MA 4.1 Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
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 4.1.2.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 Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
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 4.3.3.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.