mvsd
Math Curriculum 01/12/03

Mathematics - Grade 5

Mathematics

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

Grade 5

The Idaho State Achievement Standards for Mathematics provides skills for fifth grade.


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.

    *Facts: Recall/Division
The learner will be able to recall basic division facts through twelves.
Strand Bloom's Scope Hours Source
Fact Families Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 307.02.d; ISAT
  
    *Facts: Recall/Multiplication
The learner will be able to recall multiplication facts through twelves.
Strand Bloom's Scope Hours Source
Fact Families Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 307.02.d; ISAT
  
    Algebraic expressions
The learner will be able to evaluate algebraic expressions.
Strand Bloom's Scope Hours Source
Absolute Value Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 310.02; ISAT
  
    *Inverse Operations: Missing Factors
The learner will be able to solve for missing factors using inverse operations.
Strand Bloom's Scope Hours Source
Inverse Operations Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 310.03.a; ISAT
  
    Inequalities: Algebraic/Solve
The learner will be able to obtain solutions to algebraic inequalities.
Strand Bloom's Scope Hours Source
Inequalities Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 310.03; ISAT
  
    *Symbols: Express/Relationships
The learner will be able to apply the greater than, less than, and equal to symbols to express relationships.
Strand Bloom's Scope Hours Source
Symbols Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 310.01.c; ISAT
  
    Properties: Investigate
The learner will be able to investigate and use the commutative, associative, identity, zero, and inverse properties as they relate to addition and multiplication.
Strand Bloom's Scope Hours Source
Properties Application Master ID: State Achievement Standards, 2001, Grade 5, 310.02.a; ISAT
  
    Order of Operations: Explore
The learner will be able to explore the order of operations for only parentheses.
Strand Bloom's Scope Hours Source
Order of Operations Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 310.02.b; ISAT
  
    Expressions: Evaluate/Numerical
The learner will be able to evaluate numerical expressions that contain parentheses.
Strand Bloom's Scope Hours Source
Expressions Application Master 1.5 ID: State Achievement Standards, 2001, Grade 5, 307.02.e; ISAT
  
    Variables
The learner will be able to explore the meaning and use of variables in simple expressions and equations.
Strand Bloom's Scope Hours Source
Algebraic Concepts Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 310.01.a, ; ISAT
  
    Story problems
The learner will be able to translate simple word statements and story problems into algebraic equations.
Strand Bloom's Scope Hours Source
Absolute Value Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 310.01.b; ISAT
  

Data Analysis/Probability/Statistics

    Data Collection: Collect and Organize
The learner will be able to collect and organize data.
Strand Bloom's Scope Hours Source
Data Collection and Classification Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 312.02, 312.02.a; ISAT
  
    Probability: Comprehend/Concept
The learner will be able to comprehend the basic concept of probability.
Strand Bloom's Scope Hours Source
Probability Master 0.5 ID: State Achievement Standards, 2001, Grade 5, 312.04; ISAT
  
    Statistics: Simple/Use
The learner will be able to use simple statistical measurements.
Strand Bloom's Scope Hours Source
Statistics Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 312.03; ISAT
  
    Analyzing Graphs: Conclusions
The learner will be able to describe and justify conclusions made from tables, charts, and graphs.
Strand Bloom's Scope Hours Source
Graphical Forms: Analyzing/Evaluating Master ID: State Achievement Standards, 2001, Grade 5, 312.01.b; ISAT
  
    Data Interpretation/Analysis
The learner will be able to understand data analysis.
Strand Bloom's Scope Hours Source
Data Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 312.01; ISAT
  
    Ordering numbers
The learner will be able to read, write, order and compare whole numbers through billions, commonly used fractions, and decimals through thousandths.
Strand Bloom's Scope Hours Source
Data Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 307.01; ISAT
  
    Algebraic Symbolism
The learner will be able to use algebraic symbolism as a tool to represent mathematical relationships.
Strand Bloom's Scope Hours Source
Data Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 310.01; ISAT
  
    Tables: Read, Interpret, & Create
The learner will be able to read, make interpretations of, and create tables.
Strand Bloom's Scope Hours Source
Tables/Charts Analysis Master 0.5 ID: State Achievement Standards, 2001, Grade 5, 312.01.a; ISAT
  
    Charts: Read, Interpret, and Create
The learner will be able to read, interpret information presented, and make a chart.
Strand Bloom's Scope Hours Source
Tables/Charts Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 312.01.a; ISAT
  
    Graphs: Interpret
The learner will be able to interpret information presented in graphs.
Strand Bloom's Scope Hours Source
Graphing Analysis Master 0.5 ID: State Achievement Standards, 2001, Grade 5, 312.01.a; ISAT
  
    Range: Calculate/Data
The learner will be able to calculate the range of a set of data.
Strand Bloom's Scope Hours Source
Average/Median/Mode/Range Application Master 0.5 ID: State Achievement Standards, 2001, Grade 5, 312.03.b; ISAT
  
    Data: Decisions/Make
The learner will be able to determine decisions based upon data.
Strand Bloom's Scope Hours Source
Data Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 308.01.c, 312.05; ISAT
  
    Predictions: Probability Experiments
The learner will be able to formulate predictions from probability experiments.
Strand Bloom's Scope Hours Source
Predictions Analysis Master 1.5 ID: State Achievement Standards, 2001, Grade 5, 312.04.a, 312.05.a; ISAT
  
    Predictions: Formulate
The learner will be able to make predictions based on a given set of data.
Strand Bloom's Scope Hours Source
Predictions Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 308.01.c, 312.05; ISAT
  
    Communicating: Use & Understand/voca
The learner will be able to use and understand probability vocabulary.
Strand Bloom's Scope Hours Source
Communicating Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 312.04.b; ISAT
  
    Measures of Central Tendency: Determine
The learner will be able to determine measures of central tendency (mean, median, mode) for elementary data sets.
Strand Bloom's Scope Hours Source
Measures of Central Tendency Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 312.03.a; ISAT
  
    Experiments: Record Results
The learner will be able to record the results of probability experiments.
Strand Bloom's Scope Hours Source
Experiments Knowledge Master 0.5 ID: State Achievement Standards, 2001, Grade 5, 312.04.a; ISAT
  
    Experiments: Carry-Out
The learner will be able to carry-out basic probability experiments.
Strand Bloom's Scope Hours Source
Experiments Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 312.04.a; ISAT
  
    Data Display: Graph/Table/Chart
The learner will be able to use graphs, tables, charts, and/or diagrams to display collected data.
Strand Bloom's Scope Hours Source
Data Display Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 312.02.a; ISAT
  
    Computation: Methods
The learner will be able to select and use an appropriate method of computation from mental math, paper and pencil, calculator, or a combination of the three.
Strand Bloom's Scope Hours Source
Data Analysis Application, Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 307.02.f; ISAT
  

Decimals
The Decimals Unit includes Competencies/Objectives which focus on number sense and operations with decimals. The Decimals Unit includes comparison, computing, money, estimation, problem solving and reasoning.

    Number Sense: Understand/Use
The learner will be able to understand and use numbers.
Strand Bloom's Scope Hours Source
Number Sense Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 307.01
  
    Computation: Accuracy
The learner will be able to perform computations accurately.
Strand Bloom's Scope Hours Source
Computing Master 1.0 District Expectation
  
    Add/Subtract Decimals
The learner will be able to perform addition and subtraction on decimals up to tenths, hundredths, and/or thousandths.
Strand Bloom's Scope Hours Source
Add/Subtract Decimals Master ID: State Achievement Standards, 2001, Grade 5, 307.02.c; ISAT
  
    Compare & Order Decimals: Up to 0.00
The learner will be able to compare and order decimal numbers expressed to the thousandths place (0.001).
Strand Bloom's Scope Hours Source
Compare Decimals Analysis Master 2.0 ID: State Achievement Standards, 2001, Grade 5, 307.01.a
  

Fractions
The Fractions Unit includes Competencies/Objectives which focus on number sense and operations with fractions. The Fractions Unit includes comparison, ordering, fractions parts, estimation, reasoning and problem solving.

    Fractions: Read/Write/Order/Compare
The learner will be able to read, write, order, and compare commonly used fractions.
Strand Bloom's Scope Hours Source
Fractions Master ID: State Achievement Standards, 2001, Grade 5, 307.01.a; ISAT
  
    Fractions: Add/Subtract Like Denominator
The learner will be able to perform the addition and subtraction of fractions with like denominators and simplify results when necessary.
Strand Bloom's Scope Hours Source
Add/Subtract Fractions Application Master 2.0 ID: State Achievement Standards, 2001, Grade 5, 307.02.b; ISAT
  
    Exploring: Relationship/Equivalent
The learner will be able to explore the relationships present in equivalent fractions.
Strand Bloom's Scope Hours Source
Exploring Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 307.01.c; ISAT
  

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

    Functions: Explore/Concept
The learner will be able to explore the concept of a function.
Strand Bloom's Scope Hours Source
Functions Master 0.5 ID: State Achievement Standards, 2001, Grade 5, 313.01
  
    Problem Solving: Apply/Functions
The learner will be able to identify functions to various types of problems.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 313.01.a; ISAT
  

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.

    Spatial Relationships: Concept/Explore
The learner will be able to explore the concept of spatial relationship.
Strand Bloom's Scope Hours Source
Spatial Relationships Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 311.01
  
    Attributes: Recognize/Compare/Examine
The learner will be able to recognize, compare, and examine the attributes of plane and solid figures and formulate vocabulary to explain the attributes.
Strand Bloom's Scope Hours Source
Figures: Attributes Comprehension Master ID: State Achievement Standards, 2001, Grade 5, 311.01.a; ISAT
  
    Lines/Angles: Investigate
The learner will be able to investigate the basic concepts, properties and relationships among points, lines, rays, angles, and shapes.
Strand Bloom's Scope Hours Source
Lines/Angles/Polygons Comprehension Master ID: State Achievement Standards, 2001, Grade 5, 311.01.b; ISAT
  
    Congruent/Similar: Exploring Figures
The learner will be able to explore concepts of both congruent and similar figures and symmetric shapes.
Strand Bloom's Scope Hours Source
Congruence/Similarity/Symmetry Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 311.01.c; ISAT
  
    Transformations: Explore & Predict/2
The learner will be able to explore and predict the effects of slides, flips, and turns of two-dimensional figures.
Strand Bloom's Scope Hours Source
Transformations Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 311.01.e; ISAT
  
    Coordinate Plane: Plot Points
The learner will be able to identify and plot points on a coordinate plane.
Strand Bloom's Scope Hours Source
Coordinate Plane Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 311.02.a
  

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

    Units: Apply/Customary/Metric
The learner will be able to apply both customary and metric units of measurement.
Strand Bloom's Scope Hours Source
Units Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 309.01; ISAT
  
    Measurement Analysis: Dimensional
The learner will be able to apply dimensional analysis techniques.
Strand Bloom's Scope Hours Source
Measurement: Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 309.02; ISAT
  
    Problem Solving: Measure
The learner will be able to obtain solutions to problems involving the measures of length, perimeter, volume, area, weight, mass, and temperature.
Strand Bloom's Scope Hours Source
Problem Solving Comprehension Master ID: State Achievement Standards, 2001, Grade 5, 309.01.d; ISAT
  
    Measurement: Applications
The learner will be able to find the perimeters of polygons and area of rectangles, triangles, rectangular prisms, and squares in real world scenarios.
Strand Bloom's Scope Hours Source
Measurement: Application Comprehension Master ID: State Achievement Standards, 2001, Grade 5, 311.01.d; ISAT
  
    Tools/Instruments: Choose/Apply
The learner will be able to choose and apply suitable units and tools for measure in both the U.S. Customary and metric measurement system.
Strand Bloom's Scope Hours Source
Tools/Instruments Application Master ID: State Achievement Standards, 2001, Grade 5, 309.01.a; ISAT
  
    Units: Real World/Investigate
The learner will be able to investigate the relationship between units and real world applications.
Strand Bloom's Scope Hours Source
Units Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 309.02.a; ISAT
  
    Units: Convert/Same System
The learner will be able to convert units within the same measurement system.
Strand Bloom's Scope Hours Source
Units Synthesis Master 1.5 ID: State Achievement Standards, 2001, Grade 5, 309.01.e; ISAT
  
    Problem Solving: Estimate/Tools
The learner will be able to estimate measurement using measurement tools for real world and content problem scenarios.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 309.01.b
  
    Time: Relationships/Solve Problems
The learner will be able to apply knowledge of relationships to obtain real world problem solutions involving time.
Strand Bloom's Scope Hours Source
Time Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 309.01.f; ISAT
  
    Measurement Relationships: Investigate
The learner will be able to investigate the differences and relationships between perimeter and area in the metric and U.S. Customary measurement systems.
Strand Bloom's Scope Hours Source
Measurement: Relationships Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 309.01.c; ISAT
  

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

    Functions and mathematical Models
The learner will be able to apply functions to a variety of problems.
Strand Bloom's Scope Hours Source
Communication Master 1.0 ID: State Achievement Standards, 2001, Grade 5,313.02
  
    Functions and mathematical Models
The learner will be able to understand the concept of functions.
Strand Bloom's Scope Hours Source
Communication Introduce 1.0 ID: State Achievement Standards, 2001, Grade 5, 313.02
  
    Reasoning: Problems/Identify & Expre
The learner will be able to identify and express problems mathematically by applying reasoning skills.
Strand Bloom's Scope Hours Source
Reasoning Master 0.5 ID: State Achievement Standards, 2001, Grade 5, 308.02
  
    Mathematical Reasoning: Explain
The learner will be able to apply many different methods to describe mathematical reasoning such as words, numbers, symbols, graphical forms, and/or models.
Strand Bloom's Scope Hours Source
Reasoning Master ID: State Achievement Standards, 2001, Grade 5, 308.02
  
    Math Concepts: Choose/Models
The learner will be able to choose and use appropriate models to represent math concepts and obtain problem solutions.
Strand Bloom's Scope Hours Source
Mathematical Concepts Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 308.03.c
  
    Relationships: Describe/Mathematical
The learner will be able to describe relationships involving mathematical concepts and reasoning.
Strand Bloom's Scope Hours Source
Relationships Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 308.02.a
  
    Communicate: State/Ideas/Mathematical
The learner will be able to state mathematical ideas clearly using mathematical language.
Strand Bloom's Scope Hours Source
Communication Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 308.04.b
  
    Communication: Results/Apply Terminology
The learner will be able to communicate results applying suitable terminology and methods.
Strand Bloom's Scope Hours Source
Communication Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 308.02.a,c and 5,308.04a
  
    Modeling: Illustrate/Change
The learner will be able to use models to illustrate change in real world contexts.
Strand Bloom's Scope Hours Source
Mathematical Modeling Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 313.01.c
  
    mathematical Information: Communicate
The learner will be able to use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models to communicate mathematical information.
Strand Bloom's Scope Hours Source
Communication Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5,3 08.03.b
  
    Data: Computer Applications
The learner will be able to use computer applications to display and manipulate data.
Strand Bloom's Scope Hours Source
Communication Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 308.04.a
  

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

    Place Value: Period Patterns
The learner will be able to illustrate and apply a knowledge for whole numbers, decimal place value, and patterns in the period for numbers from thousandths through billions.
Strand Bloom's Scope Hours Source
Place Value Application Master ID: State Achievement Standards, 2001, Grade 5, 307.01.b ISAT
  
    Read & Write Numbers: Decimals/thous
The learner will be able to read & write decimal numbers expressed through the thousandths place.
Strand Bloom's Scope Hours Source
Read Numbers Knowledge Master 1.5 ID: State Achievement Standards, 2001, Grade 5, 307.01.aISAT
  
    Read & Write Numerals: Less Than Bil
The learner will be able to read and write whole numbers less than one billion.
Strand Bloom's Scope Hours Source
Read Numbers Knowledge Master 2.0 ID: State Achievement Standards, 2001, Grade 5, 307.01.aISAT
  
    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 ID: State Achievement Standards, 2001, Grade 5, 308.04.c
  
    Number Forms: Relationships/Investigate
The learner will be able to investigate the relationships between decimals and basic fractions through the thousandths place.
Strand Bloom's Scope Hours Source
Number Forms: Relationships Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 307.01.d; ISAT
  
    Vocabulary: Apply/Appropriate
The learner will be able to apply appropriate vocabulary.
Strand Bloom's Scope Hours Source
Vocabulary Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 307:02.g,03.d; 309.01.g; 311.01.f; 312:01.c,05.b; 313.01.dISAT
  

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

    Numeration: Apply
The learner will be able to understand and apply numbers.
Strand Bloom's Scope Hours Source
Numeration Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 307.01
  
    Estimating: Application
The learner will be able to both estimate and judge the reasonableness of results.
Strand Bloom's Scope Hours Source
Estimation Master ID: State Achievement Standards, 2001, Grade 5, 307.03
  
    Estimation: Appropriate Uses
The learner will be able to identify when estimation is appropriate, and understand the usefulness of an estimate as distinct from an exact answer.
Strand Bloom's Scope Hours Source
Estimation Comprehension Master ID: State Achievement Standards, 2001, Grade 5, 307.03.b
  
    Patterns: Discover/Explain/Generalize
The learner will be able to discover, explain, and continue patterns by using manipulatives and pictorial illustrations.
Strand Bloom's Scope Hours Source
Patterns: Identify/Describe/Continue Application Master ID: State Achievement Standards, 2001, Grade 5, 313.01.b
  
    Patterns: Rules/Continue/Recognize
The learner will be able to continue patterns and recognize a rule that creates the patterns using whole numbers and decimals.
Strand Bloom's Scope Hours Source
Patterns: Determining Rules Comprehension Master ID: State Achievement Standards, 2001, Grade 5, 313.01.a; ISAT
  
    Patterns: Problem Solving
The learner will be able to apply patterns in order to obtain solutions to problems and to represent simple problems.
Strand Bloom's Scope Hours Source
Patterns: Problem Solving Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 313.02.a
  
    Ordering: Decimals
The learner will be able to order numbers with decimals to the thousandths place.
Strand Bloom's Scope Hours Source
Ordering Numbers Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 307.01.a
  
    Estimation: Results
The learner will be able to determine if an estimation is an underestimation or an overestimation.
Strand Bloom's Scope Hours Source
Estimation Application Master 1.0 ID: State Achievement Standards, 2001, Grade 5, 307.03.c