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Mathematics Conversion and Expression Fundamentals for Students

This comprehensive resource covers essential conversion techniques and algebraic concepts. Students will learn how to convert common units such as miles to feet, pounds to kilograms, and gallons to liters. The material also emphasizes understanding the language of mathematics, including definitions of terms like variables, coefficients, and exponents. By mastering both conversions and algebraic expressions, learners will enhance their mathematical skills and comprehension, preparing them for further studies in math and related fields.

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Mathematics Conversion and Expression Fundamentals for Students

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  1. Warm UP • Convert 23 miles to feet. (5280 ft = 1 mi) • Convert 120 lbs to kilograms. (0.454 kg = 1 lbs) • Convert 6 feet to miles. (5280 ft = 1 mi) • Convert 4 quarts to liters. (1 liter = 1.05 quarts) • Convert 0.045 barrels to gallons. (73 gallons = 2 barrels) 121,440 feet 54.48 kg 0.00114 miles 3.8095 Liters 1.6425 gallons

  2. MORE Warm UP 6. Convert 75 minutes to days. 7. Convert 46 inches to miles. (1 mi = 5280 ft) 0.05208 days 0.00072601 miles

  3. Review HW

  4. EQ CCCA Unit 1 • Why is it important to understand the “language” of mathematics?

  5. Definitions Identifying Parts Guided NOTES

  6. Algebraic Expression • Can have variables, numbers, addition, subtraction, multiplication, division, parenthesis, square roots, exponents… • Examples:

  7. Variable • Symbols or letters used to represent an unknown • Examples: 

  8. Term • How many items are being added, subtracted, divided • Examples: 3 4

  9. Like Terms • Same variable raised to the same power • Examples:

  10. Coefficient • The number in front of a variable • Examples: 123 9 1

  11. Exponent • The number up in the air next to a base • The number of times you multiply something times itself • Examples: 3 1 4

  12. Base • What the exponent sits on • The part that has been raised to a power • Examples: 2 x y

  13. Constant • A number that has no variable • It can be positive or negative • Examples: -42 5 -8

  14. Factors • Items that are being multiplied together • Can be numbers, variables, parenthesis • Examples: 1 and 6…. Or 2 and 3 9 and x and y (x + 2) and (y – 3) 3 and (z – 9)

  15. Order of Operations • Simplify inside parenthesis • Take care of exponents • In order from left to right, multiplication or division • In order from left to right, addition or subtraction • Examples: -18

  16. Translations

  17. ADDITION • Sum • Plus • Add • More Than • Increased • Together

  18. SUBTRACTION • Difference • Minus • Decreased • Less Than (swaps the order) • Take away

  19. DIVISION • Quotient • Half • Divide by

  20. MULTIPLICATION • Product • Twice • Double • Triple • Times

  21. EXPONENTS • Square • Cubed • To the power of • Raised to a power

  22. Translate The sum of a number and 10 x + 10

  23. Translate The product of 9 and x squared 9x2

  24. Translate 9 less than g to the fourth power g4 – 9

  25. Translate 8 + 3x Eight increased by three times a number

  26. CW/HW WORKSHEET Identifying Parts and Translating Expressions Practice

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