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Material Type: Assignment; Professor: Hunt; Class: Number Concepts & Relationship; Subject: Mathematics; University: Clayton State University; Term: Fall 2008;
Typology: Assignments
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Aug. 19 Read through the 4-8 GPS (http://www.georgiastandards.org/math.aspx); Check out the GCTM website for membership and GMC (www.gctm.org); Read pp. 78-86 in textbook (Intro to Sets) Aug. 21 Read pp. 358-359 (Properties of Real Numbers) in textbook; pp. 360-362: JFF, 1 – 5, 11, 14, 41, 45, 47. Bring Pattern Blocks and Fraction Circles to class on Tuesday. Aug. 26 Read pp. 255 – 264; pp. 265 – 268: JFF, 1, 2, 9, 10a, 12, 13, 21, 33, 34, 35. Aug. 28 Investigate virtual manipulatives at http://nvlm.usu.edu related to comparing fractions. Fill out the survey at http://cims.clayton.edu/ahunt/M MANIPULATIVES SURVEY-- Equiv Fractions F'08.doc to compare virtual manipulatives to hands-on manipulatives. Sept. 4 Use pattern blocks to do exercise 36 a, c, e, g, & i on p. 281. Investigate virtual manipulatives at http://nvlm.usu.edu to add and subtract fractions. Fill out the survey at http://cims.clayton.edu/ahunt/MANIPULATIVES SURVEY-- Adding & Subtracting Fractions F'08.doc to compare virtual manipulatives to hands-on manipulatives for addition and subtraction of fractions. Use p. 78 of handouts as examples of fraction addition and subtraction. Sept. 9 Read section 6.2 of your textbook and do the following problems on pp. 279- 280: 1(b, c, d only), 6, 8, 10, 16, & 28, using fraction circles whenever possible. Create 5 fraction multiplication problems that can be done using fraction circles; bring them to class to exchange with classmates on Thursday. Sept. 11 Redo worksheet p. 78 to divide fractions using manipulatives. Investigate virtual manipulatives at http://nvlm.usu.edu to multiply and divide fractions. Fill out the survey at http://cims.clayton.edu/ahunt/MANIPULATIVES SURVEY-- Multiplying & Dividing Fractions. Sept. 16 Prepare for Performance Test 1 (PT 1 Objectives). Sept. 18 Add examples (with numbers) to the Notes on Rational Numbers handout and be prepared to discuss it in class on Tuesday. Also, read Section 6.3 of your textbook and on pp. 289-292, work: JFF; 3e, g, I, j; 6a, d, f, g; 8; 12; 13a, b, c; 45a, b, d, f. Sept. 23 Review for Test 1 Sept. 25 Read section 5. Sept. 30 Use two-color counters to do pages 1 & 2 of the Cube Cruncher handout problems.
Oct. 2 Use virtual manipulatives to add and subtract integers. Complete the Cube Cruncher handout problems. Read section 5.1 and on pp. 208-209 work: 7, 16, 21, 23, & 31. Oct. 7 Use virtual manipulatives to multiply integers. Fill out the comparison survey (http://cims.clayton.edu/ahunt/M3010 MANIPULATIVES SURVEY--Multiply Integers F'08.doc). Oct. 9 Read section 5.2 and on pp. 215-216 work: JFF, 5, 9, 19, 22, & 24. Oct. 14 Use the Fraction Models I, II, & III at http://illuminations.nctm.org/ActivityDetail.aspx?ID=11 to explore the relationships among fractions, decimals, and percents. Do the same with the NLVM manipulatives at
Oct. 16 Work on Rock Eagle assignment. Oct. 21 Read and be prepared to discuss Notes on Primes handout. Also read Section 5.3. Oct. 23 Go to the NLVM grades 6-8 Number Concepts manipulatives and play with the Sieve of Eratosthenes. Note that you can change the number of rows in the “sieve.” Begin with 20 rows and note at what point the sieve stops removing multiples. Do the same for 50 and 100 rows. Do you see a correlation between the last number for which multiples are removed and the total number is integers in the set? Fill out the survey comparing the paper and the virtual sieve (http://cims.clayton.edu/ahunt/M MANIPULATIVES SURVEY--Sieve of Eratosthenes F'08.doc). At the end of Section 5.3 (pp. 228-230) work: JFF, 2, 22, 24, 25, 28 a b d, 37, 41, 42a Oct. 28 Complete the Primes in E worksheet, as well as any unfinished problems assigned from Section 5.3. Oct. 30 Read Section 4.4. Practice adding and subtracting in bases 5 and 2 using your chip abacus and any of your manipulatives that would work. Nov. 4 Go to http://nlvm.usu.edu/en/nav/category_g_3_t_1.html and experiment with applets for non-decimal base arithmetic: Base Blocks, Base Blocks Addition, Base Blocks Subtraction, and Chip Abacus. You can change the base. Please fill out the survey MANIPULATIVE SURVEY--Non-decimal Base Addition & Subtraction. In your book on pp. 166-167, do exercises 6, 7, 8, 9, 10, 13 and 20 a & b. (If you have not already done so, experiment with the applets for adding and subtracting positive and negative integers at that same website: Color Chips Subtraction, Circle 0, Circle 21, and Circle 99, and fill out the survey that I sent earlier.)