Amplify Science (California) Grade 7
Science
Start Learning →7th Grade
AI-powered 7th grade learning. Algebra foundations, geometry basics, life science, and history — personalized to each student.
Big Ideas Math, Advanced 2
Math
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Big Ideas Math, Course 2
Math
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Big Ideas Math, Course 2, Accelerated
Math
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California myWorld Interactive, Grade 7
History
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enVision, Mathematics, Grade 7
Math
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History Alive! The Medieval World and Beyond
History
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History of A Free Nation (Grade 7 & 8)
History
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Illustrative Mathematics, Grade 7
Math
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IMPACT California Social Studies, Grade 7
History
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Life Science (Grade 7)
Science
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OpenStax Algebra and Trigonometry
Math
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Pengi Math (Grade 7)
Math
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Pengi Social Studies (Grade 7)
History
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Reveal Math, Accelerated
Math
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Saxon Math, Course 2
Math
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Vocabulary for the High School Student (Grade 7)
Vocabulary
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Yoshiwara Intermediate Algebra
Math
Start Learning →7th Grade Skills (1874)
Amplify Science (California) Grade 7
29 chapters, 195 skills
▶
Amplify Science (California) Grade 7
29 chapters, 195 skills
Chapter 1: Comparing Earth and Rocky Planets
Chapter 2: Using Models as Evidence
Chapter 3: Analyzing New Evidence
Chapter 1: Introducing Earth’s Outer Layer
Chapter 2: Understanding Plate Boundaries
Chapter 3: Investigating the Rate of Plate Movement
Chapter 4: Science Seminar (Case Study: Jalisco Block)
Chapter 1: Tsunami Warning Systems
Chapter 1: Rock Formations
Chapter 2: Sediment and Magma
Chapter 3: Movement of Rock Formations
Chapter 4: Science Seminar (Case Study: Venus)
Chapter 1: Describing Phase Change at Two Scales
Chapter 2: Investigating Energy and Phase Change
Chapter 3: Investigating Attraction and Phase Change
Chapter 4: Science Seminar (Case Study: Liquid Oxygen)
Chapter 1: Portable Baby Incubators
Chapter 1: Properties and Atoms
Chapter 2: Reactions
Chapter 3: Accounting for Atoms
Chapter 4: Science Seminar (Case Study: The Diamond Heist)
Chapter 1: Stability and Change in Populations
Chapter 2: Energy and Changes to Populations
Chapter 3: Indirect Effects in Ecosystems
Chapter 4: Science Seminar (Case Study: Orange-Bellied Parrot)
Chapter 1: Photosynthesis
Chapter 2: Cellular Respiration in Ecosystems
Chapter 3: Carbon Movement in Ecosystems
Chapter 4: Science Seminar (Case Study: Deforestation)
Big Ideas Math, Advanced 2
15 chapters, 254 skills
▶
Big Ideas Math, Advanced 2
15 chapters, 254 skills
Chapter 1: Equations
Chapter 2: Transformations
- Defining Dilations
- Using Similarity Notation
- Applying the Coordinate Rule for Translations
- Sequences of Rigid Transformations
- Composition of Rotations with Translations and Reflections
- Calculating Perimeter and Area Ratios of Similar Figures
- Rotating Figures About Any Point (Advanced)
- Locating the Center of Dilation
- Identifying Corresponding Parts and Writing Congruence Statements
- Measuring Angles
- The Center of Rotation
- Defining a Translation
- Verifying Dilations in the Coordinate Plane
- Identifying Reflections in Geometric Figures
- Graphing Reflections by Counting
- Coordinate Rules: Reflection Across the X-Axis and Y-Axis
- Identifying Reflectional Symmetry in Frieze Patterns
- Defining a Reflection
- Defining the Scale Factor (k): Enlargements and Reductions
- Definition of Congruent Triangles
- Geometric Transformations Overview
- Perimeter Ratio of Similar Figures
- Finding Ratios of Corresponding Measurements
- Direction of Rotation: Clockwise and Counterclockwise
- Coordinate Rules for Sequences
- Coordinate Rule: Reflection Across the y-axis
- Reflection Across the Line y = x
Chapter 3: Angles and Triangles
- Individual Angles in Regular Polygons
- Dilating Triangles Using Scale Factors
- Regular Polygon Angle Measures
- Finding Hidden Angles for Proofs (Vertical, Parallel, Bisectors)
- Alternate Interior Angles
- Supplementary Angles
- Definition: Transversals
- Parallel Lines
- Exterior Angle Theorem
- Alternate Exterior Angles
- Corresponding Angles are Congruent
- The Angle-Angle (AA) Similarity Criterion
- Triangle Angle-Sum Theorem
- Defining Exterior Angles of a Triangle
- Solving for Unknown Sides in Similar Figures
- Polygon Definition and Classification
- Problem Solving with Interior and Exterior Angles
- Polygon Interior Angle Sum Formula
- Indirect Measurement Using Similar Triangles
- Vertical Angles
- Angle Preservation Under Dilation
- Exterior Angle Sum Property
Chapter 4: Graphing and Writing Linear Equations
- Horizontal lines have slope 0
- Find Intercepts from Slope-Intercept Form
- Choosing Between Standard Form and Slope-Intercept Form for Graphing
- Writing Equations Using Slope and One Point
- Writing Equations Using Two Points
- Application: Comparing Rates by Comparing Slopes
- Standard Form of Linear Equations
- Graph of a Linear Equation
Chapter 5: Systems of Linear Equations
Chapter 6: Functions
- Writing Linear Functions from Tables
- Sketching Graphs
- Finding and Comparing Rates of Change (Slope)
- Analyzing Graph Behavior
- Graphical Representation of Functions
- Comparing Linear and Nonlinear Functions Side-by-Side
- Introduction to Input-Output Relationships
- Identifying Linear vs. Nonlinear Functions from a Table
- Spotting Functions in Tables and Mapping Diagrams
- Decreasing Graphs
- Horizontal Lines in Graphs
- Writing Function Rules from Word Problems
- Comparing Linear Functions: Initial Value
- Real-World Nonlinear Models
- The Core Difference: Constant vs. Variable Change
Chapter 7: Real Numbers and the Pythagorean Theorem
Chapter 8: Volume and Similar Solids
- Finding missing radius in cone volume problems
- Volume of a Cylinder
- Sphere Volume from Cylinder Relationship
- Deriving Sphere Volume Using Pyramid Method
- Finding Radius from Volume
- Volume of Hemispheres
- Finding the height of a cone given volume and radius
- The Height and Volume of Cylinders
- Relationship Between Cone and Cylinder Volumes
- Water Displacement Method for Volume
Chapter 9: Data Analysis and Displays
- Scatter Plots and Outliers
- Selecting Appropriate Data Displays
- Interpreting Relationships in Scatter Plots
- The Anatomy of a Two-Way Table
- Stem-and-Leaf Plots
- Introduction and Construction of Two-Way Tables
- Dot Plots
- Procedure: Plotting Points on a Scatter Plot
- Organizing categorical data in two-way tables
- Circle Graphs for Part-to-Whole Data
- Choosing Appropriate Scales for Scatter Plot Axes
- Regression Line
- Introduction to Box-and-Whisker Plots
- Histograms for Continuous Data
- Making Predictions with Lines of Fit
- Reading Joint Frequencies from Two-Way Tables
- Calculate marginal frequencies in two-way tables
Chapter 10: Exponents and Scientific Notation
- Repeated Multiplication and Exponential Form
- Powers with Variables
- Quotient of Powers Property - Same Base
- Add Numbers in Scientific Notation with Same Powers
- Subtract Numbers in Scientific Notation
- Application: Product and Quotient Rules with Negative Exponents
- Add Numbers in Scientific Notation with Different Powers
- Simplifying Complex Expressions
- Order of Operations with Exponents
- Comparing Numbers in Scientific Notation
- Multiple Quotients in Single Expressions
- Applying Zero and Negative Exponent Properties
- Quotient Property - Complete Overview with All Exponent Rules
- Comparing Numbers in Scientific Notation
- Subtract Numbers in Scientific Notation with Different Powers
- Multiplicative Inverse Property and Negative Exponents
- Powers of 10 with Negative Exponents in Place Value
Chapter 11: Inequalities
- Checking Solutions by Substitution
- Modeling Real-World Situations with Inequalities
- Inequality Symbols and Definitions
- Solving Inequalities Using Multiplication and Division
- Solving One-Step Inequalities Using Multiplication or Division
- Two-Step Inequality Word Problems
- Graphing Inequality Solutions
- Common Errors in Solving Two-Step Inequalities
- Procedure: Graphing an Inequality's Solution Set
- Checking Inequality Solutions by Substitution
- Solving Two-Step Linear Inequalities
Chapter 12: Constructions and Scale Drawings
- Vertical Angles and Solving Equations
- Classifying Quadrilaterals Using Most Specific Names
- Adjacent Angles and Solving Equations
- Adjacent Angles
- Scale Drawing Applications
- Solving for Actual Dimensions (With Unit Conversions)
- Diagram Markings for Congruent Sides and Angles
- Defining a Quadrilateral
- Interpreting Scale Notations
- Triangle Inequality Theorem
- Defining Vertical Angles
- Properties of Complementary Angles
- Properties of Trapezoids
- Properties of Rectangles
- Adjacent Angle Relationships
- Finding Missing Angle Measures with Equations
- Classifying Angle Pairs
- Non-Adjacent Complementary and Supplementary Angles
- Special Cases: Vertical Angles and Complementary/Supplementary Relationships
- Triangle Construction Methods
- Properties of Parallelograms, Rhombuses, Squares, and Kites
- Constructing Quadrilaterals with Given Constraints
- Perimeters in Scale Drawings
Chapter 13: Circles and Area
- Finding Diameter from Circumference
- Methods for calculating area of composite figures
- Area of circles
- Perimeters of Composite Figures
- Area of Triangles
- Area of a Semicircle
- Circle Definitions: Radius, Diameter, and Center
- Circle Formulas: Diameter and Circumference
- Area of Rectangles
- Understanding Perimeter
- Semicircle Properties and Perimeter
- Area of Semicircles
- Estimating Perimeter on Grid Paper
- Perimeter of Semicircles
- Identifying Outer Perimeter Edges
- Estimating circle area using grid squares
- Semicircle Perimeter
- Alternative Area Derivation Using Triangle Visualization
- Finding Areas of Semicircles
Chapter 14: Surface Area and Volume
- Area of Rectangles and Triangles
- Surface Area of Cylinders
- The Universal Volume Formula for Prisms
- Introduction to Volume and the "Big B"
- Triangular Prisms and the "Rectangle Trap"
- Lateral Surface Area of Cylinders
- Volume of Pyramids (The 1:3 Rule)
- Solve Volume Formulas for Specific Variables
- Volume Calculation for Prisms
- Introduction to Volume and Cubic Units
- Volume of a Cube
- Surface Area Formulas for Prisms
- Rectangular Prism Surface Area Formula
- Finding Total Surface Area of Pyramids
- Cylinder Structure and Components
- Step-by-Step Cylinder Surface Area Calculations
- Rounding Final Surface Area Answers
- Volume of Triangular Prisms
- Lateral Surface Area of Prisms
- Surface Area Formula for Pyramids
- Surface Area Calculations for Different Pyramid Types
- Real-World Prism Volume Applications
- Comparing Pyramid and Prism Volumes
- Volume Formula for Rectangular Pyramids
- Cube Surface Area Formula
- Introduction to Nets: Drawing a Net for a Prism
- Definition and Properties of Pyramids
- Scaling Effects on Cylinder Surface Area
- Evaluating Volume Formulas for Prisms
Chapter 15: Probability and Statistics
- Multiplication Formula for Dependent Events
- Identifying Independence in Real-World Scenarios
- Making Valid Inferences from Sample Data
- Choosing Measures of Center for Population Comparison
- Identifying Complementary Events
- Using Experimental Data to Approximate Probability and Make Predictions
- Calculating Experimental Probability from Trial Data
- Comparing Populations Using Box Plots
- Calculating the Probability of a Compound Event
- Conducting and Recording Experimental Trials
- Conditional Probability Notation and Calculation
- Using Cross Products to Solve Probability Equations
- Identifying Biased and Unbiased Sampling Methods
- Defining Simple and Compound Events
- Representing Sample Spaces with Organized Lists
- Application: Making Predictions with Probability Models
- Uniform Probability Models
- Finding probabilities of compound events
- Measures of Center for Population Comparison
- Understanding Equally Likely Outcomes and Fairness
- Fairness: When Outcomes Are Not Equally Likely
- Visualizing Data Distributions with Double Dot Plots
- Create and interpret double box-and-whisker plots
- Identifying the Shape of a Distribution
- Defining Population and Sample
- Creating Tree Diagrams for Compound Events
- Adjusting Probabilities in Dependent Events
- Identifying Biased vs Unbiased Samples
- Using percent proportions to make population predictions
- Calculating Mean Absolute Deviation (MAD)
- Defining Theoretical Probability and Sample Space
- Interquartile Range (IQR)
- Calculating Theoretical Probability
- Calculating Probabilities of Independent and Dependent Events
- Counting Favorable Outcomes
- Converting Probability Between Fractions, Decimals, and Percents
- Create and Interpret Double Dot Plots
- Combining Multiple Samples for Better Predictions
- Representing Sample Spaces with Tables
- Application: Using a Random Number Generator
Big Ideas Math, Course 2
8 chapters, 69 skills
▶
Big Ideas Math, Course 2
8 chapters, 69 skills
Chapter 1: Integers
- Adding Multiple Integers
- Avoiding errors when subtracting negative integers
- Integers on the Number Line
- Special Case: Division by -1
- Adding Integers Using Number Lines
- Solving word problems with integer subtraction
- Real-World Integer Multiplication Applications
- Real-World Applications of Integers and Absolute Value
- Evaluating Multi-Factor Integer Expressions
- Real-World Applications of Integer Division
- Evaluating Expressions with Integer Division
Chapter 2: Rational Numbers
- Real-World Applications of Rational Number Subtraction
- Real-World Applications of Rational Number Operations
- Procedure: Subtracting Fractions with Unlike Denominators
- Subtract Fractions with Common Denominators
- Real-World Applications of Rational Number Addition
- Convert decimals to fractions
- Adding Decimals with Different Signs
- Adding Fractions with Common Denominators
- Evaluating Algebraic Expressions with Rational Numbers
- Operations with Multiple Rational Numbers
- Adding Fractions with Different Denominators
- Subtract Decimal Numbers
Chapter 3: Expressions and Equations
- Multiplication and Division as Inverse Operations
- Concept: Adding Linear Expressions
- Simplest Form of Algebraic Expressions
- Distributing and Combining Like Terms in Inequalities
- Solving Real-World Equations with Multiplication and Division
- Working Backwards Strategy for Real-World Problems
- Solving Two-Step Equations with Fractions
- Introduction to Factoring a Linear Expression via the Distributive Property
- Subtracting Equations and Distributing Negatives
Chapter 4: Inequalities
- Solving One-Step Inequalities Using Addition and Subtraction
- Application: Solving Real-World Problems with Multi-Step Inequalities
- Solving Two-Step Linear Inequalities
- Common Errors in Inequality Solving and Graphing
- Graphing Inequality Solution Sets
- Inequality Symbols and Definitions
- Verifying Solutions and Understanding Solution Sets
- Solving Two-Step Inequalities with Distributive Property
Chapter 5: Ratios and Proportions
Chapter 6: Percents
- Finding the percent using the percent proportion
- Solve for Time Period (t)
- Solving percent problems using the percent proportion
- Applying the Percent Equation to Real-World Problems
- Finding the whole when given a part and percent
- Identify Percent Increase or Decrease
- Finding Original Price from Sale Price
- Order fractions, decimals, and percents
- Find Percent Error
- Finding the part using the percent proportion
- Locate fractions, decimals, and percents on the number line
Chapter 7: Constructions and Scale Drawings
Big Ideas Math, Course 2, Accelerated
6 chapters, 36 skills
▶
Big Ideas Math, Course 2, Accelerated
6 chapters, 36 skills
Chapter 1: Transformations
Chapter 2: Angles and Triangles
Chapter 3: Graphing and Writing Linear Equations
Chapter 4: Real Numbers and the Pythagorean Theorem
Chapter 5: Volume and Similar Solids
California myWorld Interactive, Grade 7
10 chapters, 257 skills
▶
California myWorld Interactive, Grade 7
10 chapters, 257 skills
Chapter 1: The Roman and Byzantine Empires
- Christians Practice Their Faith
- Byzantium Shapes Early Russia
- The Empire Creates a Unique Culture
- Churches Debate Ultimate Authority
- The West Falls While the East Survives
- Christianity Spreads and Divides
- Tribes Overwhelm Roman Borders
- Justinian Organizes Roman Law
- Romans Stage Mass Entertainment
- Rome's Legacy Shapes the Modern World
- Romans Blend Cultures Across the Empire
- Rome Connects a Diverse Empire
- Justinian Pursues Roman Glory
- The Empire Spreads Its Culture
- Christians Assemble the Bible
- Romans Engineer an Empire
- Romans Ruled a Divided Judea
- Augustus Creates the Roman Empire
- Christians Define Jesus's Role
- Emperors Divide and Reform the Empire
- Augustus Establishes the Pax Romana
- Apostles Spread a New Faith
- Romans Adapted and Innovated in Arts and Sciences
- Christianity Builds on Jewish Roots
- The Christian Church Divides
- The Roman Empire Accepts Christianity
- Byzantines Define Core Beliefs
- The Eastern Empire Forges a New Identity
- The Empire Cracks from Within
- Internal Crises Weaken Rome
- Trade Unites the Roman World
- Jesus's Teachings Challenge Roman Rule
- Enemies Overwhelm the Byzantine Empire
Chapter 2: Life in Medieval Christendom
- Lords Exchange Land for Loyalty
- The Church Builds Spiritual and Secular Power
- Invasions Shatter European Unity
- Geography Shapes European Kingdoms
- The Church Shapes Medieval Culture
- Trade Creates New Towns
- Guilds Regulated Craft and Trade
- Bankers Develop New Financial Tools
- Religious Orders Engaged the World
- Cathedral Schools Become Universities
- Missionaries Spread Christianity
- Christianity Creates a Common Identity
- Knights Defend Feudal Lords
- Population Growth Revives Trade
- Farming Improvements Boost Population
- Monastic Communities Serve Society
- Manors Support Medieval Life
- The Pope Crowns an Emperor
- Charlemagne Unites Western Europe
- The Franks Build a Powerful Kingdom
- Germanic Tribes Divide Europe
- Aquinas Unites Faith and Reason
- Feudalism Creates a Social Pyramid
Chapter 3: Struggle in Medieval Europe
- Normans Transform English Society
- Trade Routes Spread the Black Death
- Diverse Cultures Meet in Norman Sicily
- England Builds a System of Law and Government
- Otto the Great Revives an Empire
- The Black Death: A Continental Catastrophe
- Christian Kingdoms Challenge Muslim Rule
- French Kings Strengthen Their Rule
- Crusades Spark Persecution in Europe
- Crusaders Win and Lose the Holy Land
- Three Faiths Share a Divided Society
- Europeans Answer the Call to Crusade
- Barons Limit the King's Power
- Crusades Spark Trade and Learning
- Spain Enforces Religious Unity
- King and Archbishop Clash Over Power
- Popes Claim Supreme Authority
- A Royal Marriage Unites Spain
- Pope Challenges Emperor's Power
- Umayyad Rulers Build a Thriving Culture in Spain
- New Weapons Transform European Warfare
- Crises Weaken Medieval Society
Chapter 4: The Islamic World and South Asia
- The Five Pillars Guide Muslim Life
- Cities and Trade Fuel Cultural Exchange
- Gupta India Develops Rich Arts and Literature
- Guptas Grant Local Control
- Desert Geography Shapes Arabian Life
- Scholars Preserve and Expand Ancient Knowledge
- Dynasties Create a Blended Culture
- Islam Guides Daily Life and Law
- India's Kingdoms Rise After an Empire Falls
- Indians Develop New Religious Ideas
- New Empires Reshape Northern India
- New Empires Lead the Muslim World
- A Disagreement Divides Islam
- Muslim Scholars Advance Global Mathematics
- Muslims Develop a Rich Literary World
- Muhammad Receives God's Message
- Muslims Follow One God's Final Prophet
- Muhammad's Message Challenges Mecca
- Islamic Art Blends Faith and Culture
- Muhammad Unites the Arabian Peninsula
- Cholas Spread Culture Through Trade
- Muslims Follow Sacred Texts
- Gupta Scholars Advance Knowledge
- Muhammad Establishes a Community in Medina
- Muslim Armies Create a Vast Empire
- A New Faith Blends Traditions
- Muslim Rule Shapes Society
- Gupta Rulers Build an Empire
Chapter 5: Civilizations of East Asia and Southeast Asia
- Chinese Inventions Transform the World
- Japan Blends Traditions for Social Harmony
- Clans Weaken Imperial Rule
- Geography Creates Cultural Pathways
- Southeast Asia Borrows from its Neighbors
- Japanese Theater Develops for Different Classes
- Nobles Shape a Golden Age
- Southeast Asia Develops Diverse Kingdoms
- Tang and Song Dynasties Spark a Golden Age of Culture
- A Warlord Establishes Military Rule
- The Yamato Clan Rises to Power
- Japan Blends Shinto and Buddhist Beliefs
- Three Warlords Unify Japan
- Leaders Centralize Power in Japan
- Japan Adapts Ideas from its Neighbors
- Korean Dynasties Borrow Chinese Ideas
- Koreans Create a Distinct Culture
- China Blends Three Great Teachings
- Geography Shapes a Unique Culture
- Chinese Artists Shape Global Trade
- China Builds a Trade Network
- Daimyo Organize Feudal Society
- Japanese People Adapt Buddhism
- Farming Innovations Fuel a New Economy
- Mongols Forge a Vast Empire
- Samurai Live by the Code of Honor
- Ming China Turns Inward
- Ming Emperors Restore Chinese Rule
- China's Ideas and Inventions Shape the World
- Emperors Build a Government of Scholars
- Travelers Connect China to the World
- Mongols Rule China and Secure Trade
- Tang Rulers Centralize Power
Chapter 6: Civilizations of the Americas
- The Maya Record Their World
- Kings Ruled a Society of City-States
- Iroquois Unite Nations in the Woodlands
- Peoples Adapt to Northern Environments
- Life on the Plains: The Impact of the Horse
- Incas Farm the Mountains
- Mesoamericans Adapt to the Land
- Aztecs Built a Great City and Culture
- Early Peoples Build Complex Societies
- Aztecs Structured a Rigid Society
- Aztecs Engineer a Lake Capital
- Incas Expand and Control Their Empire
- A Civil War Divides the Empire
- Incas Engineer a Mountain Empire
- Mayan Kings Link Power to the Gods
- Aztecs Forge an Empire of Tribute
- Religion Drives Aztec Warfare and Sacrifice
- Peoples Master Arid Environments
- Incas Organize Society for Labor
Chapter 7: African Civilizations
- Coastal Trade Forges a New Culture
- Griots Preserve History
- Mansa Musa Showcases Mali's Power
- Art Animated West African Traditions
- Iron Tools Reshape West African Society
- Trade Creates Swahili City-States
- Axum Replaces Kush as a Trading Power
- Ghana Controls the Gold-Salt Trade
- Mali Controls the Gold-Salt Trade
- Sundiata Founds the Mali Empire
- Songhai Builds a New Empire
- West Africans Blend Religious Beliefs
- Pressures and Invasion Weaken the Ghana Empire
- Askia Muhammad Strengthens Songhai with Islam
- Axum Adopts a New Faith
- The Soninke Forge an Empire
- Birth Determined Social Rank
- Families Built West African Society
- Geography Guides African Societies
- Axum Controls Key Trade Routes
Chapter 8: The Renaissance and Reformation
- The Printing Press Sparks a Reading Boom
- Writers Embrace Local Languages
- Italian Cities Spark the Renaissance
- Artists Developed Realistic Techniques
- Trade Creates a New Wealthy Class
- Humanism Inspires Northern Thinkers
- Reformation Ideas Reshape Government and Spread Globally
- The Church Strengthens Its Authority
- Thinkers Develop the Scientific Method
- Renaissance Artists Embrace New Subjects
- The Renaissance Celebrated Diverse Talents
- Calvin Forms a Protestant Theocracy
- Scientists Challenge an Old View of the Universe
- Thinkers Build on Ancient Knowledge
- Renaissance Writers Reach New Audiences
- Rulers Gain Power Over Religion
- Kings Use Reformation to Gain Power
- The Reformation Divides Europe
- Gutenberg Invents the Printing Press
- Thinkers Develop New Ideas
- Luther Challenges Church Authority
- Religious Divisions Spark European Wars
- The Catholic Church Responds with Reform
- Thinkers Forge New Paths to Knowledge
- The Church Controls Information
- Architects Revive Classical Styles
Chapter 9: Global Convergence
- Spain Controls Its American Empire
- Spanish Explorers Claim New Territories
- Conquistadors Exploit Divisions to Conquer
- Columbus's Voyage Reveals a New World
- A Trade Network Connects Three Continents
- Africans Endure the Middle Passage
- New Tools Launch an Age of Exploration
- Spanish Rule Created a Social Pyramid
- Portugal Pioneers a Sea Route to India
- An Expedition Sails Around the World
- Nations Use Colonies to Gain Wealth
- Britain Wins Control of North America
- Portugal Builds a Trading Post Empire
- Europeans Redefine Slavery in the Americas
- Colonists Shape Regional Economies and Governments
- Europeans Pursue Different Goals
- English Colonists Seek Different Goals
- Africans Fight for Freedom and Culture
- American Silver Raises European Prices
- Demand for Sugar Fuels the Slave Trade
- Conquest Creates a New Culture
- Asia Drives Global Silver Trade
- Spain's Empire Reshapes American Life
- Merchants Build a New Economy
- Empires Compete for North America
- Portugal Exploits Brazil's Resources
- The Columbian Exchange Reshapes the World
- Europeans Seek Riches and Religion
- Rivals and Disasters Weaken the Portuguese Empire
- Merchants Build a Peaceful Trade Network
- Spain and Portugal Divide the World
- Conquest Devastates Native Peoples
- Spain Builds an Economy on Forced Labor
- Disease and Division Aid Conquest
- Spain Extracts American Riches
Chapter 10: Absolutism and Enlightenment
- Frederick the Great Builds Prussia's Power
- New Thinking Sparks an Age of Reason
- Thinkers Challenge Society and Economics
- Peter the Great Modernizes Russia
- Spanish Kings Expand Their Rule
- Parliament Limits the Monarchy's Power
- Spain's Power Rises and Falls
- Founders Apply Enlightenment Ideas
- Maria Theresa Strengthens the Habsburg Empire
- Influence from the Enlightenment: New Ideas on Government
- Stuart Kings Challenge Parliament
- The Sun King Symbolizes Absolute Power
- King and Parliament Go to War
- England Experiments with a Republic
- French Kings Centralize Power
- Neighbors Divide Poland
- England Restores and Replaces its Monarchs
- Russia Expands to the Sea
enVision, Mathematics, Grade 7
7 chapters, 38 skills
▶
enVision, Mathematics, Grade 7
7 chapters, 38 skills
Chapter 1: Integers and Rational Numbers
- The Zero Property of Opposites
- Adding and Subtracting Rational Numbers in Different Forms
- Identifying Rational Numbers by their Decimal Form
- Distance Between Rational Numbers
- Understanding Why Division by Zero is Undefined
- Additive Inverses
- Multiplying Different Forms of Rational Numbers
- Modeling Multiplication on a Number Line
- Subtracting Integers on a Number Line
- Placement of the Negative Sign in Division
- Modeling Multiplication of Signed Numbers on a Number Line
- Dividing Rational Numbers in Different Forms
Chapter 2: Analyze and Use Proportional Relationships
Chapter 3: Analyze and Solve Percent Problems
Chapter 4: Generate Equivalent Expressions
- Common Error: Keep the Variable Part the Same
- Finding the Greatest Common Factor (GCF)
- Procedure for Factoring a Linear Expression
- Simplifying Expressions with Multiple Variables
- Adding Expressions with Multiple Variables
- Factoring Out a Negative GCF
- Introduction to Factoring with Area Models
- Application: Interpreting Dimensions by Factoring
- Distributing Variables and Fractions
- Application: Modeling Perimeter and Borders
- Subtracting Expressions with Rational Coefficients
Chapter 5: Solve Problems Using Equations and Inequalities
Chapter 6: Use Sampling to Draw Inferences About Populations
History Alive! The Medieval World and Beyond
10 chapters, 194 skills
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History Alive! The Medieval World and Beyond
10 chapters, 194 skills
Chapter 1: Europe During Medieval Times
- Justinian's Reign: Law, Architecture, and Conquests
- Spreading Christianity: Monasticism and Daily Life
- Rome's Legacy in Law and Citizenship
- Towns Purchase Their Independence
- The Role of Sacraments in Medieval Daily Life
- Context for the Middle Ages: The Fall of Rome
- The Fall of the Republic: Powerful Generals and Civil War
- Political Change: The Magna Carta Limits Royal Power
- The Rise of Towns: Peasants Seek Freedom and Opportunity
- The Feudal Pyramid: Lords and Vassals
- Greek and Etruscan Cultural Influences
- The Church's Central Authority in Medieval Europe
- Setting the Stage: Famine and War Weaken Europe
- Cause of the Schism: The Iconoclasm Controversy
- Roman Rule in Judea Sets the Stage for a Messiah
- Life in the Hierarchy: Knights and Chivalry
- Augustus and the Pax Romana
- Christianity's Rise: From Persecution to State Religion
- The Great Schism: A Division Between East and West
- Common Error: Reconciling Faith and Reason in Universities
- Charlemagne and the Carolingian Empire
- Case Study: Popes Clash with Secular Rulers
- The Urban Economy: How Guilds Structured Town Life
- The Nature of History: An Ongoing Argument
- Political Change: The Rise of Parliament
- Life in the Hierarchy: Peasants and Serfs
- The Life, Teachings, and Death of Jesus
- Roman Engineering: Roads, Aqueducts, and Concrete
- A Consequence of Trade: The Spread of the Black Death
- Townspeople Endured Crowding and Crime
- The Council of Nicaea Establishes Christian Doctrine
- The Costs of Expansion: Division in the Republic
- The Fall of the Byzantine Empire
- Rome's Legacy in Art and Language
- The Spread of Christianity: The Apostle Paul
- The First Three Periods of Roman Expansion
- Cause of the Schism: The Struggle for Church Authority
- Economic Shift: The End of Serfdom
- Internal Causes for the Fall of the Western Roman Empire
- The Hundred Years' War: New Weapons and Armies
Chapter 2: Islam in Medieval Times
- The Continued Expansion of Islam: The Ottoman Empire
- Causes of the Crusades: Pope Urban II's Call to Arms
- The House of Wisdom and the Preservation of Knowledge
- Tribes and Trade Shape Pre-Islamic Arabia
- Muhammad Receives Revelations and Founds Islam
- Caliphs Expand the Muslim Empire
- Muhammad Unites Arabia Under Islam
- The Pax Mongolica and the Black Death
- Consequences of the Reconquista: Spain Expels Jews and Muslims
- The Five Pillars Guide Muslim Life
- Muslims Develop Islamic Law
- Islam's Texts Shape Belief and Practice
- An Overview of Muslim Empires in India
- The Battle of Tours Halts Umayyad Expansion
- Jihad Defines a Muslim's Struggle
- Muslims Blend Different Cultures
- Trade and Cities: The Economic Engine of the Islamic World
- Islamic Civilization Connects World Knowledge
- The Abbasid Caliphate Sparks a Golden Age
Chapter 3: South Asia 300-1200
- Buddhism's Spread and Adaptation in Asia
- Achievements of the Gupta Golden Age
- Culture and Values: The Bhagavad Gita
- Trade Routes as Highways for Ideas
- Defining a 'Golden Age': The Gupta Empire
- Gupta Governance: A Foundation for a Golden Age
- Hinduism's Evolution: The Bhakti Movement
- Primary Source: Fa-hsien's Account of Gupta India
- The Introduction of Islam to India
- Cultural Diffusion: The Spread of Gupta Mathematics
Chapter 4: The Culture and Kingdoms of West Africa
- Invaders and New Rulers Topple Ghana
- West African Art Served Social and Spiritual Roles
- West African Music Unites Communities
- Modern Musicians Adapt the Griot Role
- Interpreting Archaeological Evidence in Early African History
- Enablers of Trans-Saharan Trade
- Rulers Use Wealth to Build Kingdoms
- Families Join to Create Villages
- Governance in the Ghana Empire
- West Africans Blend Religious Traditions
- Griots Preserve West African History
- West Africans Adopt Islamic Styles
- Islam Reshapes West African Government
- Traders Exchange Goods in Ghana
- Case Study: The Ghana Empire's Control of Trade
- Geography and Early West African Trade
- Islam Promotes Learning in West Africa
- Traders Bring Islam to West Africa
- West African Traditions Shape the Americas
- West Africans Build Cities with Iron and Trade
Chapter 5: Imperial China
- China Weaponizes Gunpowder
- China Revolutionizes Production and Information
- Foundations of Exchange: Goods on the Silk Road
- Foundations of Exchange: The Maritime Silk Road
- Foundations of Exchange: Ideas and Cultural Diffusion
- China's Cities Become Centers of Commerce
- Trade and Innovation Create Wealth
- Marco Polo's Travels Fuel European Curiosity
- Context: The Qin Dynasty's Unification and Rule by Law
- Prosperity Restricts Urban Women
- Case Study: The Openness of the Yuan Dynasty
- Global Impact of Chinese Inventions: The Magnetic Compass
- Chinese Inventions Reshape Daily Life
- The Ideal of **Meritocracy**: Choosing Officials by Ability
- Chinese Innovators Improve Travel by Land and Sea
- The Ming Dynasty: From Exploration to Isolation
- The Han Dynasty Introduces Civil Service Exams
- New Rice Feeds a Growing China
- Wealthy Families Dominate Tang Government
- The Mandate of Heaven and the Dynastic Cycle
Chapter 6: Japan During Medieval Times
- The Japanese Adapt Chinese Writing
- Japanese Feudalism: A Comparison with Europe
- Rank Dictates Life in the Heian Court
- Heian Culture Finds a Japanese Voice
- Samurai Master the Sword and the Brush
- Japan Adopts Chinese Government and City Design
- Samurai Society Redefines Women's Roles
- Nobles Rule from Behind the Throne
- Japanese Blend Buddhism and Shinto
- The Samurai and the Code of Bushido
- The Rise of the Shogunate
- Prince Shotoku and Selective Borrowing
- Warrior Clans Challenge the Court
- A New Capital Sparks a Golden Age
- Japan Imports New Art and Music
Chapter 7: Civilizations of the Americas
- Aztecs Honored Gods with Rituals
- Aztecs Build an Island Capital
- Incas Connect a Sprawling Empire
- The Aztecs Forge an Empire
- Trade and Tribute Fueled the Aztec Economy
- Maya Achievements in Science and Writing
- The Inca Built a Social Pyramid
- The Mexica Settle the Valley of Mexico
- Inca Master the Andes with Ingenuity
- Societies Preserve Knowledge with Stories
- Tenochtitlán Became a Cultural Crossroads
- Introduction: The Rise of the Inca Empire
- Aztec Families Defined Social Roles
- Aztecs Engineer a City on a Lake
- Aztec Society Was Organized into Different Social Levels
- Incas Honor the Sun God
- Maya Government and Social Structure
- Understanding Social Pyramids: The Egyptian Model
- Aztecs Control an Empire Through Tribute
- Incas Organize Labor Through Ayllus
- The Mexica Found Their Capital City
- Inca Achievements: Engineering a Vast Empire
- Peasants Structure Daily Life
- The Role of Religion in Maya Life
- Rise of Civilizations: The Maya
Chapter 8: The Medieval World, 1200-1490
- Portugal Leads the Way
- Kublai Khan and the Yuan Dynasty
- The Venetian Monopoly Spurs the Search for New Routes
- New Technology Enables Ocean Voyages
- The Mongol Empire Declines and Fractures
- The Mongol Empire: Conquest and Connection
- Conflict Over Trade and Religion: The Reconquista
- The Revival of Long-Distance Trade in Europe
Chapter 9: Europe's Renaissance and Reformation
- Reformers Create New Churches
- Renaissance Writers Reach New Audiences
- Artists Blend Science and Classical Ideals
- Medici Money Fuels Florentine Culture
- Religious Divisions Spark Conflict
- Italian City-States Fund the Renaissance
- The Catholic Church Reforms and Responds
- Early Reformers Challenge the Church
- Case Study: Elizabeth I Challenges Spain's Dominance
- Brunelleschi Designs Florence's Dome
- The Reformation Reshapes Government
- Conflicts Weaken the Catholic Church
- Martin Luther and the Ninety-Five Theses
- Florentine Artists Capture Realism and Emotion
- The Spark of the Reformation: Martin Luther's Challenge
- How Wealth Fueled the Italian Renaissance
- Martin Luther and the Start of the Reformation
- Thinkers Celebrate the Individual
- The Reformation Spreads: England and Beyond
- The Rise of Nations: Monarchs Consolidate Power
- Wealth, City-States, and Patrons: The Italian Renaissance Begins
- Trade and Technology Spread New Ideas
Chapter 10: Europe Enters the Modern Age
- The Enlightenment's Impact Spreads to France
- Case Study: The Fall of the Aztec Empire
- New Tools and Teams Advance Science
- Shift in Power: The Defeat of the Spanish Armada
- The Enlightenment and the Idea of Natural Rights
- Case Study: Astronomers Remap the Heavens
- Thinkers Question Old Ideas
- Portugal Leads the Way: Prince Henry and the Route to India
- Technological Advances of the Age of Exploration
- Applying Enlightenment Ideas: The Declaration of Independence
- Newton Unifies the Cosmos
- The Declaration's Philosophy: Social Contract and Self-Determination
- The New Scientific Method
- Causes of Exploration: God, Glory, and Gold
- The Enlightenment: Applying Reason to Society
Illustrative Mathematics, Grade 7
8 chapters, 30 skills
▶
Illustrative Mathematics, Grade 7
8 chapters, 30 skills
Chapter 1: Scale Drawings
Chapter 2: Introducing Proportional Relationships
Chapter 3: Measuring Circles
Chapter 4: Proportional Relationships and Percentages
Chapter 5: Rational Number Arithmetic
Chapter 6: Expressions, Equations, and Inequalities
- Core Properties for Equivalent Expressions
- Identifying Relationships Modeled by $px+q=r$
- Solving Equations of the Form px+q=r
- Two Methods for Solving p(x+q)=r
- Solving Equations of the Form px+q=r Algebraically
- Equivalent Equations for the Same Situation
- Distinguishing Between One-Time and Repeated Additions
- Contrasting Solutions of Equations and Inequalities
Chapter 7: Angles, Triangles, and Prisms
Chapter 8: Probability and Sampling
IMPACT California Social Studies, Grade 7
11 chapters, 128 skills
▶
IMPACT California Social Studies, Grade 7
11 chapters, 128 skills
Chapter 1: Rome and the Rise of Christianity
- Justinian's Campaigns Weaken the Empire
- Romans Occupy Judaea and Fuel Messianic Hopes
- Monks Spread Christianity Across Europe
- An Emperor Governs the Church
- Leaders Organize the Church
- Christian Beliefs Challenge Roman Rule
- Byzantines Express Power Through Art
- Germanic Tribes Pressure the Empire
- Rome's Legacy Shapes Europe
- The Pax Romana Crumbles
- A New Faith Gains Followers
- Emperors Reform the Roman Empire
- Justinian and Theodora Strengthen the Empire
- Constantinople's Location Fuels an Empire
- The Empire Forges a New Culture
Chapter 2: Medieval Europe
- The Church Creates Centers of Learning
- England Limits Royal Power
- Christian Monarchs Unify Spain
- Geography Shapes European Kingdoms
- European Armies March to the Holy Land
- Rival Popes Challenge Church Authority
- Knights Pledged Service for Land
- Moscow Rises from Mongol Rule
- Thinkers Reconcile Faith and Reason
- War and Heroes Shape New Kingdoms
- Storytellers Use Everyday Language
- Builders Reach for the Heavens
- The Black Death Reshapes European Society
- The Franks Build a Kingdom
- New Invasions Weaken European Kingdoms
- Farming Improvements Feed a Growing Europe
- The Church Expands and Enforces Its Power
- Trade Revives Towns and Creates a Middle Class
- Interaction Changes Medieval Society
- French Kings Build a Powerful Nation
Chapter 3: Islamic Civilization
Chapter 4: India in the Middle Ages
- The Delhi Sultanate Governs Northern India
- Buddhism Develops New Branches
- Mughals Build a Gunpowder Empire
- Pilgrims Spread Beliefs
- Intolerance Weakens the Mughal Empire
- Indian Religions Follow Ocean Trade Routes
- Akbar Unites the Empire Through Culture
- The Cholas Build a Maritime Empire
- Invasions and Conflicts Weaken the Gupta Empire
Chapter 5: Imperial China
- The Sui Dynasty Reunites China
- The Mongol Empire Creates a Period of Peace
- The Ming Dynasty Encounters Europe and Falls
- The Tang Dynasty Suppresses Buddhism
- Emperors Promote Neo-Confucianism
- China Prints Money for a Growing Economy
- Hong Wu Founds the Ming Dynasty
- Ming Writers Reach New Audiences
- Ming Emperors Rebuild the State
- Poets and Painters Define a Golden Age
- The Tang Dynasty Expands and Declines
- Genghis Khan Forges an Empire
- Song China Creates Wealth and Culture
- Mongols Turn Steppe Skills into Military Might
- Chinese Inventors Create New Technologies
Chapter 6: The Civilizations of Korea and Japan
- Koreans Create a Unique Cultural Identity
- Korea's Geography Creates a Cultural Bridge
- Geography Shapes Early Japanese Society
- Japan Develops a Unique Culture
- A Clan Creates an Imperial Dynasty
- Shoguns Organize Japanese Society
- Koreans Defend Against Invasion with Technology
- Korean Rulers Adopt Chinese Governance
- Korea Unites Under Powerful Dynasties
Chapter 7: The Americas
Chapter 8: African Civilizations
- Europeans Expand the African Slave Trade
- Islam Influences West African Empires
- African Women Hold Diverse Roles
- Mali Builds a Golden Age
- African Traditions Shape New Cultures
- Leaders Expand Empires and Spread Islam
- West African Kings Organize Empires
- West African Kings Held Public Hearings
- Bantu Migrations Spread Culture and Technology
- Traditional Religions Shaped Daily Life
- Africans Build Society Around Family
- New Empires Control Africa's Trade
Chapter 9: World Religions
- Sikh Gurus Establish a Formal Faith
- Guru Nanak Founds a New Faith
- Sufi Missionaries Spread Islam
- Guru Gobind Singh Forms the Khalsa
- A Disagreement Splits Islam
- The Thirty Years' War Reshapes Europe
- France Establishes Limited Religious Freedom
- Spain Enforces Catholic Unity
- Guru Nanak Challenges Social Order
- Sikhs Resist Mughal Persecution
- Safavids Use Gunpowder to Build an Empire
- Henry VIII Creates a New Church
- Shah Abbas Builds a Golden Age
- John Calvin Influences Religion and Government
Chapter 10: New Ideas
- Wollstonecraft Demands Equal Rights for Women
- Italian Cities Control Asian Trade
- City-States Forge a New Political World
- Scholars Build on Ancient Ideas
- French Thinkers Challenge Traditional Rule
- Monarchs Adopt Enlightenment Ideas
- Thinkers Debate Government's Power
- Thinkers Uncover Nature's Secrets
- Artists Bring Art to Life
- The Church Challenges New Science
- The Renaissance Moves North
Chapter 11: Age of Exploration and Trade
OpenStax Algebra and Trigonometry
7 chapters, 23 skills
▶
OpenStax Algebra and Trigonometry
7 chapters, 23 skills
Chapter 1: Prerequisites
Chapter 2: Equations and Inequalities
Chapter 3: Functions
Chapter 4: Linear Functions
Chapter 7: The Unit Circle: Sine and Cosine Functions
Chapter 11: Systems of Equations and Inequalities
Chapter 13: Sequences, Probability, and Counting Theory
Pengi Math (Grade 7)
5 chapters, 8 skills
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Pengi Math (Grade 7)
5 chapters, 8 skills
Chapter 2: Rational Numbers and Exponents
Chapter 4: Percents and Financial Applications
Chapter 6: Equations and Inequalities
Chapter 9: Statistics - Sampling and Inferences
Chapter 10: Probability Models and Compound Events
Pengi Social Studies (Grade 7)
10 chapters, 103 skills
▶
Pengi Social Studies (Grade 7)
10 chapters, 103 skills
Chapter 1: The Byzantine Empire
- The West Falls While the East Survives
- The Architectural Marvel: Hagia Sophia
- Cause of the Schism: The Struggle for Papal Authority
- Constantinople's Location Fuels an Empire
- Justinian and Theodora Strengthen the Empire
- The Great Schism: A Divided Church
- The Shield of the Empire: Walls and Greek Fire
- Cause of the Schism: The Iconoclast Controversy
- Justinian Organizes Roman Law
- The Eastern Empire Forges a New Identity
Chapter 2: The Islamic World
- Sources of Authority: Qur'an and Sunnah
- Tolerance and the People of the Book
- Baghdad and the House of Wisdom
- The Spread of Empire: Umayyads and Abbasids
- Legacy of Innovation: Math, Science, and Medicine
- Tribes and Trade Shape Pre-Islamic Arabia
- The Prophet Muhammad and the Hijrah
- The Five Pillars Guide Muslim Life
Chapter 3: Civilizations of South Asia & Trade
Chapter 4: Imperial China
- Innovations in Economy and Knowledge
- Kublai Khan and the Yuan Dynasty
- The Pax Mongolica and the Black Death
- Champa Rice and the Agricultural Revolution
- The Scholar-Official Class and Neo-Confucianism
- Genghis Khan and the Mongol War Machine
- Technology Transforms Warfare and Navigation
- Isolationism and the Great Wall
- The Voyages of Zheng He and the Tribute System
Chapter 5: Feudal Japan
Chapter 6: Civilizations of West Africa
Chapter 7: Medieval Europe
- The Struggle for Power: The Investiture Controversy
- Faith and Reason: The Rise of Universities
- The Feudal Pyramid: Lords and Vassals
- The Rise of Parliament
- Scholarship in Al-Andalus: Maimonides
- Impact: Trade and the Commercial Revolution
- Council of Clermont: Pope Urban II's Call
- The Church as the Center of Daily Life
- The Crusades: Victories and Failures
- The Reconquista: The Struggle for Spain
- The Hundred Years' War and Nationalism
- The Black Death: A Continental Catastrophe
- Economic Shift: The End of Serfdom
- The Magna Carta: Limiting the King
- The Manorial System: Peasants and Serfs
- Legal Rights: Habeas Corpus and Due Process
- The Inquisition and Religious Unity
- The Age of Chivalry: Knights and Warfare
Chapter 8: Civilizations of the Americas
- Mayan Science: Math, Astronomy, and Writing
- Administration: Quipu and the Mita System
- Engineering the Empire: Roads and Bridges
- The Classic Period and City-States
- Tenochtitlán: The City on the Lake
- Rainforest Geography and Agriculture
- Empire of War and Tribute
- Social Hierarchy and Religion
- Adapting to the Andes: Terrace Farming
Chapter 9: The Renaissance and Reformation
- Spreading Ideas: The Bible and Dissent
- The Power of the Vernacular
- The Council of Trent: Internal Reform
- Martin Luther and Justification by Faith
- The Cradle of the Renaissance: Florence and the Medici
- Seeds of Dissent: Wycliffe, Hus, and Erasmus
- Enforcing Conformity: The Inquisition
- Gutenberg’s Revolution: The Printing Press
- The Jesuits: Education and Global Missions
- Calvinism and the Roots of Federalism
- Humanism and the Revival of Classics
- The Reformation Spreads: England and Beyond
- The Artistic Revolution: Perspective and Realism
Chapter 10: The Early Modern World
- Roots of the Revolution: Empiricism and Rationalism
- New Economic Systems: Mercantilism and Capitalism
- Columbus and the New World
- Technology of the High Seas
- Magellan and the First Circumnavigation
- The Triangular Trade and Middle Passage
- Uncovering Nature’s Laws: Newton and Vesalius
- Motivations for Exploration: God, Gold, and Glory
- The Heliocentric Theory: Copernicus and Kepler
- The Origins of Chattel Slavery
- Galileo and the Church
- Portugal Leads the Way
- The Columbian Exchange: Biological Transfer
Reveal Math, Accelerated
11 chapters, 61 skills
▶
Reveal Math, Accelerated
11 chapters, 61 skills
Unit 2: Proportional Relationships
Unit 3: Solve Problems Involving Percentages
- Application: Solving Percent Word Problems
- Solving for the Unknown: Finding the Part
- Multiplicative Shortcuts for Markups and Discounts
- Identify the Reference Value for Percent Error
- Calculate Final Balance or Total Amount Paid
- Translate Simple Interest Word Problems
- Calculate Principal Given Interest Rate and Final Balance
- Calculate Interest Rate Given Principal and Final Balance
- Interpret Percent Error and Tolerances
Unit 4: Sampling and Statistics
Unit 5: Solve Problems Involving Operations with Integers and Rational Numbers
Unit 6: Congruence and Similarity
Unit 7: Work with Linear Expressions
Unit 8: Solve Problems Using Equations and Inequalities
Unit 10: Probability
Unit 11: Angles
Unit 12: Area, Surface Area, and Volume
- Rounding Strategies to Avoid Compounding Errors
- Cube Roots of Perfect Cubes
- Solving Real-World Circumference Problems
- Areas of Similar Cross Sections
- Manual Decimal Refinement of Square Roots
- Calculating Voltage Using Square Roots
- Estimating Sector Area Using Triangles
- Dimensions of Cross Sections Using Similarity
- Deriving Circle Area via Parallelogram
Unit 13: Irrational Numbers, Exponents, and Scientific Notation
- Proving 0.999... = 1
- Converting Mixed Numbers to Decimals
- Avoiding Common Errors in Comparisons
- Application: Solving Contextual Problems with Exponents
- Comparing Terminating and Repeating Decimals
- Simplifying Expressions with Different Bases
- Application: Applying Exponent Rules to Scientific Notation
- Applying and Comparing Decimal Conversions
- Modeling Repeated Doubling with Exponents
Saxon Math, Course 2
8 chapters, 384 skills
▶
Saxon Math, Course 2
8 chapters, 384 skills
Chapter 1: Lessons 1-10, Investigation 1
- Reciprocals
- Writing Division Answers as Mixed Numbers
- Commutative Properties
- Inverse Property of Multiplication
- Sequences
- Identity Properties
- Greatest Common Factor (GCF)
- Math Language
- Expanded Notation
- Angle
- Lines, Angles and Planes
- From Fractions to Percents
- Equation
- Operations of arithmetic
- Writing Division Answers as Mixed Numbers
- Place Value Through Hundred Trillions
- Inch ruler
- Associative Properties
- Variables
- Finding an Unknown Factor
- Parallel lines
- Permutation
- Factors
- Improper Fractions
- Line: Definition and Properties
- Divisibility
- Adding, Subtracting, and Multiplying Fractions
- Property of Zero for Multiplication
- Place Value Through Hundred Trillions, Reading and Writing Whole Numbers
- Factors, Divisibility
- Number Line, Sequences
- Investigation 1: Investigating Fractions and Percents with Manipulatives
- Adding fractions
- Arithmetic with Whole Numbers and Money
- Properties of Operations
- Fractions and Percents
- Spotting Equivalent Fractions
- Number Line
- Reading a Number Line
- Combining Different Fraction Pieces
- Perpendicular lines
- Fractions and percents
- Multiplying fractions
- Variable
- Arithmetic sequences
- Geometric sequence
- Unknown Numbers in Addition, Subtraction, Multiplication, and Division
- Finding an Unknown Addend
- Reading and Writing Whole Numbers
- Sequence
- Finding a Fraction of a Fraction
- Converting Mixed Numbers to Improper Fractions
- Finding an Unknown Dividend
Chapter 2: Lessons 11-20, Investigation 2
- U.S. Customary System
- Perimeter
- Equivalent fractions
- Congruent Figures
- Square Root
- Regular polygon
- Find a Pattern
- Introduction to Function Tables
- Perimeter
- Problems About Combining, Problems About Separating
- Investigation 2: Using a Compass and Straightedge, Part 1
- Fahrenheit temperature scale
- Reduce
- Finding side length from perimeter
- Simple Probability
- Formulas for Area
- Problems About Equal Groups
- U.S. Customary System, Function Tables
- Measuring Angles with a Protractor
- Problems About Comparing, Elapsed-Time Problems
- Polygons, Similar and Congruent
- Exponents, Rectangular Area, Part 1, Square Root
- Polygon
- Degrees
- Inscribed Polygon Definition & Regular Hexagon Construction
- Complementary events
- Percents as fractions
- Problems about combining
- Exponents
- Problems About Parts of a Whole, Simple Probability
- Equal groups formula
- Protractor
- Equivalent Fractions, Reducing Fractions, Part 1
- Elapsed-Time Problems
- Finding the number in each group
- Problems about separating
- Problems About Comparing
- Classifying Angles by Measure
- Finding the number of groups
- Similar Figures
- Concentric circles
- Central angle
- Understanding the problem plot
- Dividing a circle into sectors
- Problems about parts of a whole
Chapter 3: Lessons 21-30, Investigation 3
- Regrouping with Percents
- Common Denominators, Adding and Subtracting Fractions with Different Denominators
- Mean
- Factor Tree
- Dividing One by a Fraction
- Greatest common factor
- Multiples
- Equivalent division problems
- Prime Factorization
- Adding and Subtracting Fractions with Different Denominators
- Coordinate plane
- Rounding Mixed Numbers
- Dividing Mixed Numbers
- Compound fraction
- Least common multiple
- Two-Step Word Problems, Average, Part 1
- Procedure: Finding GCF using Prime Factorization
- Finding a fraction of a group
- Average
- Quadrants
- Common Denominators
- Prime and Composite Numbers
- Rounding Whole Numbers
- Prime and Composite Numbers, Prime Factorization
- Dividing Fractions
- Subtracting Mixed Numbers with Regrouping
- Multiplying and Dividing Mixed Numbers
- Investigation 3: Coordinate Plane
- Rounding Whole Numbers, Rounding Mixed Numbers, Estimating Answers
- Multiples, Least Common Multiple, Equivalent Division Problems
- Changing percents to fractions
- Finding perimeter and area
- Multiplying Mixed Numbers
- Reducing before multiplying
- Subtracting from a Whole
- Squaring a Mixed Number
- Using Prime Factorization to find LCM
- Reducing Fractions, Part 2
- Multiply by the Reciprocal
- Problems About a Fraction of a Group
- Perimeter of a square
- Regrouping Mixed Numbers
- Using prime factorization to reduce
- Estimating Answers
- Find LCM with prime factorization
- Two-Step Word Problems
Chapter 4: Lessons 31-40, Investigation 4
- Multiplying Decimal Numbers
- Ratio
- Rounding Decimals
- Stem-and-leaf plot
- Box-and-whisker plot
- Lessons 32: Metric System
- Decimal Numbers on the Number Line
- Adding and Subtracting Decimals
- Celsius
- Median
- Finding the Halfway Point
- Metric system
- Parts of a Whole with Circle Graphs
- Complementary angles
- Decimal fractions
- Sample Space
- Converting Metric Units With Decimals
- Congruent
- Solving Proportions
- Liter
- Proportion
- Place value
- Lessons 36: Ratio, Sample Space
- Lessons 33: Comparing Decimals, Rounding Decimals
- Lessons 38: Interpreting Graphs
- Lessons 34: Decimal Numbers on the Number Line
- Investigation 4: Stem-and-Leaf Plots, Box-and-Whisker Plots
- Lessons 35: Adding, Subtracting, Multiplying, and Dividing Decimal Numbers
- Vertical angles
- Lessons 37: Area of a Triangle, Rectangular Area, Part 2
- Lessons 31: Reading and Writing Decimal Numbers
- Lessons 40: Sum of the Angle Measures of a Triangle, Angle Pairs
- Thinking Skill: Generalize
- Cross Product
- Fundamental Counting Principle
- Comparing with Bar Graphs
- Area of a Triangle
- Comparing Decimals
- Kilogram
- Supplementary angles
- Finding Area with Subtraction
- The Magic 180°: Triangle Angle Sum Theorem
- Writing decimal numbers
- Reading Pictographs
- Rectangular Area, Part 2
- Lessons 39: Proportions
- Dividing Decimal Numbers
- Showing Trends with Line Graphs
- Ordering Decimal Numbers
- Reading decimal numbers
Chapter 5: Lessons 41-50, Investigation 5
- Repetend
- Converting With Unit Multipliers
- Rounding Repeating Decimals
- Convert Percents to Decimals
- Equivalent Division Problems
- Dividing by a Decimal Number
- Rules of Exponents
- Division into Decimals
- Unit multipliers
- Unit Price
- Converting Fractions to Decimals
- Circle graph
- Dividing by Powers of 10
- Solving Equations with Decimal Coefficients
- Division as a Mixed Number
- Histogram
- Fraction-Decimal-Percent Equivalents
- Division with a Remainder
- Using Formulas
- Rate
- Mixed Measure
- Decimals To Percents
- Mathematical Foundations: Numbers, Shapes, and Data
- Unit Multipliers and Unit Conversion
- Dividing by a Decimal Number
- Powers of 10
- Converting Decimals to Fractions, Converting Fractions to Decimals, Converting Percents to Decimals
- Division Answers
- Rates
- Adding and Subtracting Mixed Measures
- Using Formulas, Distributive Property
- Subtracting Mixed Measures
- Double-line graph
- Interpreting Division for Word Problems
- Repeating Decimals
- Distributive Property
- Two ways to simplify
- Converting Rates
- Comparing Repeating Decimals
- Fractions To Percents
- Canceling
- The Distance Formula
- Percents To Fractions And Decimals
- Converting Decimals to Fractions
- Adding Mixed Measures
- Multiplying by Powers of 10
Chapter 6: Lessons 51-60, Investigation 6
- Fractional part of a number, part 1
- Scientific Notation for Small Numbers
- Symmetry
- Adding on the number line
- Trapezoid
- Finding the Total from an Average
- Finding the Better Buy
- Rotational symmetry
- Finding a Missing Number
- Calculating Total Price With Tax
- Absolute value
- Coordinates
- Writing Function Equations
- Increasing Knowledge
- Investigation 6: Classifying Quadrilaterals
- Plotting Functions
- Reflective symmetry
- Reading Math
- Negative Exponents
- Analyze
- Foundations of Mathematics
- Translating Words into Math
- Welcome to Saxon Math
- Negative Exponents and Scientific Notation
- Reaching a New Average
- Foundations of Mathematical Reasoning
- Symbols of inclusion
- Kite
- The sum of two opposites
- Scientific to Standard Form
- Integers
- Calculating Hourly Pay
- Graphing a Continuous Function
- Finding Fuel Needed
- Scientific notation
- Parallelogram
- The Structure of Mathematics
- Symmetry on a coordinate plane
- Adding Integers on the Number Line
- The Zero Exponent
- Average and Rate Problems with Multiple Steps
- Rhombus
- Order Of Operations
- Finding a Rule From a Graph
- Standard to Scientific Form
- Percent of a number, part 1
- Solving For Distance
- Evaluating Expressions
Chapter 7: Lessons 61-70, Investigation 7
- Finding All The Actual Counts
- Isosceles triangle
- Angle-Side Relationship
- Properties of equality
- The Opposite of an Opposite
- Symbols of inclusion
- Division bar
- Proper Form of Scientific Notation
- Adding Multiple Signed Numbers
- Algebraic addition
- Net
- Polyhedron
- Balanced Equations
- Adding Positive and Negative Numbers
- Ratio Problems Involving Totals
- Balanced Equations
- Surface Area
- Opposites
- Calculating With Pi
- Base and height
- Classifying Triangles
- Algebraic Addition
- Geometric Solids
- Angles of a parallelogram
- Converting Decimals To Scientific Notation
- Area of a Parallelogram, Angles of a Parallelogram
- Area of a parallelogram
- Circumference and Pi
- Circumference From Radius
- Isolating the Variable
- Solving Proportions With Totals
- Volume of a Rectangular Prism
- Equilateral triangle
- The sum of two opposites is zero
- The sum of two numbers with the same sign
- The Magical Number Pi
- Absolute Value Symbols
- Volume
- Scientific Notation With Negative Exponents
- Proper Form of Scientific Notation
- Prism
- Symbols of Inclusion
- Scalene triangle
- Volume of a Cube
- Multiply by the reciprocal
- Volume
- Coefficient
- The sum of two numbers with opposite signs
- Using Totals In Ratio Problems
- Volume of a Composite Solid
Chapter 8: Lessons 71-80, Investigation 8
- Rotation
- Translating Words to Equations
- Finding the unknown fraction
- Translating words to equations
- Complex fraction
- Area of a trapezoid
- Probability and odds
- Keep Units Consistent
- Using Equations To Find The Whole
- Dilation
- Finding the unknown total
- Finding the Missing Percent
- Multiplication as Repeated Addition
- Graphing With an Empty Circle
- Estimate Area
- Finding the Whole Group When a Fraction is Known
- Estimating Areas
- Finding The Whole With Diagrams
- Simplifying Complex Fractions
- Cross multiply
- Multiplying and Dividing Positive and Negative Numbers
- Area of a Complex Figure, Area of a Trapezoid
- Investigation 8: Probability and Odds, Compound Events, Experimental Probability
- Complex Fractions
- Rules For Multiplying And Dividing Positive And Negative Numbers
- Estimating area on a grid
- Fractional Part of a Number, Part 2
- Graphing Inequalities
- Translation
- Compound events
- Implied Ratios
- Percent of a Number, Part 2
- Multiplying Two Negative Numbers
- Reflection
- Area of a complex figure
- Finding the Whole Number
- Estimate with whole and half squares
- Percents With Fractions
- Finding The Whole From The Leftovers
- Transformations
- Inequalities
- Experimental probability
- Transformations
- Solving With Ratio Boxes
- Graphing With a Solid Dot
- Investigation 8: Probability and Odds, Compound Events, Experimental Probability
Yoshiwara Intermediate Algebra
8 chapters, 94 skills
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Yoshiwara Intermediate Algebra
8 chapters, 94 skills
Chapter 1: Linear Models
- The Core Formula: Slope and Y-Intercept
- Understanding Solutions of Two-Variable Equations
- Linear model
- Point-Slope Form
- Graphical solution of equations
- Slope of a Line
- Equation from two points
- Graphical solution of equations
- Rate of Change
- Intercepts of a graph
- Lines Have Constant Slope
- Mathematical model
- Interpreting Slope as a Rate
- Linear models
- Slope as rate of change
Chapter 2: Applications of Linear Models
Chapter 3: Quadratic Models
Chapter 4: Applications of Quadratic Models
Chapter 5: Functions and Their Graphs
- Function Notation
- Functions Defined by Tables
- Distance and Absolute Value
- Absolute Value
- Definition of Function
- Inverse variation
- Reciprocal Functions and Asymptotes
- Evaluating a Function
- The Basic Cubic Function
- Finding the Constant of Proportionality
- Finding a Formula for Direct Variation
- Absolute value
- Solving Absolute Value Equations: Two-Case Method
- Graph of a function
- Constructing a function's graph
- Reading a function's graph
- Direct Variation
- Functions Defined by Equations
- Cube Root
- Function notation and evaluation
- Concavity of Graphs
- Functions Defined by Graphs
Chapter 6: Powers and Roots
- Rational Exponents and Radicals
- Solving Equations with Rational Exponents
- Roots of Negative Numbers
- Solving a Radical Equation
- Using Fractional Exponents to Solve Equations
- Products and Quotients of Radicals
- Rationalizing the Denominator
- Equations with More Than One Radical
- Rational Exponents
- nth Roots
- Operations with Rational Exponents
- Rational Exponents
- Exponential Notation for Radicals
Chapter 8: Polynomial and Rational Functions
- Rational Functions
- Solving Equations with Fractions
- Polynomial Function
- Complex Fractions
- Cube of a Binomial
- Find LCD of Polynomials Using Factorization
- Average Speed on a Two-Part Trip
- Polynomial Division
- Proportions
- Adding and Subtracting Unlike Fractions
- Extraneous Solutions
- Degree of a Product
- Reducing Algebraic Fractions