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 → Measurement → Mass ↓


Measuring in Grams and Kilograms


Welcome to the fascinating world of measuring mass using grams and kilograms! Understanding how to measure mass is an essential part of learning math, especially in third grade. It helps us understand how heavy or light objects are in our daily lives, from groceries to toys and much more.

What is mass?

Mass is a measure of how much matter (or stuff) an object contains. Unlike weight, which can change with location due to gravity, mass remains constant. We usually measure mass in units called grams and kilograms.

Basic units of mass: grams and kilograms

Before we dive deeper, let's introduce two important units of measuring mass:

  • Grams (g): Grams are small units of mass. We use them to measure light objects. For example, a teaspoon of sugar weighs about 4 grams.
  • Kilogram (kg): Kilograms are large units of mass, and we use them for heavy objects. For example, a textbook might weigh about 1 kilogram.

Converting grams to kilograms

Understanding the relationship between grams and kilograms is very important to convert from one unit to another. Here is the main conversion rule:

1 kilogram (kg) = 1,000 grams (g)

This means that if you have a mass in grams, you can convert it to kilograms by dividing it by 1,000. Similarly, if you want to convert kilograms to grams, you must multiply by 1,000.

Visual example

Example 1: Understanding grams

1 apple = 150 grams

Imagine you have an apple. Typically, an apple weighs about 150 grams. In this example, it is best to measure the apple in grams because it is not a heavy object.

Example 2: Understanding kilograms

1 sack of rice = 2 kilograms

Now, consider a large bag of rice that weighs 2 kilograms. Since it is very heavy, we use kilograms to express its mass.

Practice with grams and kilograms

Let's look at some examples:

Example 1: Converting grams to kilograms

Suppose you have a packet weighing 2,500 grams and you want to know its weight in kilograms. Use the conversion:

2,500 grams / 1,000 = 2.5 kilograms

So, the package weight is 2.5 kg.

Example 2: Converting kilograms to grams

Imagine you have another packet weighing 3.3 kg. To convert its weight to grams, do the following:

3.3 kilograms * 1,000 = 3,300 grams

Therefore, the package weighs 3,300 grams.

Understanding practical measurement

Weight of ingredients in cooking

Cooking often involves weighing ingredients for delicious recipes. For example, when baking, you might measure 200 grams of flour for cookies. Understanding grams helps ensure you have the right amount when cooking.

Shop for groceries

When you shop, many foods are weighed in kilograms and grams. If you buy a bunch of bananas, their weight may be listed in kilograms, making it easier to choose the right amount.

Experiments and activities with grams and kilograms

Try these fun activities:

Activity 1: Grouping of household items

Walk around your house and find different objects. Figure out whether it's better to measure each object in grams or kilograms. Then, test them by weighing them on a scale. Examples of objects to try: a book, a remote control, a pillow.

Activity 2: Create a mass chart

Create a chart listing different objects and their weights in grams and kilograms. For example, you might record that a bag of flour weighs 1 kilogram and a pencil weighs 10 grams.

Challenges and questions

Here are some questions to test your understanding:

  1. If a chicken weighs 1,500 grams, how many kilograms will it weigh?
    Answer: 1,500 grams / 1,000 = 1.5 kilograms
  2. You have 4 liters of water and each liter weighs 1 kilogram. How many grams is this?
    Answer: 4 kilograms * 1,000 = 4,000 grams
  3. If you have three objects weighing 350 g, 190 g and 460 g, what is their total weight in grams and kilograms?
    Answer: Total in grams = 350 + 190 + 460 = 1,000 grams Total in kilograms = 1,000 grams / 1,000 = 1 kilogram

Conclusion

Understanding how to measure and convert grams and kilograms is a basic skill in math. It allows you to engage in shopping, cooking, and other practical activities with confidence. Keep practicing, and soon, measuring in grams and kilograms will become second nature to you!


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Measuring in Grams and Kilograms

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