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Sunday, June 27, 2010

Algebra: Graphing and Functions

Remembering: 

1. Define the following using the VOCABULARY EXPANSION CHART: relation, function, domain, range, linear function, nonlinear function, slope, intercept

Understanding:

1.  Review the difference between a relation and a function.  

2.   Practice identifying functions with graphs and sets. 

3. Review what slope is, how to find it, and how to create graphs given the equation of a line in slope intercept form.   Do the practice problems. 

4. Read about how to graph inequalities.  Then practice on your own.

5. Video on how to solve systems of equations using elimination.  

6. Overview of how to solve systems of equations. 

7. Practice solving systems of equations.  

 Applying:

 

Complete the REVIEW (pg. 233) and check your answers with the KEY.  Revise any missed problems.  Ask questions!  Make sure you understand WHY you missed each problem. 

 

Analyzing/Evaluating/Creating: Choose 2.

1. On graph paper, draw three lines that represent functions.  

2. Draw a straight line on graph paper, then figure out the equation for the line. Label any intercepts. 

3. Shade an area of a graph and write an inequality to represent the shaded area. 

Saturday, June 26, 2010

Data Analysis and Probability

Remembering: 

1. Define the following using the VOCABULARY EXPANSION CHART: set, union, intersection, subset, universal set, complement, outcomes, probability, scatter plot, correlation (positive, negative, constant, no)

Understanding:

1.  Review of venn diagrams and set notation.  Read pages 2-4.  

2.   Review the multiplication counting principle. 

3. Review and practice on the principles of probability.  

4. All about scatter plots. Think you got it?  Let's find out.... 

 Applying:

 

Complete the REVIEW (pg. 233) and check your answers with the KEY.  Revise any missed problems.  Ask questions!  Make sure you understand WHY you missed each problem. 

 

Analyzing/Evaluating/Creating: Choose 3.

1.  Create a set of numbers A, then create a subset and its complement.  Draw a venn diagram to represent the relationship between the sets. 

2. 

Algebra: Equations, Expressions, Inequalities

Remembering: 

1. Define the following using the VOCABULARY EXPANSION CHART: expression, equation, variable, inequality, order of operations, inverse operation. 

Understanding:

1. Practice creating equations using the variable machine.   Don't forget to use the Order of Operations

2. Read through and do the Solving Equations activities on pages 1-4 of this site.  Then take the test to see if you get it.  

3. Watch the video explaining how to solve inequalities.   Summarize the rules and add them to your list.   

4. Watch the video.  Then read through and do the activities on solving inequalities on pages 1-4 of this site.  Then take the test to see if you get it. 

5.  Even more practice graphing inequalities on a number line.  The problems get harder as you go... How far can you get? 

 Applying:

Complete the REVIEW (pg. 122) and check your answers with the KEY.  Revise any missed problems.  Ask questions!  Make sure you understand WHY you missed each problem. 

 

Analyzing/Evaluating/Creating: Choose 2.

1. Write a word problem that requires the use of a variable to solve. Solve it. 

2. Create some algebraic expression flash cards.  Write the words on one side and the symbols on the other.   Example: 3x-6 would be on one side and "Six less than three times a number" would be on the other. 

3. Write 4 inequalities and then graph them on a number line.  

Geometry

Remembering: 

1. Define the following using the VOCABULARY EXPANSION CHART: parallel lines, perpendicular lines, intersecting lines, transversal, adjacent angles, vertical angles, complementary angles, supplementary angles, pythagorean theorem, congruent polygons, reflection, rotation, translation, dilation.  

Understanding:

1. Review the rules for the types of angles.  Summarize the rules and add them to your list.  

2.  Test your knowledge of the types of angles.

3. Review the types of transformations.  Summarize the rules and add them to your list.  Then complete at least two of the practice problems.  

4. Test your knowledge and identify the transformations.  

5. Review the information on congruence and similarity.  Write a rule to tell the difference between congruent and similar polygons. 

6. Read the information about the Pythagorean Theorem and add at least one rule to your rule sheet.   Complete Question 1 and 2 at the bottom of the page.  

 Applying:

 

Complete the REVIEW (pg. 79) and check your answers with the KEY.  Revise any missed problems.  Ask questions!  Make sure you understand WHY you missed each problem. 

 

Analyzing/Evaluating/Creating: Choose 3.

1. Solve the puzzle by bisecting the polygon into 5 congruent polygons.  

2. Draw two congruent polygons.  Label the sides and angles.

3. Draw a pair of parallel lines with a transversal.  Measure and label the angles. 

4. Draw a right triangle.  Measure the sides and use the Pythagorean Theorem to test the accuracy of your drawing.  

5. Write or draw a diagram that is a proof for the Pythagorean Theorem.  

Numbers and Operations

Remembering: 

1. Define the following using the VOCABULARY EXPANSION CHART: Integer, real number, irrational number, rational number, square root, exponent, perfect square, radical

Understanding:

1. Go to this site.  Scroll down to the Number System Descriptions and review them, then complete the Munchers game. 

2. Watch the video at http://www.youtube.com/watch?v=rHyaXYtjqvY .

3. Go to http://www.themathpage.com/alg/simplify-radicals.htm#simplest

and practice simplifying radicals.  DO THE WORK WITHOUT LOOKING AT THE ANSWERS. 

4. Review the page on the Properties of Exponents.  Summarize the rules and add them to your rule sheet.  

5. Complete the exponents practice problems.

 Applying:

 

Complete the REVIEW (pg. 49) and check your answers with the KEY.  Revise any missed problems.  Ask questions!  Make sure you understand WHY you missed each problem. 

 

Analyzing/Evaluating/Creating: Choose 2.

1. Why do you think irrational numbers are called irrational?

2. Write a rule for telling the difference between an irrational and a rational number.

3. Draw a diagram that you could use to represent the idea of a square number

4. Write a word problem that requires the use of square roots.