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

Yes. StudyPug covers every Mathematics I strand in Alaska's curriculum, from solving systems of equations to analyzing data sets, so students can find exactly the topic they are stuck on and get a clear explanation right away.

How long are the video lessons for Mathematics I?

Most video lessons run between five and fifteen minutes, focused on one concept at a time. Students can pause, rewind, and re-watch as many times as needed, making it easy to fit a lesson into a homework session.

Is there an Alaska state test for High School Mathematics I?

Alaska high school students take the AK STAR assessment. Mathematics I content is assessed as part of the high school math sequence, so practicing the strands in this course 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 students can practice Mathematics I topics at home, on the go, or anywhere they have an internet connection.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can explore the content before subscribing. There is also a 30-day money-back guarantee, giving your family time to make sure it is the right fit for Mathematics I.

AK High School Math I Curriculum

Give your high schooler the support they need in Mathematics I. Our lessons and practice problems follow Alaska Mathematics Standards so every topic connects directly to what is taught in class.

AK High School Math I Curriculum

IDStandardStudyPug Topic

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.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.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.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.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.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.B.5Interpret the parameters in a linear or exponential function in terms of a context.
- Exponential growth and decay by a factor
- Finance: Compound interest
- Continuous growth and decay
- Logarithmic scale: Richter scale (earthquake)
- Logarithmic scale: pH scale
- Logarithmic scale: dB scale
- Finance: Future value and present value
CC.HSG.CO.A.1Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
- Parallel and perpendicular line segments
- Line symmetry
- Angles in a circle
- Chord properties
- Circles and circumference
- Arcs of a circle
- Areas and sectors of circles
CC.HSG.CO.A.2Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.
- Introduction to transformations
- Rotational symmetry and transformations
CC.HSG.CO.A.3Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
- Horizontal and vertical distances
- Rectangles
- Parallelograms
- Trapezoids, rhombi, and kites
- Polygons
- Complex polygons
CC.HSG.CO.B.6Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
- Congruence and congruent triangles
CC.HSG.CO.B.7Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
- Triangles congruent by SSS proofs
CC.HSG.CO.B.8Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
- Triangles congruent by SAS and HL proofs
- Triangles congruent by ASA and AAS proofs
CC.HSG.CO.C.9Prove theorems about lines and angles.
- Parallel lines and transversals
- Pairs of lines and angles
- Parallel line proofs
- Perpendicular line proofs
CC.HSG.CO.C.10Prove theorems about triangles.
- Isosceles and equilateral triangles
- Classifying triangles
- Triangles
CC.HSG.CO.C.11Prove theorems about parallelograms.
- Area and perimeter of parallelograms
CC.HSG.CO.D.12Make formal geometric constructions with a variety of tools and methods.
- Perpendicular bisectors
CC.HSG.CO.D.13Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
- Inscribed angles and proofs
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.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
CC.HSS.ID.C.7Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.
- Slope intercept form: y = mx + b
- Rate of change
- Regression analysis
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

Mathematics I

About High School Alaska Mathematics I

Alaska Mathematics I follows the Alaska Mathematics Standards, organized around expressions and equations, functions, geometry, and statistics and probability. Students work through linear and exponential functions, systems of equations, polynomial operations, geometric transformations and congruence, coordinate geometry, and data analysis including scatter plots and correlation. StudyPug provides video lessons, worked examples, and practice problems aligned to each strand of the Alaska Mathematics Standards for Mathematics I.

Strands covered: Expressions and Equations, Functions, Geometry (Transformations and Congruence, Coordinate Geometry), and Statistics and Probability
Step-by-step video lessons for every Mathematics I topic on the Alaska Mathematics Standards
Practice problems and worked examples for each strand
Curriculum-aligned content built to match what Alaska high school students are taught in Mathematics I

Curriculum topics by strand

Find lessons and practice problems for every Mathematics I strand, aligned to the Alaska Mathematics Standards.

Topic includes:

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Alaska High School Mathematics I Topics

Expressions and Equations: Interpreting and rewriting expressions, creating and solving equations and inequalities in one and two variables, solving systems of linear equations, and working with linear inequalities and constraints.
Polynomial Operations: Adding, subtracting, and multiplying polynomials, identifying zeros from factorizations, and connecting polynomial structure to graphs.
Functions: Understanding function notation and domain and range, interpreting key features of graphs and tables, average rate of change, graphing linear and exponential functions, arithmetic and geometric sequences, and function transformations.
Geometry - Transformations and Congruence: Precise geometric definitions, transformations in the plane including rotations, reflections, and translations, congruence in terms of rigid motions, triangle congruence criteria, and proofs about lines, triangles, and parallelograms.
Coordinate Geometry: Using coordinates to prove geometric theorems, slope criteria for parallel and perpendicular lines, partitioning line segments, and computing perimeters and areas with the distance formula.
Statistics and Probability: Data displays including dot plots, histograms, and box plots, comparing data distributions, two-way frequency tables, scatter plots, linear models, correlation coefficients, and distinguishing correlation from causation.
Quantities and Modeling: Using units to guide problem solving, defining quantities for descriptive modeling, and choosing appropriate levels of accuracy.

How StudyPug Helps Alaska High School Mathematics I Students

When a student gets stuck on a Mathematics I concept - whether it is graphing a system of linear inequalities, working through a geometric proof, or interpreting a correlation coefficient - StudyPug lets them go directly to that topic, watch a focused video lesson, and then try practice problems to check their understanding. The content is organized by strand so it is straightforward to find what matches the current unit in class.

Parents can track progress across the strands covered in Alaska Mathematics Standards, helping the whole family stay on top of what is being learned and where more practice might be needed.

Aligned to Alaska High School Mathematics I Curriculum

Every lesson and practice problem in this course is built to the Alaska Mathematics Standards for Mathematics I, covering the same expressions, equations, functions, geometry, and statistics strands that Alaska high school teachers use in the classroom - so students are always practicing exactly what their course requires.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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