### MA-05-1: 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-05-1.1: Number Sense

MA-05-1.1.1: Students will:

MA-05-1.1.1.a: apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, expanded form, symbols) to represent whole numbers (0 to 99,999,999);

MA-05-1.1.1.b: apply multiple representations (e.g., drawings, manipulatives, base-10 blocks, number lines, symbols) to describe commonly-used fractions, mixed numbers and decimals through thousandths;

MA-05-1.1.1.c: apply these numbers to represent real-world problems and

MA-05-1.1.1.d: explain how the base-10 number system relates to place value.

MA-05-1.1.2: Students will read, write and rename whole numbers, fractions and decimals, and apply to real-world and mathematical problems.

MA-05-1.1.3: Students will compare (<, >, =) and order whole numbers), fractions and decimals, and explain the relationships (equivalence, order) between and among them.

#### MA-05-1.2: Estimation

MA-05-1.2.1: Students will apply and describe appropriate strategies for estimating quantities of objects and computational results in real-world problems.

#### MA-05-1.3: Number Operations

MA-05-1.3.1: 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-05-1.3.1.a: add, subtract, multiply, and divide whole numbers (less than 100,000,000), using technology where appropriate;

MA-05-1.3.1.b: add and subtract fractions with like denominators through 16, with sums less than or equal to one and

MA-05-1.3.1.c: add and subtract decimals through hundredths.

MA-05-1.3.3: Students will multiply decimals through tenths.

#### MA-05-1.5: Properties of Numbers and Operations

MA-05-1.5.2: Students will use the commutative properties of addition and multiplication, the associative properties of addition and multiplication, the identity properties of addition and multiplication and the zero property of multiplication in written and mental computation.

### MA-05-2: 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-05-2.1: Measuring Physical Attributes

MA-05-2.1.1: Students will apply standard units to measure length (to the nearest eighth-inch or the nearest centimeter) and to determine:

MA-05-2.1.1.b: perimeter

MA-05-2.1.1.c: area (figures that can be divided into rectangular shapes);

MA-05-2.1.3: Students will use measurements to identify, describe, sort and compare attributes of objects and apply these to solve real-world and mathematical problems.

MA-05-2.1.6: Students will estimate weight, length, perimeter, area, angle measures and time using appropriate units of measurement.

#### MA-05-2.2: Systems of Measurement

MA-05-2.2.1: Students will determine elapsed time.

MA-05-2.2.2: 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.

MA-05-2.2.3: Students will convert units within the same measurement system [U.S. customary (inches, feet, yards, miles; ounces, pounds, tons), metric (millimeters, centimeters, meters, kilometers; grams, kilograms), money, or time] and use the units to solve problems.

### MA-05-3: 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-05-3.1: Shapes and Relationships

MA-05-3.1.2: Students will describe and provide examples of basic two-dimensional shapes [circles, triangles (right, equilateral), all quadrilaterals, pentagons, hexagons, octagons] and will apply these shapes to solve real-world and mathematical problems.

#### MA-05-3.3: Coordinate Geometry

MA-05-3.3.1: Students will identify and graph ordered pairs on a positive coordinate system scaled by ones, twos, threes, fives or tens; locate points on a grid; and apply graphing in the coordinate system to solve real-world problems.

### MA-05-4: 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-05-4.1: Data Representations

MA-05-4.1.1: Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs).

MA-05-4.1.2: Students will collect data (e.g., tallies, surveys) and explain how the skills apply in real-world and mathematical problems.

MA-05-4.1.3: Students will construct data displays (pictographs, bar graphs, line plots, line graphs, Venn diagrams, tables).

#### MA-05-4.2: Characteristics of Data Sets

MA-05-4.2.1: Students will determine and apply the mean, median, mode and range of a set of data.

#### MA-05-4.3: Experiments and Samples

MA-05-4.3.1: Students will describe and give examples of the process of using data to answer questions (e.g., pose a question, plan, collect data, organize and display data, interpret data to answer questions).

#### MA-05-4.4: Probability

MA-05-4.4.1: Students will determine all possible outcomes of an activity/event with up to 12 possible outcomes.

MA-05-4.4.2: Students will determine the likelihood of an event and the probability of an event (expressed as a fraction).

### MA-05-5: 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-05-5.1: Patterns, Relations and Functions

MA-05-5.1.1: Students will extend patterns, find the missing term(s) in a pattern or describe rules for patterns (numbers, pictures, tables, words) from real-world and mathematical problems.

MA-05-5.1.2: Students will describe functions (input-output) through pictures, tables, or words and will construct tables to analyze functions based on real-world or mathematical problems.

MA-05-5.1.3: Students will determine an output value or an input value for a function rule given the other 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.