Common Core State Standards
Math & Robotics Connections
Ver. 10.28.12
RoboRAVE International
Common Core State Standards for Math (CCSS)
Table of Contents
1) Pre-questions
2) 8 CCSS Mathematical Practices – 8 pages
1) Make sense, 2) Reason abstractly, 3) Construct arguments, 4) Model with,
5) Use tools, 6) Attend precision, 7) Use structure, 8) Repeated reasoning
3) Post-questions
4) Additional Resources & Contact Information
RoboRAVE International
Common Core State Standards for Math
Pre-questions (Table of Contents)
Common Core State Standards Mathematical Practices.
Can you provide your own robotics-based example for any of these?
1)
2)
3)
4)
5)
6)
7)
8)
Make sense of problems and persevere in solving them
Reason abstractly and quantitatively
Construct viable arguments and critique the reasoning of others
Model with mathematics
Use appropriate tools strategically
Attend to precision
Look for and make use of structure
Look for and express regularity in repeated reasoning.
RoboRAVE International
Common Core State Standards for Math
CCSS Mathematical Practices
for every grade level
Make sense of problems
and persevere in solving
them
(Table of Contents)
How students might practice
• (Line Following) A student must
program a robot to navigate a “T”
intersection and then trouble
shoot the program until it works.
• (Jousting) A student determines
the range of angle positions for a
“lance” to knock a “knight” down
at different heights and speeds.
• Your ideas?
RoboRAVE International
Common Core State Standards for Math
CCSS Mathematical Practices
for every grade level
Reason abstractly and
quantitatively
(Table of Contents)
How students might practice
• (Robot programming) A third grader
uses icons to program instructions
(i.e., Graphic User Interface icons)
to determine a robot’s action.
• (Line Following) An eighth grade
team considers which gear ratio to
use to deliver their ping pong
payload to the tower.
• Your ideas?
RoboRAVE International
Common Core State Standards for Math
CCSS Mathematical Practices
for every grade level
Construct viable
arguments and critique
the reasoning of others
(Table of Contents)
How students might practice
• (Line Following) A team evaluates 3
different delivery systems and asks
“Which will deliver balls the fastest;
or the most; or the best?”
• (Line Following) A team discusses how
fast their robot can navigate a curve
without tipping over, given different
curve radii.
•Your ideas?
RoboRAVE International
Common Core State Standards for Math
CCSS Mathematical Practices
for every grade level
Model with
Mathematics
(Table of Contents)
How students might practice
• (Line Following) A teacher shows
how a volume formula for a
rectangular prism can help a team
predict how many ping pong balls
will fit into a box.
• (Jousting) A seventh grader uses a
formula of distance = rate * time
to program a robot to reach his
opponent’s knight first.
• Your ideas?
RoboRAVE International
Common Core State Standards for Math
CCSS Mathematical Practices
for every grade level
How students might practice
• (Any competition) A team uses a
calculator to figure out different
possible point tallies they could
achieve.
Use appropriate
tools strategically
(Table of Contents)
• (Line Following) A team collects
distance data from an ultrasonic
sensor.
• (Any competition) Use a computer to
run software for programming.
• Your ideas?
RoboRAVE International
Common Core State Standards for Math
CCSS Mathematical Practices
for every grade level
How students might practice
• (Any competition) A student figures
out how far an arm will be lowered
if it is moved ¼ of a rotation.
Attend to precision
(Table of Contents)
• (Line Following) A team determines
best percent of power for each
wheel to navigate a “T” efficiently.
•(Fire Fighting) Programming
the robot
to ‘not touch’ the candle when
extinguishing the flame.
• Your ideas?
RoboRAVE International
Common Core State Standards for Math
CCSS Mathematical Practices
for every grade level
Look for and make use
of structure
(Table of Contents)
How students might practice
• (Any competition) Students
understand the relationship of
larger gears on the motor to small
gears on the wheels provide more
speed
• (Any competition) A team and coach
discuss the inter-relationship of and
use of robot parts.
• Your ideas?
RoboRAVE International
Common Core State Standards for Math
CCSS Mathematical Practices
for every grade level
Look for and express
regularity in repeated
reasoning
(Table of Contents)
How students might practice
• (Any competition) Tabling data to look
for a relationship between the
number of wheel rotations to
distance traveled
• (Fire Fighting) Use of repeatable
programming steps to stop a robot,
turn on/off the extinguishing
system, and then proceed onward.
• Your ideas?
RoboRAVE International
Common Core State Standards for Math
Post-questions (Table of Contents)
Common Core State Standards Mathematical Practices.
Can you provide your own robotics-based example for any of these?
1)
2)
3)
4)
5)
6)
7)
8)
Make sense of problems and persevere in solving them
Reason abstractly and quantitatively
Construct viable arguments and critique the reasoning of others
Model with mathematics
Use appropriate tools strategically
Attend to precision
Look for and make use of structure
Look for and express regularity in repeated reasoning.
RoboRAVE International
Common Core State Standards for Math
Additional Resources & Contact Information (Table of Contents)
1) Davie County, North Carolina NXT Robots in the Classroom
2) Standards, STEM and Robotics
3) Can you contribute any excellent resources?
Contact information: CCSS@gotoif.org
Albuquerque Area: 505.867.2007
Outside Albuquerque Area: 888.527.2007
Fax: 888.701.3071
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