4.1: All students will develop number sense and will perform standard numerical operations and estimations on all types of numbers in a variety of ways.

4.1.3 A: Number Sense

4.1.3 A.1: Use real-life experiences, physical materials, and technology to construct meanings for numbers (unless otherwise noted, all indicators for grade 3 pertain to these sets of numbers as well).

4.1.3 A.1.a: Whole numbers through hundred thousands

Modeling Whole Numbers and Decimals (Base-10 Blocks)

4.1.3 A.1.b: Commonly used fractions (denominators of 2, 3, 4, 5, 6, 8, 10) as part of a whole, as a subset of a set, and as a location on a number line

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

4.1.3 A.2: Demonstrate an understanding of whole number place value concepts.

Cannonball Clowns (Number Line Estimation)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Rounding Whole Numbers (Number Line)
Target Sum Card Game (Multi-digit Addition)

4.1.3 A.4: Explore the extension of the place value system to decimals through hundredths.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

4.1.3 A.6: Compare and order numbers.

Modeling Whole Numbers and Decimals (Base-10 Blocks)

4.1.3 B: Numerical Operations

4.1.3 B.1: Develop the meanings of the four basic arithmetic operations by modeling and discussing a large variety of problems.

4.1.3 B.1.a: Addition and subtraction: joining, separating, comparing

Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)

4.1.3 B.1.b: Multiplication: repeated addition, area/array

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)

4.1.3 B.1.c: Division: repeated subtraction, sharing

No Alien Left Behind (Division with Remainders)

4.1.3 B.2: Develop proficiency with basic multiplication and division number facts using a variety of fact strategies (such as "skip counting" and "repeated subtraction").

Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)

4.1.3 B.3: Construct, use, and explain procedures for performing whole number calculations with:

4.1.3 B.3.a: Pencil-and-paper

Equivalent Fractions (Fraction Tiles)

4.1.3 B.3.b: Mental math

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

4.1.3 B.4: Use efficient and accurate pencil-and-paper procedures for computation with whole numbers.

4.1.3 B.4.c: Multiplication of 2-digit numbers by 1-digit numbers

Critter Count (Modeling Multiplication)

4.1.3 B.7: Check the reasonableness of results of computations.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

4.1.3 C: Estimation

4.1.3 C.2: Construct and use a variety of estimation strategies (e.g., rounding and mental math) for estimating both quantities and the result of computations.

Cannonball Clowns (Number Line Estimation)
Rounding Whole Numbers (Number Line)

4.1.3 C.3: Recognize when an estimate is appropriate, and understand the usefulness of an estimate as distinct from an exact answer.

Cannonball Clowns (Number Line Estimation)
Multiplying Decimals (Area Model)

4.1.3 C.4: Use estimation to determine whether the result of a computation (either by calculator or by hand) is reasonable.

Cannonball Clowns (Number Line Estimation)
Multiplying Decimals (Area Model)

4.2: All students will develop spatial sense and the ability to use geometric properties, relationships, and measurement to model, describe and analyze phenomena.

4.2.3 A: Geometric Properties

4.2.3 A.2: Use properties of standard three-dimensional and two-dimensional shapes to identify, classify, and describe them.

4.2.3 A.2.b: 3D figures - cube, rectangular prism, sphere, cone, cylinder, and pyramid

Pyramids and Cones

4.2.3 A.2.c: 2D figures - square, rectangle, circle, triangle, pentagon, hexagon, octagon

Classifying Quadrilaterals

4.2.3 A.3: Identify and describe relationships among two-dimensional shapes.

4.2.3 A.3.b: Lines of symmetry

Quilting Bee (Symmetry)
Rock Art (Transformations)

4.2.3 A.4: Understand and apply concepts involving lines, angles, and circles.

4.2.3 A.4.a: Line, line segment, endpoint

Elevator Operator (Line Graphs)

4.2.3 A.5: Recognize, describe, extend, and create space-filling patterns.

Pattern Finder
Pattern Flip (Patterns)

4.2.3 B: Transforming Shapes

4.2.3 B.1: Describe and use geometric transformations (slide, flip, turn).

Rock Art (Transformations)

4.2.3 C: Coordinate Geometry

4.2.3 C.1: Locate and name points in the first quadrant on a coordinate grid.

City Tour (Coordinates)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)

4.2.3 D: Units of Measurement

4.2.3 D.2: Select and use appropriate standard units of measure and measurement tools to solve real-life problems.

4.2.3 D.2.a: Length - fractions of an inch (1/4, 1/2), mile, decimeter, kilometer

Measuring Trees

4.2.3 D.2.b: Area - square inch, square centimeter

Fido's Flower Bed (Perimeter and Area)

4.2.3 D.3: Incorporate estimation in measurement activities (e.g., estimate before measuring).

Cannonball Clowns (Number Line Estimation)

4.2.3 E: Measuring Geometric Objects

4.2.3 E.1: Determine the area of simple two-dimensional shapes on a square grid.

Balancing Blocks (Volume)
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

4.2.3 E.3: Measure and compare the volume of three-dimensional objects using materials such as rice or cubes.

Balancing Blocks (Volume)
Pyramids and Cones

4.3: All students will represent and analyze relationships among variable quantities and solve problems involving patterns, functions, and algebraic concepts and processes.

4.3.3 A: Patterns

4.3.3 A.1: Recognize, describe, extend, and create patterns.

4.3.3 A.1.b: Whole number patterns that grow or shrink as a result of repeatedly adding, subtracting, multiplying by, or dividing by a fixed number (e.g., 5, 8, 11,... or 800, 400, 200,...)

Pattern Flip (Patterns)

4.3.3 B: Functions and Relationships

4.3.3 B.1: Use concrete and pictorial models to explore the basic concept of a function.

4.3.3 B.1.a: Input/output tables, T-charts

Function Machines 1 (Functions and Tables)

4.3.3 C: Modeling

4.3.3 C.2: Construct and solve simple open sentences involving addition or subtraction (e.g., 3 + 6 = __, n = 15 - 3, 3 +__= 3, 16 - c = 7).

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

4.3.3 D: Procedures

4.3.3 D.1: Understand and apply the properties of operations and numbers.

4.3.3 D.1.a: Commutative (e.g., 3 x 7 = 7 x 3)

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

4.4: All students will develop an understanding of the concepts and techniques of data analysis, probability, and discrete mathematics, and will use them to model situations, solve problems, and analyze and draw appropriate inferences from data.

4.4.3 A: Data Analysis

4.4.3 A.1: Collect, generate, organize, and display data in response to questions, claims, or curiosity.

4.4.3 A.1.a: Data collected from the classroom environment

Graphing Skills

4.4.3 A.2: Read, interpret, construct, analyze, generate questions about, and draw inferences from displays of data.

4.4.3 A.2.a: Pictograph, bar graph, table

Forest Ecosystem
Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

4.4.3 B: Probability

4.4.3 B.1: Use everyday events and chance devices, such as dice, coins, and unevenly divided spinners, to explore concepts of probability.

4.4.3 B.1.a: Likely, unlikely, certain, impossible

Spin the Big Wheel! (Probability)

4.4.3 B.1.b: More likely, less likely, equally likely

Spin the Big Wheel! (Probability)