##
* *Reflection:
Making Connections Between Art Project and Dilations Day 1 of 3 - Section 1: Introducing the Lesson

I had some very intuitive responses to the brain storming discussion. One student compared the x-axis of the coordinate plane to the horizon line in perspective art and the center of dilation was like the vanishing point in perspective art. After this was put on the board, another student mentioned that as the shapes approached the center point they would shrink while moving farther away from the center would enlarge just like in perspective art in relation to the vanishing point. All of these observations were bang on!!! I was so thrilled they were already making such clear connections and had not even begun the activity yet. We used these conjectures to begin each day of the activity and remind ourselves what we thought might be true so we could decide if each was actually true in the coordinate plane.

*Delivery - Student Led Inquiry*

*Delivery - Student Led Inquiry*

# Making Connections Between Art Project and Dilations Day 1 of 3

Lesson 11 of 23

## Objective: SWBAT make clear connections between the perspective art project and dilations on the coordinate plane from a center point of dilation.

## Big Idea: This lesson will really help your students connect the dots between the perspective art project and the math of performing dilations on the coordinate plane using similar triangles.

*50 minutes*

#### Introducing the Lesson

*10 min*

I opened the lesson by just being explicit about the goals and purpose of the lesson. The learning goals are explicitly listed at the beginning of the activity as well because I feel it is important to always put the goal of the lesson in front of the students. If students are unsure of what they need to learn they may miss the point of the entire lesson (I know from personal experience).

The purpose is to help students make clear connections between the art project and performing dilations on the coordinate plane.

The goal is students will see how the mechanics of drawing a perspective art piece are actually the same as the mechanics of drawing a dilation on the coordinate plane using a center of dilation point.

After making the purpose and goal explicit to my students I open the floor to conjectures about what the students think we will learn. What do you think are the clear connections between perspective art and dilations? We make a list of their ideas on the board or even better on poster paper so we can refer back to these ideas as we work through the activity. I also put their name beside their idea to show ownership, encourage participation, and promote pride when they are correct.

*expand content*

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- LESSON 1: Introduction to Linear Equations in Two Variables
- LESSON 2: Speed Walking Through Proportional Relationships Day 1 of 2
- LESSON 3: Speed Walking Through Proportional Relationships Day2 of 2
- LESSON 4: Purchasing Cardstock - Earning Every Proportional Change
- LESSON 5: Discovering What it Means to be Similar Triangles
- LESSON 6: Discovering What it Means to be Similar Triangles Continued
- LESSON 7: Perspective Art Project
- LESSON 8: Movement In Linear Graphs Day 1 of 3
- LESSON 9: Movement in Linear Graphs Day 2 of 3
- LESSON 10: Movement in Linear Graphs day 3 of 3
- LESSON 11: Making Connections Between Art Project and Dilations Day 1 of 3
- LESSON 12: Making Connections Between Art Project and Dilations Day 2 of 3
- LESSON 13: Making Connections Between Art Project and Dilations Day 3 of 3
- LESSON 14: Applying Similar Triangles to Finding the Slope of a Linear Equation
- LESSON 15: Applying Similar Triangles to Finding the Slope of a LInear Equation Concluded
- LESSON 16: Applying Similar Triangles to Finding the Slope of a LInear Equation Concluded
- LESSON 17: Lines and Linear Equations Formative Assessment Lesson Day 1 of 2
- LESSON 18: Lines and Linear Equations Formative Assessment Lesson Day 2 of 2
- LESSON 19: Caffeinate Yourself Day 1 of 2
- LESSON 20: Caffeinate Yourself Day 2 of 2
- LESSON 21: Linear Equation Card Match
- LESSON 22: Linear Equations in Two Variables Unit Assessment
- LESSON 23: Linear Equations in Two Variables Unit Test Student Analysis