Grade 5 Mathematics

Grade 5 Mathematics Unit 6: Decimals on Grids and Number Lines CCSS and Assessment Learning Target Examples 5.NBT. Read and write decimals to thousandths using base-ten numerals, Standard Form: 185.981 3a number names, and expanded form. Word Form: one hundred eighty-five AND nine hundred N1A5 Read, write and compare decimals to thousandths (including location on the number line). eighty-one thousandths

Expanded Form: Write the number using place value. (1 x 100) + (8 x 10) + (5 x 1) + (9 x 1/10) + (8 x 1/100) + (1 x 1/1000)

Write three and forty-two thousands. 3.042

Write 42.065 in word form. Forty-two and sixty-five thousands.

In the number 326.789, what is the value of the 8? 8 hundredths

Review your notes about how to locate a decimal on a number line.

5.NBT. Compare two decimals to thousandths based on meanings of the To Compare: 3b digits in each place, using >, =, and < symbols to record the results of Line up the numbers with the decimals points. Check to comparisons. make sure that each has the same number of place values Order decimals to thousandths based on meanings of the digits in represented. If not, add the place holder 0, and then each place. compare.

9.065 _____ 9.605 The answer is < because when comparing 65 to 605 it is less.

4.329 _____4.4 The answer is <. You will need to add two 00s to the right of the last digit so that you can compare these numbers. Then compare 329 to 400. 329 is less than 400.

9.22 _____ 9.220 The answer is =. Add one 0 to the right of the last digit on the first number, then compare. 220 is = to 220

To Order: Order the following decimals from greatest to least.

0.5 0.7 0.45 0.125

0.7, 0.5, 0.45, 0.125

•First, stack up the numbers you want to compare. •Then, add any place holder 0s so that each of the decimal numbers has the same number of digits. •Compare the decimals numbers as if they are whole number values. •Order the numbers according to the directions.

Study Guide created by Debi Fitzgerald 1/27/13 5.NBT. Justify the reasonableness of sums and differences of decimals using Megan biked 2.6 miles from her home to a friend’s house. 7 mental computation and estimation strategies. Then she biked 3.1 miles to a store. About how many miles did she drive in all?

Do not calculate the exact mileage. Round 2.6 to 3 and 3.1 to 3, then add. The answer is ABOUT 6 miles.

You will need to be able to round to units, tenths, hundredths. To justify your answer, you will need to be able to explain which strategy you used to estimate the sums and differences and why you chose that strategy. Review the estimation strategies: rounding, front-end estimation.

5.NBT. Use place value understanding to round decimals to the nearest unit, Which number rounds to 30.86 when rounded to the nearest 4 tenth, and hundredth. hundredth?

A 30.9

B 30.85

C 30.865

D 30.861

First, add 0s to the right of the digits in A and B. Then use the rounding strategy. Look at the digit in the thousandths place and if it is 0-4, keep the digit in the hundredths place the same. If it is 5-9, increase the digit in the hundredths place by 1.

30.900 0, leave the hundredths digit as 0. 30.90

30.865 5, increase the hundredths digit by 1. 30.87

Therefore, 30.861 is the correct choice.

The number 5.571 has been graphed on the number line below. What is this number rounded to the nearest whole number?

The key words are NEAREST WHOLE NUMBER. When rounding 5.571, look at the tenths place. It is a 5, so following the rounding strategy, increase the UNITS digit by 1. The nearest WHOLE NUMBER would be 6.

Study Guide created by Debi Fitzgerald 1/27/13 5.NBT. Add decimals to hundredths, using concrete models or drawings and Add 5.2 to 47.85. Show your work. 7 strategies based on place value, properties of operations, and/or the relationship between addition and subtraction. Explain the method 1. First line up the numbers so that the decimal points are in used. Demonstrate fluency with efficient procedures for adding the same place . decimals. 2. Add a 0 to the right of the last digit in numbers so that all have the same number of digits. 3. Now add.

5.20 +47.85 53.05 5.NBT. Subtract decimals to hundredths, using concrete models or drawings At the Atomic Speedway the purple car’s lap time to the 7 and strategies based on place value, properties of operations, and/or nearest hundredth was 40.05 seconds and the orange car’s lap the relationship between addition and subtraction. Explain the time to the nearest hundredth was 40.23 seconds. How much method used. Demonstrate fluency with efficient procedures for faster in seconds to the nearest hundredth did the purple car subtracting decimals. run than the orange car?

1. First line up the numbers so that the decimal points are in the same place . 2. Add a 0 to the right of the last digit in numbers so that all have the same number of digits. 3. Now subtract.

40.23 - 40.05 .18

The answer is that the purple car ran .18 seconds faster than the orange car. Pretty fast!

M1D5 Count and compute money. Roy is buying two posters. One poster costs $5.33 and the second costs $11.52. How much more does the second cost than the first?

When adding and subtracting with money, use the same strategies that you use to add/subtract for decimals. Line up the decimal points and subtract. Remember, money is represented by tenths and hundredths as the decimal numbers. When reporting your answer, you MUST label it with the $ symbol.

$11.52

- 5.33

$ 6.19

Sam bought a CD for $15.98. How much change should Sam get from a $20 bill?

$20.00 - 15.98 $ 4.02 M2A5 Estimate a measurement using either standard or non- standard unit of Which of the following is NOT an appropriate unit to measure measurement. Select and use benchmarks to estimate measurements (linear, capacity, weight). the capacity of a drinking glass?

Study Guide created by Debi Fitzgerald 1/27/13 A fluid ounces

B gallon

D pint

You will need to be able to identify the appropriate unit of measurement for a variety of circumstances. In this case, the gallon would be too large to measure the capacity of a drinking glass. You could measure the number of fluid ounces, or that a drinking glass held 1 cup (8 oz) or a pint (16 oz) but knowing that a gallon is the same as 128 ounces, the likelihood that a glass would be that large is not likely.

Review your measurement charts so that you have a visual of how small/large each is compared to those of the same type.

5.MD. Convert among different-sized standard measurement units within a Review your units of measurement for both standard and metric that 1 given measurement system, including km, m, cm; kg, g; lb, oz.; l, ml; we practiced in class. Your math log book should also include gal, qt, pt, cup; hr, min, sec. examples. M1B5 Identify equivalent measures (metric mass) and capacities. M2E5 A punch recipe calls for 1 gallon of fruit juice. Is 9 pints of juice more or less than 1 gallon? ** It is more. There are 8 pints in a gallon.

Sute's cat weighs 8 pounds 8 ounces. What is the weight of Sute's cat in ounces?

** Each pound is equal to 16 ounces. (8 x 16 = 128) + the 8 ounces. 128 + 8 = 136 ounces

5.MD. Use measurement conversions to solve multi-step, real world See the above examples and review your practice pages with word 1 problems. problems. 5.NBT. Recognize that in a multi-digit number, a digit in one place represents A microscope shows an object 100 times its size. If an 1 10 times as much as it represents in the place to its right and 1/10 of object appears to be 30 millimeters long in the microscope, what it represents in the place to its left. how many millimeters long is the object? 5.NBT. Mentally multiply and divide a number by a power of 10 (decimals). 2 A 30mm

B 0.3mm ******

C 3.0mm

D 300mm

Review the information about place value, specifically your place value chart and your metric measurement chart. Remember that each “place” increases in value by 10x when you move to the left, and decreases by 10x when you move to the right.

2.OA.2 Maintain fluency with basic addition facts within 20. Practice your math facts using flash cards or one of our websites. 2.OA.2 Maintain fluency with basic subtraction facts within 20 Practice your math facts using flash cards or one of our websites.

Study Guide created by Debi Fitzgerald 1/27/13