Will this help with my child's Integrated Math II homework?

Yes. StudyPug covers every strand in Tennessee's Integrated Math II course, including quadratic equations, geometric similarity, trigonometry, and probability, so students can find help on the exact topic their homework covers.

How long are the video lessons?

Most video lessons are short and focused, typically a few minutes each, so students can watch one lesson at a time, practice right away, and move on without sitting through a long lecture.

Is there a state test for Integrated Math II in Tennessee?

Tennessee students take TCAP End-of-Course assessments. Integrated Math II has an associated TCAP EOC, so staying on top of every strand throughout the year helps students prepare for that assessment.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and computers, so your child can practice quadratic functions, review circle theorems, or watch a lesson on the unit circle from any device, at any time.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can see how it works before committing. There is also a 30-day money-back guarantee if the subscription is not the right fit for your family.

TN High School Integrated Math II Curriculum

Give your high schooler the support they need to keep up with Tennessee's Integrated Math II course. Lessons and practice problems follow what their class is actually covering.

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TN High School Integrated 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
- 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
CC.HSS.CP.B.9Use permutations and combinations to compute probabilities of compound events and solve problems.
- Permutations
- Combinations
- Probability involving permutations and combinations

Integrated Math II

About High School Tennessee Integrated Math II

Tennessee follows the Tennessee Academic Standards for math, organized around connected strands rather than isolated units. Integrated Math II covers quadratic equations and functions, polynomial operations, exponential and logarithmic reasoning, trigonometric functions and the unit circle, geometric similarity and circle theorems, coordinate geometry, volume and modeling, and probability including conditional probability and counting methods. StudyPug provides video lessons and practice problems aligned to every strand so students can get unstuck fast.

Strands: quadratic and polynomial algebra, exponential and logarithmic functions, trigonometry and the unit circle, geometric similarity and circles, coordinate geometry, volume and modeling, and probability
Video lessons for every Integrated Math II topic, taught step by step
Practice problems with worked examples and instant feedback
Content aligned to Tennessee Academic Standards for Integrated Math II

Curriculum topics by strand

Lessons and practice organized by strand, aligned to the Tennessee Academic Standards for Integrated Math II.

Topic includes:

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StudyPug Topic

Tennessee High School Integrated Math II Topics

Quantities and expressions: using units to guide multi-step problems, interpreting and rewriting expressions, and choosing appropriate levels of accuracy for measurements.
Polynomial and quadratic algebra: adding, subtracting, and multiplying polynomials; solving quadratic equations; creating and solving equations and inequalities in one or two variables; and solving systems of a linear and a quadratic equation.
Functions and modeling: writing functions in equivalent forms to reveal properties, comparing functions across representations, identifying graph transformations, finding inverse functions, and modeling with arithmetic and geometric sequences.
Exponential and logarithmic reasoning: comparing exponential and polynomial growth, expressing solutions as logarithms, and working with rational exponents and radical expressions.
Trigonometry and the unit circle: radian measure, the unit circle, special triangle values, symmetry and periodicity of trigonometric functions, modeling periodic phenomena, and the Pythagorean identity.
Geometric similarity and triangles: dilations, similarity transformations, the AA criterion, proving theorems about triangles, and applying trigonometric ratios with the Pythagorean Theorem to solve applied problems.
Circles and coordinate geometry: inscribed angles, chords, tangent lines, arc length and sector area, deriving equations of circles and parabolas, and using coordinates to prove geometric theorems and compute perimeters and areas.
Volume and three-dimensional modeling: volume formulas for cylinders, pyramids, cones, and spheres; cross-sections; density; and applying geometric methods to design problems.
Probability: sample spaces, independence, conditional probability, two-way frequency tables, the Addition Rule, the Multiplication Rule, and permutations and combinations.

How StudyPug Helps Tennessee High School Integrated Math II Students

When a student gets stuck on solving a quadratic equation or working through a conditional probability problem, StudyPug lets them go directly to that topic, watch a focused video lesson, and then try practice problems with step-by-step worked examples. There is no need to sit through material they already know.

Because StudyPug is available on any device at any time, students can review a unit circle concept the night before a quiz or work through polynomial operations over the weekend, moving at their own pace without waiting for the next class.

Aligned to Tennessee High School Integrated Math II Curriculum

Every lesson and practice problem on StudyPug is built around the Tennessee Academic Standards for Integrated Math II, covering all strands from quadratic and polynomial algebra through geometric similarity, trigonometry, coordinate geometry, volume modeling, and probability, so what students practice on StudyPug matches exactly what their Tennessee classroom expects them to know.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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