#### 6.1: Number Sense and Computation

6.1.1: Compare, order and represent on a number line positive and negative integers, fractions, decimals to hundredths and mixed numbers.

6.1.2: Interpret the absolute value of a number as the distance from zero on a number line. Find the absolute value of real numbers and know that the distance between two numbers on the number line is the absolute value of their difference.

6.1.3: Use percents to represent parts of a whole. Find the percents part of a whole.

6.1.4: Recognize commonly used fractions, decimals, percents and all of their equivalents and convert between any two representations of non-negative rational numbers without the use of a calculator.

6.1.5: Solve problems involving addition, subtraction, multiplication and division of integers and represent computation with integers on a number line. Describe the effect of operations with numbers less than zero.

6.1.6: Solve problems involving addition, subtraction, multiplication and division of positive fractions and decimals. Explain why a particular operation was used for a given situation.

6.1.7: Interpret ratios, model ratios and use ratios to show the relative sizes of two quantities.

6.1.7.1: Use the notations: a/b, a to b and a:b.

6.1.7.2: Write equivalent ratios.

6.1.7.3: Express a ratio in its simplest form.

6.1.7.4: Find the ratio of two given quantities.

6.1.8: Recognize proportional relationships and solve problems involving proportional relationships. Find the missing term in a pair of equivalent ratios. Find one quantity given the other quantity and their ratio to each other.

6.1.9: Solve simple percent, ratio and proportion problems, including problems involving discounts at sales, interest earned and tips.

#### 6.2: Algebra and Functions

6.2.1: Write and solve one-step linear equations and inequalities in one variable.

6.2.2: Write and use formulas with up to three variables to solve problems.

6.2.3: Apply the correct order of operations and the properties of real numbers (i.e., identity, inverse, commutative, associative and distributive properties) to evaluate numerical expressions, including those that use grouping symbols like parentheses. Justify each step in the process.

6.2.4: Identify and graph ordered pairs in all four quadrants of the coordinate plane.

6.2.5: Solve problems involving linear functions with integer values. Create a table and graph the resulting ordered pairs of integers on a grid. Look for patterns in how a change in one variable relates to a change in the second variable and write an equation that models the relationship.

#### 6.3: Geometry and Measurement

6.3.1: Identify, draw and use the properties of vertical, adjacent, complementary and supplementary angles and the properties of triangles and quadrilaterals to solve problems involving the measure of an unknown angle.

6.3.2: Recognize that the sum of the interior angles of any triangle is 180º and that the sum of the interior angles of any quadrilateral is 360º. Use this information to solve problems.

6.3.3: Develop and use the formula for the circumference of a circle and the formula for the area of a circle.

6.3.4: Recognize that real-world measurements are approximations. Identify appropriate instruments and units for a given measurement situation, taking into account the precision of the measurement desired.

6.3.5: Develop and use the formula for the surface area of a cylinder and volume of a cylinder and find the surface area and volume of three-dimensional objects built from rectangular solids and cylinders.

#### 6.4: Data Analysis and Probability

6.4.1: Construct and analyze circle graphs and stem-and-leaf plots.

6.4.2: Choose the appropriate display for a set of data from bar graphs, line graphs, circle graphs and stem-and-leaf plots. Justify the choice of data display.

6.4.3: Compare the mean, median and mode for a set of data and explain which measure is most appropriate in a given context.

6.4.4: Solve problems involving probability as a measure of chance and verify that the probabilities computed are reasonable.

6.4.5: Recognize and represent probabilities as ratios, measures of relative frequency, decimals between 0 and 1, and percents between 0 and 100.

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.