Linear Vs Non-Linear Functions Inb Pages
Thursday, October 3, 2019
Activities,
algebra,
Algebra1,
Frayer Model,
interactive notebook,
lessons,
problem solving strategies,
Vocabulary
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Daily, I am learning how to move a ameliorate teacher. I know what worked good for my students final year. And, I know what didn't piece of work hence well. Last year, I assumed that if I taught my students the Definition of a linear function, they would move able to apply that Definition as well as utilisation it to notice the missing value of a function. I assumed incorrectly. Last year, I taught my students the vocabulary, but I didn't plow over them the practise they needed to move successful amongst this type of enquiry on our end-of-instruction exams.
I decided this twelvemonth was going to move different. Instead of spending xv minutes discussing linear vs. non-linear as well as hence moving on, nosotros spent an entire flat catamenia working amongst linear as well as non-linear functions.
We started out past times creating a frayer model for linear functions. I provided students amongst the Definition as well as characteristics. They worked together, every bit a class, to do their ain examples as well as non-examples. In almost every class, i pupil would propose that a vertical job was an instance of a linear function. It was a happy instructor minute for me when roughly other pupil would realize as well as explicate to the flat why the vertical job belonged inwards the non-example box. Student propelled discussions are awesome! I demand to cause got to a greater extent than of them inwards my classroom.
Next, I gave my students a canvass of problems to cutting apart. The get-go matter nosotros looked at was a laid upward of tables. Students were tasked amongst determining if the tabular array represented a linear part or a non-linear function.
This was the perfect chance to utilisation colouring amongst a purpose. Students used i colouring of marking to notice the charge per unit of measurement of modify betwixt the get-go ii lines inwards the table. Students used a dissimilar colouring of marking for the charge per unit of measurement of modify betwixt the 2d as well as 3rd lines inwards the table. And, they used a 3rd colouring to notice the charge per unit of measurement of modify betwixt the 3rd as well as 4th lines.
In retrospect, I should cause got given my students to a greater extent than of these tables to practise with. But, nosotros moved on side past times side to roughly practise EOI questions. These are the questions that I had merely assumed inwards the past times that my students would move able to solve on their own. We expert finding the designing / charge per unit of measurement of change. And, nosotros extended the tables every bit necessary to notice the requested values.
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I decided this twelvemonth was going to move different. Instead of spending xv minutes discussing linear vs. non-linear as well as hence moving on, nosotros spent an entire flat catamenia working amongst linear as well as non-linear functions.
We started out past times creating a frayer model for linear functions. I provided students amongst the Definition as well as characteristics. They worked together, every bit a class, to do their ain examples as well as non-examples. In almost every class, i pupil would propose that a vertical job was an instance of a linear function. It was a happy instructor minute for me when roughly other pupil would realize as well as explicate to the flat why the vertical job belonged inwards the non-example box. Student propelled discussions are awesome! I demand to cause got to a greater extent than of them inwards my classroom.
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| Linear Function Frayer Model for Interactive Notebook |
This was the perfect chance to utilisation colouring amongst a purpose. Students used i colouring of marking to notice the charge per unit of measurement of modify betwixt the get-go ii lines inwards the table. Students used a dissimilar colouring of marking for the charge per unit of measurement of modify betwixt the 2d as well as 3rd lines inwards the table. And, they used a 3rd colouring to notice the charge per unit of measurement of modify betwixt the 3rd as well as 4th lines.
In retrospect, I should cause got given my students to a greater extent than of these tables to practise with. But, nosotros moved on side past times side to roughly practise EOI questions. These are the questions that I had merely assumed inwards the past times that my students would move able to solve on their own. We expert finding the designing / charge per unit of measurement of change. And, nosotros extended the tables every bit necessary to notice the requested values.
I'm actually glad I printed these questions off as well as had my students gum them inwards their notebooks. This allowed students to write all over the questions without having to worry almost copying downwards the questions.
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| Interactive Notebook Pages 1-2: Linear vs Non-Linear Functions |
Is this teaching to the test? Yes. But, I intend it's to a greater extent than than that. This is me equipping my students amongst tools that they demand to move successful. Students cause got to move taught to organize their work. They demand to come across dissimilar ways to approach problems. As nosotros worked through these problems together, give-and-take naturally happened. In roughly classes, a few students would realize that nosotros could accept a short-cut that would continue us from having to depict extra lines on our tables. Part of the flat would utilisation the short-cut. The remainder of us would write out the process, step-by-step. We would compare answers as well as utter over why the curt cutting worked.
Last year, my students would panic when they would come across problems similar this. This year, they thought them every bit a form of puzzle that they cause got the tools to figure out. I thought that every bit a win!
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| Interactive Notebook Page 3: Linear vs Non-Linear Functions |
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