Grade 4 Place Value Slides PDF

Alberta - Grade 4 Math Number: How can place value facilitate interpretation of number? Place Value Students apply place value to decimal numbers. LO: Students apply place value to decimal numbers. Knowledge Understanding...

Alberta - Grade 4 Math Number: How can place value facilitate interpretation of number? Place Value Students apply place value to decimal numbers. LO: Students apply place value to decimal numbers. Knowledge Understanding Skills and Procedures For numbers in base-10, each place has one-tenth Decimal numbers are numbers Identify the place value of each digit in a number, the value of the place to its left. between natural numbers. including tenths and hundredths. Decimal numbers are fractions Multiplying or dividing a number by 10 corresponds to Relate the values of adjacent places, including with denominators of 10, 100, shifting place value one position to the left or right, etc. tenths and hundredths. respectively. The separation between wholes Determine the value of each digit in a number, The decimal separator is a point in English and a and parts, including dollars and including tenths and hundredths. comma in French. cents, can be represented using decimal notation. Express numbers, including decimal numbers, Numbers, including decimal numbers, can be Patterns in place value are used using words and numerals. composed in various ways using place value. to read and write numbers, including wholes and parts. Express various compositions of a number, A zero placed to the right of the last digit in a decimal including decimal numbers, using place value. number does not change the value of the number. Recognize decimal notation expressed in English The word and is used to indicate the decimal point and in French. when reading a number. Round numbers to various places, including tenths. LO: Students apply place value to decimal numbers. Knowledge Understanding Skills and Procedures Compare and order numbers, including decimal numbers. Express the relationship between two numbers, including decimal numbers, using , or =. Express a monetary value in cents as a monetary value in dollars using decimal notation. Lesson Breakdown Lesson 1: Introduction to Decimal Numbers and Place Value Lesson 2: Reading and Writing Decimal Numbers Lesson 3: Comparing and Ordering Decimal Numbers Lesson 4: Rounding Decimal Numbers Lesson 5: Decimals and Money Unit Exam  Alberta - Grade 4 Math PLACE VALUE Lesson 1: Introduction to Decimal Numbers and Place Value "I can identify the place value of each digit in a decimal number, including tenths and hundredths." KUSPs in this lesson Knowledge: ❏ For numbers in base-10, each place has one-tenth the value of the place to its left. ❏ Multiplying or dividing a number by 10 corresponds to shifting place value one position to the left or right, respectively. Understanding: ❏ Decimal numbers are fractions with denominators of 10, 100, etc. Skills and Procedures: ❏ Identify the place value of each digit in a number, including tenths and hundredths. ❏ Relate the values of adjacent places, including tenths and hundredths. ❏ Determine the value of each digit in a number, including tenths and hundredths. 123 Number Talk Imagine you have 12 pieces of candy. If you were to share it equally among 4 friends, how many pieces would each friend get? 123 Number Talk Now, what if you had 14 pieces of candy instead? How would you share it equally among your 4 friends with no remainders?  Minds On! Let’s write the following numbers in the place value chart. 231 2310 45876 3 86  Minds On! Let’s find the value of each underlined digit. To find the value, multiply the underlined number by the corresponding place value. 231 2310 45876 3 86  Minds On! How would you put this number in the place value chart? 2508.37  Minds On! You would need a new place value chart! 2508.37 Teacher Introducing… DECIMALS!  Teacher Decimals are a special kind of numbers that we use to show parts of a whole. They have a special dot called a decimal point that separates the whole number part from the smaller parts. We often see decimals when we talk about money or measurements. For example, if we have 1.5 cookies, it means we have one whole cookie and half of another. The number after the decimal point tells us how many smaller parts we have. So, decimals help us understand and talk about things that are not whole numbers, but have smaller parts. Teacher  Teacher Let’s put the following numbers on the place value chart. 188.5 8.17 4720.94 0.56 What is the value of the underlined number?  Partner You will need your: Place Value Chart  Partner Take turns showing the following numbers on your place value chart. After you’ve put the number in your chart, tell your partner what the value of the underlined digit is. Partner A: Partner B: 576.2 3.56 2.95 976.34 14.09 0.12 238.76 98.69 1234.38 3796,01 Game Your Turn! Assess Your Learning Exit Ticket Name Make your own place value chart and put the number 231.94 in the chart.  Alberta - Grade 4 Math PLACE VALUE Lesson 2: Reading and Writing Decimal Numbers "I can express decimal numbers using words and numerals, and recognize decimal notation in English and French." KUSPs in this lesson Knowledge: ❏ The decimal separator is a point in English and a comma in French. ❏ A zero placed to the right of the last digit in a decimal number does not change the value of the number. ❏ The word and is used to indicate the decimal point when reading a number. Skills and Procedures: ❏ Express numbers, including decimal numbers, using words and numerals. ❏ Express various compositions of a number, including decimal numbers, using place value. ❏ Recognize decimal notation expressed in English and in French. 123 Number Talk What is the value of the digit 7 in the number 3.74? Could you show the value using a number, a fraction and a picture? 123 Number Talk What is the value of the digit 7 in the number 3.74? Could you show the value using a number, a fraction and a picture? 7 0.7 10  Minds On! October 1st, 2023 Kristi Chipeniuk fifty-two dollars and twenty-three cents 52.23 Kaila Medina What do you notice about the numbers on this cheque?  Minds On! October 1st, 2023 Kristi Chipeniuk fifty-two dollars and twenty-three cents 52.23 Kaila Medina Why do you think the word “and” is used where the decimal is?  Teacher Reading Decimal Numbers Reading decimal numbers is like reading whole numbers, but with an extra step. The first thing you need to do is look at the numbers before the decimal point. These numbers are just like regular whole numbers. For example, in the number 43.25, the number 43 is read as 'forty-three'. 43.25 Forty-Three  Teacher Reading Decimal Numbers Next, we come to the decimal. Sometimes you will hear people say 'point’ or ‘dot’, but the proper word to say is ‘and’. This tells us that the number coming next is not a whole number, it is just part of a whole number. In our example, we say 'and' after saying 'forty-three'. 43.25 Forty-Three and  Teacher Reading Decimal Numbers Reading the part after the decimal depends on how many place value spots there are. In this example, there are numbers in the tenths AND hundredths spots. We read the number after the decimal as a regular whole number, but we also include the name of final place value spot. In our example, we say ‘forty-three and twenty-five hundredths.’ 43.25 Forty-Three Twenty-Five Hundredths and  Teacher Reading Decimal Numbers If there is only one number after the decimal, you would read it differently. If we take off the 5 in the hundredths spot, you would be left with only 2 tenths. It would be read as ‘forty-three and two tenths.’ 43.2 Forty-Three Two Tenths and  Teacher Reading Decimal Numbers in French In the French language, they replace the decimal with a comma (,). It is read the same way, but looks a little different. 43,2 Forty-Three Two Tenths and  Teacher Let’s practice reading and writing these numbers. 18.3 - 0.94 - 3,11 - 56.9 -  Teacher Write each number in standard form: Forty-six and seven tenths = One hundred seventy-five and one tenth = Four hundred sixty-nine and fifteen hundredths= One thousand five hundred twelve and four tenths = Three hundred thirty and two hundredths = Two hundred seven and ninety-nine hundredths=  Teacher Decimals in Our World Can you say these decimals out loud? Where else do we see decimals in our world?  Partner You will need:  Students will each make one of these cards Example: Front Example: Back Two thousand nine hundred eighty three 2983.07 and seven hundredths.  Question: Partner 2983.07 Quiz Quiz Trade 1. Find a partner. Raise your hand up high to let people know you are looking to pair up. 2. Partner 1 shows Partner 2 the decimal on the card. Answer: Partner 2 will need to say the decimal in words. Partner 1 can give a hint if needed. 3. Partner 2 then asks their question. Partner 1 Two thousand nine responds. hundred eighty three 4. Partners trade cards and find new partners and and seven hundredths. begin again. Your Turn! Assess Your Learning Exit Ticket Name How many different ways can you represent the decimal 57.29  Alberta - Grade 4 Math PLACE VALUE Lesson 3: Comparing and Ordering Decimal Numbers "I can compare and order decimal numbers using the symbols , or =, based on their place value." KUSPs in this lesson Knowledge: ❏ A zero placed to the right of the last digit in a decimal number does not change the value of the number. Understanding: ❏ Decimal numbers are numbers between natural numbers. Skills and Procedures: ❏ Compare and order numbers, including decimal numbers. ❏ Express the relationship between two numbers, including decimal numbers, using ❏ , or =. 123 Number Talk Which number is greater? How do you know? 19 309 19 903 123 Number Talk What symbol could we use to show that a number is greater, less or equal? 19 309 19 903 123 Number Talk What symbol could we use to show that a number is greater, less or equal? 19 309 < 19 903  Minds On! I am thinking of a number… It is greater than 3 It is less than 4 It has a 5 in the tenths place What could my number be?  Minds On! I am thinking of a number… It is greater than 3 It is less than 4 It has a 5 in the tenths place 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3 4  Minds On! I am thinking of a number… It is greater than 3 It is less than 4 It has a 5 in the tenths place Could it be any other number? 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3 4  Minds On! I am thinking of a number… It is greater than 3 3.51 3.52 3.53 3.54 3.55 3.56 3.57 3.58 3.59 It is less than 4 It has a 5 in the tenths place 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3 4  Teacher Let’s use place value to compare these decimal numbers! First: Second: Third: Compare the Compare the Compare the whole numbers tenths digits. hundredths digits. 1.85 1.85 1.85 1.89 1.89 1.85 1.89 < 1.89  Teacher - Comparing Decimal Numbers Complete the questions in your math notebook. Circle the place value that is different. Write the greater number on the line below:  Teacher Compare the two numbers. Stand up and open your arms like the greater than, less than symbols. Face the opening toward the number that is greater. 5.7 6.4  Teacher Compare the two numbers. Stand up and open your arms like the greater than, less than symbols. Face the opening toward the number that is greater. 5.7 Less Than 6.4  Teacher Compare the two numbers. Stand up and open your arms like the greater than, less than symbols. Face the opening toward the number that is greater. 3.15 3.08  Teacher Compare the two numbers. Stand up and open your arms like the greater than, less than symbols. Face the opening toward the number that is greater. 3.15 3.08 Greater Than  Teacher Compare the two numbers. Stand up and open your arms like the greater than, less than symbols. Face the opening toward the number that is greater. 54.3 5.92  Teacher Compare the two numbers. Stand up and open your arms like the greater than, less than symbols. Face the opening toward the number that is greater. 54.3 5.92 Greater Than  Teacher Compare the two numbers. Stand up and open your arms like the greater than, less than symbols. Face the opening toward the number that is greater. 7.20 7.2  Teacher Compare the two numbers. Stand up and open your arms like the greater than, less than symbols. Face the opening toward the number that is greater. 7.20 7.2 Equal To  Teacher Compare the two numbers. Stand up and open your arms like the greater than, less than symbols. Face the opening toward the number that is greater. 10.00 10.01  Teacher Compare the two numbers. Stand up and open your arms like the greater than, less than symbols. Face the opening toward the number that is greater. 10.00 Less Than 10.01  Teacher Compare the two numbers. Stand up and open your arms like the greater than, less than symbols. Face the opening toward the number that is greater. 4.75 4.75  Teacher Compare the two numbers. Stand up and open your arms like the greater than, less than symbols. Face the opening toward the number that is greater. 4.75 4.75 Equal To  Teacher We could also use a picture to visually see which decimal is greater. 0.5 0.7 Teacher 0.5 0.7 Teacher 0.91 0.44 Teacher 0.91 0.44 Teacher 0.60 0.6 Teacher 0.60 0.6  Teacher We could also use a number line to visually see which decimal is greater. 7. 7.4  Teacher We could also use a number line to visually see which decimal is greater. 7. 7.4 Teacher.99 1.0 Teacher.99 1.0  Teacher Put these decimals in order from least to greatest. 2.4 2.41 3.02 2.19  Teacher Put these decimals in order from least to greatest. 2.19 2.4 2.41 3.02  Teacher Put these decimals in order from greatest to least. 2.4 2.41 3.02 2.19  Partner You will need: Long Strip of Paper Pencil  Partner Make a number line from 12 - 14. Include all the tenths between the numbers. Here’s an example to get you started! 12 13 14 12.1 12.2 Put a dot to show the place of each of the following numbers: 12.7 12.2 14.0 13.75 12.99  Partner Say the numbers in order from least to greatest: 12 13 14 12.1 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9 13.1 13.2 13.3 13.4 13.5 13.6 13.7 13.8 13.9 12.2 12.7 12.99 13.75 14.0  Game You will need your: 10, J, Q, K - Removed A= 1  Game Players place 3 cards on their decimal war mat. The player with the greatest decimal number wins and takes all the cards for that round. Play until time is up or until one player runs out of cards. ＞ Game Your Turn! Assess Your Learning Exit Ticket Name Make your own number line from 4.5 to 4.7. Show the tenths and hundredths in between.  Alberta - Grade 4 Math PLACE VALUE Lesson 4: Rounding Decimal Numbers "I can round decimal numbers to various places, including tenths, using appropriate rounding strategies." KUSPs in this lesson Skills and Procedures: ❏ Round numbers to various places, including tenths. 123 Number Talk Is the number 9.6 closer to 9 or 10? Draw a number line to show your thinking. 123 Number Talk Is the number 9.6 closer to 9 or 10? Draw a number line to show your thinking. 123 Number Talk Is the number 9.6 closer to 9 or 10? Draw a number line to show your thinking.  Minds On! The length of the pencil is somewhere between 20cm and 21cm. What could the length of the pencil be?  Minds On! The length of the pencil is somewhere between 20cm and 21cm. The length is closer to 20cm than it is to 21cm. What could the length of the pencil be?  Minds On! The length of the pencil is somewhere between 20cm and 21cm. The length is closer to 21cm than it is to 20cm. What could the length of the pencil be?  Minds On! The length of the pencil is somewhere between 20cm and 21cm. The length is exactly in the middle between 20cm and 21cm. What could the length of the pencil be? Teacher Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Round 123 to the nearest ten. 1 2 3 Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Round 123 to the nearest ten. What is the target number? 1 2 3 Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Round 123 to the nearest ten. 1 2 3 Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Round 123 to the nearest ten. Numbers stay Numbers will become zeroes the same but have an important job first! 1 2 3 Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Round 123 to the nearest ten. Numbers stay Numbers will become zeroes the same but have an important job first! 1 2 3 Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Round 123 to the nearest ten. Numbers stay Numbers will become zeroes the same but have an important job first! 1 2 3 Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Round 123 to the nearest ten. Numbers stay Numbers will become zeroes the same but have an important job first! 1 2 0  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! 123 rounded to the nearest ten is 120! 1 2 0  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Round 15.77 to the nearest tenth. 1 5. 7 7  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Round 15.77 to the nearest tenth. What is the target number? 1 5. 7 7  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Round 15.77 to the nearest tenth. 1 5. 7 7  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Numbers Round 15.77 to the nearest tenth. will become zeroes but have Numbers stay an important the same job first! 1 5. 7 7  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Numbers Round 15.77 to the nearest tenth. will become zeroes but have Numbers stay an important the same job first! 1 5. 7 7  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Numbers Round 15.77 to the nearest tenth. will become zeroes but have Numbers stay an important the same job first! 1 5. 8 7  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Numbers Round 15.77 to the nearest tenth. will become zeroes but have Numbers stay an important the same job first! 1 5. 8 0  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! 15.77 rounded to the nearest tenth is 15.80! 1 5. 8 0  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! Round 389.56 to the nearest whole number (one). 3 8 9. 5 6  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases by 1! Round 389.56 to the nearest whole the same! number (one). What is the target number? 3 8 9. 5 6  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases by 1! Round 389.56 to the nearest whole the same! number (one). 3 8 9. 5 6  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases by 1! Round 389.56 to the nearest whole the same! number (one). Numbers stay Numbers will become zeroes but have an the same important job first! 3 8 9. 5 6  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases by 1! Round 389.56 to the nearest whole the same! number (one). Numbers stay Numbers will become zeroes but have an the same important job first! 3 8 9. 5 6  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases by 1! Round 389.56 to the nearest whole the same! number (one). Numbers stay Numbers will become zeroes but have an the same important job first! Because the number 9 is in the ones place and that is the highest number you can have in a place value, the tens will increase by 1 and the ones will become a 0. 3 8 9. 5 6  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases by 1! Round 389.56 to the nearest whole the same! number (one). Numbers stay Numbers will become zeroes but have an the same important job first! Because the number 9 is in the ones place and that is the highest number you can have in a place value, the tens will increase by 1 and the ones will become a 0. 3 9 0. 5 6  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases by 1! Round 389.56 to the nearest whole the same! number (one). Numbers stay Numbers will become zeroes but have an the same important job first! 3 9 0. 0 0  Teacher 1, 2, 3, 4 5, 6, 7, 8, 9 target number stays target number increases the same! by 1! 389.56 rounded to the nearest whole number is 390.00 or just 390 3 9 0. 0 0  Partner You will need your: Place Value Chart  Partner Work together to round the following numbers using your place value chart. Round 576.2 to the nearest hundred Round 2.95 to the nearest whole number. Round 14.09 to the nearest tenth. Round 238.76 to the nearest ten. Round 1234.32 to the nearest tenth.  Game *See speaker notes for the link to this game! Click “Play Decimals” Click the area closest to the net to start (easy) Your Turn! Assess Your Learning Exit Ticket Name Round the number 5243.51 to the following place values: Thousands: Hundreds: Tens: Ones: Tenths:  Alberta - Grade 4 Math PLACE VALUE Lesson 5: Decimals and Money “I can express monetary values in decimal notation and represent them accurately in the context of money” KUSPs in this lesson Understanding: ❏ The separation between wholes and parts, including dollars and cents, can be represented using decimal notation. Skills and Procedures: ❏ Express a monetary value in cents as a monetary value in dollars using decimal notation. 123 Number Talk How many different ways can you make 5 dollars? Draw and label the coins and bills you use.  Minds On! Let’s review some of the Canadian coins and bills!  How would we count a collection of coins and bills?  Teacher Step 1: Organize them!  Teacher Step 1: Organize them!  Teacher Step 2: Count the dollars 23 dollars  Teacher 25 Step 3: Count the cents + 10 + 5 + =45 5 23 dollars cents  Teacher Step 4: Write the total - 23 dollars and 45 cents $ (dollars go here) (cents go here) Dollar Sign Decimal  Teacher Write the dollar amount for: $ (dollars go here) (cents go here) Dollar Sign Decimal  Teacher Write the dollar amount for: $ (dollars go here) (cents go here) Dollar Sign Decimal  Teacher Write the dollar amount for: $ (dollars go here) (cents go here) Dollar Sign Decimal  Partner You will need: Math notebook bag of coins and bills  Partner 1. Grab a handful of bills and coins from your bag. 2. Sketch the bills and coins in your notebook. 3. Write the total.  Game *See speaker notes for the link to this game! Click “Begin Game” Read the speech bubble. Give the correct amount of change by clicking on the coins and pressing “Give Change” when you are finished. Your Turn! Assess Your Learning Exit Ticket Name Draw the bills and coins for: Fifty-Two dollars and thirty-five cents and write the total in numbers. UNIT EXAM Credit: Click on the logos to check out these artists work.