mvsd
Math Curriculum 01/12/03

Mathematics - Grade 3

Mathematics

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

Grade 3

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

    Algebraic Equations: Solve
The learner will be able to solve algebraic equations and inequalities.
Strand Bloom's Scope Hours Source
Solve Equations Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 290.03.
  
    Algebraic Expressions: Evaluate
The learner will be able to evaluate algebraic expressions.
Strand Bloom's Scope Hours Source
Evaluate Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 290.02
  
    Algebraic Concepts: Symbolism/Apply
The learner will be able to apply algebraic 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 3, 290.01
  
    *Add/Subtract: Recalling Facts to 18
The learner will be able to rapidly recall addition and subtraction facts up to 18.
Strand Bloom's Scope Hours Source
Fact Families Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 287.02.b
  
    Algebraic Concepts: Notation
The learner will be able to illustrate vertical notation in horizontal form.
Strand Bloom's Scope Hours Source
Algebraic Concepts Application Master ID: State Achievement Standards, 2001, Grade 3, 290.01.a
  
    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 Application Master ID: State Achievement Standards, 2001, Grade 3, 287.02.f; ISAT
  
    Number Sentence: Create/Symbol
The learner will be able to create and solve simple addition, subtraction, multiplication, and division problems using a variable to represent an unknown number.
Strand Bloom's Scope Hours Source
Number Sentence Synthesis Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 290.01.b; ISAT
  
    Properties: Apply/Commutative
The learner will be able to explore and apply the commutative property of multiplication.
Strand Bloom's Scope Hours Source
Properties Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 290.02.a; ISAT
  
    Operations: Select/Appropriate
The learner will be able to select appropriate operation(s) for the given problem situation.
Strand Bloom's Scope Hours Source
Operations Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 288.01.b; ISAT
  
    Inverse Operations: Missing Addends
The learner will be able to solve for missing addends using inverse operations.
Strand Bloom's Scope Hours Source
Inverse Operations Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 290.03.a; ISAT
  
    Inverse Operations: Missing Factors
The learner will be able to identify missing factors using inverse operations.
Strand Bloom's Scope Hours Source
Inverse Operations Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 290.03.a; ISAT
  
    Inverse Operations: Multiply/Divide
The learner will be able to explore the inverse operations with multiplication and division.
Strand Bloom's Scope Hours Source
Inverse Operations Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 290.01.d; 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 3, 290.01.c; ISAT
  

Data Analysis/Probability/Statistics

    *Graphs: Interpret
The learner will be able to interpret information presented in graphs including bar graphs, line graphs, pictographs,and circle graphs.
Strand Bloom's Scope Hours Source
Graphing Analysis Master 0.5 ID: State Achievement Standards, 2001, Grade 3, 292.01.a; ISAT
  
    Data Collection and organization
The learner will be able to collect and organize data.
Strand Bloom's Scope Hours Source
Data Collection and Classification Master 0.5 ID: State Achievement Standards, 2001, Grade 3, 292.02 ;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 3, 292.03; 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 3, 292.01.
  
    Data: Predictions/Decisions
The learner will be able to make predictions or decisions based on data.
Strand Bloom's Scope Hours Source
Data: Predictions/Decisions Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 292.04.
  
    Analyzing Graphs: Conclusions
The learner will be able to explain and justify conclusions drawn from tables, charts, and graphs.
Strand Bloom's Scope Hours Source
Analyzing/Evaluating Graphical Forms Application Master ID: State Achievement Standards, 2001, Grade 3, 292.01.b
  
    Charts and Tables: Interpret
The learner will be able to interpret information presented in charts and tables.
Strand Bloom's Scope Hours Source
Tables/Charts Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 292.01.a; ISAT
  
    Charts/Tables: Word Problems
The learner will be able to solve word problems using information displayed on charts and tables.
Strand Bloom's Scope Hours Source
Tables/Charts Analysis Master 1.0 3, 292.02.a; 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 3, 292.02.a; ISAT
  
    Probability: Predictions/Decisions
The learner will be able to make predictions or decisions based on probability results or past experiences.
Strand Bloom's Scope Hours Source
Probability Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 292.04.a; ISAT
  
    Data: Decisions/Make
The learner will be able to make decisions and predictions based upon data.
Strand Bloom's Scope Hours Source
Data Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 288.01.c, 292.04.a; ISAT
  
    Data Display
The learner will be able to collect and display data by using tally marks.
Strand Bloom's Scope Hours Source
Data Display Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 292.02.a; 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.

    Money: Investigate
The learner will be able to use money to understand place value by investigate decimals through hundredths.
Strand Bloom's Scope Hours Source
Money Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 287.01.e; 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: Identify/Concrete
The learner will be able to use physical materials to identify and use common fractions, halves, thirds, and fourths.
Strand Bloom's Scope Hours Source
Fractions Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 287.01.d; ISAT
  
    Fractions: Represent/Concrete
The learner will be able to use physical materials to represent common fractions.
Strand Bloom's Scope Hours Source
Fractions Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 287.01.d ;ISAT
  
    Add/Subtract Fractions
The learner will be able to add and/or subtract fractions with like 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.

    Spatial Relationships: Concepts
The learner will be able to apply concepts of size, shape, and spatial relationships.
Strand Bloom's Scope Hours Source
Spatial Relationships Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 291.01
  
    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: sides, edges, corners, angles.
Strand Bloom's Scope Hours Source
Figures: Attributes Master ID: State Achievement Standards, 2001, Grade 3, 291.01.a ; ISAT
  
    Figures: Use/Shape
The learner will be able to identify and name solid figures: sphere, cone, cube, cylinder, rectangular prism.
Strand Bloom's Scope Hours Source
Figures Application Master 0.5 ID: State Achievement Standards, 2001, Grade 3, 291.01 ; ISAT
  
    Congruency/Symmetry/Similarity:Exploring
The learner will be able to explore concepts of symmetry, congruency, and similarity.
Strand Bloom's Scope Hours Source
Congruence/Similarity/Symmetry Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 291.01.b; ISAT
  
    Geometric Concepts: Distance/Direction
The learner will be able to explore concepts about distance and direction.
Strand Bloom's Scope Hours Source
Geometric Concepts Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 291.02.a
  

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

    Reasoning: Problems/Express
The learner will be able to identify problems mathematically by applying reasoning skills.
Strand Bloom's Scope Hours Source
Reasoning Synthesis Master 0.5 ID: State Achievement Standards, 2001, Grade 3, 288.02
  
    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 3, 288.02.a, 288.04.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 3, 288.02.a
  
    Relationship: Multiplication/Division
The learner will be able to investigate the relationship between multiplication and division by using fact families.
Strand Bloom's Scope Hours Source
Relationships Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 287.02.e
  
    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 3, 288.04.b
  
    Communication: Results/Apply Terminology
The learner will be able to communicate results applying suitable vocabulary and methods.
Strand Bloom's Scope Hours Source
Communication Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 288.04
  
    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 3, 288.03.b
  
    Modeling: Problem Solving
The learner will be able to use appropriate models to obtain problem solutions.
Strand Bloom's Scope Hours Source
Mathematical Modeling Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 288.03 ;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.

    Units: Apply/ Comprehend /Customary/Metr
The learner will be able to apply and comprehend both customary and metric units of measurement.
Strand Bloom's Scope Hours Source
Units Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 289.01; 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 Master ID: State Achievement Standards, 2001, Grade 3, 289.01.a ;ISAT
  
    Problem Solving: Estimate/Tools
The learner will be able to estimate measurement using measurement tools for real world and content problem scenarios using metric and customary unites.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 289.01.b ;ISAT
  
    Time: 5 Minutes/Digital/Analog
The learner will be able to determine time to the nearest five minutes using digital and analog clocks.
Strand Bloom's Scope Hours Source
Time Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 289.01.e
  
    Time: Explore/Relationships/Units
The learner will be able to explore the relationships among the different units of time.
Strand Bloom's Scope Hours Source
Time Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 289.01.f; ISAT
  
    Money: Counting/Coins and Bills
The learner will be able to count the value of a collection of coins and bills with a value of up to $10.00.
Strand Bloom's Scope Hours Source
Money Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 287.01.c ;ISAT
  
    Perimeter: Explore/Real World
The learner will be able to explore and determine perimeter in real world scenarios.
Strand Bloom's Scope Hours Source
Perimeter Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 291.01.c ;ISAT
  
    Measurement Relationships: Investigate
The learner will be able to investigate relationships within the U.S. Customary measurement system.
Strand Bloom's Scope Hours Source
Measurement: Relationships Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 289.01.c; ISAT
  
    Measurement Relationships: Investigate
The learner will be able to investigate relationships within the metric measurement system.
Strand Bloom's Scope Hours Source
Measurement: Relationships Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 289.01.d; ISAT
  
    Time: AM/PM
The learner will be able to tell the difference between AM and PM times in a real world context.
Strand Bloom's Scope Hours Source
Time Analysis Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 289.01.g
  
    Area/Perimeter: Understand
The learner will be able to find the area of a polygon by counting square units and the perimeter of a polygon by adding the sides.
Strand Bloom's Scope Hours Source
Perimeter/Area/Volume Comprehension Master 1.5 ID: State Achievement Standards, 2001, Grade 3, 291.01.c ;ISAT
  
    Money: Add/Subtract
The learner will be able to perform addition and subtraction with money values.
Strand Bloom's Scope Hours Source
Money Application Master 1.5 ID: State Achievement Standards, 2001, Grade 3, 287.01.e ;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.

    Numbers: Understand
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 3, 287.01
  
    Place Value: Less Than 10,000
The learner will be able to demonstrate an understanding of place value for numbers less than 10,000.
Strand Bloom's Scope Hours Source
Place Value Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 287.01.b; ISAT
  
    Vocabulary: Understand/Appropriate
The learner will be able to apply appropriate vocabulary.
Strand Bloom's Scope Hours Source
Vocabulary Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 287.01.f, 292.01.c, 292.04.b, 293.01.c ;ISAT
  
    Divisibility: Apply/Rules
The learner will be able to the learner will be able to explore the relationship between multiplication and division.
Strand Bloom's Scope Hours Source
Divisibility Application Master 0.5 ID: State Achievement Standards, 2001, Grade 3, 2876.02.e;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 3, 287.03
  
    Computing
The learner will be able to correctly perform various computations.
Strand Bloom's Scope Hours Source
Computing/Estimating Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 287.02; ISAT
  
    Comparison: Ordering Whole Numbers
The learner will be able to make comparisons between and/or place in order whole numbers less than 10,000.
Strand Bloom's Scope Hours Source
Comparison Master ID: State Achievement Standards, 2001, Grade 3, 287.01.a; ISAT
  
    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 Master ID: State Achievement Standards, 2001, Grade 3, 293.01.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 3, 287.03.a
  
    Patterns: Rules/Recognize
The learner will be able to identify rules which govern patterns and use skip counting to extend patterns.
Strand Bloom's Scope Hours Source
Patterns: Determining Rules Comprehension Master 0.5 ID: State Achievement Standards, 2001, Grade 3, 293.01.a,b; ISAT
  
    Estimate/Problems: Word Problems
The learner will be able to estimate solutions to word problems involving whole numbers.
Strand Bloom's Scope Hours Source
Estimate/Problems Application Master 1.0 ISAT
  
    Rounding/Estimation: Whole Numbers
The learner will be able to round whole numbers to the nearest ten, hundred and use this method to estimate solutions to problems involving whole numbers.
Strand Bloom's Scope Hours Source
Rounding Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 287.03.a ;ISAT
  
    Quantity: Associate/Number Words
The learner will be able to associate number words to the quantities they represent to 10,000.
Strand Bloom's Scope Hours Source
Quantity Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 287.01.a ; ISAT
  
    Patterns: Rules
The learner will be able to understand the rule or function that creates the pattern.
Strand Bloom's Scope Hours Source
Change Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 293.01
  

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

    Strategies: Solving Skills/Comprehend
The learner will be able to understand and use various problem solving skills.
Strand Bloom's Scope Hours Source
Strategies Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 288.01; ISAT
  
    Solution: Reasonableness
The learner will be able to evaluate the reasonableness of a given solution.
Strand Bloom's Scope Hours Source
Solution Evaluation Master 1.5 ID: State Achievement Standards, 2001, Grade 3, 287.03.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 3, 288.01.a;ISAT
  
    Strategies: Use
The learner will be able to use a variety of strategies to solve multiple step problems including word problems.
Strand Bloom's Scope Hours Source
Strategies Application Master 1.5 ID: State Achievement Standards, 2001, Grade 3, 288.01;ISAT
  
    Word Problems: Operations
The learner will be able to obtain solutions to elementary word problems involving addition and subtraction with whole numbers, decimals, and fractions with like denominators.
Strand Bloom's Scope Hours Source
Word Problems Application Master 1.5 ISAT
  
    Strategies: Communicate Information
The learner will be able to use a variety of methods such as words, numbers, symbols, charts, graphs, tables, diagrams, and models to explain and communicate mathematical information using appropriate vocabulary.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 288.02.a; 288.04.a; 288.04.b; ISAT
  

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

    Graphing: Two Dimensions/Apply
The learner will be able to use graphing in two dimensions including plotting ordered pairs.
Strand Bloom's Scope Hours Source
Graphing Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 291.02.a; ISAT
  

Technology
The Technology Unit includes studying computer hardware and software, uses for calculators, and applications of technology in problem solving.

    Problem Solving: Technology
The learner will be able to solve problems using technology.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 288.03
  

Whole Numbers
The Whole Numbers Unit includes performing operations with whole numbers, using manipulatives to demonstrate whole number concepts, and solving problems with whole numbers in real-world contexts.

    Add 3 Numbers: 1-2 Digits
The learner will be able to add 3 numbers with 1-2 digits.
Strand Bloom's Scope Hours Source
Add Whole Numbers Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 287.02.c; ISAT
  
    Add/Subtract: 3 Digits/No Regrouping
The learner will be able to perform addition and subtraction of up to three-digit numbers without regrouping.
Strand Bloom's Scope Hours Source
Add/Subtract Whole Numbers Application Master 2.0 ID: State Achievement Standards, 2001, Grade 3, 287.02.a ;ISAT
  
    Add/Subtract Whole Numbers/Regrouping
The learner will be able to perform addition and subtraction of whole numbers with regrouping whose sum is less than 1,000.
Strand Bloom's Scope Hours Source
Add/Subtract Whole Numbers Application Master 1.0 ID: State Achievement Standards, 2001, Grade 3, 287.02.a; ISAT
  
    Multiply: 10 x 10
The learner will be able to perform the multiplication of whole numbers through 10 x 10.
Strand Bloom's Scope Hours Source
Multiply Whole Numbers Application Maste