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• 1. Unit 2 5 th Grade
• 2. Unit Goals
• Write and solve open sentences for number stories
• Round numbers to designated places
• Make magnitude estimates
• Find the product of multi-digit whole numbers and decimals
• Identify the maximum, minimum, median, mode, and mean for a data set (see data landmarks power point for more information)
• 3. Write and solve open sentences for number stories
• An open sentence is a number sentence or equation that contains a variable
I had three fish and bought some more at the pet store. After two died, I had eight fish left. How many fish did I buy? f = fish bought 3 + f – 2 = 8 1 + f = 8 f = 7 Define your variable (the quantity you don’t know) Describe what took place using math operations Combine like terms Solve for the variable
• 4. Write and solve open sentences for number stories
• It often helps to look for key words to help you decide what operations to use.
Try one! per a out of ratio of quotient of percent ÷ Is Are Was Were will be gives yields sold for of times multiplied by product of increased/decreased by a factor of decreased by minus less difference between/of less than fewer than increased by more than combined together total of sum added to = X - +
• 5. Which open sentence describes the following number story? Lucas was comparing prices on a pair of mini-speakers. At one store, the pair of speakers cost \$19.95. At a second store, the same speakers cost \$24.70. At a third store, they cost \$18.50. If he buys the speakers at the lowest price, how much will he save over the highest price? \$24.70 + \$19.95 = s S= savings \$24.70 x \$19.95 = s S= savings \$24.70 - \$19.95 = s S= savings \$24.70 ÷ \$19.95 = s S= savings
• 6. Correct!
• The correct open sentence is \$24.70 - \$19.95 = s because the phrase “save over the highest price” is asking you to find the DIFFERENCE (subtraction) between the highest and lowest prices.
Lucas was comparing prices on a pair of mini-speakers. At one store, the pair of speakers cost \$19.95. At a second store, the same speakers cost \$24.70. At a third store, they cost \$18.50. If he buys the speakers at the lowest price, how much will he save over the highest price ? Click here to return to the goals page
• 7. Keep Trying!
• The correct open sentence is \$24.70 - \$19.95 = s because the phrase “save over the highest price” is asking you to find the DIFFERENCE (subtraction) between the highest and lowest prices.
Lucas was comparing prices on a pair of mini-speakers. At one store, the pair of speakers cost \$19.95. At a second store, the same speakers cost \$24.70. At a third store, they cost \$18.50. If he buys the speakers at the lowest price, how much will he save over the highest price ? Click here to return to the goals page
• 8. Round numbers to designated places
• Remember place value!
• Underline the value to which you are rounding
• Circle the digit to its right- this is the number you will need to look at
• If the circled digit is 5 or more, change the underlined digit to the next highest number and make the rest of the digits to the right into zeros
• If the circled digit is 4 or less, leave the underlined digit alone and make the rest of the digits to the right into zeros
• 9. Round numbers to designated places
• Round 1,342,365.1427 to the nearest thousand.
• Underline the thousands place.
• Circle the hundreds place.
• The hundreds place is less than 5
• Leave the 2 alone and change 3 and everything to the right of it into zeros
You are being asked to tell whether 1,342,365.1427 is closer to 1,342,000 or 1,343,000. 1,342,000.0000 Try one on your own!
• 10. Round numbers to designated places
• Round 234,567,890.0987 to the nearest million.
200,000,000 235,000,000 234,000,000 230,000,000
• 11. Correct!
• The correct answer is 235,000,000.
Click here to return to the goals page Round 234,567,890.0987 to the nearest million. Millions Is 234,567,890.0987 closer to 234 million or 235 million? 23 4 ,567,890.0987 235,000,000 5 or more, round up!
• 12. Keep Trying!
• The correct answer is 235,000,000.
Click here to return to the goals page Round 234,567,890.0987 to the nearest million. Millions Is 234,567,890.0987 closer to 234 million or 235 million? 23 4 ,567,890.0987 235,000,000 5 or more, round up!
• 13. Make magnitude estimates
• A magnitude estimate is a ballpark estimate of what your answer should be.
• Round the factors to the nearest multiple of 10
• 38 is close to 40
• 42 is close to 40
2. Find the product of the two rounded factors 40 x 40 = 1600 3. The answer should be in the 1000s 38 x 42 =1596 38 x 42 =
• 14.
• Make a magnitude estimate for 339 x 38= s.
Make magnitude estimates 300 x 40 = 12,000 The answer should be in the 10,000s 400 x 40 = 16,000 The answer should be in the 10,000s. 300 x 40 = 1,200 The answer should be in the 1,000s 400 x 40 = 1,600 The answer should be in the 1,000s
• 15. Correct!
• The correct answer is 300 x 40 = 12,000… The answer should be in the 10,000s.
Click here to return to the goals page 339 x 38 = 3 3 9 X 3 8 ________ 2 7 1 2 1 0 1 7 0 ________ 1 2, 8 8 2
• 16. Keep Trying!
• The correct answer is 300 x 40 = 12,000… The answer should be in the 10,000s.
Click here to return to the goals page 339 x 38 = 3 3 9 X 3 8 ________ 2 7 1 2 1 0 1 7 0 ________ 1 2, 8 8 2 Be sure to round to the nearest multiple of 10- the number’s highest place value! 339 is closest to 300 38 is closest to 40 300 x 40 = 12,000
• 17. Find the product of multi-digit whole numbers and decimals
• When multiplying multi-digit numbers, remember to keep place value lined up!
. 5 3 4 . 0 x 2 . 3 0 2 2 5 1 Multiply 5340 x 3 0 0 8 6 0 1 Multiply 5340 x 20 0 2 0 2 2 1 Add the products Multiply by .01 Divide each number by .1
• 18. Find the product of multi-digit whole numbers and decimals
• You can also multiply this way:
5 3 4 x 2 3 0 1 Multiply 20 x 500 0 0 6 Multiply 20 x 30 2 8 2 2 1 Add the products 0 0 0 0 8 5 1 0 0 9 0 1 2 Multiply 20 x 4 Multiply 3 x 500 Multiply 3 x 30 Multiply 3 x 4
• 19. Find the product of multi-digit whole numbers and decimals
• A third way to multiply is:
5 3 4 x 2 3 0 1 Multiply 20 x 500 0 0 6 Multiply 20 x 30 2 8 2 2 1 Add the products 0 0 0 0 8 5 1 0 0 9 0 1 2 Multiply 20 x 4 Multiply 3 x 500 Multiply 3 x 30 Multiply 3 x 4
• 20. The Lattice Method
• Click here for a demonstration of the lattice method of multiplication.
• Another demonstration page
• 21. Find the product of multi-digit whole numbers and decimals
• Use a method of multiplication to solve the following open number sentence:
• 43.25 x 36 = N
N = 15570 N = 125.7 N = 1557 N = 1257
• 22. Correct!
• The correct answer is 43.25 x 36 = 1557.
Click here to return to the goals page 43.25 x 36 = 4 3 . 2 5 X 3 6 . 0 0 ___________ 2 5 9 5 0 0 0 1 2 9 7 5 0 0 0 ___________ 1 5 5 7. 0 0 0 0
• 23. Keep Trying!
• The correct answer is 43.25 x 36 = 1557.
Click here to return to the goals page 43.25 x 36 = 4 3 . 2 5 X 3 6 . 0 0 ___________ 2 5 9 5 0 0 0 1 2 9 7 5 0 0 0 ___________ 1 5 5 7. 0 0 0 0