MA.4.NPO: Number Properties and Operations

MA.4.NPO.U: Enduring Knowledge - Understandings

MA.4.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.4.NPO.S.NS: Skills and Concepts - Number Sense

MA.4.NPO.S.NS.1: apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, expanded form, symbols) to represent whole numbers (0 to 1,000,000)

Cannonball Clowns (Number Line Estimation)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Number Line Frog Hop (Addition and Subtraction)

MA.4.NPO.S.NS.2: read, write and model whole numbers from 0 to 1,000,000, developing place value for hundred thousands and millions

Cannonball Clowns (Number Line Estimation)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

MA.4.NPO.S.NS.3: order and compare numbers to 1,000,000 and understand their relative magnitude

Fraction Garden (Comparing Fractions)

MA.4.NPO.S.NS.4: investigate and apply multiple representations of commonly used and equivalent fractions through twelfths (e.g., 1/2=3/6) and decimals through thousandths with manipulatives (e.g., drawings, manipulatives, base-10 blocks, number lines, expanded form, symbols)

Modeling Decimals (Area and Grid Models)

MA.4.NPO.S.NS.6: explore the relationship between fractions, decimals and percents

Fraction, Decimal, Percent (Area and Grid Models)

MA.4.NPO.S.NS.7: apply whole numbers, commonly used fractions and decimals to represent real-world problems

Modeling Decimals (Area and Grid Models)

MA.4.NPO.S.NS.8: explain how the base 10 number system relates to place value

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

MA.4.NPO.S.NS.9: develop equivalent relationships between commonly used fractions, decimals and whole numbers (e.g., 1/2=0.5, 4/2=2, 2=2.0)

Modeling Decimals (Area and Grid Models)

MA.4.NPO.S.NS.10: graph a whole number, commonly used fraction or decimal on a number line

Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Number Line Frog Hop (Addition and Subtraction)
Treasure Hunter (Decimals on the Number Line)

MA.4.NPO.S.E: Skills and Concepts - Estimation

MA.4.NPO.S.E.1: explore appropriate estimation procedures for different situations

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

MA.4.NPO.S.NO: Skills and Concepts - Number Operations

MA.4.NPO.S.NO.1: develop and apply computational procedures to add, subtract, multiply and divide whole numbers

Critter Count (Modeling Multiplication)

MA.4.NPO.S.NO.2: use manipulatives and/or diagrams to add and subtract fractions with a common denominator

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

MA.4.NPO.S.NO.3: add and subtract decimals through thousandths

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

MA.4.NPO.S.PNO: Skills and Concepts - Properties of Numbers and Operations

MA.4.NPO.S.PNO.1: determine factors/multiples of a whole number

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

MA.4.M: Measurement

MA.4.M.U: Enduring Knowledge - Understandings

MA.4.M.U.3: appropriate techniques, tools and formulas are used to determine measurements.

Cannonball Clowns (Number Line Estimation)

MA.4.M.S.MPA: Skills and Concepts - Measuring Physical Attributes

MA.4.M.S.MPA.3: add and subtract time to solve problems

Elapsed Time

MA.4.M.S.MPA.5: measure and determine area and perimeter of a rectangle

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

MA.4.M.S.MPA.6: measure and determine perimeter of regular/irregular shapes

Fido's Flower Bed (Perimeter and Area)

MA.4.M.S.MPA.7: choose and use appropriate tools (e.g., thermometer, scale, balance, clock, meter stick) for specific measurement tasks

Measuring Trees

MA.4.M.S.MPA.9: estimate weight, length, perimeter, area, angle measure and time using appropriate units of measurement

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

MA.4.M.S.SM: Skills and Concepts - Systems of Measurement

MA.4.M.S.SM.1: convert units (e.g., linear, weight, money, time) within a measurement system (e.g., 2 feet = 24 inches)

Cannonball Clowns (Number Line Estimation)

MA.4.M.S.SM.2: describe, define, give examples of and use to solve real-world and/or mathematical problems both nonstandard and standard (U.S. Customary, metric) units of measurement to include length, weight, time, money and temperature (°F and °C)

Measuring Trees

MA.4.G: Geometry

MA.4.G.U: Enduring Knowledge - Understandings

MA.4.G.U.4: shape and area are conserved during mathematical transformations (flips, slides and turns).

Rock Art (Transformations)

MA.4.G.S.SR: Skills and Concepts - Shapes and Relationships

MA.4.G.S.SR.1: analyze structures of geometric figures (e.g., points, rays, lines, segments, perpendicular lines, parallel lines, intersecting lines, angles)

City Tour (Coordinates)
Elevator Operator (Line Graphs)

MA.4.G.S.TS: Skills and Concepts - Transformations of Shapes

MA.4.G.S.TS.2: identify basic two-dimensional figures in different orientations using 90º rotations (turns) around a point of rotation, reflections (flips) and translations (slides) within a plane

Rock Art (Transformations)

MA.4.G.S.CG: Skills and Concepts - Coordinate Geometry

MA.4.G.S.CG.1: identify and graph ordered pairs on a positive coordinate system

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

MA.4.G.S.CG.2: locate points on a grid

City Tour (Coordinates)
Elevator Operator (Line Graphs)
Function Machines 2 (Functions, Tables, and Graphs)

MA.4.DAP: Data Analysis and Probability

MA.4.DAP.U: Enduring Knowledge - Understandings

MA.4.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.4.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.4.DAP.U.5: probability can be used to make decisions or predictions or to draw conclusions.

Spin the Big Wheel! (Probability)

MA.4.DAP.S.DR: Skills and Concepts - Data Representations

MA.4.DAP.S.DR.1: explore line graphs to show change over time

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

MA.4.DAP.S.DR.2: display, read and compare data on student-generated graphs

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

MA.4.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.4.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)

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

MA.4.DAP.S.DR.5: construct data displays (e.g., pictographs, bar graphs, line plots, Venn diagrams, tables)

Forest Ecosystem
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

MA.4.DAP.S.CD.2: develop the meaning and interpretation of the median, mode and range of a set of data

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

MA.4.DAP.S.CD.3: determine the median, mode and range of a set of data

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

MA.4.DAP.S.CD.4: compare two sets of data

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

MA.4.DAP.S.ES: Skills and Concepts - Experiments and Samples

MA.4.DAP.S.ES.1: pose questions and collect, organize, interpret and display data to answer them

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

MA.4.DAP.S.P: Skills and Concepts - Probability

MA.4.DAP.S.P.2: determine the likelihood of an event, expressed as a fraction

Spin the Big Wheel! (Probability)

MA.4.DAP.S.P.3: describe and give examples of the probability of an unlikely event and a likely event

Spin the Big Wheel! (Probability)

MA.4.DAP.S.P.5: determine all possible outcomes of an activity with up to 12 possible outcomes

Spin the Big Wheel! (Probability)

MA.4.AT: Algebraic Thinking

MA.4.AT.U: Enduring Knowledge - Understandings

MA.4.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)

MA.4.AT.S.PRF: Skills and Concepts - Patterns, Relations and Functions

MA.4.AT.S.PRF.1: represent, describe, analyze and/or formulate rules for number relationships or functions through a variety of methods (e.g., the use of variables, ordered pairs, lists in tables, plots on graphs and patterns)

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

MA.4.AT.S.PRF.2: compare, contrast and/or extend patterns of numbers and shapes and sounds from real-world or mathematical situations

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

MA.4.AT.S.EI: Skills and Concepts - Equations and Inequalities

MA.4.AT.S.EI.3: apply number sentences to solve real-world problems

Number Line Frog Hop (Addition and Subtraction)

MA.4.AT.S.EI.4: read or create and solve story problems using mathematical sentences with missing values

Number Line Frog Hop (Addition and Subtraction)