Download Common Curriculum Map Discipline: Math Course: Algebra 1

Common Curriculum Map
Discipline: Math
Course: Algebra 1
Semester One:
Standards:
6.11.01
6.11.02
6.11.04
6.11.05
6.11.06
6.11.07
6.11.08
6.11.09
6.11.10
6.11.13
6.11.14
6.11.15
6.11.16
6.11.17
6.11.18
6.11.19
7.11.01
7.11.04
7.11.07
8.11.01
8.11.02
8.11.06
10.11.03
Essential Questions:
Chapter 1
What is an algebraic expression?
How would you use the properties of numbers to simplify an algebraic expression?
Chapter 2
How would you simplify/evaluate a rational expression using the rules of rational numbers?
How would you compare rational numbers?
Chapter 3
How do you determine if a number is a solution of an equation?
How do you decide what to do to both sides of an equation to solve it?
Chapter 4
Why is a percent a ratio?
How do you set up a proportion?
Chapter 5
What is the major difference between solving an equation and solving an inequality?
What is the difference between an "and" statement and an "or" statement?
Chapter 9
How do you graph an ordered pair?
How do you recognize a graph of a linear function?
Content:
Chapter 1
Variable Expressions
Operations and Properties
Problem Solving
Chapter 2
Operations with Rational Numbers
Inequalities and the number line
Problem Solving Strategies for Solving Equations
Chapter 3
Solving single variable equations
Chapter 4
Applications of Rational Numbers
Chapter 5
Inequalities
Chapter 9
Graphing
Skills:
Chapter 1 Skills:
Evaluate expressions and formulas
Use mathematical properties to simplify expressions
Solve open sentences
Translate verbal expressions into mathematical expressions and equations
Chapter 2 Skills:
Simplify expressions
Add/Subtract/Multiply/Divide and Compare rational numbers
Graph inequalities
Write equations for verbal problems
Chapter 3 Skills:
Solve equations using one or more operations
Solve equations containing fractions or decimals
Solve problems that can be represented by equations
Work backwards to solve problems
Chapter 4 Skills:
Solve proportions
Solve problems that can be represented by proportions
Solve uniform motion problems
Solve problems involving direct variation
Chapter 5 Skills:
Solve inequalities
Solve compound inequalities
Solve problems that can be represented by inequalities
Chapter 9 Skills
Graphing ordered pairs on a coordinate plane
Graphing linear equations on a coordinate plane
Assessment:
Quiz 1.1-1.4
Chapter 1 Test
2.1-2.5 Quiz
Chapter 2 Test
Quiz 3.1-3.3
Chapter 3 Test
Quiz 4.1-4.5
Chapter 4 Test
Chapter 5 Test
Quiz 9.1 to 9.4
Semester Final Exam - Chapters 1 - 5 and 9.1-9.4
Semester Two:
Standards:
6.11.01
6.11.02
6.11.04
6.11.05
6.11.06
6.11.07
6.11.08
6.11.09
6.11.10
6.11.13
6.11.14
6.11.15
6.11.16
6.11.17
6.11.18
6.11.19
7.11.01
7.11.04
7.11.07
8.11.01
8.11.02
8.11.06
10.11.03
Essential Questions:
Chapter 6
What is FOIL and how does FOIL work?
What are the rules for exponents?
Why do we use scientific notation?
Chapter 7
How do we apply factoring as the opposite of multiplication?
How do we use the Zero Product property to solve quadratic equations?
Chapter 10
How does slope relate to the equation of a line?
How do you recognize an intercept visually and algebraically?
Chapter 11
How does a graph of two linear equations represent a solution to a system of equations?
What are the two methods of solving systems of equations algebraically?
Chapter 12
What is a radical?
How do you add, subtract, and multiply radicals?
Chapter 13
What is the relationship between "X squared" and the "square root of x"?
Content:
Chapter 6
Operations with Polynomials
Chapter 7
Factoring
Chapter 10
Graphing Linear Equations
Chapter 11
Systems of Open Sentences
Chapter 12
Radical Expressions
Chapter 13
Quadratic Formula
Skills:
Chapter 6 Skills
Arrange the terms of a polynomial in order
Multiplying/Dividing monomials
Express numbers in scientific and decimal notation
Find the degree of a polynomial
Add and subtract polynomials
Products and quotients of polynomials
Chapter 7 Skills
Find the prime factorization of an integer
Find a Greatest Common Factor (GCF) for a set of monomials
Use the GCF and the Distributive Property to factor polynomials
Use grouping techniques to factor polynomials
Factor quadratic trinomials
Factor and identify special forms of polynomials
Use Zero Product Property to solve quadratic equations
Chapter 10 Skills
Find the slope of a line given two points
Write an equation of a line in standard form given
the coordinates of a point and the slope
two points
Write an equation of a line in slope-intercept given
the slope and y-intercept
the slope and the coordinates of a line
two points on the line
Determine the slope and y-intercept of a graph of a line
Determine x and y intercepts of a graph of a line
Determine slopes of parallel lines
Chapter 11 Skills
Solve systems of equations by
Graphing
Substitution
Elimination
Chapter 12 Skills
Simplify rational square roots
Find approximate values for square roots
Use the Pythagorean Theorem
Identify rational/irrational numbers
Simplify square roots
Simplify radical expressions involving addition and subtraction
Chapter 13
Solve quadratic equations using the Quadratic Formula
Assessment:
Quiz 6.1-6.4
Chapter 6 Test
Quiz 7.1 to 7.3
Quiz 7.3 to 7.8
Chapter 7 Test
Quiz 10.1 to 10.2
Chapter 10 Test
Chapter 11 Test
Quiz 12.2 to 12.4
Chapter 12 Test
Quiz on Quadratic formula
Semester Exam - Chapters 6 through 13