Algebra 1 2009 Core Map Year-At-A-Glance

September
• Define rational and irrational numbers.
• Classify numbers, pi, and nonperfect square numbers as rational or irrational.
• Find approximate locations of rational and irrational numbers on a number line
• Simplify rational and irrational expressions using operations and properties
• Simplify, add, subtract, multiply, and divide expressions with square roots
• Simplify and evaluate polynomial expressions by distributing, combining like terms, etc.

October
• Compute solutions to problems, represent answers in exact form, and determine the reasonableness of answers.
• Simplify the quotient of monomials using positive exponents
• Write algebraic expressions or equations and inequalities
• Solve single-variable linear equations and inequalities algebraically and graphically.
• Solve multi-step one variable equations algebraically and graphically
• Solve and graph multi-step one variable inequalities
• Write equations to represent linear data and models

November
• Solve proportions that include algebraic 1st degree expressions
• Solve real world problems involving rates of change
• Interpret the slope of a linear function as a rate of change in real-world situations.
• Identify slope from ordered pairs, graphs, and equations
• Identify horizontal and vertical lines from equations
• Determine and explain the meaning of slopes and intercepts
using real-world examples.

December
• Identify the x- and y-intercepts from an equation or graph of a line or a table of values.
• Graph linear functions and inequalities using intercepts, tables, slope-intercept, and slope and one point on a line
• Write equations in slopeintercept form
• Explore effects of changing m and b

January
• Write the equation of a line given the graph, two points, or the slope and point on the line
• Write linear equations in standard form
• Explore line of best fit
• Estimate the equation of a line of best fit to make and test conjectures
• Interpret the slope and yintercept of a line through data
• Predict y-values for given xvalues when appropriate using a line fitted to data.

February
• Solve equations for a specified variable (literal equations)
• Graph linear inequalities
• Collect, record, organize and display a set of data with at least two variables
• Determine whether a relationship is linear or non-linear by examining a table, equation, graph, or scatter plot.
• Characterize relationships as either positive, negative, or no correlation.
• Apply Pythagorean Theorem

March
• Solve systems of linear equations graphically, algebraically, and by using technology.
• Determine the number of possible solutions of systems of two equations.
• Graph a system of linear inequalities and identify the solution
• Multiply binomials by FOILing
• Find the greatest common monomial factor of a polynomial.

April
• Factor trinomials with integer coefficients of the formx2 + bx + c
• Factor the difference of two squares and perfect square trinomials
• Solve quadratic equations that can be simplified to the form x2 = a where a ≥ 0 by taking square roots
• Solve quadratic equations using factoring
• Write a quadratic equation when given the solutions.

May
• Review for and take CRT
• Review year’s objectives