#### 7.1: Students understand and use scientific notation and square roots. They convert between fractions and decimals.

7.1.1: Read, write, compare, and solve problems using whole numbers in scientific notation.

7.1.2: Compare and order rational and common irrational numbers and place them on a number line.

7.1.6: Understand and apply the concept of square root.

#### 7.2: Students solve problems involving integers, fractions, decimals, ratios, and percentages.

7.2.1: Solve addition, subtraction, multiplication, and division problems that use integers, fractions, decimals, and combinations of the four operations.

7.2.2: Calculate the percentage increase and decrease of a quantity.

7.2.3: Solve problems that involve discounts, markups, and commissions.

7.2.4: Use estimation to decide whether answers are reasonable in problems involving fractions and decimals.

7.2.5: Use mental arithmetic to compute with simple fractions, decimals, and powers.

#### 7.3: Students express quantitative relationships using algebraic terminology, expressions, equations, inequalities, and graphs.

7.3.1: Use variables and appropriate operations to write an expression, a formula, an equation, or an inequality that represents a verbal description.

7.3.2: Write and solve two-step linear equations and inequalities in one variable and check the answers.

7.3.3: Use correct algebraic terminology, such as variable, equation, term, coefficient, inequality, expression, and constant.

7.3.4: Evaluate numerical expressions and simplify algebraic expressions by applying the correct order of operations and the properties of rational numbers (e.g., identity, inverse, commutative, associative, distributive). Justify each step in the process.

7.3.5: Solve an equation or formula with two variables for a particular variable.

7.3.6: Define slope as vertical change per unit of horizontal change and recognize that a straight line has constant slope or rate of change.

7.3.7: Find the slope of a line from its graph.

7.3.8: Draw the graph of a line given the slope and one point on the line, or two points on the line.

7.3.9: Identify functions as linear or nonlinear and examine their characteristics in tables, graphs, and equations.

7.3.10: Identify and describe situations with constant or varying rates of change and know that a constant rate of change describes a linear function.

#### 7.4: Students deepen their understanding of plane and solid geometric shapes by constructing shapes that meet given conditions and by identifying attributes of shapes.

7.4.1: Understand coordinate graphs and use them to plot simple shapes, find lengths and areas related to the shapes and find images under translations (slides), rotations (turns), and reflections (flips).

7.4.2: Understand that transformations — such as slides, turns, and flips — preserve the length of segments, and that figures resulting from slides, turns, and flips are congruent to the original figures.

7.4.3: Know and understand the Pythagorean Theorem and use it to find the length of the missing side of a right triangle and the lengths of other line segments. Use direct measurement to test conjectures about triangles.

7.4.4: Construct two-dimensional patterns (nets) for three-dimensional objects, such as right prisms, pyramids, cylinders, and cones.

#### 7.5: Students compare units of measure and use similarity to solve problems. They compute the perimeter, area, and volume of common geometric objects and use the results to find measures of less regular objects.

7.5.1: Compare lengths, areas, volumes, weights, capacities, times, and temperatures within measurement systems.

7.5.4: Use formulas for finding the perimeter and area of basic two-dimensional shapes and the surface area and volume of basic three-dimensional shapes, including rectangles, parallelograms, trapezoids, triangles, circles, right prisms, and cylinders.

7.5.5: Estimate and compute the area of more complex or irregular two-dimensional shapes by dividing them into more basic shapes.

7.5.6: Use objects and geometry modeling tools to compute the surface area of the faces and the volume of a three-dimensional object built from rectangular solids.

#### 7.6: Students collect, organize, and represent data sets and identify relationships among variables within a data set. They determine probabilities and use them to make predictions about events

7.6.1: Analyze, interpret, and display data in appropriate bar, line, and circle graphs and stem-and-leaf plots, and justify the choice of display.

7.6.3: Describe how additional data, particularly outliers, added to a data set may affect the mean, median, and mode.

7.6.4: Analyze data displays, including ways that they can be misleading. Analyze ways in which the wording of questions can influence survey results.

7.6.5: Know that if P is the probability of an event occurring, then 1 - P is the probability of that event not occurring.

7.6.6: Understand that the probability of either one or the other of two disjoint events occurring is the sum of the two individual probabilities.

7.6.7: Find the number of possible arrangements of several objects using a tree diagram.

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.