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Greater Nanticoke Area School District
Algebra I
Standard 2.1: Number Systems and Number Relationships
CS 2.1.11A. Perform operations with numbers and polynomials to solve problems.
1. Use additive inverses (opposite).
A. Find the additive inverse of a number.
B. Identify the additive identity.
C. Use additive inverse and additive identity to simplify expressions.
D. Use additive inverse and additive identity to solve linear equations.
2. Use multiplicative inverse (reciprocal)
A. Find multiplicative inverse of a number
B. Identify multiplicative identity.
C. Use the multiplicative property of 0.
D. Use multiplicative inverse to simplify expressions.
E. Use multiplicative inverse to solve linear equations.
3. Apply the properties of real numbers in problem solving.
A. Use the order of operations.
B. Use the communicative property of addition and multiplication.
C. Use the associative property of addition and multiplication.
D. Use the distributive property.
4. Evaluate expressions containing absolute value.
A. Find absolute value of a number.
B. Simplify absolute value expressions.
C. Solve absolute value equations.
5. Perform operations with polynomials.
A. Add and subtract polynomials.
B. Multiply and divide polynomials by a monomial divisor.
C. Multiply and divide polynomials by binomial divisors.
D. Factor polynomials:
• Find greatest common factor
• Factor trinomials
• Factor sum and difference of two cubes.
• Factor by grouping.
6. Evaluate expressions containing radicals.
A. Find square roots of an algebraic expression.
B. Solve problems with radical equations
C. Estimate square root of positive integers.
D. Find the square root of an algebraic expression.
7. Apply the laws of exponents.
A. Find the square of an integer.
B. Raise real numbers to integral powers.
E. Simplify algebraic expressions containing exponents.
Algebra 1 Standards
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Standard 2: Computation and Estimation
CS 2.2.11A. Develop and use computation concepts, operations and procedures.
10. Add, subtract, multiply, and divide real numbers.
CS 2.2.11B. Use estimation to solve problems.
11. Create a mental model to predict a possible answer.
12. Use computation to validate the estimate.
CS 2.2.11C. Construct and apply math models using estimation.
13. Interpret data and make predictions from graphs involving straight lines.
CS 2.2.11D. Describe and explain the amount of error in a given computation.
17. Compare estimates to actual answers
CS 2.2.11E. Recognize that precision in a calculation depends on how results will be
used.
18. Analyze situations to determine whether high or low degrees of accuracy or
measurement are needed.
CS 2.2.11F. Apply technology tools in computation, estimation and problem solving.
19. Use calculator to do arithmetic calculations.
20. Use scientific calculators to do algebraic calculations.
23. Use computer and software tools to create spreadsheets and databases.
25. Use appropriate formulas and other tools to calculate area, volume, and
distance.
26. Use compass, protractor and ruler to measure segments, angles and area
Standard 2.4: Mathematical Reasoning and Connections
CS 2.4.11C. Determine the validity of an argument.
42. Determine if a solution is correct.
CS 2.4.11E. Demonstrate mathematical solutions to problems across the
curriculum.
54. Use algebraic formulas that apply to other disciplines.
Standard 2.5 Mathematical Problem Solving and Communication
CS 2.5.11A. Solve non-routine and multi-step problems.
57. Apply basic rules of real numbers in problem solving.
58. Select and justify appropriate methods needed in solving multi-step problems.
CS 2.5.11B. Use representations to communicate mathematically (see appendix).
Algebra 1 Standards
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59. Translate words to symbols and symbols to words.
60. Use appropriate mathematical terminology.
61. Use appropriate mathematical rules.
62. Interpret and explain data from a table or graph.
CS 2.5.11C. Present procedures with precision in problem solving
63. Develop a written and oral justification that presents results clearly,
systematically and succinctly.
CS 5.11D. Summarize and evaluate results to problem solutions
64. Write and describe a summary of results to determine validity.
Standard 2.6 Statistics and Data Analysis
CS 6.11F. Determine degree of dependence of two quantities specified by a two -way
table.
81. Construct a two-way table using and applying a formula.
Standard 2.8: Algebra and Functions
CS 2.8.11A. Analyze and represent data.
98. Represent a pattern algebraically by using a rule or function.
99. Represent a pattern graphically determining slope.
A. Plot points on a number line
B. Plot points on a coordinate plane
C. Determine slope
CS 2.8.11C. Solve problems with patterns, sequence and series.
101. Recognize and distinguish arithmetic and geometric sequence.
102. Identify next terms in number sequences.
103. Formulate expressions to solve a problem.
104. Formulate equations to solve a problem.
105. Formulate inequalities to solve a problem.
CS 2.8.11D. Model routine and non-routine problem situations.
106. Use geometric patterns to model a problem.
107. Use number sequences to model a problem.
108. Use a series notation to model a problem.
109. Use equations and inequalities to model a problem.
CS 2.8.11G. Solve and explain systems of equations and inequalities.
118. Use graphic method.
119. Use substitution method.
120. Use the elimination method.
Algebra 1 Standards
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CS 8.11J. Demonstrate the connection between the algebra and geometry in the
coordinate plane.
131. Graph algebraic equations.
132. Graph algebraic inequalities.
133. Determine if two lines are parallel, perpendicular or neither.
CS 2.8.11K. Select, justify and apply an appropriate technique to graph a linear
function in two variables.
134. Use slope intercept form to graph.
135. Use the X and Y intercept to graph.
CS 2.8.11L. Write the equation of a line.
138. Given the graph of a line.
139. Given two points on the line.
140. Given the slope of the line and point on the line.
CS 2.8.110. Determine the domain and range of a relation.
145. Given the graph of the relation.
146. Given a set of ordered pairs.
CS 2.8.11Q. Represent functional relationships.
149. Using tables.
150. Using charts.
151. Using graphs.
CS 2.8.11R. Create and interpret functional models.
152. Describe graphically, algebraically and verbally real word phenomena as
functions.
153. Identify the independent and dependent variables.
CS 2.8.11S. Recognize and identify the properties and relationships of functions.
154. Linear functions.
.
CS 2.8.11T. Analyze and categorize functions using properties.
162. Linear.
Standard 2.10 Trigonometry
CS 2.10.11A Identify, create and solve practical problems involving triangles
224. Use the Pythagorean Theorem to solve problems involving right triangles
Algebra 1 Standards
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