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EAST LONGMEADOW PUBLIC SCHOOLS |
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2006 - 2007 DISTRICT CURRICULUM GUIDES |
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Mathematics - Grade 8 Algebra 1 |
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Absolute Value: Solve/Linear/Apply
The learner will be able to
obtain solutions to equations and inequalities of absolute value of linear expressions and apply them to problem solutions.
| Strand |
Scope |
Source |
| Absolute Value |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.10 |
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Expressions: Simplify/Numeric/Solve
The learner will be able to
simplify numeric expressions, including expressions containing positive integer exponents or absolute value, and obtain problem solutions by applying these simplifications.
| Strand |
Scope |
Source |
| Simplify Expressions |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.N.2 |
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Polynomials: Manipulation
The learner will be able to
illustrate facility in symbolic manipulation of polynomial and rational expressions by rearranging and collecting terms, factoring, recognizing and canceling common factors in rational expressions, and using the properties of positive integer exponents.
| Strand |
Scope |
Source |
| Polynomials |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.8 |
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Quadratic Equations: Solve/Techniques
The learner will be able to
obtain solutions to quadratic equations with real number solutions by factoring, completing the square, or applying the quadratic formula; and illustrate an understanding of the similarities between these techniques.
| Strand |
Scope |
Source |
| Quadratic Equations/Formula |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.9 |
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Properties: Recognize/Use
The learner will be able to
recognize and apply the properties of operations on the real numbers, including the associative, commutative, and distributive properties; the existence of the identity and inverse elements for addition and multiplication; the existence of nth roots of positive real numbers for any positive integer n; the inverse relationship between nth power and nth root of a positive real number; and the denseness of the set of rational numbers in the set of the real numbers.
| Strand |
Scope |
Source |
| Operations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.N.1 |
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Systems of Equations: Solve/Inequalities
The learner will be able to
obtain solutions to real world problems (including mixture, rate, and work problems) by applying systems of linear equations or inequalities, using algebraic and graphical techniques.
| Strand |
Scope |
Source |
| Systems of Equations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.12 |
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Equations: Algebraic/Solve
The learner will be able to
obtain solutions to algebraic equations.
| Strand |
Scope |
Source |
| Solve Equations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.10 |
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Equations: Problem Solving
The learner will be able to
apply equations in obtaining problem solutions.
| Strand |
Scope |
Source |
| Solve Equations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.10 |
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Inequalities: Solve
The learner will be able to
solve inequalities.
| Strand |
Scope |
Source |
| Inequalities |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.10 |
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Polynomials: Subtracting
The learner will be able to
subtract polynomials.
| Strand |
Scope |
Source |
| Polynomials |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.7 |
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Polynomials: Add
The learner will be able to
add polynomials.
| Strand |
Scope |
Source |
| Polynomials |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.7 |
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Polynomials: Multiply
The learner will be able to
multiply polynomials.
| Strand |
Scope |
Source |
| Polynomials |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.7 |
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Polynomials: Divide by Monomial
The learner will be able to
divide a polynomial by a monomial.
| Strand |
Scope |
Source |
| Polynomials |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.7 |
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Radicals: Determine/Estimate/Solution
The learner will be able to
determine the estimated value for the solution to problems involving square roots and cube roots, without the use of a calculator.
| Strand |
Scope |
Source |
| Radicals |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.N.3 |
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Equality/Inequality: Solving
The learner will be able to
use inequalities to solve problems.
| Strand |
Scope |
Source |
| Inequalities |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.10 |
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Equality/Inequality: Apply/Real Number
The learner will be able to
apply the properties of the real number system to evaluate the validity of equations and inequalities.
| Strand |
Scope |
Source |
| Equality/Inequality |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.2 |
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Functions/Relations: Representations
The learner will be able to
translate between the different representations (graphs, equations, point sets, and tabular) of functions and relations.
| Strand |
Scope |
Source |
| Functions/Relations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.4 |
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Relations: Comprehend
The learner will be able to
comprehend relations.
| Strand |
Scope |
Source |
| Relations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.3 |
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Functions: Recognize/Domain
The learner will be able to
recognize the domain of a given function.
| Strand |
Scope |
Source |
| Functions |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.3 |
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Functions: Recognize/Range
The learner will be able to
recognize the range of a given function.
| Strand |
Scope |
Source |
| Functions |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.3 |
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Functions: Recognize/Variables
The learner will be able to
recognize the dependent and independent variables of a given function.
| Strand |
Scope |
Source |
| Functions |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.3 |
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Functions: Understand
The learner will be able to
understand functions.
| Strand |
Scope |
Source |
| Functions |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.3 |
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Functions: Solve/Real-World
The learner will be able to
use linear functions in order to obtain solutions to real-world problems.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.11 |
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Functions: Solve/Real-World
The learner will be able to
use exponential functions in order to obtain solutions to real-world problems.
| Strand |
Scope |
Source |
| Exponential Functions |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.11 |
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Functions: Solve/Real-World
The learner will be able to
use quadratic functions in order to obtain solutions to real-world problems.
| Strand |
Scope |
Source |
| Absolute Value/Quadratic Functions |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.11 |
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Functions: Solve/Real World
The learner will be able to
use reciprocal functions in order to obtain solutions to real world problems.
| Strand |
Scope |
Source |
| Problem Solving |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.11 |
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Arguments: Apply/Real Number Properties
The learner will be able to
apply the properties of the real number system to justify each step in a sequential argument.
| Strand |
Scope |
Source |
| Conjecture/Argument |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.2 |
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Patterns: Linear/Quadratic/Exponential
The learner will be able to
explain, complete, continue, examine, generalize, and construct a wide variety of patterns, including iterative, recursive, linear, quadratic, and exponential relationships.
| Strand |
Scope |
Source |
| Patterns |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.1 |
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Direct Variation: Apply/Problem Solve
The learner will be able to
apply direct variation to obtain solutions to real world problems.
| Strand |
Scope |
Source |
| Variations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.11 |
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Inverse Variation: Apply/Problem Solve
The learner will be able to
apply inverse variation to obtain solutions to real world problems.
| Strand |
Scope |
Source |
| Variations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.11 |
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Perspective/Role in Society
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Interest: Apply/Compound/Real World
The learner will be able to
apply compound interest to obtain solutions to real world problems.
| Strand |
Scope |
Source |
| Loans/Credit |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.11 |
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Data Analysis: Choose/Create/Interpret
The learner will be able to
choose, create, and interpret a suitable graphical display for data sets and apply suitable statistics to communicate information about the data, applying these concepts in comparing different data sets.
| Strand |
Scope |
Source |
| Data Analysis |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.D.1 |
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Data: Estimate/Line of Best Fit
The learner will be able to
estimate a line of best fit for a given set of data.
| Strand |
Scope |
Source |
| Data |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.D.2 |
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Sampling: Explain/Size/Validity/Predict
The learner will be able to
explain how the relative sizes of a sample and the population affect the validity of predictions made based on a data set.
| Strand |
Scope |
Source |
| Sampling |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.D.3 |
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Real Numbers and the Coordinate Plane
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Slope: Describe/Significance
The learner will be able to
describe the significance of a positive, negative, zero, or undefined slope.
| Strand |
Scope |
Source |
| Slope |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.5 |
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Slope: Determine From Graph
The learner will be able to
use the graph of a linear equation to determine the slope.
| Strand |
Scope |
Source |
| Slope |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.5 |
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Linear Equations: Graph
The learner will be able to
find the equation of a line when given its graph.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.5 |
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Linear Equations: Understand/Forms
The learner will be able to
illustrate an understanding of the relationships between the various presentation forms of lines.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.5 |
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Linear Equations: Intercepts
The learner will be able to
find the intercepts of a linear equation.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.5 |
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Linear Equations: Slope
The learner will be able to
find the slope of a linear equation.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.5 |
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Linear Equations: Geometric Explanation
The learner will be able to
determine the linear equation when presented with a geometric description of the line.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.5 |
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Linear Equations: Determine/Equation
The learner will be able to
determine the equation of the line through a point that is either perpendicular or parallel to a particular line.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.6 |
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Linear Equations: X-/Y-Intercepts
The learner will be able to
find the x- and y-intercepts of a line when given the graph of a linear relationship.
| Strand |
Scope |
Source |
| Linear Equations |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.5 |
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Real Numbers: Approximate/Computation
The learner will be able to
judge the reasonableness of computation results involving real numbers using approximations.
| Strand |
Scope |
Source |
| Real Numbers |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.N.4 |
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Real Numbers: Approximate/Solutions
The learner will be able to
judge the reasonableness of problem solutions involving real numbers using approximations.
| Strand |
Scope |
Source |
| Real Numbers |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.N.4 |
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Real Number Properties: Apply/Proofs
The learner will be able to
apply the properties of the real number system to prove or contradict statements.
| Strand |
Scope |
Source |
| Real Number Properties |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.2 |
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Technology as a Tool: Suitable
The learner will be able to
apply technology as appropriate.
| Strand |
Scope |
Source |
| Technology as a Tool |
Master |
MA: Curriculum Framework, 2000, Algebra I, AI.P.11, AI.P.12, AI.D.2.; MA: Curriculum Framework, 2000, Grade 8, 8.P.9, 8.M.2, 8.M.3 |
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