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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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