Geometry in grades 1-8

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.

Special note: "CA" stands for "Class Activities" as found near the end of the course textbook or scanned into Canvas.

1:

Monday

Introductions

  • assign groups
  • Syllabus scavenger hunt
  • Zukei puzzles (connect dots to find indicated shape)
  • (last 10 mins) review properties of shapes & notation for congruent sides, congruent angles, parallel lines

Tuesday

CA 10t

How are 2D shapes related to each other?

  • classify quadrilaterals (CA 10t)
  • concept map
  • classify triangles (CA 10u)
  • revisit concept map
  • Venn diagrams (CA 10v)
  • extra practice, read Chapter 10.5
  • extra practice, Chapter 10.2 practice exercises: 3

Wednesday

sec 003 - finish CA 10v

How are 2D shapes related to each other? (continued)

  • Every rhombus is a rectangle (True/False)
  • A parallelogram is (Always, Sometimes, Never) a rhombus.
    A rhombus is (Always, Sometimes, Never) a parallelogram.
  • review angles in polygons
  • extra practice, read Chapter 10.2
  • extra practice, Chapter 10.5 practice exercises: 1, 8

Friday

Daily quiz (formative)

How are distances measured abstractly?

  • measure distances using Pythagorean theorem (more examples)
  • measure around a circle, 1 radius : 2π circumference
    (GeoGebra, NCTM Illuminations)
  • (if time) review properties of square roots
  • extra practice, read Chapter 11.2
  • extra practice, Chapter 11.2 practice exercises: 2
  • extra practice, CA 11c (ruler misconceptions)

2:

Monday

Daily quiz (formative)

How are areas derived from other areas?

Tuesday

Daily quiz (graded)

How are areas derived from other areas? (continued)

Wednesday

How are areas derived from other areas? (continued)

  • area problems
  • extra practice, Area Maze
  • extra practice, Chapter 12.2 practice exercises: 1, 2, 3
  • extra practice, Chapter 12.3 practice exercises: 3
  • extra practice, CA 12g

Friday

cut out nets (in Canvas)

Daily quiz (formative)

How are surface areas derived from other areas?

3:

Monday

Daily quiz (formative)

How are surface areas derived from other areas? (continued)

Tuesday

problems 1-2 on surface area problems

Daily quiz (graded)

How are surface areas derived from other areas? (continued)

  • surface area problems
  • extra practice, Read Chapter 13.2
  • extra practice, Chapter 13.2 practice exercises: 7, 8, 9, 11

Wednesday

discuss quiz

How are volumes derived from other volumes?

Friday

Daily quiz (formative)

How are volumes derived from other volumes? (continued)

  • increasing complexity with volume
  • volume problems
  • extra practice, read Chapter 13.3
  • extra practice, Chapter 13.3 practice exercises: 4, 6

4:

Monday

problems 1-2 on volume problems

Daily quiz (formative)

How are volumes derived from other volumes? (continued)

  • volume problems
  • extra practice, read Chapter 13.3
  • extra practice, Chapter 13.3 practice exercises: 4, 6

Tuesday

continue volume problems

Daily quiz (graded)

What are units for measurement?

  • discuss how units relate to measurements (length, area, volumes)
  • continue practice problems: area, surface area, volume, all

Wednesday

discuss quiz

Review

Friday

Exam I

  • approved calculators allowed
  • one pages notes (1-sided, handwritten)
  • manipulatives

5:

Monday

Math Retreat - no class

Tuesday

Discuss exam & new groups

How can we convert length measurements?

  • CA 11b (area units)
  • CA 11g (linear conversions)
  • extra practice, read Chapter 11.4
  • extra practice, Chapter 11.4 practice exercises: 1, 2

What is dimensional analysis?

  • CA 11h (dimensional analysis)
  • practice dimensional analysis with non-standard lengths
  • extra practice, Chapter 11.4 practice exercises: 3,
  • extra practice, Chapter 13.3 practice exercises: 5, 8

Wednesday

problem 1 on CA 11i

How can we convert area or volume measurements?

  • areas: CA 11i (area and volume conversions), CA 11j (area/vol misconceptions)
  • extra practice, Chapter 11.4 practice exercises: 4, 5, 7

Friday

Daily quiz (formative)

How do scale factors affect length, area, and volume?

  • identify WUMPS vs imposters (define similar)
  • compute perimeters and area and identify patterns
  • extra practice, CA 14q: 1 (multiplication means stretching)
  • extra practice, Chapter 14.5 practice: 1, 2, 3, 4

6:

Monday

Enrichment activities

Tuesday

Daily quiz (formative)

How do scale factors affect length, area, and volume? (continued)

Wednesday

finish CA 14V

Daily quiz (graded)

What are different types of symmetries?

  • lines of reflection with miras (see Canvas)
  • rotational symmetry with card sleeves (example from Everyday Math)
  • extra practice, read Chapter 14.2

Friday

discuss quiz

When are two shapes congruent?

7:

Monday

Daily quiz (formative)

When are two shapes congruent? (continued)

student evaluations

Tuesday

Daily quiz (formative)

How can similar triangles be used to solve mathematical problems?

  • definitions: 180 degrees in triangle, AA criteria, 180 degrees in a line, vertical angles
  • similar triangles #1, similar triangles #2 (b challenge)
  • extra practice, Read Chapter 14.6
  • extra practice, Chapter 14.6 practice: 1, 2, 4

Wednesday

finish similar triangles #2 (b challenge)

Daily quiz (graded)

What are properties of parallel lines?

Friday

Daily quiz (formative)

Review

Final exam