Year Long Math 1 2018-2019
Course Syllabus
INTRODUCTION
Foundations of NC Math 1 is offered as a 4 x 4 course. It meets for ninety minutes every day. Upon completing this course, students will progress to NC Math 1 in the spring semester which is also offered as 4 x 4 course. Foundations of NC Math 1 & NC Math 1 curriculum is tied directly to the state guidelines for Math 1 as given in the North Carolina Common Core State Standards. A cumulative final exam will be given during our exam times at the end of first semester for Foundations of NC Math 1 and then the NC Math 1 EOC will be given at the end of second semester.
COURSE GOALS AND OBJECTIVES
This course follows the NC Common Core Course Standards set by the North Carolina Department of Public Instruction. Students will learn and explore all basic and beginning algebraic functions and equations. This course will be the foundation of all High School Mathematics Courses and is the first of four required for High School graduation. The delivery of this course stresses real-life applications and developing mathematical literacy and problem-solving strategies. Appropriate technology will be used on a daily basis for instruction and assessment.
CURRICULUM CALENDAR
I. Interpreting Expressions
II. Solving Equations & Inequalities
III. Introduction to Functions & Linear Functions
IV. Statistics
V. Systems of Equations
VI. Polynomials
VII. Quadratic Functions
VIII. Patterns and Sequences
IX. Exponential Functions
X. Geometry
Course Syllabus
INTRODUCTION
Foundations of NC Math 1 is offered as a 4 x 4 course. It meets for ninety minutes every day. Upon completing this course, students will progress to NC Math 1 in the spring semester which is also offered as 4 x 4 course. Foundations of NC Math 1 & NC Math 1 curriculum is tied directly to the state guidelines for Math 1 as given in the North Carolina Common Core State Standards. A cumulative final exam will be given during our exam times at the end of first semester for Foundations of NC Math 1 and then the NC Math 1 EOC will be given at the end of second semester.
COURSE GOALS AND OBJECTIVES
This course follows the NC Common Core Course Standards set by the North Carolina Department of Public Instruction. Students will learn and explore all basic and beginning algebraic functions and equations. This course will be the foundation of all High School Mathematics Courses and is the first of four required for High School graduation. The delivery of this course stresses real-life applications and developing mathematical literacy and problem-solving strategies. Appropriate technology will be used on a daily basis for instruction and assessment.
CURRICULUM CALENDAR
I. Interpreting Expressions
- Compute with rational numbers
- Write, read and evaluate expressions
- Apply order of operations
II. Solving Equations & Inequalities
- Read, write, reason and solve multiple forms of equations
- Solve linear equations with one solution, no solution and infinitely many solutions using tables, graphs and algebraic representations
- Master the solutions of linear equations and apply related solution techniques
III. Introduction to Functions & Linear Functions
- Learn function notation and develop the concepts of domain and range
- Explore functions and interpret them graphically, numerically, symbolically, and verbally, translate between representations, and understand the limitations of various representations.
- Evaluate functions
- Investigate patterns of association in bivariate data related to scatter plots
- Create and graph linear functions
- Explore many examples of functions including sequences
- Manipulate between representations including stats (line of best fit and residuals) and understand the relations to patterns
- Use regression techniques to describe approximately linear relationships between quantities
- Use graphical representations and knowledge of the context to make judgements about the appropriateness of linear models
- Look at residuals to analyze goodness of fit
- Interpret arithmetic sequences as linear functions
IV. Statistics
- Develop an understanding of statistical variability
- Summarize and describe distributions of dot plots, histograms, and box plots
V. Systems of Equations
- Find and interpret solutions of systems of equations
- Graph and solve systems of linear equations
- Identify constraints on systems of inequalities
- Graph systems of inequalities
VI. Polynomials
- Add, subtract, multiply and divide polynomials
- Use formulas for perimeters and area of squares, rectangles and triangles with variable lengths
- Use formulas to find volume of cubes and boxes with polynomial lengths
- Work with integers and exponents to generate equivalent expressions
VII. Quadratic Functions
- Compare the key characteristics of quadratic functions to those of linear and exponential functions
- Differentiate between linear, quadratic and exponential functions to model key characteristics
- Anticipate the graph of a quadratic function by interpreting its various forms
- Identify the real solutions of a quadratic equation as the zeroes of a related quadratic function
VIII. Patterns and Sequences
- Understand the connections between proportional relationships in arithmetic sequences, tables and graphs
- Write arithmetic and geometric sequences recursively and with an explicit formula
IX. Exponential Functions
- Create and interpret multiple representations of equations and inequalities
- Distinguish between exponential growth and decay graphically including rates
- Compare and contrast linear and exponential functions, distinguishing between additive and multiplicative change
X. Geometry
- Investigate properties of parallel and perpendicular lines
- Use slope criteria for parallel and perpendicular lines to solve problems
- Use coordinates to prove simple geometric theorems algebraically
- Students will graphically distinguish between one solution, no solution or infinitely many solutions based on lines being parallel, intersecting or the same line