MA-EP-1: Whole number sense, addition and subtraction are key concepts and skills developed in early childhood. Students build on their number sense and counting sense to develop multiplication and division. They move flexibly and fluently through basic number facts, operations and representations. Their understanding of the base-10 number system expands to include decimals. They examine various meanings and models of fractions. They explore data, perform measurements and examine patterns as part of the development process for number and operations, using other mathematics strands to enrich number. Computational fluency with whole numbers, relationships among decimals and fractions and techniques for reasonable estimations represent elementary number

MA-EP-1.1: Number Sense

MA-EP-1.1.1: Students will:

MA-EP-1.1.1.a: apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, expanded form, symbols) to describe whole numbers (0 to 9,999):

Modeling Whole Numbers and Decimals (Base-10 Blocks)

MA-EP-1.1.1.b: apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, symbols) to describe fractions (halves, thirds, fourths);

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (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)

MA-EP-1.1.1.c: apply these numbers to represent real-world problems and

Fraction Artist 1 (Area Models of Fractions)
Fraction, Decimal, Percent (Area and Grid Models)

MA-EP-1.1.1.d: 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-EP-1.2: Estimation

MA-EP-1.2.1: Students will apply and describe appropriate strategies for estimating quantities of objects and computational results (limited to addition and subtraction).

Multiplying Decimals (Area Model)

MA-EP-1.3: Number Operations

MA-EP-1.3.1: Students will analyze real-world problems to identify appropriate representations using mathematical operations, and will apply operations to solve real-world problems with the following constraints:

MA-EP-1.3.1.a: add and subtract whole numbers with three digits or less;

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)

MA-EP-1.3.1.b: multiply whole numbers of 10 or less;

Critter Count (Modeling Multiplication)
Modeling Whole Numbers and Decimals (Base-10 Blocks)

MA-EP-1.3.1.c: add and subtract fractions with like denominators less than or equal to four and

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

MA-EP-1.3.3: Students will divide two digit numbers by single digit divisors (with or without remainders) in real-world and mathematical problems.

No Alien Left Behind (Division with Remainders)

MA-EP-1.5: Properties of Numbers and Operations

MA-EP-1.5.2: Students will use the commutative properties of addition and multiplication, the identity properties of addition and multiplication and the zero property of multiplication in written and mental computation.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

MA-EP-2: Students progress from measuring using nonstandard units to using standard units of measurement. They identify measurable attributes of objects, estimate and measure weight, length, perimeter, area, angles, temperature, time and money. They convert units within the same measurement system.

MA-EP-2.1: Measuring Physical Attributes

MA-EP-2.1.4: Students will use nonstandard and standard units of measurement to identify measurable attributes of an object (length ? in, cm; weight ? oz, lb) and make an estimate using appropriate units of measurement.

Cannonball Clowns (Number Line Estimation)
Measuring Trees

MA-EP-2.1.5: Students will use units of measurement to describe and compare attributes of objects to include length (in, cm), width, height, money (cost), temperature (F) and weight (oz, lb), and sort objects and compare attributes by shape, size and color.

Cannonball Clowns (Number Line Estimation)

MA-EP-2.1.6: Students will estimate weight, length, perimeter, area, angle measures and time using appropriate units of measurement.

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

MA-EP-2.2: Systems of Measurement

MA-EP-2.2.1: Students will describe, define, give examples of and use to solve real-world and mathematical problems nonstandard and standard (U.S. Customary, metric) units of measurement to include length (in., cm.), time, money, temperature (Fahrenheit) and weight (oz., lb).

Measuring Trees

MA-EP-2.2.2: Students will determine elapsed time by half hours.

Elapsed Time

MA-EP-2.2.3: Students will convert units within the same measurement system including money (dollars, cents), time (minutes, hours, days, weeks, months), weight (ounce, pound) and length (inch, foot).

Cannonball Clowns (Number Line Estimation)

MA-EP-3: Students explore and find basic geometric elements and terms, two-dimensional shapes and three-dimensional objects. They find and use symmetry. They move two-dimensional figures in a plane and explore congruent and similar figures.

MA-EP-3.3: Coordinate Geometry

MA-EP-3.3.1: Students will locate points on a grid representing a positive coordinate system.

City Tour (Coordinates)
Elevator Operator (Line Graphs)

MA-EP-4: Students pose questions, plan and collect data, organize and display data and interpret displays of data. They generate outcomes for simple probability activities, determine fairness of probability games and explore likely and unlikely events.

MA-EP-4.1: Data Representations

MA-EP-4.1.1: Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs with two or three sectors, line plots, two-circle Venn diagrams).

Forest Ecosystem
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram

MA-EP-4.1.2: Students will collect data.

Reaction Time 2 (Graphs and Statistics)

MA-EP-4.1.3: Students will organize and display data.

Mascot Election (Pictographs and Bar Graphs)

MA-EP-4.2: Characteristics of Data Sets

MA-EP-4.2.1: Students will determine the mode (of a set of data with no more than one mode) and the range of a set of data.

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

MA-EP-4.3: Experiments and Samples

MA-EP-4.3.1: Students will pose questions that can be answered by collecting data.

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

MA-EP-4.4: Probability

MA-EP-4.4.3: Students will describe and give examples of the probability of an unlikely event (near zero) and a likely event (near one).

Spin the Big Wheel! (Probability)

MA-EP-5: Students explore and examine patterns and develop rules to go with patterns. They generate input-output for functions and create tables to analyze functions. They use ordered pairs and plot points in the first quadrant of the Cartesian plane. Students use number sentences with missing values.

MA-EP-5.1: Patterns, Relations and Functions

MA-EP-5.1.1: Students will extend simple patterns (e.g., 2,4,6,8, ?).

Pattern Finder
Pattern Flip (Patterns)

MA-EP-5.1.2: Students will describe functions (input-output) through pictures and words.

Function Machines 1 (Functions and Tables)

MA-EP-5.1.3: Students will determine the value of an output given a function rule and an input value.

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