"KhanAcademy" 修訂間的差異
出自 青少年追求卓越
Limingyu2007 (對話 | 貢獻) 小 (→///) |
Limingyu2007 (對話 | 貢獻) 小 (→///) |
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* Exponential functions from tables & graphs | * Exponential functions from tables & graphs | ||
| + | ====Polynomials==== | ||
| + | * Intro to polynomials | ||
| + | * Adding & subtracting polynomials | ||
| + | * Adding and subtracting polynomials: two variables | ||
| + | * Multiplying monomials | ||
| + | * Multiplying monomials by polynomials | ||
| + | * Multiplying binomials | ||
| + | * Multiplying binomials by polynomials | ||
| + | * Special products of binomials | ||
| + | * Polynomials word problems | ||
====///==== | ====///==== | ||
於 2018年9月5日 (三) 04:18 的修訂
- 本站提供一些英文輔助教材，主要是單字練習和單句練習，幫助台灣的小學4,5,6年級的學生更有效地使用英文版的 KhanAcademy 數學內容，作為學習英文的另一種途徑。本站用 Quizlet 幫助學生自主學習英文單字和單句，並且用 Kahoot 的趣味競賽或合作方式幫助學生共學英文單字和單句。
- 小學4,5,6年級的學生，用英文版的 KhanAcademy 幼教和小學低年級的數學內容來學習英文時，不會有數學及英文的雙重困難；因為那些數學觀念在學校的小學低年級的數學課中早已熟悉，或中高年級正在學習，且幾乎天天在數學學習的環境中不斷使用。
- 這些簡單又每天都繼續在學習中使用的數學觀念，成為英文初學者入門學習英文的大好基礎和機會。
- 當學生日復一日地熟悉本站所提供的輔助教材時，就可以漸近地理解英文版 KhanAcademy 的教學影片所要教導的數學觀念的英文表達方式。
- 接下來，學生從做英文版的 KhanAcademy 練習題的解題過程中，反覆應用所學到的英文來回答類似題型的許多題目，並且即時獲得電腦的回饋，立刻得知自己是否能够用英文來理解題意。
- 這樣，讓學生能體驗到剛剛所學到的英文單字可以立刻學以致用解決問題，以利觸發並支持學習英文的動機和興趣。
- 此外，藉著不斷的在解題中應用所學到的英文，在來達到深刻理解英文和長期記憶的效果。
目錄
- 1 Khan Academy 的數學內容的結構和結構的名稱
- 2 單字的課程目錄
- 2.1 Kindergarten
- 2.2 Arithmetic
- 2.3 Pre-algebra
- 2.3.1 Arithmetic properties
- 2.3.2 Factors and multiples
- 2.3.3 Reading and interpreting data
- 2.3.4 Measurement
- 2.3.5 Fractions
- 2.3.6 Decimals
- 2.3.7 Negative numbers and coordinate plane
- 2.3.8 Ratios, rates, proportions
- 2.3.9 Equations, expressions, and inequalities
- 2.3.10 Exponents, radicals, and scientific notation
- 2.4 Algebra 1
- 2.4.1 Algebra foundations
- 2.4.2 Solving equations
- 2.4.3 Solving inequalities
- 2.4.4 Working with units
- 2.4.5 Linear equations & graphs
- 2.4.6 Functions
- 2.4.7 Linear word problems
- 2.4.8 Sequences
- 2.4.9 Systems of equations
- 2.4.10 Inequalities (systems & graphs)
- 2.4.11 Absolute value & piecewise functions
- 2.4.12 Rational exponents & radicals
- 2.4.13 Exponential growth & decay
- 2.4.14 Polynomials
- 2.4.15 ///
- 2.5 Geometry
- 2.6 Algebra 2
- 2.7 Trigonometry
- 2.8 Precalculus
- 2.9 Statistics and probability
- 2.10 AP Calculus AB
- 2.11 AP Calculus BC
- 2.12 Multivariable calculus
- 2.13 Differential equations
- 2.14 Linear Algebra
- 3 小學雙語數學
Khan Academy 的數學內容的結構和結構的名稱
- 主題(subject)：例如： Trigonometry
- 1-8年級(grade)：例如：
- 條目：例如：
- 單元：例如：
- 影片/文件：例如：
- 測驗：例如：
- 單元：例如：
- 條目：例如：
- 9-12年級(High School)：High school math
- 主題(subject)：例如： Trigonometry
單字的課程目錄
Kindergarten
Counting and place value
Counting small numbers
- Learn
- Counting with small numbers
- Counting in order
- Practice
- Count with small numbers
- Count in order
- Find 1 more or 1 less than a number
Numbers 0 to 100
- Learn
- Number grid
- Missing numbers between 0 and 120
- Practice
- Missing numbers
- Numbers to 100
- Count tens
Counting objects
- Learn
- Counting in pictures
- Counting objects 1
- Counting objects 2
- Practice
- Count in pictures
- Count objects 1
- Count objects 2
Quiz 1
Comparing small numbers
- Learn
- Comparing numbers of objects
- Comparing numbers on the number line
- Counting by category
- Practice
- Compare numbers of objects 1
- Comparing numbers to 10
- Compare numbers of objects 2
Quiz 2
Teens
- Learn
- Teens as sums with 10
- Teen numbers: monkeys
- Practice
- Teen numbers
Unit test
Addition and subtraction
What is addition? What is subtraction?
- Learn
- Intro to addition
- Intro to subtraction
- Practice
- Add within 5
- Subtract within 5
Making 10
- Learn
- Getting to 10 by filling boxes
- Adding to 10
- Practice
- Make 10 (grids and number bonds)
- Make 10
Making small numbers
- Learn
- Making 5
- Practice
- Making 5
- Making small numbers in different ways
Quiz 1
Put together, take apart
- Learn
- Add and subtract: pieces of fruit
- Addition and subtraction within 10
- Practice
- Add within 10
- Subtract within 10
Addition and subtraction word problems
- Learn
- Addition word problems within 10
- Subtraction word problems within 10
- Practice
- Addition word problems within 10
- Subtraction word problems within 10
Quiz 2
Unit test
Measurement and geometry
Comparing size: Measurement and geometry
- Learn
- No videos or articles available in this lesson
- Practice
- Compare size
Basic shapes: Measurement and geometry
- Learn
- Cousin Fal's shape collection
- Recognizing shapes
- Practice
- Name shapes 1
- Name shapes 2
Quiz 1
Comparing shapes: Measurement and geometry
- Learn
- No videos or articles available in this lesson
- Practice
- Relative position
- Practice
- Compare shapes
Composing shapes
- Learn
- Composing shapes
- Practice
- Compose shapes
Quiz 2
Unit test
Arithmetic
Addition and subtraction
- Basic addition and subtraction
- Addition and subtraction within 20
- Strategies for adding and subtracting within 100
- Addition within 100
- Subtraction within 100
- Word problems within 100
- Multi-digit addition with regrouping
- Multi-digit subtraction with regrouping
Multiplication and division
- Multiplication intro
- Multiplication by 10s, 100s, and 1000s
- Multiplication: place value and area models
- Multi-digit multiplication
- Division intro
- Division: place value and area
- Multi-digit division (no remainders)
- Remainders
- Multi-digit division (remainders)
- Multiplication and division word problems
Negative numbers
- Intro to negative numbers
- Order negative numbers
- Number opposites
- Absolute value
- Intro to adding negative numbers
- Intro to subtracting negative numbers
- Adding & subtracting negative numbers
- Multiplying & dividing negative numbers
Fractions
- Fractions intro
- Fractions on the number line
- Equivalent fractions
- Comparing fractions
- Common denominators
- Decomposing fractions
- Adding and subtracting fractions with like denominators
- Mixed numbers
- Adding and subtracting fractions with unlike denominators
- Adding and subtracting mixed number with unlike denominators
- Adding and subtracting fractions word problems
- Multiplying whole numbers and fractions
- Multiplication as scaling
- Multiplying fractions
- Multiplying mixed numbers
- Multiplying fractions word problems
- Fractions as division
- Dividing unit fractions and whole numbers
- Dividing fractions by fractions
- Dividing fractions word problems
Decimals
- Intro to decimals
- Decimals on the number line
- Rounding decimals
- Comparing decimals
- Rewriting decimals as fractions
- Adding decimals
- Subtracting decimals
- Adding and subtracting decimals word problems
- Multiplying decimals
- Dividing decimals
Pre-algebra
Arithmetic properties
- Place value: Arithmetic properties
- Rounding whole numbers: Arithmetic properties
- Regrouping whole numbers: Arithmetic properties
- Order of operations: Arithmetic properties
- Arithmetic properties: Arithmetic properties
- Distributive property: Arithmetic properties
- Rational and irrational numbers
Factors and multiples
- Divisibility tests: Factors and multiples
- Factors and multiples: Factors and multiples
- Prime numbers: Factors and multiples
- Prime factorization: Factors and multiples
- Least common multiple: Factors and multiples
- Greatest common factor
Reading and interpreting data
- Representing data: Reading and interpreting data
- Stem and leaf plots: Reading and interpreting data
- Picture graphs, bar graphs, and histograms: Reading and interpreting data
- Frequency tables and dot plots: Reading and interpreting data
- Number patterns
Measurement
- Area of rectangles: Measurement
- Perimeter: Measurement
- Volume of a rectangular prism
Fractions
- Fractions intro: Fractions
- Fractions on the number line: Fractions
- Equivalent fractions: Fractions
- Comparing fractions: Fractions
- Common denominators: Fractions
- Decomposing fractions: Fractions
- Adding and subtracting fractions with like denominators: Fractions
- Mixed numbers: Fractions
- Adding and subtracting fractions with unlike denominators: Fractions
- Adding and subtracting mixed number with unlike denominators: Fractions
- Adding and subtracting fractions word problems: Fractions
- Multiplying whole numbers and fractions: Fractions
- Multiplication as scaling: Fractions
- Multiplying fractions: Fractions
- Multiplying mixed numbers: Fractions
- Multiplying fractions word problems: Fractions
- Fractions as division: Fractions
- Dividing unit fractions and whole numbers: Fractions
- Dividing fractions by fractions: Fractions
- Dividing fractions word problems
Decimals
- Intro to decimals
- Decimals on the number line
- Rounding decimals
- Comparing decimals
- Rewriting decimals as fractions
- Adding decimals
- Subtracting decimal
- Adding and subtracting decimals word problems
- Multiplying decimals
- Dividing decimals
Negative numbers and coordinate plane
- Intro to negative numbers
- Order negative numbers
- Number opposites
- Absolute value
- Intro to adding negative numbers
- Intro to subtracting negative numbers
- Adding & subtracting negative numbers
- Multiplying & dividing negative numbers
- Coordinate plane
Ratios, rates, proportions
- Intro to ratios
- Visualize ratios
- Ratio application
- Intro to rates
- Intro to percents
- Percent, fraction, decimal conversions
- Percent problems
- Percent word problems
- Constant of proportionality
- Identifying proportional relationships
- Writing & solving proportions
Equations, expressions, and inequalities
- Intro to variables
- Substitution & evaluating expressions
- Expression value intuition
- Constructing numeric expressions
- Evaluating expressions word problems
- Writing algebraic expressions introduction
- Writing basic algebraic expressions word problems
- Algebraic equations basics
- One-step equations intuition
- One-step addition & subtraction equations
- One-step multiplication and division equations
- One-step equation word problems
- Inequalities: Greater than and less than basics
- Two-step equations intro
- Dependent and independent variables
Exponents, radicals, and scientific notation
- Exponents
- Square roots
- Cube roots
- Exponent properties
- Negative exponents
- Scientific notation
- Orders of magnitude
- Computing with scientific notation
Algebra 1
Algebra foundations
- Overview and history of algebra
- Introduction to variables
- Substitution and evaluating expressions
- Evaluating expressions word problems
- Writing algebraic expressions introduction
- Dependent & independent variables
- Combining like terms
- Introduction to equivalent algebraic expressions
- Interpreting linear expressions
- Division by zero
Solving equations
- Algebraic equations basics
- Why we do the same thing to both sides of an equation
- One-step addition & subtraction equations
- One-step multiplication & division equations
- Two-steps equations intro
- Two-step equation word problems
- Linear equations with variables on both sides
- Linear equations with parentheses
- Analyzing the number of solutions to linear equations
- Linear equations word problems
- Linear equations with unknown coefficients
Solving inequalities
- Introduction to inequalities with variables
- One-step inequalities
- Two-step inequalities
- Multi-step inequalities
- Compound inequalities
Working with units
- Rate conversion
- Appropriate units
- Word problems with multiple units
Linear equations & graphs
- Two-variable linear equations intro
- x-intercepts and y-intercepts
- Slope
- Horizontal & vertical lines
- Intro to slope-intercept form
- Graphing slope-intercept equations
- Writing slope-intercept equations
- Point-slope form
- Standard form
- Summary: Forms of two-variable linear equations
Functions
- Evaluating functions
- Inputs and outputs of a function
- Functions and equations
- Interpreting function notation
- Introduction to the domain and range of a function
- Determining the domain of a function
- Recognizing functions
- Maximum and minimum points
- Intervals where a function is positive, negative, increasing, or decreasing
- Interpreting features of graphs
- Average rate of change
- Average rate of change word problems
Linear word problems
- Interpreting linear functions and equations
- Comparing linear functions
- Constructing linear models for real-world relationships
- Linear models word problems
Sequences
- Introduction to arithmetic sequences
- Constructing arithmetic sequences
- Introduction to geometric sequences
- Constructing geometric sequences
- Modeling with sequences
- General sequences
Systems of equations
- Introduction to systems of equations
- Equivalent systems of equations and the elimination method
- Solving systems of equations with substitution
- Manipulating expressions with unknown variables
- Number of solutions to systems of equations
- Solving any system of linear equations
- Systems of equations word problems
Inequalities (systems & graphs)
- Checking solutions of two-variable inequalities
- Graphing two-variable inequalities
- Modeling with linear inequalities
Absolute value & piecewise functions
- Graphs of absolute value functions
- Piecewise functions
Rational exponents & radicals
- Exponent properties review
- Radicals
- Rational exponents intro
- Properties of exponents (rational exponents)
- Advanced exponent & radical evaluation
- Simplifying square roots
- Simplifying radicals (higher-index roots)
Exponential growth & decay
- Exponential vs. linear growth
- Exponential expressions
- Graphs of exponential growth
- Exponential vs. linear growth over time
- Exponential decay
- Exponential functions from tables & graphs
Polynomials
- Intro to polynomials
- Adding & subtracting polynomials
- Adding and subtracting polynomials: two variables
- Multiplying monomials
- Multiplying monomials by polynomials
- Multiplying binomials
- Multiplying binomials by polynomials
- Special products of binomials
- Polynomials word problems
///
Geometry
Algebra 2
Trigonometry
Precalculus
Statistics and probability
AP Calculus AB
AP Calculus BC
Multivariable calculus
Differential equations
Linear Algebra
小學雙語數學
- 和均一教育平台小學數學的內容和進度配合
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