ACP Blueprint Algebra II Pre

Test Code
Year Form
1211
16
3
Last Revision Date: 04/29/2016
ACP Blueprint
Algebra II Pre-AP
Semester 1, 2016–2017
Reporting
Category
TEKS/SE
R or S
No. of
Items
% of
Test
1. Attributes of functions and their inverses. Graph the functions f(x) = √x, f(x) = 1/x, f(x) = x3 ,
f(x) = 3√x, f(x) = bx, f(x) = |x|, and f(x) = logb (x) where b is 2, 10, and e, and, when applicable,
analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior,
and maximum and minimum given an interval.
2
2A.2A
R
2
7%
2. Attributes of functions and their inverses. Describe and analyze the relationship between a
function and its inverse (quadratic and square root, logarithmic and exponential), including the
restriction(s) on domain, which will restrict its range.
2
2A.2C
R
3
11%
3. Systems of equations and inequalities. Formulate systems of equations, including systems
consisting of three linear equations in three variables and systems consisting of two equations, the
first linear and the second quadratic.
3
2A.3A
R
3
11%
4. Systems of equations and inequalities. Solve systems of three linear equations in three
variables by using Gaussian elimination, technology with matrices, and substitution.
3
2A.3B
R
2
7%
5. Systems of equations and inequalities. Solve systems of two or more linear inequalities in
two variables.
3
2A.3F
S
2
7%
6. Quadratic and square root functions, equations, and inequalities. Write the equation of a
parabola using given attributes, including vertex, focus, directrix, axis of symmetry, and direction
of opening.
4
2A.4B
R
3
11%
7. Quadratic and square root functions, equations, and inequalities. Transform a quadratic
function f(x) = ax2 + bx + c to the form f(x) = a(x – h)2 + k to identify the different attributes of f(x).
4
2A.4D
S
2
7%
8. Quadratic and square root functions, equations, and inequalities. Solve quadratic and square
root equations.
4
2A.4F
R
2
7%
9. Quadratic and square root functions, equations, and inequalities. Solve quadratic
inequalities.
4
2A.4H
S
2
7%
10. Cubic, cube root, absolute value and rational functions, equations, and inequalities.
Analyze the effect on the graphs of f(x) = |x| when f(x) is replaced by af(x), f(bx), f(x - c), and
f(x) + d for specific positive and negative real values of a, b, c, and d.
6
2A.6C
S
2
7%
SE Descriptions
Reporting
Category
TEKS/SE
R or S
No. of
Items
% of
Test
11. Cubic, cube root, absolute value and rational functions, equations, and inequalities. Solve
absolute value linear equations.
6
2A.6E
R
1
4%
12. Number and algebraic methods. Determine linear and quadratic factors of a polynomial
expression of degree three and of degree four, including factoring the sum and difference of two
cubes and factoring by grouping.
1
2A.7E
R
2
7%
13. Number and algebraic methods. Write the domain and range of a function in interval notation,
inequalities, and set notation.
1
2A.7I
S
2
7%
R
18
64%
S
10
36%
All
28
SE Descriptions
Total
Note: Strikethrough text indicates specified content not measured for this assessment.
R = Readiness Standard, S = Supporting Standard.
A copy of the Algebra II STAAR/EOC Mathematics Reference Chart is printed in each booklet.
This assessment is consumable.
A graphing calculator must be provided for each student.
CAS calculators are NOT permitted.
Percentages are rounded to the nearest whole number.
Reporting Categories: 1. Number and Algebraic Methods
2. Describing and Graphing Functions and Their Inverses
3. Writing and Solving Systems of Equations and Inequalities
4. Quadratic and Square Root Functions, Equations, and Inequalities
5. Exponential and Logarithmic Functions and Equations
6. Other Functions, Equations, and Inequalities
Mathematical Process Standards
Description:
SE
1. Apply mathematics to problems arising in everyday life, society, and the workplace.
1A
2. Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying
the solution, and evaluating the problem-solving process and the reasonableness of the solution.
1B
3. Select tools, including real objects, manipulative, paper and pencil, and technology as appropriate, and techniques, including mental math,
estimation, and number sense as appropriate, to solve problems.
1C
4. Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs,
and language as appropriate.
1D
5. Create and use representations to organize, record, and communicate mathematical ideas.
1E
6. Analyze mathematical relationships to connect and communicate mathematical ideas.
1F
7. Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.
1G