• STEM Innovation Academy of the Oranges

Integrated Mathematics II - Geometry

Ms. Fonseca

“A person who never made a mistake never tried anything new.” ~ Albert Einstein

Course Description

The Integrated Mathematics II curriculum is designed to promote depth of knowledge and conceptual understanding in 5 critical areas organized into units designed to deepen and extend students’ mathematical understanding. In Integrated Mathematics II, students use geometric transformations to define similarity, which leads to triangle similarity criteria and using these criteria to prove a wide variety of theorems and to solve problems. The definitions for sine, cosine, and tangent develop from the understanding that side ratios are predictable for triangles with given angle measures. Finally, students construct more sophisticated arguments for the circumference, area, and volume formulas that they learned in earlier grades. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

Instructor

Ms. Chelsea M. Fonseca received her B.S. in Mathematics from Montclair State University, as well as her Master of Arts in Teaching Pre-K to Grade 12 from Montclair State University in the Teacher Education Program.

Teacher Availability

Ms. Fonseca will be available:

• During Advisory periods during the school day.
• During Office Hours from 3:30-4PM every school day except Mondays.

**She will also be available outside of those times by appointment.

Required Materials

• Pencils & Erasable Pens
• 2” Binder with reinforced loose leaf lined paper
• 1 Folder
• 1 Box of Tissues/ Hand Sanitizer (recommended)
• Chromebook

• Course Objectives

Students who successfully complete the Integrated Math 2 Honors curriculum will be competent in these mathematical practices and exercise these habits of mind:

Mathematical Practices

• Identify Geometric Shapes: terminology and specific characteristics of geometric shapes
• Transformation of Shapes: reflect, rotate and translate shapes
• Probability: use probability to make predictions about real world situations
• Angles: classification, measurements and relationships of different angles
• Area of Geometric Shapes: calculate the area of shapes in proper units of measure
• Similarity and Congruence: properties of similar shapes and congruent shapes
• Trigonometric Functions: sine, cosine, and tangent of triangles
• Proofs: write two-column proofs for real world problems
• Circles: angles of a circle, circumference, area, similar and congruent
• Solids: volume and surface area of three-dimensional solid

Habits of Mind

• Creativity
• Optimism
• Persistence
• Systems thinking
• Conscientiousness
• Collaboration

Course Outline

Unit 1: Rigid Transformations

Unit 2: Dilation & Similarity

Unit 3: Triangles & Trigonometry

Unit 4: Lines & Angles

Unit 5: Circles

Unit 6: Area & Volume

General Classroom Expectations

• Arrive to class prepared & on time each day.
• Ask for help if you do not understand.
• Be a resource to your fellow students.
• Participate.
• Help create a positive environment.

• Skills and Proficiencies

Critical Area 1: Students work with expressions and creating equations; using quantities to model and analyze situations, to interpret expressions, and by creating equations to describe situations.

Critical Area 2: Students model relationships between quantities; using function notation and develop the concepts of domain and range; exploring examples of functions, including sequences; interpreting functions given graphically, numerically, symbolically, and verbally, and translating between representations, and understand the limitations of various representations. They compare and contrast linear and exponential functions, distinguishing between additive and multiplicative change. They interpret arithmetic sequences as linear functions and geometric sequences as exponential functions.

Critical Area 3: Students analyze and explain the process of solving an equation and to justify the process used in solving a system of equations.

Critical Area 4: Students use more formal means of assessing how a model fits data. Students use regression techniques to describe approximately linear relationships between quantities and graphical representations and knowledge of the context to make judgments about the appropriateness of linear models.

Critical Area 5: Students establish triangle congruence criteria, based on analyses of rigid motions and formal constructions. They solve problems about triangles, quadrilaterals, and other polygons. They apply reasoning to complete geometric constructions and explain why they work.

Critical Area 6: Students use a rectangular coordinate system to verify geometric relationships, including properties of special triangles and quadrilaterals and slopes of parallel and perpendicular lines.

The Mathematical Practice Standards apply throughout each unit together with the content standards and prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

• Technology

•  Students will be expected to charge and use their Chromebook daily.

• Google Classroom – Links to all class materials will be posted daily.

If students are ever absent from class, they should review all course materials from the day they missed and request to meet with the instructor if they have any questions.

• Genesis – Grades will be available to students and parents through the Genesis portal. Students are responsible for checking grades and being aware of their work regularly.

Missing and incomplete assignments can be viewed on Genesis. If absent, each student will have two days to make up for a missing assignment. After that, a 5-point penalty will be taken off any assignment for each day it is late. If a student is not absent, but failed to complete an assignment, they may request an extension by speaking with the instructor. A 5-point penalty will be taken off the assignment every day if it is not turned in within 5 consecutive days. For example, a homework or classwork assignment that is late for a period of 5 school days, without being excused, is only eligible to receive a maximum score of 75. Additionally, parents will be contacted when a student misses an assignment and administration will be notified. Excessive missing assignments will result in disciplinary action.

• Remind – Communication with students will be done via Remind. All students must have the app downloaded with notifications turned on.

Student & Parent Remind Class Code Section 1 - 9th Grade: ...

Student & Parent Remind Class Code Section 2 - 9th Grade: ...

Student & Parent Remind Class Code Section 3 - 10th Grade: ...

1. Homework (10%): Students should expect homework every class day. If students are absent, they will have two days to make up a missing assignment. After that, the 5% penalty will be taken off for each day. If a student is not absent, they may request an extension by speaking with the instructor. All assignments are given in a timely fashion, so they are expected to be completed in a timely manner.
2. Classwork (20%): Assignment handouts and Google Classroom questions are some examples of graded classwork. Students are expected to finish and submit classwork within the class period. If a student fails to complete the classwork at the end of the period, they may submit the assignment online by 4 PM via Google Classroom.
3. Formative Assessments/Quizzes (20%): Students should expect a quiz once every two weeks, unless there is another scheduled assessment.  Students who miss these assessments must make them up the following day.
4. Summative Evaluations/Tests (25%): Tests are essential for demonstrating math skills and practices. Expect four tests every marking period. Make-up tests must be scheduled within a week of the test date.
5. Authentic Assessments (25%): Projects and presentations are to be expected. Authentic assessments are graded using separate rubrics that will be reviewed at the beginning of every assessment. These rubrics will be based on content knowledge, practice of 21st century skills, embodiment of habits of mind and/or application of mathematical practices. Expect four authentic assessments per marking period.

• We, the undersigned student and parent/guardian, have reviewed the expectations of the class/course outlined in the syllabus and accept the terms and expectations as laid out.

I, as the student, further understand that my parent/guardian may be contacted if I am found to be in default of my expectations, solely for the purpose of correcting the problem before my grades are put in jeopardy.

(student signature) (printed name) (date)

(Parent signature) (e-mail) (phone)

Do you have internet access at home?

⬜    Yes

⬜    No

Does your child have a cellphone?

⬜    Yes

⬜    No

Any other information I should know: