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Review from Semester 1

This comprehensive review covers key concepts from the first semester of mathematics, focusing on whole numbers, fractions, decimals, ratios, proportions, and percentages. It includes homework exercises and worksheets that enhance understanding of operations such as addition, subtraction, multiplication, and division. Students will learn to interpret ratios, solve for proportions, and represent rates. Practical examples, like calculating ratios in real-world scenarios, will deepen comprehension. Enhance your mathematical skills with engaging problems involving fractions and decimals expressed as percentages.

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Review from Semester 1

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  1. Review from Semester 1 Date: Feb 11, 2013 Whole Numbers Fractions and Decimals Ratio Proportion Percent • Homework • Worksheet

  2. Real Number System

  3. Operations with Numbers • Addition • Subtraction • Multiplication • Division • Whole numbers • Fraction/Decimals • Integers

  4. Review • Ratio • A ratio is a relationship where for every x units of one quantity there are y units of another quantity. • x to y • x:y • x/y • Proportion • A mathematical expression that two ratios are equal is called a prop0rtion

  5. Solve • Write each rate as unit rate: • 60 Km in 12 hours • 26 cm in 13 s A school district requires a 15:1 ratio of students to adults on a field trip. About how many trips will be needed for a field trip with 72 students?

  6. Solve • Anya rode 4 miles on her bicycle in 20 minutes. At this rate, how long will it take her to ride 24 miles? • Indonesia has more than 13,000 islands, and over 20 languages are spoken there. What is the ratio of islands to languages spoken?

  7. Percent • A percent is a special kind of ratio in which the first term in compared to 100. • Solve: • - Easton won Best in Show in 60% of the shows he entered. In how many shows Easton entered if he won Best in Show 15 times last year?

  8. Solve • Jan and Kim built model cars for a Science Project . Kim’s car travelled 140% as far as Jan’s car. How can you write 140% as a fraction and decimal?

  9. Closure • Fraction, decimals and percentsare three ways to shows portions of whole

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