AIMS Investigations
A Pla&orm for Encouraging Best Prac5ces
Sheldon Erickson • serickson@aimsedu.org • AIMS Education Foundation
Common Core State Standards for Mathematics
Make sense of problems and persevere in solving them. (MP.1)
What do I understand about the problem and how should I approach it?
Reason abstractly and quan5ta5vely. (MP.2)
How can I use numbers and symbols to deal with the problem?
Construct viable arguments and cri5que the reasoning of others. (MP.3)
How do I explain and jus:fy my ideas to others?
Model with mathema5cs. (MP.4)
How can I represent my understanding to predict outcomes?
Use appropriate tools strategically. (MP.5)
What tools could I use to get a solu:on the easiest way?
Attend to precision. (MP.6)
How accurate or precise is my solution?
Look for and make use of structure. (MP.7)
What patterns are there that lead me to my solution or I use in the process?
Look for and express regularity in repeated reasoning. (MP.8)
How is what I have been doing related to other things I have done?
n
n+2
3(n + 2) = 3n + 6
3n + 6 + 8 = 3n + 14
3n + 14 + n = 4n + 14
(4n + 14) ÷ 2 = 2n + 7
2n + 7 - 4 = 2n
+3
AIMS Math Model
and
Math Practices
1 Make sense of problems and
persevere in solving them.
3 Construct viable arguments
and critique the reasoning
of others.
4 Model with mathematics.
5 Use appropriate tools
strategically.
6 Attend to precision.
7 Look for and make
use of structure.
2 Reason abstractly and
quantitavtively.
8 Look for and express regularity
Figure 1
Figure 2
Figure 3
Figure 4
Figure 1
Figure 2
Figure 3
Figure 4
2(legs) + diagonal
2(f+1) + f
2(legs) + diagonal
2(f) + (f + 2)
Figure 1
Figure 2
Figure 3
Figure 4
3(f) + 2
f(3) + 2
2(f+1) + f = 2(f) + (f + 2) = 3(f) + 2 = f(3) + 2
2f + 2 + f = 2f + f + 2 = 3f + 2 = 3f + 2
3f + 2
=
3f + 2
=
3f + 2
=
3f + 2
3n + 2
Figure 1
5
Figure 2
Figure 3
Figure 4
8
11
14
AIMS Math Model
and
Math Practices
1 Make sense of problems and
persevere in solving them.
3 Construct viable arguments
and critique the reasoning
of others.
4 Model with mathematics.
5 Use appropriate tools
strategically.
6 Attend to precision.
7 Look for and make
use of structure.
2 Reason abstractly and
quantitavtively.
8 Look for and express regularity