Repeated addition is a fundamental concept in multiplication. It involves adding the same number multiple times to find the total. For example, 3 + 3 + 3 can be written as 3 * 3, which means 3 added to itself 3 times. This concept is crucial for understanding multiplication and is often used as a precursor to learning multiplication tables.

To perform repeated addition, you simply add the same number multiple times. For example, to find 4 * 3, you would add 4 three times: 4 + 4 + 4 = 12. This process can be represented using the multiplication symbol to make the calculation more efficient.

- Calculate 5 * 2 using repeated addition.
- Find the value of 3 * 4 using repeated addition.

Answer: 5 + 5 = 10

Answer: 3 + 3 + 3 + 3 = 12

Here are some tips for mastering repeated addition:

**Practice with Small Numbers:**Start by practicing with small numbers to understand the concept.**Use Visual Aids:**Draw pictures or use objects to represent the repeated addition, which can help with understanding the concept.**Memorize Addition Facts:**Knowing addition facts can make performing repeated addition easier and quicker.**Apply the Concept:**Try to apply repeated addition to real-life situations, such as counting items or grouping objects.

By following these tips and practicing regularly, you can become proficient in performing repeated addition and lay a strong foundation for learning multiplication.

.Study GuideSimilarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

Similarity and scale Worksheet/Answer key

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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.