Grade Level & Subject:

Grade 9-Algebra 1

Curriculum Map

Year 2003

Calendar

April

May

June

 

Fourth Nine Weeks – April - June

 

Possible Resources

 

 

McDougal Little Algebra One (2001)

Chapters 8-10 (pages 438-495, 496-519, 564-629)

 

AMATH

 

Nine Weeks Focus

 

 

     

 

Skills/Standards

Number and Number Sense and Operations Standard

2. Compare, order and determine equivalent forms for rational and irrational numbers.

3. Explain the effects of operations such as multiplication or division, and of computing powers and roots on the magnitude of quantities.

5. Estimate the solutions for problem situations involving square and cube roots.

 

Measurement Standard

 

Geometry and Spatial Sense Standard

 

Patterns, Functions and Algebra Standard

1. Define function with ordered pairs in which each domain element is assigned exactly one range element.

2. Generalize patterns using functions or relationships (linear, quadratic and exponential), and freely translate among tabular, graphical and symbolic representations.

 

 

Patterns, Functions and Algebra Standard (Continued)

3. Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations.

4. Demonstrate the relationship among zeros of a function, roots of equations, and solutions of equations graphically and in words.

5. Describe and compare characteristics of the following families of functions: linear, quadratic and exponential functions; e.g., general shape, number of roots, domain, range, rate of change, maximum or minimum.

6. Write and use equivalent forms of equations and inequalities in problem situations; e.g., changing a linear equation to the slope-intercept form.

7. Use formulas to solve problems involving exponential growth and decay. (Was not previously addressed)

9. Solve and interpret the meaning of 2 by 2 systems of linear equations graphically, by substitution and by elimination, with and without technology.5 6 7 8 9 10 11 12

10. Solve quadratic equations with real roots by factoring, graphing, using the quadratic formula and with technology.

11. Add, subtract, multiply and divide monomials and polynomials (division of polynomials by monomials only).

12. Simplify rational expressions by eliminating common factors and applying properties of integer exponents.

15. Describe how a change in the value of a constant in a linear or quadratic equation affects the related graphs.

5. Use physical models to add and subtract mononomials and polynomials, and to multiply a polynomial by a mononomial. ( From Grade 8)

 

 

Patterns, Functions and Algebra Standard (Continued)

12. Solve simple quadratic equations graphically. (From Grade 8)

14. Differentiate and explain types of changes in mathematical relationships, such as linear vs. nonlinear, continuous vs.noncontinuous, direct variation vs. inverse variation. (From Grade 8)

16. Use graphing calculators or computers to analyze change: e.g., interest compounded over time as a nonlinear growth pattern. (From Grade 8)

 

Data Analysis and Probability Standard

 

 

Assessments