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Integrated Mathematics 3 CST - Standardized Testing and Reporting

By Justin Henry,2014-05-07 10:50
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Integrated Mathematics 3 CST - Standardized Testing and Reporting

    CALIFORNIA STANDARDS TEST

    INTEGRATED MATHEMATICS 3

    (Blueprint adopted by the State Board of Education 10/02)

    # of CALIFORNIA CONTENT STANDARDS % Items

    Geometry 5 8%

    21.0* Students prove and solve problems regarding

    relationships among chords, secants, tangents, inscribed 5 angles, and inscribed and circumscribed polygons of

    circles

    Algebra II 56 86%

    1.0* Students solve equations and inequalities involving 1 absolute value.

    2.0* Students solve systems of linear equations and

    5 inequalities (in two or three variables) by substitution, with

    graphs, or with matrices.

    3.0* Students are adept at operations on polynomials, including 4 long division.

    4.0* Students factor polynomials representing the difference of

    3 squares, perfect square trinomials, and the sum and

    difference of two cubes.

    5.0* Students demonstrate knowledge of how real and complex

    numbers are related both arithmetically and graphically. In 2 particular, they can plot complex numbers as points in the

    plane.

    6.0* Students add, subtract, multiply, and divide complex 3 numbers. 7.0* Students add, subtract, multiply, divide, reduce and

    evaluate rational expressions with monomial and

    6 polynomial denominators and simplify complicated rational

    expressions including those with negative exponents in the

    denominator.

    8.0* Students solve and graph quadratic equations by

    factoring, completing the square, or using the quadratic

    4 formula. Students apply these techniques in solving word

    problems. They also solve quadratic equations in the

    complex number system.

    9.0* Students demonstrate and explain the effect that changing

    a coefficient has on the graph of quadratic functions; that 2 is, students can determine how the graph of a parabola 2changes as a, b, and c vary in the equation y = a(x-b) + c.

    10.0* Students graph quadratic functions and determine the 4 maxima, minima, and zeros of the function. * Key standards comprise a minimum of 70% of the test

    ** Fractional values indicate rotated standards (e.g., 1/2 = rotated every two years;

     1/3 = rotated every three years)

     ? California Department of Education 1

    CALIFORNIA STANDARDS TEST

    INTEGRATED MATHEMATICS 3

    (Blueprint adopted by the State Board of Education 10/02)

    # of CALIFORNIA CONTENT STANDARDS % Items

    Standard Set 11.0* Students prove simple laws of logarithms.

    11.1* Students understand the inverse relationship between

    3 exponents and logarithms and use this relationship to

    solve problems involving logarithms and exponents. 11.2* Students judge the validity of an argument according to

    2 1/2** whether the properties of real numbers, exponents, and

    logarithms have been applied correctly at each step. 12.0* Students know the laws of fractional exponents,

    3 understand exponential functions, and use these functions

    in problems involving exponential growth and decay. 13.0 Students use the definition of logarithms to translate 1 between logarithms in any base.

    14.0 Students understand and use the properties of logarithms

    2 to simplify logarithmic numeric expressions and to identify

    their approximate values.

    15.0* Students determine whether a specific algebraic statement

    involving rational expressions, radical expressions, or 4 logarithmic or exponential functions, is sometimes true,

    always true, or never true. 16.0 Students demonstrate and explain how the geometry of

    the graph of a conic section (e.g., asymptotes, foci, 1/3** eccentricity) depends on the coefficients of the quadratic

    equation representing it. 2217.0 Given a quadratic equation of the form ax + by + cx + dy

    + e = 0, students can use the method for completing the

    square to put the equation into standard form and can 1 recognize whether the graph of the equation is a circle,

    ellipse, parabola, or hyperbola. Students can then graph

    the equation.

    20.0* Students know the binomial theorem and use it to expand

    2 binomial expressions that are raised to positive integer

    powers.

    21.0 Students apply the method of mathematical induction to 1/3** prove general statements about the positive integers. 22.0 Students find the general term and the sums of arithmetic 2 series and of both finite and infinite geometric series 24.0 Students solve problems involving functional concepts,

    1/2** such as composition, defining the inverse function and

    performing arithmetic operations on functions. * Key standards comprise a minimum of 70% of the test

    ** Fractional values indicate rotated standards (e.g., 1/2 = rotated every two years;

     1/3 = rotated every three years)

     ? California Department of Education 2

    CALIFORNIA STANDARDS TEST

    INTEGRATED MATHEMATICS 3

    (Blueprint adopted by the State Board of Education 10/02)

    # of CALIFORNIA CONTENT STANDARDS % Items 25.0 Students use properties from number systems to justify 1/3** steps in combining and simplifying functions.

    Probability and Statistics 4 6% 2.0 Students know the definition of conditional probability, and 2 use it to solve for probabilities in finite sample spaces. 7.0 Students compute the variance and the standard deviation 2 of a distribution of data.

    INTEGRATED 3 TOTAL 65 100%

* Key standards comprise a minimum of 70% of the test

    ** Fractional values indicate rotated standards (e.g., 1/2 = rotated every two years;

     1/3 = rotated every three years)

     ? California Department of Education 3

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