Tuesday, September 27, 2016

Algebra 2 Skills

Algebra 2

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Here is a list of all of the skills students learn in Algebra 2! These skills are organized into categories, and you can move your mouse over any skill name to view a sample question. To start practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!
Variable expressions
1.      A.1Evaluate variable expressions involving integers
2.      A.2Evaluate variable expressions involving rational numbers
3.      A.3Simplify variable expressions using properties
Equations
1.      B.1Solve linear equations
2.      B.2Solve linear equations: word problems
3.      B.3Solve absolute value equations
4.      B.4Graph solutions to absolute value equations
5.      B.5Solve multi-variable equations
Inequalities
1.      C.1Graph a linear inequality in one variable
2.      C.2Write inequalities from graphs
3.      C.3Write a linear inequality: word problems
4.      C.4Solve linear inequalities
5.      C.5Graph solutions to linear inequalities
6.      C.6Solve absolute value inequalities
7.      C.7Graph solutions to absolute value inequalities
8.      C.8Graph a two-variable linear inequality
9.      C.9Graph solutions to two-variable absolute value inequalities
10.  C.10Graph solutions to quadratic inequalities
11.  C.11Solve quadratic inequalities
Functions
1.      D.1Domain and range
2.      D.2Identify functions
3.      D.3Evaluate functions
4.      D.4Find values using function graphs
5.      D.5Complete a table for a function graph
6.      D.6Find the slope of a linear function
7.      D.7Graph a linear function
8.      D.8Write the equation of a linear function
9.      D.9Linear functions over unit intervals
10.  D.10Average rate of change
Systems of equations
1.      E.1Is (x, y) a solution to the system of equations?
2.      E.2Solve a system of equations by graphing
3.      E.3Solve a system of equations by graphing: word problems
4.      E.4Find the number of solutions to a system of equations
5.      E.5Classify a system of equations
6.      E.6Solve a system of equations using substitution
7.      E.7Solve a system of equations using substitution: word problems
8.      E.8Solve a system of equations using elimination
9.      E.9Solve a system of equations using elimination: word problems
10.  E.10Solve a system of equations using any method
11.  E.11Solve a system of equations using any method: word problems
12.  E.12Solve a system of equations in three variables using substitution
13.  E.13Solve a system of equations in three variables using elimination
14.  E.14Determine the number of solutions to a system of equations in three variables
15.  E.15Solve a non-linear system of equations
Systems of inequalities
1.      F.1Is (x, y) a solution to the system of inequalities?
2.      F.2Solve systems of linear inequalities by graphing
3.      F.3Solve systems of linear and absolute value inequalities by graphing
4.      F.4Find the vertices of a solution set
5.      F.5Linear programming
Matrices
1.      G.1Matrix vocabulary
2.      G.2Matrix operation rules
3.      G.3Add and subtract matrices
4.      G.4Multiply a matrix by a scalar
5.      G.5Add and subtract scalar multiples of matrices
6.      G.6Multiply two matrices
7.      G.7Simplify matrix expressions
8.      G.8Properties of matrices
9.      G.9Solve matrix equations
10.  G.10Determinant of a matrix
11.  G.11Is a matrix invertible?
12.  G.12Inverse of a matrix
13.  G.13Identify inverse matrices
14.  G.14Solve matrix equations using inverses
15.  G.15Identify transformation matrices
16.  G.16Transformation matrices: write the vertex matrix
17.  G.17Transformation matrices: graph the image
18.  G.18Solve a system of equations using augmented matrices
19.  G.19Solve a system of equations using augmented matrices: word problems
Complex numbers
1.      H.1Introduction to complex numbers
2.      H.2Add and subtract complex numbers
3.      H.3Complex conjugates
4.      H.4Multiply complex numbers
5.      H.5Divide complex numbers
6.      H.6Add, subtract, multiply, and divide complex numbers
7.      H.7Absolute values of complex numbers
8.      H.8Powers of i
Factoring
1.      I.1Factor out a monomial
2.      I.2Factor quadratics using algebra tiles
3.      I.3Factor quadratics
4.      I.4Factor using a quadratic pattern
5.      I.5Factor by grouping
6.      I.6Factor sums and differences of cubes
7.      I.7Factor polynomials
Quadratic functions
1.      J.1Characteristics of quadratic functions
2.      J.2Complete a function table: quadratic functions
3.      J.3Graph a quadratic function
4.      J.4Solve a quadratic equation using square roots
5.      J.5Solve a quadratic equation using the zero product property
6.      J.6Solve a quadratic equation by factoring
7.      J.7Complete the square
8.      J.8Solve a quadratic equation by completing the square
9.      J.9Solve a quadratic equation using the quadratic formula
10.  J.10Using the discriminant
11.  J.11Match quadratic functions and graphs
12.  J.12Write a quadratic function from its zeros
Polynomials
1.      K.1Polynomial vocabulary
2.      K.2Add and subtract polynomials
3.      K.3Multiply polynomials
4.      K.4Divide polynomials using long division
5.      K.5Divide polynomials using synthetic division
6.      K.6Evaluate polynomials using synthetic division
7.      K.7Solve polynomial equations
8.      K.8Find the roots of factored polynomials
9.      K.9Write a polynomial from its roots
10.  K.10Rational root theorem
11.  K.11Complex conjugate theorem
12.  K.12Conjugate root theorems
13.  K.13Descartes' Rule of Signs
14.  K.14Match polynomials and graphs
15.  K.15Fundamental Theorem of Algebra
16.  K.16Pascal's triangle
17.  K.17Pascal's triangle and the Binomial Theorem
18.  K.18Binomial Theorem I
19.  K.19Binomial Theorem II
Radical functions and expressions
1.      L.1Roots of integers
2.      L.2Roots of rational numbers
3.      L.3Find roots using a calculator
4.      L.4Simplify radical expressions with variables I
5.      L.5Simplify radical expressions with variables II
6.      L.6Nth roots
7.      L.7Multiply radical expressions
8.      L.8Divide radical expressions
9.      L.9Add and subtract radical expressions
10.  L.10Simplify radical expressions using the distributive property
11.  L.11Simplify radical expressions using conjugates
12.  L.12Domain and range of radical functions
13.  L.13Solve radical equations
Rational exponents
1.      M.1Evaluate rational exponents
2.      M.2Multiplication with rational exponents
3.      M.3Division with rational exponents
4.      M.4Power rule
5.      M.5Simplify expressions involving rational exponents I
6.      M.6Simplify expressions involving rational exponents II
Rational functions and expressions
1.      N.1Rational functions: asymptotes and excluded values
2.      N.2Evaluate rational expressions I
3.      N.3Evaluate rational expressions II
4.      N.4Simplify rational expressions
5.      N.5Multiply and divide rational expressions
6.      N.6Add and subtract rational expressions
7.      N.7Solve rational equations
Function operations
1.      O.1Add and subtract functions
2.      O.2Multiply functions
3.      O.3Divide functions
4.      O.4Composition of linear functions
5.      O.5Composition of linear and quadratic functions
6.      O.6Identify inverse functions
7.      O.7Find values of inverse functions from tables
8.      O.8Find values of inverse functions from graphs
9.      O.9Find inverse functions and relations
Families of functions
1.      P.1Function transformation rules
2.      P.2Translations of functions
3.      P.3Reflections of functions
4.      P.4Dilations of functions
5.      P.5Transformations of functions
6.      P.6Describe function transformations
Variation
1.      Q.1Write and solve direct variation equations
2.      Q.2Write and solve inverse variation equations
3.      Q.3Classify variation
4.      Q.4Write joint and combined variation equations I
5.      Q.5Find the constant of variation
6.      Q.6Write joint and combined variation equations II
7.      Q.7Solve variation equations
Logarithms
1.      R.1Convert between exponential and logarithmic form: rational bases
2.      R.2Convert between natural exponential and logarithmic form
3.      R.3Convert between exponential and logarithmic form: all bases
4.      R.4Evaluate logarithms
5.      R.5Evaluate natural logarithms
6.      R.6Change of base formula
7.      R.7Identify properties of logarithms
8.      R.8Product property of logarithms
9.      R.9Quotient property of logarithms
10.  R.10Power property of logarithms
11.  R.11Properties of logarithms: mixed review
12.  R.12Evaluate logarithms: mixed review
Exponential and logarithmic functions
1.      S.1Domain and range of exponential and logarithmic functions
2.      S.2Evaluate exponential functions
3.      S.3Match exponential functions and graphs
4.      S.4Solve exponential equations using factoring
5.      S.5Solve exponential equations using common logarithms
6.      S.6Solve exponential equations using natural logarithms
7.      S.7Solve logarithmic equations I
8.      S.8Solve logarithmic equations II
9.      S.9Exponential functions over unit intervals
10.  S.10Identify linear and exponential functions
11.  S.11Describe linear and exponential growth and decay
12.  S.12Exponential growth and decay: word problems
13.  S.13Compound interest: word problems
14.  S.14Continuously compounded interest: word problems
Parabolas
1.      T.1Identify the direction a parabola opens
2.      T.2Find the vertex of a parabola
3.      T.3Find the focus or directrix of a parabola
4.      T.4Find the axis of symmetry of a parabola
5.      T.5Write equations of parabolas in vertex form from graphs
6.      T.6Write equations of parabolas in vertex form using properties
7.      T.7Convert equations of parabolas from general to vertex form
8.      T.8Find properties of a parabola from equations in general form
9.      T.9Graph parabolas
Circles
1.      U.1Find the center of a circle
2.      U.2Find the radius or diameter of a circle
3.      U.3Write equations of circles in standard form from graphs
4.      U.4Write equations of circles in standard form using properties
5.      U.5Convert equations of circles from general to standard form
6.      U.6Find properties of circles from equations in general form
7.      U.7Graph circles
Ellipses
1.      V.1Find the center, vertices, or co-vertices of an ellipse
2.      V.2Find the length of the major or minor axes of an ellipse
3.      V.3Find the foci of an ellipse
4.      V.4Write equations of ellipses in standard form from graphs
5.      V.5Write equations of ellipses in standard form using properties
6.      V.6Convert equations of ellipses from general to standard form
7.      V.7Find properties of ellipses from equations in general form
Hyperbolas
1.      W.1Find the center of a hyperbola
2.      W.2Find the vertices of a hyperbola
3.      W.3Find the length of the transverse or conjugate axes of a hyperbola
4.      W.4Find the equations for the asymptotes of a hyperbola
5.      W.5Find the foci of a hyperbola
6.      W.6Write equations of hyperbolas in standard form from graphs
7.      W.7Write equations of hyperbolas in standard form using properties
8.      W.8Convert equations of hyperbolas from general to standard form
9.      W.9Find properties of hyperbolas from equations in general form
Angle measures
1.      X.1Convert between radians and degrees
2.      X.2Radians and arc length
3.      X.3Graphs of angles
4.      X.4Quadrants
5.      X.5Coterminal angles
6.      X.6Reference angles
Trigonometry
1.      Y.1Pythagorean Theorem and its converse
2.      Y.2Special right triangles
3.      Y.3Trigonometric ratios: sin, cos, and tan
4.      Y.4Trigonometric ratios: csc, sec, and cot
5.      Y.5Trigonometric ratios in similar right triangles
6.      Y.6Find trigonometric ratios using the unit circle
7.      Y.7Sin, cos, and tan of special angles
8.      Y.8Csc, sec, and cot of special angles
9.      Y.9Find trigonometric functions using a calculator
10.  Y.10Inverses of sin, cos, and tan
11.  Y.11Inverses of csc, sec, and cot
12.  Y.12Solve trigonometric equations I
13.  Y.13Solve trigonometric equations II
14.  Y.14Trigonometric ratios: find a side length
15.  Y.15Trigonometric ratios: find an angle measure
16.  Y.16Solve a right triangle
17.  Y.17Law of Sines
18.  Y.18Law of Cosines
19.  Y.19Solve a triangle
20.  Y.20Area of a triangle: sine formula
21.  Y.21Area of a triangle: Law of Sines
Trigonometric functions
1.      Z.1Find properties of sine functions
2.      Z.2Write equations of sine functions from graphs
3.      Z.3Write equations of sine functions using properties
4.      Z.4Graph sine functions
5.      Z.5Find properties of cosine functions
6.      Z.6Write equations of cosine functions from graphs
7.      Z.7Write equations of cosine functions using properties
8.      Z.8Graph cosine functions
9.      Z.9Graph sine and cosine functions
Trigonometric identities
1.      AA.1Complementary angle identities
2.      AA.2Symmetry and periodicity of trigonometric functions
3.      AA.3Trigonometric identities I
4.      AA.4Trigonometric identities II
Sequences and series
1.      BB.1Find terms of an arithmetic sequence
2.      BB.2Find terms of a geometric sequence
3.      BB.3Evaluate explicit formulas for sequences
4.      BB.4Evaluate recursive formulas for sequences
5.      BB.5Classify formulas and sequences
6.      BB.6Write a formula for an arithmetic sequence
7.      BB.7Write a formula for a geometric sequence
8.      BB.8Write a formula for a recursive sequence
9.      BB.9Sequences: mixed review
10.  BB.10Identify arithmetic and geometric series
11.  BB.11Introduction to sigma notation
12.  BB.12Find the sum of a finite arithmetic or geometric series
13.  BB.13Introduction to partial sums
14.  BB.14Partial sums of arithmetic series
15.  BB.15Partial sums of geometric series
16.  BB.16Partial sums: mixed review
17.  BB.17Convergent and divergent geometric series
18.  BB.18Find the value of an infinite geometric series
19.  BB.19Write a repeating decimal as a fraction
Probability
1.      CC.1Introduction to probability
2.      CC.2Calculate probabilities of events
3.      CC.3Counting principle
4.      CC.4Combinations and permutations
5.      CC.5Find probabilities using combinations and permutations
6.      CC.6Find probabilities using two-way frequency tables
7.      CC.7Identify independent events
8.      CC.8Probability of independent and dependent events
9.      CC.9Find conditional probabilities
10.  CC.10Independence and conditional probability
11.  CC.11Find conditional probabilities using two-way frequency tables
12.  CC.12Find probabilities using the addition rule
13.  CC.13Identify discrete and continuous random variables
14.  CC.14Write a discrete probability distribution
15.  CC.15Graph a discrete probability distribution
16.  CC.16Expected values of random variables
17.  CC.17Write the probability distribution for a game of chance
18.  CC.18Expected values for a game of chance
19.  CC.19Choose the better bet
20.  CC.20Find probabilities using the binomial distribution
21.  CC.21Find probabilities using the normal distribution
Statistics
1.      DD.1Identify biased samples
2.      DD.2Variance and standard deviation
3.      DD.3Identify an outlier
4.      DD.4Identify an outlier and describe the effect of removing it
5.      DD.5Outliers in scatter plots
6.      DD.6Experiment design


 
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