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Patterns and Estimating Quotients

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Patterns and Estimating Quotients

Division Vocabulary Review.

Presentation transcript:

Splash Screen

Five-Minute Check (over Lesson 4–1) Main Idea Example 1: Find a Compatible Dividend Example 2: Find a Compatible Divisor Example 3: Use Rounding and Compatible Numbers Example 4: Estimate to Solve Problems Lesson Menu

I will estimate quotients using rounding and compatible numbers. Main Idea/Vocabulary

Find a Compatible Dividend Estimate 145 ÷ 2. 145 ÷ 2 140 ÷ 2 Change 145 to 140 because 14 and 2 are compatible numbers. 140 ÷ 2 = 70 Divide mentally. Answer: So, 145 ÷ 2 is about 70. Example 1

Estimate 215 ÷ 3. about 55 about 60 about 65 about 70 A B C D Example 1

Find a Compatible Divisor Estimate 3,500 ÷ 80. 3,500 ÷ 80 3,500 ÷ 70 Change 80 to 70 because 35 and 7 are compatible numbers. 3,500 ÷ 70 = 50 Divide mentally. Answer: So, 3,500 ÷ 80 is about 50. Example 2

Estimate 4,800 ÷ 50. about 60 about 70 about 80 about 90 A B C D Example 2

Using Rounding and Compatible Numbers Estimate 439 ÷ 52. Step 1 Round the divisor to the nearest ten. 439 ÷ 52 439 ÷ 50 Step 2 Change the dividend to a number that is compatible with 5. Notice it is easy to divide 45 by 5. 439 ÷ 52 450 ÷ 50 Example 3

Using Rounding and Compatible Numbers Step 3 Divide mentally. 450 ÷ 50 = 9 Answer: So, 439 ÷ 52 is about 9. Example 3

Estimate 629 ÷ 68. about 9 about 8 about 7 about 6 A B C D Example 3

Estimate to Solve Problems Five students share 18 small pieces of veggie pizza equally. About how many pieces does each student get? Example 4

Estimate to Solve Problems One Way: Use compatible numbers 6 and 18. Another Way: Use compatible numbers 20 and 5. 18 ÷ 5 18 ÷ 5 18 ÷ 6 = 3 20 ÷ 5 = 4 Answer: So, each student eats about 3 or 4 slices of veggie pizza. Example 4

about 3 or 4 pieces of candy about 4 or 5 pieces of candy Four friends share 18 pieces of candy equally. About how many pieces does each student get? about 3 or 4 pieces of candy about 4 or 5 pieces of candy about 5 or 6 pieces of candy about 7 pieces of candy A B C D Example 4

End of the Lesson End Lesson

Five-Minute Check (over Lesson 4–1) Image Bank Math Tool Chest Interpret the Remainder Resources

Find 600 ÷ 6 mentally. 10 20 100 150 (over Lesson 4–1) A B C D Five Minute Check 1

Find 2,800 ÷ 4 mentally. 700 800 750 850 (over Lesson 4–1) A B C D Five Minute Check 2

Find 270 ÷ 90 mentally. 13 3 4 5 (over Lesson 4–1) A B C D Five Minute Check 3

Find 4,800 ÷ 800 mentally. 8 5 7 6 (over Lesson 4–1) A B C D Five Minute Check 4

Find 1,800 ÷ 20 mentally. 90 80 85 75 (over Lesson 4–1) A B C D Five Minute Check 5

Find 25,000 ÷ 500 mentally. 25 45 50 60 (over Lesson 4–1) A B C D Five Minute Check 6

End of Custom Shows