Mathematics for Elementary Teachers I

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

Introductions

Wednesday

Prepare alt algorithm presentations

Alternate algorithms

Friday

Watch Progression of multiplication

Finish alternate algorithms

Estimation & Mental math

2:

Monday

Q&A assignment for Never Say What a Kid Can Say

Discuss Q&A

Estimation & mental math

Problem solving

Wednesday

try pizza problem (about 30 mins)

watch Handshake problem (YouTube video. 3rd graders)

Daily quiz (peer)

Problem solving

Friday

try Gauss worksheet (first three problems)

Daily quiz (hybrid)

Gauss's method

*** Last day to drop full-semester courses with no record ***

3:

Monday

Q&A assignment for Equality (p. 9-24)

finish Gauss worksheet

Daily quiz (group)

Venn diagrams

Wednesday

finish Venn problem worksheet

Daily quiz (bonus)

Venn diagrams

Friday

set notation (first 2 problems)

Venn diagrams

4:

Monday

Read "Use Matrix Logic" in D2L Content for Problem Solving

Check set notation answers

Matrix logic

Wednesday

Try Gauss practice

Review day

Friday

Exam I

  • notesheet allowed (1 page, 1-sided, handwritten)
  • no calculators!

5:

Monday

Q&A assignment for CCSS Learning Progression: K-2 Operations (p. 6-21)

New groups, discuss exam, review Q&A

CCSS addition/subtraction (K-2)

Wednesday

finish types & unknowns

Daily quiz

CCSS addition/subtraction (K-2)

Friday

classify problems on relative difficulty

Daily quiz

CCSS addition/subtraction (K-2)

6:

Monday

Q&A assignment for CCSS Learning Progression: Operations Appendix (p. 36-39)

Daily quiz

CCSS solution strategies (K-2)

Wednesday

prepare solution strategies

Daily quiz

CCSS solution strategies (K-2)

Friday

finish finding a problem for a strategy

Daily quiz

CCSS solution strategies (K-2)

7:

Monday

Q&A assignment for CCSS Learning Progression: Grade 3-5 Operations (p. 22-32)

Daily quiz

CCSS multiplication/division (3-5)

  • discuss "equal groups": (# groups) × (# per group) = product
    • multiplication is when the product is unknown
    • partitive division is when # of partitions is KNOWN (# per group unknown)
    • quotative division is when # per group is KNOWN (# groups unknown)
  • discuss array/area, multiplicative comparison
  • identify problems (answers)
  • start remainders
Wednesday

finish remainders

optional, extra pracitce with partitive and quotative

Daily quiz

CCSS multiplication/division (3-5)

Friday

Create an interview questions (bring 2 copies without labels for problem types/unknowns)

Daily quiz

Interview Project

8:

Monday

extra practice: 3.1, CA 50, CA 51, CA 53-55, 4.1, CA 72

Assign Interview Project

Review

Wednesday

Exam 2

  • notesheet allowed (1 page, 1-sided, handwritten)
Friday Discuss exam

~~~ Spring break ~~~

9:

Monday

New groups

Place value

  • introduction to the Base 5
  • base blocks
Wednesday

read Place value would be so useful right now (not Q&A)

try covering your bases (change tick marks to "5")

Historic enumeration systems

Friday

finish enumeration activity

(optional) Egyptian numeral practice

Arithmetic

10:

Monday

complete addition & subtraction

(optional) Mayan numeral practice

Daily quiz

Arithmetic

Wednesday

Class cancelled—MSP Grant Meeting

Friday

CCSS Interview Project (early early bird, +2 bonus)

finish multiplication

Daily quiz

Arithmetic

  • why do mathematicans confuse Halloween and Christmas?
  • finish multiplication
  • division: partitive and quotative

*** Last day to withdraw from full-semester courses ***

11:

Monday

finish division

test base interactive worksheet

read Chapter 3.3

Daily quiz

Error patterns

Wednesday

finish first nine error patterns

Daily quiz

Error patterns

Friday

watch Sea of zeros

optional extra practice with error patterns

Daily quiz

Integer models

12:

Monday

CCSS Interview Project (early bird, +1 bonus)

Daily quiz

Negative numbers

  • negative × negative = positive
Wednesday

Quick advising

Review day

Friday

Exam 3

  • notesheet allowed (1 page, 1-sided, handwritten)

13:

Monday Class canceled—Math Retreat
Wednesday

CCSS Interview Project (final due date)

New groups

Unique factorization theorem

  • hot dogs (10) vs. buns (8)
  • factors, multiples, GCF, LCM
  • conjecture: A * B = LCM(A, B) * GCF(A, B)
Friday

Chapter 8.5 - 1, 2, 4 (p. 340)

Read Is One Prime (NCTM)

Unique factorization theorem

14:

Monday

Chapter 8.5 - 9, 10 (p. 340)

Unique factorization theorem

Wednesday

optional, try mystery number

Properties of operations

Friday

finish properties

recommended Chapters 3.2 - 9, 12 (p. 110-111)

Properties of operations

15:

Monday

properties challenge

Evaluations / Updated grading scale / Check homework

Review

Wednesday

Bring 8 copies of practice tests to pilot with two different groups

Review

  • clean out folders
  • topics
  • pilot practice tests

Submit practice test (PDF) and key to Canvas by noon on Thursday

Friday

Review

Common final exam

(University finals schedule)