#### 7.1: Number Sense and Computation

7.1.3: Recognize the prime factors of a number and find the prime factorization of whole numbers. Write the results using exponents.

7.1.4: Recognize or use prime and composite numbers to solve problems.

7.1.5: Recognize and use the inverse relationship between squaring and finding the square root of a perfect square integer.

7.1.6: Identify, write, rename, compare and order rational and common irrational numbers and plot them on a number line.

7.1.7: Solve problems that involve multiplication and division with integers, fractions, decimals and combinations of the four operations.

7.1.8: Solve problems involving percents.

7.1.8.1: Find the whole given a part and the percent.

7.1.8.2: Find the percent increase or decrease.

7.1.9: Solve problems involving ratios and proportions.

7.1.9.2: Given their ratio, find how many times one quantity is as large as another and vice versa.

7.1.9.3: Given the two quantities, express one quantity as a fraction of another.

7.1.9.4: In a given ratio, find the whole, or one part, when a whole is divided into parts.

7.1.9.5: Solve problems involving two pairs of equivalent ratios.

#### 7.2: Algebra and Functions

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

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

7.2.3: Evaluate numerical expressions and simplify algebraic expressions involving rational and irrational numbers.

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

7.2.5: Find the slope of a line from its graph and relate the slope of a line to similar triangles.

7.2.6: Draw the graph of a line given either its slope and one point on the line or two points on the line.

7.2.7: Identify situations that involve proportional relationships, draw graphs representing these situations and recognize that these situations are described by a linear function in the form y = mx, where the unit rate m is the slope of the line.

#### 7.3: Geometry and Measurement

7.3.1: Identify and use basic properties of angles formed by transversals intersecting pairs of parallel lines.

7.3.2: Identify, describe and use transformations (translations, rotations, reflections and simple compositions of these transformations) to solve problems.

7.3.3: Draw two-dimensional patterns (nets) for three-dimensional objects like right prisms, pyramids, cylinders and cones.

7.3.4: Recognize, describe or extend geometric patterns using tables, graphs, words or symbols.

7.3.5: Identify, describe and construct similarity relationships and solve problems involving similarity (including similar triangles). Scale drawings by using proportional reasoning.

7.3.6: Solve simple problems involving distance, speed and time.

7.3.6.1: Understand concepts of speed and average speed.

7.3.6.2: Understand the relationships among distance, time and speed.

7.3.6.3: Find speed, distance or time given the other two quantities.

7.3.6.5: Solve simple problems involving speed and average speed.

#### 7.4: Data Analysis and Probability

7.4.1: Create, analyze and interpret data sets in multiple ways using bar graphs, frequency tables, line plots, histograms and circle graphs. Justify the choice of data display.

7.4.2: Make predictions from statistical data and use proportions to make estimates about a population based on a sample.

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

7.4.5: Understand that when all outcomes are equally likely, the theoretical probability of an event is the fraction of outcomes in which the event may occur. Use theoretical probability and proportions to make predictions.

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.