Here is the table of contents for the sixth grade text:
1. Ratios and Rates
2. Fractions, Decimals, and Percents
3. Compute with Multi-Digit Numbers
4. Multiply and Divide Fractions
5. Integers and the Coordinate Plane
8. Functions and Inequalities
10. Volume and Surface Area
11. Statistical Measures
12. Statistical Displays
The students appeared to be finishing the test for Chapter 2 that they started yesterday. We just ended the first quarter, so the class ought to be finishing the Chapter 3 Test today, not the Chapter 2 Test. I am currently scheduled to sub in another middle school math class on Monday and Tuesday.
Returning to the U of Chicago text, here's the Chapter 7 Test. As usual, I provide some rationale for the answers.
6. No, since there is no AAA Congruence Theorem.
7. Yes, by SAS.
8. Yes, by HL.
9. Yes, by ASA.
10. a. SAS
b. Angle G
b. A <-> A, B <-> D, C <-> C
12. a. SAS
b. N <-> O, O <-> Q, P <-> R
2. Vertical Angles Theorem
3. SAS Congruence Theorem (steps 1, 2, 1)
14. This one is tricky because it appears that nothing is given!
1. Circle O 1. Given
2. AO = CO, BO = DO 2. Definition of Circle
3. Angle AOB = COD 3. Vertical Angles Theorem
4. Triangle ABO = CDO 4. SAS Congruence Theorem (steps 2, 3, 2)
15, It's Halloween weekend, so of course there must be a pentagram!
1. Regular Pentagon ABCDE 1. Given
2. AB = BC = CD, 2. Definition of Regular Polygon
Angle ABC = BCD
3. Triangle ABC = BCD 3. SAS Congruence Theorem (steps 2, 2, 2)
16. Here's one of my favorites! We are given that the reflection of A is B, so by the definition of reflection, m is the perpendicular bisector of AB, so m is perpendicular to line AB. Similarly, the reflection of C is D, so by the definition of reflection, m is the perpendicular bisector of
Today is a test day, so there should be some discussion about traditionalists. Well, what can I say that hasn't already been posted all this week with the Common Core elementary math problems going viral this week.
A second problem has appeared this week. A student was asked whether 103 - 28 = 75 is reasonable, but the student lost a point for finding the exact answer rather than subtracting.
Recall that in both cases, I agree with the traditionalists. I understand why so many problems like this appear -- in order to help students who can't perform the standard algorithms. They are frustrating when student who can perform them are asked to answer the Common Core way.
Enjoy your Halloween weekend!