2004 MMSP Intensive Immersion Institutes

Transcription

1 EduTron-Fitchburg-Gardner-Leominster-MIT-QCC Pre-Course Knowledge Item Mastery Analysis () Percentage of Teachers Mastered this Item Knowledge Item Monitored (Black: Arithmetic Items, Blue: Algebraic Items) 94.4% 1.1 Compare rational numbers (signed decimals) 88.9% 1.2 Compare rational numbers (fractions) 90.7% 1.3 Compare rational numbers (decimals) 63.9% 1.4 Compare rational numbers (square root of decimal) 84.5% 1. Comparison of rational numbers (TOTAL) 88.9% 2A.1 Subtract three-digit whole numbers with regrouping 96.3% 2A.2 Subtract two-digit whole numbers 99.1% 2A.3 Multiply two-digit whole numbers 79.6% 2A.4 Order of operation (multiply before add) 96.9% 2A.5 Add three-digit whole numbers with regrouping 75.0% 2B.1 Evaluate fractions with decimal numerator and denominator 9.6/ % 2B.2 Subtract a decimal fraction from a mixed number 7 1/5-9.6/ % 2B.3 Divide decimals 2.4/ % 2. Operation of (a) whole numbers and (b) rational numbers (TOTAL) 40.7% 3A.1 Know that 1 is NOT a prime number 64.8% 3A.2 Know the concept of prime number 63.0% 3A.3 Identify all prime numbers from % 3B.1 Know what LCM means 75.0% 3B.2. Find LCM of 12 and 18 (36) 85.2% 3C.1 Know what GCF means 83.3% 3C.2. Find GCF of 12 and 18 (6) 69.4% 3. Prime number, LCM, and GCF (TOTAL)

2 7.4% 4.1 Know summation formula for arithmetic series 7.4% 4.2 Use summation formula to obtain sum of % 4.Z Use other correct method to obtain sum of % 4. Arithmetic Series (TOTAL) 87.0% 5.1 Know perimeter of a rectangle P = 2 (L + W) 83.3% 5.2 Set up expressions to model "Length is 10 cm longer than Width" such as W = x, L = x % 5.3 Solve simple 2-step equation (4x + 20 = 70) 83.3% 5.4 Understand area A = L x W 73.1% 5.5 Obtain area from L x W 48.1% 5.6 Answer in proper dimensions for lengths and areas. (cm and cm^2) 75.9% 5. Area and perimeter (TOTAL) 62.6% 6.1 Understand "saleable portion is (100% - 20%) of 20 lb" 55.6% 6.2 Understand "20% profit stands for 20% of original price" 57.4% 6.3 Obtain per pound price by dividing selling price ($12) by saleable pound (16 lb) 58.5% 6. Arithmetic word problem involving %. Selling un-rotten fruit. (TOTAL) 56.5% 7.1 Understand the total sample space is 6 x 6 for throwing 2 dice 52.4% 7.2 Understand there are 5 ways to make six (with two dice) 64.8% 7.3 Understand the probability is (# possible ways of success )/(total # ways) 57.9% 7. Probability: rolling two dice to get a sum of 6. (TOTAL) 81.5% 8A.1 Recognize pattern/rule in a geometric sequence. (divide by 3) 66.7% 8A.2 Obtain the next 3 terms in a sequence 10.7% 8B.1 Derive general expression for a geometric sequence. 53.0% 8. Geometric Sequence( TOTAL) 63.0% 9A Understand "power of power" rule: (B^3)^4 = B^(3*4) = B^ % 9B Understand "product of power" rule: the product's exponent is the sum of the factors' exponents. 13.9% 9C Understand negative exponent and fractional exponent 9^ (-3/2) = 1/ % 9. Exponents (TOTAL) 70.4% 10.1 Add/subtract same thing from both sides to solve the inequality 62.0% 10.2 Divide both sides by same thing to solve the inequality 20.4% 10.3 Handle the relative sign and the relation symbol properly when solving an inequality 50.9% 10. Solving simple inequality (TOTAL)

3 12.0% 11.1 Set up expression to model word problems involving ratio (3x:4x or 3x = 4y) 12.0% 11.2 Set up expression to modify existing model expression (3x-104)/(4x-104) or 3x-104: 4y % 11.3 Incorporate additional information (2:7) into existing model expressions 8.5% 11.4 Solve rational expression (or system of linear equations) 7.4% 11.5 Use solution of equations to construct required answers in word problems 10.2% 11. Word problem on Ratio. Ratio of money changed after each spent certain amount. (TOTAL) 25.0% 12.1 Set up model equation for "division with remainder" word problem scenario: 33 B + 27 = P 13.9% 12.2 Set up model equation for "division with remainder" word problem scenario: 36 (B-1) = P 18.5% 12.3 Identify the connection between (model equation) scenarios: 33B + 27 = 36 (B-1) 16.7% 12.4 Solve multi-step equation (or system of linear equations) (B=21) 13.0% 12.5 Use preliminary solution of model equation(s) to construct answers to word problem (360) 0.7% 12.Z Solution obtained using other correct method 18.1% 12. Word problem on "Division with remainder". Principal charter buses. (TOTAL) 13.0% 13.1 Set up model equation for word problem scenario: B + G = % 13.2 Set up model equation for "Average-related" word problem scenario: 87 x 25 = 83 B + 88 G 11.1% 13.3 Solve system of linear equations(5 and 20) 3.7% 13.Z Obtain solution using other correct method 15.9% 13. Word problem on "Averages" - class, boys', girls'. (TOTAL) 82.4% 14A.1 Draw coordinate grid 81.5% 14A.2 Identify two ordered pairs on a coordinate plane 17.0% 14B Calculate slope from 2 ordered pairs 14.8% 14C. Derive equation of a line from 2 ordered pairs 9.3% 14D. Calculate distance between 2 ordered pairs 41.0% 14. Ordered Pair, Slope, Equation, and Distance (TOTAL)

4 Distribution of Pre-Course Knowledge Item Mastery (Raw) # of Teachers Percentage of Knowledge Items Mastered (Raw %)

5 14 12 Distribution of Pre-Course Knowledge Item Mastery Arithmetic & Algebraic Arithmetic Algebraic Number of Teachers Percentage of Knowledge Items Mastered

6 100% Pre-Course Knowledge Item Mastery Scattergram Arithmetic vs. Algebraic Algebraic Knowledge Items Mastered 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

7 Pre-Course Knowledge Item Mastery Arithmetic and Algebraic 100% 90% Knowledge Item Master (%) 80% 70% 60% 50% 40% 30% 20% 10% 0% Teacher ID Arithmetic Algebraic