### M3N: Students will use decimal fractions and common fractions to represent parts of a whole. They will also understand the four arithmetic operations for whole numbers and use them in basic calculations, and apply them in problem solving situations.

#### M3N.1: Students will further develop their understanding of whole numbers and ways of representing them.

M3N.1.a: Identify place values from tenths through ten thousands.

M3N.1.b: Understand the relative sizes of digits in place value notation (10 times, 100 times, 1/10 of a single digit whole number) and ways to represent them.

#### M3N.2: Students will further develop their skills of addition and subtraction and apply them in problem solving.

M3N.2.b: Use mental math and estimation strategies to add and subtract.

#### M3N.3: Students will further develop their understanding of multiplication of whole numbers and develop the ability to apply it in problem solving.

M3N.3.a: Describe the relationship between addition and multiplication, i.e., multiplication is defined as repeated addition.

M3N.3.b: Know the multiplication facts with understanding and fluency to 10 x 10.

M3N.3.c: Use arrays and area models to develop understanding of the distributive property and to determine partial products for multiplication of 2- or 3-digit numbers by a 1- digit number.

M3N.3.e: Apply the identity, commutative and associative properties of multiplication and verify the results.

M3N.3.g: Solve problems requiring multiplication.

#### M3N.4: Students will understand the meaning of division and develop the ability to apply it in problem solving.

M3N.4.a: Understand the relationship between division and multiplication and between division and subtraction.

M3N.4.b: Recognize that division may be two situations: the first is determining how many equal parts of a given size or amount may be taken away from the whole as in repeated subtraction, and the second is determining the size of the parts when the whole is separated into a given number of equal parts as in a sharing model.

M3N.4.c: Recognize problem-solving situations in which division may be applied and write corresponding mathematical expressions.

M3N.4.d: Explain the meaning of a remainder in division in different circumstances.

M3N.4.e: Divide a 2 and 3-digit number by a 1-digit divisor.

M3N.4.f: Solve problems requiring division.

#### M3N.5: Students will understand the meaning of decimal fractions and common fractions in simple cases and apply them in problem-solving situations.

M3N.5.a: Understand a decimal fraction (i.e., 0.1) and a common fraction (i.e., 1/10) represent parts of a whole.

M3N.5.b: Understand the fraction a/b represents a equal sized parts of a whole that is divided into b equal sized parts.

M3N.5.c: Understand a one place decimal fraction represents tenths, i.e., 0.3 = 3/10.

M3N.5.d: Know and use decimal fractions and common fractions to represent the size of parts created by equal divisions of a whole.

M3N.5.e: Understand the concept of addition and subtraction of decimal fractions and common fractions with like denominators.

M3N.5.f: Model addition and subtraction of decimal fractions and common fractions.

M3N.5.g: Solve problems involving fractions.

### M3M: Students will understand and measure time and length. They will also model and calculate perimeter and area of simple geometric figures.

#### M3M.2: Students will measure length choosing appropriate units and tools.

M3M.2.b: Measure to the nearest 1/4 inch, 1/2 inch and millimeter (mm) in addition to the previously learned inch, foot, yard, centimeter, and meter.

M3M.2.c: Estimate length and represent it using appropriate units.

#### M3M.3: Students will understand and measure the perimeter of simple geometric figures (squares and rectangles).

M3M.3.a: Understand the meaning of the linear unit and measurement in perimeter.

M3M.3.c: Determine the perimeter of a simple geometric figure by measuring and summing the lengths of the sides.

#### M3M.4: Students will understand and measure the area of simple geometric figures (squares and rectangles).

M3M.4.b: Model (by tiling) the area of a simple geometric figure using square units (square inch, square foot, etc.).

M3M.4.c: Determine the area of squares and rectangles by counting, addition, and multiplication with models.

### M3G: Students will further develop their understanding of characteristics of previously studied geometric figures.

#### M3G.1: Students will further develop their understanding of geometric figures by drawing them. They will also state and explain their properties.

M3G.1.d: Identify the center, diameter, and radius of a circle.

### M3A: Students will understand how to express relationships as mathematical expressions.

#### M3A.1: Students will use mathematical expressions to represent relationships between quantities and interpret given expressions.

M3A.1.a: Describe and extend numeric and geometric patterns.

### M3D: Students will gather, organize, and display data and interpret graphs.

#### M3D.1: Students will create and interpret simple tables and graphs.

M3D.1.a: Solve problems by organizing and displaying data in bar graphs and tables.

M3D.1.b: Construct and interpret bar graphs using scale increments of 1, 2, 5, and 10.

Correlation last revised: 9/11/2014

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