Will this help with my child's High School Mathematics II homework?

Yes. StudyPug covers every strand in Alaska Mathematics II, including quadratic equations, polynomial functions, trigonometry, geometric proofs, and probability, so students can find help for any homework problem they face.

How long are the video lessons for Mathematics II?

Most video lessons run between 5 and 15 minutes, making them easy to fit into a study session. Students can pause, rewind, and re-watch any lesson as many times as they need to feel confident with the material.

Is there a state test for High School Mathematics II in Alaska?

Alaska uses the AK STAR assessment, which is administered in selected grades. High school students in Alaska should check with their school for the specific grade levels and courses included in current AK STAR testing requirements.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and computers, so your child can practice Mathematics II topics at home, at school, or on the go without needing to switch devices.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so families can see the content before subscribing. There is also a 30-day money-back guarantee if the service is not the right fit after signing up.

AK High School Math II Curriculum

Give your high schooler the support they need in Mathematics II. Every lesson and practice problem is built around what Alaska schools actually teach, from quadratics to trigonometry to probability.

AK High School Math II Curriculum

IDStandardStudyPug Topic

CC.HSN.Q.A.1Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
- Metric systems
- Imperial systems
- Scale diagrams
- Conversions involving squares and cubic
CC.HSN.Q.A.2Define appropriate quantities for the purpose of descriptive modeling.
- Conversions between metric and imperial systems
- Squares and square roots
- Pythagorean theorem
- Estimating square roots
- Using the pythagorean relationship
- Applications of pythagorean theorem
CC.HSN.Q.A.3Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
- Upper and lower bound
- Cubic and cube roots
- Ratios
- Rates
- Proportions
- Percents, fractions, and decimals
CC.HSA.SSE.A.1Interpret expressions that represent a quantity in terms of its context.
- What is a polynomial?
- Applications of linear equations
CC.HSA.SSE.A.2Use the structure of an expression to identify ways to rewrite it.
- Polynomial components
- Simplifying rational expressions and restrictions
- Applications of polynomials
- Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
CC.HSA.SSE.B.3Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
- Common factors of polynomials
- Adding and subtracting rational expressions
- Evaluating polynomials
- Using algebra tiles to factor polynomials
- Solving polynomial equations
CC.HSA.APR.A.1Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
- Multiplying binomial by binomial
- Multiplying polynomial by polynomial
- Polynomial functions
- Factoring trinomials
- Factoring difference of cubes
- Factoring sum of cubes
CC.HSA.APR.B.3Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
- Factoring polynomials: x^2 + bx + c
- Characteristics of polynomial graphs
- Factor theorem
- Rational zero theorem
CC.HSA.CED.A.1Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
- Introduction to linear equations
- Solving rational equations
- Solving exponential equations using exponent rules
CC.HSA.CED.A.2Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
- Slope intercept form: y = mx + b
- Graphs of rational functions
- Applications of rational equations
- Simplifying complex fractions
- Partial fraction decomposition
CC.HSA.REI.B.4Solve quadratic equations in one variable.
- Solving quadratic equations by factoring
- Solving quadratic equations by completing the square
- Using quadratic formula to solve quadratic equations
- Multiplying and dividing radicals
- Rationalize the denominator
CC.HSA.REI.C.7Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.
- System of linear-quadratic equations
- Nature of roots of quadratic equations: The discriminant
- Applications of quadratic equations
- Solving quadratic inequalities
CC.HSF.IF.C.8Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
- Slope intercept form: y = mx + b
- General form: Ax + By + C = 0
- Point-slope form: y - y_1 = m(x - x_1)
- Converting from general to vertex form by completing the square
- Adding functions
- Subtracting functions
- Multiplying functions
- Dividing functions
- Operations with functions
CC.HSF.IF.C.9Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).
- Parallel and perpendicular lines in linear functions
- Graphs of rational functions
- Inequalities of combined functions
CC.HSF.BF.B.3Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.
- Transformations of quadratic functions
- Transformations of functions: Horizontal translations
- Transformations of functions: Vertical translations
CC.HSF.BF.B.4Find inverse functions.
- Finding the quadratic functions for given parabolas
- Inverse functions
CC.HSF.LE.A.3Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
- Parallel line equation
- Quadratic function in general form: y = ax^2 + bx + c
CC.HSF.LE.A.4For exponential models, express as a logarithm the solution to ab^ct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.
- Quotient rule of logarithms
- Combining product rule and quotient rule in logarithms
- Power rule of logarithms
- Evaluating logarithms using logarithm rules
CC.HSF.IF.A.3Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.
- Greatest common factors (GCF)
- Introduction to sequences
- Sigma notation
CC.HSF.BF.A.2Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
- Arithmetic sequences
- Geometric sequences
- Arithmetic series
- Geometric series
- Infinite geometric series
CC.HSN.RN.A.1Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents.
- Convert between radicals and rational exponents
- Exponents: Product rule (a^x)(a^y) = a^(x+y)
- Exponents: Division rule: a^x / a^y = a^(x-y)
- Exponents: Power rule: (a^x)^y = a^(xy)
- Exponents: Negative exponents
- Exponents: Zero exponent: a^0 = 1
- Exponents: Rational exponents
CC.HSN.RN.A.2Rewrite expressions involving radicals and rational exponents using the properties of exponents.
- Solving for exponents
- Operations with radicals
- Conversion between entire radicals and mixed radicals
- Converting radicals to mixed radicals
- Converting radicals to entire radicals
- Adding and subtracting radicals
- Multiplying and dividing radicals
- Rationalize the denominator
- Evaluating and simplifying radicals
CC.HSN.RN.B.3Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational.
- Rational vs. Irrational numbers
- Solving radical equations
- Converting repeating decimals to fractions
CC.HSF.TF.A.1Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.
- Converting between degrees and radians
- Trigonometric ratios of angles in radians
- Radian measure and arc length
CC.HSF.TF.A.2Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.
- Unit circle
CC.HSF.TF.A.3Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms of their values for x, where x is any real number.
- Find the exact value of trigonometric ratios
- Solving expressions using 45-45-90 special right triangles
- Solving expressions using 30-60-90 special right triangles
CC.HSF.TF.B.5Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.
- Graphing transformations of trigonometric functions
- Determining trigonometric functions given their graphs
CC.HSF.TF.C.8Prove the Pythagorean identity sin^2(θ) + cos^2(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
- Pythagorean identities
CC.HSG.SRT.A.1Verify experimentally the properties of dilations given by a center and a scale factor.
- Enlargements and reductions with scale factors
CC.HSG.SRT.A.2Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
- Similar triangles
CC.HSG.SRT.B.4Prove theorems about triangles.
- Pythagorean theorem
- Estimating square roots
- Using the pythagorean relationship
- Applications of pythagorean theorem
CC.HSG.SRT.B.5Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
- Similar polygons
CC.HSG.SRT.C.6Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
- Use sine ratio to calculate angles and sides (Sin = o / h)
- Use tangent ratio to calculate angles and sides (Tan = o / a)
CC.HSG.SRT.C.7Explain and use the relationship between the sine and cosine of complementary angles.
- Use cosine ratio to calculate angles and sides (Cos = a / h)
- Cofunction identities
CC.HSG.SRT.C.8Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
- Combination of SohCahToa questions
- Word problems relating ladder in trigonometry
- Word problems relating guy wire in trigonometry
- Other word problems relating angles in trigonometry
CC.HSG.C.A.1Prove that all circles are similar.
- Central angles and proofs
CC.HSG.C.A.2Identify and describe relationships among inscribed angles, radii, and chords.
- Central and inscribed angles in circles
CC.HSG.C.A.3Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
- Circle chord, tangent, and inscribed angles proofs
CC.HSG.C.A.4Construct a tangent line from a point outside a given circle to the circle.
- Tangent properties
CC.HSG.C.B.5Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
- Radian measure and arc length
- Converting between degrees and radians
- Trigonometric ratios of angles in radians
CC.HSG.GPE.A.1Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
- Conics - Circle
CC.HSG.GPE.A.2Derive the equation of a parabola given a focus and directrix.
- Conics - Parabola
CC.HSG.GPE.B.4Use coordinates to prove simple geometric theorems algebraically.
- Introduction to vectors
- Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- Slope intercept form: y = mx + b
- General form: Ax + By + C = 0
- Point-slope form: y - y_1 = m(x - x_1)
CC.HSG.GPE.B.5Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.
- Parallel line equation
- Perpendicular line equation
- Combination of both parallel and perpendicular line equations
CC.HSG.GPE.B.6Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
- Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
CC.HSG.GPE.B.7Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
- Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
CC.HSG.GMD.A.1Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.
- Surface area and volume of cylinders
- Surface area and volume of cones
- Surface area and volume of prisms
CC.HSG.GMD.A.3Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
- Surface area and volume of pyramids
CC.HSG.GMD.B.4Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
- Surface area of 3-dimensional shapes
- Introduction to surface area of 3-dimensional shapes
- Nets of 3-dimensional shapes
CC.HSG.MG.A.1Use geometric shapes, their measures, and their properties to describe objects.
- Scale diagrams
CC.HSG.MG.A.2Apply concepts of density based on area and volume in modeling situations.
- Word problems of polynomials
CC.HSS.ID.B.6Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
- Reading and drawing line graphs
- Bivariate, scatter plots and correlation
CC.HSS.CP.A.1Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events ("or," "and," "not").
- Introduction to probability
- Organizing outcomes
- Introduction to probability
- Set notation
- Set builder notation
- Intersection and union of 2 sets
- Intersection and union of 3 sets
CC.HSS.CP.A.2Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.
- Probability of independent events
- Multiplication rule for "AND"
- Probability of independent events
CC.HSS.CP.A.3Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.
- Conditional probability
CC.HSS.CP.A.5Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.
- Comparing experimental and theoretical probability
CC.HSS.CP.B.7Apply the Addition Rule, P(A or B) = P(A) + P(B) - P(A and B), and interpret the answer in terms of the model.
- Addition rule for "OR"
CC.HSS.CP.B.9Use permutations and combinations to compute probabilities of compound events and solve problems.
- Permutations
- Combinations
- Probability involving permutations and combinations

Mathematics II

About High School Alaska Mathematics II

Alaska Mathematics II follows the Alaska Mathematics Standards and covers a wide range of interconnected topics. This course works through expressions and equations, quadratic and polynomial functions, exponential and logarithmic reasoning, trigonometric functions and the unit circle, geometric similarity and right-triangle trigonometry, circle theorems, coordinate geometry, solid geometry, and probability. StudyPug provides video lessons and step-by-step practice problems aligned to every strand in this course.

Strands: expressions and equations, quadratic and polynomial functions, exponential and logarithmic reasoning, trigonometry, geometry, and probability
Video lessons for every Mathematics II topic aligned to Alaska Mathematics Standards
Practice problems with step-by-step solutions for each strand
Progress tracking so families can see where their student needs more support

Curriculum topics by strand

Browse lessons and practice problems for every strand in Alaska High School Mathematics II, aligned to the Alaska Mathematics Standards.

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Alaska High School Mathematics II Topics

Quantities and Units: Using units to understand multi-step problems, choosing appropriate scales, and interpreting quantities in context.
Expressions and Polynomial Operations: Interpreting, rewriting, and factoring expressions; adding, subtracting, and multiplying polynomials; identifying zeros.
Equations and Inequalities: Creating and solving equations and inequalities in one or two variables, including linear, quadratic, rational, and exponential forms; solving systems of linear and quadratic equations.
Functions: Comparing properties of functions, analyzing transformations, finding inverse functions, and recognizing sequences as functions including arithmetic and geometric sequences.
Exponential and Logarithmic Reasoning: Comparing exponential and polynomial growth, expressing solutions as logarithms, and working with rational exponents and radicals.
Trigonometric Functions: Radian measure, the unit circle, special triangle values, symmetry and periodicity, modeling periodic phenomena, and the Pythagorean identity.
Geometric Similarity and Congruence: Dilations, similarity transformations, the AA criterion, triangle theorems, and applying congruence and similarity to solve problems.
Right Triangle Trigonometry: Trigonometric ratios for acute angles, the relationship between sine and cosine of complementary angles, and applying the Pythagorean Theorem in applied problems.
Circles and Coordinate Geometry: Inscribed angles, chords, arc length, radian measure, equations of circles and parabolas, slope criteria, and coordinate proofs.
Solid Geometry and Modeling: Volume formulas for cylinders, pyramids, cones, and spheres; cross-sections; density; and applying geometric methods to design problems.
Statistics and Probability: Scatter plots, sample spaces, independence, conditional probability, two-way frequency tables, the Addition Rule, the Multiplication Rule, and counting methods.

How StudyPug Helps Alaska High School Mathematics II Students

When a student gets stuck on a quadratic equation or a geometry proof, StudyPug lets them go back to the exact concept causing trouble. Clear video lessons break each skill into small steps, and practice problems with worked solutions let students check their understanding right away rather than waiting until the next class.

StudyPug covers every strand of Alaska Mathematics II in one place, so there is no need to search across multiple resources. Students can work at their own pace, revisit any topic as often as needed, and build confidence going into quizzes and unit tests.

Aligned to Alaska High School Mathematics II Curriculum

Every lesson and practice problem on StudyPug is built around the Alaska Mathematics Standards for Mathematics II. That means the content matches what teachers in Alaska are covering in class, from expressions and functions through geometry and probability, so students are always working on the right material at the right time.

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Practice questions for every AK High School Math II topic - with instant feedback and step-by-step video solutions when you get stuck.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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