Student Progress Chart Lesson Reflection 3-6

Math Learning Goal Students will understand decimals.

Students will understand decimals by being able to do the following: Learn to write, compare, and order decimals using place value and number lines (3-1) Learn to estimate decimal sums, differences, products, and quotients (3-2) Learn to add and subtract decimals (3-3) Learn to multiply and divide decimals by powers of ten and to convert metric measurements (3-4) Learn to write large numbers in scientific notation (3-5) Learn to multiply decimals by whole numbers and by decimals (3-6)

Today’s Learning Goal Assignment Learn to multiply decimals by whole numbers and by decimals. Course Multiplying Decimals

6 th Grade Math HW Page 122 #10-25 Course Multiplying Decimals

3-6 Multiplying Decimals Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Warm Up Multiply. 27, ,400 38,060 Course Multiplying Decimals 120,700 14,112 62,   ,806  ,207    523

Problem of the Day Carmen and Rita sold homemade oatmeal cookies. After 8 days, they had sales totaling $70. Each day, their sales were $0.50 higher than the previous day. What were their sales on the first day? $7.00 Course Multiplying Decimals

Today’s Learning Goal Assignment Learn to multiply decimals by whole numbers and by decimals. Course Multiplying Decimals

Course Multiplying Decimals Additional Example 1: Science Application Something that weighs 1 lb on Earth weighs 0.17 lb on the Moon. How much would a 4 lb dumbbell weigh on the Moon? 4  You can think of multiplication by a whole number as a repeated addition _____ 0.68

Course Multiplying Decimals Additional Example 1 Continued Something that weighs 1 lb on Earth weighs 0.17 lb on the Moon. How much would a 4 lb dumbbell weigh on the Moon? You can also multiply as you would with whole numbers. Place the decimal point by adding the number of decimal places in the numbers multiplied  _____ decimal places + 0 decimal places2 decimal places A 4 lb dumbbell on Earth weighs 0.68 lb on the Moon.

Course Multiplying Decimals Try This: Example 1 Something that weighs 1 lb on Earth weighs 0.17 lb on the Moon. How much would a 7 lb dumbbell weigh on the Moon? 7  You can think of multiplication by a whole number as a repeated addition _____

Course Multiplying Decimals Try This: Example 1 Continued Something that weighs 1 lb on Earth weighs 0.17 lb on the Moon. How much would a 7 lb dumbbell weigh on the Moon? You can also multiply as you would with whole numbers. Place the decimal point by adding the number of decimal places in the numbers multiplied  _____ decimal places + 0 decimal places2 decimal places A 7 lb dumbbell on Earth weighs 1.19 lb on the Moon.

Course Multiplying Decimals Additional Example 2A: Multiplying a Decimal by a Decimal Find the product. A. 0.3  0.4 Multiply. Then place the decimal point  1 decimal place + 1 decimal place2 decimal places 0.12

Course Multiplying Decimals Additional Example 2B: Multiplying a Decimal by a Decimal B  0.8 Multiply. Then place the decimal point  2 decimal places + 1 decimal place3 decimal places; use a placeholder zero Estimate the product. 0.8 is close to  1 = is close to the estimate of The answer is reasonable.

Course Multiplying Decimals Additional Example 2C: Multiplying a Decimal by a Decimal C  2.5 Multiply. Then place the decimal point  2 decimal places + 1 decimal place3 decimal places 670 Estimate the product. Round each factor to the nearest whole number. 1  3 = is close to the estimate of 3. The answer is reasonable

Course Multiplying Decimals Try This: Example 2A Find each product. A. 0.5  0.2 Multiply. Then place the decimal point  1 decimal place + 1 decimal place2 decimal places 0.10

Course Multiplying Decimals Try This: Example 2B B  0.9 Multiply. Then place the decimal point  2 decimal places + 1 decimal place3 decimal places; use a placeholder zero Estimate the product. 0.9 is close to  1 = is close to the estimate of The answer is reasonable.

Course Multiplying Decimals Try This: Example 2C C  3.3 Multiply. Then place the decimal point  2 decimal places + 1 decimal places3 decimal places 1140 Estimate the product. Round each factor to the nearest whole number. 4  3 = is close to the estimate of 12. The answer is reasonable

Course Multiplying Decimals Additional Example 3A: Evaluating Decimal Expressions Evaluate 5x for each value of x. A. x =  3 decimal places + 0 decimal places3 decimal places Substitute for x. 5x = 5(3.062) These notations all mean multiply 3 times x. 3 x3x3(x) Remember!

Course Multiplying Decimals Additional Example 3B: Evaluating Decimal Expressions B. x =  2 decimal places + 0 decimal places2 decimal places Substitute 4.79 for x. 5x = 5(4.79)

Course Multiplying Decimals Try This: Example 3A Evaluate 5x for each value of x. A. x =  3 decimal places + 0 decimal places3 decimal places Substitute for x. 5x = 5(2.012)

Course Multiplying Decimals Try This: Example 3B B. x =  2 decimal places + 0 decimal places2 decimal places Substitute 6.22 for x. 5x = 5(6.22)

Lesson Quiz Find each product  0.07 Evaluate 8x for each value of x Insert Lesson Title Here Course Multiplying Decimals  0.07 $ x = x = “Pick your own” peaches sell for $0.95 per pound. You picked 92 pounds of peaches. How much were you charged?