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Algebra
I Topics
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Summary-
Algebra I is an activity-based program that develops concepts
of Algebra and Data Analysis and the critical thinking skills
required to solve real-world problems. It prepares students to
take the High School Assessment for Algebra and Data Analysis.
Students entering the program should be proficient in operations
with rational numbers, solving simple equations, and basic computations.
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Linear Equations
and Inequalities
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Equations
and Inequalities in Two Variables
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exploration
of linear relationships with graphing calculators, computers,
and calculator-based labs
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graphs
of equations, simple and compound inequalities, and absolute
value equations and inequalities on the coordinate plane
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equations
of lines in standard, slope-intercept, and point-slope form
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solutions
of systems of equations by graphing, substitution, and linear
combination
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algebraic
models of real world problems
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measures
of central tendency
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interpretation,
methods of organization, and analysis of data
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Quadratic
Equations and Inequalities
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laws
of exponents and scientific notation, problems involving growth
and decay
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introduction
to irrational numbers and approximating square roots
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Pythagorean
theorem and geometric models
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addition,
subtraction, multiplication, and factors of polynomials
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solutions
and graphs of quadratic equations
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use
the language and symbols of algebra to communicate concepts
and processes
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manipulate
signs, symbols, and terms to solve and graph equations and
inequalities
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identify
the slope and y-intercept of a line from an equation or graph
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use
data points on a scatterplot to write a line of best fit
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use
graphing, substitution, and linear combination to solve systems
of linear equations
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use
the Pythagorean theorem to show the connections between algebra
and geometry
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apply
the laws of exponents and scientific notation to model and
solve problems
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add,
subtract, multiply and factor polynomials
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use
graphing calculators to display and interpret nonlinear graphs
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apply
the principles of probability to interpret experimental data
collected in simulations
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apply
the principles of data analysis to organize and interpret
data
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