Archive for Algebra

Algebra Week of 11-23-09

Monday:  Review for Tuesday’s Assessment and work on AIA Project

Tuesday:  Weekly Assessment 2 Term 2 (Re-Assessment)

Learning Targets Covered;

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Algebra week of 11/16/2009

Monday:  Parallel and Perpendicular

Learning Target:  Students will find lines parallel and perpendicular to a given line.

  • Warm-up
    • 5-Minute Check over slope intercept form
    • Discuss learning target for assessment
  • Graph an equation in standard form on graph paper.
    • How can you write it in slope-intercept form?
    • Translate the line two units down. (parallel)
    • Write an equation of this new line in slope-intercept form.
    • How can you write an equation to a line parallel to another through a certain point?
    • How can you create a perpendicular line to this one?
      • Rotate the line 90º counterclockwise (transformations)
      • What changes in a perpendicular line?
      • How can you find the perpendicular line through another point?
  • AIA Project (Triangulation)
    • Students need instruction sheet, straight edge, and graph paper.
    • Students will have times during class in which they can meet with another student of a different color and ask specific questions related to this project.
  • Student Work Time
  • AIA Project will be due Friday

Tuesday:  Parallel and Perpendicular

Learning Target:  Students will find lines parallel and perpendicular to a given line.

  • Warm-up
    • 5-Minute Check over all forms of linear equations
    • Discuss learning target for assessment
  • How do you gather information to write equations to lines parallel and perpendicular to other lines on a graph through other points? 
    • How can you write a line parallel to another line through another point?
    • How can you find the perpendicular line through another point?
  • AIA Project (Triangulation)
    • Students need instruction sheet, straight edge, and graph paper.
    • Students will have times during class in which they can meet with another student of a different color and ask specific questions related to this project.
  • Student Work Time
  • AIA Project will be due Friday
  • Quick review of Arithmetic sequences for the assessment.

Wednesday:  Weekly Assessment 2 Term 2

Learning Targets Covered;

  • Students will Find rules for Arithmetic Sequences
    • Extra Practice in Text Chapter 4 Lessons 7 & 8
  • Students will recognize and write different forms of linear equations.
    • Extra Practice in Text Chapter 5 Lessons 1-5
  • Students will find lines parallel and perpendicular to a given line.
    • Extra Practice in Text Chapter 5 Lesson 6
  • AIA Project Work Time

Thursday:   Parallel and Perpendicular Lines

Learning Target:  Students will find lines parallel and perpendicular to a given line.

  • Interactive Chalkboard lesson on parallel and perpendicular lines
    • How do write equations of line parallel?
    • How do you write equations to lines perpendicular?
  • Class Practice with parallel and perpendicular lines

Friday:  Systems of Equations

Learning Target:  Students will find the intersection in a system of equations.

  • Learning Target Pre-Test
    • Students will be given and/or can use;
      • A problem/task
      • Graph paper
      • Computer paper
      • Ruler/straight edge
      • Calculator
      • Pencil
    • Students will do their best to answer the question given with whatever problem solving strategy/strategies they can use.
    • Complete the question fully
    • Fill out a problem solving survey when completed
    • Work on AIA Project until all had a chance to be successful.
  • What is a system of equations?
    • Explore the AIA project to find where equations cross
    • Will there always be a spot where lines cross?
    • Can there be more than one point where linear equations cross?
    • How can we find these locations?
  • AIA Projects are due

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Algebra Week of 11/9/09

Monday:  Forms of Linear Equations

Learning Target:  Students will recognize and write different forms of linear equations.

  • Slope-Intercept Form Warm-up (Textbook Lesson 5-3 & 5-4)
    • Write an Equations to a Line containing points (3, -2) & (6, 4)
    • What should the equations look like?
    • What do we need to write the equations?
    • How can we find them?
    • Where do they go once we find them?
    • Graph to Check
  • What other forms of linear equations are there?
    • Standard Form  ax + by = c where a > 0
    • Point-Slope Form  y – y1 = m(x – x1)
    • How do you write it?
    • How do you graph it?

WKCE TESTING Tuesday through Thursday (Shortened class times these days)

Tuesday:  Forms of Linear Equations

Learning Target:  Students will recognize and write different forms of linear equations.

  • 5-Minute Check over Slope-Intercept Form
    • How do you write an equation for a line in slope-intercept form?
  • How do you write an equation in standard form?
  • How do you write an equation in Point-Slope Form?
  • Class practice and review for assessment

Wednesday:  Weekly Assessment 1 Term 2

Learning Targets Covered;

Thursday:  Parallel and Perpendicular

Learning Target:  Students will find lines parallel and perpendicular to a given line.

  • Warm-up
    • Students will complete the selected problems from their text for practice.
    • Students will compare answers and check for understanding with a partner.
    • Class discussion about how to get the correct answer.
  • Graph an equation in standard form on graph paper.
    • How can you write it in slope-intercept form?
    • Translate the line two units down. (parallel)
    • Write an equation of this new line in slope-intercept form.
    • How can you create a perpendicular line to this one?
      • What changes in a perpendicular line?
      • How can you find the perpendicular line through another point?

Friday:  Parallel and Perpendicular (Continued)

Learning Target:  Students will find lines parallel and perpendicular to a given line.

  • Graph an equation in standard form on graph paper.
    • How can you write it in slope-intercept form?
    • Translate the line two units down. (parallel)
    • Write an equation of this new line in slope-intercept form.
    • How can you create a perpendicular line to this one?
      • What changes in a perpendicular line?
      • How can you find the perpendicular line through another point?
  • New AIA Project (Triangulation)
    • Individual project, but students can work with others as long as they do not have the same color sheet.
    • Students need instruction sheet, straight edge, and graph paper.
  • Student Work Time

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Algebra Week of 11/2/2009

Monday:  AIA Project Slope-Intercept Form

Learning Target: You will understand how to recognize and write different forms of Linear Equations.

  • Treasure Hunt follow-up
    • How do you use slope?
    • How do you find the slope of a line?
  • How do arithmetic sequences relate to linear equations?
    • What is slope?
    • Where can you find the other number?
  • AIA Project “Slope-Intercept Form”
    • Find Enemy Camps by following the slope path.
    • Write the roads in and out of the camps using slope intercept form.

Tuesday:  Final Assessment Review Day

Learning Targets:  All targets for the assessment this week.

  • AIA Project “Slope-Intercept Form” Q&A
    • What roadblocks in your project have given you trouble or you cannot pass?
    • What tips can we gather from other classmates?
  • Review for final assessment of the term.
  • 20 minute rotations
    • Group 1:  Correct last week’s assessment and ask questions.
    • Group 2:  Computer review of Learning Target.
    • Group 3:  Worksheet on Transformations and Arithmetic Sequence.

Wednesday:  Weekly Assessment 8

Learning Targets Covered;

Thursday:  Thursday:  Graphing & Writing Linear Equations

Learning Target: You will understand how to recognize and write different forms of Linear Equations.

  • How do arithmetic sequences relate to linear equations?
    • What is slope?
    • Where can you find the other number?
  • Slope-Intercept Form Warm-up (Textbook Lesson 5-3 & 5-4)
    • Write an Equations to a Line containing points (3, -2) & (6, 4)
    • What should the equations look like?
    • What do we need to write the equations?
    • How can we find them?
    • Where do they go once we find them?
    • Graph to Check
  • Class Practice with different givens
    • Two Points
    • One point and the slope
    • Two intercepts
  • Direct Variation (Textbook Lesson 5-2)
    • Y=KX
    • Suppose y varies directly as x, if y = -18 when x = 6, find x when y = 6.
    • Pg 266 for example 4.
    • How can we use Ratios to solve?
    • Class Practice

Friday:  Forms of Linear Equations

Learning Target:  Students will recognize and write different forms of linear equations.

  • What is slope intercept form?
    • How do you write it?
    • How do you graph it?
  • What other forms of linear equations are there?
    • Standard Form
    • Point-Slope Form
    • How do you write it?
    • How do you graph it?
  • AIA Project Work Time

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