Illustrative Math Alignment: Grade 7 Unit 2

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

Topic

Geometry Concepts

Description

This image depicts a scale drawing of a square that has been scaled up by a factor of 1:2. This means that each side of the square in the drawing is twice the length of the corresponding side in the actual object. Scale drawings are essential for accurately representing objects in a manageable size while maintaining proportionality.

Teacher's Script: "Observe this scale drawing of a square. How does the 1:2 scale factor help us understand the relationship between the drawing and the actual square? What are some real-world applications of scaling up objects, such as in architecture or design?"

Topic

Geometry Concepts

Description

This image illustrates a scale drawing of a square that has been scaled up by a factor of 1:3. Each side of the square in the drawing is three times the length of the corresponding side in the actual object. This scaling helps in visualizing larger versions of objects while maintaining accurate proportions.

Teacher's Script: "Look at this scale drawing of a square. How does the 1:3 scale factor affect the dimensions of the drawing compared to the actual square? What are some mathematical concepts you can explore using scale drawings, such as ratios or proportions?"

Topic

Geometry Concepts

Description

This image shows a scale drawing of a rectangle that has been scaled up by a factor of 1:4. Each side of the rectangle in the drawing is four times the length of the corresponding side in the actual object. This scaling is useful for enlarging objects while maintaining their proportional dimensions.

Teacher's Script: "Examine this scale drawing of a rectangle. How does the 1:4 scale factor influence the size of the drawing compared to the actual rectangle? What are some real-world applications of scaling up objects, such as in engineering or construction?"

Topic

Geometry Concepts

Description

This image illustrates a scale drawing of a rectangle that has been scaled up by a factor of 1:5. Each side of the rectangle in the drawing is five times the length of the corresponding side in the actual object. Scale drawings like this are crucial for visualizing larger versions of objects while maintaining accurate proportions.

Teacher's Script: "Observe this scale drawing of a rectangle. How does the 1:5 scale factor affect the dimensions of the drawing compared to the actual rectangle? What are some mathematical concepts you can explore using scale drawings, such as ratios or proportions?"

Topic

Geometry Concepts

Description

This image depicts a scale drawing of a right triangle that has been scaled down by a factor of 5:1. This means each side of the triangle in the drawing is one-fifth the length of the corresponding side in the actual object. Scaling down is useful for creating manageable representations of larger objects.

Teacher's Script: "Examine this scale drawing of a right triangle. How does the 5:1 scale factor help us understand the relationship between the drawing and the actual triangle? What are some real-world applications of scaling down objects, such as in model making or map creation?"

Topic

Geometry Concepts

Description

This image illustrates a scale drawing of a right triangle that has been scaled down by a factor of 4:1. Each side of the triangle in the drawing is one-fourth the length of the corresponding side in the actual object. This scaling helps in visualizing smaller versions of objects while maintaining accurate proportions.

Teacher's Script: "Observe this scale drawing of a right triangle. How does the 4:1 scale factor affect the dimensions of the drawing compared to the actual triangle? What are some mathematical concepts you can explore using scale drawings, such as ratios or proportions?"

Topic

Geometry Concepts

Description

This image depicts a scale drawing of a right triangle that has been scaled down by a factor of 3:1. Each side of the triangle in the drawing is one-third the length of the corresponding side in the actual object. Scaling down is useful for creating manageable representations of larger objects.

Teacher's Script: "Examine this scale drawing of a right triangle. How does the 3:1 scale factor help us understand the relationship between the drawing and the actual triangle? What are some real-world applications of scaling down objects, such as in model making or map creation?"

Topic

Geometry Concepts

Description

This image illustrates a scale drawing of a right triangle that has been scaled down by a factor of 2:1. Each side of the triangle in the drawing is one-half the length of the corresponding side in the actual object. This scaling helps in visualizing smaller versions of objects while maintaining accurate proportions.

Teacher's Script: "Observe this scale drawing of a right triangle. How does the 2:1 scale factor affect the dimensions of the drawing compared to the actual triangle? What are some mathematical concepts you can explore using scale drawings, such as ratios or proportions?"

Topic

Geometry Concepts

Description

This image depicts a square undergoing a dilation transformation. Dilation changes the size of a figure while maintaining its shape, resulting in a similar figure. The scale factor of the dilation determines whether the square is enlarged or reduced.

In this transformation, all sides of the square are scaled by the same factor, and all angles remain congruent to the original. This preserves the square's shape while changing its size, demonstrating the concept of similarity in geometry.

Topic

Geometry Concepts

Description

This image shows a square undergoing a combination of dilation and translation. The dilation changes the size of the square while maintaining its shape, and the translation moves the dilated square to a new position without changing its size or orientation.

This composite transformation demonstrates how multiple transformations can be applied sequentially. The resulting figure is similar to the original square but different in size and position.

Topic

Geometry Concepts

Description

This image illustrates a rectangle undergoing a combination of dilation, translation, and rotation. The dilation changes the size of the rectangle, the translation moves it to a new position, and the rotation changes its orientation.

This complex transformation demonstrates how multiple transformations can be combined to create a figure that is similar to the original but different in size, position, and orientation. The resulting figure maintains the proportions of the original rectangle.

Topic

Geometry Concepts

Description

This image shows a rectangle undergoing a combination of dilation and rotation. The dilation changes the size of the rectangle while maintaining its proportions, and the rotation changes its orientation.

This transformation demonstrates how a figure can be both resized and reoriented while maintaining its shape. The resulting figure is similar to the original rectangle but different in size and orientation.

Topic

Geometry Concepts

Description

This image depicts a triangle undergoing a rotation transformation. The rotation changes the orientation of the triangle without altering its size or shape.

This transformation demonstrates how a figure can be moved around a fixed point (the center of rotation) while maintaining its congruence to the original shape. The resulting triangle is identical to the original in all aspects except its orientation.

Topic

Geometry Concepts

Description

This image shows a triangle undergoing a translation transformation. The translation moves the triangle to a new position without changing its size, shape, or orientation.

This transformation demonstrates how a figure can be moved in a straight line without any other changes. The resulting triangle is congruent to the original and maintains all its properties, only differing in its position.

Topic

Geometry Concepts

Description

This image illustrates a triangle undergoing a combination of translation and rotation. The translation moves the triangle to a new position, and the rotation changes its orientation.

This composite transformation demonstrates how multiple transformations can be applied sequentially. The resulting triangle is congruent to the original but different in both position and orientation.

Topic

Geometry Concepts

Description

This image shows a triangle undergoing a combination of dilation and translation performed twice. The dilation changes the size of the triangle while maintaining its shape, and the translations move it to new positions.

This complex transformation demonstrates how multiple transformations can be applied repeatedly. The resulting triangles are similar to the original but differ in size and position.

Topic

Geometry Concepts

Description

This image depicts a trapezoid reflected across a horizontal line. Reflection creates a mirror image of the original figure across a line of reflection.

This transformation demonstrates how a figure can be flipped over a line to create its mirror image. The resulting trapezoid is congruent to the original but inverted vertically.

Teacher's Script: "Observe how the trapezoid is reflected across the horizontal line. What properties of the trapezoid remain unchanged? How does the orientation of the trapezoid change after reflection? Can you identify the line of reflection?"

Topic

Geometry Concepts

Description

This image shows a kite reflected across a horizontal line, followed by a dilation. Reflection creates a mirror image of the original figure across a line of reflection. Dilation changes the size of the original figure but keeps it proportional.

This transformation demonstrates how a figure can be flipped over a line to create its mirror image. The resulting kite is similar to the original but inverted vertically.

Topic

Geometry Concepts

Description

This image illustrates an irregular hexagon reflected across a vertical line. Reflection creates a mirror image of the original figure across a line of reflection.

This transformation demonstrates how a complex figure can be flipped over a vertical line to create its mirror image. The resulting hexagon is congruent to the original but reversed horizontally.

Topic

Ratios, Proportions, and Percents

Description

This image showcases the concept of proportions using a dynamic visual of a runner in action framed within a golden ratio spiral. The proportion is represented algebraically as a/b = c/d, linking visual and mathematical representations. It introduces proportions conceptually and visually, setting the foundation for the subsequent examples.

Topic

Ratios, Proportions, and Percents

Description

This image showcases the concept of proportions using a dynamic visual of a runner in action framed within a golden ratio spiral. The proportion is represented algebraically as a/b = c/d, linking visual and mathematical representations. It introduces proportions conceptually and visually, setting the foundation for the subsequent examples.

Topic

Ratios, Proportions, and Percents

Description

This image illustrates proportions using two equivalent ratios, represented by measuring cups and cupcakes. It simplifies proportions to relatable everyday examples. It connects proportions to practical examples, emphasizing the real-world relevance.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.