Download Week of 2-13-17 - Math

Mathematics Homework for the Week of February 13, 2017
Monday, February 13, 2017
Multiplication of a Fraction by a Fraction (Lesson 18)
5.NBT.7
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings
and strategies based on place value, properties of operations, and/or the relationship between
addition and subtraction; relate the strategy to a written method and explain the reasoning used.
5.NF.4a
Apply and extend previous understandings of multiplication to multiply a fraction or whole
number by a fraction.
Interpret the product of (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as
the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to
show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) ×
(4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
5.NF.6
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by
using visual fraction models or equations to represent the problem.
5.MD.1
Convert among different-sized standard measurement units within a given measurement system
(e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world
problems.
Group A Solve using the standard algorithm. Show your thinking about the units of your
product. The first one is done for you.
a. 3.2 × 0.6 =
1.92
b. 2.3 × 2.1 =
__________
3 2 tenths × 6 tenths 1 9 2 hundredths 2 3 tenths × 2 1 tenths c.
7.41 × 3.4 = __________
d. 6.50 × 4.5 = __________
3210×610=192100 Group
O Erik buys 2.5 pounds of cashews. If each pound of cashews costs $7.70, how much
will he pay for the cashews?
Group B A swimming pool at a park measures 9.75 meters by 7.2 meters.
a. Find the area of the swimming pool.
b. The area of the playground is one and a half times that of the swimming pool. Find the
total area of the swimming pool and the playground.
Tuesday, February 14, 2017
Multiplication of a Fraction by a Fraction (Lesson 19)
5.NBT.7
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings
and strategies based on place value, properties of operations, and/or the relationship between
addition and subtraction; relate the strategy to a written method and explain the reasoning used.
5.NF.4a
Apply and extend previous understandings of multiplication to multiply a fraction or whole
number by a fraction.
Interpret the product of (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as
the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to
show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) ×
(4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
5.NF.6
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by
using visual fraction models or equations to represent the problem.
5.MD.1
Convert among different-sized standard measurement units within a given measurement system
(e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world
problems.
Group A Marty buys 12 ounces of granola.
a. What fraction of a pound of granola did Marty buy?
b. If a whole pound of granola costs $4, how much did Marty pay?
Group O Sara and her dad visit Yo-Yo Yogurt again. This time, the scale says that Sara has 14
ounces of vanilla yogurt in her cup. Her father’s yogurt weighs half as much. How many
pounds of frozen yogurt did they buy altogether on this visit? Express your answer as a mixed
number.
Group B An art teacher uses 1 quart of blue paint each month. In one year, how many gallons
of paint will she use?
Wednesday, February 15, 2017
Multiplication of a Fraction by a Fraction (Lesson 20)
5.NBT.7
Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings
and strategies based on place value, properties of operations, and/or the relationship between
addition and subtraction; relate the strategy to a written method and explain the reasoning used.
5.NF.4a
Apply and extend previous understandings of multiplication to multiply a fraction or whole
number by a fraction.
Interpret the product of (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as
the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to
show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) ×
(4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
5.NF.6
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by
using visual fraction models or equations to represent the problem.
5.MD.1
Convert among different-sized standard measurement units within a given measurement system
(e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world
problems.
Group A Four members of a track team run a relay race in 165 seconds. How many minutes
did it take them to run the race?
Group O Horace buys 234 pounds of blueberries for a pie. He needs 48 ounces of blueberries
for the pie. How many more pounds of blueberries does he need to buy?
Group B Tiffany is sending a package that may not exceed 16 pounds. The package contains
books that weigh a total of 938 pounds. The other items to be sent weigh 35 the weight of the
books. Will Tiffany be able to send the package?
Thursday, February 16, 2017
Multiplication with Fractions and Decimals as Scaling and Word Problems (Lesson 21)
5.NF.5
Interpret multiplication as scaling (resizing), by:
a. Comparing the size of a product to the size of one factor on the basis of the size of the other
factor, without performing the indicated multiplication.
Explaining why multiplying a given number by a fraction greater than 1 results in a product
greater than the given number (recognizing multiplication by whole numbers greater than 1 as a
familiar case); explaining why multiplying a given number by a fraction less than 1 results in a
product smaller than the given number; and relating the principle of fraction equivalence a/b =
(n×a)/(n×b) to the effect of multiplying a/b by 1.
5.NF.6
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by
using visual fraction models or equations to represent the problem.
Group A 68 is equivalent to 34. How can you use this to help you write 68 as a decimal? Show
your thinking to solve.
Group O A number multiplied by a fraction is not always smaller than the original number.
Explain this and give at least two examples to support your thinking.
Group B Elise has of a dollar. She buys a stamp that costs 44 cents. Change both numbers into
decimals, and tell how much money Elise has after paying for the stamp.
Friday, February 17, 2017
Multiplication with Fractions and Decimals as Scaling and Word Problems (Lesson 22)
5.NF.5
Interpret multiplication as scaling (resizing), by:
b. Comparing the size of a product to the size of one factor on the basis of the size of the other
factor, without performing the indicated multiplication.
Explaining why multiplying a given number by a fraction greater than 1 results in a product
greater than the given number (recognizing multiplication by whole numbers greater than 1 as a
familiar case); explaining why multiplying a given number by a fraction less than 1 results in a
product smaller than the given number; and relating the principle of fraction equivalence a/b =
(n×a)/(n×b) to the effect of multiplying a/b by 1.
5.NF.6
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by
using visual fraction models or equations to represent the problem.
Group A Write a number in the blank that will make the number sentence true.
a. 3 × _____ ˂ 1
b. Explain how multiplying by a whole number can result in a product less than 1.
Group O In a sketch, a fountain is drawn 14 yard tall. The actual fountain will be 68 times as
tall. How tall will the fountain be?
Group B In blueprints, an architect’s firm drew everything 124 of the actual size. The windows
will actually measure 4 ft by 6 ft and doors measure 12 ft by 8 ft. What are the dimensions of the
windows and the doors in the drawing?