February, 2007

March, 2007

April, 2007

Content

1. Exploring Quadratic Equation 

2. KeyTrain Level 5 (software for WorkKeys)

1. Exploring Trigonometric Functions

2. Key Train Level 6

1. Sequences and Series

2. KeyTrain Level 6

Skills

1.

• Graph quadratic functions
• Solve quadratic equations by graphing
• Solve quadratic equations by factoring
• Write a quadratic equation with given roots
• Solve quadratic equations by using the Quadratic Formula
• Use the discriminant to determine the number and type of  roots

2.

• Calculate perimeter and area for  basic shapes
• Convert fractions to decimals and vice versa
• Calculate  percentage discounts
• Identify best deals using one- and two-step calculations

1.

• Identify the basic trigonometric ratios: sinus, cosine, tangent, cotangent, secant, and cosecant
• Find values of acute angles for trigonometric functions
• Solve problems involving right triangles
• Change degree measure in radians and vice versa
• Identify coterminal angles
• Find values of trigonometric functions for general angles
• Solve problems by using Law of Sines
• Solve problems by using Law of Cosines

2.

• Use operations for fractions, decimals, negative numbers

• Solve multiple steps problems
• Calculate “the best deal” using the result in another problems

1.

• Find terms in arithmetic sequences
• Calculate arithmetic means
• Find sums of arithmetic series
• Find terms in geometric sequences
• Calculate geometric means
• Find sums of finite and infinite geometric series
• Determine specific terms in arithmetic and geometric series

2.

• Determine area and volume for rectangular solids
• Calculate multiple rates for comparison
• Identify errors in calculations
• Correct errors in calculations

Assessment

1a. Frequently

• Daily bell ringer
• Prior knowledge- true or false, matching, free response  before each new skill
• Homework for each skill with feedback
• In-class problems solved by students
• Oral  and written class presentation
• Mid chapter quiz- free response
• Chapter test- multiple choice

1b. Occasionally

• Vocabulary puzzle
• Written essay

2.

• KeyTrain requires 80% for passing any assessment.
• Short answer, true-false questions for each assignment
• Matching terms and numbers
• Multiple choice  quiz for Level 5

1a. Frequently

• Daily bell ringer
• Prior knowledge- true or false, matching, free response before each new skill
• Homework for each skill with feedback
• In-class problems solved by students
• Oral and written class presentation
• Mid chapter quiz- free response
• Chapter test- multiple choice

1b. Occasionally

• Vocabulary puzzle
• Group assessment on a topic

 2.

• KeyTrain requires 80% for passing any assessment.
• Calculator use
• Short answer, true-false, and multiple choice questions for each assignment

1a. Frequently

• Daily bell ringer
• Prior knowledge- true or false, matching, free response before each new skill
• Homework for each skill
  • with feedback
• In-class problems solved by students
• Oral  and written class presentation
• Mid chapter quiz- open end questions
• Chapter test- multiple choice

1b. Occasionally

• Vocabulary puzzle
• Notebook (portfolio) assessment
• Mid term exam- multiple choice and open end questions

2.

• KeyTrain requires 80% for passing any assessment.
• Short answer, true-false, and multiple choice questions for each assignment
• Multiple choice quiz for Level 6

Illinois Learning

Standards

for

Mathematics

6.A.4  Identify and apply the associative, commutative, distributive and identity proper­ties of real numbers, including special numbers such as pi and square roots.

 7.A.4b Apply formulas in a wide variety of theoretical and practical real-world measure­ment applications involving perimeter, area, volume, angle, time, temperature, mass, speed, distance, density and monetary values.

8. D.4 Formulate and solve linear and quadratic equations and linear inequalities algebraically and investigate nonlinear inequali­ties using graphs, tables, calculators and computers.

 9. C.4b Construct and communicate convinc­ing arguments for geometric situations.

7. B.5 Estimate perimeter, area, volume, and capacity of irregular shapes, regions and solids and explain the reasoning supporting the estimate.

 8. B.5 Use functions including exponential, polynomial, rational, parametric, logarithmic, and trigonometric to describe numerical relationships. 

 8. C.5 Use polynomial, exponential, logarith­mic and trigonometric functions to model situations.

9. B.4   Recognize and apply relationships within and among geometric figures.

 9. A.5 Use geometric figures and their properties to solve problems in the arts, the physical and life sciences and the building trades, with and without the use of technology.

9. D.4 Analyze and solve problems involving triangles (e.g., distances which cannot be measured directly) using trigonometric ratios.

6. D.5 Solve problems involving loans, mortgages and other practical applications involving geometric patterns of growth. 

7. A.4b Apply formulas in a wide variety of theoretical and practical real-world measure­ment applications involving perimeter, area, volume, angle, time, temperature, mass, speed, distance, density and monetary values.

 7. B.5 Estimate perimeter, area, volume, and capacity of irregular shapes, regions and solids and explain the reasoning supporting the estimate. 

9. B.4   Recognize and apply relationships within and among geometric figures.

 9. A.5 Use geometric figures and their properties to solve problems in the arts, the physical and life sciences and the building trades, with and without the use of technology.

   IEP

• Use of calculator

• Simple and clear directions
• Pairing with peer tutors
• Extended time for tests
• Possibility of extra credit and make up work
• Recommendation for tutoring, if necessary
• Adjusted grading scale, if specified by IEP
• Coordination with the case manager