Will this help with my child's high school Pre-Calculus: Algebra homework?

Yes. StudyPug covers every strand in Indiana's Pre-Calculus: Algebra course, from solving equations and working with functions to data analysis, so your child can get unstuck on any assignment.

How long are the video lessons for Pre-Calculus: Algebra?

Most video lessons run between 5 and 15 minutes, broken into focused topics so your child can watch exactly what they need without sitting through a full class review.

Is there an Indiana state test for high school Pre-Calculus: Algebra?

Indiana's ILEARN assessment covers Grades 3-8. High school students take end-of-course assessments in specific subjects; check with your child's school for which tests apply to Pre-Calculus: Algebra.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, laptops, and desktop computers, so your child can study at home, during a commute, or anywhere they have a connection.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can see how the content works before subscribing, and every paid plan is backed by a 30-day money-back guarantee.

IN High School Math Curriculum

Give your high schooler the support they need with lessons and practice built around Indiana's Pre-Calculus: Algebra course, covering every strand your child's class works through.

IN High School Math Curriculum

IDStandardStudyPug Topic

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.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.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.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.CED.A.3Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.
- Determining number of solutions to linear equations
- Linear programming word problems
- Graphing reciprocals of linear functions
- Graphing reciprocals of quadratic functions
CC.HSA.CED.A.4Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
- Point-slope form: y - y_1 = m(x - x_1)
- Graphing quadratic inequalities in two variables
- Graphing systems of quadratic inequalities
CC.HSA.REI.A.1Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
- Combination of both parallel and perpendicular line equations
- Applications of inequalities
- What is linear programming?
CC.HSA.REI.B.3Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
- Solving one-step linear inequalities
- Solving multi-step linear inequalities
- Converting radicals to mixed radicals
- Converting radicals to entire radicals
- Adding and subtracting radicals
CC.HSA.REI.C.5Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
- Shortcut: Vertex formula
- Graphing quadratic functions: General form VS. Vertex form
- Finding the quadratic functions for given parabolas
CC.HSA.REI.C.6Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
- Solving systems of linear equations by elimination
- System of linear equations
CC.HSA.REI.D.10Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
- Solving systems of linear equations by graphing
- Solving a linear system with matrices using Gaussian elimination
- The determinant of a 2 x 2 matrix
- The determinant of a 3 x 3 matrix (General & Shortcut Method)
CC.HSA.REI.D.11Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
- Graphing linear functions using table of values
- Graphing exponential functions
- Graphing logarithmic functions
- The inverse of 3 x 3 matrices with matrix row operations
- The inverse of 3 x 3 matrix with determinants and adjugate
CC.HSA.REI.D.12Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
- Inequalities of combined functions
- Graphing linear inequalities in two variables
- Graphing systems of linear inequalities
- 2 x 2 invertible matrix
- Solving linear systems using Cramer's Rule
CC.HSF.IF.A.1Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
- Domain and range of a function
- Function notation (advanced)
- Identifying functions
CC.HSF.IF.A.2Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
- Function notation
- Difference quotient: applications of functions
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.IF.B.4For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
- Word problems of graphing linear functions
- Characteristics of quadratic functions
- Relationship between two variables
- Understand relations between x- and y-intercepts
- Combining transformations of functions
- Reflection across the y-axis: y = f(-x)
- Reflection across the x-axis: y = -f(x)
- Transformations of functions: Horizontal stretches
- Transformations of functions: Vertical stretches
CC.HSF.IF.B.5Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.
- Point of discontinuity
- Even and odd functions
CC.HSF.IF.B.6Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
- Rate of change
- Direct variation
CC.HSF.IF.C.7Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
- Graphing linear functions using a single point and slope
- Graphing quadratic functions: General form VS. Vertex form
- Graphing exponential functions
- Graphing logarithmic functions
- Graphing from slope-intercept form y=mx+b
- Graphing transformations of exponential functions
- Graphing transformations of logarithmic functions
- Sine graph: y = sin x
- Cosine graph: y = cos x
- Tangent graph: y = tan x
- Cotangent graph: y = cot x
- Secant graph: y = sec x
- Cosecant graph: y = csc x
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.A.1Write a function that describes a relationship between two quantities.
- Applications of linear relations
- Finding an exponential function given its graph
- Finding a logarithmic function given its graph
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.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.LE.A.1Distinguish between situations that can be modeled with linear functions and with exponential functions.
- Introduction to nonlinear equations
- Solving exponential equations using exponent rules
- Exponential decay: Half-life
- Exponential growth and decay by percentage
CC.HSF.LE.A.2Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
- Graphing linear functions using table of values
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.HSS.ID.A.1Represent data with plots on the real number line (dot plots, histograms, and box plots).
- Reading and drawing histograms
- Box-and-whisker plots and scatter plots
- Frequency tables and dot plots
- Frequency distribution and histograms
CC.HSS.ID.A.2Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
- Median and mode
- Mean
- Range and outliers
- Center of a data set: mean, median, mode
- Spread of a data set - standard deviation & variance
CC.HSS.ID.A.3Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).
- Application of averages
- Shapes of distributions
CC.HSS.ID.B.5Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.
- Reading and drawing Venn diagrams
- Probability with Venn diagrams
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

Pre-Calculus: Algebra

About High School Indiana math

Indiana follows the Indiana Academic Standards, organizing high school math into focused courses that build algebraic reasoning and function literacy. Pre-Calculus: Algebra covers number and quantity, expressions and equations, functions and modeling, coordinate geometry, and data and statistics. StudyPug provides video lessons, guided practice, and step-by-step explanations for every strand in this course.

Strands: number and quantity, expressions and equations, functions and modeling, coordinate geometry, and data and statistics
Video lessons for every Pre-Calculus: Algebra topic, aligned to Indiana Academic Standards
Practice problems and step-by-step explanations to build fluency and problem-solving skills
Works on any device so your student can study at home, at school, or on the go

Curriculum topics by strand

Find lessons and practice for every strand in Indiana's Pre-Calculus: Algebra course, aligned to the Indiana Academic Standards.

Topic includes:

Practice

Video

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Standard

StudyPug Topic

Indiana High School Pre-Calculus: Algebra Topics

Number and Quantity: Rational and irrational numbers, properties of real numbers, and using units to guide multi-step problem solving.
Expressions and Equations: Interpreting and rewriting expressions, creating equations and inequalities in one and two variables, solving linear equations and systems, and rearranging formulas.
Functions and Modeling: Function notation, domain and range, key features of graphs, average rate of change, transformations, arithmetic and geometric sequences, and linear versus exponential models.
Coordinate Geometry: Graphing equations and inequalities in two variables, understanding solution sets as intersections of graphs, and using coordinates to compute perimeters and areas.
Data and Statistics: Dot plots, histograms, box plots, measures of center and spread, two-way frequency tables, scatter plots, and describing relationships between quantitative variables.

How StudyPug Helps Indiana High School Math Students

When a student gets stuck on a function transformation or a system of linear equations, StudyPug lets them go back to exactly that concept with a short video lesson and worked examples that walk through each step. They can then try practice problems at their own pace until the idea clicks.

Because the content maps to the Indiana Academic Standards for Pre-Calculus: Algebra, every lesson reinforces what is already being taught in class rather than introducing an unfamiliar approach that conflicts with their teacher.

Aligned to Indiana High School Math Curriculum

Every lesson and practice set in StudyPug's Pre-Calculus: Algebra course is built around the Indiana Academic Standards, covering the same strands - expressions, equations, functions, coordinate geometry, and data - in the same order Indiana classrooms follow, so your child is always working on material that matches their current coursework.

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Practice questions for every Indiana Pre-Calculus Algebra 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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