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### MA 4.1 Number

- MA.4.1.1 Students will demonstrate, represent, and show relationships among fractions and decimals within the base-ten number system.
- MA 4.1.1.a Read, write, and demonstrate multiple equivalent representations for whole numbers up to one million and decimals to the hundredths, using objects, visual representations, standard form, word form, and expanded notation.

- MA 4.1.1.b Recognize a digit in one place represents ten times what it represents in the place to its right and 1/10 what it represents in the place to its left.

- MA 4.1.1.c Classify a number up to 100 as prime or composite.

- MA 4.1.1.d Determine whether a given whole number up to 100 is a multiple of a given one-digit number.

- MA 4.1.1.e Determine factors of any whole number up to 100.

- MA 4.1.1.f Compare whole numbers up to one million and decimals through the hundredths place using >, <, and = symbols, and visual representations.

- MA 4.1.1.g Round a multi-digit whole number to any given place.

- MA 4.1.1.h Use decimal notation for fractions with denominators of 10 or 100.

- MA 4.1.1.i Generate and explain equivalent fractions by multiplying by an equivalent fraction of 1.

- MA 4.1.1.j Explain how to change a mixed number to a fraction and how to change a fraction to a mixed number.

- MA 4.1.1.k Compare and order fractions having unlike numerators and unlike denominators using visual representations (number line), comparison symbols and verbal reasoning (e.g., using benchmarks or common numerators or common denominators).

- MA 4.1.1.l Decompose a fraction into a sum of fractions with the same denominator in more than one way and record each decomposition with an equation and a visual representation.

- MA 4.1.2 Students will demonstrate the meaning of addition and subtraction of whole numbers and fractions and compute accurately.
- MA 4.1.2.a Add and subtract multi-digit numbers using the standard algorithm.

- MA 4.1.2.b Multiply a four-digit whole number by a one-digit whole number.

- MA 4.1.2.c Multiply a two-digit whole number by a two-digit whole number using the standard algorithm.

- MA 4.1.2.d Divide up to a four-digit whole number by a one-digit divisor with and without a remainder.

- MA 4.1.2.e Use drawings, words, and symbols to explain the meaning of addition and subtraction of fractions with like denominators.

- MA 4.1.2.f Add and subtract fractions and mixed numbers with like denominators.

- MA 4.1.2.g Multiply a fraction by a whole number.

- MA 4.1.2.h Determine the reasonableness of whole number products and quotients in real-world problems using estimation, compatible numbers, mental computations, or other strategies.

### MA 4.2 Algebra

- MA 4.2.1 Students will demonstrate, represent, and show relationships with expressions and equations.
- MA 4.2.1.a Create a simple algebraic expression or equation using a variable for an unknown number to represent a math process (e.g., 3 + n = 15, 81 ÷ n = 9).

- MA 4.2.1.b Generate and analyze a number or shape pattern to follow a given rule, such as y = 3x + 5 is a rule to describe a relationship between two variables and can be used to find a second number when a first number is given.

- MA 4.2.2 Students will apply the operational properties when evaluating expressions and solving equations.
- MA 4.2.2.a Solve one- and two-step problems which use any or all of the four basic operations and include the use of a letter to represent the unknown quantity.

- MA 4.2.3 Students will solve real-world problems involving equations with fractions.
- MA 4.2.3.a Solve real-world problems involving multi-step equations comprised of whole numbers using the four operations, including interpreting remainders.

- MA 4.2.3.b Solve real-world problems involving addition and subtraction of fractions and mixed numbers with like denominators.

### MA 4.3 Geometry

- MA 4.3.1 Students will identify and describe geometric characteristics and create two- and three-dimensional shapes.
- MA 4.3.1.a Recognize angles as geometric shapes that are formed where two rays share a common endpoint.
- MA 4.3.1.b Classify an angle as acute, obtuse, or right.

- MA 4.3.1.c Identify and draw points, lines, line segments, rays, angles, parallel lines, perpendicular lines, and intersecting lines, and recognize them in two-dimensional figures.

- MA 4.3.1.d Classify two-dimensional shapes based on the presence or absence of parallel and perpendicular lines, or the presence or absence of specific angles.

- MA 4.3.1.e Identify right triangles.

- MA 4.3.1.f Measure angles in whole number degrees using a protractor.

- MA 4.3.1.g Sketch angles of a specified measure.

- MA 4.3.1.h Recognize and draw lines of symmetry in two-dimensional shapes.

- MA 4.3.3 Students will perform and compare measurements and apply formulas.
- MA 4.3.3.a Apply perimeter and area formulas for rectangles.

- MA 4.3.3.b Identify and use the appropriate tools, operations, and units of measurement, both customary and metric, to solve real-world problems involving time, length, weight, mass, capacity, and volume.

- MA 4.3.3.c Generate simple conversions from a larger unit to a smaller unit within the customary and metric systems of measurement.

### MA 4.4 Data

- MA 4.4.1 Students will create displays that represent data.
- MA 4.4.1.a Represent data using line plots where the horizontal scale is marked off in appropriate units (e.g., whole numbers, halves, quarters, or eighths).

- MA 4.4.2 Students will analyze data to address the situation.
- MA 4.4.2.a Solve problems involving addition or subtraction of fractions using information presented in line plots.