21st Century Mathematics

M.O.5.1: 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.5.1.1: read, write, order and compare all whole numbers, fractions, mixed numbers and decimals using multiple strategies (e.g., symbols, manipulatives, number line).

Adding Decimals (Base-10 Blocks)

Adding Fractions (Fraction Tiles)

Comparing and Ordering Decimals

Equivalent Fractions (Fraction Tiles)

Fraction Artist 2 (Area Models of Fractions)

Fraction Garden (Comparing Fractions)

Modeling Decimals (Area and Grid Models)

Modeling Decimals (Base-10 Blocks)

Modeling Fractions (Area Models)

Subtracting Decimals (Base-10 Blocks)

Toy Factory (Set Models of Fractions)

Treasure Hunter (Decimals on the Number Line)

M.O.5.1.5: determine and apply greatest common factor and lowest common multiple to write equivalent fractions and to real-world problem situations.

Adding Fractions (Fraction Tiles)

M.O.5.1.6: model and write equivalencies of fractions, decimals, percents, and ratios.

Fraction, Decimal, Percent (Area and Grid Models)

Modeling Decimals (Area and Grid Models)

M.O.5.1.8: apply the distributive property as it relates to multiplication over addition.

Chocomatic (Multiplication, Arrays, and Area)

M.O.5.1.9: solve multi-digit whole number division problems using a variety of strategies, including the standard algorithm and justify the solutions.

No Alien Left Behind (Division with Remainders)

M.O.5.1.10: demonstrate fluency in addition, subtraction, multiplication and division of whole numbers.

Adding Decimals (Base-10 Blocks)

Cargo Captain (Multi-digit Subtraction)

Critter Count (Modeling Multiplication)

No Alien Left Behind (Division with Remainders)

Number Line Frog Hop (Addition and Subtraction)

Subtracting Decimals (Base-10 Blocks)

Target Sum Card Game (Multi-digit Addition)

M.O.5.2: 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.5.2.2: given an input/output model using two operations, determine the rule, output or input.

Function Machines 1 (Functions and Tables)

M.O.5.2.4: model identify and describe square, prime and composite numbers.

Chocomatic (Multiplication, Arrays, and Area)

Factor Trees (Factoring Numbers)

M.O.5.3: 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.5.3.3: create a design with more than one line of symmetry.

M.O.5.4: 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.5.4.2: model, calculate and compare area of triangles and parallelograms using multiples strategies (including, but not limited to, formulas).

M.O.5.4.3: develop strategies (i.e. finding number of same sized units of volume)to determine the volume of a rectangular prism; solve application problems involving estimating or measuring volume of rectangular prisms.

M.O.5.4.7: collect, record, estimate and calculate elapsed times from real-world situations (with and without technology)

M.O.5.5: 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.5.5.2: construct, read, and interpret tables, charts, and graphs including stem and leaf plots to draw reasonable inferences or verify predictions.

M.O.5.5.3: collect and organize real-world data to construct a circle graph (with and without technology), present data and draw conclusions.

Graphing Skills

Reaction Time 2 (Graphs and Statistics)

M.O.5.5.4: collect and analyze data using mean, median and mode to determine the best statistical measure.

Movie Reviewer (Mean and Median)

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Correlation last revised: 1/20/2017