Here are the ASD's Pre-Algebra Performance Standards:
PRE-ALGEBRA PERFORMANCE STANDARDS
Each ASD mathematics course reflects the program statement and incorporates
the general program goals. In addition, each course consists of a specific set
of standards that determine the course content and a set of performance
standards that delineate what a student should be able to do after successfully
completing the course. After satisfactorily completing the ASD Pre-Algebra
curriculum, a student will be proficient in the ten strands of mathematics which
comprise the Pre-Algebra Math Content Standards. As evidence of proficiency, the
student will be able to:
P:1 Estimation
.1 Use estimation to check the reasonableness of answers involving real
numbers.
.2 Explain when an estimate is appropriate and when an exact answer is
needed.
.3 Use estimation to check calculator or computer accuracy.
.4 Estimate the square root of a number.
.5 Select appropriate scales or graphing windows for graphing data.
P:2 Number Sense
.1 Convert between fractions, decimals, and percents.
.2 Compare and order real numbers using >, ³,
<, ², =, and _.
.3 Simplify expressions using rules of divisibility.
.4 Write the prime factorization of a number using exponents.
.5 Find greatest common factors (GCF) and least common multiples (LCM) using
prime factorization.
.6 Solve problems using ratio, proportion, percent, and unit pricing.
.7 Solve problems using equivalent fractions, decimals, or percents.
.8 Explain and use a variety of problem solving strategies.
.9 Perform simple operations in other number systems and bases.
P:3 Concept of Number Operations
.1 Use appropriate vocabulary for effective communication in mathematics.
.2 Use manipulatives, diagrams, symbols, and words to demonstrate addition,
subtraction, multiplication, and division of real numbers.
.3 Use identity and inverse properties of addition and multiplication to
solve problems.
.4 Use commutative and associative properties of addition and
multiplication to solve problems.
.5 Use the distributive property of multiplication over addition to solve
problems.
.6 Solve one and two step equations using the properties of equality and
check the solutions.
.7 Solve one and two step inequalities using the properties of inequality
and check the solutions.
.8 Convert between standard and scientific notation using both negative and
positive exponents.
P:4 Computation
.1 Add, subtract, multiply and divide fractions, decimals and integers
with and without a calculator.
.2 Write and solve problems involving order of operations.
.3 Solve problems using percent of increase and decrease.
.4 Perform basic operations on expressions involving exponents and square
roots.
.5 Simplify expressions involving absolute value of real numbers.
.6 Solve problems with real numbers using paper and pencil, mental math, and
a calculator.
P:5 Geometry
.1 Identify, classify and compare triangles and quadrilaterals.
.2 Identify, classify and compare regular and irregular polygons.
.3 Identify, classify and compare simple polyhedra.
.4 Construct or draw geometric figures in two-dimensions and
three-dimensions.
.5 Create three-dimensional models from two-dimensional views.
.6 Solve problems using the relationships of angles formed by parallel,
perpendicular and intersecting lines.
.7 Describe the relationship of angles in different types of polygons.
.8 Identify corresponding parts in similar and congruent geometric figures.
.9 Find missing angles or sides of figures using similarity and congruence.
.10 Describe the symmetry found in various figures.
.11 Identify and graph reflections, rotations and translations on the
Cartesian plane and describe these transformations in words and symbols.
.12 Find the perimeter and area of various polygons.
.13 Find the circumference and area of any circle.
.14 Find the surface area and volume of various polyhedra.
.15 Apply the Pythagorean Theorem to real-world situations.
.16 Design a shape that will tessellate and use it to cover a surface.
P:6 Measurement
.1 Use, compare, and convert between units in the metric system for length,
mass, area, and volume.
.2 Use, compare, and convert between units in the standard system for
length, time, weight, area, and volume.
.3 Compare units of measurement in the metric system to similar units of
measurement in the standard system.
.4 Apply multiple strategies, including formulas and manipulatives, to find
area, perimeter, surface area, and volume, and include labels in appropriate
units.
.5 Solve practical problems involving proportion and scale.
.6 Solve practical problems involving conversion between degrees Celsius and
degrees Fahrenheit.
.7 Solve practical problems involving rate, time, and distance.
P:7 Statistics
.1 Create circle graphs using percents.
.2 Present experimental or collected data using both paper and pencil, and
technology, in various forms including a table, scatter plot, circle graph, line
graph, stem-and-leaf, box-and-whiskers, and histogram.
.3 Calculate mean, median, mode and range for a given set of data in a table
or a graph.
.4 Approximate a line of best fit or trend line for a given set of data.
.5 Analyze data using patterns or trend lines and use this information to
predict future outcomes, influence decisions, and defend conclusions.
P:8 Probability
.1 Calculate the probability of a simple event.
.2 Express the probability of an event using decimals, ratios, or percents.
.3 Calculate the probabilities of independent events.
.4 Conduct an experiment and use the data to find the probability of a
simple event.
P:9 Patterns
.1 Identify and expand classic patterns such as primes, square and
triangular numbers, and Pascal's Triangle.
.2 Express an arithmetic pattern as a rule and determine the nth term.
.3 Apply patterns as a strategy for solving problems.
P:10 Algebra
.1 Use proper algebraic terminology in both written and oral
communication.
.2 Present work in an organized and orderly fashion.
.3 Simplify expressions using the properties of real numbers.
.4 Solve one and two step equations.
.5 Solve and graph one and two step inequalities.
.6 Provide a verbal and written explanation for solutions.
.7 Translate word problems into numerical expressions, inequalities, or
equations.
.8 Create word problems from symbolic statements.
.9 Create a table of values from a linear function.
.10 Graph the equation of a line in slope and y-intercept form.
.11 Compute the slope of a line given two points.
.12 Solve problems involving algebraic expressions using order of
operations, grouping symbols, and exponents..
