mvsd
Math Curriculum 01/12/03

Mathematics - Grade 4

Mathematics

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

Grade 4

The Idaho State Achievement Standards for Mathematics provides skills for fourth 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.

    Vocabulary: New
The learner will be able to understand and use new vocabulary: input, output, table, associative, equation.
Strand Bloom's Scope Hours Source
Vocabulary Comprehension Master 1.0 ISAT
  
    Algebraic Expressions: Evaluate
The learner will be able to evaluate algebraic expressions.
Strand Bloom's Scope Hours Source
Algebraic Expressions Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 300.02
  
    Algebraic Concepts: Symbolism
The learner will be able to use algebric symbolism as a tool to represent mathematical relationships.
Strand Bloom's Scope Hours Source
Algebraic Concepts Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 300.01
  
    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 4, 300.03; ISAT
  
    Computation: Choose/Apply
The learner will be able to choose and apply an appropriate strategy for computation from mental math, paper and pencil, calculator, or a combination of the three.
Strand Bloom's Scope Hours Source
Computation Master ID: State Achievement Standards, 2001, Grade 4, 297.02.f; ISAT
  
    Number Sentence: Create/Symbol
The learner will be able to create a number sentence using symbols to represent an unknown number.
Strand Bloom's Scope Hours Source
Number Sentence Synthesis Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 300.01.b; ISAT
  
    Facts: Recall/Multiplication
The learner will be able to recall multiplication facts through tens.
Strand Bloom's Scope Hours Source
Fact Families Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 297.02.e; ISAT
  
    Properties: Apply/Commutative
The learner will be able to apply the commutative property of multiplication and addition.
Strand Bloom's Scope Hours Source
Properties Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 300.02.a; ISAT
  
    Operations: Use
The learner will be able to select and use appropriate operations of addition, subtraction, multiplication, and division.
Strand Bloom's Scope Hours Source
Operations Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 298.01.b; ISAT
  
    Inverse Operations: Missing Factors
The learner will be able to solve for missing whole numbers using inverse operations.
Strand Bloom's Scope Hours Source
Inverse Operations Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 300.03.a; 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 4, 300.01.c; ISAT
  
    Facts: Recall/Division
The learner will be able to recall basic division facts through tens.
Strand Bloom's Scope Hours Source
Fact Families Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 297.02.e; ISAT
  

Data Analysis/Probability/Statistics

    Vocabulary: New
The learner will be able to understand and use new vocabulary: least often, how many ways, ordered pairs, coordinates, distance formula, dice, arranged, highest mean.
Strand Bloom's Scope Hours Source
Vocabulary Master 1.0 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 4, 302.04; ISAT
  
    Data: Decisions/Make
The learner will be able to determine decisions based upon data.
Strand Bloom's Scope Hours Source
Data Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 302.05; 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 Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 302.05; ISAT
  
    Statistics: Simple/Use
The learner will be able to understand simple statistical measurements.
Strand Bloom's Scope Hours Source
Statistics Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 302.03; ISAT
  
    Tables: Read and Interpret
The learner will be able to read data and make interpretations of tables.
Strand Bloom's Scope Hours Source
Tables/Charts Analysis Master 0.5 ID: State Achievement Standards, 2001, Grade 4, 302.01.a; ISAT
  
    Charts: Read and Interpret
The learner will be able to read and interpret information presented in a chart.
Strand Bloom's Scope Hours Source
Tables/Charts Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 302.01.a; ISAT
  
    Graphs: Read and Interpret
The learner will be able to read and interpret information presented in graphs.
Strand Bloom's Scope Hours Source
Graphing Analysis Master 0.5 ID: State Achievement Standards, 2001, Grade 4, 302.01.a; ISAT
  
    Data Collection
The learner will be able to collect, order, and display data in tables, charts, and graphs.
Strand Bloom's Scope Hours Source
Data Collection and Classification Comprehension Master 0.5 ID: State Achievement Standards, 2001, Grade 4, 302.02; ISAT
  
    Statistical Analysis: Answer/Test
The learner will be able to gather, organize, and present data in tables, charts, or graphs in order to answer questions or test hypotheses.
Strand Bloom's Scope Hours Source
Statistical Analysis Application Master ID: State Achievement Standards, 2001, Grade 4, 302.02.a; ISAT
  
    Mean: Find
The learner will be able to find the mean (average) for a whole number set of data.
Strand Bloom's Scope Hours Source
Average/Median/Mode/Range Application Master 0.5 ID: State Achievement Standards, 2001, Grade 4, 302.03.a; 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 4, 302.04.a; 302.05.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 4, 302.04.a; ISAT
  
    Experiments: Carry-Out
The learner will be able to perform basic probability experiments.
Strand Bloom's Scope Hours Source
Experiments Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 302.04.a; ISAT
  
    Data Display
The learner will be able to display data.
Strand Bloom's Scope Hours Source
Data Display Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 302.02.a; ISAT
  
    Data Analysis: Understand
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 4, 302.01
  

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.

    Money: Understand/Decimal Notation
The learner will be able to understand the decimal notation of money through hundredths.
Strand Bloom's Scope Hours Source
Money Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 297.01.e; ISAT
  
    Money: Addition and Subtraction
The learner will be able to apply money to add and subtract decimals.
Strand Bloom's Scope Hours Source
Money Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 297.02.d; ISAT
  
    Compare & Order Decimals: Through hu
The learner will be able to compare and order decimal numbers through hundredths.
Strand Bloom's Scope Hours Source
Compare Decimals Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 297.01.a
  
    Money: Multiplication and Division
The learner will be able to apply money to multiply and divide decimals by a whole number.
Strand Bloom's Scope Hours Source
Money Application Master 1.0 ISAT
  

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: Represent/Compare
The learner will be able to use concrete materials to recognize, represent,and compare commonly used fractions.
Strand Bloom's Scope Hours Source
Fractions Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 297.01.d
  
    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 4, 297.01.a; ISAT
  
    Add/Subtract Fractions: Like Denominator
The learner will be able to display proficiency in the addition and subtraction of fractions possessing like denominators.
Strand Bloom's Scope Hours Source
Add/Subtract Fractions Application Master 1.5 ID: State Achievement Standards, 2001, Grade 4, 297.02.c; ISAT
  
    Add/Subtract: Mixed Numbers
The learner will be able to perform addition and subtraction of mixed numbers with common denominators.
Strand Bloom's Scope Hours Source
Add/Subtract Fractions Application Master 1.0 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.

    Vocabulary: New
The learner will be able to understand and use new vocabulary: symmetrical, perpendicular, ray, vertex, rotation, triangular prism, corresponding parts, supplementary, acute angle, transformation.
Strand Bloom's Scope Hours Source
Vocabulary Comprehension Master 1.0 ISAT
  
    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 Master ID: State Achievement Standards, 2001, Grade 4, 301.01; ISAT
  
    Graphing: Two Dimensions
The learner will be able to apply graphing in two dimensions.
Strand Bloom's Scope Hours Source
Graphing Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 301.02
  
    Geometric Concepts: Distance/Direction
The learner will be able to apply concepts about distance and direction by plotting points on a coordinate plane.
Strand Bloom's Scope Hours Source
Geometric Concepts Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 301.02.a
  
    Reasoning: Problems/Express
The learner will be able to identify and express problems mathematically by applying reasoning skills.
Strand Bloom's Scope Hours Source
Reasoning Synthesis Master 0.5 ID: State Achievement Standards, 2001, Grade 4, 298.02.a
  
    Properties: Investigate
The learner will be able to investigate relationships among properties of figures, including congruence, similarity, and symmetry.
Strand Bloom's Scope Hours Source
Properties of Figures Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 301.01.b; ISAT
  
    Geometry: Drawing Figures
The learner will be able to solve geometry problems by making a drawing or diagram.
Strand Bloom's Scope Hours Source
Acute/Right/Obtuse Angles Application Master 0.5 ID: State Achievement Standards, 2001, Grade 4, 301.01.a; 301.01.c
  
    Identify Polygons
The learner will be able to identify triangles, quadrilaterals, pentagons, and octagons.
Strand Bloom's Scope Hours Source
Polygons Synthesis Master 1.0 ISAT
  

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

    Problem Solving: Express
The learner will be able to use reasoning skills to recognize problems and express them mathematically.
Strand Bloom's Scope Hours Source
Problem Solving Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 298.02
  
    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 Application Master ID: State Achievement Standards, 2001, Grade 4, 298.02.a, 298.04.a
  
    Relationships: Describe/Mathematical
The learner will be able to describe relationships involving mathematical concepts.
Strand Bloom's Scope Hours Source
Relationships Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 298.02.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 4, 298.04.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 4, 298.04
  
    Mathematical Modeling: Choose/Concepts
The learner will be able to choose the appropriate models to illustrate mathematical concepts.
Strand Bloom's Scope Hours Source
Mathematical Modeling Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 298.03.b; ISAT
  
    Modeling: Problem Solving
The learner will be able to use appropriate models and technology to obtain problem solutions.
Strand Bloom's Scope Hours Source
Mathematical Modeling Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 298.03; ISAT
  

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.

    Vocabulary: New
The learner will be able to understand and use new vocabulary.
Strand Bloom's Scope Hours Source
Vocabulary Comprehension Master 1.0 ISAT
  
    Area: Select/Apply/Units/Tools/Measure
The learner will be able to select and apply suitable units and tools to measure the area in both U.S. Customary and metric measurement systems.
Strand Bloom's Scope Hours Source
Area Master ID: State Achievement Standards, 2001, Grade 4, 299.01; ISAT
  
    Measurement: Select/Apply/Units/Tools
The learner will be able to select and apply suitable units and tools to measure (time, length, temperature, perimeter) in both U.S. Customary and metric measurement systems.
Strand Bloom's Scope Hours Source
Measurement: Application Application Master ID: State Achievement Standards, 2001, Grade 4, 299.01.a; ISAT
  
    Units: Comprehend
The learner will be able to comprehend both customary and metric units of measurement.
Strand Bloom's Scope Hours Source
Units Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 299.01.a; ISAT
  
    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 Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 299.01.b; 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 4, 299.01.b; ISAT
  
    Time: Minute
The learner will be able to tell time to the minute using both digital and analog clocks.
Strand Bloom's Scope Hours Source
Time Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 299.01.e; ISAT
  
    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 4, 299.01.f; ISAT
  
    Money: Count/Value To $100.00
The learner will be able to count the value of a collection of coins and bills up to $100.00.
Strand Bloom's Scope Hours Source
Money Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 297.01.c; ISAT
  
    Perimeter: Square, Triangle, & Recta
The learner will be able to find the perimeter of a square, triangle, and rectangle.
Strand Bloom's Scope Hours Source
Perimeter Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 301.01.c; ISAT
  
    Area of a Rectangle & Square: Find
The learner will be able to determine the area of a rectangle and square.
Strand Bloom's Scope Hours Source
Area of a Rectangle Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 301.01.c
  
    Measurement Relationships: Customary
The learner will be able to apply a comprehension of the relationships within the U.S. Customary measurement system.
Strand Bloom's Scope Hours Source
Measurement: Relationships Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 299.01.c
  
    Measurement Relationships: Metric
The learner will be able to apply a comprehension of the relationships within the metric measurement system.
Strand Bloom's Scope Hours Source
Measurement: Relationships Application Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 299.01.d
  
    Money: Rounding/Hundredths
The learner will be able to round money amounts to the nearest dollar.
Strand Bloom's Scope Hours Source
Money Application Master 1.0 ISAT
  

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 hundredths to millions.
Strand Bloom's Scope Hours Source
Place Value Application Master ID: State Achievement Standards, 2001, Grade 4, 297.01.b; ISAT
  
    Read & Write Numbers: Decimals/Hundr
The learner will be able to read and write decimal numbers through hundredths in words and digits.
Strand Bloom's Scope Hours Source
Read Numbers Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 297.01.a; ISAT
  
    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 4, 298.04.c; 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 4, 297.1.f; 297.02.g; 297.03.c; 299.01.g; 301.01.e; 302.01.c, 302.05.b; 303.01.c; ISAT
  
    Roman Numerals: Identify/Write/To 1000
The learner will be able to recognize and write Roman numeral instruction based on District standards.
Strand Bloom's Scope Hours Source
Roman Numerals Knowledge Master 1.0 ISAT
  
    Rounding: Hundredths/Millions
The learner will be able to round numbers to the nearest hundredths and millions.
Strand Bloom's Scope Hours Source
Rounding Comprehension Master 1.0 District Expectation
  
    Vocabulary: New
The learner will be able to understand and use new vocabulary: thirds, fourths, rounded, thousands, exponential form, mixed number, improper fraction, lowest common denominator, percent, expanded form, prime, factor, proportion.
Strand Bloom's Scope Hours Source
Number Sense Comprehension Master 1.0 ISAT
  

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

    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 4, 297.03
  
    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 Comprehension Master ID: State Achievement Standards, 2001, Grade 4, 303.01.b; ISAT
  
    Computing/Estimating: Predict
The learner will be able to estimate in order to predict the results of computations.
Strand Bloom's Scope Hours Source
Computing/Estimating Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 4, 297.03.a; ISAT
  
    Numeration: Numbers/Comprehend & App
The learner will be able to comprehend and apply numbers through millions.
Strand Bloom's Scope Hours Source
Numeration Comprehension Master 0.5 ID: State Achievement Standards, 2001, Grade 4, 297.01.b; ISAT
  
    Patterns: Extend
The learner will be able to extend patterns.
Strand Bloom's Scope Hours Source
Patterns: Identify/Describe/Continue Synthesis Master 1.5 ID: State Achievement Standards, 2001, Grade 4, 303.01.a; ISAT
  
    Patterns: Rules/Recognize
The learner will be able to identify rules which govern patterns.
Strand Bloom's Scope Hours Source
Patterns: Determining Rules Comprehension Master 0.5 ID: State Achievement Standards, 2001, Grade 4, 303.01.a; ISAT
  
    Functions
The learner will be able to understand the concept of functions.
Strand Bloom's Scope Hours Source
Functions Knowledge Master 1.0 District Expectation
  

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

    Solution: Reasonableness
The learner will be able to determine if a given solution is reasonable.
Strand Bloom's Scope Hours Source
Solution Evaluation Master 1.5 ID: State Achievement Standards, 2001, Grade 4, 297.03.b; ISAT
  
    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, Grade 4, 298.01.a; ISAT
  
    Strategies: Use
The learner will be able to use a variety of strategies to solve problems.
Strand Bloom's Scope