GeoGebra数学资源（4-8年级）

孟宝兴, 学个啥呀, 10.12.2023

【翻译人：孟宝兴、钱云】 在您的课程中使用我们GeoGebra编写的资源——类型包括：热身、入门、探索、练习、实践等。 我们的资源会不断添加、更新和改进。如果您有任何特殊要求，请联系我们community@geogebra.org 享受它们吧！ 如发现翻译问题，欢迎与我们反馈。geogebra@163.com

Inhaltsverzeichnis

  1. 代数探索
    1. 除法应用题
    2. 建立一元代数表达式
    3. 利用平铺可视化代数规则
    4. 瓷砖图案中的有序数对方程
    5. 用天平可视化方程求解
    6. 编写方程
    7. 用图解法求解一次方程组
    8. 认识定义域和值域
    9. 解决两步方程
    10. 学习直线的斜率和截距
    11. 平移直线
    12. 直线的斜率
    13. 表格，图像和线性方程
    14. 建立百分比比例
    15. 成比例数值
    16. 代数表达式的描述
    17. 分析比例关系
    18. 求解方程式：冷热活动
    19. 探索方程解的个数
  2. 代数实践
    1. 三位数以内的数列
    2. 连续图形的规律
    3. 识别数值表规律-加法和减法
    4. 识别数值表规律-乘法和除法
    5. 识别数值表规律-混合运算
    6. 描述方程中变量的含义
    7. 根据问题描述写算式
    8. 为游戏场景写出算式
    9. 根据图形求解方程式
    10. 解释折线图的变化率
    11. Writing Linear Equations Using Visual Patterns
    12. Using Substitution to Evaluate Expressions
    13. Writing Word Problems for One-Step Inequalities
    14. Word Problems Involving Intercepts
    15. Systems of Equations Puzzle Game
    16. Calculating the Slope of a Line
    17. Comparing Rates of Change in a Car Race
    18. Writing the Equation of a Line Using Two Points
    19. Solving Direct Variation Word Problems
    20. Linear vs. Nonlinear Relationships in Line Graphs
    21. Creating a Line with the Given Slope
    22. Solving Equations Involving Square Roots
    23. Graphing Inequalities from Mathematical Notation
    24. Translating and Solving Real World Inequalities
    25. Solving Equations and Inequalities Using Substitution
    26. Describing Algebraic Expressions
    27. Venn Diagrams for Statements about Two Sets
    28. Solving One-Step Equations
  3. 几何探索
    1. 用对称创艺属于自己的长袍
    2. 坐标的意义
    3. 在平面直角坐标系中绘制
    4. 多边形的组成
    5. 根据角度大小命名角
    6. 发现我们身边的角
    7. Horizontal and Vertical Paths Using a City Bus Route Simulation
    8. Symmetric Patterns in Nature
    9. Visualizing Lines of Symmetry
    10. Describing Reflections of Figures
    11. Sum of Interior Angles of a Triangle
    12. Complementary and Supplementary Angles
    13. Vertical Angles
    14. Identifying Congruent Figures Using Transformations
    15. Corresponding Angles Formed By Parallel Lines and a Transversal
    16. Translating Points to Translate Figures
    17. Pythagorean Theorem Animation
    18. Finding the Distance Between Two Points Using the Pythagorean Theorem
    19. Rotating Points Around the Origin
    20. Unknown Complementary Angles
    21. Identifying Parallel Lines Cut by a Transversal
    22. Sum of Exterior Angles of a Polygon
    23. Making Cross Sections of a Prism
    24. Rotation Description
    25. Unfolding Shapes in 3D
    26. Unfolding Prisms
    27. Unfolding Pyramids
    28. Unfolding Cylinders
    29. Unfolding Cones
    30. Testing Side Lengths to Form Triangles
    31. Translating Figures
    32. Exploring a Sequence of Transformations Level 3
    33. Transforming Points on the Coordinate Plane
    34. Naming Polygons
  4. 几何实践
    1. Finding the Treasure on the Coordinate Plane
    2. Naming Geometric Objects
    3. Drawing Parallel, Perpendicular, and Intersecting Lines
    4. Identifying Parts of an Angle
    5. Naming Angles
    6. Moving Points on a Coordinate Grid
    7. Drawing Symmetrical Polygons
    8. Drawing Quadrilaterals Using Properties
    9. Constructing Triangles with Given Properties
    10. Identifying Rigid Transformations
    11. Finding the Missing Angle of a Polygon
    12. Finding Complementary and Supplementary Angles
    13. Finding the Treasure in Four Quadrants
    14. Identifying and Measuring Corresponding Sides of Similar Figures
    15. Identifying Right Triangles Using the Pythagorean Theorem
    16. Making Similar Triangles
    17. Reflecting a Polygon Across Axes
    18. Applying Proportions to Similar Polygons
    19. Describing the Rotation of Triangles
    20. Visualizing Triangles
    21. Transformations Practice 2 (Level 1)
    22. Transformations Practice 2 (Level 2)
    23. Transformations Practice 2 (Level 3)
    24. Transformations Challenge
    25. Writing Algebraic Rules for Transformations
  5. 测量探索
    1. Partitioning Areas of Rectangles with Mixed Number Side Lengths
    2. Area Fun Using a Grid
    3. Drawing Angles Game
    4. Drawing Angles: Hot and Cold Activity
    5. Relating Units Within a Measurement System
    6. Solving Elapsed Time Problems Using a Number Line
    7. Composing Prisms by Stacking Cubes
    8. Calculating the Volume of Composite Solids
    9. Estimating Temperature Conversion Between Celsius and Fahrenheit
    10. Visualizing the Area of a Circle and its Formula
    11. Calculating Area of Composite Figures Using a Quilt Pattern
    12. Exploring Scaled Figures Using Models
    13. Volumes of Rectangular Prisms
    14. Finding Actual Distances Using an Interactive Map
    15. Calculating the Surface Area of Cylinders Using Nets
    16. Connecting Volumes of Pyramids and Prisms Using Visual Models
    17. Cylinder Volume Word Problems
    18. Exploring Unit Conversion Within a Measurement System Using a Rain Gauge Activity
  6. 测量实践
    1. Calculating Perimeter of Polygons
    2. Calculating Cash Amounts
    3. Estimating Total Costs
    4. Measuring Angles Using a Protractor
    5. Drawing Angles Using a Protractor
    6. Calculating Volume with Invisible Cubes
    7. Solving Word Problems about Distance with a Number Line
    8. Estimating Liquid Volumes
    9. Building a Fence and Calculating the Perimeter
    10. Finding the Missing Angle
    11. Finding Composite Volume Word Problems
    12. Calculating the Circumference of a Circle
    13. Calculating Scale Factors of Similar Figures
    14. Calculating Actual Distances Using Scale Drawings
    15. Creating Scale Drawings
    16. Calculating Distance Between Two Points on a Map
    17. Finding the Area of Similar Figures Using Scale Factor
    18. Using the Surface Area Formula for Cylinders
    19. Calculating Actual Area Using a Scaled Drawing
    20. Converting Unit Rates with Dimensional Analysis
    21. Calculating the Volume of a Sphere
    22. Building Expressions about Word Problems Involving Weight
  7. 数感探索
    1. Reading Number Names from 1,000 to 9,999
    2. Comparing Fractions Using a Benchmark
    3. Visualizing Equivalent Fractions Using Models
    4. Comparing Fractions with Unlike Denominators Using Models
    5. Decimal Comparisons with Base 10 Blocks
    6. Converting Decimals up to the Hundredths Place to Fractions
    7. Prime Factors and Products Using Visual Models
    8. Rounding Decimals
    9. Comparing Products Using Visual Models
    10. Comparing Decimals up to the Thousandths Place
    11. Exploring Multiples in a Hundreds Grid
    12. Visualizing the Greatest Common Factor Using a Model
    13. Expressing Composite Numbers as a Product of Prime Numbers
    14. Factoring with Trees
    15. Numbers up to the Thousands Place
    16. Equivalent Fractions with Larger Denominators
    17. Positive and Negative Numbers in a Bank Account
    18. Converting Fractions to Decimals Using Long Division
    19. Expressing Percentages as Decimals and Fractions
    20. Ordering Integers on a Number Line
    21. Expressing Numbers in Scientific Notation
    22. Comparing Rational Numbers Using a Number Line
    23. Additive Inverse
    24. Percentages and Equivalent Fractions and Decimals
    25. Comparing Apples and Oranges with Ratios
    26. Absolute Value of Integers in Money Statements
    27. Converting Fractions to Terminating Decimals
  8. 数感实践
    1. Writing Number Names from 100 to 999
    2. Identifying Decimals to the Tenths Place on a Number Line
    3. Modeling Numbers in Expanded Form
    4. Creating the Largest Possible 4-digit Number
    5. Locating Proper and Improper Fractions on a Number Line
    6. Converting Numbers Between Standard and Expanded Form
    7. Identifying Place Values up to the Thousandths Place
    8. Identifying Prime Numbers
    9. Finding Multiples Using a Hundreds Grid
    10. Classifying Prime and Composite Numbers
    11. Matching Place Values of Digits up to Three Decimal Places
    12. Making Prime Factorization Trees
    13. Decimal Number Names up to the Thousandths Place
    14. Rounding Whole Numbers up to the Hundred Thousands Place
    15. Writing Expanded Form of Decimals up to the Thousandths Place
    16. Converting Terminating Decimals to Fractions
    17. Ordering Rational Numbers
    18. Estimating Rational Numbers on a Number Line
  9. 运算探索
    1. Subtracting Numbers with Regrouping Using Models
    2. Adding Decimals with Base 10 Blocks
    3. Visualizing the Commutative Property of Addition
    4. Multiplying Multi-Digit and 1-Digit Numbers Using Partial Products
    5. Long Division With One-Digit Divisors and Remainders
    6. Using Order of Operations to Create Numerical Expressions
    7. Using Order of Operations and Grouping Symbols to Create Numerical Expressions
    8. Estimating Products of 2-digit Numbers
    9. Adding Fractions with Like Denominators in Word Problems
    10. Estimating the Sum of Decimals up to Two Decimal Places
    11. Multiplying Fractions Using Visual Models
    12. Dividing Fractions Using Visual Models
    13. Making One Whole Using Fraction Tiles
    14. Modeling Distributive Property
    15. Decimal Multiplication Word Problems
    16. Dividing Whole Numbers by Fractions Word Problems
    17. Estimating Sums of Fractions and Mixed Numbers Using a Number Line
    18. Modeling Decimal Multiplication
    19. Modeling Division as a Fraction
    20. Modeling Products of Mixed Numbers
    21. Dividing Whole Numbers by Unit Fractions
    22. Finding Unit Rates Using Models
    23. Adding and Subtracting Integers with Balloons and Sandbags
    24. Comparing Ratios with a Water Dye Simulation
    25. Finding the Percentage of a Number Using Tape Diagrams
    26. Perfect Squares and Square Roots Using Models
    27. Finding Percentage Increase
    28. Estimating Squares: Hot and Cold Activity
    29. Associative Property of Multiplication Using Models
    30. Calculating Distances Between Horizontal and Vertical Points Using a Car Exploration
    31. Comparing Quantities of Desserts Using Ratios
    32. Commutative Property of Multiplication Using Models
    33. Cubes of Numbers Using Visual Models
  10. 运算实践
    1. Creating Division Equations Using Visual Models
    2. Two-Digit Addition and Subtraction Estimation Game
    3. Finding the Fraction in Word Problems
    4. Multiplying 2-Digit Numbers Using Partial Products
    5. Dividing Fractions
    6. Adding and Subtracting Multiple Fractions With Unlike Denominators
    7. Division Problems with Remainders
    8. Finding the Missing Fraction to Make a Whole
    9. Multiplication and Division with Multiples of Powers of Ten
    10. Multiplication and Division Estimation Game
    11. Multiplying up to Two-Digit Multiples of 10
    12. Solving Multi-Step Number Problems
    13. Multi-Digit Addition with Regrouping
    14. Multi-Digit Subtraction with Regrouping
    15. Writing Fractions as a Product of Unit Fractions Using a Tape Diagram
    16. Adding Fractions with Like and Unlike Denominators
    17. Writing Equivalent Forms of Expressions with Exponents
    18. Evaluating Fractions Raised to a Power
    19. Multiplying Negative Numbers
    20. Proportional Relationships in Real World Problems
    21. Simplifying Algebraic Expressions
    22. Adding and Subtracting Numbers in Scientific Notation
    23. Finding Vertical and Horizontal Distances Between Points
    24. Ratios in a Cupcake Recipe
    25. Midpoint of Rational Numbers
    26. Estimating Products of Decimals Using Area Models
    27. Mixed Number and Fraction Division
  11. 概率统计-探索
    1. Creating Line Plots and Tables
    2. Venn Diagram Word Problems
    3. Finding Median of a Data Set
    4. Finding Probabilities: Spinner
    5. Finding Probabilities: Jar of Marbles
    6. Visualizing the Mean of a Data Set
    7. Finding Theoretical and Experimental Probabilities Using a Spinner Simulation
    8. Comparing Random and Biased Samples of Population
    9. Calculating Probability Using a Pinball Simulation
    10. Outlier Effect on Mean, Median, and Range
    11. Sprinkler System Line of Best Fit
    12. Range of a Herd of Cows
    13. Determining the Complement of a Spinner Event
    14. Comparing Box-and-Whisker and Dot Plots
    15. Visualizing Data Using Dot Plots
    16. Determining Population Trends Using a Sample Population
    17. Spinning Likelihood
    18. Scales and Intervals in Graphs
  12. 概率统计-实践
    1. Interpreting Bar Graphs
    2. Building a Cityscape Bar Graph
    3. Creating Line Plots
    4. Finding the Mode of a Set
    5. Interpreting Stem and Leaf Plots
    6. Creating Double Line Graphs
    7. Determining the Sample Space of an Event by Building Furry Friends
    8. Creating Histograms from Data About a Popcorn Party
    9. Constructing a Histogram
    10. Interpreting Circle Graphs
    11. Determining the Best Measure of Central Tendency
    12. Calculating Compound Probabilities
    13. Drawing Box-and-Whisker Plots
    14. Creating Scatter Plots
    15. Predicting Outcomes Using Theoretical Probability
    16. Finding the Interquartile Range
    17. Linear vs. Nonlinear Relationships in Scatter Plots
    18. Calculating Mean Absolute Deviation (MAD)
    19. Statistical and Non-Statistical Questions
    20. Creating Dot Plots
    21. Describing Dot Plots Using the Best Measure of Variability
    22. Predicting Population Trends Based on a Sample Population
    23. Investigating Data Using MAD
    24. Finding Cookie Taste Test Probabilities
    25. Probability Estimation Using Simulation
    26. Outliers in Scatter Plots
    27. Interpreting Two-Way Tables

1.

代数探索

  • 1. 除法应用题
  • 2. 建立一元代数表达式
  • 3. 利用平铺可视化代数规则
  • 4. 瓷砖图案中的有序数对方程
  • 5. 用天平可视化方程求解
  • 6. 编写方程
  • 7. 用图解法求解一次方程组
  • 8. 认识定义域和值域
  • 9. 解决两步方程
  • 10. 学习直线的斜率和截距
  • 11. 平移直线
  • 12. 直线的斜率
  • 13. 表格，图像和线性方程
  • 14. 建立百分比比例
  • 15. 成比例数值
  • 16. 代数表达式的描述
  • 17. 分析比例关系
  • 18. 求解方程式：冷热活动
  • 19. 探索方程解的个数

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2.

代数实践

  • 1. 三位数以内的数列
  • 2. 连续图形的规律
  • 3. 识别数值表规律-加法和减法
  • 4. 识别数值表规律-乘法和除法
  • 5. 识别数值表规律-混合运算
  • 6. 描述方程中变量的含义
  • 7. 根据问题描述写算式
  • 8. 为游戏场景写出算式
  • 9. 根据图形求解方程式
  • 10. 解释折线图的变化率
  • 11. Writing Linear Equations Using Visual Patterns
  • 12. Using Substitution to Evaluate Expressions
  • 13. Writing Word Problems for One-Step Inequalities
  • 14. Word Problems Involving Intercepts
  • 15. Systems of Equations Puzzle Game
  • 16. Calculating the Slope of a Line
  • 17. Comparing Rates of Change in a Car Race
  • 18. Writing the Equation of a Line Using Two Points
  • 19. Solving Direct Variation Word Problems
  • 20. Linear vs. Nonlinear Relationships in Line Graphs
  • 21. Creating a Line with the Given Slope
  • 22. Solving Equations Involving Square Roots
  • 23. Graphing Inequalities from Mathematical Notation
  • 24. Translating and Solving Real World Inequalities
  • 25. Solving Equations and Inequalities Using Substitution
  • 26. Describing Algebraic Expressions
  • 27. Venn Diagrams for Statements about Two Sets
  • 28. Solving One-Step Equations

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3.

几何探索

  • 1. 用对称创艺属于自己的长袍
  • 2. 坐标的意义
  • 3. 在平面直角坐标系中绘制
  • 4. 多边形的组成
  • 5. 根据角度大小命名角
  • 6. 发现我们身边的角
  • 7. Horizontal and Vertical Paths Using a City Bus Route Simulation
  • 8. Symmetric Patterns in Nature
  • 9. Visualizing Lines of Symmetry
  • 10. Describing Reflections of Figures
  • 11. Sum of Interior Angles of a Triangle
  • 12. Complementary and Supplementary Angles
  • 13. Vertical Angles
  • 14. Identifying Congruent Figures Using Transformations
  • 15. Corresponding Angles Formed By Parallel Lines and a Transversal
  • 16. Translating Points to Translate Figures
  • 17. Pythagorean Theorem Animation
  • 18. Finding the Distance Between Two Points Using the Pythagorean Theorem
  • 19. Rotating Points Around the Origin
  • 20. Unknown Complementary Angles
  • 21. Identifying Parallel Lines Cut by a Transversal
  • 22. Sum of Exterior Angles of a Polygon
  • 23. Making Cross Sections of a Prism
  • 24. Rotation Description
  • 25. Unfolding Shapes in 3D
  • 26. Unfolding Prisms
  • 27. Unfolding Pyramids
  • 28. Unfolding Cylinders
  • 29. Unfolding Cones
  • 30. Testing Side Lengths to Form Triangles
  • 31. Translating Figures
  • 32. Exploring a Sequence of Transformations Level 3
  • 33. Transforming Points on the Coordinate Plane
  • 34. Naming Polygons

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4.

几何实践

  • 1. Finding the Treasure on the Coordinate Plane
  • 2. Naming Geometric Objects
  • 3. Drawing Parallel, Perpendicular, and Intersecting Lines
  • 4. Identifying Parts of an Angle
  • 5. Naming Angles
  • 6. Moving Points on a Coordinate Grid
  • 7. Drawing Symmetrical Polygons
  • 8. Drawing Quadrilaterals Using Properties
  • 9. Constructing Triangles with Given Properties
  • 10. Identifying Rigid Transformations
  • 11. Finding the Missing Angle of a Polygon
  • 12. Finding Complementary and Supplementary Angles
  • 13. Finding the Treasure in Four Quadrants
  • 14. Identifying and Measuring Corresponding Sides of Similar Figures
  • 15. Identifying Right Triangles Using the Pythagorean Theorem
  • 16. Making Similar Triangles
  • 17. Reflecting a Polygon Across Axes
  • 18. Applying Proportions to Similar Polygons
  • 19. Describing the Rotation of Triangles
  • 20. Visualizing Triangles
  • 21. Transformations Practice 2 (Level 1)
  • 22. Transformations Practice 2 (Level 2)
  • 23. Transformations Practice 2 (Level 3)
  • 24. Transformations Challenge
  • 25. Writing Algebraic Rules for Transformations

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5.

测量探索

  • 1. Partitioning Areas of Rectangles with Mixed Number Side Lengths
  • 2. Area Fun Using a Grid
  • 3. Drawing Angles Game
  • 4. Drawing Angles: Hot and Cold Activity
  • 5. Relating Units Within a Measurement System
  • 6. Solving Elapsed Time Problems Using a Number Line
  • 7. Composing Prisms by Stacking Cubes
  • 8. Calculating the Volume of Composite Solids
  • 9. Estimating Temperature Conversion Between Celsius and Fahrenheit
  • 10. Visualizing the Area of a Circle and its Formula
  • 11. Calculating Area of Composite Figures Using a Quilt Pattern
  • 12. Exploring Scaled Figures Using Models
  • 13. Volumes of Rectangular Prisms
  • 14. Finding Actual Distances Using an Interactive Map
  • 15. Calculating the Surface Area of Cylinders Using Nets
  • 16. Connecting Volumes of Pyramids and Prisms Using Visual Models
  • 17. Cylinder Volume Word Problems
  • 18. Exploring Unit Conversion Within a Measurement System Using a Rain Gauge Activity

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6.

测量实践

  • 1. Calculating Perimeter of Polygons
  • 2. Calculating Cash Amounts
  • 3. Estimating Total Costs
  • 4. Measuring Angles Using a Protractor
  • 5. Drawing Angles Using a Protractor
  • 6. Calculating Volume with Invisible Cubes
  • 7. Solving Word Problems about Distance with a Number Line
  • 8. Estimating Liquid Volumes
  • 9. Building a Fence and Calculating the Perimeter
  • 10. Finding the Missing Angle
  • 11. Finding Composite Volume Word Problems
  • 12. Calculating the Circumference of a Circle
  • 13. Calculating Scale Factors of Similar Figures
  • 14. Calculating Actual Distances Using Scale Drawings
  • 15. Creating Scale Drawings
  • 16. Calculating Distance Between Two Points on a Map
  • 17. Finding the Area of Similar Figures Using Scale Factor
  • 18. Using the Surface Area Formula for Cylinders
  • 19. Calculating Actual Area Using a Scaled Drawing
  • 20. Converting Unit Rates with Dimensional Analysis
  • 21. Calculating the Volume of a Sphere
  • 22. Building Expressions about Word Problems Involving Weight

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7.

数感探索

  • 1. Reading Number Names from 1,000 to 9,999
  • 2. Comparing Fractions Using a Benchmark
  • 3. Visualizing Equivalent Fractions Using Models
  • 4. Comparing Fractions with Unlike Denominators Using Models
  • 5. Decimal Comparisons with Base 10 Blocks
  • 6. Converting Decimals up to the Hundredths Place to Fractions
  • 7. Prime Factors and Products Using Visual Models
  • 8. Rounding Decimals
  • 9. Comparing Products Using Visual Models
  • 10. Comparing Decimals up to the Thousandths Place
  • 11. Exploring Multiples in a Hundreds Grid
  • 12. Visualizing the Greatest Common Factor Using a Model
  • 13. Expressing Composite Numbers as a Product of Prime Numbers
  • 14. Factoring with Trees
  • 15. Numbers up to the Thousands Place
  • 16. Equivalent Fractions with Larger Denominators
  • 17. Positive and Negative Numbers in a Bank Account
  • 18. Converting Fractions to Decimals Using Long Division
  • 19. Expressing Percentages as Decimals and Fractions
  • 20. Ordering Integers on a Number Line
  • 21. Expressing Numbers in Scientific Notation
  • 22. Comparing Rational Numbers Using a Number Line
  • 23. Additive Inverse
  • 24. Percentages and Equivalent Fractions and Decimals
  • 25. Comparing Apples and Oranges with Ratios
  • 26. Absolute Value of Integers in Money Statements
  • 27. Converting Fractions to Terminating Decimals

7.1.

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7.2.

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7.3.

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7.4.

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7.5.

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7.6.

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7.7.

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7.8.

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7.9.

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7.10.

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7.11.

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7.12.

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7.13.

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7.14.

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7.15.

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7.16.

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7.17.

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7.18.

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7.19.

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7.20.

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7.21.

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7.22.

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7.23.

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7.24.

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7.25.

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7.26.

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7.27.

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8.

数感实践

  • 1. Writing Number Names from 100 to 999
  • 2. Identifying Decimals to the Tenths Place on a Number Line
  • 3. Modeling Numbers in Expanded Form
  • 4. Creating the Largest Possible 4-digit Number
  • 5. Locating Proper and Improper Fractions on a Number Line
  • 6. Converting Numbers Between Standard and Expanded Form
  • 7. Identifying Place Values up to the Thousandths Place
  • 8. Identifying Prime Numbers
  • 9. Finding Multiples Using a Hundreds Grid
  • 10. Classifying Prime and Composite Numbers
  • 11. Matching Place Values of Digits up to Three Decimal Places
  • 12. Making Prime Factorization Trees
  • 13. Decimal Number Names up to the Thousandths Place
  • 14. Rounding Whole Numbers up to the Hundred Thousands Place
  • 15. Writing Expanded Form of Decimals up to the Thousandths Place
  • 16. Converting Terminating Decimals to Fractions
  • 17. Ordering Rational Numbers
  • 18. Estimating Rational Numbers on a Number Line

8.1.

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8.2.

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8.3.

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8.4.

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8.5.

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8.6.

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8.7.

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8.8.

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8.9.

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8.10.

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8.11.

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8.12.

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8.13.

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8.14.

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8.15.

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8.16.

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8.17.

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8.18.

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9.

运算探索

  • 1. Subtracting Numbers with Regrouping Using Models
  • 2. Adding Decimals with Base 10 Blocks
  • 3. Visualizing the Commutative Property of Addition
  • 4. Multiplying Multi-Digit and 1-Digit Numbers Using Partial Products
  • 5. Long Division With One-Digit Divisors and Remainders
  • 6. Using Order of Operations to Create Numerical Expressions
  • 7. Using Order of Operations and Grouping Symbols to Create Numerical Expressions
  • 8. Estimating Products of 2-digit Numbers
  • 9. Adding Fractions with Like Denominators in Word Problems
  • 10. Estimating the Sum of Decimals up to Two Decimal Places
  • 11. Multiplying Fractions Using Visual Models
  • 12. Dividing Fractions Using Visual Models
  • 13. Making One Whole Using Fraction Tiles
  • 14. Modeling Distributive Property
  • 15. Decimal Multiplication Word Problems
  • 16. Dividing Whole Numbers by Fractions Word Problems
  • 17. Estimating Sums of Fractions and Mixed Numbers Using a Number Line
  • 18. Modeling Decimal Multiplication
  • 19. Modeling Division as a Fraction
  • 20. Modeling Products of Mixed Numbers
  • 21. Dividing Whole Numbers by Unit Fractions
  • 22. Finding Unit Rates Using Models
  • 23. Adding and Subtracting Integers with Balloons and Sandbags
  • 24. Comparing Ratios with a Water Dye Simulation
  • 25. Finding the Percentage of a Number Using Tape Diagrams
  • 26. Perfect Squares and Square Roots Using Models
  • 27. Finding Percentage Increase
  • 28. Estimating Squares: Hot and Cold Activity
  • 29. Associative Property of Multiplication Using Models
  • 30. Calculating Distances Between Horizontal and Vertical Points Using a Car Exploration
  • 31. Comparing Quantities of Desserts Using Ratios
  • 32. Commutative Property of Multiplication Using Models
  • 33. Cubes of Numbers Using Visual Models

9.1.

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9.2.

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9.3.

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9.4.

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9.5.

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9.6.

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9.7.

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9.8.

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9.9.

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9.10.

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9.11.

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9.12.

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9.13.

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9.14.

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9.15.

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9.16.

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9.17.

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9.18.

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9.19.

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9.20.

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9.21.

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9.22.

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9.23.

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9.24.

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9.25.

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9.26.

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9.27.

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9.28.

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9.29.

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9.30.

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9.31.

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9.32.

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9.33.

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10.

运算实践

  • 1. Creating Division Equations Using Visual Models
  • 2. Two-Digit Addition and Subtraction Estimation Game
  • 3. Finding the Fraction in Word Problems
  • 4. Multiplying 2-Digit Numbers Using Partial Products
  • 5. Dividing Fractions
  • 6. Adding and Subtracting Multiple Fractions With Unlike Denominators
  • 7. Division Problems with Remainders
  • 8. Finding the Missing Fraction to Make a Whole
  • 9. Multiplication and Division with Multiples of Powers of Ten
  • 10. Multiplication and Division Estimation Game
  • 11. Multiplying up to Two-Digit Multiples of 10
  • 12. Solving Multi-Step Number Problems
  • 13. Multi-Digit Addition with Regrouping
  • 14. Multi-Digit Subtraction with Regrouping
  • 15. Writing Fractions as a Product of Unit Fractions Using a Tape Diagram
  • 16. Adding Fractions with Like and Unlike Denominators
  • 17. Writing Equivalent Forms of Expressions with Exponents
  • 18. Evaluating Fractions Raised to a Power
  • 19. Multiplying Negative Numbers
  • 20. Proportional Relationships in Real World Problems
  • 21. Simplifying Algebraic Expressions
  • 22. Adding and Subtracting Numbers in Scientific Notation
  • 23. Finding Vertical and Horizontal Distances Between Points
  • 24. Ratios in a Cupcake Recipe
  • 25. Midpoint of Rational Numbers
  • 26. Estimating Products of Decimals Using Area Models
  • 27. Mixed Number and Fraction Division

10.1.

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10.2.

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10.3.

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10.4.

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10.5.

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10.6.

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10.7.

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10.8.

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10.9.

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10.10.

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10.11.

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10.12.

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10.13.

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10.14.

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10.15.

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10.16.

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10.17.

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10.18.

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10.19.

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10.20.

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10.21.

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10.22.

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10.23.

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10.24.

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10.25.

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10.26.

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10.27.

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11.

概率统计-探索

  • 1. Creating Line Plots and Tables
  • 2. Venn Diagram Word Problems
  • 3. Finding Median of a Data Set
  • 4. Finding Probabilities: Spinner
  • 5. Finding Probabilities: Jar of Marbles
  • 6. Visualizing the Mean of a Data Set
  • 7. Finding Theoretical and Experimental Probabilities Using a Spinner Simulation
  • 8. Comparing Random and Biased Samples of Population
  • 9. Calculating Probability Using a Pinball Simulation
  • 10. Outlier Effect on Mean, Median, and Range
  • 11. Sprinkler System Line of Best Fit
  • 12. Range of a Herd of Cows
  • 13. Determining the Complement of a Spinner Event
  • 14. Comparing Box-and-Whisker and Dot Plots
  • 15. Visualizing Data Using Dot Plots
  • 16. Determining Population Trends Using a Sample Population
  • 17. Spinning Likelihood
  • 18. Scales and Intervals in Graphs

11.1.

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11.2.

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11.3.

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11.4.

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11.5.

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11.6.

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11.7.

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11.8.

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11.9.

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11.10.

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11.11.

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11.12.

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11.13.

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11.14.

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11.15.

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11.16.

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11.17.

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11.18.

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12.

概率统计-实践

  • 1. Interpreting Bar Graphs
  • 2. Building a Cityscape Bar Graph
  • 3. Creating Line Plots
  • 4. Finding the Mode of a Set
  • 5. Interpreting Stem and Leaf Plots
  • 6. Creating Double Line Graphs
  • 7. Determining the Sample Space of an Event by Building Furry Friends
  • 8. Creating Histograms from Data About a Popcorn Party
  • 9. Constructing a Histogram
  • 10. Interpreting Circle Graphs
  • 11. Determining the Best Measure of Central Tendency
  • 12. Calculating Compound Probabilities
  • 13. Drawing Box-and-Whisker Plots
  • 14. Creating Scatter Plots
  • 15. Predicting Outcomes Using Theoretical Probability
  • 16. Finding the Interquartile Range
  • 17. Linear vs. Nonlinear Relationships in Scatter Plots
  • 18. Calculating Mean Absolute Deviation (MAD)
  • 19. Statistical and Non-Statistical Questions
  • 20. Creating Dot Plots
  • 21. Describing Dot Plots Using the Best Measure of Variability
  • 22. Predicting Population Trends Based on a Sample Population
  • 23. Investigating Data Using MAD
  • 24. Finding Cookie Taste Test Probabilities
  • 25. Probability Estimation Using Simulation
  • 26. Outliers in Scatter Plots
  • 27. Interpreting Two-Way Tables

12.1.

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12.3.

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12.4.

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12.5.

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12.6.

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12.7.

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12.8.

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12.9.

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12.10.

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12.11.

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12.12.

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12.13.

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12.14.

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12.15.

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12.16.

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12.17.

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12.18.

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12.19.

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12.20.

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12.21.

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12.22.

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12.23.

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12.24.

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12.25.

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12.26.

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12.27.

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Information