AP & College Prep Level O | Hesten's Learning

Module 1

Math Standards & Skills - Module 1

Comprehensive academic competencies for Advanced Placement aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Standards for Mathematical Practice (HS.MP)

Topic A Honors Achieved!

All skills in Standards for Mathematical Practice (HS.MP) completed or mastered!

MP.1 Make sense of problems and persevere in solving them.

MP.2 Reason abstractly and quantitatively.

MP.3 Construct viable arguments and critique the reasoning of others.

MP.4 Model with mathematics.

MP.5 Use appropriate tools strategically.

MP.6 Attend to precision.

MP.7 Look for and make use of structure.

MP.8 Look for and express regularity in repeated reasoning.

Quantities★ (N-Q)

Topic B Honors Achieved!

All skills in Quantities★ (N-Q) completed or mastered!

HSN-Q.A.1 Use 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.

HSN-Q.A.2 Define appropriate quantities for the purpose of descriptive modeling.

HSN-Q.A.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

Seeing Structure in Expressions (A-SSE)

Topic C Honors Achieved!

All skills in Seeing Structure in Expressions (A-SSE) completed or mastered!

HSA-SSE.A.1 Interpret expressions that represent a quantity in terms of its context.

HSA-SSE.A.2 Use the structure of an expression to identify ways to rewrite it.

HSA-SSE.B.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

Module 2

Math Standards & Skills - Module 2

Comprehensive academic competencies for Advanced Placement aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Arithmetic with Polynomials and Rational Expressions (A-APR)

Topic D Honors Achieved!

All skills in Arithmetic with Polynomials and Rational Expressions (A-APR) completed or mastered!

HSA-APR.A.1 Understand 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.

Creating Equations★ (A-CED)

Topic E Honors Achieved!

All skills in Creating Equations★ (A-CED) completed or mastered!

HSA-CED.A.1 Create equations and inequalities in one variable and use them to solve problems.

HSA-CED.A.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

HSA-CED.A.3 Represent 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.

HSA-CED.A.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

Reasoning with Equations and Inequalities (A-REI)

Topic F Honors Achieved!

All skills in Reasoning with Equations and Inequalities (A-REI) completed or mastered!

HSA-REI.A.1 Explain 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.

HSA-REI.B.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

HSA-REI.B.4 Solve quadratic equations in one variable.

HSA-REI.C.5 Prove 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.

HSA-REI.C.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

HSA-REI.D.10 Understand 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).

HSA-REI.D.11 Explain 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.

HSA-REI.D.12 Graph 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.

Module 3

Math Standards & Skills - Module 3

Comprehensive academic competencies for Advanced Placement aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Interpreting Functions (F-IF)

Topic G Honors Achieved!

All skills in Interpreting Functions (F-IF) completed or mastered!

HSF-IF.A.1 Understand 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.

HSF-IF.A.2 Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

HSF-IF.A.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

HSF-IF.B.4 For 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.

HSF-IF.B.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

HSF-IF.B.6 Calculate 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.

HSF-IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

HSF-IF.C.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

HSF-IF.C.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

Building Functions (F-BF)

Topic H Honors Achieved!

All skills in Building Functions (F-BF) completed or mastered!

HSF-BF.A.1 Write a function that describes a relationship between two quantities.

HSF-BF.B.3 Identify 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.

Linear, Quadratic, and Exponential Models★ (F-LE)

Topic I Honors Achieved!

All skills in Linear, Quadratic, and Exponential Models★ (F-LE) completed or mastered!

HSF-LE.A.1 Distinguish between situations that can be modeled with linear functions and with exponential functions.

HSF-LE.A.2 Construct 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).

HSF-LE.A.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

HSF-LE.B.5 Interpret the parameters in a linear or exponential function in terms of a context.

Module 4

Math Standards & Skills - Module 4

Comprehensive academic competencies for Advanced Placement aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Interpreting Categorical and Quantitative Data (S-ID)

Topic J Honors Achieved!

All skills in Interpreting Categorical and Quantitative Data (S-ID) completed or mastered!

HSS-ID.A.1 Represent data with plots on the real number line (dot plots, histograms, and box plots).

HSS-ID.A.2 Use 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.

HSS-ID.A.3 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

HSS-ID.A.4 Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate.

HSS-ID.B.5 Summarize 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).

HSS-ID.B.6 Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

HSS-ID.C.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

HSS-ID.C.8 Compute (using technology) and interpret the correlation coefficient of a linear fit.

HSS-ID.C.9 Distinguish between correlation and causation.

Congruence (G-CO)

Topic K Honors Achieved!

All skills in Congruence (G-CO) completed or mastered!

HSG-CO.A.1 Know 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.

HSG-CO.A.2 Represent 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.

HSG-CO.A.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

HSG-CO.A.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

HSG-CO.A.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software.

HSG-CO.B.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure.

HSG-CO.B.7 Use 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.

HSG-CO.B.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

HSG-CO.C.9 Prove theorems about lines and angles.

HSG-CO.C.10 Prove theorems about triangles.

HSG-CO.C.11 Prove theorems about parallelograms.

HSG-CO.D.12 Make formal geometric constructions with a variety of tools and methods.

HSG-CO.D.13 Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

Similarity, Right Triangles, and Trigonometry (G-SRT)

Topic L Honors Achieved!

All skills in Similarity, Right Triangles, and Trigonometry (G-SRT) completed or mastered!

HSG-SRT.A.1 Verify experimentally the properties of dilations given by a center and a scale factor.

HSG-SRT.A.2 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar.

HSG-SRT.A.3 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

HSG-SRT.B.4 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.

HSG-SRT.B.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

HSG-SRT.C.6 Understand 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.

HSG-SRT.C.7 Explain and use the relationship between the sine and cosine of complementary angles.

HSG-SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

Module 5

Math Standards & Skills - Module 5

Comprehensive academic competencies for Advanced Placement aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Circles (G-C)

Topic M Honors Achieved!

All skills in Circles (G-C) completed or mastered!

HSG-C.A.1 Prove that all circles are similar.

HSG-C.A.2 Identify and describe relationships among inscribed angles, radii, and chords.

HSG-C.A.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

HSG-C.B.5 Derive 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.

Expressing Geometric Properties with Equations (G-GPE)

Topic N Honors Achieved!

All skills in Expressing Geometric Properties with Equations (G-GPE) completed or mastered!

HSG-GPE.A.1 Derive 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.

HSG-GPE.A.2 Derive the equation of a parabola given a focus and directrix.

HSG-GPE.B.4 Use coordinates to prove simple geometric theorems algebraically.

HSG-GPE.B.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.

HSG-GPE.B.6 Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

HSG-GPE.B.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

Geometric Measurement and Dimension (G-GMD)

Topic O Honors Achieved!

All skills in Geometric Measurement and Dimension (G-GMD) completed or mastered!

HSG-GMD.A.1 Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.

HSG-GMD.A.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

HSG-GMD.B.4 Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

Module 6

Math Standards & Skills - Module 6

Comprehensive academic competencies for Advanced Placement aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Modeling with Geometry (G-MG)

Topic P Honors Achieved!

All skills in Modeling with Geometry (G-MG) completed or mastered!

HSG-MG.A.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

HSG-MG.A.2 Apply concepts of density based on area and volume in modeling situations.

HSG-MG.A.3 Apply geometric methods to solve design problems.

The Real Number System (N-RN)

Topic Q Honors Achieved!

All skills in The Real Number System (N-RN) completed or mastered!

HSN-RN.A.1 Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values.

HSN-RN.A.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

HSN-RN.B.3 Explain 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.

The Complex Number System (N-CN)

Topic R Honors Achieved!

All skills in The Complex Number System (N-CN) completed or mastered!

HSN-CN.A.1 Know there is a complex number i such that i² = -1, and every complex number has the form a + bi with a and b real.

HSN-CN.A.2 Use the relation i² = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

HSN-CN.C.7 Solve quadratic equations with real coefficients that have complex solutions.

Module 7

Math Standards & Skills - Module 7

Comprehensive academic competencies for Advanced Placement aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Trigonometric Functions (F-TF)

Topic S Honors Achieved!

All skills in Trigonometric Functions (F-TF) completed or mastered!

HSF-TF.A.1 Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

HSF-TF.A.2 Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers.

HSF-TF.B.5 Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.

HSF-TF.C.8 Prove the Pythagorean identity sin²(θ) + cos²(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ).

Making Inferences and Justifying Conclusions (S-IC)

Topic T Honors Achieved!

All skills in Making Inferences and Justifying Conclusions (S-IC) completed or mastered!

HSS-IC.A.1 Understand statistics as a process for making inferences about population parameters based on a random sample from that population.

HSS-IC.A.2 Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.

HSS-IC.B.3 Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.

HSS-IC.B.4 Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.

HSS-IC.B.5 Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.

HSS-IC.B.6 Evaluate reports based on data.

Conditional Probability and the Rules of Probability (S-CP)

Topic U Honors Achieved!

All skills in Conditional Probability and the Rules of Probability (S-CP) completed or mastered!

HSS-CP.A.1 Describe 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").

HSS-CP.A.2 Understand 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.

HSS-CP.A.3 Understand 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.

HSS-CP.A.4 Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.

HSS-CP.A.5 Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.

HSS-CP.B.6 Find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model.

HSS-CP.B.7 Apply the Addition Rule, P(A or B) = P(A) + P(B) - P(A and B), and interpret the answer in terms of the model.

Module 8

Math Standards & Skills - Module 8

Comprehensive academic competencies for Advanced Placement aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Vector and Matrix Quantities (N-VM)

Topic V Honors Achieved!

All skills in Vector and Matrix Quantities (N-VM) completed or mastered!

HSN-VM.A.1 (+) Recognize vector quantities as having both magnitude and direction.

HSN-VM.A.2 (+) Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

HSN-VM.A.3 (+) Solve problems involving velocity and other quantities that can be represented by vectors.

HSN-VM.B.4 (+) Add and subtract vectors.

HSN-VM.B.5 (+) Multiply a vector by a scalar.

HSN-VM.C.6 (+) Use matrices to represent and manipulate data.

HSN-VM.C.7 (+) Multiply matrices by scalars to produce new matrices.

HSN-VM.C.8 (+) Add, subtract, and multiply matrices of appropriate dimensions.

HSN-VM.C.9 (+) Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation.

HSN-VM.C.10 (+) Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers.

HSN-VM.C.11 (+) Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector.

HSN-VM.C.12 (+) Work with 2x2 matrices as transformations of the plane.

Using Probability to Make Decisions (S-MD)

Topic W Honors Achieved!

All skills in Using Probability to Make Decisions (S-MD) completed or mastered!

HSS-MD.A.1 (+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space.

HSS-MD.A.2 (+) Calculate the expected value of a random variable.

HSS-MD.A.3 (+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated.

HSS-MD.A.4 (+) Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically.

HSS-MD.B.5 (+) Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.

HSS-MD.B.6 (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).

HSS-MD.B.7 (+) Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).

Module 1

Ela Standards & Skills - Module 1

Comprehensive academic competencies for Advanced Placement aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Reading: Literature (RL.9-12)

RL.9-12.1 Cite strong and thorough textual evidence to support analysis of what the text says explicitly as well as inferences drawn from the text, including determining where the text leaves matters uncertain.

RL.9-12.2 Determine two or more themes or central ideas of a text and analyze their development over the course of the text, including how they interact and build on one another to produce a complex account.

RL.9-12.3 Analyze the impact of the author's choices regarding how to develop and relate elements of a story or drama (e.g., complex characterization, multiple plotlines, nonlinear timeline).

RL.9-12.4 Determine the meaning of words and phrases as they are used in the text, including figurative and connotative meanings; analyze the cumulative impact of specific word choices on meaning and tone.

Reading: Informational Text (RI.9-12)

RI.9-12.6 Determine an author's point of view or purpose in a text in which the rhetoric is particularly effective, analyzing how style and content contribute to the power, persuasiveness, or beauty of the text.

RI.9-12.8 Delineate and evaluate the reasoning in seminal U.S. texts, including the application of constitutional principles and use of legal reasoning (e.g., in U.S. Supreme Court majority opinions and dissents).

RI.9-12.9 Analyze foundational U.S. documents of historical and literary significance (e.g., The Declaration of Independence, The Preamble, Lincoln's Second Inaugural) for their themes, purposes, and rhetorical features.

Writing Standards (W.9-12)

W.9-12.1 Write arguments to support claims in an analysis of substantive topics or texts, using valid reasoning and relevant and sufficient evidence; introduce precise, knowledgeable claim(s), establish significance, distinguish from counterclaim(s), and develop claims thoroughly.

W.9-12.2 Write informative/explanatory texts to examine and convey complex ideas, concepts, and information clearly and accurately through the effective selection, organization, and analysis of content.

W.9-12.7 Conduct sustained research projects to answer a question or solve a problem; narrow or broaden the inquiry; synthesize multiple sources on the subject.

Module 2

Ela Standards & Skills - Module 2

Comprehensive academic competencies for Advanced Placement aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Language & Rhetoric (L.9-12)

L.9-12.1 Apply the understanding that usage is a matter of convention, can change over time, and is sometimes contested; resolve issues of complex or contested usage consulting references.

L.9-12.3 Apply knowledge of language to understand how language functions in different contexts, to make effective choices for meaning or style, and to comprehend more fully when reading or listening.

L.9-12.5 Demonstrate understanding of figurative language, word relationships, and nuances in word meanings (hyperbole, paradox, subtle connotations).

Module 1

Science Standards & Skills - Module 1

Comprehensive academic competencies for Advanced Placement aligned with national frameworks.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

HS-PS: Physical Sciences (Chemistry & Physics)

HS-PS1-1 Use the periodic table as a model to predict the relative properties of elements based on the patterns of electrons in the outermost energy level of atoms.

HS-PS1-7 Use mathematical representations to support the claim that atoms, and therefore mass, are conserved during a chemical reaction.

HS-PS2-1 Analyze data to support the claim that Newton's second law of motion describes the mathematical relationship among the net force on a macroscopic object, its mass, and its acceleration.

HS-PS3-1 Create a computational model to calculate the change in the energy of one component in a system when the change in energy of the other component(s) and energy flows in and out of the system are known.

HS-PS4-3 Evaluate the claims, evidence, and reasoning behind the idea that electromagnetic radiation can be described either by a wave model or a particle model (wave-particle duality).

HS-LS: Life Sciences (Cellular, Genetic, & Ecological Systems)

HS-LS1-1 Construct an explanation based on evidence for how the structure of DNA determines the structure of proteins which carry out the essential functions of life through systems of specialized cells.

HS-LS3-1 Ask questions to clarify relationships about the role of DNA and chromosomes in coding the instructions for characteristic traits passed from parents to offspring.

HS-LS4-1 Communicate scientific information that common ancestry and biological evolution are supported by multiple lines of empirical evidence.

HS-ESS: Earth & Space Sciences

HS-ESS1-2 Construct an explanation of the Big Bang theory based on astronomical evidence of light spectra, motion of distant galaxies, and composition of matter in the universe.

HS-ESS2-4 Use a model to describe how variations in the flow of energy into and out of Earth's systems result in changes in climate.

Module 1

Social Standards & Skills - Module 1

Comprehensive academic competencies for Advanced Placement aligned with national frameworks.

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Module 1

Math Standards & Skills - Module 1

Standards for Mathematical Practice (HS.MP)

Quantities★ (N-Q)

Seeing Structure in Expressions (A-SSE)

Module 2

Math Standards & Skills - Module 2

Arithmetic with Polynomials and Rational Expressions (A-APR)

Creating Equations★ (A-CED)

Reasoning with Equations and Inequalities (A-REI)

Module 3

Math Standards & Skills - Module 3

Interpreting Functions (F-IF)

Building Functions (F-BF)

Linear, Quadratic, and Exponential Models★ (F-LE)

Module 4

Math Standards & Skills - Module 4

Interpreting Categorical and Quantitative Data (S-ID)

Congruence (G-CO)

Similarity, Right Triangles, and Trigonometry (G-SRT)

Module 5

Math Standards & Skills - Module 5

Circles (G-C)

Expressing Geometric Properties with Equations (G-GPE)

Geometric Measurement and Dimension (G-GMD)

Module 6

Math Standards & Skills - Module 6

Modeling with Geometry (G-MG)

The Real Number System (N-RN)

The Complex Number System (N-CN)

Module 7

Math Standards & Skills - Module 7

Trigonometric Functions (F-TF)

Making Inferences and Justifying Conclusions (S-IC)

Conditional Probability and the Rules of Probability (S-CP)

Module 8

Math Standards & Skills - Module 8

Vector and Matrix Quantities (N-VM)

Using Probability to Make Decisions (S-MD)

Module 1

Ela Standards & Skills - Module 1

Reading: Literature (RL.9-12)

Reading: Informational Text (RI.9-12)

Writing Standards (W.9-12)

Module 2

Ela Standards & Skills - Module 2

Language & Rhetoric (L.9-12)

Module 1

Science Standards & Skills - Module 1

HS-PS: Physical Sciences (Chemistry & Physics)

HS-LS: Life Sciences (Cellular, Genetic, & Ecological Systems)

HS-ESS: Earth & Space Sciences

Module 1

Social Standards & Skills - Module 1

U.S. Government & Constitutional Law (D2.Civ.9-12)

Macroeconomics & Global Markets (D2.Eco.9-12)

Modern World & U.S. History (D2.His.9-12)