mvsd
Math Curriculum 01/12/03

Mathematics - Algebra I

Mathematics

The Idaho State Achievement Standards for Mathematics provides skills for kindergarten through twelfth grade.

Algebra I

The Idaho State Achievement Standards for Mathematics lists learning goals for students in grades 9-12.


Algebraic Concepts
The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. This unit includes studying number systems, operations, and forms. Students explore the symbolic nature of algebraic concepts by identifying and extending patterns in algebra, by following algebraic procedures, and by proving theorems with properties.

    Properties: Real Numbers
The learner will be able to identify and use properties of real numbers.
Strand Bloom's Scope Hours Source
Properties Master ID: State Achievement Standards, 2001, Grades 9-12, 350.01
  
    Algebraic Concepts: Simplify/Fractions
The learner will be able to simplify basic algebraic fractions.
Strand Bloom's Scope Hours Source
Algebraic Concepts Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 347.01.a; ISAT
  
    Equations: Translate/Words
The learner will be able to translate word expressions into algebraic equations.
Strand Bloom's Scope Hours Source
Equations Synthesis Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.01.a; ISAT
  
    Exponents: Laws of Exponents/Simplify
The learner will be able to apply the laws of exponents to simplify expressions containing integer exponents.
Strand Bloom's Scope Hours Source
Exponents Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 347.01.c
  
    Expressions: Evaluate/Basic
The learner will be able to evaluate basic algebraic expressions.
Strand Bloom's Scope Hours Source
Expressions Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.02.a
  
    Expressions: Translate
The learner will be able to translate word expressions into algebraic expressions.
Strand Bloom's Scope Hours Source
Expressions Synthesis Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.02.a
  
    Factoring: Basic/Quadratic Expressions
The learner will be able to factor basic quadratic expressions.
Strand Bloom's Scope Hours Source
Factoring Application Master 1.0 District Expectation
  
    Formulas: Evaluate/Basic
The learner will be able to evaluate basic formulas.
Strand Bloom's Scope Hours Source
Formulas Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.a
  
    Inequalities: Graph/Solution/Number Line
The learner will be able to graph, on a number line, the solutions to an inequality.
Strand Bloom's Scope Hours Source
Inequalities Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.a
  
    Inequalities: Solve/Basic/One Variable
The learner will be able to obtain solutions to basic inequalities involving one variable.
Strand Bloom's Scope Hours Source
Inequalities Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 350.03 b
  
    Inequalities: Solve
The learner will be able to obtain solutions to inequalities with one variable.
Strand Bloom's Scope Hours Source
Inequalities Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.01.a
  
    Linear Equations: Graph
The learner will be able to graph linear equations with two variables given suitable information.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.04.a
  
    Linear Equations: Graph/Two-Variables
The learner will be able to graph a linear equation in two variables.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.04.a
  
    Linear Equations: Slope/Intercept
The learner will be able to recognize the slope and/or intercepts of a linear equation.
Strand Bloom's Scope Hours Source
Linear Equations Knowledge Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 350.04.a
  
    Linear Equations: Solving
The learner will be able to obtain solutions to linear equations employing a variety of methods.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 2.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.04.a
  
    Linear Equations: Write
The learner will be able to write the equation of a line when presented with suitable information.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.a
  
    Linear Inequalities: Problem Solving
The learner will be able to solve problems by solving linear inequalities.
Strand Bloom's Scope Hours Source
Linear Inequalities Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.a
  
    Linear System of Equations: Apply
The learner will be able to apply a system of linear equations to obtain problem solutions.
Strand Bloom's Scope Hours Source
Linear Systems of Inequalities Application Master 2.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.04.a
  
    Linear System of Equations: Solve
The learner will be able to obtain solutions to a system of linear equations through a variety of techniques.
Strand Bloom's Scope Hours Source
Linear Systems of Inequalities Application Master 2.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.04.a
  
    Linear System of Equations: Solve/Graph
The learner will be able to solve a system of linear equations by graphing.
Strand Bloom's Scope Hours Source
Linear Systems of Inequalities Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.04.a
  
    Polynomials: Add/Subtract/Multiply
The learner will be able to perform addition, subtraction, and multiplication of polynomials.
Strand Bloom's Scope Hours Source
Polynomials Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.b
  
    Polynomials: Determine/Coefficients
The learner will be able to determine the leading coefficient, constant term, and total number of terms in a polynomial.
Strand Bloom's Scope Hours Source
Polynomials Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.b
  
    Polynomials: Determine/Degree
The learner will be able to determine the degree of polynomials.
Strand Bloom's Scope Hours Source
Polynomials Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.b
  
    Polynomials: Divide by Monomial
The learner will be able to divide a polynomial by a monomial.
Strand Bloom's Scope Hours Source
Polynomials Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.b
  
    Polynomials: Find/Monomial Factor
The learner will be able to find monomial factors in polynomials.
Strand Bloom's Scope Hours Source
Polynomials Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.b
  
    Polynomials: Recognizing Expressions
The learner will be able to recognize polynomial expressions.
Strand Bloom's Scope Hours Source
Polynomials Knowledge Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.b
  
    Radicals: Equations/Basic/Solve Problems
The learner will be able to obtain solutions to problem involving basic radical equations.
Strand Bloom's Scope Hours Source
Radicals Application Master 1.0 ISAT
  
    Simplify Expressions: Algebraic
The learner will be able to simplify algebraic expressions.
Strand Bloom's Scope Hours Source
Simplify Expressions Application Master 0.5 ISAT
  
    Simplify Expressions: Numeric
The learner will be able to simplify numeric expressions by using the order of operations.
Strand Bloom's Scope Hours Source
Simplify Expressions Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 347.02a
  
    Basic Operations: Integers/Fractions
The learner will be able to use combinations of the four basic operations with integers, fractions, and decimals to solve problems.
Strand Bloom's Scope Hours Source
Basic Operations Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 347.01.a
  
    Quadratic Equations: Factor
The learner will be able to factor quadratic equations.
Strand Bloom's Scope Hours Source
Quadratic Equations/Formula Application Master 1.5 District Expectation
  

Functions
The Functions Unit includes exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions.

    Functions/Relations: Differentiate
The learner will be able to differentiate between functions and relations.
Strand Bloom's Scope Hours Source
Functions/Relations Analysis Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 353.01.a
  
    Functions/Relations: Problem Solving
The learner will be able to apply relations and functions to obtain solutions to problems.
Strand Bloom's Scope Hours Source
Functions/Relations Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.01.a 353.03.a
  
    Graphing: Domain/Range
The learner will be able to identify the domain and range of a given function or relation.
Strand Bloom's Scope Hours Source
Graphing Functions Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 353.02.a
  

Geometry
The Geometry Unit includes Competencies/Objectives which focus on exploring geometric concepts from multiple perspectives. The Geometry Unit includes properties and construction of figures, proofs and theorems, history of geometry, transformations, logic, and problem solving.

    Points: Identify
The learner will be able to identify the coordinates of a point in a plane.
Strand Bloom's Scope Hours Source
Planes/Points/Lines Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.03a
  
    Pythagorean Theorem: Use/Converse/Solve
The learner will be able to apply the Pythagorean Theorem and its converse in problem solving scenarios.
Strand Bloom's Scope Hours Source
Pythagorean Theorem Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.02.c
  

Mathematics Processes
The Mathematics Processes Unit focuses on mathematical connections, communication, modeling, concepts and procedures.

    Communication: Ideas
The learner will be able to ask questions and express mathematical concepts clearly through the use of language and/or symbolism.
Strand Bloom's Scope Hours Source
Communication Master District Expectation
  
    Mathematical Concepts: Form/Express
The learner will be able to develop and express mathematical definitions and/or generalizations derived through explorations.
Strand Bloom's Scope Hours Source
Mathematical Concepts Master District Expectation
  
    Mathematical Concepts: Relationships
The learner will be able to ponder and/or clarify mathematical concepts and relationships.
Strand Bloom's Scope Hours Source
Mathematical Concepts Master District Expectation
  
    Learning: Interpret/Written/Illustration
The learner will be able to interpret a mathematical illustrations and illustrate written mathematical concepts.
Strand Bloom's Scope Hours Source
Learning Mathematics Analysis Master 1.5 District Expectation
  

Number Theory
The Number Theory Unit focuses on manipulating number forms and classifications. Students make connections between number forms and their real-world applications.

    Square Roots: Operations
The learner will be able to add, subtract, multiply, and divide with square roots and exponents.
Strand Bloom's Scope Hours Source
Roots/Radicals Master ID: State Achievement Standards, 2001, Grades 9-12, 347.01.c
  
    Ratios and Proportions: Problem Solve
The learner will be able to solve problems involving ratios and proportions.
Strand Bloom's Scope Hours Source
Ratio/Proportion Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 349.03.a
  
    Logarithms: Comprehend/Properties
The learner will be able to comprehend properties of logarithms.
Strand Bloom's Scope Hours Source
Logarithms Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 347.01.c
  
    Number Forms: Represent/Scientific
The learner will be able to illustrate numbers in scientific notation.
Strand Bloom's Scope Hours Source
Number Forms: Representing Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 347.01.a
  

Numeration
The Numeration Unit focuses on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships.

    Patterns: Associate/Function
The learner will be able to associate patterns to the concepts of functions.
Strand Bloom's Scope Hours Source
Patterns Analysis Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 353.03.a
  
    Patterns: Problem Solving
The learner will be able to apply patterns in order to obtain solutions to problems.
Strand Bloom's Scope Hours Source
Patterns: Problem Solving Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 353.03.a
  

Percents
The Percent Unit focuses on the concept of percent. This unit includes performing operations with percents, converting percents to other number forms, using manipulatives to demonstrate percents, and solving problems with percents in real-world contexts.

    Problem Solving: Percents
The learner will be able to obtain solutions to problems involving percents.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 347.01.a
  

Data Analysis/Probability/Statistics

    Data Analysis: Interpret/Predict
The learner will be able to interpret and formulate predictions for data presented in line graphs or scatter plots through investigation of patterns and identification of algebraic ideas.
Strand Bloom's Scope Hours Source
Data Analysis Master ID: State Achievement Standards, 2001, Grades 9-12, 352.01.a
  
    Mean/Median/Mode/Range: Summarize
The learner will be able to obtain summaries of data in a variety of ways including the application of mean, mode, median, and/or range.
Strand Bloom's Scope Hours Source
Average/Median/Mode/Range Master ID: State Achievement Standards, 2001, Grades 9-12, 352.03.a
  
    Predicting: Probability
The learner will be able to make predictions and/or descriptions of the probability (possibly expressed as a rational number between 0 and 1) of a certain event.
Strand Bloom's Scope Hours Source
Predictions Master ID: State Achievement Standards, 2001, Grades 9-12, 352.04.c
  
    Probability: Compound
The learner will be able to perform and/or interpret experiments involving compound probabilities.
Strand Bloom's Scope Hours Source
Probability Master ID: State Achievement Standards, 2001, Grades 9-12, 352.04.a
  
    Outcomes: Identify
The learner will be able to recognize potential outcomes for an elementary experiment.
Strand Bloom's Scope Hours Source
Outcomes Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 352.04.a
  
    Probability: Define
The learner will be able to mathematically define probability.
Strand Bloom's Scope Hours Source
Probability Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 352.04.c
  
    Data Analysis: Analyze/Compare
The learner will be able to analyze and make comparisons of data presented in frequency distributions, diagrams, charts, tables, and graphs, and formulate predictions or conclusions about this data.
Strand Bloom's Scope Hours Source
Data Analysis Master ID: State Achievement Standards, 2001, Grades 9-12, 352.01.a
  
    Independent/Dependent Events
The learner will be able to understand how the difference between independent and dependent events affects the results of given probability scenarios.
Strand Bloom's Scope Hours Source
Independent/Dependent/Mutually Exclusive Master ID: State Achievement Standards, 2001, Grades 9-12, 352.04.b
  
    Probability:With and Without Replacement
The learner will be able to find probabilities with or without replacement.
Strand Bloom's Scope Hours Source
Probability Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 352.04.a
  
    Table/Chart: Create
The learner will be able to create tables and charts to display data.
Strand Bloom's Scope Hours Source
Tables/Charts Master ID: State Achievement Standards, 2001, Grades 9-12, 352.02.a
  
    Interpret/Create/Tables ,Charts,Graphs
The learner will be able to interpret and create a variety of tables, graphs, and charts.
Strand Bloom's Scope Hours Source
Graphing Master ID: State Achievement Standards, 2001, Grades 9-12, 352.01.a
  
    Graphs: Organize/Defend/Choice
The learner will be able to organize data in tables and graphs and defend the choice of the particular table or graph that has been selected.
Strand Bloom's Scope Hours Source
Graphing Master ID: State Achievement Standards, 2001, Grades 9-12, 352.02.a
  
    Tables/Charts: Create/Read/Interpret
The learner will be able to create, read, and/or interpret tables and charts for groups of data.
Strand Bloom's Scope Hours Source
Tables/Charts Master ID: State Achievement Standards, 2001, Grades 9-12, 352.01.a
  
    Graphs/Correlation
The learner will be able to describe what type of correlation a graph has.
Strand Bloom's Scope Hours Source
Graphing Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 352.01.a
  

Problem Solving
The Problem Solving Unit focuses on the problem solving effort. This unit includes analyzing problems, evaluating solutions, problem exploration, and strategies.

    Problem Solving: Tools/Manipulatives
The learner will be able to obtain problem solutions that connect ideas to one another and to practical applications using instruments and manipulatives.
Strand Bloom's Scope Hours Source
Problem Solving Master ID: State Achievement Standards, 2001, Grades 9-12, 348.01
  
    Problem Solving: Estimate/Predict
The learner will be able to apply estimation strategies to predict calculated results when solving problems.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 348.01.a
  
    Represent Problems: Algebraically
The learner will be able to represent problem scenarios with algebraic expression and equations.
Strand Bloom's Scope Hours Source
Represent Problems Application Master 1.5 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.a
  
    Solution: Reasonableness
The learner will be able to evaluate the reasonableness of a given solution.
Strand Bloom's Scope Hours Source
Solution Evaluation Master 1.5 ID: State Achievement Standards, 2001, Grades 9-12, 348.01.a
  
    Strategies: Choose/Suitable
The learner will be able to choose suitable problem solving strategies.
Strand Bloom's Scope Hours Source
Strategies Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 348.01.a
  
    Strategies: Choose/Tools/Suitable
The learner will be able to choose suitable mathematical tools to obtain solutions to problems.
Strand Bloom's Scope Hours Source
Strategies Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 348.01.a
  

Rational and Irrational Numbers

    Irrational Numbers: Approximations
The learner will be able to determine decimal approximations of irrational numbers and simple radicals with and without a calculator.
Strand Bloom's Scope Hours Source
Irrational Numbers Application Master 1.0 District Expectation
  
    Operations: Rational Numbers
The learner will be able to apply the four basic operations on rational numbers with and without a calculator.
Strand Bloom's Scope Hours Source
Operations Application Master 1.0 District Expectation
  
    Rational Numbers: Represent
The learner will be able to represent rational numbers in equivalent forms.
Strand Bloom's Scope Hours Source
Rational Numbers Application Master 0.5 District Expectation
  
    Rational Numbers: Square Root
The learner will be able to determine the square root of a rational number through the simplification of radicals and by using a calculator.
Strand Bloom's Scope Hours Source
Rational Numbers Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 347.01.c
  

Real Numbers and the Coordinate Plane
The Real Numbers and the Coordinate Plane Unit includes graphing equations, and making connections between algebraic concepts and their geometric correspondences.

    Cartesian Plane: Graphing Inequalities
The learner will be able to make graphs of linear inequalities using coordinates and/or the Cartesian plane.
Strand Bloom's Scope Hours Source
Coordinate Geometry Master ID: State Achievement Standards, 2001, Grades 9-12, 351.03.a
  
    Coordinate Plane: Plot Points
The learner will be able to plot points on a coordinate grid.
Strand Bloom's Scope Hours Source
Coordinate Geometry Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.03.a
  
    Graphing: Recognize/Lines
The learner will be able to recognize graphs of lines, including special cases.
Strand Bloom's Scope Hours Source
Graphing Knowledge Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 351.03.a
  
    Slope: Compute
The learner will be able to compute the slope when presented with the change of the two variables.
Strand Bloom's Scope Hours Source
Slope Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 351.03.a
  
    Slope: Explain/Rate of Change
The learner will be able to explain the definition of the slope of a line as a rate of change.
Strand Bloom's Scope Hours Source
Slope Comprehension Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 351.03.a
  

Calculus and Pre-Calculus
The Calculus and Pre-Calculus Unit includes studying the following concepts: limits, matrix algebra, functions, vectors, conic sections, mathematical induction, and sequence and series using graphical calculators, computers, and models.

    Matrices: Problem Solving
The learner will be able to apply matrices to obtain solutions to problems.
Strand Bloom's Scope Hours Source
Matrices Application Master 1.5 ID: State Achievement Standards, 2001, Grades 9-12, 347.02.b
  
    Vectors: Understand
The learner will be able to comprehend the characteristics of vectors.
Strand Bloom's Scope Hours Source
Vectors Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.03.b
  
    Vectors: Understand/Applications
The learner will be able to develop an understanding of the applications of vectors.
Strand Bloom's Scope Hours Source
Vectors Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.03.b
  

© 2004 by mvsd and EdVISION Corporation.  All Rights Reserved. Made with Curriculum Designer by EdVISION Corporation.