Course Syllabus

Villa Academy Middle School

FOUNDATIONS FOR ALGEBRA COURSE 1

Teacher:  Lindsay Gomula

Room: 523

Extension: 247

Email: lgomula@thevilla.org

 

About this Course: (from cpm.org)

Making Connections: Foundations for Algebra, Course 1 is the first of a two-year
sequence of courses designed to prepare students for a rigorous college preparatory
algebra course. It uses a problem-based approach with concrete models. The course
helps students to develop multiple strategies to solve problems and to recognize the
connections between concepts. The lessons in the course embed the “Mathematical
Practices” of the Common Core State Standards released in June 2010.

 

 

EXPECTATIONS:

Students are expected to:

  • Be on time to class every day and in their seats at the designated start of class
  • Bring the required materials to class every day (see list below)
  • Be alert and pay attention during class discussions
  • Take notes during class discussions and presentation of new information
  • Be prepared to share their answers to homework assignments
  • Be respectful of their classmates and teachers at all times
  • Ask permission to leave the classroom at all times
  • Do all homework, tests, and quizzes in pencil
  • Put the proper heading on homework assignments
  • Correct their homework assignments and ask questions about problems they missed
  • Turn in homework on the day after it is assigned unless told otherwise by their teacher
  • Turn in missed assignments due to absents within 3 days of their return to class unless prior arrangements are made with their teacher
  • Try their best on assignments and assessments
  • Have a positive attitude

 

Students can expect to:

  • Have 20 to 30 minutes of homework each night, if they do not use class time given to work on assignments
  • Have a classroom environment that is conducive to learning
  • Receive help from their teacher at anytime during class, before school, or after school
  • Be able to ask questions and receive an answer that they understand
  • Have the subject matter presented in a way that allows them to learn
  • Learn methods that will help them solve real world problems
  • Learn the information that will allow them to be successful in future math classes
  • Tests and quizzes graded within a reasonable amount of time, they may not be returned until all students have taken the test

 

MATERIALS:

Students are required to bring the following to class every day

  • Pencil and colored pen to correct assignments
  • Math Notebook (Spiral, graph paper if possible)
  • Their textbook
  • Paper and graph paper
  • Calculator

 

GRADING POLICY:

Assessments (40%)

  • Problems will be similar to those assigned for homework and in class assignments, as well as problems that will require the student to apply their knowledge of current and past work.
  • Students will be given partial credit on problems where the answer is not correct as long as they show the steps for solving the problem.
  • Students will be able to use their notes on their assessments
  • One assessment will be given per unit

Quizzes (20%)

  • Problems will be similar to those assigned for homework and in class assignments, as well as problems that will require the student to apply their knowledge of current and past work.
  • Students will be given partial credit on problems where the answer is not correct as long as they show the steps for solving the problem.
  • Students should expect 1-3 quizzes per unit

Classwork/ Homework (30%)

  • Daily assignments will be graded on a 4 point scale.  Points are based on the students attempt to complete the assignment
  • In order to receive full credit on a homework assignment, students must correct all problems that were incorrect and show the proper steps for completing the problem

Projects (10%)

  • Students should expect one project per trimester
  • Students will be given expectations and a rubric when the project is assigned
  • Class time as well as home time will be used to complete each project

Grading Scale is the same as Villa’s Middle School grading scale.

 

CURRICULUM:


Unit 1: Review
  • All operations with whole numbers
  • All operations with decimals
Unit 2:  Prime factorization, GCF and LCM
  • Prime factorization
  • GCF
  • LCM
  • Word problems
Unit 3: Introduction to Integers
  • All operations with integers
  • Representing integers on a number line and using integers tiles
  • Absolute value and ordering of integers
  • Writing variable expressions and equations
  • Order of operations
  • Substitute and evaluate

PROJECT:  writing integer word problems

Unit 4:  Analyzing Data
  • Mean, median, mode and range
  • Box and whisker plots
  • Stem and leaf plots
  • What makes a good survey
Unit 5: Fractions
  • Review of all operations with fractions
  • Basic equations with fractions
  • Fraction, decimal, percent problems
  • Advanced: Adding, subtracting, multiplying and dividing positive and negative fractions
Unit 6: Simplifying expressions
  • Intro to algebra tiles
  • Combining like terms
  • Simplifying using the distributive property
  • Evaluating expressions using substitution
  • Writing expressions
Unit 7:  Equations
  • Solving one step equations
  • Solving 2 step equations
  • Solving word problems
  • Advanced:  solving multi-step equations
Unit 8: Graphing on a coordinate plane
  • Graphing in all 4 quadrants
  • Solve word problems by graphing in all 4 quadrants
Unit 9: Unit rate, ratios, slope and graphing
  • Concept of unit rate
  • Concept of equivalent ratios
  • Graphing slopes based on tables
Unit 10: Proportions
  • Distance, rate and time
  • Graphing proportional relationships
  • Identifying and using proportional relationships
  • Finding missing info in proportional relationships
Unit 11:  Geometry
  • Area formulas
  • Discovering pi
  • Circumference and area of a circle
Unit 12:  Volume and Surface area
  • Prisms
  • Pyramids
  • Cylinders
  • Cones

 

Unit 13: Probability

 

  • Experimental probability
  • Theoretical probability
  • Compound probability