Math 100. Exploring Mathematics. Spring 2008.
Tentative class schedule with homework assignments
This schedule is subject to change.
| Jan 29: | Last day to ADD classes without special permission, DROP classes without a serious and compelling reason | ||||
| Apr 15: | Last day to WITHDRAW from a course for a serious and compelling reason | ||||
| Week/Date | Topic & Activities | Reading assignment | Homework due | ||
| Jan 15 | Introduction, Syllabus & Schedule Polya's 4 steps of problem solving Cookie jar problem |
- | - | ||
| Jan 17 | Problem solving strategies Presentations: Cookie jar problem & Tile problem More problems |
Billstein et al (10A/10B textbook), Mathematics and problem solving (section 1.1 in 9th ed) | Homework 1: Problems |
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| Jan 22 | Presentations: homework problems Area calculations Area problems with manipulatives |
Billstein et al, Areas of Polygons and Circles (section 11.2 in 9th ed) | Homework 2: Problems |
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| Jan 24 | Area calculations continued Other activities with tiles Geoboard |
Using manipulatives (Linda Huetinck & Sara N. Munshin, Teaching Mathematics in the 21st Century: Methods and Activities for Grades 6-12) |
Homework 3: Problems 1 and 2 |
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| Jan 29 | Class discussion: Using manipulatives Investigations and descriptions of patterns |
Using manipulatives Billstein et al, Explorations with Patterns (section 1.2 in 9th ed) |
Homework 4: Problems 3 and 4 |
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| Jan 31 | Investigations and descriptions of patterns continued
Presentations: sequences of figures New problems |
- | Homework 5: Problems |
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| Feb 5 | Presentations and class discussion: Patterns
Fractions and operations with them |
Billstein et al, Rational Numbers (sections 5.1-5.3 in 9th ed) | Homework 6: Problems 2 and 3 |
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| Feb 7 | Fractions continued: problems involving fractions Solving each other's problems |
The meaning of division by fractions (Liping Ma) | Homework 7 | ||
| Feb 12 | Problem solving and mathematical reasoning in K-7 Problems from competitions for 6-graders |
Mathematical Reasoning Standards in grades K-7 | Homework 8 | ||
| Feb 14 | Review Practice problems, Solutions Presentations: homework and practice problems |
- | Homework 9: any 2 problems |
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| Feb 19 | Test 1: blue, purple, pink,
orange
Solutions: blue, purple, pink, orange Test Statistics |
- | - | ||
| Feb 21 | Statistical data analysis: interpreting test results | - | - | ||
| Feb 26 | Natural numbers, Integer numbers, and operations with them Base 10 tiles Problems |
- | Homework 10 Project 1, part 1 due |
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| Feb 28 | Understanding subtraction Presentations: problems started last class and homework problems |
Understanding Subtraction (T. Bassarear, Mathematics for Elementary School Teachers, part of section 3.1) | Homework 11 | ||
| Mar 4 | Divisibility. Divisibility tests Presentations: project and homework problems |
Divisibility Tests (T. Parker and S. Baldridge, Elementary Mathematics for Teachers, section 5.2) | Homework 12 Project 1, part 2 due |
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| Mar 6 | Prime and composite numbers. Prime factorization. Greatest common factor and least common multiple Problems |
- | Homework 13 try, be prepared to discuss in class |
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| Mar 11 | Real numbers | - | Homework 13 written solutions due |
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| Mar 13 | Representation of real numbers | Decimals, rational and real numbers (T. Parker and S. Baldridge, Elementary Mathematics for Teachers, section 9.1) | Homework 14 | ||
| Mar 18 | Spring break | ||||
| Mar 20 | |||||
| Mar 25 | Equations Problems using equations |
- (start reading the assignment for Mar 27: it is a long one!) | Homework 15 | ||
| Mar 27 | Number sense and algebra standards in K-7 Equations continued |
Number sense and algebra standards in K-7 | Homework 16 | ||
| Apr 1 | Project 2 presentations | - | Project 2 due | ||
| Apr 3 | Review Practice problems, Solutions Presentations: practice problems |
- | work on practice problems for test 2, be prepared to discuss in class, no written assignment |
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| Apr 8 | Test 2: yellow, green, blue,
salmon
Solutions: yellow, green, blue, salmon |
- | - | ||
| Apr 10 | Equations continued | - | - | ||
| Apr 15 | Pythagorean Theorem | - | Homework 17 | ||
| Apr 17 | Volume of solids | Billstein et al, Volume, Mass, and Temperature (pages 798-812, section 11.5 in 9th ed) | Homework 18 | ||
| Apr 19 | Math Field Day: VOLUNTEERS NEEDED! Please ask Maria Nogin
for details. In addition to the benefits listed in the flyer (see the above link), you will get 5 extra points for your participation. |
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| Apr 22 | Surface area | Billstein et al, Surface Areas (section 11.4 in 9th ed) | Homework 19 | ||
| Apr 24 | Similarity | - | Homework 20 | ||
| Apr 29 | Ratios and proportional reasoning Poster problem |
Developing Concepts of Ratio and Proportion (John Van De Walle, Elementary and Middle School Mathematics, Teaching Developmentally, 5th ed, Chapter 18) | Homework 21 | ||
| May 1 | Measurement and geometry standards in K-7 Development of proportional reasoning in K-7 |
Measurement and geometry standards in K-7 | Project 3 due Homework 22 |
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| May 6 | Review Practice problems, Solutions Presentations: practice problems |
- | work on practice problems, be prepared to discuss in class, no written assignment |
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| May 8 | Consultation hours: 10-12 in PB 340, 12:30-1:45 in Science II 207 | - | For extra credit: turn in your solutions to practice problems by 1:45 pm (each problem is worth 1/4 of a point). Here are solutions. | ||
| May 9 | Consultation hours: 12:30-2:30 in PB 340 | - | - | ||
| May 13 | 1:15 - 3:15 PM: Final Exam (cumilative) | - | - | ||