America: History of Our Nation
History
Start Learning →8th Grade
AI tutoring for 8th graders. Algebra 1, geometry, physical science, and AMC 8 prep — building skills for high school readiness.
Amplify Science (California) Grade 8
Science
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Big Ideas Math, Algebra 1
Math
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Big Ideas Math, Algebra 2
Math
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Big Ideas Math, Course 3
Math
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California myWorld Interactive, Grade 8
History
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Elements of Language, 5th Course
Grammar
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enVision, Mathematics, Grade 8
Math
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History Alive! - The United States Through Industrialism
History
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Illustrative Mathematics, Grade 8
Math
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IMPACT California Social Studies, Grade 8
History
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Pengi Math (Grade 8)
Math
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Pengi Social Studies (Grade 8)
History
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Physical Science (Grade 8)
Science
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Reveal Math, Course 3
Math
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Saxon Math, Course 3
Math
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Vocabulary for the College Bound Student (Grade 8)
Vocabulary
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Vocabulary from Latin and Greek Roots, Level XI
Vocabulary
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Yoshiwara Core Math
Math
Start Learning →8th Grade Skills (1506)
Amplify Science (California) Grade 8
29 chapters, 227 skills
▶
Amplify Science (California) Grade 8
29 chapters, 227 skills
Chapter 1: What Is Energy?
Chapter 2: The Rescue Team’s Energy Needs
Chapter 3: Designing an Energy Solution
Chapter 1: Force and Velocity
Chapter 2: Mass and Velocity
Chapter 3: Collisions
Chapter 4: Science Seminar (Case Study: Movie Stunts)
Chapter 1: Delivering Pods for Emergency Supplies
Chapter 1: Modeling Magnetic Force
Chapter 2: Investigating Potential Energy
Chapter 3: Exploring the Strength of Magnetic Force
Chapter 4: Science Seminar (Case Study: Roller Coasters)
Chapter 1: Changes Caused by Light
- The Australia Skin Cancer Mystery
- The Australia Skin Cancer Mystery
- Light Causes Physical Change
- Changes Reveal Energy (The Evidence)
- Absorption is Energy Capture
- Light Causes Physical Change
- Quantifying Light Energy
- Absorption Causes Alteration
- Cumulative Energy and Correlation
- Light Transfers Energy (The Mechanism)
Chapter 2: Light as a Wave
Chapter 3: More Light Interactions
- Composition Determines Filtering
- Increased Transmission leads to Increased Risk
- The Mechanism of the Ozone Hole
- Ozone Selectively Absorbs Ultraviolet Light
- Non-Absorbed Light Transfers No Energy
- Specific Interaction: Ozone and UV Light
- The Atmosphere acts as a Filter
- The Three Fates of Light
- The Consequence of the Ozone Hole
Chapter 4: Science Seminar (Case Study: Crab Vision)
Chapter 1: Light and Dark on the Moon
Chapter 2: Moon Phases
Chapter 3: Lunar Eclipses
Chapter 4: Science Seminar (Case Study: Kepler-47c)
Chapter 1: Environmental Change and Trait Distribution
Chapter 2: Natural Selection and Reproduction
Chapter 3: Mutation and Adaptive Traits
Chapter 4: Science Seminar (Case Study: Stickleback Evolution)
Chapter 1: Fighting Drug-Resistant Malaria
- The Iterative Design Cycle
- Controlling Variables in Design
- Drugs as Selection Pressure
- Optimization and Trade-offs
- Constructing an Evidence-Based Proposal
- Applying Natural Selection to New Problems
- The Iterative Design Cycle
- Applying Natural Selection to New Problems
- Constructing an Evidence-Based Proposal
- Drugs as Selection Pressure
- Controlling Variables in Design
- Defining the Malaria Engineering Challenge
- Optimization and Trade-offs
- Monotherapy vs. Combination Therapy
- Defining the Malaria Engineering Challenge
- Monotherapy vs. Combination Therapy
Chapter 1: Finding Species Similarities
Chapter 2: Investigating Body Structure Differences
Chapter 3: Identifying Related Species
Chapter 4: Science Seminar (Case Study: The Tometti Fossil)
Big Ideas Math, Algebra 2
8 chapters, 95 skills
▶
Big Ideas Math, Algebra 2
8 chapters, 95 skills
Chapter 1: Linear Functions
- Horizontal and Vertical Translations
- Elimination Method for 3x3 Systems
- Vertical Stretches and Shrinks of Functions
- Making Predictions Using a Line of Fit: Interpolation vs. Extrapolation
- Reflection Across Y-Axis
- Types of Function Transformations
- Calculator Linear Regression Procedures
- Core Parent Functions
- Reflection Across X-Axis: y = -f(x)
- Horizontal Stretches and Shrinks: f(ax)
- Transformations of Absolute Value Functions
- Correlation Coefficient Interpretation
Chapter 2: Quadratic Functions
- Standard Form Equations for Parabolas at Origin
- Combined Transformations in Vertex Form
- Vertical Stretches and Compressions: f(x) = ax^2
- Horizontal Dilations of Quadratic Functions
- Reflections Across the Y-Axis: f(-x)
- Reflections Across x-axis: f(x) = -a(x - h)² + k
- Graphing Quadratic Functions in Intercept Form
- Analyzing Key Features of Quadratic Functions
- Derive Parabola Equations Using Distance Formula
- Identify Parabola Orientation from Standard Form
- Finding Quadratic Equations Using Intercept Form
Chapter 3: Quadratic Equations and Complex Numbers
- Graphing Quadratic Inequalities - Boundary Curves and Test Points
- Solving Quadratic Equations by Graphing
- Step-by-Step Derivation of the Quadratic Formula
- Choosing the Best Method to Solve Quadratic Equations
- Special Cases: Quadratic Inequalities with All Real Numbers or No Solution
- Converting to Vertex Form by Completing the Square
- Equality of Complex Numbers
- Boundary Line Types for Quadratic Inequalities
- Graphing Two-Variable Quadratic Inequalities
Chapter 4: Polynomial Functions
- Rational Root Theorem
- Reflection of Polynomial Functions Over Y-Axis
- Using Finite Differences to Determine Polynomial Degree
- Special Product Patterns
- Local Maximum and Minimum Values at Turning Points
- Location Principle for Finding Real Zeros
- Fundamental Theorem of Algebra
- Multiplying Three Binomials
- Pascal's Triangle for Binomial Powers
- Irrational Conjugates Theorem
- Descartes Rule of Signs
- End Behavior and Graph Sketching
- Writing Polynomial Functions from Given Zeros
- Reflection of Polynomial Functions Over X-Axis
- Horizontal Stretch and Shrink of Polynomial Functions
- Even and Odd Function Symmetry
- Writing Cubic Functions in Factored Form
- Finite Differences for Polynomial Degree
- Using Synthetic Division to Verify Factors
- Using polynomial functions as models
Chapter 5: Rational Exponents and Radical Functions
- Parent Square Root Function
- Solving Equations with Rational Exponents
- Simplifying nth Root Radicals and Combining Like Radicals
- Domain Restrictions for Inverse Functions
- Domain Restrictions in Radical Inequalities
- Parent Cube Root Function
- Graphing Parabolas and Circles with Radical Functions
- Transformations of Radical Functions
Chapter 6: Exponential and Logarithmic Functions
- Horizontal Stretch and Shrink Transformations
- Exponential Model Prediction and Comparison
- Vertical Translations of Exponential and Logarithmic Functions
- Vertical Stretch/Shrink of Exponential and Logarithmic Functions
- Solving Logarithmic Equations by Converting to Exponential Form
- Graphing Natural Exponential Functions
- Deriving Logarithm Properties from Exponential Properties
- Natural Base Growth and Decay Functions
- Compound Interest as Exponential Growth
- Special Exponential Functions
- Reflections of Exponential and Logarithmic Functions
- Horizontal Translations of Exponential and Logarithmic Functions
- Solving Exponential and Logarithmic Inequalities
Chapter 7: Rational Functions
- Finding and Verifying Inverses of Rational Functions
- Closure Properties of Rational Expressions
- Rational Equations Leading to Quadratic Equations
- Parent Function f(x) = 1/x and Its Asymptotes
- Polynomial Long Division for Rational Functions
- Translations of Rational Functions and Shifted Asymptotes
- Graphing Rational Functions Step-by-Step
- Transformations of the Parent Function f(x) = 1/x
- General Linear Rational Functions and Asymptote Formulas
- Finding LCM of Polynomial Expressions
Chapter 8: Sequences and Series
- Finding Geometric Sequences Using Non-Consecutive Terms
- Converting Recursive Rules to Explicit Rules
- Converting Repeating Decimals to Fractions Using Infinite Geometric Series
- Writing Recursive Rules for Arithmetic Sequences
- Special Summation Formulas
- Finding Arithmetic Sequence Rules from Two Terms
- Writing Recursive Rules for Geometric Sequences
- Converting Explicit Rules to Recursive Rules
- Finding the First Term of an Arithmetic Sequence
- Geometric Sequences as Exponential Functions
- Recursive Rules and Equations
- Converting Repeating Decimals to Geometric Series
Big Ideas Math, Course 3
10 chapters, 41 skills
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Big Ideas Math, Course 3
10 chapters, 41 skills
Chapter 1: Equations
Chapter 2: Transformations
Chapter 3: Angles and Triangles
Chapter 4: Graphing and Writing Linear Equations
- The Key to Comparison: Slope-Intercept Form
- Writing an Equation in Point-Slope Form from a Slope and a Point
- Writing an Equation from the y-intercept and Another Point
- Writing and Graphing Proportional Equations
- Strategy: Choosing a Method for Graphing Standard Form
- Proving Constant Slope Using Similar Triangles
Chapter 5: Systems of Linear Equations
Chapter 6: Functions
Chapter 7: Real Numbers and the Pythagorean Theorem
Chapter 8: Volume and Similar Solids
Chapter 9: Data Analysis and Displays
Chapter 10: Exponents and Scientific Notation
California myWorld Interactive, Grade 8
9 chapters, 93 skills
▶
California myWorld Interactive, Grade 8
9 chapters, 93 skills
Chapter 1: The Revolutionary Era (1750–1783)
Chapter 2: A Constitution for the United States (1776–Present)
- The Framers Create a Process for Amending the Constitution
- States Define Rights with Constitutions
- The Nineteenth Amendment Grants Women Suffrage
- The Constitution Divides Government Power
- The Preamble States the Constitution's Goals
- Founders Debate the Power of the People
- Delegates Compromise on Commerce and Slavery
- The Bill of Rights Secures Individual Liberties
- States Govern Local Communities
- Immigrants Become U.S. Citizens
Chapter 3: The Early Republic (1789–1825)
- Federalists Restrict Speech and States Push Back
- Jefferson Doubles the Nation's Size
- The U.S. Fights Britain on Land and Sea
- Hamilton Tackles the National Debt
- Founders Oppose Political Parties
- National Unity Hides Regional Conflict
- Newspapers Fuel Party Rivalries
- The United States Faces Challenges at Sea
- Washington Steers a Neutral Course
- Lewis and Clark Chart the Louisiana Territory
- Adams Avoids War with France
- The Star-Spangled Banner and National Identity
Chapter 4: The Age of Jackson and Westward Expansion (1824–1860)
- Spanish Rule Creates the Vaquero
- War with Mexico Expands U.S. Borders
- Pioneers Shape American Identity
- Parties Adopt National Nominating Conventions
- Westward Expansion Creates Frontier Conflict
- Settlers Build a New Society in the West
- Jacksonian Democracy Redefines the Presidency
- Americans Seek Opportunity in the West
Chapter 5: Society and Culture Before the Civil War (1820–1860)
- Innovators Launch the Factory System
- Factories Change American Society
- Hardship and Opportunity Fueled Immigration
- Abolitionists Use Words and Actions to Fight Slavery
- Immigration Fuels Social Tensions
- Abolitionists Lead the Fight for Freedom
- Reformers Address Societal Ills
- Writers Tell American Stories
- A New Spirit Inspires an Era of Reform
- Inventions Create a National Market
- Americans Create a New Sound
- New Transportation Networks Fuel Industrialization
Chapter 6: Sectionalism and Civil War (1820–1865)
- A New Party Opposes Slavery's Spread
- North and South Draft War Plans
- The Union Prevails at a Great Cost
- Hardship and Dissent Grip the Home Front
- A Divided Nation Elects Lincoln
- The Union Halts Lee's Invasion at Antietam
- A Novel Changes Northern Minds
- The War Becomes a Fight for Freedom
- Soldiers Face Brutal Wartime Realities
- Westward Expansion Reignites Slavery Debate
- Leaders Clash Over the Meaning of the Union
- Leaders Clash Over the Union's Meaning
- The Union and Confederacy Define War Aims
- The Union Finds Success in the West
Chapter 7: The Reconstruction Era (1865–1877)
Chapter 8: Industrial and Economic Growth (1865–1914)
- The Mining Frontier Sparks Conflict and Damage
- Bankers Finance Big Business
- Invention Fuels Steel Industry
- The U.S. Government Breaks Treaties
- Railroad Corporations Gain Power
- Mining Discoveries Create Western Boomtowns
- The U.S. Destroys the Plains Indian Way of Life
- Americans Debate Big Business
- Inventions Change Work and Home
- New Inventions Connect the Nation
- The Airplane Takes Flight
- Factories Created Harsh Conditions for Workers
- The Government Challenges Trusts
- Owners and Courts Crush Union Power
- The Haymarket Riot Damages Labor's Reputation
- Edison Develops Electric Power
- Workers Organize into Different Unions
- Railroads Trigger an Economic Crisis
- Farmers and Government Confront Hardship
Chapter 9: The Progressive Era (1865–1920)
- Progressives Reform the Political System
- Women Lead the Temperance Movement
- Progressives Empower Voters with New Reforms
- Americans Find New Ways to Have Fun
- Wilson Reforms the Nation's Economy
- Roosevelt Challenges Unfair Trusts
- Taft's Policies Divide Progressives
- Leaders Debate Strategies for Equality
- Women Organize for Suffrage and Reform
- Schools Train a New Generation
- Reformers Tackle City Problems
- Minority Groups Organize Against Prejudice
enVision, Mathematics, Grade 8
7 chapters, 28 skills
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enVision, Mathematics, Grade 8
7 chapters, 28 skills
Chapter 1: Real Numbers
- Converting Repeating Decimals to Fractions
- Roots of Perfect Squares and Cubes
- Converting Mixed Repeating Decimals to Fractions
- What is a Cube Root?
- Estimating Quantities with a Single Digit
- Comparing Negative Numbers
- Deriving Negative Exponents from Patterns
- Distinguishing Decimal Patterns
- Interpret Calculator 'E' Notation
Chapter 2: Analyze and Solve Linear Equations
Chapter 3: Use Functions to Model Relationships
Chapter 4: Investigate Bivariate Data
Chapter 6: Congruence and Similarity
Chapter 7: Understand and Apply the Pythagorean Theorem
Chapter 8: Solve Problems Involving Surface Area and Volume
History Alive! - The United States Through Industrialism
9 chapters, 145 skills
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History Alive! - The United States Through Industrialism
9 chapters, 145 skills
Chapter 1: Our Colonial Heritage
- Peoples Adapt to New Environments
- Archaeologists Uncover Ancient History
- Early Encounters: The Spanish Conquest of the Caribbean
- Comparing Regions: Religious Diversity and Toleration
- The First Americans: Migration from Asia
- Jamestown: The House of Burgesses and Self-Government
- The Great Awakening Transforms Religious Life
- Founding of Pennsylvania: A 'Holy Experiment'
- The Institution of Chattel Slavery
- Southern Colonies: The Shift to a Slavery-Based Economy
- Influence from Colonial Experience: Self-Government
- The Search for a Northwest Passage and New Colonies
- American Indians View Land as a Shared Resource
- Primary Motivations for European Exploration
- An Overview of Colonial Society
- The Enlightenment Inspires Ideas of Natural Rights
- Adapting to the Land: North American Cultural Regions
- 1492: Columbus's Voyage and the 'New World'
- Motivation for Colonization: Religion and Self-Government in New England
- The Spanish Conquest of the Americas
Chapter 2: Revolution in the Colonies
- The Olive Branch Petition: A Final Attempt at Reconciliation
- The Shot Heard 'Round the World: Lexington and Concord
- King George's Rejection: Pushing the Colonies Toward Independence
- Early Defeats: The Continental Army on the Brink (1776)
- After the War: Britain Tightens Control
- The Intolerable Acts: Britain's Punishment Unites the Colonies
- The Start of the War: Lexington and Concord
- Securing Independence: The Treaty of Paris (1783)
- The Boston Tea Party: A Dramatic Act of Defiance
- Turning Point: The Victory at Saratoga and the French Alliance (1777)
- The Declaration of Independence: Justifying the Break
- The Stamp Act Crisis: "No Taxation Without Representation"
- Resilience and Training: Surviving the Winter at Valley Forge (1777-1778)
- The Final Battle: Victory at Yorktown (1781)
- Shift in Public Opinion: Thomas Paine's Common Sense
Chapter 3: Forming a New Nation
- The States Ratify the Bill of Rights
- Framers Design a Flexible Constitution
- The People Grant Government Power
- The Bill of Rights: A Response to Colonial Grievances
- The Compromise: A Bill of Rights is Promised
- Amendments Protect the Rights of the Accused
- The Three-Fifths Compromise: An Unsettling Agreement on Slavery
- Setting the Stage for a New Constitution
- Founders Divide Governmental Power
- The Court Interprets American Freedoms
- Federalists vs. Anti-Federalists: The Great Debate
- Applying the Constitution: The First Congress Begins Its Work
- Shays's Rebellion Exposes Government Weakness
- The Great Compromise: Balancing State Power
- The Constitution Divides Government Power
Chapter 4: Launching the New Republic
- The War of 1812: A Test of National Honor
- Landmark Cases: McCulloch v. Maryland and Gibbons v. Ogden
- Judicial Nationalism: The Marshall Court
- Britain Seizes American Sailors
- The Nullification Crisis and Federal Power
- The Bank War and Popular Support
- The Monroe Doctrine: A New Role in the Americas
- Washington's Farewell Address: A Warning Against Foreign Entanglements
- The Significance of the Election of 1800
- Jefferson's Presidency: A New Philosophy of Government
- Economic Nationalism: The American System
- The War of 1812 and the Era of Good Feelings
- Causes of the War: Tecumseh's Resistance
- The Whiskey Rebellion Tests Federal Authority
- The Federalists Pass the Alien and Sedition Acts
- The Spoils System and Executive Control
- The Rise of Jacksonian Democracy
- Hamilton Secures the National Bank
- Indian Removal and the Trail of Tears
- Cultural Nationalism: A New American Identity
Chapter 5: An Expanding Nation
- Mountain Men: Trapping and Trailblazing
- Causes of the U.S.-Mexican War: The Border Dispute
- Mexicanos Mastered the Arid Land
- The California Gold Rush and the Push for Statehood
- Introduction to Manifest Destiny
- Expansion by Purchase: The Louisiana Territory
- Explorers: The Lewis and Clark Expedition
- Consequences of War: The Mexican Cession
- Mexican Law Shapes the American West
- Expansion by Annexation and Treaty: Texas and Oregon
- Mormon Migration: Seeking Refuge in Utah
- Mexican Culture in the Southwest: The Vaquero Tradition
- Setting the Stage: The Treaty of Guadalupe Hidalgo (1848)
- Three Eras of Early California
- Settlers Adopt Mexicano Ways
Chapter 6: Americans in the Mid-1800s
- The Cotton Gin and the Expansion of Slavery
- The Northern Economy: Factories and Immigrant Labor
- The Abolitionist Crusade Against Slavery
- Slaveholders Built a System of Control
- King Cotton and the Southern Social Structure
- Overview: The North and South Develop Diverging Economies
- Resistance: The Underground Railroad
- Institutional Reform: Dorothea Dix and Mental Health Care
- How the Cotton Gin Revived Slavery
- Early Railroads and Regional Alliances
- Seneca Falls and the Declaration of Sentiments
- Racism Defines African American Life
- Geography Shapes Regional Economies
- Origins of Reform: The Second Great Awakening
- Radical Reform: Utopian Communities
Chapter 7: The Union Challenged
- Turning Point: Antietam and the Emancipation Proclamation
- The Reversal: Jim Crow and Segregation
- The High-Water Mark: The Battle of Gettysburg
- The Breaking Point: John Brown and the Election of 1860
- Union Strategy: The Anaconda Plan
- Introduction: The Conflict Over Reconstruction
- Congress Legislates for Citizenship and Rights
- Sectionalism and the Missouri Compromise
- Conclusion: The Mixed Legacy of Reconstruction
- Aiding the Freedmen: The Freedmen's Bureau
- The Dred Scott Decision Deepens the Divide
- Grant's Strategy of "Total War"
- The First Battle of Bull Run: A Reality Check
- The Attack on Fort Sumter Begins the Civil War
- The Kansas-Nebraska Act and 'Bleeding Kansas'
Chapter 8: Migration and Industry
- The Journey and Arrival: Ellis and Angel Islands
- The Second Industrial Revolution Begins
- The Rise of Nativism: Fear and Reaction to Immigrants
- Industrial Empires: Carnegie and Rockefeller
- Building the Lines: A Race of Labor
- Ending the 'Great Wave': The National Origins Acts
- The Plains Buffalo Culture Under Threat
- Workers Organize: The Rise of Labor Unions
- The "New Immigrants": Changing Demographics
- Reaction to Immigration: Nativism and the Chinese Exclusion Act
- Mining Booms and the Rise of Boomtowns
- The Homestead Act Brought Settlers West
- New Business Structures: Corporations and Trusts
- The Social Costs: Working Conditions and Inequality
- Conflict and Resistance: The Plains Wars
Chapter 9: A Modern Nation Emerges
- The Spanish-American War: A Turning Point
- Mass Media Creates a National Culture
- Reforming Government: The 'Wisconsin Idea' and Voter Power
- The Problem: Social Darwinism and the Wealth Gap
- From Isolationism to Imperialism
- From Neutrality to War: The U.S. in World War I
- The "Square Deal": Roosevelt's National Reforms
- Protecting the Public: Upton Sinclair's 'The Jungle'
- Mexican Americans Organize for Civil Rights
- The Failed Peace and Return to Isolationism
- Social Change: The Women's Rights Movement
- Roosevelt's 'Big Stick' Diplomacy and the Panama Canal
- The Automobile Revolution: Ford and the Assembly Line
- Social Change: The Civil Rights Movement for African Americans
- The Catalyst: Muckrakers and the Call for Reform
Illustrative Mathematics, Grade 8
8 chapters, 23 skills
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Illustrative Mathematics, Grade 8
8 chapters, 23 skills
Chapter 1: Rigid Transformations and Congruence
Chapter 2: Dilations, Similarity, and Introducing Slope
Chapter 3: Linear Relationships
Chapter 4: Linear Equations and Linear Systems
Chapter 5: Functions and Volume
Chapter 6: Associations in Data
Chapter 7: Exponents and Scientific Notation
Chapter 8: Pythagorean Theorem and Irrational Numbers
IMPACT California Social Studies, Grade 8
19 chapters, 253 skills
▶
IMPACT California Social Studies, Grade 8
19 chapters, 253 skills
Chapter 1: Changing Ideas and a Changing World
- Spain Organizes Its American Empire
- Rulers Compete for Power and Trade
- Ancient Ideas Shape Government
- Religious Rivalry Reaches the Americas
- Influence from England: Limited Government
- Europeans Fund Global Trade
- Individuals Invest for Private Profit
- Thinkers Divide Power to Protect Liberty
- Voyages Spark a Global Exchange
- The Crusades Spark Demand for Asian Goods
- Europeans Build a System of Forced Labor
- Rulers Control Trade for Power
- The Renaissance Fosters a Spirit of Inquiry
- France and the Netherlands Build Trading Colonies
- Rivals Divide and Explore the New World
- Thinkers Define the Social Contract
Chapter 2: Colonial America
- Geography Shapes Colonial Economies
- Maryland Balances Religious Tensions
- Proprietary Colonies Become Royal Colonies
- England's First Colony Disappears
- England Takes Over New Netherland
- Frontier Settlers Challenge Virginia's Government
- Wampanoag Help Colonists Survive
- Merchants Build a Transatlantic Trade Network
- Jamestown Overcomes Hardship
- Dissenters Expand New England
- Competition for Land Leads to War
- Geography Fuels Colonial Prosperity
- The Duke of York Creates New Jersey
- Colonists Build Self-Government
- England Seeks Power and Profit in America
- Pilgrims Establish a Self-Governing Colony
- Pennsylvania's Lower Counties Form Delaware
- The Virginia Company Establishes Jamestown
- Geography Shapes the Carolina Economy
Chapter 3: The Spirit of Independence
- Escalating Conflict: The Battle of Bunker Hill
- Causes of Conflict: Imperial Rivalry in North America
- Colonists Force a British Retreat
- British Troops Spark Violence in Boston
- Colonists Prepare for War
- The First Continental Congress: Colonies Unite
- Consequences of War: The Treaty of Paris (1763)
- Colonists Choose Sides
- Forming Alliances: Native Americans and European Powers
- The Course of the War: Britain's Path to Victory
- Britain's Post-War Policies: Land and Taxes
- Escalating Tensions: The Boston Massacre
- The Second Continental Congress: War and Peace
Chapter 4: The American Revolution
- Colonists Divide Over Independence
- Patriots Face British Might
- Washington Revives the Patriot Cause
- Patriots Win Independence and Spark Global Change
- The Fight for Liberty Sparks Change at Home
- European Officers Strengthen the Continental Army
- War Spreads to the Western Frontier
- British Miscalculate Southern Support
- Spain Aids the American Cause
- Patriots Use Guerrilla Tactics
- Leaders Shift Strategy to Trap the British
- Patriots Take the War to the Seas
- Americans Secure Foreign Alliances
- Congress Funds the War with Paper Money
- Patriots Struggle to Build an Army
- Washington Prevents a Military Revolt
- Turning Point: The Victory at Saratoga
Chapter 5: A More Perfect Union
- Failures of the Confederation: Economic and Foreign Problems
- The Convention Confronts Slavery
- The Articles of Confederation: A Weak National Government
- Context for a Weak Government: State Constitutions
- Founders Draw on History and Philosophy
- Slavery Divides the New Nation
- Government Policy: Organizing Western Lands
Chapter 6: The Constitution
Chapter 7: The Federalist Era
- The U.S. Steers a Neutral Course
- The Election of 1796: A Partisan Outcome
- The U.S. Secures the Northwest Territory
- Washington Establishes Presidential Precedents
- Washington Secures the Nation's Borders
- Cabinet Rivals Create Political Parties
- States Question Federal Authority
- Washington Builds the Federal Government
- Hamilton Tackles the Nation's Debt
- The XYZ Affair Fuels Party Conflict
- Parties Define Government's Power
- Asserting Federal Authority: The Whiskey Rebellion
Chapter 8: The Jefferson Era
Chapter 9: Growth and Expansion
- Americans Build Canals to Link Waterways
- Steamboats Conquer the Rivers
- Factories Centralize Production
- Free Enterprise Fuels Industrial Growth
- Pioneers Forge Paths West
- Introduction: The Shift to Factory Production
- The Nation Forges Unity After War
- Americans Build New Roads West
- Settlers Create Western Communities
- Factories Create Crowded Cities
Chapter 10: The Jackson Era
- Jackson's Bank Policies and the Panic of 1837
- Cherokee Resistance and Jackson's Defiance
- Causes of Conflict: The Indian Removal Act
- The 1824 Election and the "Corrupt Bargain"
- Seminoles Resist Removal with Force
- Removed Tribes Face New Challenges
- New Political Parties and Campaign Tactics
- The Whig Response and the Election of 1840
Chapter 11: Manifest Destiny
- Americans Justify Westward Expansion
- Causes of the Texas Revolution
- The U.S. Annexes the Republic of Texas
- Congress Balances Slave and Free States
- The Texas Revolution and the Lone Star Republic
- Consequences of Expansion: California Statehood and Land Laws
- New Lands Reignite the Slavery Debate
- Traders Forge the Santa Fe Trail
- Planters Shape Florida's Identity
- Pioneers Travel the Oregon Trail
- Mormons Transform the Utah Desert
- Prospectors Build a Rough Society
- Polk Secures the Oregon Territory
- Americans Target California for Expansion
- Nations Compete for Oregon
Chapter 12: North and South
- Morse's Telegraph Connects the Nation
- Cotton's Growth Fuels a Domestic Slave Trade
- Resistance to Slavery
- Plantations Drive the Southern Economy
- The South Remains Rural
- Industrial Workers Organize
- The Transportation Revolution Connects East and West
- Life and Culture Under Slavery
- Limited Railroads Slow Southern Growth
- The Southern Social Hierarchy
- Factories Reshape Northern Work
- Cotton Replaces Colonial Crops
- New Inventions Open the West
- Women and African Americans Confront Inequality
- Railroads Link the Northeast and the Old Northwest
- New Inventions Introduce Deadly Risks
- King Cotton and the Agrarian South
- Industrialization Changes Work
Chapter 13: The Spirit of Reform
- Women Secure Property and Legal Rights
- Black Leaders Champion Abolition
- Women Pursue Education and Careers
- Reformers Challenge Alcohol's Influence
- Widespread Opposition to Abolitionism
- Radical Abolitionism: The Demand for Immediate Emancipation
- Reformers Expand Access to Education
- Early Abolitionism: Gradualism and Colonization
- Transcendentalism and the Hudson River School
- From Abolitionism to Women's Rights
Chapter 14: Toward Civil War
- Lincoln's Election Prompts Southern Secession
- The Compromise of 1850 and the Fugitive Slave Act
- New Lands Reignite the Slavery Debate
- The Lincoln-Douglas Debates and the Rise of Lincoln
- Southern States Justify Secession
- Northerners Defy a New Slavery Law
- Political Realignment: The Rise of the Republican Party
- An Election Divides the Nation
- Compromise Fails to Stop Secession
- John Brown's Raid on Harpers Ferry
- Southern States Secede and Form the Confederacy
Chapter 15: The Civil War
- Women Assume New Wartime Roles
- The Union Unleashes Total War
- The Union's Victory Reshapes the Nation
- The Gettysburg Address: Redefining the War's Purpose
- War Strains the Home Front
- Naval Innovation: The Clash of the Ironclads
- Union Secures the Border States
- Confederate Generals Dominate the East
- Civilians Endure Wartime Hardships
- Soldiers Confront War's Harsh Reality
- Union Victories Secure Lincoln's Reelection
- Soldiers Suffer in Camps and Hospitals
- Lincoln Defines the Union's Goal
- Lincoln Searches for a General
- Each Side Wielded Unique Advantages
- Lee Surrenders to Grant
- Turning Point: The Battles of Gettysburg and Vicksburg
- Union Armies Target East and West
- African American Soldiers Fight for Freedom
Chapter 16: The Reconstruction Era
- Leaders Promote a "New South" Economy
- Disenfranchisement in the Post-Reconstruction South
- African Americans Seek New Paths
- Freedpeople Build Schools and Colleges
- Lincoln Offers a Path to Reunion
- Johnson's Presidency and the Break with Congress
- The First Debate: Lincoln's Plan vs. the Wade-Davis Bill
- Southern Defiance: The Black Codes
- A Political Compromise Ends Reconstruction
- White Southerners Resist Reconstruction
- Sharecropping Traps Freedpeople in Debt
- A New Coalition Governs the South
- Military Rule and the Impeachment of Johnson
- Republicans Secure Suffrage for Black Men
- African Americans Shape Southern Politics
Chapter 17: Opening the West
- Fences and Freezes End the Cattle Kingdom
- Government Subsidies and the Transcontinental Railroad
- The 1896 Election Tests Populist Power
- Ranchers Build the Cattle Kingdom
- Broken Treaties and the Reservation System
- Forced Assimilation and Cultural Destruction
- Boomtowns Shape Western Society
- Farmers Face Economic Hardship
- Sodbusters Adapted to Plains Life
- The Plains Buffalo Culture Under Threat
- Railroads Transform the Nation
- Farmers Organize for Power
- The Plains Wars Raged Across the West
- Populists Demand Government Action
- Populist Ideas Outlive the Party
Chapter 18: The Industrial Age
- Strategies for Monopoly: Vertical and Horizontal Integration
- Inventions Connect the Nation
- The U.S. Gains an Overseas Empire
- Women in the Labor Movement and the Triangle Factory Fire
- Corporations Sell Stock to Grow
- New Technology Unites the Rails
- America Reaches Across the Pacific
- Edison and Westinghouse Power a Nation
- Railroads Reshape the Nation
- America Gathers Resources for Industry
- Railroad Barons Build Empires
- Violent Strikes and Government Opposition
- Railroads Control Competition
- African American Inventors Advance Key Industries
Chapter 19: A Changing Society
- Gilded Age Corruption and Early Civil Service Reform
- Minorities Organize for Civil Rights
- Causes of Urbanization: Factories, Railroads, and Migration
- Early Government Regulation of Big Business
- Problems of Urbanization: Sanitation, Disease, and Crime
- Artists Forge a Unique American Culture
- Americans Expand Access to Education
- Technology Transforms Urban Life
- Minorities Confront Discrimination
- A Divided Party Elects Wilson
- Newspapers and Novels Reach the Masses
- Progressive Presidents Tackle Reform
- Progressives Expand Democracy
- Americans Develop Mass Entertainment
- Social Stratification in the Gilded Age City
- Urban Reform: The Settlement House Movement
- Building New Lives: Immigrant Adaptation and Communities
- Women Win the Right to Vote
- Push and Pull Factors of the New Immigration
Pengi Math (Grade 8)
4 chapters, 12 skills
▶
Pengi Math (Grade 8)
4 chapters, 12 skills
Chapter 1: The Real Number System
Chapter 3: Solving Linear Equations
Chapter 5: Functions
Chapter 8: Data Analysis and Displays
Pengi Social Studies (Grade 8)
9 chapters, 93 skills
▶
Pengi Social Studies (Grade 8)
9 chapters, 93 skills
Chapter 1: The Revolutionary Era (1750–1783)
- The Turning Point at Saratoga
- Taxation and Constitutional Arguments
- The Economic Origins of Slavery
- Strategies of War
- The Final Trap at Yorktown
- John Locke and the Intellectual Foundation
- Geography as a Source of Conflict
- The End of Salutary Neglect
- Thomas Paine's "Common Sense"
- Deconstructing the Declaration of Independence
Chapter 2: The Constitution and the Foundation of Government (1783–1791)
- Success in the West: The Northwest Ordinance
- A Living Document
- Compromises on Trade and Slavery
- A Government Without Power
- Shays' Rebellion Exposes Weakness
- Origins of the Bill of Rights
- Separation of Powers and Checks and Balances
- The Three-Fifths Compromise
- The Great Compromise
- Understanding Federalism
- The Federalist Papers and Factions
- Anti-Federalists Demand Rights
Chapter 3: The Early Republic (1789–1828)
- The Star-Spangled Banner and National Identity
- The Monroe Doctrine
- Hamilton's Financial Plan
- The Lewis and Clark Expedition
- Causes of the War: Impressment and Nationalism
- The Rise of Political Parties
- Washington's Farewell Address
- The Louisiana Purchase: A Constitutional Dilemma
- The Election of 1800 and the Peaceful Transfer
Chapter 4: The Age of Jackson and Westward Expansion (1828–1850)
- The Supreme Court and Cherokee Sovereignty
- Analyzing "American Progress"
- The Indian Removal Act
- Conflict on the Rio Grande
- The Spoils System
- Statehood and the National Crisis
- Discrimination in the Gold Fields
- The Nullification Crisis
- The Trail of Tears
- The Mexican Cession
- The Rise of the Common Man
- Three Eras of Early California
Chapter 5: Society, Reform, and Sectionalism (1820–1860)
- The Industrial Revolution in the North
- William Lloyd Garrison and "The Liberator"
- The Cotton Gin and "King Cotton"
- Frederick Douglass and Political Advocacy
- The Danger of the Fugitive Slave Act
- The Seneca Falls Convention
- Direct Action: The Underground Railroad
- Reforming Education and Society
- Diverging Societies
- The Second Great Awakening
Chapter 6: The Civil War (1850–1865)
- The Election of 1860 and Secession
- Surrender at Appomattox
- Antietam and the Purpose of the War
- The Gettysburg Address
- Gettysburg: The High Water Mark
- Resources vs. Leadership
- The Anaconda Plan
- Sherman's March and Total War
- The Rise of Lincoln and the Republican Party
- The Dred Scott Decision
- African Americans Join the Fight
- Vicksburg: Control of the River
- Women and the War Effort
- The Failure of Compromise
Chapter 7: Reconstruction (1865–1877)
Chapter 8: Industrialization and the Changing West (1870–1900)
- Angel Island: The Asian Immigrant Experience
- The American Federation of Labor (AFL)
- The Populist Party Platform
- Nativism and the Chinese Exclusion Act
- The Haymarket Riot
- Rockefeller and Horizontal Integration
- The Power of the Railroads
- The Legacy of Populism
- Ellis Island: The European Immigrant Experience
- Carnegie and Vertical Integration
Chapter 9: The Progressive Era and America as a World Power (1890–1917)
Reveal Math, Course 3
11 chapters, 57 skills
▶
Reveal Math, Course 3
11 chapters, 57 skills
Module 1: Exponents and Scientific Notation
Module 2: Real Numbers
Module 3: Solve Equations with Variables on Each Side
Module 4: Linear Relationships and Slope
Module 5: Functions
- Common Trap: Vertical vs. Horizontal Lines
- Classifying Constant Functions as Linear
- Distinguishing Piecewise Segments from Global Linearity
- Writing a Function from Verbal Descriptions
- What is a Qualitative Graph?
- Interpreting Function Outputs in Context
- Finding and Comparing Initial Values (y-intercept)
- The Intersection: Where Two Functions Are Equal
- Verifying, Interpolating, and Extrapolating
Module 6: Systems of Linear Equations
Module 7: Triangles and the Pythagorean Theorem
- The Five-Step Geometric Proof Process
- Using Pythagorean Triples as a Shortcut
- Using the Pythagorean Theorem to Find Distance
- Anatomy of a Triangle: Vertices, Sides, and Angles
- Using Algebra to Find Missing Angle Measures
- Definition: Angle Pairs Formed by a Transversal
- Applying the Converse in Real-World Contexts
Module 8: Transformations
Module 9: Congruence and Similarity
Module 10: Volume
Module 11: Scatter Plots and Two-Way Tables
- Calculating and Interpreting Relative Frequencies
- Identifying and Measuring Associations
- Handling Outliers When Drawing a Line of Fit
- Identifying Clusters and Outliers in Scatter Plots
- Making Predictions: The Danger of Extrapolation
- Verifying Two-Way Table Consistency
- Common Errors: Raw Counts and Denominators
- Bivariate Data and Constructing Scatter Plots
- Interpreting Context and Association vs. Causation
Saxon Math, Course 3
7 chapters, 342 skills
▶
Saxon Math, Course 3
7 chapters, 342 skills
Chapter 1: Number & Operations • Measurement
- Improper Fractions and Mixed Numbers
- Commutative Property
- Prime numbers
- Divisibility Tests
- Separating
- Reduce a Fraction
- Prime factorization
- Combining
- Formulas for the Perimeter and Area of a Rectangle
- Symbols for Multiplication and Division
- Rational Numbers
- Composite numbers
- Prime Numbers
- Applying Math: Perimeter and Area
- What is Perimeter?
- Associative Property
- Converting Measures
- Rational Numbers: The Foundation of Math
- Measures of Central Tendency
- Rates, Averages, and Data Analysis
- Doubling A Rectangle's Sides
- Comparing Fractions Using One-Half
- Rates and Average
- Vertices of a Polygon
- Coordinates
- Finding a Missing Factor
- Equal Groups Formula
- Fractional Parts
- Absolute value
- Choosing the Correct Equation
- Finding a Fractional Part of a Group
- Welcome to Saxon Math 1
- Interpreting Remainders
- Operations of Arithmetic
- Understanding Area
- Addition and Subtraction Word Problems
- Checking Arithmetic with Inverses
- Integers on the number line
- Average
- Equivalent Fractions
- Approximately Equal To
- Coordinate plane
- Comparing
- Two-Step Conversions
- Comparing integers
- Quadrants
- Foundations of Problem-Solving
- Investigation 1: The Coordinate Plane
- Comparing Fractions with the Same Numerator
- Converting Between Units
Chapter 2: Number & Operations • Geometry
- Round
- Congruent
- Finding a Percent of a Number
- Adding Fractions With Common Denominators
- Converse of the Pythagorean Theorem
- Names of Polygons
- Understanding Exponents
- Estimate
- Powers and Roots
- The Real Number System
- Evaluation
- Classifying Angles
- Real numbers
- Percents
- Pythagorean Theorem
- Rounding mixed numbers
- Parallel, Perpendicular, and Skew Lines
- Linear pair
- Triangle Classification by Sides and Angles
- Common Denominators
- The measures of the three angles of a triangle total 180°
- Decimal Place Values
- Rounding decimals
- Converting Percents to Fractions
- Course Introduction: Building Number Sense
- Vertex
- Decimal Numbers
- Area of a Triangle
- Constant vs. Variable
- Adding and Subtracting Mixed Numbers
- Radicals and Roots
- Fractions to Decimals
- Perfect Square
- Polygons
- Irrational numbers
- Triangles
- Pythagorean Triple
- Explain
- Lines, Rays, and Segments
- Converting Fractions to Percents
- Evaluation and Solving Equations by Inspection
- Rounding and Estimating
- Adding and Subtracting Fractions and Mixed Numbers
- Pythagorean Theorem
- Lines and Angles
- Finding a Percent of a Number
- Solving Equations by Inspection
- Polygons
Chapter 3: Number & Operations
- Transformations
- Rotational symmetry
- Parallelogram
- Finding A Rate
- Dividing By a Decimal
- Rectangle
- Dividing powers
- Tree Diagrams For Combinations
- Adding and Subtracting Decimals
- Order In Ratios
- Multiplying Mixed Numbers
- distributive property
- Rotation
- Thinking Skill: Represent
- Finding the Difference
- Dividing Decimals By Wholes
- Classifying Quadrilaterals
- Laws of Exponents
- Multiplying powers
- Scientific Notation for Large Numbers
- Trapezoid
- Multiplying and Dividing Fractions
- Reciprocals
- Standard to Scientific Notation
- Power of a power
- Multiplying and Dividing Mixed Numbers
- Dilation
- Ratio
- Adding and Subtracting Decimal Numbers
- Repetend
- What Is A Ratio?
- Translation
- order of operations
- Rational Numbers as Decimals
- Example Card：Factoring an Expression Using a Common Factor
- Dividing Fractions
- Multiplying and Dividing Decimal Numbers
- Repeating Decimals
- reversing the distributive property expression
- Distributive Property and Order of Operations
- Comparing Repeating Decimals
- Multiplying Fractions
- Multiplying Decimal Numbers
- Scientific Notation
- Reflective symmetry
- Reflection
- Scientific Notation to Standard Form
- Converting Mixed Numbers
- Dividing Mixed Numbers
- Attaching Zeros to Decimals
Chapter 4: Algebra • Measurement
- Experimental probability
- Ratio Word Problems
- Probability
- Using Inverse Operations
- Operation Properties of Equality
- Solving Proportions
- Common Approximations for π
- Circumference of a Circle
- Like terms
- 3D Solids: Polyhedra vs. Non-Polyhedra
- Subtracting Integers
- Complement
- Radius and Diameter
- Area of a Circle
- Symmetric Property of Equality
- The Language of Algebra: An Introduction
- Probability
- Scale Factor
- Multiplying and Dividing Integers
- Face, Edge, and Vertex
- Circumference of a Circle
- Proportions and Ratio Word Problems
- Area of a Circle
- Method 2: Completion (The Subtraction Method)
- Parallel Projection
- Addition with Two Integers
- Sector of a Circle
- Sample space
- Vanishing Point
- Integers In Your Wallet
- Multiplying and Dividing Integers and Multiplying and Dividing Terms
- Proportions
- Side-Side-Side Triangle Similarity
- Powers of Negative Numbers
- Similar and Congruent Polygons
- A New Way to Solve Problems
- Areas of Combined Polygons
- Congruent Polygons
- Adding With Same Signs
- Similar Polygons
- Finding Missing Sides for Area
- Adding With Different Signs
- Area by Adding Parts
- Angle-Angle-Angle Similarity
- Effect of Doubling the Diameter
- Multiplying and Dividing Terms
- Subtracting By Adding The Opposite
- Drawing Geometric Solids
- Collecting like terms
Chapter 5: Number & Operations • Algebra
- The Scale Factor Shortcut
- Normalize Scientific Notation Coefficients
- Percent of a Whole
- Volume of a Prism
- Function
- Slope of a Line
- Surface Area
- Solving Multi-Step Equations
- Volume
- Finding The Percent
- Solving with a Unit Rate Equation
- Multiplying In Scientific Notation
- Describing Translation Shifts
- Dividing In Scientific Notation
- Reflection
- Combine Like Terms First
- Solving Two-Step Equations
- Proportional
- Function
- Thinking Skill: Connect
- Step Function
- Continuous Function
- Finding The Total Amount
- Graphing Functions
- Graphing Transformations
- Unit Rate
- Thinking Skill
- Solving Rate Problems with Proportions and Equations
- Thinking Skill: Formulate
- Ratio Problems Involving Totals
- Ratio Problems Involving Totals
- Volume of a Cube
- Dilation
- Linear Function
- Direct Proportion
- Common Error: Confusing Congruence with Similarity
- Average Rate of Change
- Solving Proportions Using Cross Products
- Volume of a Rectangular Prism
- A Net of a Solid
- Equations in the Real World
- Functions
- Solving Problems Using Scientific Notation
- Slope of a Line
- Rotation
- Solving with Proportions
- Surface Area
- Finding Lateral Surface Area
Chapter 6: Number & Operations • Data Analysis & Probability
- Population and Sample
- Negative Exponents
- Net of a Triangular Prism
- When The Mean Is Misleading
- A percent of a whole is a part
- Using Unit Multipliers to Convert Measures
- Solving Problems Using Measures of Central Tendency
- Choosing Appropriate Units
- Vertical Angles
- Definition: Corresponding Angles
- Using unit multipliers to convert measures
- Graphing Using Slope-Intercept Form
- Comparing Quantities by Dividing
- Introduction to Probability Simulations
- Solving Percent Problems with Equations
- Area of a Parallelogram
- Theoretical Vs. Experimental Probability
- Slope-intercept form
- Example Card：Finding and Interpreting Mean, Median, Mode, and Range
- Exponent Rules With Negative Numbers
- Operations with Small Numbers in Scientific Notation
- Qualitative and Quantitative Data
- Net of a Cone
- Histogram
- The Slope-Intercept Equation of a Line
- Scientific Notation for Small Numbers
- Interpreting The Equation
- Statistics
- Area of a Parallelogram
- Qualitative vs. Quantitative Data
- Experimental Probability
- Supplementary and Complementary Angles
- Net of a Cylinder
- Solving for the Unknown: Finding the Percent
- Alternate Interior Angles
- Perimeter of a Parallelogram
- Circle Graph
- Fraction vs Decimal Strategy
- Converting mixed-unit to single-unit measures
- Experimental Probability
- Mean, Median, and Mode
- Nets of Geometric Solids
- Negative Exponents • Scientific Notation for Small Numbers
- Angle Relationships
- Multiplying with Scientific Notation
- Area of a Dilated Parallelogram
- Thinking Skill
- Range
- Collect, Display, and Interpret Data
- Unfolding Solids into Nets
Chapter 7: Algebra
- Calculating Original Price After Discount
- Geometric Sequence
- Graphing inequalities on a number line
- Rational Numbers and Decimals
- Real-World Inequalities
- The 30-60-90 Triangle
- Fundamental Counting Principle
- Constant of proportionality
- Example Card: Probability of Rolling Odd Numbers on Two Dice
- Defining Similarity (Angles and Proportions)
- Finding an Equivalent Rate
- 30-60-90 Triangles
- Characteristics of Direct Variation
- Subscripts
- Calculating Experimental Probability
- Probability Simulation
- Multiplication Rule for Probability
- Theoretical probability
- Predicting With Rates
- Graphing Solutions to Inequalities on a Number Line
- 45-45-90 Triangles
- Indirect Measure
- Understanding Direct Variation
- Applications Using Similar Triangles
- Sequences
- Independent Events
- Direct Variation
- Solving Direct Variation Problems
- Handy Square Root Hacks
- Using a Unit Multiplier to Convert a Rate
- Solving With Proportions
- Formula For A Sequence
- Direct variation
- Arithmetic Sequence
- Probability Simulation
- Solving Two-Step Inequalities
- Solving Problems with Rate Conversion
- Negative Exponents on Fractions
- Percent of Change
- Rational Numbers, Non-Terminating Decimals, and Percents
- Probability Multiplication Rule
- Special Right Triangles
- Using a Unit Multiplier to Convert a Rate
- Calculating The Amount Of Increase
- Converting Tricky Percents
- Solving With Proportions
- Percent Of Change Ratio Table
Yoshiwara Core Math
7 chapters, 97 skills
▶
Yoshiwara Core Math
7 chapters, 97 skills
Chapter 1: Preliminary Ideas
- Angles in Triangles
- Fractions as Division
- Kinds of Angles
- Benchmark Fractions
- Classifying Triangles by Angle Measures
- Greatest Common Factor
- Numerator and Denominator
- Sides and Angles
- Using a Protractor
- Measuring Angles
- Prime and Composite Numbers
- Perimeter
- Area
- One-Tenth
- Fractions on a Number Line
- Methods for calculating area
- Lowest Common Multiple
- Classifying Triangles by Side Lengths
- Fractions in Tenths
- Finding Equivalent Fractions by Grouping Parts on a Number Line
Chapter 2: Numbers and Variables
Chapter 3: Measurement
Chapter 4: Calculation
- Writing Equivalent Fractions
- Defining Negative Numbers
- Order of Operations
- Dividing by a Fraction
- Squares and Square Roots
- Dividing with Fractions and Mixed Numbers
- Opposite of a Negative Number
- Adding and Subtracting Unlike Fractions
- Mixed Numbers and Improper Fractions
- Adding and Subtracting Like Fractions
- Representing Change with Signed Numbers
- What is a Square Root?
- Multiplying by a Fraction
- Graphing on a Number Line
- Step 1: Find the Lowest Common Denominator (LCD)
Chapter 5: Using Variables
- Translating Two-Step Algebraic Expressions
- Equations with Two Operations
- Like Terms
- Evaluating Algebraic Expressions
- Definition of Equivalent Expressions
- Line Graphs
- Strategy 3, Part B: Connecting 'Working Backwards' to Solving Equations
- Graphing an Equation
- Modeling a Problem
- Defining Variables and Equations
Chapter 6: Core Concepts
- Writing the Proportional Relationship Equation y = kx
- Using Proportions
- Volume Principle for Similar Objects
- Understanding Rates and Unit Rates
- Introduction to Similar Figures
- Areas of Similar Figures
- Comparing Quantities
- Similar Triangles
- Conditions for Similarity
- Ratios
- Similar Figures
- Proportional Figures
- Properties of Similar Solids
- Relating Graph Steepness to the Rate of Change
- Mental math with scale factors
- Scale Factors
- Proportional Variables
- Graphing Proportional Variables
Chapter 7: Signed Numbers
- Graphing Linear Equations
- Subtracting a Positive Number
- Plotting Points
- Rules for Dividing Signed Numbers
- Solving Equations
- The Cartesian Coordinate System
- Adding Two Numbers with the Same Sign
- Adding Two Numbers with Opposite Signs
- Subtracting negative integers on number line
- Interpreting Notation
- Calculating a Final Value After a Change