Now
  
• Focus Questions
• Notes
• Quiz
  

Today's Do Now:
Solve each equation:
1. -2x – 7 = 9
2. -4x – 3 = x +7
3. 5x +3 = 2x
4. -(3/5) x + 12 = 4

Today's Focus Questions:

1. Describe a literal equation?
2. Describe the steps to solving for b in the equation: (1/2)bh = A
__________________________________________
Geometry
Circles

Homework:
pg. 70 #11

Assignments:

• Do Now
• Focus Questions
• Presentations
• Notes
• Investigation

Today's Do Now:

Write whether or not you can assume the following statements:
1. A regular octagon has all equal sides.
2. A pair of angles are congruent.
Based on the marks, what can you assume to be true for each figure?
3. Image not shown 4. Image not shown

Today's Focus Questions:
1. Define a “circle”.
2. How are the radius and diameter related?
3. Draw a circle and construct a central angle of 50 degrees. What is the minor arc measure of this circle created by the angle?

Tuesday

Intermediate Algebra
Solving Equations

Homework:

Solve each equation: pg. 49 #16, 26, & 32

Assignment:

• Do Now
• Focus Question
• Notes
• Collaborative Drafting

Today's Do Now:

Solve each equation
1. -12 + r = 3 3. (-12/p) = 3
2. -12b = 3 4. -12 – m = 3

Today's Focus Questions:

1. What are the similarities and differences of equations and expressions?
2. Describe “terms” in an equation or expression.
3. Describe the steps to solving this equation: 4x + 80 = -6x

______________________________________
Geometry
Triangles & Special Quadrilaterals

Homework:

Write 2 statements that you can assume and two statements that you can’t assume (total of 4 statements). It can be about geometry or other things relating to math.

Assignment:

• Do Now
• Focus Questions
• Notes: Assumptions
  
• Investigation

Today's Do Now:

1. Classify each polygon. (figures not shown)
2. Draw an example of a quadrilateral and an octagon.
3. Name a pair of consecutive angles and a pair of consecutive sides (figure not shown)

Today's Focus Questions:

1. Define the word “assume”.
2. How can you be sure if a pair of lines is parallel?
3. In a drawing, show that two line segments are congruent and two angles are congruent.

Monday

Intermediate Algebra
Scatter Plot

Homework:
Create your own scatter plot. Include a data table and the graph. You can make up your own data or get them from a source (Internet, book, magazine, etc.)

Assignment:

• Do Now
• Focus Question
• Scatter Plot Activity
  

Today's Do Now:
Graph each point in the same coordinate plane (x – y axes)
1. A(1, 400)
2. B(3, 300)
3. C(6, 150)
4. D(8, 50)

Today's Focus Questions:

1. What is the difference between a scatter plot and a graph of a line?
2. Define correlation.
3. What does it mean to have a scatter plot with a negative correlation or a positive correlation?
______________________________________
Geometry
Polygons

Homework:
Create a design using
• at least 3 different polygons
• The total number of polygons in your design must be at least 15
• and they must all connect.

Assignment:

• Do Now
• Focus Questions
• Notes: Polygons

Today's Do Now:

True or False? Provide a sketch to support your answer.
1. If two lines intersect, then they intersect at one and only one point.
2. If two different circles intersect, then they intersect at one and only one point.
3. In every triangle, there is exactly one right angle.
4. If CA = AT, then A is the midpoint of CT.

Today's Focus Questions:

1. Compare & contrast equilateral polygon and equiangular polygon.
2. Describe a regular polygon.
3. What is an n-gon?

Friday - Turn in Packet Today

Intermediate Algebra
Direct Variation & Proportion

Homework:

Write a word problem that requires equation of direct variation and proportion to solve the problem. Solve the problem and graph it.

Assignments:

• Do Now
• Focus Questions
• Notes

Today's Do Now:

Solve each Equation:
1. 27 = c (-4)
2. -8 = (3/4)z
3. (k/4) = -20
4. (n/2) = (5/8)
5. 2(4y + 1) = 3y

Today's Focus Questions:

1. Suppose that y varies directly as x and y=18 when x = 9. Describe how you would find an equation of direct variation that relates these two variables.
2. When are linear equations NOT direct variations? How do their graphs differ from those of direct variations.
3. How is direct variation equations related to proportions?
___________________________________________
GEOMETRY
Defining Angles

Homework:

Draw an example of each angle (7 total). Label each type of angles and any symbols to represent congruency and measurements.

Assignments:

• Do Now
• Focus Questions
• Investigation: Defining Angles
  

Today's Do Now:

Using a protractor and straightedge construct:
1. A 70 degrees angle and name it.
2. A triangle so that one angle is 110 degrees
3. An angle that has an angle bisector. Label each actual angle measurement.
4. Write down what you know from the markings in the figure

Today's Focus Questions:

1. Compare and contrast a pair of complementary angles and a pair of supplementary angles.
2. Compare and contrast pair of vertical angles and linear pair of angles.
3. What is the difference between supplementary pair of angles and a linear pair of angles?

Block Days: Wednesday & Thursday

Intermediate Algebra
Parallel & Perpendicular Lines

Homework:

Write an equation in slope-intercept form for the line that contains point (6, -5) and is

• parallel to the line 2x -5y = -3
• perpendicular to the line 2x + 5y = 3

Assignments:

• Do Now
• Focus Questions
• Exploring Parallel & Perpendicular Lines
• Notes
• Practice Problems

Today's Do Now:

1. Tina leaves home and drives at a constant speed to college. On her way to the campus, she stops at a restaurant to have lunch. Two hours after leaving the restaurant, Tina has traveled 130 miles, and 4 hours after leaving the restaurant, she has traveled 240 miles. How far from home was Tina when she had lunch?

Today's Focus Questions:

1. Describe how to determine whether the lines 5x + 6y = 12 and 6x – 5y =15 are parallel, perpendicular, or neither.
2. Explain how to write the equation for the line that contains the point (3, -1) and is perpendicular to the line x + 2y = 4
__________________________________________
Geometry
Angles & Poolroom Math

Homework:

Using your straight edge (or ruler) and a protractor, create five different angles. Include the angle measurement and name each angle.

Assignments:

• Do Now
• Focus Questions
• Notes
• Investigation: Virtual Pool
  

Today's Do Now:

1. Find the midpoint of a line segment that has the endpoints (14, -7) and (-3, 18)
2. Find one of the endpoints of a line segment given that the midpoint is (2, 4) and the other endpoint is (-8, 10)

Today's Focus Questions:

1. Describe how to use a protractor to measure an angle.
2. How do you name an angle?
3. What makes angles congruent?
4. Does it make sense that sides of angles are rays? Explain.

Tuesday

Intermediate Algebra
Linear Equations in 2 Variables

Homework:

Compare and contrast parallel lines and perpendicular lines.

Assignments:

• Do now
• Focus Questions
• Notes
• Practice Problems
  

Today's Do Now:

1. Use the intercepts of the equation 2x + y = 8 to graph the line.
2. Find the slope of the line containing the points
(-1, 12) and (5, -6)

Today's Focus Questions:

1. Compare and contrast slope – intercept form and the point – slope form.
2. Which form mentioned in #1 do you prefer? Why?
3. Describe what information is required to use slope – intercept form. What information is required to use point – slope form?
________________________________________
Geometry
Midpoint & Angles

Homework:

• Bring a protractor
• Give 3 examples in the real world that involves angles.
• Define congruence

Assignments:

• Do Now
• Focus Questions
• Notes (Midpoint Property)
  
• Midpoint Exercise
• Notes (Angles)
  

Today's Do Now:

1. Name each midpoint and the segment it bisects. (Image of triangle not here)
2. Draw two segments that have the same midpoint. Mark your drawing (tick marks) to show congruent segments.

Today's Focus Questions:

1. In your own words, describe a midpoint.
2. Which of the following: a line, a line segment, or a ray can have a midpoint? Why can’t the other two have midpoints?
3. What real word situation is important to know the measurement of angles? Why?

Monday

Intermediate Algebra
Slopes & Intercepts

Homework:

Graph a vertical and a horizontal line. Label its equation and find their slopes. Show all work.

Assignments:

• Do Now
• Focus Questions
• Notes

Today's Do Now:

1. Identify the slope and the y – intercept. Then graph

• a. y + 2x = 0

• b. -3x + y = -6

2. Given 2 points of a line ( 6, -2) and (-3, 4), find the linear equation for this line.

Today's Focus Questions:

1. Name two ways to write an equation of a line given its graph.
2. Why does a vertical line have an undefined slope?
3. Why does a horizontal line have no slope?
___________________________________________
Geometry
Building Blocks of Geometry

Homework:

Choose five new geometry terms we’ve learned today and give an example for each.

Assignment:

• Write Now
• Focus Questions
• Notes (terminology)
• Exercise

Today's Write Now:

1. What is the difference between 1 – dimension and 2 – dimension?
2. Define the word line in your own words.
3. What do you think of when you hear the word plane?

Today's Focus Questions:

1. Compare and contrast a point and a line.
2. Compare and contrast a line segment and a ray.
3. Compare and contrast collinear and coplanar.

Friday - Turn in Work Today

Intermediate Algebra
Slopes & Intercepts

Homework:

Write two linear equations with positive slopes and two linear equations with negative slopes. Graph each equation

Assignments

• Do Now
• Focus Questions
• Notes
  
• Practice Problems
• Turn in Packet 1 ch. 1 (09/02/08 - 09/05/08)
  

Today's Do Now:

1. Graph the equation y = -4x + 3.
2. Graph the equation y = (1/3)x + 5

Today's Focus Questions:

1. Define slope of a linear equation in your own words.
2. What is the purpose of having an equation in slope-intercept form?
_________________________________________________
Geometry
Circle Design

Homework:

# 3 pg 12: Create a 6-petal daisy and color it so that it has rotational symmetry but not reflectional symmetry.

Assignments:

• Write Now
• Focus Questions
• Circle Design Activity
• Turn in Packet 1 ch. 0 (09/02/08 - 09/05/08 - except circle design activity)
  

Today's Write Now:

1. What difficulties did you have with your homework?
2. What is the difference between a circle and an oval? (Think about the different symmetries)

Today's Focus Questions:

1. Describe the relationship between circles and regular hexagons?
2. Explain the steps to making a circle using a compass.
3. Did you enjoy the circle design more than the line design? Why?

Thursday

Intermediate Algebra
Tables & Graphs

Homework:
Write five different equations that are linear. Identify the slope and y-intercept for each equation.

Assignments:

• Write Now
• Focus Questions
• Notes (tables, graphs, y = mx + b)

Today's Write Now:
1. What difficulties did you have with your homework? Why?
2. Explain how you would graph the equation y = x + 3.

Today's Focus Questions:
1. Explain how would you verify that the points (-1, 7), (0, 4), and (2, -2) are all on the same line?
2. What are some of the things in an equation that you can look for to see if it is a linear equation?
3. Given a data set, explain how to identify if the data has a linear relationship.
(12, -3); (9, -8); (6, -13); (3, -18).

_______________________________________

GEOMETRY
Line Design

Homework:
Create your own Line Design

Assignments:

• Write Now
• Focus Questions
• Line Design Activity
  

Today's Do Now:
1. Create a simple design that has two lines of reflectional symmetry.
2. Does it have rotational symmetry?
3. Now try to create another design with two lines of reflectional symmetry without rotational symmetry.

Today's Focus Questions:

1. What are the basic tools of geometry?
2. What did you learn when you were creating your line design?

Wednesday

Intermediate Algebra:
Tables & Graphs of Linear Equations

Homework:

Give an example of something with a linear relationship. Be creative! Explain why the relationship is linear.

Assignments:

• Write Now
• Focus Questions
• Notes

Today's Write Now:
1. What comes to mind when you hear linear relationship (in a math class)?
2. Explain everything you know about the relationship between table, graphs, and linear equations.

Today's Focus Questions:
1. Give a real life example that has a linear relationship
2. What would the equation for this relationship look like? Its graph?
3. What strategies do you use to graph a line? Why is this method effective for you?
_______________________________________

GEOMETRY
Geometry in Nature & in Art

Homework:

Finish Focus Questions

Assignments:

• Write Now
• Focus Questions
• Notes
• Symmetry Activity (pg. 5 #4 & 6)

Today's Write Now:
1. Explain what is geometry to you.
2. Where can you find geometry?
3. Who uses geometry?
4. Why do you think we study geometry?

Today's Focus Questions:

1. Name two objects from nature whose shapes are hexagonal.
2. Describe some ways that artists use geometry.
3. What type of symmetry has only one line of symmetry? Name 3 objects with one line of symmetry

Welcome Back to School 2008-09!

Welcome math students!
This site should be useful to you. You can find assignments and announcements here.
_________________________________________
Intermediate Algebra

Assignments:

• Write Now: Math Autobiography
• Homework: 3 Questions/comments about syllabus
• Download Course Syllabus

_________________________________________
Geometry

Assignment:

• Write Now: Math Autobiography
• Homework: 3 Questions/comments about syllabus
  
• Download Course Syllabus

Labor Day

No School.