Amplify Science (California) Grade 4
Science
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AI tutoring for 4th graders covering math, science, history, and vocabulary. Interactive lessons aligned to top school textbooks.
AoPS: Introduction to Algebra (AMC 8 & 10)
AMC Math
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California myWorld Interactive, Grade 4
History
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Discovering Our Past: a History of the World
History
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enVision, Mathematics, Grade 4
Math
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Eureka Math, Grade 4
Math
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Pengi Math (Grade 4)
Math
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Pengi Social Studies (Grade 4)
History
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Saxon Math, Intermediate 4
Math
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Science: A Closer Look (Grade 4)
Science
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Social Studies Alive! California's Promise
History
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Social Studies Alive! Regions of Our Country
History
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The Art of Problem Solving: Prealgebra (AMC 8)
AMC Math
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Vocabulary from Classical Roots (Book 6)
Vocabulary
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Vocabulary from Classical Roots (Book A)
Vocabulary
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Vocabulary Workshop, Level Blue (Grade 4)
Vocabulary
Start Learning →4th Grade Skills (1193)
Amplify Science (California) Grade 4
17 chapters, 106 skills
▶
Amplify Science (California) Grade 4
17 chapters, 106 skills
Chapter 1: What happened to the electrical system the night of the Ergstown blackout?
Chapter 2: What makes the devices in Ergstown output energy or fail to output energy?
Chapter 3: Where does the electrical energy for the devices in Ergstown come from?
Chapter 4: How does energy get to the devices all over Ergstown?
Chapter 1: How does a Tokay gecko get information about its environment?
Chapter 2: How does light allow a Tokay gecko to see its prey?
Chapter 3: How does a Tokay gecko know that it is looking at its prey?
Chapter 4: How could more light at night make it hard for a Tokay gecko to see its prey?
Chapter 5: How do our senses help us understand our environment?
Chapter 1: How did the fossil get inside the rocky outcrop?
Chapter 2: What was the environment of Desert Rocks National Park like in the past?
Chapter 3: What is the order of the past environments of Desert Rocks National Park?
Chapter 4: Why did more rock layers get exposed in Desert Rocks Canyon than in Keller’s Canyon?
Chapter 1: How does a mother dolphin communicate with her calf across a distance?
Chapter 2: How does sound energy travel through water from a mother dolphin to her calf?
Chapter 3: How does a dolphin calf know which call is his mother’s call?
Chapter 4: How can humans use patterns to communicate?
AoPS: Introduction to Algebra (AMC 8 & 10)
1 chapters, 3 skills
▶
AoPS: Introduction to Algebra (AMC 8 & 10)
1 chapters, 3 skills
Chapter 9: Introduction to Inequalities
California myWorld Interactive, Grade 4
8 chapters, 81 skills
▶
California myWorld Interactive, Grade 4
8 chapters, 81 skills
Chapter 1: California's Geography
- Regions Developed Different Industries
- Extreme Weather Challenges Californians
- Californians Adapt to Diverse Environments
- Californians Manage Resources and Prepare for Dangers
- Californians Changed the Land to Use Its Resources
- Climate Determines California's Resources
- Californians Built to Suit the Land
- Geography Separated California
- People Protected California's Nature
- Historians Read Maps for Geographic Clues
Chapter 2: California's Early History
Chapter 3: Missions and Mexican Rule
Chapter 4: The Gold Rush and Statehood
Chapter 5: California After Statehood
- Newcomers and Reasons to Move
- Technology Transforms California Farming
- The Golden Spike and a Changed West
- New Crops and Workers Transform Farms
- Leaders Plan the Transcontinental Railroad
- Newcomers and Reasons to Move to California
- Asian Immigrants Fight for Rights and Angel Island
- The Government Restricts Asian Immigration
- Farms and Mines Fuel New Industries
- The Government Restricts Asian Immigration
- Immigrants Seek a New Life in California
- Asian Immigrants Encounter Racism
- Fighting for Rights
- Angel Island: The "Guardian" of the West
Chapter 6: California in a Time of Expansion
Chapter 7: California in the Postwar Era
- Students Demand a Voice and New Histories
- Freeways Connect California
- Growth Brought Environmental Challenges
- Immigrants Arrive from Many Countries
- Private Universities Offer More Choices
- Communities Formed School Districts
- California Builds Its College System
- California Universities Launch Careers
- California Builds an Entertainment Industry
- Post-War Boom Diversifies California's Economy
- New Machines Change California Farming
- People Seek Safety and Opportunity in California
- Entertainment Industries Grow in California
- Immigrants Enriched California and Faced Opposition
- Diverse Groups Fight for Their Rights
- California Builds Its Public School System
- California Sets Cultural Trends
- Creative People Shape Hollywood
- A Changing California Faces New Challenges
- Arts and Sports Enrich California
Chapter 8: California's Government
- Counties Provide Local Services
- Citizens Shape Their Communities
- Citizens Use Direct Power
- The Constitution Limits Government Power
- Branches Balance Government Power
- Communities Form City Governments
- State Government Serves California's Communities
- Communities Manage Local Schools
- California Writes Its Own Plan for Government
enVision, Mathematics, Grade 4
14 chapters, 78 skills
▶
enVision, Mathematics, Grade 4
14 chapters, 78 skills
Chapter 1: Generalize Place Value Understanding
Chapter 2: Fluently Add and Subtract Multi-Digit Whole Numbers
- Adding Multi-Digit Numbers
- Using Properties for Mental Addition
- Multi-digit Addition with Place Value Alignment
- Adding Three or More Numbers
- Understanding Compensation
- Adding Whole Numbers Using Partial Sums
- Regrouping Across Zeros: The Role of 9s
- Finding Differences by Counting Up or Down
- Subtracting with Multiple Regroupings
- Checking Subtraction with Addition
Chapter 3: Use Strategies and Properties to Multiply by 1-Digit Numbers
- Applying the Distributive Property
- Strategy 2: Applying the Associative Property
- Calculate Partial Products
- Strategy 1: Use Unit Form
- Find Partial Products from a Decomposed Array
- Estimating Products Using Compatible Numbers
- Find Partial Products from a Decomposed Array
- Calculate Partial Products
- Introduction: Representing Multiplication with an Area Model
- Estimating Products by Rounding
- Strategy 2: Applying the Associative Property
- Breaking Apart and Rearranging Factors
- Choosing the Right Multiplication Strategy
- Estimating Products Using Rounding
- Representing Multiplication with an Area Model
Chapter 4: Use Strategies and Properties to Multiply by 2-Digit Numbers
- Multiplying When the Basic Fact Ends in Zero
- Area Model with Four Partial Products
- Estimating Products Using Compatible Numbers
- Connection: Matching Partial Products to the Area Model
- Multiplying When the Basic Fact Ends in Zero
- Estimating Products Using Rounding
- Multiply Using Four Partial Products
- Step 2: Find Partial Products Using the Area Model
Chapter 5: Use Strategies and Properties to Divide by 1-Digit Numbers
- Using Partial Quotients to Record Sharing
- Choosing Compatible Numbers for Estimation
- Place Value Patterns in Division
- Choosing a Division Strategy
- Estimate Quotients Using Compatible Numbers
- Regrouping in Place Value Division
- Estimating Quotients Using Compatible Numbers
- Applying the Partial Quotients Algorithm
- Calculating Division with a Remainder
- Divide Multiples of 10 Using Patterns
Chapter 6: Use Operations with Whole Numbers to Solve Problems
Chapter 7: Factors and Multiples
Chapter 8: Extend Understanding of Fraction Equivalence and Ordering
Chapter 9: Understand Addition and Subtraction of Fractions
Chapter 10: Extend Multiplication Concepts to Fractions
Chapter 11: Represent and Interpret Data on Line Plots
Chapter 12: Understand and Compare Decimals
Chapter 13: Measurement: Find Equivalence in Units of Measure
Chapter 14: Algebra: Generate and Analyze Patterns
Eureka Math, Grade 4
32 chapters, 296 skills
▶
Eureka Math, Grade 4
32 chapters, 296 skills
Chapter 1: Place Value of Multi-Digit Whole Numbers
- Writing Numbers in Word and Expanded Form
- Compose Larger Units through Addition
- Concept: The Placeholder Zero in Multiplication
- Multiplying by 10 by Bundling Units
- Relating Place Value and Multiplication by 10
- Modeling Multiplicative Comparisons on a Place Value Chart
- Place Value Operations with Two Units
- Bundling Place Value Units
- Name large numbers using periods and commas
- Converting from Word Form to Standard and Expanded Form
- Dividing by 10 by Unbundling Units
- Converting from Expanded Form to Standard and Word Form
Chapter 2: Comparing Multi-Digit Whole Numbers
Chapter 3: Rounding Multi-Digit Whole Numbers
- Rounding Whole Numbers Using a Number Line
- Justifying Rounding Choices in Real-World Contexts
- Rounding to the Nearest Ten Thousand and Hundred Thousand
- Rounding to Different Place Values
- Determine Endpoints and Midpoint for Rounding to the Thousands
- Determine the Range of Possible Original Numbers
- Rounding to the Nearest Thousand, Ten Thousand, and Hundred Thousand
- Rounding to the Nearest Thousand on a Vertical Number Line
- Estimating Sums and Differences by Rounding
- Rounding from the Midpoint to the Nearest Thousand
Chapter 4: Multi-Digit Whole Number Addition
Chapter 5: Multi-Digit Whole Number Subtraction
- Modeling Two-Step Word Problems with Tape Diagrams
- Checking Subtraction with Addition
- Modeling Subtraction with Tape Diagrams
- Subtracting Whole Numbers with Multiple Decompositions
- Model Subtraction with Tape Diagrams
- Decomposing Place Value Units
- Decomposing Place Value Units
- Finding a Missing Part by Adding Known Parts
- Subtracting Across Zeros
- Check: Using Estimation to Assess Reasonableness
- Standard Subtraction with Single Regrouping
Chapter 6: Addition and Subtraction Word Problems
- Modeling Comparative Relationships with Tape Diagrams
- Creating Word Problems from Tape Diagrams
- Model an Equation with a Tape Diagram to Create a Word Problem
- Assessing Reasonableness with Rounding
- Solving for an Unknown in Multi-Step Problems
- Modeling Additive Comparisons with Tape Diagrams
- Solving Two-Step Comparison Problems
- Adding and Subtracting Large Numbers
Chapter 7: Metric Unit Conversions
- Converting Between Liters and Milliliters
- Understanding Metric Length Units
- Convert Mixed Mass Units to a Smaller Unit
- Converting Mixed Metric Lengths to a Smaller Unit
- Add and Subtract Mixed Mass Units
- Add Mixed Units of Capacity
- Subtracting Mixed Capacity Units with Regrouping
- Add and Subtract Mixed Metric Lengths
Chapter 8: Application of Metric Unit Conversions
Chapter 9: Multiplicative Comparison Word Problems
- Calculate the Area of a Rectangle and Find a Missing Side
- Relating Rectangle Dimensions to Factor Pairs
- Finding Area, Perimeter, and Unknown Side Lengths of a Rectangle
- Calculate the Area of Composite Shapes by Subtraction
- Solving Multi-Step Comparison Problems with Area and Perimeter
- Calculate Perimeter and Find an Unknown Side Length
- Distinguishing Between Area and Perimeter
- Translate Word Problems for Area and Perimeter
Chapter 10: Multiplication by 10, 100, and 1,000
Chapter 11: Multiplication of up to Four Digits by Single-Digit Numbers
- Understanding Multiplication in Word Problems
- Multiplying with an Area Model
- Multiply and Regroup with Place Value Disks
- Calculating Products Using the Partial Products Algorithm
- Connecting Place Value Disks to Partial Products
- Relating Place Value Regrouping to the Standard Algorithm
- Applying the Standard Algorithm for Multiplication
- From Partial Products to the Standard Algorithm
- Connecting Partial Products to the Standard Algorithm
- Writing Numbers in Expanded Form
Chapter 12: Multiplication Word Problems
Chapter 13: Division of Tens and Ones with Successive Remainders
- Representing Remainders in Division
- Unbundling a Ten for Ones
- Representing Division with Remainders Using an Array Model
- Set Up the Area Model for Division
- Area Model for Division with Remainders
- Representing Division with an Area Model
- Interpreting Quotients and Remainders in Word Problems
- Standard Division Algorithm with Unbundling
- Interpreting Remainders in Word Problems
- Model Division with Place Value Disks
- Combining Parts: The Distributive Property in Division
- Sharing Tens in Division
- Relating the Area Model to the Standard Algorithm
- Distributing Ones to Find the Remainder
- Division with Regrouping in the Tens
- Mental Division Using Multiplication Facts
- Recording Quotients and Remainders
Chapter 14: Reasoning with Divisibility
- Defining Factors and Factor Pairs
- Identifying Even Composite Numbers
- The Factor-Multiple Relationship
- Defining Prime and Composite Numbers
- Decomposing Numbers to Identify Multiples
- Identifying Factors with Division
- Finding New Factors with the Associative Property
- Defining a Multiple
- Finding Prime Numbers Using the Sieve of Eratosthenes
Chapter 15: Division of Thousands, Hundreds, Tens, and Ones
- Decomposing Three-Digit Numbers by Place Value
- Solve Division Using an Area Model
- Divide Using Basic Facts and Place Value
- Two Meanings of Division: Quotative and Partitive
- Executing the Standard Algorithm for Three-Digit Division
- Using Long Division to Find the Unknown
- Standard Algorithm for Long Division with Four-Digit Dividends
- Interpreting Remainders in Division Word Problems
- Relating the Area Model to the Long Division Algorithm
- Interpreting Remainders in Word Problems
- Connecting Place Value Actions to the Division Algorithm
- Finding the Value of One Unit in a Tape Diagram
- Dividing When a Partial Dividend is Smaller than the Divisor
- Dividing a Zero in the Dividend
Chapter 16: Multiplication of Two-Digit by Two-Digit Numbers
- Visualizing the Associative Property on a Place Value Chart
- Concept: Decomposing into Partial Products
- Step 3: Sum Partial Products for the Total Product
- Recording Partial Products Vertically
- Multiplying Multiples of 10
- Representing Multiplication with an Array
- Multiplying 2-Digit Numbers Using the Standard Algorithm
- Grouping Partial Products from an Area Model
- Step 1: Represent Multiplication with an Area Model
- Area Model with Two Partial Products
- Multiplying Using Unit Form
- Multiply Using the Distributive Property
Chapter 21: Decomposition and Fraction Equivalence
- Decompose an Improper Fraction into a Whole Number and a Fraction
- Writing Addition Sentences for Decomposed Fractions
- Decomposing a Fraction into a Sum of Unit Fractions
- Connect Repeated Addition to Multiplication of Fractions
- Decomposing Fractions Using Area Models
- Decompose Fractions Greater Than One
- Decompose a Fraction into a Sum of Fractions
- Representing Decomposed Unit Fractions as Sums and Products
- Modeling Equivalent Non-Unit Fractions
- Decompose an Improper Fraction Using a Tape Diagram
- Representing Fraction Decomposition with Visual Models
- Composing Fractions with Unit Fractions
- Decomposing the Whole (1) into Unit Fractions
Chapter 22: Fraction Equivalence Using Multiplication and Division
- Simplify Fractions Using Area Models and Division
- Decomposing Area Models for Equivalent Fractions
- Simplifying Different Fractions to a Common Fraction
- Simplifying to the Largest Units (Simplest Form)
- Finding Equivalent Fractions by Partitioning a Number Line
- Verify Fraction Equivalence Using Multiplication
- Connect Grouping in Area Models to Division
- Verifying Abstract Multiplication with an Area Model
- Visualizing Equivalent Fractions with Area Models
- Representing Fractions on Tape Diagrams and Number Lines
Chapter 23: Fraction Comparison
- Comparing Fractions with the Same Denominator
- Comparing Fractions with Like Numerators
- Decompose and Locate Improper Fractions on a Number Line
- Compare Fractions Using Whole Number Benchmarks
- Comparing Improper Fractions with Number Bonds
- Choosing a Fraction Comparison Strategy
- Compare Fractions by Proximity to a Benchmark
- Finding Common Denominators with Area Models
- Placing Fractions on a Number Line Using Benchmarks
Chapter 24: Fraction Addition and Subtraction
- Adding and Subtracting Fractions with Like Units
- Convert an Improper Fraction to a Mixed Number Using a Number Bond
- Add Fractions with Related Denominators on a Number Line
- Subtracting a Fraction from a Mixed Number
- Adding or Subtracting Fractions with Like Denominators on a Number Line
- Subtracting Fractions from Mixed Numbers
- Add Fractions with Related Denominators Using Tape Diagrams
- Add Fractions by Making a Whole
- Apply the RDW Process to Fraction Word Problems
- Adding Fractions with Related Denominators
- Adding Fractions with Related Denominators
- Model Subtracting a Fraction from One on a Number Line
- Adding Fractions in Word Problems and Converting Sums
Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1
- Creating a Line Plot with Fractional Data
- Convert Improper Fractions to Mixed Numbers by Decomposing
- Convert Improper Fractions to Mixed Numbers Using Multiplication
- Add and Subtract Fractions from Whole Numbers with Tape Diagrams
- Comparing Mixed Numbers by Finding Common Denominators
- Expressing Products as Mixed Numbers
- Comparing Whole Number Parts of Mixed Numbers
- Strategically Comparing Fractions Greater Than 1
- Multiplying a Whole Number by a Unit Fraction
- Compare Mixed Numbers with the Same Whole Using a Benchmark
- Convert a Mixed Number to a Fraction Greater Than 1 (Algorithm)
- Solving Word Problems Using a Line Plot
- Adding and Subtracting Fractions from Whole Numbers Using Number Bonds
- Compare Improper Fractions with Common Numerators
- Decomposing Mixed Numbers into Wholes and a Fraction Part
Chapter 26: Addition and Subtraction of Fractions by Decomposition
- Rounding Mixed Numbers to the Nearest Half or Whole
- Subtract Mixed Numbers by Decomposing the Minuend
- Decompose a Mixed Number to Regroup for Subtraction
- Add Mixed Numbers by Making a Whole
- Determine if an Estimate is an Overestimate or Underestimate
- Add Mixed Numbers and Regroup the Fractional Sum
- Making the Next Whole Number
- Add by Making a Whole Using Arrow Way
- Subtract by Decomposing the Subtrahend to Reach a Whole
- Subtracting by Regrouping from the Mixed Number
- Subtract a Fraction from a Mixed Number with Regrouping
- Subtracting by Decomposing the Subtrahend's Fraction
- Finding the Difference by Counting Up
- Add Like Units and Regroup an Improper Fraction
Chapter 27: Repeated Addition of Fractions as Multiplication
- Solve Word Problems with Whole Numbers and Mixed Numbers
- Apply the Distributive Property to a Whole Number and a Mixed Number
- Using Multiplication to Find a Total in a Multi-Step Problem
- Multiplying a Whole Number by a Fraction
- Multiply a Whole Number and a Mixed Number Using the Distributive Property
- Solving Multi-Step Fraction Word Problems
- Justifying the Rule with the Associative Property
- Solve Multi-Step Word Problems with Mixed Numbers
Chapter 28: Exploring a Fraction Pattern
Chapter 29: Exploration of Tenths
- Making the Next Whole
- Equivalence of Fractions and Decimals (Tenths)
- Writing Numbers in Expanded Form
- Represent Fractions Greater Than 1 Using Area Models
- Representing Mixed Numbers with Tenths on a Number Line
- Applying Tenths to Metric Units
- Composing One Whole with Tenths
- Relating Fractions Greater Than 1, Mixed Numbers, and Decimals
Chapter 30: Tenths and Hundredths
- Composing and Decomposing Numbers with Hundredths
- Numerical Equivalence of Tenths and Hundredths
- Mixed Number and Decimal Equivalence
- Plotting Mixed Numbers on a Number Line
- Modeling Decimals with Place Value Disks
- Representing Mixed Numbers with Area Models
- Writing Decimals in Expanded Form with Fractions
- Representing Mixed Numbers with Hundredths
- Decomposing Decimals into Smaller Units
- Represent One Hundredth as a Decimal
- Conceptual Model: Relating Adjacent Place Value Units
- Translating Between Decimal Representations
- Representing Decimals in Equivalent Fraction Forms
Chapter 31: Decimal Comparison
- Decimal Equivalence of Tenths and Hundredths
- Ordering Decimals
- Comparing Decimals Using a Place Value Chart
- Converting to a Common Decimal Format
- Ordering Numbers and Writing Comparison Statements
- Plotting Numbers in Various Forms on a Number Line
- Recording Decimal Comparisons
- Compare Decimals Using Area Models
- Recording Decimal Comparisons
- Representing Metric Measurements as Decimals
- Comparing Numbers in Different Forms
Chapter 32: Addition with Tenths and Hundredths
- Tenths and Hundredths Equivalence
- The 'Like Units' Rule for Adding and Subtracting Fractions
- Add Fractions and Mixed Numbers with Denominators of 10 and 100
- Model Multi-Step Addition Problems with Tape Diagrams
- Converting Between Decimals and Mixed Numbers
- Add Hundredths and Express the Sum
- Add Mixed Numbers with Regrouping (Hundredths)
Chapter 33: Money Amounts as Decimal Numbers
Chapter 34: Measurement Conversion Tables
Chapter 35: Problem Solving with Measurement
- Applying the RDW Problem-Solving Process
- Solving Word Problems with Mixed Units of Length
- Decompose a Whole Unit to Subtract
- Subtracting Mixed Units of Time
- Solve Multi-Step Measurement Word Problems
- Strategies for Subtracting Mixed Units of Length
- Subtracting Mixed Weights Using Multiple Strategies
- Solve Word Problems with Mixed Capacity Units
- Solve Word Problems with Mixed Capacity Units
- Add Mixed Capacity Units
- Adding Mixed Weights Using Multiple Strategies
- Add and Subtract Mixed Units by Regrouping
- Strategies for Adding Mixed Units of Length
- Strategies for Adding Time
- Solving Multi-Step Word Problems with Mixed Units of Weight
- Solving Word Problems with Mixed Units of Length
- Converting Measurement Units
Chapter 36: Investigation of Measurements Expressed as Mixed Numbers
Pengi Math (Grade 4)
7 chapters, 31 skills
▶
Pengi Math (Grade 4)
7 chapters, 31 skills
Chapter 1: Place Value Fundamentals and Estimation
Chapter 3: Understanding Multiplication and Division
Chapter 4: Multiplication & Division Strategies
Chapter 6: Understanding Fractions
Chapter 7: Fraction Operations
Chapter 8: Decimals & Fraction Connections
- Representing Tenths and Hundredths as Decimals
- Relating Tenths and Hundredths Using Decimals
- Writing Decimals as Fractions (Tenths and Hundredths)
- Writing Money Values as Decimals
- Equivalent Decimals: Tenths and Hundredths
- Compare Decimals Using Like Units
- Representing Measurements as Decimals
- Name decimals
- Ordering Decimals
- Recording Decimal Comparisons
Chapter 9: Measurement, Data & Real-World Math
- Metric Units of Capacity and Mass
- Customary Units of Weight
- Customary Units of Capacity
- Solving Time Word Problems
- Metric Units of Length
- Customary Units of Length
- Solve Multi-Step Measurement Problems
- Time Conversions: Hours, Minutes, and Seconds
- Word Problems with Customary Units
- Solving Word Problems Using a Line Plot
Pengi Social Studies (Grade 4)
8 chapters, 65 skills
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Pengi Social Studies (Grade 4)
8 chapters, 65 skills
Chapter 1: Foundations: Geography and the Social Sciences
Chapter 2: The First Californians and Their Environments
Chapter 3: Colonial Eras: Missions and Mexican Ranchos
Chapter 4: Conflict, Gold, and the New State
Chapter 5: Connecting and Peopling the State
Chapter 6: The 'Green Gold': Agriculture and Water
Chapter 7: 20th Century Challenges: Depression and War
Chapter 8: Modern California: Economy, Government, and Culture
Saxon Math, Intermediate 4
8 chapters, 377 skills
▶
Saxon Math, Intermediate 4
8 chapters, 377 skills
Chapter 1: Lessons 1–10, Investigation 1
- Identity Property of Addition
- Negative numbers
- Number Sense
- Ordinal Numbers
- Sum of two odd numbers
- Addition
- Solving for a Missing Piece
- Commutative Property of Addition
- Sequences
- Finding the Missing Addend
- Reading Math
- Missing Addends
- Review of Addition
- Fact family
- Expression
- We do not use the word and when writing whole numbers.
- Reading Math
- Sequences
- The Power of Zero
- Adding with Regrouping
- Adding with pencil and paper
- Digits
- Months of the Year
- odd number
- Subtract
- Adding Money
- even numbers
- Formulate an Equation
- Place Value
- Difference
- Place Value
- Writing Dates
- Number line
- Whole numbers
- Even and Odd Numbers
- Ordinal Numbers, Months of the Year
- Review of Subtraction
- Writing Numbers Through 999
- Investigation 1 Number Lines, Activity Drawing Number Lines
- What is an Equation?
- Comparing numbers
- Adding with regrouping
- Draw a Picture
- Identifying Digit Places
- Finding a Missing Addend
- Adding money amounts
- Extend a Pattern
Chapter 2: Lessons 11–20, Investigation 2
- Adding Three-Digit Numbers
- Elapsed time
- Units of Length and Perimeter
- Elapsed Time Problems
- Math Language
- Perimeter of a Rectangle
- Temperature, Activity Measuring Temperature
- Justify
- Perimeter
- Difference in Temperature
- Finding The Missing Piece
- Verify With Inverse Operations
- Conclude
- Represent
- Subtracting Two-Digit and Three-Digit Numbers
- Addition Word Problems with Missing Addends
- Rounding to the Nearest Dollar
- U.S. Customary Units of Length
- Subtracting Two-Digit Numbers with Regrouping
- Digital Form
- Rounding
- Regrouping
- Expanded Form
- Missing Addend Word Problems
- Metric Units of Length
- Reading Math
- Regrouping Sums of 20 or More
- Represent
- Missing Two-Digit Addends
- Guess and Check
- Math Symbols
- Estimate Fahrenheit from Celsius
- Missing Numbers in Subtraction
- Subtracting Two-Digit and Three-Digit Numbers, Missing Two-Digit Addends
- Adding Columns of Numbers with Regrouping
- Scale
- Missing Numbers in Subtraction
- Rounding to the Nearest Ten
- Expanded Form, More on Missing Numbers in Subtraction
- Lining Up by Place Value
- Writing Fact Families
- Renaming Numbers For Subtraction
- Subtract Down
- Rounding to the Nearest 25 Cents
- Part-Part-Whole Problems
- Some and Some More Problems
- Add Up
- Adding Three-Digit Numbers
Chapter 3: Lessons 21–30, Investigation 3
- Triangles, Rectangles, Squares, and Circles
- Square root
- Elapsed Time
- Array
- Lines, Segments, and Rays
- The Rule of Equal Parts
- Subtracting Three-Digit Numbers with Regrouping
- Two times any number
- Naming Fractions
- Subtraction Word Problems
- Multiplication Patterns, Area, Squares and Square Roots
- Finding a Missing Addend
- A Square is a Special Kind of Rectangle
- Multiplication Table
- Subtracting Dollars And Cents
- Finding the Starting Number
- Five times any number
- One times any number
- Multiplication as Repeated Addition
- Parallel, Perpendicular, and Intersecting
- Multiplication Facts: 0s, 1s, 2s, 5s
- Compatible numbers
- Inverse Operations
- Zero times any number
- Radius and Diameter
- Adding Dollars and Cents
- Right, Acute, and Obtuse Angles
- Finding The Starting Amount
- Area
- Commutative Property of Multiplication
- The Some Went Away Formula
- Circumference
- Inverse Operations
- Property of Zero for Multiplication
- Finding What Went Away
- Identity Property of Multiplication
- Naming Fractions, Adding Dollars and Cents
- Lines, Segments, Rays, and Angles
- Drawing Pictures of Fractions
- Multiplication as Repeated Addition, More Elapsed-Time Problems
- Drawing Pictures of Fractions
- Square numbers
- Estimating With Friendly Numbers
- Finding a Past Time
- Subtracting With Regrouping
- What Fraction Is Shaded?
Chapter 4: Lessons 31–40, Investigation 4
- From fractions to decimals
- Fractions of a Dollar
- Tens
- Mixed number
- Two fourths equals one half
- Metric liquid measure
- Coins as fractions of a dollar
- Capacity
- Naming Mixed Numbers and Money
- Reading mixed numbers on a number line
- Connecting decimals to money
- Writing numbers in digits
- Naming decimal numbers
- Writing numbers in words
- Writing Numbers Through Hundred Thousands
- Multiplication Facts: 9s, 10s, 11s, 12s
- Hundredths
- Math Symbols
- Reading to the nearest quarter inch
- Twelves
- Place value to hundred thousands
- Expanded form
- 9s multiplication facts
- Whole-Number Place Values
- 10s multiplication facts
- Elevens
- Combining mixed number lengths
- Multiplication Facts (Memory Group)
- Base-ten system
- Decimal places
- Reading Fractions and Mixed Numbers from a Number Line
- 12s multiplication facts
- Memory group
- Capacity
- Combination
- Comparing U.S. and metric measures
- Relating Decimals and Fractions
- Word Problems About Comparing
- Relating Fractions and Decimals
- Writing numbers in words
- Writing checks with fractions
- Writing Numbers Through Hundred Millions
- Reading an Inch Scale to the Nearest Fourth
- Tenths and Hundredths
- Comparing numbers with subtraction
- Using a dollar sign
- 11s multiplication facts
- Finding 'how many fewer'
- Finding 'how many more'
- Comparing large numbers
Chapter 5: Lessons 41–50, Investigation 5
- Multiplying by Multiples of 10 and 100
- Subtracting Across Zero
- Decimal addition alignment
- Associative Property of Addition
- Division
- Factors and product
- Multiplication and division fact family
- Order of operations
- Adding and Subtracting Decimal Numbers, Part 1
- Spotting the clues
- Estimating with equal groups
- Naming Lines and Segments
- Fun facts of division
- Parentheses and the Associative Property, Naming Lines and Segments
- Relating Multiplication and Division, Part 1, Activity Using a Multiplication Table to Divide
- Relating Multiplication and Division, Part 2
- Mental Math
- Multiplying Two-Digit Numbers, Part 1
- Investigation 5: Percents, Activity Percent
- Multiplying with regrouping
- Pencil and Paper
- Finding 50% of a Number
- Estimate the product
- Inverse operations
- Percent
- Place value power-up
- Formula
- Three ways to show division
- Lining up decimals for success
- Making whole numbers decimal-ready
- Word Problems About Equal Groups, Part 1
- Subtracting Across Zero, Missing Factors
- Unifying different money formats
- Estimating Products by Rounding
- Decimal subtraction showdown
- Rounding Numbers to Estimate
- Rounding to the Nearest Hundred
- Multiplying Two-Digit Numbers, Part 2
- Missing Factors
- Adding and Subtracting Decimal Numbers, Part 2, Activity Adding and Subtracting Decimals
- Area of a rectangle
- Model multiplication with money
- Regrouping In One Step
- Finding the Remaining Percent of a Whole
Chapter 6: Lessons 51–60, Investigation 6
- Ordering decimals
- Multiplying by 10
- Composite number
- Later − earlier = difference
- remainder
- Adding Numbers with More Than Three Digits, Checking One-Digit Division
- Finding the number of groups
- Estimate products
- Rounding to Estimate Sums
- Adding Numbers with More Than Three Digits
- Line Graphs
- Rate problem formula
- Congruent
- Finding time in rate problems
- Estimating Arithmetic Answers
- Bar Graphs
- Prime numbers
- What are multiples
- Circle Graphs
- Multiplying Three-Digit Numbers
- Using Models and Pictures to Compare Fractions, Activity Comparing Fractions
- Interpreting Remainders in Word Problems
- Rate Problems with a Given Total
- The Calendar
- Rate
- Subtracting Numbers with More Than Three Digits
- Pictographs
- One-Digit Division with a Remainder, Activity Finding Equal Groups with Remainders
- The Calendar, Rounding Numbers to the Nearest Thousand
- Rate Word Problems
- Checking One-Digit Division
- Finding rate in rate problems
- Estimating with Compatible Numbers
- Solving rates with a table
- Multiplying money
- One-Digit Division with a Remainder
- Comparing fractions with models
- Formulating Equations From Word Problems
- Subtracting Numbers with More Than Three Digits, Word Problems About Equal Groups, Part 2
- Investigation 6: Displaying Data Using Graphs, Activity Displaying Information on Graphs
- Rounding Numbers to the Nearest Thousand
- Prime and Composite Numbers, Activity Using Arrays to Find Factors
- Finding the number in each group
- Estimating Products
- Multiplying three-digit numbers
Chapter 7: Lessons 61–70, Investigation 7
- 1 millimeter
- The four steps of division
- Fractions of a dollar
- Tally marks
- Exponential expression
- Survey
- What is a Polygon?
- Division with Two-Digit Answers, Part 2
- Multiples of 9
- Bias
- Investigation 7: Collecting Data with Surveys, Activity Class Survey
- Exponent
- Regular polygon
- Similar
- Two-Step Equations
- Divisibility rule for 3
- Remaining Fraction, Two-Step Equations
- Divisor, dividend, and quotient
- Congruent
- Long division with two-digit answers
- Millimeters
- Estimating with compatible numbers
- Verify
- Finding a fraction of a group
- Vertex
- Multiplying Three or More Factors
- Division with two-digit answers
- Multiplying decimals by multiples of 10
- Similar and Congruent Figures
- All squares are similar
- Hanging out the zero
- Remaining Fraction
- Division with Two-Digit Answers, Part 1
- Area of a square
- Estimating with compatible numbers
- Converting Millimeters and Centimeters
- Division with Two-Digit Answers and a Remainder
- Finding Segment Lengths with Decimals
- Word Problems About a Fraction of a Group
- Multiplying by Multiples of 10
- Fraction word problems
- Math Symbols
- Multiplying Three or More Factors, Exponents
- Polygons
- Multiplying by multiples of 10
- Checking division with a remainder
- Avoiding data duplication
- Drawing fraction diagrams
Chapter 8: Lessons 71–80, Investigation 8
- Finding fractions in real-world groups
- Investigation 8: Analyzing and Graphing Relationships
- Metric units of mass
- Full turn
- U.S. Customary units of weight
- Classifying Triangles
- Estimating with compatible numbers
- The four steps of long division
- Zero in the quotient with a remainder
- Line of symmetry
- Clockwise or counterclockwise
- Fractions from letters in a word
- Rotational symmetry
- Placing the decimal point in division
- Division with zeros in the answer
- The four steps of division
- Coordinates
- Equilateral and Equiangular Triangles (Biconditional Property)
- Dividing numbers ending in zeros
- Measuring Turns
- Translation
- Reading Math
- Symmetry in letters
- Weight and mass
- Half turn
- Fraction of a Set
- Division answers ending with zero
- Estimating with compatible numbers
- Scalene
- Division Answers Ending with Zero
- Rotation
- Symmetry, Activity Reflections and Lines of Symmetry
- Reasonable estimate
- Finding Information to Solve Problems
- Quarter turn
- Isosceles
- Fraction of a set
- Degrees
- Reflection
- Geometric Transformations, Activity Using Transformations
- Division with Three-Digit Answers
- Mass and Weight
- Division with Zeros in Three-Digit Answers
- Graphing relationships
- Classifying by the largest angle
- Division with remainders
- Listing all arrangements
- Make a Diagram
- Writing equations from data tables
Social Studies Alive! California's Promise
8 chapters, 72 skills
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Social Studies Alive! California's Promise
8 chapters, 72 skills
Chapter 1
Chapter 2
Chapter 3
Chapter 4
- From Spanish to Mexican Rule in California
- The Spanish Enslave Indians for Labor
- Changing California's Land and Culture
- The Rise of California's Ranchos
- Mexican Culture Shapes Modern California
- The Rancho Economy and Global Trade
- Historians Question Spanish Sources
- Resistance and Great Loss for California Indians
- Spain Plans to Control California
- Californios Build a Rancho Culture
Chapter 5
- Early Settlers in Mexican California
- New Opportunities and Lasting Legacies
- The World Rushes to California
- Miners Work Hard for Little Gold
- A Compromise Makes California a State
- The Discovery of Gold and the Forty-Niners
- The United States Gains California
- Californians Write Rules for Statehood
- Conflict and Devastation in the Gold Fields
- Common Error: Not All Miners Struck It Rich
Chapter 6
- Building the Railroad: A Race Across America
- Connecting California: Stagecoaches and the Pony Express
- Instant Messages: The Transcontinental Telegraph
- Local Water Sources Run Dry
- Diverse Groups Build California
- The Railroad Connects California
- Californians Continue the Water Debate
- Water Projects Lead to Conflict
- California Passes Unfair Laws
- Building Aqueducts for Growing Cities
- Newcomers Seek Opportunity and Confront Prejudice
- Settlers Displace California Indians
- Settlers Create a Thirsty State
- Californios Lose Their Land
- Engineers Plan the Great Railroad
Chapter 7
Chapter 8
- Challenge: Corruption and the 1879 Constitution
- New Laws Bring New Immigrants to California
- Artists Share California's Story
- Californians Fight for Fair Schools
- California Creates Movies and Games
- California Builds New Industries
- California Protects Its Natural Treasures
- California Builds a Diverse Economy
- Leaders Divide Government Power
- California's Trade with the World
- California Creates New Jobs and Schools
- Universities and Entrepreneurs Build New Industries
- Californians Protect Their Resources
- Citizens Gain Power to Make Laws
- California Powers the Computer Revolution
- Fighting for Civil Rights in California
- Cities Spread Across the Land
- Federalism: National, State, and Local Governments
- Californians Build a Market Economy
- Reform: The Progressive Movement and Hiram Johnson
Social Studies Alive! Regions of Our Country
7 chapters, 84 skills
▶
Social Studies Alive! Regions of Our Country
7 chapters, 84 skills
Chapter 1: Discovering the Social Sciences
- First Americans Arrive from Asia
- Europeans Build Colonies in North America
- Political Scientists Study Governments
- People Build Lives Around the Land
- Historians Uncover Past Stories
- Maps Reveal a Region's Past
- Africans Endure Slavery and Fight for Equality
- Spanish Settlers Arrive in the Americas
- Geographers Group States into Regions
- Asian Immigrants Seek Opportunity in the West
- Geographers Pinpoint Locations
- Geographers Use Themes to Study Places
- Geographers Study Earth's Features
- Scientists Study How People Live Together
- People Use Resources to Meet Needs
Chapter 2: The Northeast
- The Northeast Builds America's First Factories
- More People Create More Waste
- Leaders Created the U.S. Government
- Northeast Cities Form a Megalopolis
- Pilgrims Establish Self-Government
- Population Density Shapes Lifestyles
- Crowds Shape City and Country Life
- Population Shapes Urban and Rural Life
- The Land Guides the People
- Colonists Begin the Fight for Freedom
Chapter 3: The Southeast
- Landforms Shaped Early Settlements
- African Americans Share Stories Through Music
- A Tiny Bug Changed Southern Farms
- The Southeast Builds Industries from Its Resources
- Landowners Build a Plantation Economy
- Jamestown Colony Relies on Tobacco and Enslaved Labor
- The Civil War Ends Slavery
- Americans Fought for Civil Rights
- Southeasterners Prepare for Dangerous Weather
- Waterways Guided Settlement and Trade
Chapter 4: The Midwest
- Settlers Claim Native American Lands
- Settlers Farm the Prairie
- Fewer Families Farm the Land
- Farmers Use Big Machines and Science
- New Tools Make Farming Faster
- Settlers Build Farms for Survival
- New Machines Help Farmers Sell Crops
- The Midwest Builds New Industries
- Americans Settle the Midwest Frontier
- Networks Connect the Midwest
Chapter 5: The Southwest
- Texas Wins Freedom from Mexico
- Native Americans Watered the Desert to Farm
- People Adapt to the Desert
- Technology Builds Desert Cities
- Settlers Race for Oklahoma Land
- People Conserve a Shrinking River
- Countries Build a Border Economy
- Engineers Tame the Colorado River
- Explorers Warn of a Dry Land
- States Divide the River's Water
Chapter 6: The West
- Settlers Seek Western Riches
- Settlers Developed New Industries in the West
- A City's Past Shapes Its Present
- Big Events Grew Western Cities
- Pioneers Settle Native American Lands
- People Build Diverse Western Cities
- Lewis and Clark Map the West
- Historians Ask Questions and Organize Facts
- Newcomers Shape the West
- People Changed and Saved Western Lands
Chapter 7: Inquiry: Studying Your State
- Historians Find Different Clues
- Geography Guides Where People Settle
- Geography Shapes a State's Economy
- States Split Government Jobs
- Individuals Play Economic Roles
- Citizens and Leaders Make a Law
- Historians Uncover a Place's Story
- Scarcity Forces Choices
- History Shapes Our State
- Citizens Choose Their Leaders
- Citizens Balance Rights with Responsibilities
- People Build Industries from Natural Resources
- Nature and People Shape a Place
- Businesses Combine Resources to Make Products
- Historians Investigate the Past
- The Nation Expands Westward
- Markets Connect Buyers and Sellers
- Newcomers Arrive in an Old Land
- Americans Create Levels of Government