number sense: how many?
DESCRIPTION
How do we quantify?, Place Values have Shape Values, and and a short introduction on linear Algebra as seen through a subQuan lense. Take this test and see if you don't understand numbers a bit better.TRANSCRIPT
Math Enrichment of Number Sense
Answering the ques8ons:
How many?
How much?
count
Q How many?
group
Q How many?
subi8ze
Q How many?
measure
Q How many?
subQuan
Q How many?
subQuan
Q How many?
Don’t forget what color means before entering!
Place shape & place value
Q What is the decimal place value for Cubes?
A. Tens B. Hundreds C. Thousands D. Ten-‐thousands E. Hundred-‐thousands F. Millions
Place shape & place value
Q ‘4’ has what decimal place value?
A. Tens B. Hundreds C. Thousands D. Ten-‐thousands E. Hundred-‐thousands F. Millions
Place shape & place value
Q ‘105’ has what decimal place value?
A. Tens B. Hundreds C. Thousands D. Ten-‐thousands E. Hundred-‐thousands F. Millions
Place shape & place value
Q What is the decimal place value for Segs?
A. Tens B. Hundreds C. Thousands D. Ten-‐thousands E. Hundred-‐thousands F. Millions
Place shape & place value
Q ‘6’ has what decimal place value?
A. Tens B. Hundreds C. Thousands D. Ten-‐thousands E. Hundred-‐thousands F. Millions
Place shape & place value
Q ‘103’ has what decimal place value?
A. Tens B. Hundreds C. Thousands D. Ten-‐thousands E. Hundred-‐thousands F. Millions
Place shape & place value
Q What is the shape of ten-‐thousands?
A. Squares B. Cubes C. Seg of Cubes D. Square of Cubes E. Cube of Cubes F. Seg of Cube of Cubes
Place shape & place value
Q ‘3’ has what shape?
A. Squares B. Cubes C. Seg of Cubes D. Square of Cubes E. Cube of Cubes F. Seg of Cube of Cubes
Place shape & place value
Q ‘104’ has what shape?
A. Squares B. Cubes C. Seg of Cubes D. Square of Cubes E. Cube of Cubes F. Seg of Cube of Cubes
Place shape & place value
Q What is the shape of hundreds?
A. Squares B. Cubes C. Seg of Cubes D. Square of Cubes E. Cube of Cubes F. Seg of Cube of Cubes
Place shape & place value
Q ‘4’ has what shape?
A. Squares B. Cubes C. Seg of Cubes D. Square of Cubes E. Cube of Cubes F. Seg of Cube of Cubes
Place shape & place value
Q ‘105’ has what shape?
A. Squares B. Cubes C. Seg of Cubes D. Square of Cubes E. Cube of Cubes F. Seg of Cube of Cubes
Number Forms
+4(1000) +5(10) +7
Q What form of the number is shown?
A. Standard B. Word C. Expanded D. Coefficient E. Shape F. Exponent
Number Forms
Two-‐thousand thirty-‐five
Q What form of the number is shown?
A. Standard B. Word C. Expanded D. Coefficient E. Shape F. Exponent
Number Forms
4 Cubes, 3 Squares, 7 Segs, 2 Ones
Q What form of the number is shown?
A. Standard B. Word C. Expanded D. Coefficient E. Shape F. Exponent
Number Forms
+7(83) +4(82) -‐2(81) +9(80)
Q What form of the number is shown?
A. Standard B. Word C. Expanded D. Coefficient E. Shape F. Exponent
Number Forms
-‐723,486,455
Q What form of the number is shown?
A. Standard B. Word C. Expanded D. Coefficient E. Shape F. Exponent
Number Forms
+8000 +300 +20 +8
Q What form of the number is shown?
A. Standard B. Word C. Expanded D. Coefficient E. Shape F. Exponent
microlesson: how to formally write subQuans with symbols
546 546 546 vinculum
microlesson: how to formally write subQuans as expressions
546 546 546 +5(6) +4 -‐5(6) +4 +5(6) -‐4
expressions
Q Which subQuans are wriben correctly?
446 346 526
A B C
Q Which expressions are wriben correctly?
+5(6) +4 -‐2(6) +2 -‐4(6) +3
A B C
microlesson: Wri8ng equa8ons
We create equations by using equality symbols between two expressions!
Some of the equality symbols:
= ≠ > < ≥ ≤
microlesson: Wri8ng equa8ons
Sample equa8ons: a) q = 45b d) 50 ≠ 5x b) x > y e) 3 < 7 c) 3x +2 ≥ 7y f) 2h ≤ 6.53πy
Q Which equa8on do you think is an example of a subQuan?
microlesson: wri8ng equa8ons
546 546 546 q = +5(6) +4 q = -‐5(6) +4 q = +5(6) -‐4
microlesson: solving equa8ons
q = +5(6) +4 q = +30 +4 q = +34
q = -‐5(6) +4 q = -‐30 +4 q = -‐26
q = +5(6) -‐4 q = +30 -‐4 q = +26
Q Which equa8on is correct for this subQuan?
A) q = -‐5(6) +4 B) q = -‐4(5) +5 C) q = -‐4(6) -‐5 D) q = +4(6) +5 E) q = +6(4) +5 F) None of the above