| MATH |
|
Statistics, Data Analysis,
and Probability
|
| 7.1.1 Know various forms of display for data sets (stem-and-leaf plot
or box-and-whisker plot); use the forms to display
a single data set or to compare two sets. |
| 7.1.2 Represent two numerical variables on a scatterplot; informally
describe how the points are distributed and
relationship between the two variables. |
| 7.1.3 Understand/compute, the minimum, lower quartile, median, upper
quartile, and maximum of a data set. |
|
Mathematical Reasoning
|
| 7.1.1 Analyze problems by identifying relationships, relevant, irrelevant
and missing information; sequencing and prioritizing
information, and observing patterns. |
| 7.1.2 Formulate and justify mathematical conjectures. |
| 7.2.1 Use estimation to verify reasonableness of results. |
| 7.2.3 Estimate unknown quantities graphically; solve by using logical
reasoning, arithmetic and algebraic techniques. |
| 7.2.4 Make and test conjectures by inductive and deductive reasoning. |
| 7.3.1 Evaluate reasonableness of solutions in context of an original
situation. |
| 7.3.3 Develop generalizations of results obtained, strategies used,
and apply them to new problem situations. |
|
Algebra I – 8th through 12th
|
| 2.0 Understand/use such operations
as taking an opposite, finding the reciprocal,
taking a root and raising it to a fractional
power. |
| 3.0 Solve equations and inequalities involving
absolute values. |
| 4.0 Simplify expressions
before solving linear equations and inequalities
in one variable, such as 3(2x-5) + 4(x-2) = 12. |
| 5.0 Solve multistep problems,
word problems, linear equations and linear inequalities
and provide justification for steps. |
| 6.0 Graph a linear equation
and compute the x- and y- intercepts (e.g.,
graph 2x + 6y = 4). |
| 7.0 Verify that a point lies
on a line, given an equation; derive linear
equations by using point-slope formula. |
| 8.0 Understand the concepts
of parallel lines and perpendicular lines and
how those slopes are related. |
| 9.0 Solve a system of two
linear equations in two variables algebraically;
interpret the answer graphically; solve a system
of two linear inequalities in two variables
and sketch the solution. |
| 10.0 Add, subtract, multiply,
and divide monomials and polynomials; solve
multistep problems, including word problems. |
| 15.0 Apply algebraic techniques
to solve rate problems, work problems, and percent
mixture problems. |
| 16.0 Understand concepts of
relation and function; determine whether a given
relation defines a function; give pertinent
information about relations and functions. |
| 17.0 Determine the domain of
independent variables and range of dependent
variables defined by a graph, a set of ordered
pairs, or a symbolic expression. |
| 18.0 Determine whether a relation
defined by a graph, a set of ordered pairs,
or a symbolic expression is a function and justify
the conclusion. |
| 21.0 Graph quadratic functions
and know that their roots are the x-intercepts. |
| 23.0 Apply quadratic equations
to physical problems, such as the motion of
an object under the force of gravity. |
| 24.2 Identify the hypothesis
and conclusion in logical deduction. |
| 25.1 Use properties of numbers
to construct simple direct and indirect arguments;
formulate counterexamples to claimed assertions. |
| 25.2 Judge the validity of
an argument according to whether the properties
of the real number system and the order of operations
have been applied correctly at each step. |
| 25.3 Given a specific algebraic
statement involving linear, quadratic, absolute
value expressions or equations, or inequalities,
determine whether the statement is sometimes,
always, or never true. |
| |
