# 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 game
- Zukei puzzles (connect dots to find indicated shape)
- review properties of shapes & notation for congruent sides, congruent angles, parallel lines

Wednesday

Class Activity 10t (in book or D2L "Content")

#### How are 2D shapes related to each other?

- discuss classifying quadrilaterals (CA 10t)
- classifying triangles (CA 10u)
- compare Venn diagrams (CA 10v)
- extra practice
- Read Chapter 10.5
- Chapter 10.2 practice exercises: 3

Thursday

Read Chapter 10.2

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

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

Friday

Read Chapter 11.2

#### What is measurement?

- linear: CA 11c (rulers), CA 11h: 1ab, 2 (conversions)
- areas: CA 11b (notation), CA 11i (conversions)
- extra practice
- Read Chapter 11.1
- Chapter 11.2 practice exercises: 2
- CA 11g; CA 11j

### 2:

Monday

CA 11i

#### How are areas derived from other areas?

- area formulas (Pythagorean theorem, trapezoid, circumference, circle area)
- start area practice
- extra practice
- Chapter 11.1 practice exercises: 7
- Read Chapter 11.4
- Chapter 11.4 practice exercises: 3, 4
- Read Chapter 12.1

Wednesday

attempt area practice through #4

#### What is the area?

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

Thursday

#### Quiz

Friday

cut out nets (in D2L "Content")

#### How are surface areas derived from other areas?

- polyhedra names
- surface area (nets, cylinder, cone)
- start surface area practice
- extra practice
- Read Chapter 13.1
- Chapter 13.1 practice exercises: 2, 3

### 3:

Monday

surface area practice though #3

#### What is the surface area?

- continue surface area practice
- extra practice
- Read Chapter 13.2
- Chapter 13.2 practice exercises: 7, 8, 9, 11

Wednesday

#### How are volumes derived from other volumes?

- discuss volume formulas (cubes, pyramids, spheres)
- start volume practice
- extra practice
- Read Chapter 13.3
- Chapter 13.3 practice exercises: 5, 6, 8

Thursday

#### Quiz

Friday

#### What is the volume?

- continue volume practice
- extra practice
- Read Chapter 13.3
- Chapter 13.3 practice exercises: 5, 6, 8

#### Review

- clean out folders
- topics

### 4:

Monday

#### Exam

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

Wednesday

#### No class - Thanksgiving break

Thursday

#### No class - Thanksgiving break

Friday

#### No class - Thanksgiving break

### 5:

Monday

#### Math Retreat -- No classes

Wednesday

make shapes with 0, 1, 2, 3, 4 total symmetries

New groups

#### 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

#### When are two shapes congruent?

- vocabulary: translation, reflection, rotation
- transformations
- CA 14C
- extra practice
- Read chapter 14.1
- Chapter 14.1 practice: 1, 2, 3
- CA 14B
- watch Translations, rotations, reflections, and dilations tutorial (Jordan)
- For fun watch, Pixar: The math behind the movies

Friday

#### When are two shapes similar?

- finish congruent shapes & CA 14B
- mug wump (which is which?, alt: graph paper or geoboards)
- extra practice
- Chapter 14.1 problems: 7

### 6:

Monday

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

- relationship between scale factors, perimeter, area, and volume
- CA 14u: 2, 5 where L=1, W=2, H=3
- CA 14v
- CA 14q: 1 (multiplication means stretching)
- extra practice
- Chapter 14.5 practice: 1, 2, 3, 4

Wednesday

try CA 14v

#### How can similar triangles be used to solve mathematical problems?

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

Thursday

#### Quiz

Friday

try CA 14q #1

#### What are properties of parallel lines?

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

### 7:

Monday

bring internet-connected device

#### GeoGebra

student evaluations

Wednesday

#### Review day 1

- conversions
- deriving formulas

Thursday

#### Quiz

### Final review

Monday, 11 am - 1 pm, HHH 312 (tentative)

### Final exam

- One page notes, 1-sided, handwritten
- Approved calculators
- Manipulatives: nets, card sleeves, miras (instructor will bring some to final)