| Algebra I |
Star |
Bmk 1 |
Bmk 2 |
Bmk 3 |
Bmk 4 |
| Number Properties , Operations and Linear
Equations |
17 |
15 |
11 |
14 |
12 |
| 1.1 Students use properties of numbers to
demonstrate whether assertions are true or false. |
0.5 |
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2.0* Students understand and use such operations
as taking the opposite, finding the reciprocal, taking a root, and
raising to a fractional power . They understand and use the rules of
exponents. |
4 |
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|
5 |
4 |
| 3.0 Students solve equations and inequalities
involving absolute values. |
1 |
3 |
1 |
1 |
1 |
4.0* Students simplify expressions prior to
solving linear equations and inequalities in one variable , such as 3(2x
-5)
+ 4(x -2) = 12. |
3 |
6 |
5 |
3 |
3 |
5.0* Students solve multistep problems, including
word problems, involving linear equations and linear inequalities in
one variable and provide justification for each step. |
6 |
6 |
5 |
5 |
4 |
24.1 Students explain the difference between
inductive & deductive reasoning and identify & provide examples of
each. |
0.33 |
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| 24.2 Students identify the hypothesis and
conclusion in logical deduction. |
0.33 |
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24.3 Students use counterexamples to show that an
assertion is false and recognize that a single counterexample is
sufficient to refute an assertion. |
0.34 |
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25.1 Students use properties of numbers to
construct simple, valid arguments (direct and indirect) for, or
formulate
counterexamples to, claimed assertions. |
0.5 |
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25.2 Students 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. |
0.5 |
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25.3 Given a specific algebraic statement
involving linear, quadratic, or absolute value expressions or equations
or
inequalities, students determine whether the statement is true
sometimes, always, or never. |
0.5 |
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| Total Items |
17 |
15 |
11 |
14 |
12 |
| Percent |
26% |
100% |
44% |
33% |
24% |
| |
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|
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| Graphing and Systems of Linear Equations |
14 |
0 |
14 |
16 |
12 |
6.0* Students graph a linear equation and compute
the x - and y - intercepts (e.g., graph 2x + 6y = 4). They are also
able to sketch the region defined by linear inequality (e.g., they
sketch the region defined by 2x + 6y < 4). NO Inq on
Bmk 2 |
4 |
|
4 |
5 |
3 |
7.0* Students verify that a point lies on a line,
given an equation of the line. Students are able to derive linear
equations using the point- slope formula . |
4 |
|
4 |
3 |
4 |
8.0 Students understand the concepts of parallel
lines and perpendicular lines and how those slopes are related.
Students are able to find the equation of a line perpendicular to a
given line that passes through a given point. |
1 |
|
2 |
3 |
2 |
9.0* Students solve a system of two linear
equations in two variables algebraically and are able to interpret the
answer
graphically. Students are able to solve a system of two linear
inequalities in two variables and to sketch the solution
sets. |
5 |
|
4 |
5 |
3 |
| Total Items |
14 |
0 |
14 |
16 |
12 |
| Percent |
22% |
0% |
56% |
37% |
24% |
| |
|
|
|
|
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| Quadractics and Polynomials |
21 |
0 |
0 |
13 |
16 |
10.0* Students add , subtract, multiply, and
divide monomials and polynomials . Students solve multistep problems,
including word problems, by using these techniques. |
4 |
|
|
5 |
4 |
11.0 Students apply basic factoring techniques to
second-and simple third-degree polynomials. These techniques
include finding a common factor for all terms in a polynomial,
recognizing the difference of two squares, and
recognizing perfect squares of binomials . |
2 |
|
|
5 |
3 |
| 14.0* Students solve a quadratic equation by
factoring or completing the square. No completing Sq on Bmk 3 |
3 |
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3 |
3 |
| 19.0* Students know the quadratic formula and are
familiar with its proof by completing the square. |
2 |
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20.0* Students use the quadratic formula to find
the roots of a second-degree polynomial and to solve quadratic
equations. |
3 |
|
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|
2 |
22.0 Students use the quadratic formula or
factoring techniques or both to determine whether the graph of a
quadratic
function will intersect the x- axis in zero , one, or two points. |
1 |
|
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|
1 |
| 21.0* Students graph quadratic functions and know
that their roots are the x -intercepts. |
3 |
|
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|
2 |
23.0* Students apply quadratic equations to
physical problems, such as the motion of an object under the force of
gravity. |
3 |
|
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|
1 |
| Total Items |
21 |
0 |
0 |
13 |
16 |
| Percent |
32% |
0% |
0% |
30% |
32% |
| |
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|
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| Functions and Rational Expressions |
13 |
0 |
0 |
0 |
10 |
12.0* Students simplify fractions with
polynomials in the numerator and denominator by factoring both and
reducing
them to the lowest terms. |
3 |
|
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|
4 |
13.0* Students add, subtract, multiply, and
divide rational expressions and functions. Students solve both
computationally and conceptually challenging problems by using these
techniques. |
4 |
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|
3 |
| 15.0* Students apply algebraic techniques to
solve rate problems, work problems, and percent mixture problems. |
4 |
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|
3 |
16.0 Students understand the concepts of a
relation and a function, determine whether a given relation defines a
function, and give pertinent information about given relations and
functions. |
0.5 |
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17.0 Students determine the domain of independent
variables and the range of dependent variables defined by a
graph, a set of ordered pairs , or a symbolic expression. |
1 |
|
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18.0 Students determine whether a relation
defined by a graph, a set of ordered pairs, or a symbolic expression is
a
function and justify the conclusion. |
0.5 |
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| Total Items |
13 |
0 |
0 |
0 |
10 |
| Percent |
20% |
0% |
0% |
0% |
20% |
| Total |
65 |
15 |
25 |
43 |
50 |
