Fifth Grade Numbers and Operations in Base 10

Essential Skills and Knowledge	Teacher Resources	Student Resources
Understand the place value system.
5.NBT.A.1
Recognize that in a multi-digit number, a digit in one place represent 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.	What is Place Value for Whole Numbers? Use this teacher video to explain the representation of place value as 10 times as much. Place Value for Decimals This site includes an explanation of the value of decimals place values and also includes questions that can be utilized to check student understanding. Place Value In these LearnZillion video lessons, students will recognize the value of digits in a multi-digit number. Note: Login to Learnzillion's FREE account before selecting link Determine the value of a digit in the thousandths place Understand that place value increases ten times with each shift to the left in a multi-digit number Use the number lines to show increases in place value with each shift to the left in a multi-digit number Use base ten blocks to understand how place value decreases with each shift to the right in a multi-digit number Use number lines to show decreases in place value with every shift to the right in a multi-digit number Recognize place value relationships by multiplying and dividing by ten Understand the value of a digit using a place-value chart Understand the value of a digit in a decimal number	Comparing Digits Students will use place value to compare the values of digits. Three questions to make you think about your knowledge of number sense. Modeling Decimals with Base Ten Blocks Use the Gizmo for a 5 minute block of time. Modeling decimals with Base Ten Blocks Students will add base ten blocks to create a decimal. Model decimals with Base Ten Blocks Show what you know. How do you represent decimals with base ten blocks? Place Value Card Matching Find matching pairs of numbers in different forms.
5.NBT.A.2
Explain patterns in the number of zeros of the product when multiplying a number by a powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.Explain patterns in zeros and decimals when multiplying and dividing by powers of 10	Exponent Game Flip cards and roll dice to beat your opponent Powers of Ten In these LearnZillion video lessons, students will explain patterns in zeros when multiplying or dividing by a power of ten. Note: Login to Learnzillion's FREE account before selecting link Explain patterns in zeros when multiplying by a power of ten Represent powers of 10 using whole number exponents Explain patterns in the placement of the decimal point when a decimal is multiplied by a power of 10 Explain patterns in the placement of the decimal point when dividing a decimal by powers of 10 Understand how multiplication by a power of ten causes decimal shifts Understand how division by a power of ten causes decimal shifts *Explain patterns in zeros and decimals when multiplying and dividing by powers of 10 Unit 1 Science Connection: Scientific Notation Explained Cosmic Voyage - the powers of ten Powers of Ten - it shows students not only the power of ten but also the expanded form version. The video also scales down and goes into -10^x (similar to dividing by a power of 10).	Comparing exponential and standard notation numbers Compare the numbers to determine if they are greater than, less than, or the same. (Note this is challenging.) Exponents Expressions How fast can you go to evaluate exponent expressions? Test your skills with this activity. Multipication and Division Patterns with Powers of Ten Match standard and exponential forms
5.NBT.A.3
Read, write and compare decimals to thousandths.	Decimal Place Value This slideshow walks through the steps of naming decimals.	Decimal Place Value Take this quiz to correctly identify the correct for m of the decimal presented. Decimals of the Caribbean Blast the enemy ships by identifying the correct decimal. Place Value Strategy Try to form the greater decimal by placing numbers from the spinner into the place value table. Play against the Robot or another student. Treasure Hunter Decimals on a number line. Use the Gizmo for a 5 minute block of time. Olympic Decimals Use statistics from past olympic events to conduct research about changes over time.
5.NBT.A.3.A
Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g. 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x )1/10) + 9 x (1/100) + 2 x (1/1000).	Converting Units of Measure In these LearnZillion video lessons, students will read and write decimals to the thousandths. Note: Login to Learnzillion's FREE account before selecting link Represent decimal values to the thousandths using base ten blocks Read and write decimals to the thousandths using a place value chart *Write decimals in expanded form Video Lesson on decimal expanded form This video from Kahn Academy gives a tutorial on writing decimals in expanded form.	Representing Decimals Beat the Clock Identify the correct decimal for the shaded part of each square. Different levels and different speeds are available to challenge your abilities and skills. Read and Write Decimals Apply your knowledge of expanded from of whole numbers to decimals by following this lesson and examples. Be sure to complete the "Exercises" at the end. Place Value Practice You will need paper and pencil to complete the activities. Check your answers when you are done. Rags to Riches Test your knowledge of decimal place value in a quest for fame and fortune. Decimal Place Value Fruit Splat Find the correct expanded form of different decimals to squash the fruit.
5.NBT.A.3.B
Compare two decimals to thousandths based on meanings of the digits in each place using >, = and < symbols to record the results of comparisons.	Comparing and Ordering Decimals Complete a circle map then learn the steps to comparing decimals. Comparing Decimals In these LearnZillion video lessons, students will compare two decimals to thousandths using >, =, and <. *Note: Login to Learnzillion's FREE account before selecting link* Compare decimals using fractions Compare decimals using a number line *Compare decimals using base ten blocks	Make the number sentence true Choose greater than (>), less than (<) or equal to (=) sign to make the number sentence true. Practice all three levels (tenths, hundredths and thousandths). Comparing Decimals Compare decimals by choosing <, >, or =. Comparing Decimals in multiple forms Use <,>, or = to compare decimals in multiple forms.
5.NBT.4
Use place value understanding to round decimals to any place.	Rounding Whole Numbers and Decimals This interactive slideshow gives you practice on rounding whole numbers and decimals. Rounding Decimals In these LearnZillion video lessons, students will round decimals to any place value. Note: Login to Learnzillion's FREE account before selecting link Represent decimal numbers on a number line Round decimals to the nearest whole number Round decimals to the nearest tenth Round decimals to the nearest hundredth *Round decimals to any place		Rounding Decimals with Soccer Practice your knowledge about rounding decimals to the nearest whole numbers. You have to answer each question correctly to get a chance to kick the ball. Rounding Decimals with Baseball Students will practice their knowledge about rounding decimals. You need to get a homerun to be able to answer a math question. This is great if you like a challenge. Scooter Quest Use your knowledge of rounding decimals to help deliver newspapers to the correct house.
Perform operations with multi-digit whole numbers with decimals to hundredths.
5.NBT.B.5
Fluently multiply multi-digit whole numbers using the stand algorithm.	Multiplying Two Digits By Two Digits This quiz challenges your ability to multiply 2 digit numbers. Area Model Smart Response activity requires the students to identify the correct partial products within an area model. Lattice Multiplication This web site shows the steps to complete a multiplication problem using the lattice method. Multiplying Greater Numbers Challenge your knowledge of multiplying larger numbers. Fluently Multiply In these LearnZillion video lessons, students will use the standard algorithm for multiplication of multi-digit number. Note: Login to Learnzillion's FREE account before selecting link *Use the standard algorithm for multiplication of multi-digit numbers	Multiplication Tic-Tac-Toe Solve multiplication problems to make 3 in a row. Two Digit Multiplication Practice Solve the partial products and add to find the final product. Standard Algorithm Missing Digits Use your knowledge of the standard algorithm to find the missing digits from each problem.
5.NBT.B.6
Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and /or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and /or area models.	Interpreting Quotients Practice interpreting quotients with a quiz. Connecting Symbols and Models Practice with a quiz Two Digit Divisors Practice with a quiz. Two Digit Quotients Practice with 2 digit quotients including a quiz. Division and Divisibility Song Motivational tool to introduce division. Finding Quotients In these LearnZillion video lessons, students will find whole number quotients with up to 4-digit dividends and 2-digit divisors. Note: Login to Learnzillion's FREE account before selecting link Divide 4-digit dividends by 2-digit divisors by setting up an equation Divide 4-digit dividends by 2-digit divisors by estimating and adjusting the quotient Use an area model for division of 4-digit dividends by 2-digit divisors Divide 4-digit dividends by 2-digit divisors by using a rectangular array *Divide 4-digit dividends by 2-digit divisors by using expanded notation	Draggable Division This website allows you to drag numbers into a problem as you work toward your quotient. Modeling Division Use an array to model division. Division Tic-Tac-Toe Solve division problems to get 3 in a row. Partial Quotient Puzzle Can you determine where the different numbers go in the partial quotient problem?
5.NBT.B.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 methods and explain the reasoning used.	Adding and Subtracting Decimals Running Time 7:33 *Note: If the link does not open, be sure to login to aacps.discoveryeducation.com* Adding Whole Numbers and Decimals This quiz reviews adding whole numbers and decimals. Adding Decimals Roller Coaster Problem Note: If the link does not open, be sure to login to aacps.discoveryeducation.com Maths Mansion: Show 30: Another Sad Hair Day Running Time 9:18 Note: If the link does not open, be sure to login to aacps.discoveryeducation.com Dividing Decimals Running Time: 5:55 Note: If the link does not open, be sure to login to aacps.discoveryeducation.com Dividing Decimals This notebook gives information and practice on dividing decimals by powers of ten. Dividing Decimals by Whole Numbers Examples and practice of dividing decimals by a whole number. Dividing Decimals This quiz challenges your knowledge of dividing decimals. Adding, Subtracting, Multiplying and Dividing Decimals In these LearnZillion video lessons, students will add, subtract, multiply and divide decimals. Note: Login to Learnzillion's FREE account before selecting link Estimating the addition and subtraction of decimals using smart rounding Add decimals using base ten blocks Subtract decimals using base-ten blocks Add decimals using a number line Subtract decimals using a number line Multiply decimals to the hundredths by using fractions Multiply decimals by whole numbers by using an area model Use multiplication to multiply decimals by decimals Multiplying whole numbers and decimals using an area model Divide decimals using knowledge of multiplication	Adding Decimals Use decimal models to add with this website activity. Subtracting Decimals Game Basketball game that uses subtraction of decimals. Subtracting Decimals Soccer Score big points with great aim and some great math! Rope Tug Try to pull the other player into the pit. To do so, you must correctly calculate the difference in the decimals, the greater the difference, the greater the distance gained. Multiple levels are available, so challenge your skills. Multiplying Decimals by Whole Numbers Use patterns to multiply a whole number by a decimal. Power Football Answer the multiplication problem correctly to kick the ball down the field. Decimal Speedway Be the first to race your car across the finish line on the speedway by correctly determining the product of the spinner and the decimal playing card. You'll also have to know how to add decimals to correctly place your car on the track. Buckle up for a fun ride! Dividing Decimals Use models to divide decimals. Estimating Decimal Products This interactive notebook gives practice on estimating decimal products.

Top

Teacher Notes

Number and Operations in Base 10 Activities	Website/Activity	Content Standards/Technology Standards
Comparing Digits Expanded Form Recognize the value of digits in a multi-digit number using number lines and base ten blocks Recognize and compare the value of digits in a multi-digit number, including decimal numbers		Common Core: 5.NBT.A.1 Recognize that in a multi-digit number, a digit in one place represent 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Exponent Game Comparing exponential and standard notation numbers Exponents Expressions Explain and represent patterns in zeros when multiplying or dividing by a power of ten Explain the effect of multiplication and division by a power of ten on the number of zeroes Explain patterns in zeros and decimals when multiplying and dividing by powers of 10		Common Core: 5.NBT.A.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole number exponents to denote powers of 10.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Decimal Place Value Decimals of the Carribean Decimal Place Value		Common Core: 5.NBT.A.3 Read, write and compare decimals to thousandths.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Read and write decimals to thousandths using base-ten numerals Read and write decimals to the thousandths Read and write decimals to the thousandths in numeric, word, and expanded form		Common Core: 5.NBT.A.3.A Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g. 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x )1/10) + 9 x (1/100) + 2 x (1/1000).
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Comparing and Ordering Decimals Comparing Decimals Make the number sentence true Compare two decimals to thousandths using >, =, and < Compare and order decimals		Common Core: 5.NBT.A.3.B Compare two decimals to thousandths based on meanings of the digits in each place using >, = and < symbols to record the results of comparisons.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Rounding Whole Numbers and Decimals Rounding Decimals with Soccer Rounding Decimals with Baseball Round decimals to any place Round decimals to any place using number lines		Common Core: 5.NBT.A.4 Use place value understanding to round decimals to any place.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Multiplication Tic-Tac-Toe Multiplying Two Digits By Two Digits Lattice Multiplication Area Model Multiplying Greater Numbers Use the standard algorithm for multiplication of multi-digit numbers		Common Core: 5.NBT. 5 Fluently multiply multi-digit whole numbers using the standard algorithm.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Interpreting Quotients Connecting Symbols and Models Draggable Division Modeling Division-2 Digit Divisors Division Tic-Tac-Toe Two Digit Quotients Find whole number quotients with up to 4-digit dividends and 2-digit divisors		Common Core: 5.NBT.6 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Adding Decimals Adding Decimals (Please note that Discovery Streaming Videos must be downloaded prior to use as per AACPS guidelines.) Adding and Subtracting Decimals (Please note that Discovery Streaming Videos must be downloaded prior to use as per AACPS guidelines.) Subtracting Decimals Game Subtracting Decimals Soccer Multiplying Decimals by Whole Numbers Maths Mansion: Show 30: Another Sad Hair Day (Please note that Discovery Streaming Videos must be downloaded prior to use as per AACPS guidelines.) Dividing Decimals Estimating Decimal Products Dividing Decimals Dividing Decimals by Whole Numbers Dividing Decimals Dividing Decimals Multiply and divide by decimals to the hundredths Adding and subtracting decimals to hundredths		Common Core: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
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.

Top