# Mathematics for Elementary Teachers III

## Calendar

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

### 1:

Monday Labor Day
Wednesday

#### Introduction

Friday

(bonus) Arithmagons

Big ideas in algebra (p. 8-9, in Canvas > Content)

Daily quiz (self)

• vocabulary

### 2:

Monday

Q&A assignment for Equality

Review Q&A

• example of Japanese textbooks

#### Algebra rules

• brainstorm rules
• chapter 3.2, 4.3, 4.4
• operations on sets (Canvas > Content)
Wednesday

Practice exercises Chapters 3.2 (not collected)

Daily quiz (group)

• arithmagons

#### Algebra rules for numbers

Friday

finish operations on numbers

Daily quiz (peer)

• arithmagons

### 3:

Monday

Sowder Ch. 12.1 (Canvas > Content; not collected)

Daily quiz (group)

• operations on sets

#### Patterns

• finish operations on numbers (identify properties and mental math)
• CA-205, 206
• introduce finite differences for linear equations

*** Last day to drop classes ***

Wednesday

Using properties for mental arithmatic: CA-52, CA-57, CA-79, CA-82 (not collected)

Daily quiz (bonus)

• based on "not collected" homeworks

#### Patterns

Friday

Q&A assignment for Draft 6–8 Progression on Expressions and Equations (focus on "overview" and "grade 6")

Review Q&A

### 4:

Monday

Finite differences (bonus)

Daily quiz (self)

#### Functions & graphs

Wednesday

Try water line

Daily quiz (group)

#### Functions & graphs

• find intersections algebraically
Friday

Read Ch 9.8 and try problems (not collected)

Daily quiz (peer)

### 5:

Monday

WORK DAY (no class)

• develop note sheet
• self-quiz using book & quiz problems
Wednesday

#### Review

Friday

Exam 1

• one page notes, one-sided, handwritten
• calculator okay, cell phones not

### 6:

Monday

Try shape introduction and shape classification (both in Canvas > Content > Materials)

New groups, introduce practicum, revisit associativity

#### Shapes

• discuss homework
• CA-251, CA-252
Wednesday

CA-262 (not collected)

Review exam

#### Shapes

• trapezoids: at least one pair of parallel sides vs. exactly one pair of parallel sides
• concept map: circle, triangle, rectangle, square, quadrilateral, parallelogram, rhombus, trapezoid, regular polygon, polygon
Friday

Read 11.2 and try exercises (not collected)

Practicum: Practicum information "quiz" due

#### Measurement

• discuss homework CA-262 (area)
• CA-263 (ruler)
• measurement is a comparision
• Golomb ruler (if time)

#### Perimeter (& area)

• CA-290(1 only), CA-291, CA-292

### 7:

Monday

CPM extra practice for area (not collected)

Daily quiz (bonus for exam 1)

• based on page 1 of exam

#### Perimeter (& area)

Wednesday

Q&A assignment for Draft K-6 Progression on Geometry

Discuss Q&A

#### Area

• square, rectangle, parallelogram, triangle
Friday

Make nets (Canvas > Content)

Daily quiz (group)

#### Area

• rhombus, trapezoid, circle (scissors needed)

#### Polyhedra

• names

Reminder: Practicum lesson preference form due Monday

### 8:

Monday

Practicum: Lesson preference form due

Daily quiz (individual)

#### Polyhedra

• naming: prisim, pyramid, Platonic solids
• surface area: cone
• creating problems
Wednesday

Read 10.5 and try exercises (not collected)

Read 11.1 and try exercises (not collected)

Daily quiz (group)

#### Polyhedra

• surface area: cylinder, sphere
• challenge problems
Friday

Daily quiz (group)

#### Polyhedra

• volume: cube, prism, pyramids, cylinder, cone, sphere
• creating problems

### 9:

Monday

Daily quiz (group)

#### Polyhedra

• creating problems
Wednesday

Daily quiz (group)

#### Symmetry

• interior angles
• rotational symmetry
Friday

Try Sowder 18.1: 4, 7, 8 (for class discussion; in canvas > Content)

Daily quiz (bonus)

#### Symmetry

• discuss learning exercises
• reflective symmetry (miras)
• properties of tesselations (if time)

### 10:

 Monday Practicum: Dry run day Wednesday Practicum: Materials request form due Review Friday Exam 2 (proctored) one page notes (one-sided, handwritten) calculator nets

### 11:

Monday

New groups

#### Statistics introduction

*** Last day to withdraw from classes ***

Wednesday

Bring at least one textbook per group

Complete CA-340-341

#### Displaying data (15.2)

• discuss homework
• types of displays: pictographs, bar , pie, dot, histogram, steam-and-leaf, line, scatter plot

Practicum reminders

• name tags
Thursday

Practicum Morning

Friday

Practicum Afternoon (no class)

### 12:

Monday

Bring at least one textbook per group until further notice

Chapter 15.2, problem 7 (write one inference for each of the six tables)

Notes

• Practicum portfolio
• Remove one Q&A then lower grading scale appropriately?

#### Displaying data (15.2)

• discuss HW
• CA 344-346
Wednesday

Q&A assignment for Draft 6–8 Progression on Statistics and Probability and Against Answer Getting (Daro)

Daily quiz (group)

#### Measures of center (15.3)

• CA 354
• CA 355
Friday

Daily quiz (individual)

• CA 357
• CA 358

### 13:

Monday

Practicum: Portfolios (early deadline for +1 bonus)

#### Data distributions (15.4)

• definitions: mode; skewed, symmetric, bimodel (CA 359); quartiles, IQR, outliers
• box plots: CA 364, CA 365

Complete CA 365 on own. Not collected, but will show up again.

Wednesday

Practicum portfolio work day / "Math" games

Friday Thanksgiving break

### 14:

Monday

Practicum: Portfolios due

books not needed for class

Student evals & feedback

#### Data distributions (15.4)

• CA 365: IQR (spread based on median)
Wednesday

Daily quiz (peer): box plots

#### Data distributions (15.4)

Friday

Daily quiz (group): mean, median, mode

#### Data distributions (15.4)

• CA 365: standard deviation (spread based on mean)
• differences between measures of spread
• percentages for standard deviations
• standard scores

### 15:

Monday

Daily quiz (bonus)

#### Data comparisons

Wednesday

Q&A assignment for Common sense about the Common Core (Schoenfeld)

#### Review

Friday

Try Line of best fit (NCTM Illuminations) of Estimating the line of best fit (Khan Academy)

### Common final exam

Wednesday, December 17 at 3pm (HHH 102)

• calculator
• 1 page notes (1 sided, handwritten)
• manipulatives (e.g., nets)
• cumulative:
• statistics (50%)
• geometry (25%)
• algebra (25%)