11th Grade Level M | Hesten's Learning

Module 1

Module 1: Polynomial, Rational, and Radical Relationships

Develop polynomial arithmetic, factoring strategies, the Remainder and Factor Theorems, rational equations, radical operations, and complex numbers.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Polynomials—From Base Ten to Base X

Topic A Honors Achieved!

All skills in Polynomials—From Base Ten to Base X completed or mastered!

M.M1.A.1 Successive Differences in Polynomials

M.M1.A.2 The Multiplication of Polynomials

M.M1.A.3 The Division of Polynomials

M.M1.A.4 Comparing Methods—Long Division, Again?

M.M1.A.5 Putting It All Together

M.M1.A.6 Dividing by x-a and by x+a

M.M1.A.7 Mental Math

M.M1.A.8 The Power of Algebra—Finding Primes

M.M1.A.9 Radicals and Conjugates

M.M1.A.10 The Power of Algebra—Finding Pythagorean Triples

M.M1.A.11 The Special Role of Zero in Factoring

Factoring—Its Use and Its Obstacles

Topic B Honors Achieved!

All skills in Factoring—Its Use and Its Obstacles completed or mastered!

M.M1.B.1 Overcoming Obstacles in Factoring

M.M1.B.2 Mastering Factoring

M.M1.B.3 Graphing Factored Polynomials

M.M1.B.4 Structure in Graphs of Polynomial Functions

M.M1.B.5 Modeling with Polynomials—An Introduction

M.M1.B.6 Modeling with Polynomials—An Introduction

M.M1.B.7 Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?

M.M1.B.8 The Remainder Theorem

M.M1.B.9 Modeling Riverbeds with Polynomials

M.M1.B.10 Modeling Riverbeds with Polynomials

Solving and Applying Equations—Polynomial, Rational, and Radical

Topic C Honors Achieved!

All skills in Solving and Applying Equations—Polynomial, Rational, and Radical completed or mastered!

M.M1.C.1 Equivalent Rational Expressions

M.M1.C.2 Comparing Rational Expressions

M.M1.C.3 Multiplying and Dividing Rational Expressions

M.M1.C.4 Adding and Subtracting Rational Expressions

M.M1.C.5 Solving Rational Equations

M.M1.C.6 Word Problems Leading to Rational Equations

M.M1.C.7 A Focus on Square Roots

M.M1.C.8 Solving Radical Equations

M.M1.C.9 Linear Systems in Three Variables

M.M1.C.10 Systems of Equations

M.M1.C.11 Graphing Systems of Equations

M.M1.C.12 The Definition of a Parabola

M.M1.C.13 Are All Parabolas Congruent?

M.M1.C.14 Are All Parabolas Similar?

A Surprise from Geometry—Complex Numbers Overcome All Obstacles

Topic D Honors Achieved!

All skills in A Surprise from Geometry—Complex Numbers Overcome All Obstacles completed or mastered!

M.M1.D.1 Overcoming a Third Obstacle to Factoring—What If There Are No Real Number Solutions?

M.M1.D.2 A Surprising Boost from Geometry

M.M1.D.3 Complex Numbers as Solutions to Equations

M.M1.D.4 Factoring Extended to the Complex Realm

M.M1.D.5 Obstacles Resolved—A Surprising Result

Module 2

Module 2: Trigonometric Functions

Extend trigonometric ratios to functions defined on the unit circle, graph periodic curves, explore radian measure, and prove trigonometric identities.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

The Story of Trigonometry and Its Contexts

Topic A Honors Achieved!

All skills in The Story of Trigonometry and Its Contexts completed or mastered!

M.M2.A.1 Ferris Wheels—Tracking the Height of a Passenger Car

M.M2.A.2 The Height and Co-Height Functions of a Ferris Wheel

M.M2.A.3 The Motion of the Moon, Sun, and Stars—Motivating Mathematics

M.M2.A.4 From Circle-ometry to Trigonometry

M.M2.A.5 Extending the Domain of Sine and Cosine to All Real Numbers

M.M2.A.6 Why Call It Tangent?

M.M2.A.7 Secant and the Co-Functions

M.M2.A.8 Graphing the Sine and Cosine Functions

M.M2.A.9 Awkward! Who Chose the Number 360, Anyway?

M.M2.A.10 Basic Trigonometric Identities from Graphs

Understanding Trigonometric Functions and Putting Them to Use

Topic B Honors Achieved!

All skills in Understanding Trigonometric Functions and Putting Them to Use completed or mastered!

M.M2.B.1 Transforming the Graph of the Sine Function

M.M2.B.2 Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior

M.M2.B.3 Tides, Sound Waves, and Stock Markets

M.M2.B.4 Graphing the Tangent Function

M.M2.B.5 What Is a Trigonometric Identity?

M.M2.B.6 Proving Trigonometric Identities

M.M2.B.7 Trigonometric Identity Proofs

Module 3

Module 3: Exponential and Logarithmic Functions

Extend exponent rules to rational and irrational exponents, define and apply logarithmic functions, examine natural logarithms and Euler's number e, and model financial growth.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Real Numbers

Topic A Honors Achieved!

All skills in Real Numbers completed or mastered!

M.M3.A.1 Integer Exponents

M.M3.A.2 Base 10 and Scientific Notation

M.M3.A.3 Rational Exponents—What are 2^{\frac{1}{2}} and 2^{\frac{1}{3}}?

M.M3.A.4 Properties of Exponents and Radicals

M.M3.A.5 Irrational Exponents—What are 2^{\sqrt{2}} and 2^{\pi }?

M.M3.A.6 Euler's Number, e

Logarithms

Topic B Honors Achieved!

All skills in Logarithms completed or mastered!

M.M3.B.1 Bacteria and Exponential Growth

M.M3.B.2 The "WhatPower" Function

M.M3.B.3 Logarithms—How Many Digits Do You Need?

M.M3.B.4 Building Logarithmic Tables

M.M3.B.5 The Most Important Property of Logarithms

M.M3.B.6 Properties of Logarithms

M.M3.B.7 Changing the Base

M.M3.B.8 Solving Logarithmic Equations

M.M3.B.9 Why Were Logarithms Developed?

Exponential and Logarithmic Functions and Their Graphs

Topic C Honors Achieved!

All skills in Exponential and Logarithmic Functions and Their Graphs completed or mastered!

M.M3.C.1 Rational and Irrational Numbers

M.M3.C.2 Graphing the Logarithm Function

M.M3.C.3 Graphs of Exponential Functions and Logarithmic Functions

M.M3.C.4 The Inverse Relationship Between Logarithmic and Exponential Functions

M.M3.C.5 Transformations of the Graphs of Logarithmic and Exponential Functions

M.M3.C.6 The Graph of the Natural Logarithm Function

M.M3.C.7 Choosing a Model

Using Logarithms in Modeling Situations

Topic D Honors Achieved!

All skills in Using Logarithms in Modeling Situations completed or mastered!

M.M3.D.1 Bean Counting

M.M3.D.2 Solving Exponential Equations

M.M3.D.3 Geometric Sequences and Exponential Growth and Decay

M.M3.D.4 Percent Rate of Change

M.M3.D.5 Modeling with Exponential Functions

M.M3.D.6 Newton's Law of Cooling, Revisited

Geometric Series and Finance

Topic E Honors Achieved!

All skills in Geometric Series and Finance completed or mastered!

M.M3.E.1 The Mathematics Behind a Structured Savings Plan

M.M3.E.2 Buying a Car

M.M3.E.3 Credit Cards

M.M3.E.4 Buying a House

M.M3.E.5 The Million Dollar Problem

Module 4

Module 4: Inferences and Conclusions from Data

Explore chance experiments, conditional probability with two-way tables, normal distributions and standard deviation, sampling variability, margin of error, and randomized experiments.

Module Mastery

0 / 0 Lessons 0 Mastered (80%+)

Probability

Topic A Honors Achieved!

All skills in Probability completed or mastered!

M.M4.A.1 Chance Experiments, Sample Spaces, and Events

M.M4.A.2 Calculating Probabilities of Events Using Two-Way Tables

M.M4.A.3 Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables

M.M4.A.4 Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables

M.M4.A.5 Events and Venn Diagrams

M.M4.A.6 Probability Rules

M.M4.A.7 Probability Rules

Modeling Data Distributions

Topic B Honors Achieved!

All skills in Modeling Data Distributions completed or mastered!

M.M4.B.1 Distributions—Center, Shape, and Spread

M.M4.B.2 Using a Curve to Model a Data Distribution

M.M4.B.3 Normal Distributions

M.M4.B.4 Normal Distributions

Drawing Conclusions Using Data from a Sample

Topic C Honors Achieved!

All skills in Drawing Conclusions Using Data from a Sample completed or mastered!

M.M4.C.1 Types of Statistical Studies

M.M4.C.2 Using Sample Data to Estimate a Population Characteristic

M.M4.C.3 Sampling Variability in the Sample Proportion

M.M4.C.4 Sampling Variability in the Sample Proportion

M.M4.C.5 Margin of Error When Estimating a Population Proportion

M.M4.C.6 Margin of Error When Estimating a Population Proportion

M.M4.C.7 Sampling Variability in the Sample Mean

M.M4.C.8 Sampling Variability in the Sample Mean

M.M4.C.9 Margin of Error When Estimating a Population Mean

M.M4.C.10 Margin of Error When Estimating a Population Mean

M.M4.C.11 Evaluating Reports Based on Data from a Sample

Drawing Conclusions Using Data from an Experiment

Topic D Honors Achieved!

All skills in Drawing Conclusions Using Data from an Experiment completed or mastered!

M.M4.D.1 Experiments and the Role of Random Assignment

M.M4.D.2 Differences Due to Random Assignment Alone

M.M4.D.3 Ruling Out Chance

M.M4.D.4 Ruling Out Chance

M.M4.D.5 Ruling Out Chance

M.M4.D.6 Drawing a Conclusion from an Experiment

M.M4.D.7 Drawing a Conclusion from an Experiment

M.M4.D.8 Evaluating Reports Based on Data from an Experiment

Module 1

Ela Standards & Skills - Module 1

Comprehensive academic competencies for 11th Grade 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 11th Grade 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 11th Grade 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 11th Grade aligned with national frameworks.

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Module 1

Module 1: Polynomial, Rational, and Radical Relationships

Polynomials—From Base Ten to Base X

Factoring—Its Use and Its Obstacles

Solving and Applying Equations—Polynomial, Rational, and Radical

A Surprise from Geometry—Complex Numbers Overcome All Obstacles

Module 2

Module 2: Trigonometric Functions

The Story of Trigonometry and Its Contexts

Understanding Trigonometric Functions and Putting Them to Use

Module 3

Module 3: Exponential and Logarithmic Functions

Real Numbers

Logarithms

Exponential and Logarithmic Functions and Their Graphs

Using Logarithms in Modeling Situations

Geometric Series and Finance

Module 4

Module 4: Inferences and Conclusions from Data

Probability

Modeling Data Distributions

Drawing Conclusions Using Data from a Sample

Drawing Conclusions Using Data from an Experiment

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)