MA.5.NPO: Number Properties and Operations

MA.5.NPO.U: Enduring Knowledge - Understandings

MA.5.NPO.U.1: numbers, ways of representing numbers, relationships between numbers and number systems are means of representing real-world quantities.

Fraction, Decimal, Percent (Area and Grid Models)

MA.5.NPO.S.NS: Skills and Concepts - Number Sense

MA.5.NPO.S.NS.1: read, write, model, order, compare (using relative magnitude) and apply multiple representations of whole numbers

Equivalent Fractions (Fraction Tiles)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

MA.5.NPO.S.NS.2: compare and apply the relative sizes of common and mixed fractions

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

MA.5.NPO.S.NS.3: investigate multiple representations of equivalent fractions (e.g., 1/2 = 3/6, 1 1/2 = 3/2) with manipulatives, drawings and fractional notation

Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

MA.5.NPO.S.NS.6: read, write, identify and compare decimals through ten-thousandths

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

MA.5.NPO.S.E: Skills and Concepts - Estimation

MA.5.NPO.S.E.1: explore appropriate estimation procedures for different situations

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

MA.5.NPO.S.NO: Skills and Concepts - Number Operations

MA.5.NPO.S.NO.1: develop and apply computational procedures to add, subtract, multiply and divide whole numbers using basic facts and technology as appropriate

Critter Count (Modeling Multiplication)

MA.5.NPO.S.NO.2: add and subtract fractions with common denominators using manipulatives or symbolic notation

Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)

MA.5.NPO.S.NO.4: extend multiplication to include one decimal place

Multiplying Decimals (Area Model)

MA.5.NPO.S.NO.5: explore the effects of operations on numbers

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)

MA.5.NPO.S.PNO: Skills and Concepts - Properties of Numbers and Operations

MA.5.NPO.S.PNO.1: use factors to determine prime and composite numbers

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

MA.5.NPO.S.PNO.2: determine least common multiples

Pattern Flip (Patterns)

MA.5.NPO.S.PNO.3: skip-count forwards and backwards with fluency

Chocomatic (Multiplication, Arrays, and Area)

MA.5.M: Measurement

MA.5.M.S.MPA: Skills and Concepts - Measuring Physical Attributes

MA.5.M.S.MPA.3: apply standard units of measure to length, weight, temperature and liquid capacity

Cannonball Clowns (Number Line Estimation)

MA.5.M.S.MPA.4: choose and use appropriate tools (e.g., protractor, angle ruler, meter stick, ruler) for measurement tasks

Measuring Trees

MA.5.M.S.MPA.6: use standard units to determine area and perimeter of triangles and rectangles and volume of rectangular prisms and apply these skills to solve real-world and mathematical problems

Fido's Flower Bed (Perimeter and Area)

MA.5.M.S.MPA.7: estimate weight, length, perimeter, area and angles using appropriate units of measurement

Area of Triangles
Cannonball Clowns (Number Line Estimation)
Fido's Flower Bed (Perimeter and Area)

MA.5.M.S.SM: Skills and Concepts - Systems of Measurement

MA.5.M.S.SM.1: relate and convert units (e.g., linear, volume, weight) within a measurement system (e.g., 125 cm = 1m 25 cm)

Cannonball Clowns (Number Line Estimation)

MA.5.M.S.SM.3: convert units of time and determine elapsed time

Elapsed Time

MA.5.G: Geometry

MA.5.G.U: Enduring Knowledge - Understandings

MA.5.G.U.2: representational systems, including coordinate geometry, are means for specifying locations and describing spatial relationships and are organizers for making sense of the world around them.

Points in the Coordinate Plane

MA.5.G.U.4: shape and area are conserved during mathematical transformations (flips, slides and turns). Scale conserves shape, but changes size.

Rock Art (Transformations)

MA.5.G.S.SR: Skills and Concepts - Shapes and Relationships

MA.5.G.S.SR.1: identify and model basic two-dimensional figures and three-dimensional objects by appearance and in different orientations (e.g., representations of different views of figures and objects)

Classifying Quadrilaterals

MA.5.G.S.TS: Skills and Concepts - Transformations of Shapes

MA.5.G.S.TS.2: identify and draw basic two-dimensional shapes in different orientations using 90º rotations (turns) around a point of rotation, reflections (flips) and translations (slides) within a plane

Rock Art (Transformations)

MA.5.G.S.CG: Skills and Concepts - Coordinate Geometry

MA.5.G.S.CG.1: identify and graph ordered pairs on a positive coordinate system

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

MA.5.G.S.CG.2: locate points on a grid

City Tour (Coordinates)
Points in the Coordinate Plane

MA.5.G.S.CG.3: apply graphing in the coordinate system to solve real-world problems

Elevator Operator (Line Graphs)
Points in the Coordinate Plane

MA.5.DAP: Data Analysis and Probability

MA.5.DAP.U: Enduring Knowledge - Understandings

MA.5.DAP.U.2: the collection, organization, interpretation and display of data can be used to answer questions.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)

MA.5.DAP.U.3: the choice of data display can affect the visual message communicated.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)

MA.5.DAP.U.5: for a given set of data, the measures of central tendency (mean and median) can be different.

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

MA.5.DAP.U.6: probability can be used to make decisions or predictions, or to draw conclusions.

Spin the Big Wheel! (Probability)

MA.5.DAP.S.DR: Skills and Concepts - Data Representations

MA.5.DAP.S.DR.1: choose and use appropriate means to collect and represent data

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)

MA.5.DAP.S.DR.2: explore line graphs to show change over time

Distance-Time Graphs
Elevator Operator (Line Graphs)
Graphing Skills
Measuring Trees
Prairie Ecosystem

MA.5.DAP.S.DR.3: pose questions and choose an appropriate method to collect, organize and display student-collected data to answer the questions

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

MA.5.DAP.S.DR.4: analyze and make inferences from data displays (e.g., drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs)

Forest Ecosystem
Graphing Skills
Reaction Time 1 (Graphs and Statistics)

MA.5.DAP.S.DR.5: use a variety of tools (e.g., graph paper, manipulatives, models, computer) to construct data displays (e.g., pictographs, bar graphs, line plots, line graphs, Venn diagrams, tables)

Distance-Time Graphs
Elevator Operator (Line Graphs)
Forest Ecosystem
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

MA.5.DAP.S.CD: Skills and Concepts - Characteristics of Data

MA.5.DAP.S.CD.2: develop the meaning and interpretation of the arithmetic mean (average) for numerical data

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

MA.5.DAP.S.CD.3: determine the mean, median, mode and range of a set of data and use the results to answer questions about the set of data

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

MA.5.DAP.S.ES: Skills and Concepts - Experiments and Samples

MA.5.DAP.S.ES.1: pose questions and collect, organize, display and interpret data to answer the questions

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

MA.5.DAP.S.P: Skills and Concepts - Probability

MA.5.DAP.S.P.2: determine the likelihood of an event and represent that likelihood in numerical terms

Spin the Big Wheel! (Probability)

MA.5.DAP.S.P.3: examine events and describe their probability as likely or unlikely

Spin the Big Wheel! (Probability)

MA.5.DAP.S.P.5: determine all possible outcomes of an activity/event with up to 20 possible outcomes

Spin the Big Wheel! (Probability)

MA.5.AT: Algebraic Thinking

MA.5.AT.U: Enduring Knowledge - Understandings

MA.5.AT.U.6: functions can be written in words, as a symbolic sentence, or in a table.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Points, Lines, and Equations

MA.5.AT.S.PRF: Skills and Concepts - Patterns, Relations and Functions

MA.5.AT.S.PRF.1: create, recognize, extend, find and write rules for patterns

Function Machines 2 (Functions, Tables, and Graphs)
Pattern Finder
Pattern Flip (Patterns)

MA.5.AT.S.PRF.2: generalize a rule for sets of ordered pairs

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points, Lines, and Equations

MA.5.AT.S.PRF.3: describe input-output functions through pictures, tables and/or words

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Points, Lines, and Equations