Grade 3
  1. Number Sense and Numeration  1.1. Understanding Numbers  1.1.1. Reading and Writing Numbers up to 10,000  1.1.2. Place Value up to Thousands  1.1.3. Comparing and Ordering Numbers  1.1.4. Rounding Numbers to the Nearest Ten and Hundred  1.1.5. Skip Counting by 2s, 5s, 10s, and 100s up to 1,000  1.2. Operations with Whole Numbers  1.2.1. Addition and Subtraction up to 1,000  1.2.2. Multiplication Facts (up to 10 x 10)  1.2.3. Division Facts (up to 100)  1.2.4. Multiplication as Repeated Addition  1.2.5. Division as Equal Sharing  1.2.6. Word Problems with Addition, Subtraction, Multiplication, and Division  1.3. Estimation  1.3.1. Estimating Sums and Differences  1.3.2. Estimating Products and Quotients  1.4. Understanding Even and Odd Numbers
  2. Fractions and Decimals  2.1. Understanding Fractions  2.1.1. Identifying and Representing Fractions  2.1.2. Fractions of a Whole and Part of a Set  2.1.3. Comparing and Ordering Fractions with Like Denominators  2.1.4. Equivalent Fractions  2.1.5. Simple Fraction Word Problems  2.2. Introduction to Decimals  2.2.1. Tenths and Hundredths as Decimals  2.2.2. Relationship between Fractions and Decimals
  3. Measurement  3.1. Length  3.1.1. Measuring in Centimeters and Meters  3.1.2. Comparing and Ordering Lengths  3.1.3. Estimating Lengths  3.1.4. Converting Between Centimeters and Meters  3.2. Mass  3.2.1. Measuring in Grams and Kilograms  3.2.2. Estimating and Comparing Mass  3.3. Capacity  3.3.1. Measuring in Milliliters and Liters  3.3.2. Estimating and Comparing Capacity  3.4. Time  3.4.1. Telling Time to the Nearest Minute  3.4.2. Calculating Elapsed Time  3.4.3. Using a Calendar  3.4.4. Understanding A.M. and P.M.  3.5. Area and Perimeter  3.5.1. Calculating Perimeter of Simple Shapes  3.5.2. Estimating and Measuring Area of Shapes  3.5.3. Finding Area by Counting Squares
  4. Geometry  4.1. Properties of Shapes  4.1.1. Identifying 2D Shapes (Triangles, Quadrilaterals, Circles, etc.)  4.1.2. Identifying 3D Shapes (Cubes, Spheres, Cylinders, etc.)  4.1.3. Describing Attributes of 2D and 3D Shapes  4.1.4. Recognizing Parallel and Perpendicular Lines  4.2. Symmetry and Transformations  4.2.1. Recognizing Lines of Symmetry  4.2.2. Identifying Flips, Slides, and Turns  4.3. Angles  4.3.1. Understanding Right Angles  4.3.2. Comparing Angles (Acute, Right, Obtuse)
  5. Data Management and Probability  5.1. Data Collection and Organization  5.1.1. Collecting Data using Surveys and Experiments  5.1.2. Organizing Data using Tally Charts and Tables  5.2.1. Creating and Interpreting Pictographs  5.2.2. Creating and Interpreting Bar Graphs  5.2.3. Reading Simple Line Graphs  5.3. Probability  5.3.1. Understanding Basic Probability Terms (Certain, Possible, Impossible)  5.3.2. Predicting Outcomes  5.3.3. Simple Probability Experiments
  6. Patterns and Algebra  6.1. Patterns  6.1.1. Identifying and Extending Numeric Patterns  6.1.2. Identifying and Extending Shape Patterns  6.1.3. Creating Patterns Using Rules  6.2. Introduction to Algebra  6.2.1. Understanding Variables as Unknowns  6.2.2. Solving Simple Addition and Subtraction Equations  6.2.3. Using Patterns to Solve Problems
  7. Problem-Solving Skills  7.1. Strategies for Problem-Solving  7.1.1. Using Pictures or Diagrams  7.1.2. Identifying Patterns in Problems  7.1.3. Making Organized Lists  7.1.4. Guessing and Checking  7.1.5. Using Logical Reasoning  7.1.6. Breaking Down Problems into Steps

Grade 3 ↓


Data Management and Probability


Introduction

Data management and probability are essential concepts in mathematics that are becoming increasingly relevant in everyday life. In Grade 3, students begin to learn the basics of organizing, displaying, and interpreting data. They also begin to understand the concept of probability, which is the likelihood or probability of an event occurring. These concepts help students develop reasoning and analytical thinking skills.

Data management

Data management involves collecting, organizing, and interpreting data. Data can be anything, such as numbers, pictures, words, or symbols. The goal is to make sense of this data and use it to find answers to questions or solve problems. In grade 3, this usually involves creating and reading simple tables, graphs, and charts.

Data gathering

Collecting data is the first step in data management. Students can collect data through surveys, observations, or experiments. A simple way to start is to ask questions and record the answers.

Example

Suppose we want to know which fruit is most popular in the class. We can ask each student his or her favorite fruit and record the answers in a list.

Favorite Fruit:
1. Apple
2. Banana
3. Apple
4. Orange
5. Banana
6. Apples

Organizing the data

Once the data is collected, it must be organized to make it easier to analyze. One way to organize data is to use tables or tally charts.

Example

Using the collected fruit data, we can arrange it in a tally chart:

Total number of fruits
Apple ||| 3
Banana || 2
Orange | 1

Displaying the data

Data can be displayed using charts and graphs. These visual tools help us compare and understand data easily.

Bar graph example

A bar graph can show the data about our fruits:


  
  
  

  
  
  
  

  
  Apple
  banana
  orange

Each bar represents the number of students who chose each fruit as their favorite. The longer the bar, the more students chose that fruit.

Interpretation of the data

After being shown data, students learn to make sense of it. This means understanding what the data shows and being able to answer questions about it.

Example questions

  • Which fruit is most popular?
  • How many more students chose apple than orange?
  • Are bananas more popular than oranges?

Possibility

Probability is the study of how likely events are to occur. In Grade 3, students learn to identify and describe events as certain, probable, unlikely, or impossible.

Understanding the results

An outcome is a possible result of an event. For example, when a coin is tossed, the possible outcomes are heads or tails.

Description of probability

We describe probability using terms such as:

  • Certain - the event will definitely happen (e.g., the sun will rise tomorrow).
  • Probable - there is a good chance that the event will occur (for example, it might rain today).
  • Unlikely - this event is very unlikely to occur (for example, finding a four-leaf clover).
  • Impossible - the event cannot happen (e.g., a fish climbing a tree).

Simple exploration of probability

Students can explore probability through simple experiments, such as throwing dice or choosing cards from a deck.

Rolling the dice

A standard dice has six faces numbered from 1 to 6. Each number has an equal probability of appearing when the dice is thrown.

Possible outcomes: 1, 2, 3, 4, 5, 6

Example

What is the probability that 4 will come up?

There is 1 favorable outcome (rolling a 4) out of 6 possible outcomes. So, the probability is:

Probability = 1/6

Conclusion

In conclusion, data management and probability are fundamental aspects of mathematics that help organize information and understand patterns and possibilities. By learning these concepts in grade 3, students lay a foundation for more advanced mathematical thinking. Through practice, they become proficient at collecting data, creating and interpreting different types of charts and graphs, and understanding basic concepts of probability such as certainty, probability, and likelihood.


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Data Management and Probability

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