Download Course Outlines

Course Outlines
Name of the course:
Algebra 1 Common Core
Course description:
This course takes an informal and inductive approach to the study of
Algebra. Fewer topics are covered, but they are mastered in
preparation for Geometry.
Essential Questions:
• When and why should we estimate?
• Is there a pattern?
• How does what we measure influence how we measure?
• How does how we measure influence what we measure or don’t
measure?
• What do good problem solvers do especially when they get
stuck?
• How precise should this solution be?
• What are the limits of this mathematical model and of
mathematical modeling in general?
Kennebunk High School
Topics:
Unit I – An Introduction to Algebra
Variables, Expressions, Order of operations, Algebraic properties
Unit 2 – Solving Equations
Solving one-step equations, solving two step equations, solving multi-step
equations, rewriting formulas, solving absolute value equations, solving proportions,
solving percent problems,
Unit 3 – Graphs of Linear Equations
Graphing slope-intercept, graphing vertical and horizontal lines, graphing standard
form, Slope, x and y intercepts
Unit 4 – Equations of Linear Functions
Writing equations in slope intercept form, writing equations in standard form,
finding equations of lines parallel and perpendicular.
Unit 5 – Linear Inequalities
Solving linear inequalities, solving compoung inequalities, solving absolute value
inequalities, Graphing Inequalities on the coordinate plane
Unit 6 – Systems of Equations and Inequalities
Graphing Systems of equations, Solving systems by substitution, solving systems
by elimination, graphing systems of linear inequalities
Unit 7 – Properties of Exponents and Operations on Polynomials
Laws of exponents, adding and subtracting polynomials, multiplying a polynomial
by a monomial, multiplying polynomials
Assessment:
Internal Assessments:
Book and Teacher Generated tests and quizzes
Homework
Projects
Notebooks
Common Assessments:
Average Rate of Change
Graphs and Equations
Simplifying Expressions
Solving Linear Equations and Inequalities
Kennebunk High School
Learning Standards :
A.CED.1
Create equations and inequalities in one variable and use them to solve problems.
(Linear)
A.CED.2
Create equations in two or more variables to represent relationships between
quantities; graph equations on coordinate axes with labels and scales.(Linear)
A.CED.4
Rearrange formulas to highlight a quantity of interest, using the same reasoning
as in solving equations.
A.REI.1
Explain each step in solving a simple equation as following from the equality of
numbers asserted at the previous step, starting from the assumption that the
original equation has a solution. Construct a viable argument to justify a solution
method.
* A.REI.3
Solve linear equations and inequalities in one variable, including equations with
coefficients represented by letters.
A.REI.6
Solve systems of linear equations exactly and approximately (e.g., with graphs),
focusing on pairs of linear equations in two variables.
* A.REI.10
Understand that the graph of an equation in two variables is the set of all its
solutions plotted in the coordinate plane, often forming a curve (which could be a
line).
A.REI.12
Graph the solutions to a linear inequality in two variables as a half-plane
(excluding the boundary in the case of a strict inequality), and graph the solution
set to a system of linear inequalities in two variables as the intersection of the
corresponding half-planes
A.APR.1
Understand that polynomials form a system analogous to the integers, namely,
they are closed under the operations of addition, subtraction, and multiplication;
add, subtract, and multiply polynomials.
Kennebunk High School
* A.SSE.2
Use the structure of an expression to identify ways to rewrite it.
*F.IF.6
Calculate and interpret the average rate of change of a function (presented
symbolically or as a table) over a specified interval. Estimate the rate of change
from a graph.
* denotes a KHS Mathematics Proficiency Standard
Resources:
! Glencoe; Algebra I Textbook, with Practice and Study Guides
! Teacher generated Assessments
! Teacher generated Notes
Kennebunk High School