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Pre-Algebra
Topics
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| Summary
- Pre-Algebra is a rigorous program that prepares students for the
formal study of algebra. The course of study has been designed to
stimulate students to investigate the real number system and to use
algebra and geometry to solve problems. Students entering the program
should be proficient in manipulating fractions, decimals, and percents.
Students will also translate mathematical ideas into symbols, apply
problem-solving strategies to problems expressed in words, and begin
to study integers. These increased expectations respond to state and
system goals that require all students to demonstrate proficiency
in algebra and geometry. |
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Introduction
to Algebra
- order of
operations, grouping symbols
- translating
and evaluating variable expressions
- integer operations,
absolute value, and the coordinate plane
- solutions
and graphs of equations and inequalities
- distributive
property, like terms, and properties
- scientific
and exponential notation
- squares,
square roots, real numbers
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Solving Equations
and Inequalities
- solutions
of equations and inequalities using one or more transformations
- applying
the properties of algebra to simplify and solve equations
- translations
of real world situations into mathematical symbols
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Functions and
Graphing
- relations
and functions on the coordinate plane
- scatterplots,
intercepts, and systems of equations
- identify
and describe the rate of change represented on a graph
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Geometry and
Measurement
- analysis
of polygons, circles, and solids
- computation
with customary and metric units
- angle relationships,
parallel lines
- identify
and describe congruent and similar triangles
- apply indirect
measurement concepts to triangles and the Pythagorean Theorem
- area, volume,
and surface area of regular geometric figures
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Patterns
- arithmetic
and geometric sequences
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Ratio, Proportion,
Percent, and Probability
- ratio, rates,
percent proportion, scale drawing
- counting
principle, permutations and combinations, odds
- probability
of compound events, simulations
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Skills
- apply arithmetic
operations and the properties of algebra to simplify algebraic
expressions
- apply inverse
operations and the properties of algebra to solve equations and
inequalities
- use integers
to represent real-world situations and to solve problems
- use tables,
graphs, equations, and tools of technology to analyze, model,
and interpret functional relationships
- apply the
properties of geometric figures to construct figures, classify
polygons, identify symmetry, similarity and congruence, and measure
indirectly
- use formulas
to find area, circumference, surface area, and the volume of geometric
figures
- use square
roots to represent rational and irrational numbers and to solve
problems involving right triangles
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