M.O.3.1: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of numbers, ways of representing numbers, and relationships among numbers and number systems, demonstrate meanings of operations and how they relate to one another, and compute fluently and make reasonable estimates.

M.O.3.1.1: read, write, order, and compare numbers to 10,000 using a variety of strategies (e.g., symbols, manipulatives, number line).

Fraction Garden (Comparing Fractions)
Treasure Hunter (Decimals on the Number Line)

M.O.3.1.2: read, write, order, and compare decimals to hundredths, with manipulatives.

Treasure Hunter (Decimals on the Number Line)

M.O.3.1.3: identify place value of each digit utilizing standard and expanded form to 10,000.

Cannonball Clowns (Number Line Estimation)

M.O.3.1.5: demonstrate an understanding of fractions as part of a whole/one and as part of a set/group using models and pictorial representations.

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)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

M.O.3.1.7: use concrete models and pictorial representations to demonstrate an understanding of equivalent fractions, proper and improper fractions, and mixed numbers.

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

M.O.3.1.8: add and subtract 2- and 3-digit whole numbers and money with and without regrouping.

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)
Target Sum Card Game (Multi-digit Addition)

M.O.3.1.9: demonstrate and model multiplication (repeated addition, arrays) and division (repeated subtraction, partitioning).

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)

M.O.3.1.10: use and explain the operations of multiplication and division including the properties (e.g., identity element of multiplication, commutative property, property of zero, associative property, inverse operations).

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Function Machines 3 (Functions and Problem Solving)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)
Pattern Flip (Patterns)

M.O.3.1.11: recall basic multiplication facts and the corresponding division facts.

Critter Count (Modeling Multiplication)

M.O.3.1.12: model the distributive property in multiplication of 2- and 3-digit numbers by a 1-digit number.

Chocomatic (Multiplication, Arrays, and Area)

M.O.3.1.13: use models to demonstrate division of 2- and 3-digit numbers by a 1-digit number.

No Alien Left Behind (Division with Remainders)

M.O.3.2: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of patterns, relations and functions, represent and analyze mathematical situations and structures using algebraic symbols, use mathematical models to represent and understand quantitative relationships, and analyze change in various contexts.

M.O.3.2.1: analyze and extend geometric and numeric patterns.

Function Machines 1 (Functions and Tables)
Pattern Flip (Patterns)

M.O.3.2.2: create an input/output model using addition, subtraction, multiplication or division.

Function Machines 1 (Functions and Tables)

M.O.3.3: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships, specify locations and describe spatial relationships using coordinate geometry and other representational systems, apply transformations and use symmetry to analyze mathematical situations, and solve problems using visualization, spatial reasoning, and geometric modeling.

M.O.3.3.4: identify, describe and draw lines of symmetry in two-dimensional shapes.

Quilting Bee (Symmetry)

M.O.3.3.7: name the location of a point on a first-quadrant grid, represent using ordered pairs.

City Tour (Coordinates)

M.O.3.4: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of measurable attributes of objects and the units, systems, and processes of measurement, and apply appropriate techniques, tools and formulas to determine measurements.

M.O.3.4.1: Within a project based investigation, identify a real life situation, consider a number of variables and use appropriate measurement tools, overtime, make a hypothesis as to the change overtime; with more precision than whole units;

M.O.3.4.1.a: length in centimeters and inches,

Cannonball Clowns (Number Line Estimation)
Measuring Trees

M.O.3.4.2: estimate and find the perimeter and area of familiar geometric shapes, using manipulatives, grids, or appropriate measuring tools.

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

M.O.3.4.4: read time to 5-minute intervals (am and pm) using analog and digital clocks, compute elapsed time to the quarter-hour using a clock.

Elapsed Time

M.O.3.5: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them, select and use appropriate statistical methods to analyze data, develop and evaluate inferences and predictions that are based on models, and apply and demonstrate an understanding of basic concepts of probability.

M.O.3.5.1: collect and organize grade-appropriate real-world data from observation, surveys, and experiments, and identify and construct appropriate ways to display data.

Graphing Skills
Reaction Time 2 (Graphs and Statistics)

M.O.3.5.2: develop and conduct grade-appropriate experiments using concrete objects (e.g. counters, number cubes, spinners) to determine the likeliness of events and list all outcomes.

Spin the Big Wheel! (Probability)

M.O.3.5.3: analyze real-world data represented on a graph using grade-appropriate questions.

Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram