### 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):

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);

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

MA-EP-1.1.1.d: explain how the base 10 number system relates to place value.

#### 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).

#### 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;

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

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

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.

#### 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.

### 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.

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.

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

#### 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).

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

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).

### 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.

### 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).

MA-EP-4.1.2: Students will collect data.

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

#### 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.

#### MA-EP-4.3: Experiments and Samples

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

#### 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).

### 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, ?).

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

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

Correlation last revised: 5/11/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.