MA.P.NPO: Number Properties and Operations

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

MA.P.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.P.NPO.U.2: meanings of and relationships among operations provide tools necessary to solve realistic problems encountered in everyday life.

Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)

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

MA.P.NPO.S.NS.1: read, write, count and model whole numbers 0-10,000, developing an understanding of place value for ones, tens, hundreds, thousands and ten thousands

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

MA.P.NPO.S.NS.2: apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, expanded form, symbols) to describe and compare whole numbers and fractions (e.g., halves, thirds, fourths) in mathematical and real-world problems

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

MA.P.NPO.S.NS.3: order groups of objects according to quantity

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

MA.P.NPO.S.NS.4: order, compare and understand the relative magnitude of numbers from 0-10,000, using the symbols <, >, =, including the use of physical and visual models for smaller numbers

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

MA.P.NPO.S.NS.5: develop beginning fractional concepts (e.g., dividing an object into equal parts and naming the equal parts [e.g., halves, thirds, fourths])

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

MA.P.NPO.S.NS.6: expand fraction concepts (e.g., whole to part and part to whole; one-half is larger than one-fourth)

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

MA.P.NPO.S.NS.7: be introduced to and use decimals to represent money

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

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

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

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

MA.P.NPO.S.E.2: apply and describe appropriate strategies for estimating quantities of objects and computational results

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

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

MA.P.NPO.S.NO.1: develop an understanding of the concepts of addition and subtraction using physical objects and concrete materials

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

MA.P.NPO.S.NO.2: explore and develop an understanding of the concepts of multiplication and division using physical models

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

MA.P.NPO.S.NO.3: develop part-whole relations using numbers (e.g., 3 + 2 = 5, 1 + 4 = 5)

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

MA.P.NPO.S.NO.4: explore and solve two-digit addition and subtraction problems through the use of manipulatives

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

MA.P.NPO.S.NO.5: explore and develop factor-factor-product (e.g., 2 x 3 = 6) using manipulatives (e.g., hundreds charts, base-10 blocks, arrays)

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

MA.P.NPO.S.NO.6: multiply whole numbers through 10 x 10

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

MA.P.NPO.S.NO.7: relate division facts to multiplication facts (e.g., using factor-factor-product)

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

MA.P.NPO.S.NO.8: solve multi-digit addition and subtraction problems that contain numerals and symbols

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

MA.P.NPO.S.NO.9: add common fractions with like denominators using manipulatives

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

MA.P.NPO.S.NO.10: add and subtract decimals using money

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

MA.P.NPO.S.NO.11: use mental math, pencil-and-paper methods, calculators and/or computers to explore mathematical concepts and to assist with computation in problem solving situations

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

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

MA.P.NPO.S.PNO.1: explore, develop and use the concepts of multiples

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

MA.P.NPO.S.PNO.2: skip-count forwards and backwards by 2s, 5s, 10s and 100s, using manipulatives, mental math and written and electronic means to communicate understanding

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

MA.P.NPO.S.PNO.3: explore, develop and use the concepts of odd and even numbers

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

MA.P.NPO.S.PNO.4: explore and use of properties of numbers for written and mental computation (e.g., 4+7+6 could be mentally regrouped as 4+6+7 using the commutative property of addition)

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

MA.P.M: Measurement

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

MA.P.M.U.2: measurements are determined by using appropriate techniques, tools and formulas.

Cannonball Clowns (Number Line Estimation)

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

MA.P.M.S.MPA.1: apply standard units to measure length (inches and centimeters), weight (pounds), time (hours, half-hours, quarter-hours, five- and one-minute intervals), money (coins and bills) and temperature (Fahrenheit and Celsius)

Chocomatic (Multiplication, Arrays, and Area)

MA.P.M.S.MPA.2: use nonstandard units to measure and compare the length, weight, area or volume of familiar objects

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

MA.P.M.S.MPA.3: use standard units of measurement to identify, describe and compare measurable attributes of objects (e.g., length, weight, volume) and make estimates using appropriate units of measurement

Chocomatic (Multiplication, Arrays, and Area)

MA.P.M.S.MPA.4: choose and use appropriate tools for specific measurement tasks

Chocomatic (Multiplication, Arrays, and Area)

MA.P.M.S.MPA.6: estimate weight, length, perimeter, area, angle and time using appropriate units of measurement

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

MA.P.M.S.MPA.7: explore concepts of perimeter and area of rectangles using manipulatives

Chocomatic (Multiplication, Arrays, and Area)

MA.P.M.S.MPA.9: combine coins and bills to make a given amount and make change up to a dollar

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

MA.P.M.S.MPA.10: relate time to daily activities, tell time to the hour, half-hour, quarter-hour, five minutes and one minute and determine elapsed time

Elapsed Time

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

MA.P.M.S.SM.1: determine equivalent U.S. customary measurements

Chocomatic (Multiplication, Arrays, and Area)

MA.P.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, time, money, temperature (Fahrenheit and Celsius) and weight

Chocomatic (Multiplication, Arrays, and Area)

MA.P.DAP: Data Analysis and Probability

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

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

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

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

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

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

Spin the Big Wheel! (Probability)

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

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

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

MA.P.DAP.S.DR.3: read, display, compare and interpret student-collected data

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

MA.P.DAP.S.DR.4: display, read and compare data on a pictograph and bar graph

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

MA.P.DAP.S.DR.5: display data in line plots

Reaction Time 2 (Graphs and Statistics)

MA.P.DAP.S.DR.6: analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, two-circle Venn diagrams)

Forest Ecosystem
Reaction Time 1 (Graphs and Statistics)

MA.P.DAP.S.DR.7: use technology to organize and display data collected from student investigations

Graphing Skills

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

MA.P.DAP.S.ES.1: pose questions to generate data

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

MA.P.DAP.S.ES.3: use tools (including technology when appropriate) to organize and display student-collected data

Reaction Time 2 (Graphs and Statistics)

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

MA.P.DAP.S.P.1: explore chance through games and events

Spin the Big Wheel! (Probability)

MA.P.DAP.S.P.2: compare likely and unlikely outcomes

Spin the Big Wheel! (Probability)

MA.P.DAP.S.P.3: explore basic concepts of probability through simple experiments

Spin the Big Wheel! (Probability)

MA.P.AT: Algebraic Thinking

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

MA.P.AT.U.1: patterns, relations and functions are tools that help explain or predict real-world phenomena.

Pattern Flip (Patterns)

MA.P.AT.U.2: numerical patterns can be written as rules that generate the pattern.

Function Machines 1 (Functions and Tables)

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

MA.P.AT.S.PRF.1: identify and describe patterns in real life and in numerical and geometric situations

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

MA.P.AT.S.PRF.2: reproduce and extend patterns using manipulatives

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

MA.P.AT.S.PRF.3: use pictures or words to create, reproduce, extend and explain patterns of shapes, objects, movements, sounds and numbers

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

MA.P.AT.S.PRF.4: recognize and extend simple number patterns

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

MA.P.AT.S.PRF.5: explore input-output machines (e.g., function machines) and solve simple function machine tasks

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