Mathematics for Elementary Teachers II

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 Class canceled—Labor Day
Wednesday

Introductions

Friday

Create a percent problem

Bring "stopwatch" with hundredths (e.g., iPhone app).

Percents & decimals (hundredths)

  • percents → decimals (two-place) → fractions
  • percents: Real word applications; 100%, 50%, 1%, 99%, 25%
  • discuss reading & handouts
  • representations
  • start Linear measurements (first page)
  • stopwatches - record various attempts

2:

Monday

Complete Linear measurements

Make Conversion cards.

Fractions

  • discuss Linear measurements
  • names
  • show "three fourths" different ways
  • card games
Wednesday

Identify unknown vocabulary in CCSS Fractions section

(optional extra practice) how much to make one?

Daily quiz (self assessed)

  • meaning of percent, two-digit decimals, common fractions
  • conversion between percents and decimals
  • converting common fractions and decimals
  • addition or subtraction with percents, decimals, or fractions

CCSS Grade 3

  • develop at least 3 activities on whiteboards
  • e-mail pictures of whiteboards
  • comparing fractions with same denominator & numerator
Friday

Create fraction strips (emphasis on "strip")

Daily quiz (peer assessed)

CCSS Grade 3 discussion

  • activity tips: 1, 2, 3, 4
  • equal shares
  • fraction equivalence using fraction strips
  • fraction strip addition and subtraction

3:

Monday

Learning exercises for 6.1: 3, 9def, 12 (Sowder, 104-105)

Daily quiz (group)

  • Fraction strips

CCSS Grade 4

  • equivalance with area models
  • compare with common denominators and benchmarks
  • decomposition to unit fractions (multiplying by whole number)
  • addition and subtraction with same denominator
  • addition and subtraction with different denominators
  • misconception: 2/3 is bigger than 8/10 because distance b/w numerator and denominator is smaller

Last day to drop full-semester courses with no record

Wednesday

Learning exercise 6.2: 3, 6 (Sowder, p. 111)

Learning exercise 7.1: 3 (Sowder, p. 127)

Try comparing fractions visually

Daily quiz (bonus!)

  • Today's homework

CCSS Grade 5

  • Distance to one
  • Generalize addition
  • Generalize multiplication
  • CA-66, 67
Friday

Learning exercises for 6.1: 14, 15 (Sowder, p. 106-107)

Daily quiz (die roll)

  • CCSS Grade 5

CCSS Grade 5

  • multiplication with fraction strips

4:

Monday

Create pattern blocks: 4 hexagons, 8 trapezoids, 10 parrellograms, 12 triangles

Daily quiz (die roll)

  • multiplication with fraction strips

Pattern blocks

Assign Refraction game (bonus)

Note: Exam one moved up. Will be in one week!

Wednesday

Attempt multiplication

Daily quiz

Pattern blocks

Friday

Review

5:

Monday

Exam 1

  • one page of notes allowed (1-sided, handwritten)
  • manipulatives allowed (fraction strips, pattern blocks)
Wednesday

Refraction game (bonus)

New dice rolls for quizzes

Division

Friday

Pattern block division: D1 and D2

Daily quiz

  • pattern blocks

Return Exam 1

Pattern blocks

6:

Monday

Create story problems for D1 and D2

GeoGebraTube: Division of fractions (partitive)

New groups & DQ (group)

Pattern blocks

Wednesday

D5-D8 on pattern blocks

Daily quiz

  • division of fractions with visuals
  • story problems for division of fractions

Pattern blocks

  • division
  • how visuals relate to "invert and multiply"
Friday

challenge division problem

(optional) division of fractions (Davis & Pearn)

Daily quiz (group?)

  • student work

Pattern blocks

Abstract methods

7:

Monday

use alternate algorithms to solve \( \frac{5}{6} \div \frac{1}{3} \)

(optional) more on fraction division

Daily quiz

  • alternate division methods

Wrap-up division of fractions

  • how visuals relate to "invert and multiply" and part-to-whole
  • unit fraction divided by whole number
  • whole number divided by unit fraction

Practicum information

Wednesday

establish practicum groups

Daily quiz

  • division of fractions

CCSS Grade 5

Friday

(optional) chapter 7.3: activity 3 (Sowder, p. 136)

CCSS Grade 6 & 7 - ratios

Practicum lesson preference form (in Canvas) (1 per group)

8:

Monday

chapter 7.3: activity 4 (Sowder, p. 137)

(optional practice) ratio problems

Daily quiz

  • decimals

CCSS Grade 6 & 7 - ratios

Practicum lesson preference form (in Canvas) (1 per group)

Wednesday

chapter 7.3: discussion 5 (Sowder, p. 138)

read Cross-multiply for proportions

Daily quiz

  • ratios and work problems

CCSS Grade 7 - comparing ratios (proportions)

Practicum lesson preference form (in Canvas) (1 per group)

Friday

Practicum lesson preference form (in Canvas) (1 per group)

(optional practice) constructing proportions

Daily quiz

  • proportions

CCSS Grade 6 & 7 - percentage & ratios

9:

Monday

(optional practice) constructing proportions

Review

Wednesday

Exam 2

  • one page of notes allowed (1-sided, handwritten)
  • manipulatives allowed (fraction strips, pattern blocks)
Friday

Return exam

Prep for dry run day

10:

Monday

Dry Run Day (for practicum)

Practicum materials request forms

Wednesday

Practicum material request forms

New groups

CCSS Grade 7 - probability

Collect for practicum

Friday

28.1 activity #3ab (Sowder, p. 640)

Daily quiz

CCSS Grade 7 - probability

Collect for practicum

11:

Monday

28.1 activity #3cd (Sowder, p. 640)

Practicum

CCSS Grade 7 - probability

Last day to withdraw from individual full-semester classes.

Wednesday Practicum day @Lakeshore Elementary
Friday

Practicum self-evaluations

CCSS Grade 7

Assign practicum reflections (due Monday after Thanksgiving break)

12:

Monday

Learning exercise 33.1 #2, 6 (p. 779-780)

Daily quiz

CCSS Grade 7

Wednesday

Learning exercise 27.2 #9, 12 (Sowder, p. 623)

Daily quiz

Advanced probability

Assign dice distribution (bonus)

Friday

Learning exercise 28.4 #1 (Sowder, p. 658)

Daily quiz

Advanced probability

CCSS Grade 8

13:

Monday

Learning exercise 6.3: 1abc, 2def (Sowder, p. 116)

Daily quiz

CCSS Grade 8

Wednesday

Dice distribution (bonus)

Applied probability

Friday No classes—Thanksgiving break

14:

Monday

Practicum reflections: 1 group, 2 individual

Student evals & "cards" for practicum

CCSS Grade 8 - similarity

  • mug wump with geoboards (or graph paper)
  • who are the imposters?
  • definition of similar, scale factor
  • effects on perimeter, area
Wednesday

Find perimeter and area of Yug's nose (scale factor of 4)

Daily quiz

CCSS Grade 8 - similarity

  • finish Wumps
  • learning exercise 20.1: 2, 9 (Sowder, p. 454-455)
Friday

Watch translation, reflections, rotations, dilations

finish Learning exercise 20.1: 2, 9 (Sowder, p. 454-455)

Daily quiz

CCSS Grade 8 - transformations

15:

Monday

Watch Pixar: The math behind the movies

Try Keylock puzzle

Daily quiz

Review CCSS

  • create multi-step problem for each area
Wednesday

Daily quiz

Class review problems

Friday

Daily quiz (bonus)

Review

Common final exam

Tuesday, December 17 at 3pm (HHH 103)