Jefferson County Schools
Jefferson County Schools

Mathematics - Foundations II

Mathematics

The Tennessee Mathematics Framework for grades 9 through 12 includes skills for many different High School level courses, and contains the following process standards:

MATHEMATICS AS PROBLEM SOLVING

The study of mathematics must emphasize Problem Solving opportunities which require various approaches to investigate, understand, and apply mathematical concepts.
The development of each learner’s ability to solve problems is essential if he or she is to be a productive citizen. We strongly endorse the first recommendation of An Agenda for Action (NCTM, 1980): "Problem solving must be the focus of school mathematics." To develop such abilities, students need to work on problems that may take hours, days, and even weeks to solve. Some may be relatively simple exercises to be accomplished independently; some should involve small groups or an entire class working cooperatively; and some problems should also be open-ended with no single right answer.
"Mathematics as Problem Solving" emphasizes the learners’ use of a broad base of strategies to:
Investigate and understand mathematical content
Recognize and formulate problems from within and outside of mathematics
Use mathematical modeling and appropriate technology to solve a wide variety of problems, including real-world problems.
Generalize solutions and strategies, applying them to new problems
Increase confidence in their ability to use mathematics meaningfully and to become independent problem solvers.

MATHEMATICS AS COMMUNICATION

The study of mathematics must emphasize Communication by requiring opportunities to explain, conjecture, summarize, and defend one’s ideas orally, in writing, and through the use of technology.
The development of a learner’s power to think mathematically involves learning the signs, symbols, and terms of mathematics. This is best accomplished in problem situations in which students have an opportunity to read, write, and discuss ideas in which the use of the language of mathematics becomes natural. As students communicate their ideas, they learn to clarify, refine, and consolidate their answers.
"Mathematics as Communication" focuses on the learners’ development of using language and symbols to:
Reflect and clarify thinking about mathematical ideas and situations
Express mathematical ideas and relationships, orally, in writing, and with physical material, pictures, and diagrams
Understand and value the role of mathematical notation
Realize that representing, discussing, listening, writing, and reading mathematics are vital aspect of mathematics study and use
Use mathematical notation to formulate generalizations.

MATHEMATICS AS REASONING

The study of mathematics must emphasize Reasoning which requires critical thinking, logical argument, and justification of solutions, of thought processes, and of conjectures.
Making conjectures, gathering evidence, and building an argument to support such notions are fundamental to doing mathematics. In fact, a demonstration of good reasoning should be rewarded even more than the learner’s ability to find correct answers.
"Mathematics as Reasoning" concentrates on leading the learners to:
Make and test mathematical conjectures
Make, follow, and judge the value of mathematical arguments
Draw logical conclusions
Justify solution-finding processes and answers.

MATHEMATICAL CONNECTIONS

The study of mathematics must emphasize making Connections among the various topics within mathematics, between mathematics and other disciplines, and between mathematics and "real world" situations.
The mathematics curriculum is often viewed as consisting of several discrete stands; so topics tend to be taught in isolation. Unless the learners connect ideas both among and between areas of mathematics, they learn isolated skills rather than develop the ability to recognize general principles and procedures relevant to several areas. Connecting conceptual understanding to procedures will enable learners to apply, recreate, and invent new procedures when needed. Failure to connect conceptual understanding to procedures results in a view of mathematics as an arbitrary set of rules. Learners should have many opportunities to observe and work with the interaction of mathematics with other subjects and with everyday society. Problems become meaningful when they relate to the learners’ experiences. Mathematics must be integrated into contexts that give its symbols and processes practical meaning. The school environment is rich with opportunities to use mathematics in other subject areas as well as other subject area content in mathematics.
"Mathematical Connections" concentrate on enabling the learners to:
Appreciate mathematics as an integrated whole, linking conceptual and procedural knowledge within the discipline and relating multiple representations of concepts or procedures to one another.
Apply mathematical thinking and modeling to solve substantial problems that arise in other disciplines and curriculum areas, such as art, business, music, psychology, industrial arts, computer technology, social studies, and sciences, such as biology, chemistry, and physics.
Use, recognize, and value the varied roles of mathematics in their lives, cultures, and society.

The Principles and Standards for School Mathematics describe the mathematical understanding, knowledge, and skills that students should acquire from prekindergarten through grade 12.

Algebra I is the Tennessee End-of-course test that must be passed before graduation to earn a high school diploma.

Foundations II

The Tennessee End-of-Course Tests for mathematics include a Foundations II test. Foundations II is a course that uses problem situations, physical models, and appropriate technology to investigate concepts and topics that prepare students for higher level mathematics. Problem solving situations will provide all students an environment that promotes communication and fosters connections within mathematics, to other disciplines, and to the real world. Students will use physical models to represent, explore, and develop abstract concepts. The use of appropriate technology will help students apply mathematics in an increasingly technological world. The concepts emphasized in the course include investigating and analyzing the real number system and its properties, developing and applying skills in measurement and computation, recognizing and applying patterns to solve problems, investigating basic functions and their graphs, evaluating algebraic expressions and solving equations, developing basic concepts of statistics and probability, and investigating geometric properties and relationships.


Algebraic Concepts
The Algebraic Concepts Unit includes Competencies/Objectives which focus on algebraic equations and operations. 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.

    Expressions: Operations/Justify
The learner will be able to perform operations on simple expressions, and informally justify the procedures selected.
Strand Bloom's Scope Hours Source
Expressions Master TN: End-of-Course tests, 2001, Foundations II, 2.3 week tested: 16.
  
    Inverse: Explain/Illustrate
The learner will be able to informally explain and illustrate the concept of inverse.
Strand Bloom's Scope Hours Source
Inverse Operations Master TN: End-of-Course tests, 2001, Foundations II, 1.4 week tested: 16.
  
    Algebraic Concepts: Probability/Stat
The learner will be able to obtain solutions to problems in probability and statistics using algebraic thought processes and symbolism.
Strand Bloom's Scope Hours Source
Algebraic Concepts Master TN: End-of-Course tests, 2001, Foundations II, 3.3 week tested: 16.
  
    Algebraic Concepts: Number Theory
The learner will be able to obtain solutions to problems in number theory using algebraic thought processes and symbolism.
Strand Bloom's Scope Hours Source
Algebraic Concepts Master TN: End-of-Course tests, 2001, Foundations II, 3.3 week tested: 16.
  
    Algebraic Concepts: Geometry
The learner will be able to obtain solutions to problems in geometry using algebraic thought processes and symbolism.
Strand Bloom's Scope Hours Source
Algebraic Concepts Master TN: End-of-Course tests, 2001, Foundations II, 3.3 week tested: 16.
  
    Algebraic Concepts: Measure/Approximate
The learner will be able to obtain solutions to problems in measurement and approximation using algebraic thought processes and symbolism.
Strand Bloom's Scope Hours Source
Algebraic Concepts Master TN: End-of-Course tests, 2001, Foundations II, 3.3 week tested: 16.
  
    Solution Methods: Appropriate Tools
The learner will be able to compute using appropriate tools such as mental math, technology, manipulatives, and pencil-and-paper.
Strand Bloom's Scope Hours Source
Solution Methods Master TN: End-of-Course tests, 2001, Foundations II, 2.0 week tested: 16.
  
    Order of Operations: Evaluate/Expression
The learner will be able to apply the order of operations to evaluate numerical expressions (whole numbers only; no exponents or grouping symbols).
Strand Bloom's Scope Hours Source
Order of Operations Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 2.0 PIS Level 1 week tested: 16.
  
    Properties: Distributive/Represent
The learner will be able to utilize concrete and pictorial representations to show the Distributive Property.
Strand Bloom's Scope Hours Source
Properties Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 1.0 PIT Level 2 week tested: 16.
  
    Linear Equations: Solve/One-Step
The learner will be able to obtain the solution to a one-step linear equation with integral coefficients, integral constants, and a variable only on one side.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.0 PIS Level 2 week tested: 16.
  
    Linear Equations: Solve/Two-Step
The learner will be able to obtain the solution to a two-step linear equation with integral coefficients, integral constants, and a variable only on one side.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.0 PIS Level 2 week tested: 16.
  
    Inequalities: Graph/Number Line
The learner will be able to choose the number line graph that models a one-step linear inequality with only positive coefficients.
Strand Bloom's Scope Hours Source
Inequalities Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.0 PIS Level 3 week tested: 16.
  
    Absolute Value: Connect
The learner will be able to connect concrete, graphical, oral, and symbolic illustrations of absolute value.
Strand Bloom's Scope Hours Source
Absolute Value Analysis Master 1.5 TN: End-of-Course tests, 2001, Foundations II, 1.8, 1.0 PIT Level 3 week tested: 16.
  
    Expressions: Equivalent Forms/Monomials
The learner will be able to select an equivalent form of a factored first degree one-variable monomial with positive integral coefficients.
Strand Bloom's Scope Hours Source
Expressions Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 1.0 PIS Level 2 week tested: 16.
  
    Expressions: Evaluate/First Degree
The learner will be able to determine an answer for a first degree algebraic expression when given values for the variables (up to three variables).
Strand Bloom's Scope Hours Source
Expressions Application Master 0.5 TN: End-of-Course tests, 2001, Foundations II, 3.0 PIS Level 2 week tested: 16.
  
    Expressions: Translate/Single-Variable
The learner will be able to convert a one-variable oral expression containing no more than two operations into an algebraic expression.
Strand Bloom's Scope Hours Source
Expressions Synthesis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.0 PIS Level 2 week tested: 16.
  
    Binomial/Integer: Multiply
The learner will be able to find the product of an integer and a one-variable binomial.
Strand Bloom's Scope Hours Source
Polynomials Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 2.0 PIS Level 2 week tested: 16.
  
    Inverse Operations: Describing
The learner will be able to describe inverse operations.
Strand Bloom's Scope Hours Source
Inverse Operations Comprehension Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 1.6 week tested: 16.
  
    Inverse Operations: Use
The learner will be able to use inverse operations.
Strand Bloom's Scope Hours Source
Inverse Operations Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 1.6 week tested: 16.
  
    Algebraic Concepts: Interpret
The learner will be able to interpret the outcomes of algebraic procedures.
Strand Bloom's Scope Hours Source
Algebraic Concepts Analysis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.5 week tested: 16.
  
    Rates: Apply/Concept
The learner will be able to use the concept of rates to determine miles per hour, cost per unit, revolutions per minute, etc.
Strand Bloom's Scope Hours Source
Rates Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 2.0 PIT Level 2 week tested: 16.
  
    Rates: Understand
The learner will be able to illustrate an understanding of rates and various derived and indirect measurements.
Strand Bloom's Scope Hours Source
Rates Application Master 1.5 TN: End-of-Course tests, 2001, Foundations II, 2.8 week tested: 16.
  
    Variable: Describe
The learner will be able to describe the definition of a variable in an expression, equation, and inequality.
Strand Bloom's Scope Hours Source
Variable Comprehension Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.4 week tested: 16.
  
    Variables: Solve Inequalities
The learner will be able to apply the idea of a variable in obtaining solutions to inequalities.
Strand Bloom's Scope Hours Source
Variable Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.6 week tested: 16.
  
    Variable: Expression/Equation
The learner will be able to use the concept of variable to simplify expressions and obtain solutions to equations.
Strand Bloom's Scope Hours Source
Variable Application Master 2.0 TN: End-of-Course tests, 2001, Foundations II, 3.6 week tested: 16.
  
    Division: Understand/Zero
The learner will be able to illustrate an understanding of division with zero.
Strand Bloom's Scope Hours Source
Operations: Division Comprehension Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 1.5 week tested: 16.
  
    Simplify Expressions: Combine Like Terms
The learner will be able to combine like terms in order to simplify a first-degree algebraic expression with integral coefficients and constants.
Strand Bloom's Scope Hours Source
Simplify Expressions Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.0 PIS Level 3 week tested: 16.
  

Data Interpretation
The Data Interpretation Unit includes Competencies/Objectives which focus on the study and use of graphical forms. Students collect and classify data, organize and display data, use logical reasoning, and problem solving.

    Circle Graphs: Interpret/Real World
The learner will be able to make interpretations of circle graphs that illustrate real world data.
Strand Bloom's Scope Hours Source
Circle Graphs Analysis Master 0.5 TN: End-of-Course tests, 2001, Foundations II, 4.0 PIS Level 2 week tested: 16.
  
    Circle Graphs: Construct/Real World
The learner will be able to make circle graphs using real world data.
Strand Bloom's Scope Hours Source
Circle Graphs Synthesis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 4.0 PIT Level 1 week tested: 16.
  
    Bar Graphs: Interpret/Real World
The learner will be able to make interpretations of bar graphs that illustrate real world data.
Strand Bloom's Scope Hours Source
Bar Graphs Analysis Master 0.5 TN: End-of-Course tests, 2001, Foundations II, 4.0 PIS Level 2 week tested: 16.
  
    Bar Graphs: Construct/Real World
The learner will be able to use real world numerical data to construct bar graphs.
Strand Bloom's Scope Hours Source
Bar Graphs Synthesis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 4.0 PIT Level 1 week tested: 16.
  
    Line Graphs: Construct/Real World
The learner will be able to make line graphs using real world data.
Strand Bloom's Scope Hours Source
Line Graphs Synthesis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 4.0 PIT Level 1 week tested: 16.
  
    Graphs: Apply/Real World
The learner will be able to apply graphs to model real world phenomena.
Strand Bloom's Scope Hours Source
Graphing Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.8 week tested: 16.
  
    Graphs: Interpret/Real World
The learner will be able to interpret graphs that model real world phenomena.
Strand Bloom's Scope Hours Source
Graphing Analysis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.7 week tested: 16.
  
    Stem-and-Leaf: Construct/Real World
The learner will be able to make stem-and-leaf plots using real world data.
Strand Bloom's Scope Hours Source
Stem-and-Leaf/Box-and-Whisker Plots Synthesis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 4.0 PIT Level 2 week tested: 16.
  

Fractions
The Fractions Unit includes Competencies/Objectives which focus on number sense and operations with fractions. Students compare and order fractions, study fraction parts, estimate with fractions, reason using fractions, and problem solve using fractions.

    Multiply Fractions: Estimate
The learner will be able to select the best estimate for the result of a fraction multiplied by a fraction.
Strand Bloom's Scope Hours Source
Multiply Fractions Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 2.0 PIS Level 1 week tested: 16.
  
    Fractions: Product/Multiple/Denominator
The learner will be able to find the product of a fraction and a multiple of its denominator when the denominator is less than or equal to 25.
Strand Bloom's Scope Hours Source
Fractions Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 2.0 PIS Level 1 week tested: 16.
  

Functions
The Functions Unit includes Competencies/Objectives which focus on exploring polynomial, rational, exponential, logarithmic, trigonometric, and circular functions.

    Functions: Table/Rule
The learner will be able to complete a function table according to the given function rule.
Strand Bloom's Scope Hours Source
Functions Application Master 1.5 TN: End-of-Course tests, 2001, Foundations II, 3.0 PIT Level 1 week tested: 16.
  

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

    Similarity: Model/Area
The learner will be able to model the areas and dimensions of similar polygons.
Strand Bloom's Scope Hours Source
Similarity Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 2.0 PIT Level 2 week tested: 16.
  
    Similarity: Compare/Area
The learner will be able to make comparisons of the areas and dimensions of similar polygons.
Strand Bloom's Scope Hours Source
Similarity Analysis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 2.0 PIT Level 2 week tested: 16.
  

Integers
The Integers Unit includes Competencies/Objectives which focus on number sense and operations with integers. Students compare integers, perform operations with integers, convert integers to other number forms, use manipulatives to demonstrate integers, and solve problems with integers in real world contexts.

    Integers: Connect/Real World
The learner will be able to connect various real world scenarios to integers.
Strand Bloom's Scope Hours Source
Integers Analysis Master 0.5 TN: End-of-Course tests, 2001, Foundations II, 1.0 PIT Level 2 week tested: 16.
  
    Operations: Use/Order of Operations
The learner will be able to use the order of operations when completing computations with integers that apply no more than two sets of grouping symbols and exponents 1 and 2.
Strand Bloom's Scope Hours Source
Operations Application Master 0.5 TN: End-of-Course tests, 2001, Foundations II, 2.0 PIS Level 2 week tested: 16.
  

Measurement
The Measurement Unit includes Competencies/Objectives which focus on measurement concepts, applications, and analysis. Students study length, area, circumference, perimeter, volume, weight, formulas, distance, calendar, money, tools, accuracy, units, constructions, patterns, and problem solving.

    Problem Solving: Algebraic
The learner will be able to use measurement ideas and relationships in algebraic problem solving scenarios.
Strand Bloom's Scope Hours Source
Problem Solving Master TN: End-of-Course tests, 2001, Foundations II, 2.5 week tested: 16.
  
    Problem Solving: Real World
The learner will be able to apply the ideas of length, area, surface area, and volume to approximate and solve real world problems.
Strand Bloom's Scope Hours Source
Problem Solving Master TN: End-of-Course tests, 2001, Foundations II, 2.4 week tested: 16.
  
    Problem Solving: Geometric
The learner will be able to use measurement ideas and relationships in geometric problem solving situations.
Strand Bloom's Scope Hours Source
Problem Solving Master TN: End-of-Course tests, 2001, Foundations II, 2.5 week tested: 16.
  
    Measurement: Estimation/Computation
The learner will be able to describe the concepts and methods applied in estimation, measurement, and computation.
Strand Bloom's Scope Hours Source
Measurement: Estimation Master TN: End-of-Course tests, 2001, Foundations II, 2.2 week tested: 16.
  
    Accuracy: Select Methods/Tools
The learner will be able to select suitable methods and tools to measure quantities in order to meet specifications for accuracy.
Strand Bloom's Scope Hours Source
Accuracy Master TN: End-of-Course tests, 2001, Foundations II, 2.7 week tested: 16.
  
    Units: Apply/Appropriate
The learner will be able to apply suitable units of measurement.
Strand Bloom's Scope Hours Source
Units Application Master 1.5 TN: End-of-Course tests, 2001, Foundations II, 2.0 week tested: 16.
  
    Units: Choose/Appropriate/Real World
The learner will be able to choose suitable units of measure in real world situations.
Strand Bloom's Scope Hours Source
Units Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 2.0 PIT Level 1 week tested: 16.
  
    Length: Measure/Segment
The learner will be able to measure line segments in US standard or metric units.
Strand Bloom's Scope Hours Source
Length Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 2.0 PIT Level 1 week tested: 16.
  

Number Theory
The Number Theory Unit includes Competencies/Objectives which focus on manipulating number forms and classifications. Students make connections between number forms and their real world applications.

    Number Size: Rational/Irrational
The learner will be able to illustrate an understanding of the relative size of rational and irrational numbers.
Strand Bloom's Scope Hours Source
Number Size Master TN: End-of-Course tests, 2001, Foundations II, 1.2 week tested: 16.
  
    Number Theory: Real Numbers/Operations
The learner will be able to identify, illustrate, represent, and use real numbers and operations verbally, physically, symbolically, and graphically.
Strand Bloom's Scope Hours Source
Number Theory Master TN: End-of-Course tests, 2001, Foundations II, 1.0 week tested: 16.
  
    Number Systems: Comprehend/Real
The learner will be able to illustrate a comprehension of the subsets, elements, properties, and operations of the real number system.
Strand Bloom's Scope Hours Source
Number Systems Master TN: End-of-Course tests, 2001, Foundations II, 1.1 week tested: 16.
  
    Number Forms: Apply/Notation
The learner will be able to apply mathematical notations appropriately.
Strand Bloom's Scope Hours Source
Number Forms Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 1.10 week tested: 16.
  
    Ratio/Proportion: Real-World
The learner will be able to choose ratios and proportions, using only positive integers, to represent real-world problems.
Strand Bloom's Scope Hours Source
Ratio/Proportion Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 1.0 PIS Level 3 week tested: 16.
  
    Prime/Composites: Classify/100
The learner will be able to classify whole numbers up to 100 as prime or composite.
Strand Bloom's Scope Hours Source
Prime/Composite Numbers Analysis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 1.0 PIT Level 1 week tested: 16.
  
    Factors: Prime/To 100
The learner will be able to select the correct prime factorization of a composite whole number less than 100.
Strand Bloom's Scope Hours Source
Factors Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 1.0 PIS Level 1 week tested: 16.
  
    Number Theory Concepts: Apply
The learner will be able to use number theory concepts in mathematical problem scenarios.
Strand Bloom's Scope Hours Source
Number Theory Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 1.7 week tested: 16.
  
    Number Forms: Representing/Real World
The learner will be able to use real numbers to illustrate real world applications.
Strand Bloom's Scope Hours Source
Number Forms: Representing Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 1.9 week tested: 16.
  

Numeration
The Numeration Unit includes Competencies/Objectives which focus on exploring ordinality, identifying and extending number patterns, comparing numbers, and demonstrating number relationships.

    Patterns: Problem Solving/Real World
The learner will be able to study mathematical patterns associated with algebra and geometry in real world problem solving situations.
Strand Bloom's Scope Hours Source
Patterns: Problem Solving Master TN: End-of-Course tests, 2001, Foundations II, 3.2 week tested: 16.
  
    Patterns: Real World
The learner will be able to explain, continue, study, and develop a large variety of patterns applying suitable materials and illustrations in real world problem solving.
Strand Bloom's Scope Hours Source
Patterns: Relationships Master TN: End-of-Course tests, 2001, Foundations II, 3.0 week tested: 16.
  
    Patterns: Spatial/Identify/Continue/Make
The learner will be able to identify, continue, and/or make spatial patterns.
Strand Bloom's Scope Hours Source
Patterns: Identify/Describe/Continue Master TN: End-of-Course tests, 2001, Foundations II, 3.1 week tested: 16.
  
    Patterns: Number/Identify
The learner will be able to identify number patterns.
Strand Bloom's Scope Hours Source
Patterns: Number Knowledge Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.1 week tested: 16.
  
    Patterns: Number/Create
The learner will be able to create patterns using numbers.
Strand Bloom's Scope Hours Source
Patterns: Number Synthesis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.1 week tested: 16.
  
    Patterns: Number/Extend
The learner will be able to extend patterns of numbers.
Strand Bloom's Scope Hours Source
Patterns: Number Synthesis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.1 week tested: 16.
  
    Patterns: Number/Extend/Whole Numbers
The learner will be able to extend patterns with whole numbers.
Strand Bloom's Scope Hours Source
Patterns: Number Synthesis Master 0.5 TN: End-of-Course tests, 2001, Foundations II, 3.0 PIS Level 1 week tested: 16.
  
    Patterns: Geometric/Identify
The learner will be able to identify geometric patterns.
Strand Bloom's Scope Hours Source
Patterns: Geometric Knowledge Master 0.5 TN: End-of-Course tests, 2001, Foundations II, 3.1 week tested: 16.
  
    Patterns: Geometric/Continue
The learner will be able to continue figure patterns.
Strand Bloom's Scope Hours Source
Patterns: Geometric Synthesis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.0 PIS Level 1 week tested: 16.
  
    Patterns: Geometric/Extend/Make
The learner will be able to extend and make geometric patterns.
Strand Bloom's Scope Hours Source
Patterns: Geometric Synthesis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 3.1 week tested: 16.
  
    Comparison: Fractions/Decimals
The learner will be able to compare fractions and decimals to each other using less than, greater than, and equals symbols.
Strand Bloom's Scope Hours Source
Comparison Analysis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 1.0 PIS Level 1 week tested: 16.
  
    Ordering Numbers: Rational
The learner will be able to place a set of rational numbers in ascending order.
Strand Bloom's Scope Hours Source
Ordering Numbers Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 1.0 PIT Level 2 week tested: 16.
  
    Estimation: Determine/Reasonableness
The learner will be able to apply estimation to determine the reasonableness of results.
Strand Bloom's Scope Hours Source
Estimation Application Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 2.6 week tested: 16.
  
    Number Lines: Estimate/Points
The learner will be able to estimate the value of a point on a number line.
Strand Bloom's Scope Hours Source
Number Lines Application Master 0.5 TN: End-of-Course tests, 2001, Foundations II, 1.0 PIS Level 2 week tested: 16.
  
    Compute/Estimate: Strategies
The learner will be able to create effective estimation and computation strategies.
Strand Bloom's Scope Hours Source
Computing/Estimating Synthesis Master 1.0 TN: End-of-Course tests, 2001, Foundations II, 2.0 week tested: 16.
  
    Estimation Strategies: Predicting
The learner will be able to apply estimation strategies to forecast computational results.
Strand Bloom's Scope Hours Source
Estimation Strategies Application Master 2.0 TN: End-of-Course tests, 2001, Foundations II, 2.6 week tested: 16.
  

Perspective/Role in Society
The Perspective/Role in Society Unit includes Competencies/Objectives which focus on real world mathematics. Students study the mathematics of society and the role of mathematics in personal finance and careers.

    Consumer Costs: Determine Rates/Best Buy
The learner will be able to find the best buy by computing rates involving cost per unit (up to three samples).
Strand Bloom's Scope Hours Source
Personal Finances/Investments Application Master