# 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:

- For fun, 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 "beakers" on [visualizing percents](handouts/percents.html) Class: Percentages as a starting place #. "sidewalks" on [visualizing percents](handouts/percents.html) #. referent (what a fraction or percent "refers" to) #. percent strips → fraction strips → number line #. percent strips to solve "computations" on [visualizing percents](handouts/percents.html) #. discuss percents → decimals → fractions After class - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044) - (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 - take notes on Percent (Chapter 2.5) Class: Percent tables #. use percent tables to solve [computations](handouts/percents.html) #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 2U.1-6 (percent tables) #. challenge: [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 2V.1-2 After class - Class Activity 2X (75; 250%; 168; only male bugs; ~44.4%) - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Thursday Before class - take notes on Multiplying Decimals (Chapter 5.2) - take formative quiz Class: Discuss quiz Class: Decimals #. review how bases work #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 5G, 5F (multiplying decimals) After class - try Class Activity 5H (4.14; same idea except squares represent 10 instead of 1, and so on) - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)

### 3:

### Tuesday Before class - take notes on Equivalent Fractions (Chapter 2.3) - print and cut out [fraction strips](https://duckduckgo.com/?q=fraction+strips&ia=web) (any version is fine as long as lengths are consistent) - take formative quiz Class: Discuss quiz Class: Decimals (continued) #. convert percentages to decimals #. continue [computations](handouts/percents.html) Class: Equivalent fractions #. "per cent" (?/100) and equivalent fractions #. equivalent fractions to solve [computations](handouts/percents.html) After class - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Thursday Before class - finish [computations](handouts/percents.html) - take formative quiz Class: Discuss quiz Class: Equivalent fractions, continued #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 2W (equivalent fractions; #7 is challenge) #. summarize [computations](handouts/percents.html) #. comparison using fraction strips: same denominator, same numerator, distance below one After class - try [Comparing and identifying fractions visually](http://www.sineofthetimes.org/comparing-and-identifying-fractions-visually/) (Sine of the Times) - take notes on "comparing fractions using common numerators" (Chapter 2.4) - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)

### 4:

### Tuesday Before class - take notes on "using other reasoning to compare fractions" (Chapter 2.4) - prepare for summative quiz Class: Summative quiz 1 Class: Comparing fractions #. comparing fractions: benchmarks, more of bigger #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 2Q, 2R, 2S After class - try [Fraction Strips](https://toytheater.com/fraction-strips/) - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Thursday Before class - take notes on Adding and Subtracting Fractions (Chapter 3.4) - finish [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 2Q, 2R, 2S Class: Discuss quiz Class: Adding and subtracting fractions #. review equivalent fractions #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 3O.1 #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 3P After class - try [Geogebra: Fraction addition](https://www.geogebra.org/m/z2CkQ4Ef) - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)

### 5:

### Tuesday Before class - finish [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 3P - take formative quiz Class: Discuss quiz Class: Story problems with addition and subtraction #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 3Q, 3R After class - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Thursday Before class - print and cut [Pattern blocks](https://www.raebear.net/goodies/patternblocks/printableblocks/) (4 hexagons, 8 trapezoids, 10 blue parallelograms, 12 triangles) - take formative quiz Class: Discuss quiz Class: Pattern blocks #. [addition and subtraction](handouts/pattern-blocks1.html) #. [multiplication](handouts/pattern-blocks1.html) After class - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)

### 6:

### Tuesday Before class - take notes on Multiplying Fractions (Chapter 5.1) - take formative quiz Class: Discuss quiz Class: Fraction multiplication, continued #. [multiplication](handouts/pattern-blocks1.html) #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 5B After class - Sine of the Times: [Understanding fraction multiplication](http://www.sineofthetimes.org/understanding-fraction-multiplication-2/) - [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 5A.2 (1/4 of 1/3; 3/5 of 1/4; 1/4 of 2/3; 3/4 of 3/5) - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Thursday Before class - prepare for summative quiz Class: Summative quiz 2 Class: More story problems #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 5C (challenge: 2d & 2e) After class - take notes on "comparing fractions by using common denominators" (Chapter 2.4) - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)

### 7:

### Tuesday Before class - prepare questions for review - prepare note sheet (1-sided, handwritten) Class: Discuss quiz, clean out folders Class: Review #. review common denominators #. [review topics](handouts/review.html) #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 7Q #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 2L After class - extra practice on [Pattern Blocks](handouts/pattern-blocks1.html) - Beckmann, 3.4, practice #7-8 - Beckmann, 5.1, practice #4 - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044): Midterm review (0 pts)
### Thursday Before class - prepare note sheet (1-sided, handwritten) Class: Midterm exam - allowed: one page notes (1-sided, handwritten) - allowed: fraction strips, pattern blocks - no calculators

### 8:

### Tuesday Before class - n/a Class: Discuss exam, new groups Class: Partitive division #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 2J (pattern blocks for improper fractions) #. introduce partitive division (how many in one group?) #. bins? After class - takes notes on Chapter 6.5 "how many in one group?" (aka. partitive division) - Chapter 2.2, practice exercises: 1, 2, 3, 4 - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Thursday Before class - n/a Class: Partitive division (continued) #. [partitive division](handouts/pattern-blocks2.html) #. multiply by the reciprocal After class - read [Nix the Tricks](http://www.nixthetricks.com/NixTheTricks21.pdf): Section 3.6 - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)

### 9:

### Tuesday Before class - finish [partitive division](handouts/pattern-blocks2.html) Class: Measurement division #. introduce "measurement division" (aka. quotative) #. [pattern block division](handouts/pattern-blocks2.html) #. [visual division](handouts/pattern-blocks2.html) After class - take notes on measurement division (Chapter 6.4 "how many groups?") - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Thursday Before class - finish D4 on [division w/o pattern blocks](handouts/pattern-blocks2.html) - take formative quiz Class: Discuss quiz Class: Division (continued) #. [division extra practice](handouts/pattern-blocks2.html) After class - take notes on [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/496066/assignments/4792044)

### 10:

### Tuesday Before class - take formative quiz Class: Discuss quiz Class: Division story problems #. review [division extra practice](handouts/pattern-blocks2.html) #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 6P (answers for 1-4, create "look fors", finish 5-7) #. create partitive division problem involving fractions #. create measurement division problem involving fractions After class - Beckmann, Chapter 6.4 practice exercise #2 - Beckmann, Chapter 6.5 practice exercise #2 - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Thursday Before class - take formative quiz Class: Discuss quiz Class: Division of fractions (continued) #. Computation: divide across #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 6N After class - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)

### 11:

### Tuesday Before class - take notes on Why Division Algorithms Work (Chapter 6.3) - take formative quiz Class: Discuss quiz Class: Converting fractions to decimals #. recall a/b = a ÷ b #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 8O.1-2 #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 8P.1-2 After class - try [Scratch: Fraction → Decimal](https://scratch.mit.edu/projects/155117456) - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Thursday Before class - take notes on Rational and Irrational Numbers (Chapter 8.6) - prepare for summative quiz Class: Summative quiz 3 Class: Repeating decimals #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 8P.3 #. check with algebra After class - [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 8Q.1-3 (all answers result in 1=0.999...) - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)

### 12:

### Tuesday Before class - n/a Class: Discuss quiz Class: Repeating decimals (continued) #. finish [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 8P #. (if time) fractions that terminate and fractions that repeat Note: WeBWorK scores will be turned on in Canvas soon After class - watch [terminating vs. non-terminating repeating](https://www.youtube.com/watch?v=rVhU8Vyhz7c) - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Thursday #### No class for Thanksgiving break

### 13:

### Tuesday Before class - take notes on Dividing Decimals (Chapter 6.6) Class: Reminder about webwork scores Class: Division with decimals #. connections between decimal division and fraction notation #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 6R: 1-3 (decimal division) #. if time, [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 6Q (mental decimal division) After class - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Thursday Before class - take notes on Motivating and Defining Ratio and Proportional Relationships (Chapter 7.1) - take formative quiz Class: Discuss quiz Class: Ratios and proportional relationships #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 7D (ratios with strip diagrams) #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) 7G.1 (ratio problem solving) After class - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)

### 14:

### Tuesday Before class - take notes on Solving Proportion Problems (Chapter 7.2) - take formative quiz (posted soon) Class: Discuss quiz Class: Problem solving with ratios #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) (ratio problem solving) 7G #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) (more ratio problem solving) 7E.1-2 After class - [extra practice problems](handouts/final-practice.html) - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Thursday Before class - prepare for summative quiz Summative quiz 4 Class: Ratio problem solving #. [Class Activity](https://uweau.instructure.com/courses/496066/pages/class-activities-from-beckmann) (even more ratio problem solving) 7I After class - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)

### 15:

### Tuesday Before class - n/a Class: Discuss quiz Class: Ratio problem solving (continued) #. After class - [extra practice problems](handouts/final-practice.html) - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Thursday Before class - n/a Class: Review #. clean out folders #. [review topics](handouts/review.html) #. [more division practice](handouts/division-types.html) After class - [WeBWorK](https://uweau.instructure.com/courses/496066/assignments/4792044)
### Final exam - [review topics](handouts/review.html) - one page of notes (one-sided, handwritten) - allowed: fraction strips, pattern blocks - no calculator