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### MA 5.1 Number

- MA.5.1.1 Students will demonstrate, represent, and show relationships among whole numbers, fractions, and decimals within the base-ten number system.
- MA 5.1.1.a Determine multiple equivalent representations for whole numbers and decimals through the thousandths place using standard form, word form, and expanded notation.

- MA 5.1.1.b Compare whole numbers, fractions, mixed numbers, and decimals through the thousandths place and represent comparisons using symbols <,>, or =.

- MA 5.1.1.c Round whole numbers and decimals to any given place.

- MA 5.1.1.d Recognize and generate equivalent forms of commonly used fractions, decimals, and percents (e.g., halves, thirds, fourths, fifths, and tenths).

- MA 5.1.1.e Write powers of 10 with exponents.

- MA 5.1.2 Students will demonstrate the meaning of operations and compute accurately with whole numbers, fractions, and decimals.
- MA 5.1.2.a Multiply multi-digit whole numbers using the standard algorithm.

- MA 5.1.2.b Divide four-digit whole numbers by a two-digit divisor, with and without remainders using the standard algorithm.

- MA 5.1.2.c Multiply a whole number by a fraction or a fraction by a fraction using models and visual representations.

- MA 5.1.2.d Divide a unit fraction by a whole number and a whole number by a unit fraction.

- MA 5.1.2.e Explain division of a whole number by a fraction using models and visual representations.

- MA 5.1.2.f Interpret a fraction as division of the numerator by the denominator.

- MA 5.1.2.g Add, subtract, multiply, and divide decimals to the hundredths using concrete models or drawings and strategies based on place value, properties of operations (i.e. Commutative, Associative, Distributive, Identity, Zero), and/or relationships between operations.

- MA 5.1.2.h Add and subtract fractions and mixed numbers with unlike denominators.

- MA 5.1.2.i Determine the reasonableness of computations involving whole numbers, fractions, and decimals.

- MA 5.1.2.j Multiply and divide by powers of 10.

### MA 5.2 Algebra

- MA 5.2.1 Students will demonstrate, represent, and show relationships with expressions and equations.
- MA 5.2.1.a Form ordered pairs from a rule such as y=2x, and graph the ordered pairs on a coordinate plane.

- MA 5.2.2 Students will apply the operational properties when evaluating expressions and solving equations.
- MA 5.2.2.a Interpret and evaluate numerical or algebraic expressions using order of operations (excluding exponents).

- MA 5.2.3 Students will solve real-world problems involving equations with fractions and mixed numbers.
- MA 5.2.3.a Solve real-world problems involving addition and subtraction of fractions and mixed numbers with like and unlike denominators.

### MA 5.3 Geometry

- MA 5.3.1 Students will identify and describe geometric characteristics and create two- and three-dimensional shapes.
- MA 5.3.1.a Identify three-dimensional figures including cubes, cones, pyramids, prisms, spheres, and cylinders.

- MA 5.3.1.b Identify faces, edges, and vertices of rectangular prisms.

- MA 5.3.1.c Justify the classification of two-dimensional figures based on their properties.

- MA 5.3.2 Students will determine location, orientation, and relationships on the coordinate plane.
- MA 5.3.2.a Identify the origin, x axis, and y axis of the coordinate plane.

- MA 5.3.2.b Graph and name points in the first quadrant of the coordinate plane using ordered pairs of whole numbers.

- MA 5.3.3 Students will perform and compare measurements and apply formulas.
- MA 5.3.3.a Recognize that solid figures have volume that is measured in cubic units.

- MA 5.3.3.b Use concrete models to measure the volume of rectangular prisms in cubic units by counting cubic units.

- MA 5.3.3.c Generate conversions within the customary and metric systems of measurement.

### MA 5.4 Data

- MA 5.4.2 Students will analyze data to address the situation.
- MA 5.4.2.a Use observations, surveys, and experiments to collect, represent, and interpret the data using tables (e.g., frequency charts) and bar graphs.

- MA 5.4.2.b Formulate questions that can be addressed with data and make predictions about the data.