A small- and whole-group exploration geared toward creating a to-scale model of the solar system that fits within the walls of a classroom. By leveraging their understanding of ratios and scale factors, learners can scale down the actual distances between planets and the diameters of those planets to a reasonable size for display from the ceiling. WHAT’S INCLUDED This resource contains: –> Step-by-step instructions for accurately scaling down the diameters of the planets and distances from the Sun –> Teacher guide for strategic implementation in the classroom, leaning on the learners to provide the mathematical reasoning for building accurate models STORY In an effort to create a fun, visual representation of the Solar System during my astronomy unit, I came up with this activity. Instead of just being another art project, I decided to have learners flex their mathematical reasoning muscles to discover scale factors. IMPLEMENTATION This resource consists mainly of an activity which, through the teacher’s guidance, can facilitate great conversation about the connections between proportional reasoning and a scale model of the Solar System. Using two separate scale factors, learners will create a model with scaled planet diameters and distances from the Sun. With this, you will be able to create an accurate model for drawing deeper conclusions together in class. POSSIBLE EXTENSIONS There is always more research or exploration that can be done about the things scientists have discovered in our Solar System. MATERIALS/PRE-REQS Besides this resource, you may require: –> Computers with internet access –> Meter or yard stick –> Construction, butcher, or printer paper for creating planets

An independent and whole-group exploration of phenomenon related to how the Sun, Moon, and Earth interact using the scientific method. This resource touches on some key topics of early astronomy instruction: the Earth’s rotation, the Earth’s revolution around the Sun, moon phases, tides, eclipses, and the uneven heating of the Earth’s surface. WHAT’S INCLUDED This resource contains: –> 2 pages of rich, scientific questions related to the Sun, moon, and Earth –> Teacher guide for implementation with plenty of links to other exciting resources about Space –> Answer Key with explanations, sample diagrams, other resources, and digging deeper questions STORY I created an astronomy unit around the same time that my learners were also exploring the scientific method. As a way to reinforce the connection between the two, I developed this activity which prompts students to hypothesize about 6 key Earth-related questions. IMPLEMENTATION This resource consists mainly of a worksheet which, through the teacher’s guidance, can facilitate deep conversation about how the heavenly bodies of our Solar System interact. The exploration begins with an independent task; learners will hypothesize about why certain phenomena occur, like “how do night and day occur?” or “what causes seasons?” Then a whole-group discussion brings about the variety of postulates in the room. Learners should be encouraged to model their thinking to their peers with a globe and a flashlight. The learning community then comes to an agreement on their collective theory of why a certain phenomenon happens. Then, after a little exploration together of the provided resources, learners are able to synthesize what they discovered through a drawing and explanation of their own. POSSIBLE EXTENSIONS This file includes multiple links to deeper questions about the universe or interesting developments in our understanding of Space. MATERIALS/PRE-REQS Besides this resource, you may require: –> Computers with internet access –> A Globe (or something to model the Earth like a basketball) –> A Flashlight (or a light to model the sun - must be bright & direct enough to cast shadows) –> A “Moon” (something relative to the size of your “Earth” to model the moon like a tennis ball)

A whole-group mathematical exploration of a Magic Square. This resource creates space for a learning community founded on discourse, theorization, generalization, and justification. Learners are encouraged to bring ideas forward within the conversation and prove or disprove each other’s theories about the patterns they discover within this model. This activity is used best to push learners toward deep, critical thought about a mathematical scenario. WHAT’S INCLUDED This resource contains: -> 1 mathematical scenario -> Detailed instructions on how to lead students into deep, critical thought about mathematics -> 7 possible student discoveries with explanations -> Plenty of possibility for extension, deeper discussion, or lesson ideas STORY A lot of my work this school year has led me to really pushing learners outside the usual confines of the worksheet-based, industrial model of education. More than ever, I am discovering how to really push my learners to see beyond the obvious: making observations, developing generalizations and justifying their theories. Learning inside my classroom has moved from something I assign to learners to something that my learners explore and discover for themselves. This and my other pattern exploration activities are examples of things I used this year to drive that deep thought. IMPLEMENTATION This resource is primarily for the teacher’s eyes only. It gives clear instructions for how to set up a conversation about the mathematics in play in a Magic Square. While seven expected discoveries are shown, it is certainly not an exhaustive list and it is not meant to be shared directly with learners. As the resource explains, the entire purpose is to have learners make the mathematical discoveries themselves. POSSIBLE EXTENSIONS Possible extensions are included in the file! There is always more research or exploration that can be done when we are drawing conclusions about sequences and patterns. MATERIALS/PREREQUISITES Besides this resource, you may require: -> Time and practice to condition your learners to know what a productive mathematical discussion looks like and sounds like -> Computer and Internet access

A whole-group mathematical exploration of Sierpinski’s Triangle. This resource creates space for a learning community founded on discourse, theorization, generalization, and justification. Learners are encouraged to bring ideas forward within the conversation and prove or disprove each other’s theories about the patterns they discover within this model. This activity is used best to push learners toward deep, critical thought about a mathematical scenario. WHAT’S INCLUDED This resource contains: -> 1 mathematical scenario -> Detailed instructions on how to lead students into deep, critical thought about mathematics -> 7 possible student discoveries with explanations -> Plenty of possibility for extension, deeper discussion, or lesson ideas STORY A lot of my work this school year has led me to really pushing learners outside the usual confines of the worksheet-based industrial model of education. More than ever, I am discovering how to really push my learners to see beyond the obvious: making observations, developing generalizations and justifying their theories. Learning inside my classroom has moved from something I assign to learners to something that my learners explore and discover for themselves. This and my other pattern exploration activities are examples of things I used this year to drive that deep thought. IMPLEMENTATION This resource is primarily for the teacher’s eyes only. It gives clear instructions for how to set up a conversation about the mathematics in play in Sierpinski’s Triangle. While seven expected discoveries are shown, it is certainly not an exhaustive list and it is not meant to be shared directly with learners. As the resource explains, the entire purpose is to have learners make the mathematical discoveries themselves. POSSIBLE EXTENSIONS Possible extensions are included in the file! There is always more research or exploration that can be done when we are drawing conclusions about sequences and patterns. Or have learners create their own shape with fractional pieces. MATERIALS/PREREQUISITES Besides this resource, you may require: -> Time and practice to condition your learners to know what a productive mathematical discussion looks like and sounds like -> Computer and Internet access

A whole-group mathematical exploration of the Multiplication Table / Times Table. This resource creates space for a learning community founded on discourse, theorization, generalization, and justification. Learners are encouraged to bring ideas forward within the conversation and prove or disprove each other’s theories about the patterns they discover within this model. This activity is used best to push learners toward deep, critical thought about a mathematical scenario. WHAT’S INCLUDED This resource contains: -> 1 mathematical scenario -> Detailed instructions on how to lead students into deep, critical thought about mathematics -> 7 possible student discoveries with explanations -> Plenty of possibility for extension, deeper discussion, or lesson ideas STORY A lot of my work this school year has led me to really pushing learners outside the usual confines of the worksheet-based industrial model of education. More than ever, I am discovering how to really push my learners to see beyond the obvious: making observations, developing generalizations and justifying their theories. Learning inside my classroom has moved from something I assign to learners to something that my learners explore and discover for themselves. This and my other pattern exploration activities are examples of things I used this year to drive that deep thought. IMPLEMENTATION This resource is primarily for the teacher’s eyes only. It gives clear instructions for how to set up a conversation about the mathematics in play in the Multiplication Table. While seven expected discoveries are shown, it is certainly not an exhaustive list and it is not meant to be shared directly with learners. As the resource explains, the entire purpose is to have learners make the mathematical discoveries themselves. It makes the most sense to bring in this activity before students are formally familiar with multiplication and the structure of the table. Even so, this model differs slightly from the traditional layout and display allowing for the focus to be on finding patterns than recalling “how the times tables work.” POSSIBLE EXTENSIONS Possible extensions are included in the file! There is always more research or exploration that can be done when we are drawing conclusions about sequences and patterns. MATERIALS/PREREQUISITES Besides this resource, you may require: -> Time and practice to condition your learners to know what a productive mathematical discussion looks like and sounds like -> Computer and Internet access

A whole-group mathematical exploration of the Hundred Chart from https://mathforlove.com. This resource creates space for a learning community founded on discourse, theorization, generalization, and justification. Learners are encouraged to bring ideas forward within the conversation and prove or disprove each other’s theories about the patterns they discover within this model. This activity is used best to push learners toward deep, critical thought about a mathematical scenario. WHAT’S INCLUDED This resource contains: -> 1 mathematical scenario -> Detailed instructions on how to lead students into deep, critical thought about mathematics -> 7 possible student discoveries with explanations -> Plenty of possibility for extension, deeper discussion, or lesson ideas STORY A lot of my work this school year has led me to really pushing learners outside the usual confines of the worksheet-based industrial model of education. More than ever, I am discovering how to really push my learners to see beyond the obvious: making observations, developing generalizations and justifying their theories. Learning inside my classroom has moved from something I assign to learners to something that my learners explore and discover for themselves. This and my other pattern exploration activities are examples of things I used this year to drive that deep thought. IMPLEMENTATION This resource is primarily for the teacher’s eyes only. It gives clear instructions for how to set up a conversation about the mathematics in play in this very special Hundred Chart. While seven expected discoveries are shown, it is certainly not an exhaustive list and it is not meant to be shared directly with learners. As the resource explains, the entire purpose is to have learners make the mathematical discoveries themselves. POSSIBLE EXTENSIONS Possible extensions are included in the file! There is always more research or exploration that can be done when we are drawing conclusions about sequences and patterns. Or have learners create their hundred chart with numerical patterns. MATERIALS/PREREQUISITES Besides this resource, you may require: -> Time and practice to condition your learners to know what a productive mathematical discussion looks like and sounds like -> Computer and Internet access

A whole-group mathematical exploration of Pascal’s Triangle. This resource creates space for a learning community founded on discourse, theorization, generalization, and justification. Learners are encouraged to bring ideas forward within the conversation and prove or disprove each other’s theories about the patterns they discover within this model. This activity is used best to push learners toward deep, critical thought about a mathematical scenario. WHAT’S INCLUDED This resource contains: -> 1 mathematical scenario -> Detailed instructions on how to lead students into deep, critical thought about mathematics -> 7 possible student discoveries with explanations -> Plenty of possibility for extension, deeper discussion, or lesson ideas STORY A lot of my work this school year has led me to really pushing learners outside the usual confines of the worksheet-based industrial model of education. More than ever, I am discovering how to really push my learners to see beyond the obvious: making observations, developing generalizations and justifying their theories. Learning inside my classroom has moved from something I assign to learners to something that my learners explore and discover for themselves. This and my other pattern exploration activities are examples of things I used this year to drive that deep thought. IMPLEMENTATION This resource is primarily for the teacher’s eyes only. It gives clear instructions for how to set up a conversation about the mathematics in play in Pascal’s Triangle. While seven expected discoveries are shown, it is certainly not an exhaustive list and it is not meant to be shared directly with learners. As the resource explains, the entire purpose is to have learners make the mathematical discoveries themselves. POSSIBLE EXTENSIONS Possible extensions are included in the file! There is always more research or exploration that can be done when we are drawing conclusions about sequences and patterns. Or have learners create their own triangle with numerical patterns. MATERIALS/PREREQUISITES Besides this resource, you may require: -> Time and practice to condition your learners to know what a productive mathematical discussion looks like and sounds like -> Computer and Internet access