Math 117. Elementary Mathematics

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Math 117. Elementary Mathematics

Course Description: Analyses of the mathematical issues and methodology underlying elementary mathematics in grades 6-8. Topics include the Real number system and field axioms, sequences and series, functions and math modeling with technology, Euclidean and non-Euclidean geometry, probability and statistics. Priority registration will be given to students enrolled in teacher education programs leading to certification in elementary education. Prerequisite: MATH 012 or equivalent. Credit: 4 hours. This course satisfies the General Education Criteria for a Quant Reasoning I course.

Required Materials:

Mathematics for Elementary School Teachers, Billstein, et.al. 8th edition. 2004 (note: this text is required in both Math 103 and Math 117, and is packaged with Geometer’s Sketchpad software, required for Math 117)
Learning Mathematics in Elementary and Middle Schools, Cathcart, et.al, 4th edition. 2006
Calculator: TI-83 Plus or TI-84
3-ring binder: 2 or 3 inch, and dividers for binder; can use same binder in Math 103
metric/English Ruler
compass: Safe-T compass will be some available in lecture for you to purchase
graph Paper
scissors

UNIT 1

Lecture #1: Course Info, Problem Solving & Polya, Venn Diagrams
* Read course syllabus; check out course website
* Read sections 1-1, 1-2, 1-3 in the Billstein text
* Read pp 40-51 in the Cathcart text

Lab #1: Problem-Solving in groups

Lecture #2: Truth Tables, Logic, Sequences and Series
* Read sections 1-4, 2-1, 2-2 in the Billstein text

Lab #2: Attribute Blocks; homework check on homework set #1

Lecture #3: Axiomatic Systems, Pythagorean Theorem, Geometry in 3-dimensions
* Read sections 9-1, 9-2, 9-3, 9-4 in the Billstein text
* Read pp 290-302 in Cathcart text

Lab #3: Geoboards & dot paper

Lecture #4: Geometry Constructions, Congruence, Similarity, Proofs, GSP software
* Read sections 10-1, 10-2, 10-3, 10-4 in the Billstein text

Lab #4: constructions using protractor and straight-edge

Lecture #5: Area, Perimeter, Volumes, Surface Area
* Read sections 11-2, 11-3, 11-4, 11-5 in the Billstein text
* Read pp 330-340 in the Cathcart text

Lab #5: Volumes Lab

Lecture #6: Unit 1 EXAM

Lab #6: Taxicab Geometry Lab

UNIT 2

Lecture #7: Intro to the TI-83; Math Modeling with Linear Functions
* Read p 450-451 "scatterplots" in the Billstein text
* Read section 2-5 in the Billstein text

Lab #7: TI-83 worksheet; CBL "Pennies"

Lecture #8: Math Modeling with Quadratic Functions; Inverse Variation
* Read pp 407-413 in the Cathcart text
* Read sections 5-4 and 10-4 in the Billstein text

Lab #8: CBL "Function Walk"

Lecture #9: Exponential Function Models

Lab #9: CBL "Chill Out"

Lecture #10: Trig Models

Lab #10: CBL "TUNE"

Lecture #11: Unit 2 EXAM

Lab #11: Spherical Lab

UNIT 3

Lecture #12; Probability; Binomial Experiments
* Read chapter 7 in the Billstein text
* Read pp 369-275 in the Cathcart text

Lab #12: using the TI-83 to simulate probability distributions

Lecture #13: Algebraic Reform
* Read p 41-44 in the Billstein text
* Read chapter 17 in the Cathcart text

Lab #13: Algebra tiles

Lecture #14: Metrics, Exact vs. Approx., Precision; Bar Codes
* Read section 11-1 & 11-5 in the Billstein text

Lab #14: Metric Lab; Bar Codes handout

Lecture #15: Review for Final Exam

Department of Mathematics
University of Illinois at Urbana-Champaign
273 Altgeld Hall, MC-382
1409 W. Green Street, Urbana, IL 61801 USA
Telephone: (217) 333-3350 Fax (217) 333-9576
office@math.uiuc.edu

Last modified March 15, 2006