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Minnesota Math Standards - 11th Grade
MathScore aligns to the Minnesota Math Standards for 11th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the Minnesota Math Standards at other levels.
Statistics
Use tables of the normal distribution and properties of that distribution to make judgments about populations based on random samples from these populations.
1. Use the concept of normal distribution and its properties to answer questions about sets of data.
2. Describe and use sampling distributions and the central limit theorem. Calculate confidence intervals when appropriate.
3. Understand the importance of appropriate sampling methods. For instance, the time of day of a survey could lead to inaccuracies in the outcome.
Algebra
Demonstrate facility with a wide range of algebraic operations and use the relationship between coordinate geometry and algebraic equations to solve real-world and mathematical problems.
1. Solve systems of two, three or more simultaneous linear equations or inequalities, in particular, deciding whether a given system of equations has one solution, no solution or infinitely many solutions and, in this latter case, describing them parametrically. (System of Equations Substitution , System of Equations Addition )
2. Solve problems with quadratic functions and equations, where some of the coefficients may be expressed in terms of parameters. (Quadratic Zero Equations , Quadratic Formula , Quadratic X-Intercepts )
3. Perform the four arithmetic operations with polynomials, except that division is restricted to division by monomials and linear binomials. (Foil Method , Trinomial Factoring , Binomial Fraction Simplification , Polynomial Fraction Simplification , Simplifying Algebraic Expressions )
4. Simplify a wide variety of algebraic expressions, including those in which numerator or denominator needs to be rationalized. (Simplifying Algebraic Expressions , Simplifying Algebraic Expressions 2 , Simplifying Radical Expressions , Adding and Subtracting Radical Expressions , Multiplying and Dividing Radical Expressions )
5. Apply the laws of exponents to perform operations on expressions with fractional exponents. (Roots Of Exponential Expressions )
6. Know the numeric, graphic and symbolic properties of power, logarithmic and exponential functions.
7. Solve a wide variety of mathematical and real-world problems involving power, exponential and logarithmic functions and equations, discard extraneous solutions and present results graphically.
8. Know the numeric, graphic and symbolic properties of rational functions.
9. Solve a wide variety of mathematical and real-world problems involving rational functions, discard extraneous solutions and present results graphically.
10. Factor polynomials representing the difference of squares, perfect square trinomials and quadratics with rational factors. (Trinomial Factoring )
11. Make sketches including axes, centers, asymptotes, vertices of parabola, ellipses (including circles) and hyperbolas with axes parallel to the coordinate axes, given their equations, and completing the square if necessary.
12. Find equations of parabolas, ellipses and hyperbolas when presented with their graphs having axes parallel to the coordinate axes.
13. Add, subtract, multiply and divide complex numbers, interpret sums geometrically, and find complex solutions of quadratic equations.
14. Know and use the Factor and Remainder Theorems.
15. Find the inverse of a function and the composition of functions by numeric and symbolic methods. Know the relationship between the graphs of a function and its inverse.
16. Know and use formal notation for sequences and series to solve related problems.
Trigonometry and Geometry
Understand the properties of the standard trigonometric functions and apply them to real-world and mathematical problems, especially geometrical problems. Develop increased mastery of geometric proof methodology.
1. Know the six trigonometric functions defined for an angle in a right triangle.
2. Given the coordinates of a point on the terminal side of an angle in standard position in the xy-plane, find the values of the trigonometric functions.
3. Convert between degrees and radian measures.
4. Solve applied problems about triangles using the law of sines including the ambiguous case.
5. Solve applied problems about triangles using the law of cosines.
6. Graph the functions of the form Asin (Bt + C), Acos (Bt + C), and Atan (Bt + C) and know the meaning of the terms frequency, amplitude, phase shift and period.
7. Simplify trigonometric expressions using identities and verify simple trigonometric identities including sin2x + cos2x = 1, sum, difference, double angle and half-angle formulas for sine and cosine.
8. Find all the solutions of a trigonometric equation on various intervals.
9. Know and be able to use the definitions of the inverse trigonometric functions and related methods to solve problems such as find cos(x) and tan(x) given the value of sin x and the quadrant containing the terminal side.
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