CURRICULUM MAP: 19038.map
Algebra I (ACP) 401
TIME FRAME:
GRADE: 9
CONTACT:
MAP LEVEL:
25.1 MATHEMATICS - ALG REASONING: PATTERNS & FUNCTS
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25.2 MATHEMATICS - NUMERICAL & PROP REASONING
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1. How can students progress, develop, and advance arithmetic computations to the abstraction of arbitrary values (e.g., variables)?
2. How can students use functional relationships to successfully represent and analyze patterns?
3. How can students express quantitative relationships to make application-based connections and, ultimately, simplify calculations?
Review of Pre-Algebra Essential Standards
Integers and Rational Numbers
Linear Equations
Inequalities and Absolute Value
Exponents and Polynomials
Polynomials and Factoring
Graphs and Linear Equations
Systems of Equations
Graphing Systems of Linear Inequalities
Rational Expressions and Equations
Radical Expressions and Equations
Relations and Functions
Quadratic Equations
Students will be able to:
Identify and operate on integers and rational numbers and operate on those
Define absolute value
Write, simplify, and evaluate expressions
Use the real number properties and phrases to create equations
Solve multi-step linear equations including those with fractions, decimals, parentheses, and variables on both sides
Solve absolute value equations
Solve proportions
Create, solve and graph multi-step linear inequalities including those with parentheses and variables on both sides
Write multiplications using exponential notation
Use laws of exponents to simplify algebraic expressions
Define a polynomial
Name polynomials by type
Find the degree of a polynomial
Evaluate polynomials
Complete all operations with polynomials
Convert between standard and scientific notation
Factor monomials
Factor polynomials including difference of 2 squares, trinomial squares,
ax^2+bx+c form, and those requiring grouping
Solve equations by factoring
Solve application problems using factoring
Graph ordered pairs
Graph linear equations by ordered pairs, intercepts, slope and y-intercept
Find slope of a line
Identify horizontal and vertical lines
Write a linear equation in slope/intercept form
Write an equation in point/slope form
Find line of best fit
Solve application problems using linear equations
Identify and create parallel and perpendicular lines
Solve systems of linear equations by graphing, substitution, and elimination
Identify independent, dependent, and consistent systems
Use systems to solve motion and coin problems
Graph systems of inequalities and identify the solution region
Define rational expressions
Simplify rational expressions
Operate with rational expresions
Solve equations with rational expressions
Divide polynomials
Simplify complex rational expressions
Define and identify irrational numbers
Define the real number set
Define radicals
Evaluate square roots
Simplify radical expressions
Operate on radical expressions
Solve radical equations
Define realtions and functions
Define and identify domain and range
Use function notation
Evaluate functions
Identify functions from graphs
Graph functions of the types linear, quadratic, absolute value, rational, radical, and exponential
Define and create linear functions
Identify vertex and axis of symmetry for a quadratic function
Identify and solve using direct, inverse, combined and joint variation
Solve quadratic equations by completing the square
Use the quadratic formula
1. Frequent practice of CAPT, or CAPT-like, questions.
2. Calculator usage, when appropriate.
Students will be assessed by:
1. Daily homework assignments which will acount for 10% of their final grade
2. Quizzes, approximately two per week
3. Unit tests comprised of 25-30% application and 70-75% computation
4. Final exam that covers an entire semester's material, which will account for 20% of their final grade
1. Textbook - Prentice Hall Algebra I (2001 edition)
2. Text supplemental materials
3. "Making Practice Fun" Activity Workbooks
4. Activity Resource Books
5. Calculators