January Faculty Meeting 2015 Progression of Math Through the
Grades Specifically Focusing on the Four Operations Moving from
Place Value Charts (Concrete) to Algorithms (Abstract)
Slide 2
How would you solve 312 + 119= 427 x 3= 325/5= Things to think
about: Is understanding 5 or 10 an important foundation skill in
order to solve these problems? Is understanding place value
important in being able to solve these problems?
Slide 3
Video by Danielle Abrial
Slide 4
Discussion What terms did Danielle use? Does understanding a
quick five in kindergarten connect to operation work in later
grades? Is place value taught as an isolated skill/topic or part of
work with the operations?
Slide 5
How would you solve 5.241/3=
Slide 6
Video by Ryan Fitzgerald Dividing Using the Place Value Chart
Dividing Using the Place Value Chart
Slide 7
Discussion Did the same term distribute that Danielle used get
used by Ryan? Did the knowledge of how students used a place value
chart with the operations with whole numbers match what was seen
here with division with decimals?
Slide 8
Ultimate Goal Students will eventually be taught and perform
the algorithms for math (the quick math steps to solve problems).
However, this is not even mentioned or introduced until theyve had
so much practice with manipulatives and place value charts, to
ensure they understand how and why the math works, so the algorithm
makes sense to them rather just memorizing steps to solve
problems.
Slide 9
Math Studio Talks https://www.engageny.org/content/math-
studio-talk-common-core-instruction-video- series Available for K-5
for each domain taught CC = Counting and Cardinality OA =
Operations and Algebraic Thinking NBT = Numbers & Operation in
Base Ten NF = Numbers & Operations-Fractions MD = Measurement
& Data G = Geometry RP = Ratio & Proportional Relationships
NS = The Number System
Slide 10
How would you solve 3 x 1612= 23 x 34=
Slide 11
Watch a video Math Studio Talk 4th Grade, NBT (Numbers and
Operations in Base Ten) Math Studio Talk 4th Grade, NBT (Numbers
and Operations in Base Ten) First ten minutes.
Slide 12
Discussion Did you begin to see the bridge from moving from the
place value chart to the algorithm? Did you see some new ways of
solving multiplication rather than using the algorithm?
Slide 13
Math Studio Talks Great resource to watch videos for all of the
domains K- 5 to learn the models and techniques used to teach
math.