© 2005 by
Queen Bee School District 16
and
Scantron Corporation.
All Rights Reserved.
Made with
Curriculum Designer by
Scantron Corporation
|
|
|
Queen Bee School District 16 |
|
Math, June 2004 |
|
Mathematics - Algebra I |
|
|
Polynomials/Factoring: Relationships
The learner will be able to
demonstrate an understanding of the inverse relationship between multiplying binomials and factoring polynomials.
| Strand |
Bloom's |
Scope |
Activities |
| Polynomials |
|
Master |
Classroom
|
|
Radicals: Equations
The learner will be able to
translate sentences into numerical radical equations and solve for an unknown number, explain solving radical equations, find the value of an unknown variable, solve radical equations for solution sets, describe the characteristics of radical equations, and step into "teacher" roles to evaluate a sample student's work.
| Strand |
Bloom's |
Scope |
Activities |
| Radicals |
|
Master |
Classroom
|
|
Radicals: Multiplication/Division
The learner will be able to
translate sentences into radical terms, find the product or quotient, rationalize denominators, and either reduce the answer to simplest radical form or find the approximate square root.
| Strand |
Bloom's |
Scope |
Activities |
| Radicals |
|
Master |
Classroom
|
|
Systems of Equations: Addition
The learner will be able to
identify, apply, and analyze steps toward solving a system of equations by addition.
| Strand |
Bloom's |
Scope |
Activities |
| Systems of Equations |
|
Master |
Classroom
|
|
Connecting: Algebra/Geometry
The learner will be able to
apply geometric concepts to solve problems in algebra by solving systems of equations through graphing, analyzing range, domain, functions, and intercepts, by finding the equation of the line, given a graphical representation, and by exploring number sentence relationships.
| Strand |
Bloom's |
Scope |
Activities |
| Connecting |
|
Master |
Classroom
|
|
Number Sentences: Relating to Real-World
The learner will be able to
formulate expressions and equations for given scenarios, and justify each variable and coefficient by explaining how each corresponds to an element of the given scenarios, emphasize justifying the set-up, and not on simplifying or solving the expressions or equations, and change the equations or expressions, describing why the expressions or equations need to be changed if scenario elements are altered.
| Strand |
Bloom's |
Scope |
Activities |
| Number Sentence |
|
Master |
Classroom
|
|
Manipulatives: Proving
The learner will be able to
use physical models as visual aids to explain an equation (variables, coefficients, operations, and graphical representations) its symbolic value (by providing scenarios which could be represented by the equation), how the equation can be solved, and how inverse operations can prove the validity of the solution.
| Strand |
Bloom's |
Scope |
Activities |
| Solution Methods |
|
Master |
Classroom
|
|
Properties
The learner will be able to
identify and apply the following properties of addition and multiplication: multiplication by 0, distributive, associative, reciprocal, adding like terms, property of opposites, commutative, and order of operations.
| Strand |
Bloom's |
Scope |
Activities |
| Properties |
Application |
Master |
Classroom
|
|
Properties: Identify Uses
The learner will be able to
identify the use of properties in solving a problem.
| Strand |
Bloom's |
Scope |
Activities |
| Properties |
Knowledge |
Master |
Classroom
|
|
Properties: Represent
The learner will be able to
use manipulatives, discussion, and pictures to find and show properties of real numbers.
| Strand |
Bloom's |
Scope |
Activities |
| Properties |
Application |
Master |
Classroom
|
|
Equations: Addition/Subtraction
The learner will be able to
use addition or subtraction in one variable equations to determine the value of the variable.
| Strand |
Bloom's |
Scope |
Activities |
| Equations |
Application |
Master |
Classroom
|
|
Equations: Multiplication/Division
The learner will be able to
use multiplication or division in one variable equations to determine the value of the variable.
| Strand |
Bloom's |
Scope |
Activities |
| Equations |
Application |
Master |
Classroom
|
|
Equations: Two-Step
The learner will be able to
solve a one variable equation that requires more than one operation.
| Strand |
Bloom's |
Scope |
Activities |
| Solve Equations |
Application |
Master |
Classroom
|
|
Equations: Writing
The learner will be able to
develop and write equations based on word problems.
| Strand |
Bloom's |
Scope |
Activities |
| Equations |
Synthesis |
Master |
Classroom
|
|
Number Relation Problems
The learner will be able to
translate sentences into algebraic equations and solve the equations.
| Strand |
Bloom's |
Scope |
Activities |
| Solve Equations |
Application |
Master |
Classroom
|
|
Equations: Two Variables
The learner will be able to
solve for the value of a variable in two variable equations.
| Strand |
Bloom's |
Scope |
Activities |
| Solve Equations |
Application |
Master |
Classroom
|
|
Inequalities
The learner will be able to
solve for the value of a variable given in an inequality and as shown on a graph by manipulating the inequality correctly.
| Strand |
Bloom's |
Scope |
Activities |
| Inequalities |
Application |
Master |
Classroom
|
|
Absolute Value
The learner will be able to
evaluate expressions, apply the definition of absolute value, recognize absolute value expressions on number lines, and solve equations by finding the solution sets.
| Strand |
Bloom's |
Scope |
Activities |
| Absolute Value |
Analysis |
Master |
Classroom
|
|
Absolute Value Problems
The learner will be able to
solve absolute value problems.
| Strand |
Bloom's |
Scope |
Activities |
| Absolute Value |
Comprehension |
Master |
Classroom
|
|
Expressions: Addition/Subtraction
The learner will be able to
use addition or subtraction in one variable expressions and equations and determine the number sentence for a written expression.
| Strand |
Bloom's |
Scope |
Activities |
| Expressions |
Application |
Master |
Classroom
|
|
Expressions: Multiplication/Division
The learner will be able to
use multiplication or division in one variable expressions and equations and determine the number sentence for a written expression.
| Strand |
Bloom's |
Scope |
Activities |
| Expressions |
Application |
Master |
Classroom
|
|
Expressions: Evaluating/Simplifying
The learner will be able to
simplify expressions, apply the rules regarding order of operations, and evaluate expressions with one or two unknown variables.
| Strand |
Bloom's |
Scope |
Activities |
| Simplify Expressions |
Application |
Master |
Classroom
|
|
Polynomials/Equations: Represent
The learner will be able to
use manipulatives and geometric area models to represent equations and polynomials.
| Strand |
Bloom's |
Scope |
Activities |
| Polynomials |
Comprehension |
Master |
Classroom
|
|
Polynomials: Addition/Subtraction
The learner will be able to
identify and justify each step and rule of adding and subtracting polynomials.
| Strand |
Bloom's |
Scope |
Activities |
| Polynomials |
Analysis |
Master |
Classroom
|
|
Polynomials: Multiplication
The learner will be able to
translate sentences into numerical equations including monomials and binomials.
| Strand |
Bloom's |
Scope |
Activities |
| Polynomials |
Comprehension |
Master |
Classroom
|
|
Polynomials: Division
The learner will be able to
divide both monomials and polynomials.
| Strand |
Bloom's |
Scope |
Activities |
| Polynomials |
Knowledge |
Master |
Classroom
|
|
Radicals: Addition/Subtraction
The learner will be able to
combine radical terms, find the simplest radical form, and approximate square roots.
| Strand |
Bloom's |
Scope |
Activities |
| Radicals |
Application |
Master |
Classroom
|
|
Radical Expressions: Represent/Solve
The learner will be able to
use manipulatives, pictures, and technology (i.e., calculators) to solve operations with radical expressions.
| Strand |
Bloom's |
Scope |
Activities |
| Radicals |
Comprehension |
Master |
Classroom
|
|
Quadratic Equations: Graphing
The learner will be able to
solve quadratic equations with 2 variables by graphing the system on a coordinate plane.
| Strand |
Bloom's |
Scope |
Activities |
| Quadratic Equations/Formula |
Application |
Master |
Classroom
|
|
Quadratic/Linear Equations: Justifying
The learner will be able to
solve linear and quadratic equations with 2 variables by graphing and justifying the solution.
| Strand |
Bloom's |
Scope |
Activities |
| Quadratic Equations/Formula |
Application |
Master |
Classroom
|
|
Quadratic Formula: Comparison
The learner will be able to
compare coordinate and number line graphs to the quadratic formula.
| Strand |
Bloom's |
Scope |
Activities |
| Quadratic Equations/Formula |
Analysis |
Master |
Classroom
|
|
Quadratic Equations: Real World
The learner will be able to
solve quadratic equations in real world situations.
| Strand |
Bloom's |
Scope |
Activities |
| Quadratic Equations/Formula |
Application |
Master |
Classroom
|
|
Inverse Operations
The learner will be able to
""work backwards" to solve story problems.
| Strand |
Bloom's |
Scope |
Activities |
| Solution Methods |
Analysis |
Master |
Classroom
|
|
Identify Question
The learner will be able to
identify the question that is represented in a number sentence.
| Strand |
Bloom's |
Scope |
Activities |
| Identify Question |
Comprehension |
Master |
Classroom
|
|
Variable/Expression/Equation
The learner will be able to
comprehend the concepts of variable, expression, and equation.
| Strand |
Bloom's |
Scope |
Activities |
| Variable |
Comprehension |
Master |
Classroom
|
|
Equality/Inequality/Expression: Problems
The learner will be able to
solve story problems involving equations, inequalities, and expressions.
| Strand |
Bloom's |
Scope |
Activities |
| Equality/Inequality |
Application |
Master |
Classroom
|
|
Solving Equations/Inequalities
The learner will be able to
solve a system of 2 first degree equations or an inequality with 2 variables in a real world situation.
| Strand |
Bloom's |
Scope |
Activities |
| Equality/Inequality |
Application |
Master |
Classroom
|
|
Equality/Inequality: Solution Methods
The learner will be able to
use technology (i.e., calculators), matrices, and graphing to solve systems of 2 first degree equations or inequalities with 2 variables in real world situations.
| Strand |
Bloom's |
Scope |
Activities |
| Equality/Inequality |
Application |
Master |
Classroom
|
|
Factoring
The learner will be able to
factor trinomials, find the difference of two squares, find missing terms which complete perfect square trinomials, find the length and width of a rectangle when given the area (a trinomial), identify deductive arguments based on principles of factoring, describe the inverse relationship between multiplying polynomials and factoring, and use combined types of factoring.
| Strand |
Bloom's |
Scope |
Activities |
| Factoring |
Analysis |
Master |
Classroom
|
|
Factorials
The learner will be able to
determine values for factorials, identify the notation and equation used in calculating a factorial, and solve factorial equations with variables.
| Strand |
Bloom's |
Scope |
Activities |
| Factorials |
Application |
Master |
Classroom
|
|
Table: Compute
The learner will be able to
identify values from the graph, compare values from the graph, determine the value of multiple entries, and perform the necessary calculations to find the missing parts of a table.
| Strand |
Bloom's |
Scope |
Activities |
| Tables/Charts |
|
Master |
Classroom
|
|
Graphs: Construct
The learner will be able to
construct charts and graphs.
| Strand |
Bloom's |
Scope |
Activities |
| Graphing |
|
Master |
Classroom
|
|
Graphs: Relationships
The learner will be able to
discuss relationships between tables, graphs, and equations.
| Strand |
Bloom's |
Scope |
Activities |
| Analyzing/Evaluating Graphical Forms |
Analysis |
Master |
Classroom
|
|
Function Notation
The learner will be able to
review and evaluate a sample student's work, give directions regarding the use of functional notation, understand the formula f(x) = y, find the range of a function, and calculate the values of unknown variables by substitution.
| Strand |
Bloom's |
Scope |
Activities |
| Functions/Relations |
|
Master |
Classroom
|
|
Functions/Relations: Types
The learner will be able to
identify correct methods for discerning functions and relations, find the value of a variable which will make a relation not a function, describe how functions and relations appear on graphs, identify linear functions and their traits, translate sentences into coordinate points for relations and functions, and recognize functions described in sentences.
| Strand |
Bloom's |
Scope |
Activities |
| Functions/Relations |
|
Master |
Classroom
|
|
Communicating: Functions
The learner will be able to
use graphs, charts, and tables to present an analysis of a functional relationship, and articulate how each element of the relationship alters the resulting function.
| Strand |
Bloom's |
Scope |
Activities |
| Communicating |
|
Master |
Classroom
|
|
Connecting: Functions
The learner will be able to
explore the interrelationships of mathematical functions using tables, graphs, and equations, focusing on the interrelationships, and not on exploring functions as isolated phenomena.
| Strand |
Bloom's |
Scope |
Activities |
| Connecting |
|
Master |
Classroom
|
|
Represent/Translate Functions
The learner will be able to
apply functional notation to mapping, tables, graphs, and inverse functions, and translate representations of functions from these forms.
| Strand |
Bloom's |
Scope |
Activities |
| Representations of Functions |
|
Master |
Classroom
|
|
Representations: Functions/Relations
The learner will be able to
use tables, mappings, and coordinate pairs to represent functions and relations.
| Strand |
Bloom's |
Scope |
Activities |
| Representations of Functions |
Application |
Master |
Classroom
|
|
Congruency/Similarity/Proportionality
The learner will be able to
demonstrate an understanding of congruency, similarity, and proportionality through deductive reasoning.
| Strand |
Bloom's |
Scope |
Activities |
| Congruence/Similarity/Symmetry |
|
Master |
Classroom
|
|
Connecting: Geometry/Algebra
The learner will be able to
apply geometric concepts to solve problems in algebra by solving systems of equations through graphing, analyzing range, domain, functions, and intercepts, by finding an equation of a line given a graphical representation, and by exploring number sentence relationships to coordinate graphs (numerical coefficients, slopes, and the y and x intercepts).
| Strand |
Bloom's |
Scope |
Activities |
| Connecting |
|
Master |
Classroom
|
|
Problem Solving: Area/Perimeter
The learner will be able to
solve real-world problems (involving the area and perimeter of quadrilaterals, regular polygons, and circles) which require logical deductions and reasoning based on geometric properties, and utilize geometric concepts as proof or evidence of a self-generated solution theory.
| Strand |
Bloom's |
Scope |
Activities |
| Problem Solving |
|
Master |
Classroom
|
|
Proving: Geometric Principles
The learner will be able to
prove that the altitude from the vertex angle of an isosceles triangle contains the midpoint of the opposite side, that translations and rotations are isometries (given that an isometry preserves collinearity, betweenness, and angle measures, and a triangle and its image under an isometry are congruent), and that two triangles (with two sides each and congruent angles) are congruent.
| Strand |
Bloom's |
Scope |
Activities |
| Geometric Proofs/Theorems |
|
Master |
Classroom
|
|
Pythagorean Theorem: Analyze
The learner will be able to
identify situations requiring the Pythagorean theorem, and analyze how and why the theorem is used.
| Strand |
Bloom's |
Scope |
Activities |
| Pythagorean Theorem |
Analysis |
Master |
Classroom
|
|
Pythagorean Theorem: Apply
The learner will be able to
use the Pythagorean theorem, and the theorem's converse, to solve real-world scenario problems involving right triangles.
| Strand |
Bloom's |
Scope |
Activities |
| Pythagorean Theorem |
Application |
Master |
Classroom
|
|
Transformation
The learner will be able to
rotate and flip figures on a coordinate graph, understanding the line of reflection and how a point transposed across that line is determined.
| Strand |
Bloom's |
Scope |
Activities |
| Transformations |
Application |
Master |
Classroom
|
|
Predict Characteristics
The learner will be able to
predict characteristics of unseen faces of 3 dimensional figures.
| Strand |
Bloom's |
Scope |
Activities |
| Three-Dimensional Solids |
Synthesis |
Master |
Classroom
|
|
Geometric Relationships: Analyze
The learner will be able to
discuss geometric concepts by analyzing relationships between figures, shapes, and triangles.
| Strand |
Bloom's |
Scope |
Activities |
| Geometric Relationships |
Analysis |
Master |
Classroom
|
|
Geometric Relationships: Represent
The learner will be able to
use manipulatives to describe and name geometric relationships in 2 and 3 dimensions.
| Strand |
Bloom's |
Scope |
Activities |
| Geometric Relationships |
Analysis |
Master |
Classroom
|
|
Exploring: Applications/Representations
The learner will be able to
extend and discover new applications and representations of integers.
| Strand |
Bloom's |
Scope |
Activities |
| Exploring |
|
Master |
Classroom
|
|
Add Negative Integer/Whole Number
The learner will be able to
add a negative integer to a whole number.
| Strand |
Bloom's |
Scope |
Activities |
| Add Integers |
Knowledge |
Master |
Classroom
|
|
Add Integers
The learner will be able to
add integers.
| Strand |
Bloom's |
Scope |
Activities |
| Add Integers |
Knowledge |
Master |
Classroom
|
|
Adding: Integer Fractions
The learner will be able to
add integer fractions with the same denominator.
| Strand |
Bloom's |
Scope |
Activities |
| Add Integers |
Knowledge |
Master |
Classroom
|
|
Subtract Negative Integer/Whole Number
The learner will be able to
subtract a negative integer from a whole number.
| Strand |
Bloom's |
Scope |
Activities |
| Subtract Integers |
Knowledge |
Master |
Classroom
|
|
Subtract Integers
The learner will be able to
subtract integers.
| Strand |
Bloom's |
Scope |
Activities |
| Subtract Integers |
Knowledge |
Master |
Classroom
|
|
Subtraction: Integer Fractions
The learner will be able to
subtract integer fractions with the same denominator.
| Strand |
Bloom's |
Scope |
Activities |
| Subtract Integers |
Knowledge |
Master |
Classroom
|
|
Integers: Understanding
The learner will be able to
compare integers with ordering symbols (<, >, =) and with phrases.
| Strand |
Bloom's |
Scope |
Activities |
| Integers |
Comprehension |
Master |
Classroom
|
|
Integers: Number Lines
The learner will be able to
interpret real-world scenarios involving integers presented on number lines.
| Strand |
Bloom's |
Scope |
Activities |
| Integers |
Analysis |
Master |
Classroom
|
|
Integer: Missing Element
The learner will be able to
identify the missing element in an integer equation.
| Strand |
Bloom's |
Scope |
Activities |
| Integers |
Comprehension |
Master |
Classroom
|
|
Multiply Negative Integers/Whole Numbers
The learner will be able to
multiply a negative integer by a whole number.
| Strand |
Bloom's |
Scope |
Activities |
| Multiply Integers |
Knowledge |
Master |
Classroom
|
|
Multiply Integers
The learner will be able to
multiply integers.
| Strand |
Bloom's |
Scope |
Activities |
| Multiply Integers |
Knowledge |
Master |
Classroom
|
|
Multiplying: Integer Fractions
The learner will be able to
multiply integer fractions.
| Strand |
Bloom's |
Scope |
Activities |
| Multiply Integers |
Knowledge |
Master |
Classroom
|
|
Divide Integers
The learner will be able to
divide integers.
| Strand |
Bloom's |
Scope |
Activities |
| Divide Integers |
Knowledge |
Master |
Classroom
|
|
Division: Integer Fractions
The learner will be able to
divide integer fractions.
| |
