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Grade Level & Subject:
Grade 9-Algebra 1 |
Curriculum Map |
Year 2003 |
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Calendar |
April |
May |
June |
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Fourth Nine Weeks – April - June |
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Possible Resources |
McDougal Little Algebra One (2001) Chapters 8-10 (pages 438-495, 496-519, 564-629) AMATH |
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Nine Weeks Focus |
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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
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Assessments |
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