Archive for Algebra

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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Algebra Week of 10/26/2009

Monday:  AIA Relations Project

Learning Target:  Finding patterns and Rules in Arithmetic Sequences.

  • AIA Relations – Finish in Groups
    • Part 1 – Find the Rule
    • Part 1b – Use the rule to find more points
    • Part 2 Extension
      • Plot points on a graph
      • Look for Patterns
      • Find a rule for the patterns
  • Make connections to other types of graphing
    • Slope
    • Linear Equations

Tuesday: 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

Wednesday:  Weekly Assessment 7

Learning Targets Covered;

  • Students will manipulate formulas and equations to solve for a variable.
    • Extra Practice in Text Chapter 3 Lesson 8
  • Students will find ratios and proportions
    • Extra Practice in Text Chapter 3 Lessons 6 & 7
  • Students will graph points and transform figures on a coordinate plane.
    • Extra Practice in Text Chapter 4 Lessons 1 & 2.
  • Students will Find rules for Arithmetic Sequences
    • Extra Practice in Text Chapter 4 Lessons 7 & 8
  • Problem of the Week

Thursday & Friday:  No School

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Algebra Week of 10-19-2009

Monday:  Transformations on a Coordinate Plane

Learning Target:  Students will graph ordered pairs and transform figures on a coordinate plane.

  • Review text Chapter 4 Lessons 1 & 2
    • General graphing
    • How do you perform a;
      • Reflection
      • Translation
      • Dilation
  • How do you perform a rotation?
    • Rotate 90º counterclockwise
    • Rotate 180º around a fixed point
  • Class Practice

Tuesday:  Arithmetic Sequences

Learning Target:  Students will use sequences to find patterns and create a rule (formula) that will them find the nth number.

  • What is an arithmetic sequence?
    • Find the next three numbers.
      • 2, 5, 8, __, __, __, …
      • 1, 2, 4, 8, __, __, __, …
      • -11, -4, 3, __, __, __, …
      • And more
    • What is the difference between arithmetic and geometric sequences?
    • What is a term?
    • How can I find the 10th term in an arithmetic sequence?
    • How can I find the 100th term in an arithmetic sequence?
    • Is there a faster way?

Wednesday:  Weekly Assessment 6

Learning Targets Covered;

  • Students will solve multi-step equations
    • Extra Practice in Text Chapter 3 Lesson 5
  • Students will manipulate formulas and equations to solve for a variable.
  • Students will find ratios and proportions
    • Extra Practice in Text Chapter 3 Lessons 6 & 7
  • Students will graph ordered pairs and transform figures on a coordinate plane.
    • Extra Practice in Text Chapter 4 Lessons 1 & 2
  • Problem of the Week

Thursday:  Arithmetic Sequences

Learning Target:  Students will use sequences to find patterns and create a rule (formula) that will them find the nth number.

  • Unit 2 Introduction (Linear Equations)
    • Learning Targets
  • How can you find the 100th term in an arithmetic sequence?
    • Write a rule to the nth term.
    • Use it to solve for any term number.
    • Real life example of where this is used.
  • AIA Project (Arithmetic Sequences & Graphs)
    • Finding the rule
    • Groups of 2 or 3
    • Students will need graph paper

Friday:  AIA Relations Project

Learning Target:  Finding patterns and Rules in Arithmetic Sequences.

  • AIA Relations – Finish in Groups
    • Part 1 – Find the Rule
    • Part 1b – Use the rule to find more points
    • Part 2 Extension
      • Plot points on a graph
      • Look for Patterns
      • Find a rule for the patterns
  • Make connections to other types of graphing
    • Slope
    • Linear Equations

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Algebra Week of 10-12-2009

Monday:  Ratios and Proportions (Continued)

Learning Target:  Students will find ratios and proportions

  • 5-Minute Check over Proportions (lesson 3-6)
  • What are ratios and proportions used for?
    • examples: Text Lesson 3-6
      • Miles per hour
      • Scale drawings
  • Percent of Change: Text Lesson 3-7
    • % Decrease
    • % Increase
    • Discount
    • Sales Tax
  • Class Practice
  • Group problem solving  project
    • Groups of 2 or 3
    • each group will have a different problem
    • Present a logical solution to the problem

Tuesday:  Introduction to Unit 2 (Linear Equations)

Learning Targets:  Preview of the unit 2 Targets

  • 5-Minute Check over % of Change (lesson 3-7)
  • Group project on ratios and proportions
    • Complete task with group
    • Present solution to the class
  • What are linear equations?
  • How do patterns play a large part in Unit 2?
    • 2, 5, 8, …
    • -8, -3, 2, …
    • 22, 13, 4, …
  • How can you find the 100th term?
  • Quick review for tomorrow’s Assessment

Wednesday:  Weekly Assessment 3

Learning Targets Covered;

Thursday:  Arithmetic Sequences

Learning Target:  Students will use sequences to find patterns and create a rule (formula) that will them find the nth number.

  • What is an arithmetic sequence?
    • Find the next three numbers.
      • 2, 5, 8, __, __, __, …
      • 1, 2, 4, 8, __, __, __, …
      • -11, -4, 3, __, __, __, …
      • And more
    • What is the difference between arithmetic and geometric sequences?
    • What is a term?
    • How can I find the 10th term in an arithmetic sequence?
    • How can I find the 100th term in an arithmetic sequence?
    • Is there a faster way?

Friday:  Arithmetic Sequences

Learning Target:  Students will use sequences to find patterns and create a rule (formula) that will them find the nth number.

  • Unit 2 Introduction (Linear Equations)
    • Learning Targets
  • How can you find the 100th term in an arithmetic sequence?
    • Write a rule to the nth term.
    • Use it to solve for any term number.
    • Real life example of where this is used.
  • AIA Project (Arithmetic Sequences & Graphs)
    • Finding the rule
    • Groups of 2 or 3
    • Students will need graph paper

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