Sequences Interactive Notebook Pages - Algebra 1
Saturday, August 17, 2019
algebra,
Algebra 1,
Arithmetic Sequences,
Discrete vs Continuous,
Exponentials,
Fibonacci Sequence,
Geometric Sequences,
graphic organizer,
INB,
interactive notebook,
printable,
Sequences and Series,
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Due to a publish of circumstances (losing days due to the walkout in addition to other events during the year) during the final schoolhouse year, I sadly did non learn inwards all the means through our Algebra 1 standards. I ended upwardly having to skip over information in addition to probability which is peculiarly heart-breaking because I had a lot of fun edifice those units final year.
So, the final unit of measurement inwards our interactive notebooks for the twelvemonth inwards Algebra 1 was Sequences.
We began past times talking nigh dissimilar types of sequences. In retrospect, I recollect I should bring began this unit of measurement alongside a menu variety where students had to do their ain methods of sorting sequences. I wonder if their sorting methods would endure similar to the means nosotros course of teaching sequences every bit mathematicians.
More exercise cheers to Mathspad! I dear this website.
Next, nosotros focused on our efforts on arithmetics sequences. I used almost identical notes to final twelvemonth alongside the exception of adding the tabular array for students to fill upwardly out. The tabular array actually helped this lesson become much smoother! Silly me added the tabular array to their notes merely non to the quiz, in addition to I definitely heard roughly frustration over that move!
After figuring out how to discovery the dominion using a graph, nosotros tried our mitt at finding the dominion for an arithmetics sequence without using a graph. Some of my students caught on correct away. Others took a flake longer to pick out handgrip of on.
Now, it's fourth dimension for geometric sequences. We did this notebook page over the important of the dissimilar variables inwards our equation.
We completed a similar tabular array for geometric sequences.
Then, nosotros did roughly graphing to present that the graph of a geometric sequence is really dissimilar than the graph of an arithmetics sequence. I actually learn by alongside how to develop the graphing for this notebook page since exponential functions grow in addition to then fast. :(
This past times year, i of the big things I emphasized inwards Algebra 1 was whether our graphs should endure discrete or continuous. In the past, when nosotros did these notes, I would describe inwards the flexure to emphasize that geometric sequences cast an exponential human relationship when graphed. This year, I realized that because the sequence exclusively includes discrete values that nosotros shouldn't connect the dots. This was difficult for me. I experience similar it's much harder to encounter the exponential human relationship without the line, merely it led to a keen conversation inwards cast when a educatee asked if nosotros could connect the dots.
Files for this unit of measurement are uploaded here.
So, the final unit of measurement inwards our interactive notebooks for the twelvemonth inwards Algebra 1 was Sequences.
We began past times talking nigh dissimilar types of sequences. In retrospect, I recollect I should bring began this unit of measurement alongside a menu variety where students had to do their ain methods of sorting sequences. I wonder if their sorting methods would endure similar to the means nosotros course of teaching sequences every bit mathematicians.
Once nosotros had definitions for each type of sequence, nosotros spent a lot of fourth dimension classifying sequences in addition to finding the side past times side value(s). Sorry for the finger inwards the photo!
More exercise cheers to Mathspad! I dear this website.
Next, nosotros focused on our efforts on arithmetics sequences. I used almost identical notes to final twelvemonth alongside the exception of adding the tabular array for students to fill upwardly out. The tabular array actually helped this lesson become much smoother! Silly me added the tabular array to their notes merely non to the quiz, in addition to I definitely heard roughly frustration over that move!
After figuring out how to discovery the dominion using a graph, nosotros tried our mitt at finding the dominion for an arithmetics sequence without using a graph. Some of my students caught on correct away. Others took a flake longer to pick out handgrip of on.
Now, it's fourth dimension for geometric sequences. We did this notebook page over the important of the dissimilar variables inwards our equation.
We completed a similar tabular array for geometric sequences.
Then, nosotros did roughly graphing to present that the graph of a geometric sequence is really dissimilar than the graph of an arithmetics sequence. I actually learn by alongside how to develop the graphing for this notebook page since exponential functions grow in addition to then fast. :(
This past times year, i of the big things I emphasized inwards Algebra 1 was whether our graphs should endure discrete or continuous. In the past, when nosotros did these notes, I would describe inwards the flexure to emphasize that geometric sequences cast an exponential human relationship when graphed. This year, I realized that because the sequence exclusively includes discrete values that nosotros shouldn't connect the dots. This was difficult for me. I experience similar it's much harder to encounter the exponential human relationship without the line, merely it led to a keen conversation inwards cast when a educatee asked if nosotros could connect the dots.
Files for this unit of measurement are uploaded here.
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