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 → Geometry → Symmetry and Transformations ↓


Identifying Flips, Slides, and Turns


In geometry, it is very important to understand how shapes move. There are many ways a shape can change its state without changing its size or shape. These movements are called transformations. Basic transformations include flips, slides, and turns. These help us understand and describe the movement of shapes in space.

Flips

A flip is also called a reflection. Think of a flip as if you were looking in a mirror. When you see your reflection, it seems as if everything has turned to the opposite side. In geometry, flipping a shape means creating a mirror image of it across a line. This line is called the line of reflection.

Example of a flip

Consider a triangle placed inverted on a vertical line.

Original Triangle: / /  /____ Reflected Triangle:  /  / (Flipped) /

The triangle forms its mirror image by rotating about a vertical line.

The flip can occur on horizontal or vertical lines, and sometimes on diagonal lines as well. The flip always means that the figure looks like a mirror image after reflection.

Slides

Slides are also known as translations. Slides move a shape from one place to another without rotating or flipping it. The shape remains the same, but its position changes. Think of sliding a book across a table. The book's position changes, but the way it looks doesn't.

Example of a slide

Imagine sliding that same triangle horizontally to the right.

Original Triangle: / /  /____ Slide Right: / /  /____ (Slid Right)

The triangle moves straight to the right without turning or turning.

During the slide, every point in the shape moves the same distance and in the same direction. If one point moves three places to the right, every point in the shape moves three places to the right.

Turns

A turn is also known as a rotation. When we rotate a shape, we rotate it around a point. This point is called the center of rotation. A turn can be clockwise or counterclockwise. Think of how the hands of a clock move. They move around the center of the clock.

Example of a turn

Imagine rotating the triangle 90 degrees clockwise.

Original Triangle:
 / /  /____ Turned 90 Degrees: | |/ (Turned clockwise)

The triangle rotates about a fixed point in clockwise direction.

During the rotation of a figure, all its points move in a circle around a given center of rotation. The distance of any point of the figure from the center of rotation remains the same.

Combination of flips, slides and turns

Sometimes, a shape can undergo more than one transformation. For example, you can slide a shape and then flip it, or rotate it and then slide it. Each of these transformations can be combined in different ways to get new positions and directions for the shapes.

Example of combining conversions

Suppose we move a rectangle, then flip it.

Original Rectangle: ____ | | |____| Slide and Flip: (Slide Right) ____ | | |____| (Flip)

When you first slide the rectangle to the right and then flip it over a vertical line, it gets a new position and a mirror image.

Conclusion

Understanding flips, slides, and turns is important for knowing how shapes can rotate and change their position in space. Whether a shape is flipped, slid, or turned, these transformations help us understand more about their behavior and properties. As you continue to study geometry, these transformations will become easier to recognize, and you will be able to describe them more accurately with practice.


Grade 3 → 4.2.2


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Identifying Flips, Slides, and Turns

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