An array in mathematics is a way of organizing numbers or objects in rows and columns. It is a systematic arrangement of items, typically in rows and columns, for easy reference and comparison. Arrays are commonly used in multiplication and division, as well as in various other mathematical concepts.

**Rows and Columns:**Arrays consist of rows and columns. The rows run horizontally, while the columns run vertically.**Elements:**The individual items in an array are called elements. Each element is located at a specific intersection of a row and a column.**Dimensions:**The dimensions of an array refer to the number of rows and columns it contains. For example, a 3x4 array has 3 rows and 4 columns.

Arrays are used in various mathematical concepts, including:

**Multiplication:**Arrays can help visualize and solve multiplication problems by arranging the numbers in rows and columns.**Division:**Arrays can be used to understand and solve division problems, particularly when dealing with equal groups.**Area and Perimeter:**Arrays are useful for understanding and calculating the area and perimeter of geometric shapes.

To understand and work with arrays, consider the following study guide:

- Learn to identify rows and columns within an array.
- Practice creating arrays for different sets of numbers, starting with simple examples and progressing to more complex ones.
- Understand the concept of dimensions and how they relate to the size of an array.
- Work on multiplication and division problems using arrays to visualize the processes.
- Apply arrays to real-world scenarios, such as organizing items in a store or arranging objects in a grid.

By mastering the concept of arrays, you'll gain a valuable tool for visualizing and solving various mathematical problems.

Study GuideSimilarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer keyUsing Similar Polygons Worksheet/Answer keySimilar Polygons Worksheet/Answer keyUsing Similar Polygons Worksheet/Answer keySimilar Polygons

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects.

Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.

Apply transformations and use symmetry to analyze mathematical situations.

Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Solve problems involving scale factors, using ratio and proportion.

Grade 8 Curriculum Focal Points (NCTM)

Geometry and Measurement: Analyzing two- and three-dimensional space and figures by using distance and angle

Students use fundamental facts about distance and angles to describe and analyze figures and situations in two- and three-dimensional space and to solve problems, including those with multiple steps. They prove that particular configurations of lines give rise to similar triangles because of the congruent angles created when a transversal cuts parallel lines. Students apply this reasoning about similar triangles to solve a variety of problems, including those that ask them to find heights and distances. They use facts about the angles that are created when a transversal cuts parallel lines to explain why the sum of the measures of the angles in a triangle is 180 degrees, and they apply this fact about triangles to find unknown measures of angles. Students explain why the Pythagorean Theorem is valid by using a variety of methods - for example, by decomposing a square in two different ways. They apply the Pythagorean Theorem to find distances between points in the Cartesian coordinate plane to measure lengths and analyze polygons and polyhedra.