Download 2004 MMSP Intensive Immersion Institutes

2004 MMSP Intensive Immersion Institutes
EduTron-Fitchburg-Gardner-Leominster-MIT-QCC
Pre-Course Knowledge Item Mastery Analysis
Percentage of
Teachers
Mastered this
Item
94.4%
88.9%
90.7%
63.9%
84.5%
88.9%
96.3%
99.1%
79.6%
96.9%
75.0%
75.9%
73.1%
85.6%
40.7%
64.8%
63.0%
74.1%
75.0%
85.2%
83.3%
69.4%
(March 12, 2004)
Knowledge Item Monitored
(Black: Arithmetic Items, Blue: Algebraic Items)
1.1 Compare rational numbers (signed decimals)
1.2 Compare rational numbers (fractions)
1.3 Compare rational numbers (decimals)
1.4 Compare rational numbers (square root of decimal)
1. Comparison of rational numbers (TOTAL)
2A.1 Subtract three-digit whole numbers with regrouping
2A.2 Subtract two-digit whole numbers
2A.3 Multiply two-digit whole numbers
2A.4 Order of operation (multiply before add)
2A.5 Add three-digit whole numbers with regrouping
2B.1 Evaluate fractions with decimal numerator and denominator 9.6/1.5
2B.2 Subtract a decimal fraction from a mixed number 7 1/5 - 9.6/1.5
2B.3 Divide decimals 2.4/0.8
2. Operation of (a) whole numbers and (b) rational numbers (TOTAL)
3A.1 Know that 1 is NOT a prime number
3A.2 Know the concept of prime number
3A.3 Identify all prime numbers from 1-10
3B.1 Know what LCM means
3B.2. Find LCM of 12 and 18 (36)
3C.1 Know what GCF means
3C.2. Find GCF of 12 and 18 (6)
3. Prime number, LCM, and GCF (TOTAL)
7.4%
7.4%
71.9%
79.3%
87.0%
83.3%
80.6%
83.3%
73.1%
48.1%
75.9%
62.6%
55.6%
57.4%
58.5%
56.5%
52.4%
64.8%
57.9%
81.5%
66.7%
10.7%
53.0%
63.0%
33.3%
13.9%
36.7%
70.4%
62.0%
20.4%
50.9%
4.1 Know summation formula for arithmetic series
4.2 Use summation formula to obtain sum of 1 + 2 + 3 + … + 12
4.Z Use other correct method to obtain sum of 1 + 2 + 3 + … + 12
4. Arithmetic Series (TOTAL)
5.1 Know perimeter of a rectangle P = 2 (L + W)
5.2 Set up expressions to model "Length is 10 cm longer than Width" such as W = x, L = x + 10
5.3 Solve simple 2-step equation (4x + 20 = 70)
5.4 Understand area A = L x W
5.5 Obtain area from L x W
5.6 Answer in proper dimensions for lengths and areas. (cm and cm^2)
5. Area and perimeter (TOTAL)
6.1 Understand "saleable portion is (100% - 20%) of 20 lb"
6.2 Understand "20% profit stands for 20% of original price"
6.3 Obtain per pound price by dividing selling price ($12) by saleable pound (16 lb)
6. Arithmetic word problem involving %. Selling un-rotten fruit. (TOTAL)
7.1 Understand the total sample space is 6 x 6 for throwing 2 dice
7.2 Understand there are 5 ways to make six (with two dice)
7.3 Understand the probability is (# possible ways of success )/(total # ways)
7. Probability: rolling two dice to get a sum of 6. (TOTAL)
8A.1 Recognize pattern/rule in a geometric sequence. (divide by 3)
8A.2 Obtain the next 3 terms in a sequence
8B.1 Derive general expression for a geometric sequence.
8. Geometric Sequence( TOTAL)
9A Understand "power of power" rule: (B^3)^4 = B^(3*4) = B^12
9B Understand "product of power" rule: the product's exponent is the sum of the factors' exponents.
9C Understand negative exponent and fractional exponent 9^ (-3/2) = 1/27
9. Exponents (TOTAL)
10.1 Add/subtract same thing from both sides to solve the inequality
10.2 Divide both sides by same thing to solve the inequality
10.3 Handle the relative sign and the relation symbol properly when solving an inequality
10. Solving simple inequality (TOTAL)
12.0%
12.0%
11.1%
8.5%
7.4%
10.2%
25.0%
13.9%
18.5%
16.7%
13.0%
0.7%
18.1%
13.0%
12.6%
11.1%
3.7%
15.9%
82.4%
81.5%
17.0%
14.8%
9.3%
41.0%
11.1 Set up expression to model word problems involving ratio (3x:4x or 3x = 4y)
11.2 Set up expression to modify existing model expression (3x-104)/(4x-104) or 3x-104: 4y-104
11.3 Incorporate additional information (2:7) into existing model expressions
11.4 Solve rational expression (or system of linear equations)
11.5 Use solution of equations to construct required answers in word problems
11. Word problem on Ratio. Ratio of money changed after each spent certain amount. (TOTAL)
12.1 Set up model equation for "division with remainder" word problem scenario: 33 B + 27 = P
12.2 Set up model equation for "division with remainder" word problem scenario: 36 (B-1) = P
12.3 Identify the connection between (model equation) scenarios: 33B + 27 = 36 (B-1)
12.4 Solve multi-step equation (or system of linear equations) (B=21)
12.5 Use preliminary solution of model equation(s) to construct answers to word problem (360)
12.Z Solution obtained using other correct method
12. Word problem on "Division with remainder". Principal charter buses. (TOTAL)
13.1 Set up model equation for word problem scenario: B + G = 25
13.2 Set up model equation for "Average-related" word problem scenario: 87 x 25 = 83 B + 88 G
13.3 Solve system of linear equations(5 and 20)
13.Z Obtain solution using other correct method
13. Word problem on "Averages" - class, boys', girls'. (TOTAL)
14A.1 Draw coordinate grid
14A.2 Identify two ordered pairs on a coordinate plane
14B Calculate slope from 2 ordered pairs
14C. Derive equation of a line from 2 ordered pairs
14D. Calculate distance between 2 ordered pairs
14. Ordered Pair, Slope, Equation, and Distance (TOTAL)
Distribution of Pre-Course Knowledge Item Mastery (Raw)
March 12, 2004
10
9
8
# of Teachers
7
6
5
4
3
2
1
0
95.1-100
90.1-95
85.1-90
80.1-85
75.1-80
70.1-75
65.1-70
60.1-65
55.1-60
50.1-55
45.1-50
40.1-45
35.1-40
30.1-35
25.1-30
20.1-25
15.1-20
10.1-15
5.1-10
0-5
Percentage of Knowledge Items Mastered (Raw %)
2004 MMSP Intensive Immersion Institutes
Distribution of Pre-Course Knowledge Item Mastery
Arithmetic & Algebraic
March 12, 2004
14
Arithmetic
Algebraic
Number of Teachers
12
10
8
6
4
2
0
95.1-100
90.1-95
85.1-90
80.1-85
75.1-80
70.1-75
65.1-70
60.1-65
55.1-60
50.1-55
45.1-50
40.1-45
35.1-40
30.1-35
25.1-30
20.1-25
15.1-20
10.1-15
5.1-10
0-5
Percentage of Knowledge Items Mastered
2004 MMSP Intensive Immersion Institutes
Pre-Course Knowledge Item Mastery Scattergram
Arithmetic vs. Algebraic
March 12, 2004
Algebraic Knowledge Items Mastered
100%
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
Arithmetic Knowledge Items Mastered
2004 MMSP Intensive Immersion Institutes
Pre-Course Knowledge Item Mastery
Arithmetic and Algebraic
March 12, 2004
100%
80%
70%
60%
50%
40%
30%
20%
10%
53
51
49
47
45
43
41
39
37
35
33
31
29
27
25
23
21
19
17
15
13
11
9
7
5
3
0%
1
Knowledge Item Master (%)
90%
Teacher ID
Arithmetic
Algebraic
2004 MMSP Intensive Immersion Institutes