Algebra 1 Seamless Curriculum Guide
QUALITY STANDARD #1: REAL NUMBERS AND THEIR PROPERTIES
Benchmark(s):
1.1 The student will understand the properties of real numbers.
Indicators:
o Identify the subsets of real numbers
o Addition- commutative, associative, identity, inverse
o Multiplication - commutative, associative, identity, property of zero, inverse
o Distributive Property
o Identify and apply properties
1.2 The student will understand the basic laws of exponents.
Indicators:
o an X am = an+m
o an / am = an-m
o (an)m = anm
o a0 = 1 , for a not equal to zero
o a1 = a
o Perform operations with scientific notation
o Perform basic operations with exponents
1.3 The student will understand how to simplify and evaluate expressions.
Indicators:
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Identify and perform operations on integers and rational numbers
Substitute in for a variable and evaluate the expressions
Write expressions in simplified form
Combine like terms to simplify an expression
Express radicals in simplified form
Simplify numerical absolute values
Order of operations (PEMDAS)
Write a variable expression given a verbal or written phrase and vice versa
Vocabulary: commutative, associative, distributive, inverse, identity, like terms, variable,
numerical expression, algebraic expression, PEMDAS, radical, exponent, coefficient, evaluate,
natural number, whole number, integer, rational number, irrational number, real number,
equation, power, base, square root, term
Unit 1 Suggested Timeline: 25 days
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Algebra 1 Seamless Curriculum Guide
QUALITY STANDARD #2: SOLVING EQUATIONS AND INEQUALITIES
Benchmark(s):
2.1 The student will understand how to solve equations.
Indicators:
o 1- step equations
o 2- step equations
o Multi-step equations
o Equations with variables on both sides
o Solve equation for a given variable
o Understand there will be a unique solution
o Write and solve equations from verbal or written directions
2.2 The student will understand how to solve inequalities.
Indicators:
o Know the properties of greater than and less than
o 1- step inequalities
o 2- step inequalities
o Multi-step inequalities
o Graph solutions on a number line
o Inequality rules for multiplying and dividing by a negative number
o Recognize the similarities and differences between solving equations and inequalities
o Write and solve inequalities from verbal or written directions
2.3 The student will understand how to evaluate formulas.
Indicators:
o Be able to evaluate a multi-variable expression
o Select, manipulate, and use an appropriate formula for problem solving
o Solve formulas for a given variable
o Write and solve an equation based on a real life model (ratio, proportion, percent,
integers, distance, mixture, and work problems)
Vocabulary:
inequality, formula, <, >, number line, reciprocal, solution, simplest form, addition
property of equality, multiplication property of equality, solution set
Unit 2 Suggested Timeline: 20 days
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Algebra 1 Seamless Curriculum Guide
QUALITY STANDARD #3: LINEAR EQUATIONS AND INEQUALITIES
Benchmark(s):
3.1 The student will understand how to work in the coordinate plane.
Indicators:
o Plot points
o Identify coordinates
o Correctly label points
o Identify the axes and quadrants, label appropriately
3.2 The student will understand how to graph linear equations and inequalities
Indicators:
o Find slope as rise over run
o Find slope given 2 points
o Find the x- and y-intercept
o Find slope looking at a graph of a line
o Identify positive, negative, zero, and undefined slope
o Understand the relationship of parallel and perpendicular lines and their slopes
o Graph horizontal and vertical lines
o Graph a line given the y-intercept and slope
o Graph a line using a table of values
o Graph a line using the intercept-intercept method
o Graph a line using the point-slope method
o From observation identify the slope and y-intercept given a linear graph
o Discuss slope as a rate of change
o Differentiate when a solid or dotted line is needed for an inequality
o Shading on a linear inequality
3.3 The student will understand how to find and write the equation of a line.
Indicators:
o Standard form of a linear equation
o Slope intercept form
o Point slope form
o Given a graph of a line
o Given the slope and y-intercept
o Given the slope and a point
o Given 2 points
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Algebra 1 Seamless Curriculum Guide
Vocabulary: ordered pair, x-axis, y-axis, quadrant, x-intercept, y-intercept, slope, rate of change, table
of values, horizontal line, vertical line, standard form, slope intercept form, point slope form,
perpendicular, parallel, coordinate plane, origin, rise, run, undefined slope, zero slope
Unit 3 Suggested Timeline: 30 days
QUALITY STANDARD #4: Polynomials
Benchmark(s):
4.1 The student will understand polynomials and perform operations with them.
Indicators:
o Find the degree of a polynomial
o Classify polynomials by their terms and degree
o Add and subtract polynomials
o Multiply polynomials using the distributive property and the FOIL process
o Arrange a polynomial in ascending or descending order
o Factoring polynomials
 Factor out common factor
 Difference of two squares
 Perfect trinomial squares
 Factor trinomials that have 1 as a leading coefficient
 Factor trinomials with a leading coefficient other than 1
4.2 The student will understand how to solve quadratic equations.
Indicators:
o Solve by factoring and using zero product property
o Solve by the quadratic formula
o Represent real world problems in quadratic form and solve
Vocabulary: monomial, binomial, trinomial, difference of squares, FOIL, linear, constant, quadratic,
cubic, quartic, polynomial, perfect trinomial square, degree, factor, square root, leading coefficient,
linear term, quadratic equation, ascending/descending, zero, root
Unit 4 Suggested Timeline: 40 days
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Algebra 1 Seamless Curriculum Guide
QUALITY STANDARD #5: SYSTEMS OF EQUATIONS AND INEQUALITIES
Benchmark(s):
5.1 The student will understand different methods of solving linear systems of equations.
Indicators:
o Solve by graphing
o Solve by substitution
o Solve by elimination
o Recognize when there will be zero, one, or infinite solutions
5.2 The students will understand how to solve systems of linear inequalities.
Indicators:
o Solve by graphing
o Use dotted and solid lines correctly
o Use shading appropriately to identify solution set
Vocabulary: System of equations, coinciding lines, empty set, null set, infinite, elimination
Unit 5 Suggested Timeline: 15 days
QUALITY STANDARD #6: Functions
Benchmark(s):
6.1 The student will understand the language and notation of function.
Indicators:
o Definition of relation
o Definition of function
o Domain, x value, input
o Range, y value, output
o Evaluate a function given a rule and a replacement set
Vocabulary: relation, function, domain, range, f(x), input, output
Unit 6 Suggested Timeline: 10 days
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Algebra 1 Seamless Curriculum Guide
Nice to Know:
o Elementary Probability and Statistics
o Graphing quadratics
o Line of best fit
o Absolute value equations
o Writing equations of parallel and perpendicular lines
o Operations with radicals
o Systems of inequalities
o Differentiate between a relation and a function
o Know that y is equivalent to f(x) when graphing
o Identify a function using a table of values
o Vertical line test
o System of equations/inequalities
 Consistent
 Inconsistent
 Dependent
 Feasibility region
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