# 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?

- what is measurement?
- area formulas (rectangle vs parallelogram, trapezoid, circle area)
- extra practice, Chapter 11.1 practice exercises: 7
- extra practice, read Chapter 12.1, 12.2, 12.3, 12.4

Tuesday

Daily quiz (graded)

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

- increasing complexity with area
- area problems
- extra practice, Area Maze

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?

- names of polyhedra and other solids
- discuss surface area (prism nets, pyramid lengths, cylinder, cone)
- increasing complexity with surface area
- surface area problems
- extra practice, Read Chapter 13.1
- extra practice, Chapter 13.1 practice exercises: 2, 3

### 3:

Monday

Daily quiz (formative)

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

- increasing complexity with surface area
- surface area problems

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?

- discuss volume formulas (array precursor, cubes, pyramids, spheres)
- extra practice, volume problems
- extra practice, Read Chapter 13.3
- extra practice, Chapter 13.3 practice exercises: 4, 6

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

- clean out folders
- topics
- continue practice problems: area, surface area, volume, all

Friday

#### Exam I

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

### 5:

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:

Tuesday

Daily quiz (formative)

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

- finish scale factors
- CA 14v
- extra practice, read Square-cube law

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?

- vocabulary: translation, reflection, rotation
- transformations
- extra practice, read Chapter 14.1
- extra practice, watch Translations, rotations, reflections, and dilations tutorial (Jordan)

### 7:

Monday

Daily quiz (formative)

#### When are two shapes congruent? (continued)

- finish transformations
- extra practice, Chapter 14.1 practice: 1, 2, 3
- extra practice, watch, Pixar: The math behind the movies

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?

- CA 10E, CA 10G, Chapter 10.2 figure 10.39
- chasing angles: puzzle 1, puzzle 2
- extra practice, Read Chapter 10.2
- extra practice, Chapter 10.2 practice #4

Friday

Daily quiz (formative)

#### Review

- Clean out folders
- topics and answering questions
- finish chasing angles: puzzle 1, puzzle 2
- team challenge (as time permits)

### Final exam

- approved calculators
- one page of notes (one-sided, handwritten)
- class manipulatives (nets, miras, transparencies)