Numbers and Operations II

This is a tentative schedule that may be changed based on the needs of the students, the needs of the instructor, or any unforeseen events that may occur during the semester.

1:

### Tuesday

Before class:

- Watch [The Weird Number](https://www.youtube.com/watch?v=PZWvvtbA1ME) (1970) #### Class: What is Math 202? #. assign groups #. introductions and [syllabus scavenger hunt](handouts/syllabus-game.html) #. Q&A

After class

- (optional) Watch [A math teacher reacts to "The Weird Number"](https://www.youtube.com/watch?v=0_36k4REvvI)
### Thursday

Before class

- try first page of [visualizing percents](handouts/percents.html) #### Class: Percentages as a starting place #. [visualizing percents](handouts/percents.html) #. referent (what a fraction or percent "refers" to) #. fraction strips → number line #. introduce fraction tables

After class

- take notes on Chapter 2.5 - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153) - (optional) Read [Pipes, tubes and beakers: A new approach to rational-number learning](https://www.nap.edu/read/10126/chapter/8#322) (pg. 322-324)

2:

### Tuesday

Before class

- try #1 on [visualizing percents > computation](handouts/percents.html) #### Class: Equivalent fractions #. discuss [visualizing percents > computation](handouts/percents.html) #. [CA 2V.1-2](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (percent tables) #. "per cent" (?/100) and equivalent fractions #. [CA 2W.1-6](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (equivalent fractions) #. continue [visualizing percents](handouts/percents.html)

After class

- take notes on Chapter 2.3 - CA 2X (75; 250%; 168; only male bugs; ~44.4%) - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)
### Thursday

Before class

- take [formative quiz 01](2022f/formative_01.pdf) Discuss formative quiz #### Class: Decimals #. percent to decimals (review how bases work) #. [CA 5G, CA 5F.4, CA 5F.1 ](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (multiplying decimals) #. finish [visualizing percents](handouts/percents.html)

After class

- take notes on Chapter 5.2 - try CA 5H (4.14; same idea except squares represent 10 instead of 1, and so on) - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)

3:

### Tuesday

Before class

- print and cut out [fraction strips](https://duckduckgo.com/?q=fraction+strips&ia=web) (any version is fine as long as lengths are consistent) Discuss formative quiz #### Class: Comparing fractions #. summarize [visualizing percents](handouts/percents.html) #. fraction strips: same denominator, same numerator, distance below one

After class

- take notes on Chapter 2.2 - take notes on Chapter 2.4 "comparing fractions using common numerators" - try [Comparing and identifying fractions visually](http://www.sineofthetimes.org/comparing-and-identifying-fractions-visually/) (Sine of the Times) - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)
### Thursday

Before class

- prepare for quiz Summative quiz #### Class: Comparing fractions, continued #. comparing fractions: benchmarks, more of bigger #. [CA 2Q, 2R, 2S](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (comparing fractions)

After class

- take notes on Chapter 2.4 "using other reasoning to compare fractions" - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)

4:

### Tuesday

Before class

- take notes on Chapter 3.4 and practice exercises Discuss quiz #### Class: Adding and subtracting fractions #. equivalent fractions #. [CA 3O.1](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (adding/subtracting fractions)

After class

- try [Fraction Strips](https://toytheater.com/fraction-strips/) - try [Geogebra: Fraction addition](https://www.geogebra.org/m/z2CkQ4Ef) - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)
### Thursday

Before class

- start [CA 3P.1](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (mixed numbers) Discuss formative quiz #### Class: Adding and subtracting fractions, continued #. [CA 3P](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (mixed numbers)

After class

- [CA 3P.2](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (be able to solve multiple ways) - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)

5:

### Tuesday

Before class

- prepare for quiz - print and cut [Pattern blocks](http://raebear.net/goodies/patternblocks/shape-templates-multi-shape-thick.pdf) (4 hexagons, 8 trapezoids, 10 blue parallelograms, 12 triangles) Discuss formative quiz #### Class: Pattern blocks #. [addition and subtraction](handouts/pattern-blocks1.html)

After class

- [Understanding fraction multiplication](http://www.sineofthetimes.org/understanding-fraction-multiplication-2/) (Sine of the Times) - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)
### Thursday

Before class

- finish challenge on [addition/subtraction](handouts/pattern-blocks1.html) Summative quiz #### Class: Fraction multiplication #. [multiplication](handouts/pattern-blocks1.html)

After class

- [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)

6:

### Tuesday

Before class

- take notes on Chapter 5.1 Discuss quiz #### Class: Fraction multiplication, continued #. [CA 5B, CA 5A.2](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) #. critically review [CA 5C.2](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann)

After class

- take notes on Chapter 5.1 practice exercises - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)
### Thursday

Before class

- prepare for quiz Discuss formative quiz #### Class: Common denominators & more story problems #. review common denominators #. critically review [CA 3Q.1-3, CA 3R.1-3](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann)

After class

- take notes on Chapter 2.4 "comparing fractions by using common denominators" - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)

7:

### Tuesday

Before class

- prepare questions for review #### Class: Review #. clean out folders #. [review topics](handouts/review.html) #. [CA 7Q, CA 2L](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann)

After class

- extra practice on [Pattern Blocks](handouts/pattern-blocks1.html) - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)
### Thursday

Before class

- prepare note sheet #### Class: Midterm exam - allowed: one page notes (1-sided, handwritten) - allowed: fraction strips, pattern blocks - no calculators

Spring break:

8:

### Tuesday

Before class

- n/a Discuss exam, new groups #### Class: Part to whole #. [CA 2J](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (pattern blocks for improper fractions) #. [pattern blocks: part to whole](handouts/pattern-blocks2.html)

After class

- Chapter 2.2, practice exercises: 1, 2, 3, 4 - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)
### Thursday

Before class

- finish [pattern blocks: part to whole](handouts/pattern-blocks2.html) #### Class: Division with pattern blocks #. review [pattern blocks: part to whole](handouts/pattern-blocks2.html) in terms of division #. [pattern blocks: division](handouts/pattern-blocks2.html) #. introduce "quotative division"

After class

- [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)

9:

### Tuesday

Before class

- finish [pattern blocks: division](handouts/pattern-blocks2.html) Discuss formative quiz #### Class: Division with pattern blocks (continued) #. discuss [pattern blocks: division](handouts/pattern-blocks2.html)

After class

- [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)
### Thursday

Before class

- try D5 on [division w/o pattern blocks](handouts/pattern-blocks2.html) Discuss formative quiz #### Class: Division without pattern blocks #. continue [division w/o pattern blocks](handouts/pattern-blocks2.html)

After class

- Beckmann, Chapter 6.4 practice exercise #2 - Beckmann, Chapter 6.5 practice exercise #2 - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)

10:

### Tuesday

Before class

- prepare for quiz - take notes on Chapter 6.4 - take notes on Chapter 6.5 Summative quiz #### Class: Types of division #. revisit [division with visuals](handouts/pattern-blocks2.html) #. partitive division, see Chapter 6.5 "how many in one group?" #. quotative (aka. measurement) division, see Chapter 6.4 "how many groups?" #. [types of division](handouts/division-types.html)

After class

- read [What is the difference between "partitive" and measurement"?](https://medium.com/eureka-math/fractional-division-interpretation-what-is-the-difference-between-partitive-and-measurement-d253cd963bea) - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)
### Thursday

Before class

- finish [types of division](handouts/division-types.html) Discuss quiz #### Class: Types of division (continued) #. discuss [types of division](handouts/division-types.html) #. [CA 6P](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann)

After class

- [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)

11:

### Tuesday

Before class

- take notes on Chapter 6.3 Discuss formative quiz #### Class: Connections between fractions, division, and multiplication #. review x ÷ 2 = x * 1/2 #. partitive division → multiply by reciprocal #. fractions → decimals, recall a/b = a ÷ b #. [CA 8O.1-2](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (decimal representations of fractions) #. (if time) compare fractions that terminate and fractions that repeat

After class

- try [Scratch: Fraction → Decimal](https://scratch.mit.edu/projects/155117456) - watch [terminating vs. non-terminating repeating](https://www.youtube.com/watch?v=rVhU8Vyhz7c) - read [Nix the Tricks](http://www.nixthetricks.com/NixTheTricks21.pdf): Section 3.6 - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)
### Thursday

Before class

- take notes on Chapter 8.6 - [CA 8P.1](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) Discuss formative quiz #### Class: Repeating decimals → fractions #. [CA 8P.2-3](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) #. check with algebra

After class

- [CA 8Q.1-3](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (all answers result in 1=0.999...) - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)

12:

### Tuesday #### Class cancelled for Math Retreat
### Thursday

Before class

- try [CA 8P.4](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) - prepare for quiz Summative quiz #### Class: Repeating decimals → fractions (continued) #. [CA 8P.4](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) #. check with algebra #. [CA 8P.5a](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) Note: WebWork scores will be included in Canvas grading this weekend.

After class

- [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)

13:

### Tuesday

Before class

- take notes on Chapter 6.6 - [CA 8P.5a](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) Discuss quiz #### Class: Division with decimals #. connections between decimal division and fraction notation #. [CA 6R: 3, 1-4](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (decimal division)

After class

- [CA 6Q](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (answers: multiply by 2, multiply by 4, multiply by 3, answer is between 1 and 2 so must be 1.633) - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)
### Thursday

Before class

- take notes on Chapter 7.1 Student evals & Discuss formative quiz #### Class: Ratios and proportional relationships #. [CA 7D](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (ratios with strip diagrams) #. [CA 7G.1](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (ratio problem solving)

After class

- [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)

14:

### Tuesday

Before class

- take notes on Chapter 7.2 - prepare for quiz Summative quiz #### Class: Problem solving with ratios #. [CA 7G](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (ratio problem solving) #. [CA 7E.1-2](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (more ratio problem solving)

After class

- [extra practice problems](handouts/final-practice.html) - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)
### Thursday

Before class

- n/a Discuss quiz #### Class: Review #. clean out folders #. [review topics](handouts/review.html) #. [CA 7I](https://uweau.instructure.com/courses/470590/pages/class-activities-from-beckmann) (even more ratio problem solving)

After class

- [extra practice problems](handouts/final-practice.html) - [WeBWorK](https://uweau.instructure.com/courses/470590/assignments/4215153)
### Final exam - [review topics](handouts/review.html) - one page of notes (one-sided, handwritten) - allowed: fraction strips, pattern blocks - no calculator