Grades for the first six weeks of the second semester are posted. Please let me know if you think you see a mistake-- printing the progress report from the web and bringing in the incorrectly recorded papers is very helpful.
Overview
In today’s call we work extend our skills involving algebraic fractions to include working with mixed numbers. In addition, we also learn how to generalize our method of doing long division involving whole numbers to doing long division involving algebraic expressions.
Textbook Sections
§6.6 (Txt. p.270) Mixed Expressions
§6.7 (Txt. p274) Polynomial Long Division
Key Attitudes
Mathematics is about generalizing and applying patterns.
Key Ideas
In order to add fractions, you have to have the same size pieces; you have to have common denominators.
Finding a common denominator requires that you adjust the numerator.
Long division of polynomials works just like long division of whole numbers.
Key Skills
Finding the LCD
Adding expressions
Multiplying expressions
Handouts
No Handouts Posted
Assignment
§6-6 (Txt. p.271) 5-16
§6-7 (Txt. p.276) #1-6
Overview
Today we focus on proving triangles simialr.
Textbook Sections
§8.5 (Txt. p.488) Proving Triangles Similar
Key Attitudes
Mathematics is about justification.
Key Ideas
Triangles can be proved to be similar by showing that:
two angles are congruent (AA Similarity Theorem)
the sides of the triangles are proportional (SSS Similarity Theorem)
two sides are proportional and the included angle is congruent (SAS Similarity Theorem)
Key Skills
Proving triangles similar
Handouts
Chpater 8: Lesson 5- Are they Similar?
Assignment
Chapter 8 Lesson 5- Similarity Proofs
Announcements
Wednesday we have a school wide problem solving quiz-- the score can only help your grade.
Overview
After reviewing student work from last class, I have decided to postpone the quiz until next week. Instead we will practice adding and subtracting rational expressions today.
Textbook Sections
§6-5 (Txt. p.264) Adding and Subtracting Fractions
Key Attitudes
Mathematics is about generalizing and applying patterns.
Key Ideas
In order to add fractions, you have to have the same size pieces; you have to have common denominators.
Finding a common denominator requires that you adjust the numerator.
Key Skills
Finding the LCD
Adding expressions
Multiplying expressions
Handouts
No Handouts Posted
Assignment
Practice Worksheets 17.9, 17.10, 17.11, 17.12
Overview
Today we wrap-up our work on Chapter 8: Lesson 4 where we examine a different method for setting up proportions involving similar triangles formed when a line intersects the sides of a triangle and is parallel to the third side. As time permits we also begin our work with proving triangles similar.
Textbook Sections
§8.4 (Txt. p.480) Similar Triangles
§8.5 (Txt. p.488) Proving Triangles SImilar
Key Attitudes
Mathematics is about justification.
Key Ideas
If a line intersects the sides of a triangle, and the line is parallel to the third side, then the line divides the other lines into proportional
Key Skills
Using a scale factor to enlarge or reduce a triangle
Writing proportions when given two similar triangles
Calculating a scale factor when given two similar triangles
Measurement
Working with equivalent fractions
Handouts
No Handouts Posted
Assignment
Finish Chapter 8 Lesson 4 (Due next class)
§8.4 (Txt. p.485) #40, 41, 45, 46
Quiz Corrections
Weekly Summary
Announcements
Wednesday we have a school wide problem solving quiz-- the score can only help your grade.
Overview
Today we continue our work with adding and subtracting algebraic fractions with a focus on getting common denominators involving variables.
Textbook Sections
§6-5 (Txt. p.264) Adding and Subtracting Fractions
Key Attitudes
Mathematics is about generalizing and applying patterns.
Key Ideas
In order to add fractions, you have to have the same size pieces; you have to have common denominators.
Finding a common denominator requires that you adjust the numerator.
Key Skills
Finding the LCD
Adding expressions
Multiplying expressions
Handouts
No Handouts Posted
Assignment
§6-5 (Txt. p.267) #7-12, 38-43
§6-4 (Txt. p.262) #33-38
Overview
Today, which looks like it will be sunny, students will take quiz 7 which focuses on using the ideas related to similar triangles. In addition, they will be going outside to put similarity to work in order to measure the height of the gym and the flag pole.
Textbook Sections
§8.4 (Txt. p.480) Similar Triangles
Key Attitudes
Mathematics is about justification.
Key Ideas
If triangles are similar, their corresponding sides are proportional.
If you know three values in a proportion, you can solve for the fourth value.
Key Skills
Using a scale factor to enlarge or reduce a triangle
Writing proportions when given two similar triangles
Calculating a scale factor when given two similar triangles
Measurement
Working with equivalent fractions
Handouts
No Handouts Posted
Assignment
§8.4 (Txt. p.483)18-26, 39-42, 53
Chapter 8: Lesson 2
Announcements
The second quiz for the second semester will be next Friday (2/23)— make sure to review your homework assignments and your corrections from your last quiz!
Overview
Today we pull together many of the skills we have been building-- factoring, finding LCD’s, multiplying expressions, adding expressions, and simplifying expressions.
Textbook Sections
§6.5 (Txt. p.264) Adding and Subtracting Fractions
Key Attitudes
Mathematics is about generalizing and applying patterns.
Key Ideas
In order to add two fractions, the denominators need to be the same.
Key Skills
Finding the LCD
Adding expressions
Multiplying expressions
Handouts
No Handouts Posted
Assignment
§6-5 (Txt. p.264) #1-6, 35-37
§6-4 (Txt. p.262) #27-32
§6-3 (Txt. p.256) #19-22