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.

4.1.5 A: Number Sense

4.1.5 A.1: Use real-life experiences, physical materials, and technology to construct meanings for numbers (unless otherwise noted, all indicators for grade 5 pertain to these sets of numbers as well).

4.1.5 A.1.a: All fractions as part of a whole, as subset of a set, as a location on a number line, and as divisions of whole numbers

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
No Alien Left Behind (Division with Remainders)
Toy Factory (Set Models of Fractions)

4.1.5 A.1.b: All decimals

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

4.1.5 A.3: Demonstrate a sense of the relative magnitudes of numbers.

Fraction, Decimal, Percent (Area and Grid Models)

4.1.5 A.4: Use whole numbers, fractions, and decimals to represent equivalent forms of the same number.

Equivalent Fractions (Fraction Tiles)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

4.1.5 A.5: Develop and apply number theory concepts in problem solving situations.

4.1.5 A.5.a: Primes, factors, multiples

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Pattern Flip (Patterns)

4.1.5 A.6: Compare and order numbers.

Comparing and Ordering Decimals
Fraction Garden (Comparing Fractions)

4.1.5 B: Numerical Operations

4.1.5 B.1: Recognize the appropriate use of each arithmetic operation in problem situations.

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)

4.1.5 B.2: Construct, use, and explain procedures for performing addition and subtraction with fractions and decimals with:

4.1.5 B.2.a: Pencil-and-paper

Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

4.1.5 B.2.b: Mental math

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Fractions Greater than One (Fraction Tiles)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

4.1.5 B.3: Use an efficient and accurate pencil-and-paper procedure for division of a 3-digit number by a 2-digit number.

No Alien Left Behind (Division with Remainders)

4.1.5 B.6: Understand and use the various relationships among operations and properties of operations.

Cargo Captain (Multi-digit Subtraction)
Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Order of Operations

4.1.5 C: Estimation

4.1.5 C.1: Use a variety of estimation strategies for both number and computation.

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

4.1.5 C.2: 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)

4.1.5 C.3: Determine the reasonableness of an answer by estimating the result of operations.

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

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

4.2.5 A: Geometric Properties

4.2.5 A.2: Identify, describe, compare, and classify polygons.

4.2.5 A.2.b: Quadrilaterals, including squares, rectangles, parallelograms, trapezoids, rhombi

Classifying Quadrilaterals

4.2.5 A.4: Understand and apply the concepts of congruence and symmetry (line and rotational).

Quilting Bee (Symmetry)
Rock Art (Transformations)

4.2.5 B: Transforming Shapes

4.2.5 B.1: Use a translation, a reflection, or a rotation to map one figure onto another congruent figure.

Rock Art (Transformations)

4.2.5 C: Coordinate Geometry

4.2.5 C.1: Create geometric shapes with specified properties in the first quadrant on a coordinate grid.

City Tour (Coordinates)
Points in the Coordinate Plane

4.2.5 D: Units of Measurement

4.2.5 D.1: Select and use appropriate units to measure angles and area.

Area of Triangles
Fido's Flower Bed (Perimeter and Area)

4.2.5 D.2: Convert measurement units within a system (e.g., 3 feet = ___ inches).

Cannonball Clowns (Number Line Estimation)

4.2.5 D.4: Use measurements and estimates to describe and compare phenomena.

Cannonball Clowns (Number Line Estimation)

4.2.5 E: Measuring Geometric Objects

4.2.5 E.2: Develop and apply strategies and formulas for finding perimeter and area.

4.2.5 E.2.a: Square

Fido's Flower Bed (Perimeter and Area)

4.2.5 E.2.b: Rectangle

Fido's Flower Bed (Perimeter and Area)

4.2.5 E.3: Recognize that rectangles with the same perimeter do not necessarily have the same area and vice versa.

Fido's Flower Bed (Perimeter and Area)

4.2.5 E.4: Develop informal ways of approximating the measures of familiar objects (e.g., use a grid to approximate the area of the bottom of one's foot).

Cannonball Clowns (Number Line Estimation)

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

4.3.5 A: Patterns

4.3.5 A.1: Recognize, describe, extend, and create patterns involving whole numbers.

4.3.5 A.1.a: Descriptions using tables, verbal rules, simple equations, and graphs

Pattern Flip (Patterns)

4.3.5 B: Functions & Relationships

4.3.5 B.1: Describe arithmetic operations as functions, including combining operations and reversing them.

Function Machines 1 (Functions and Tables)
Function Machines 3 (Functions and Problem Solving)

4.3.5 B.2: Graph points satisfying a function from T-charts, from verbal rules, and from simple equations.

Elevator Operator (Line Graphs)
Exponential Functions
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points, Lines, and Equations

4.3.5 C: Modeling

4.3.5 C.2: Draw freehand sketches of graphs that model real phenomena and use such graphs to predict and interpret events.

4.3.5 C.2.b: Rates of change (e.g., when is plant growing slowly/rapidly, when is temperature dropping most rapidly/slowly)

Elevator Operator (Line Graphs)

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.

4.4.5 A: Data Analysis

4.4.5 A.1: Collect, generate, organize, and display data.

4.4.5 A.1.a: Data generated from surveys

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

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

4.4.5 A.2.a: Bar graph, line graph, circle graph, table

Forest Ecosystem
Graphing Skills
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)

4.4.5 A.2.b: Range, median, and mean

Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

4.4.5 B: Probability

4.4.5 B.1: Determine probabilities of events.

4.4.5 B.1.a: Event, probability of an event

Spin the Big Wheel! (Probability)

4.4.5 B.1.b: Probability of certain event is 1 and of impossible event is 0

Spin the Big Wheel! (Probability)

4.4.5 B.2: Determine probability using intuitive, experimental, and theoretical methods (e.g., using model of picking items of different colors from a bag).

4.4.5 B.2.a: Given numbers of various types of items in a bag, what is the probability that an item of one type will be picked

Spin the Big Wheel! (Probability)