#### 4.1: Students understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions.

4.1.3: Round whole numbers up to 10,000 to the nearest ten, hundred, and thousand.

4.1.4: Order and compare whole numbers using symbols for ?less than? (<), ?equal to? (=), and ?greater than? (>).

4.1.8: Write tenths and hundredths in decimal and fraction notations. Know the fraction and decimal equivalents for halves and fourths (e.g., 1/2 = 0.5 = 0.50, 7/4 = 1 3/4 = 1.75).

#### 4.2: Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among these operations. They extend their use and understanding of whole numbers to the addition and subtraction of simple fractions and decimals.

4.2.1: Understand and use standard algorithms for addition and subtraction.

4.2.2: Represent as multiplication any situation involving repeated addition.

4.2.3: Represent as division any situation involving the sharing of objects or the number of groups of shared objects.

4.2.5: Use a standard algorithm to multiply numbers up to 100 by numbers up to 10, using relevant properties of the number system.

4.2.6: Use a standard algorithm to divide numbers up to 100 by numbers up to 10 without remainders, using relevant properties of the number system.

4.2.9: Add and subtract decimals (to hundredths), using objects or pictures.

4.2.10: Use a standard algorithm to add and subtract decimals (to hundredths).

4.2.11: Know and use strategies for estimating results of any whole-number computations.

#### 4.3: Students use and interpret variables, mathematical symbols, and properties to write and simplify numerical expressions and sentences. They understand relationships among the operations of addition, subtraction, multiplication, and division

4.3.4: Understand that an equation such as y = 3x + 5 is a rule for finding a second number when a first number is given.

4.3.5: Continue number patterns using multiplication and division.

4.3.6: Recognize and apply the relationships between addition and multiplication, between subtraction and division, and the inverse relationship between multiplication and division to solve problems.

4.3.7: Relate problem situations to number sentences involving multiplication and division.

#### 4.4: Students show an understanding of plane and solid geometric objects and use this knowledge to show relationships and solve problems.

4.4.3: Identify, describe, and draw parallelograms, rhombuses, and trapezoids, using appropriate mathematical tools and technology.

4.4.4: Identify congruent quadrilaterals and give reasons for congruence using sides, angles, parallels and perpendiculars.

#### 4.5: Students understand perimeter and area, as well as measuring volume, capacity, time, and money.

4.5.1: Measure length to the nearest quarter-inch, eighth-inch, and millimeter.

4.5.4: Know and use formulas for finding the areas of rectangles and squares.

4.5.6: Understand that rectangles with the same area can have different perimeters and that rectangles with the same perimeter can have different areas.

4.5.7: Find areas of shapes by dividing them into basic shapes such as rectangles.

#### 4.6: Students organize, represent, and interpret numerical and categorical data and clearly communicate their findings. They show outcomes for simple probability situations.

4.6.1: Represent data on a number line and in tables, including frequency tables.

4.6.3: Summarize and display the results of probability experiments in a clear and organized way.

#### 4.7: Problem Solving

4.7.1: Analyze problems by identifying relationships, telling relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

4.7.4: Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, tools, and models to solve problems, justify arguments, and make conjectures.

4.7.7: Know and use appropriate methods for estimating results of whole-number computations.

Correlation last revised: 1/20/2017

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