Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Lesson Plans Monday, September 9th Genece S. Porter Area of Instruction Lesson Gym/Breakfast/Restroom Mrs. Porter’s Homeroom Mrs. Easterling’s Homeroom Ms. Williams’ Homeroom Fantastic Five/ Mental Math/Review Homework/ Teacher-Directed Math/Guided/ Independent Practice/Small Group/Closure/ Homework assigned 5.NBT.3 Read, write, and compare decimals to thousandths. 5.NBT.3a 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). 5.NBT.3b Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of TSW unpack and complete their respective day’s Fantastic Five. At 7:45, TCW go over the Fantastic Five. Early Finishers will complete their Enrichment Folders. Using the Four-Step Plan-Plan to solve problems 1. Understand-Students determine what information they know and what they need to find. 2. Plan-Students plan how they will solve the problem and what strategy they will use. 3. Solve-Students carry out their plan, completing the steps required to solve the problem. 4. Check-Students check to see if their answer is correct. This can include checking answers for reasonableness, using estimation, or solving the problem another way. Other strategies Other strategies that have been taught in previous years and that students may choose to use on the Review the Strategies page are: Make a table. Act it out. Review Problem of the Day-Maddie is twice as old as Julio. Maddie is half as old as Gabriella. Julio is 8 years old. How old are Gabriella and Maddie? Explain your solution. (8 x 2 = 16, so Maddie is 16.) (16 x 2 = 32, so Gabriella is 32.) Have students look back at the problem they solved and describe the strategy they used. Prepare-Write the following on the board and read aloud with the class. Sara is training for a 50-mile bicycle race. She rides 9 miles every weekday and 15 miles every weekend day. About how many miles does she ride each week? (about (10 x 5) + (15 x 2) or 80 miles) comparisons. Do you need an estimate or an exact answer? Explain. (estimate; The problem asks about how many miles Sara rides each week.) Mathematical Practices 1, 3, 6 Learn the Strategy-Page 61 Have students read the problem on the student page. Guide them through the problem-solving steps. 1. Understand-Have students underline information they know from the problem and circle what they need to find. 2. Plan-Have them discuss their strategy. 3. Solve-Guide students to use the four-step plan to solve. How do you find which sandpaper has the smallest grain? (Line up the decimal points and compare.) Victor bought 2 packages of the smallest-grain sandpaper. How much did he spend? Explain. (2 x $20 = $40) How do you find the number of packages of the largest-grain sandpaper Victor bought? (Subtract the amount spent on the smallest-grain sandpaper packages and divide by the cost of the largest-grain sandpaper package.) How many packages of the largest grain sandpaper did he buy? (3 packages) Have students check their work to see if their answer makes sense. Have students share their explanations with a partner. Practice the Strategy-Page 62 1. Understand-Review what students know and what they need to find. 2. Plan-Have them discuss their strategy. 3. Solve-Guide students to the four-step plan to solve. How many different lengths of ribbon are discussed in the problem? What are they? (3 lengths; 34 inches, 13 inches, and 39 inches) How much ribbon did Luisa use on the two gifts? (2 x 34 = 68; 68 inches) How much ribbon did Luisa use on the two gifts and the scrapbook page altogether? (68 + 13 = 81; 81 inches) How much ribbon did Luisa have originally? Explain. (39 + 13 + (2 x 34) = 120 inches) 4. Check-Have students look back at the problem to make sure that the answer fits the facts given. Apply the Strategy-Page 63 Exercise 3-Have students discuss how to prove that their answer is correct. Review the Strategies-Page 64 Make a Table-Making a table is a good way for students to organize information to solve a problem. This problem-solving strategy helps students to compare information. Act it Out Acting out a problem allows students to visually and/or physically represent a problem with manipulatives. This problem-solving strategy is particularly useful in working with measurement and fractions. Exercise 6-Have students show which strategy they used to solve the problem. Demonstrate to students that using different strategies will produce the same answer. After solving Exercise 10, try to solve it again using a different strategy. Show your work. Summarize Tell students to write a short summary about the four-step plan. Then have them write the answer to the following problem. The Missouri River is 2,540 miles long. The Mississippi River is 3,710 miles long and the Colorado River is 1,450 miles long. Which river is the longest? (Mississippi River) Guided/Independent Practice Pgs. 61-64 Homework-Workbook Pgs. 65-66 on Problem Solving Play and socialize unless it is raining, then TSW play math games and socialize in the classroom. Arts TCW go to lunch, and the students will take turns going to the restroom Recess Activity Lunch Pack up/dismiss Lesson Plans Tuesday September 10th Lesson Area of Instruction Gym/Breakfast/Restroom Mrs. Porter’s Homeroom Mrs. Fantastic Five/ Mental Math/Review Homework/TeacherDirected Math/Guided/ Independent Practice/Small Group/Closure/ Homework assigned TSW unpack and complete their respective day’s Fantastic Five. At 7:45, TCW go over the Fantastic Five. Early Finishers will complete their Enrichment Folders. Activity Draw a simple factor tree for 50. Show how this number can be reduced to its prime factors, 2, 5, and 5. Easterling’s Homeroom Ms. Williams’ Homeroom 5.NBT.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. Mathematical Practices 1,3,4,7 Explain to students that this diagram represents the prime factorization of 50. Remind students that prime number is a number that has only two factors, 1 and itself. Tell the class that the suffix –tion indicates an action. Although factorization is a noun, it indicates that something is being done. Tell students if they think of breaking a number into prime factors using a factor tree, this visualization can help them recall the meaning of prime factorization. Review Problem of the Day Three numbers have a sum of 45. The greatest of the 3 numbers is 2 greater than the least number. What are the numbers? (14, 15, 16)Explain how you solved for your answer. (I know that the numbers must be consecutive. Since 15 + 15 + 15 = 45, I used the “guess, check, and revise” method for numbers around 15.) Model the Math Write the number 40 on the board. Draw two branches stemming down from the number. Ask one student to come to the board. Write two factors of 40, one factor at the end of each stem. Ask other students to come to the board until the factor tree is completed. Have students continue writing the factors of 40 until the tree is complete. When the tree is completed, This is called a factor tree. Why is it called a tree? Discuss the students’ ideas. Would we have a different list of prime factors if we started with two different factors? Why? (No; No matter what two factors you start with, the prime factorization will always be the same.) Math in My World Example 1- page 81 What is a prime number? What are factors? (a number that has only two factors: 1 and itself; two or more numbers multiplied to form a product) Read Example 1 to the students. Is 36 a prime or composite number? (composite) How do you know? (It has more than two factors.) Work through the steps on the page with students. Step 1: Write the number to be factored at the top. Step 2: Choose any pair of whole number factors of 36. Step 3: Continue to factor any number that is not prime. (Is 2 x 2 x 9 the prime factorization of 36? How can you tell? (No; 9 is not a prime number.) Continue factoring until all numbers are prime numbers. Step 4: Except for the order, the prime factors should be the same. What is the prime factorization of 36? (2 x 2 x 3 x 3) Let’s check our answer by multiplying the factors together. Were we correct? (yes) Have students explain why multiplying the factors together to check their results is an accurate strategy to use for prime factorization. Example 2-page 82 Continue the same process with the number 24. Help students fill in their factors on the factor tree. Remind students to check their answer after completing the factor tree. Guided Practice Work through the Guided Practice exercise together. Check to make sure students completely factor the composite number until they are left with prime factors. Talk Math Look for Patterns: What are the first ten prime numbers? (2, 3, 5, 7, 11, 13, 17, 19, 23, 29) Independent Practice-Page 83 Problem Solving-Page 84 Exercise 17- Factoring a 4-digit number can seem difficult, but if students start with a number they know, it will not seem so difficult. If students are struggling, have them start with 2 x 1,400. Exercise 18-Ask students to build upon their understanding of concepts needed to answer the chapter Essential Question. Have students discuss their response with a peer before sharing their responses with the entire class. Write the following prompt on the board: Is 2 x 3 x 12 is a possible answer for the prime factorization of a number? Explain. (No; 12 is a composite number) Guided/Independent Practices Pgs. 81-84 Homework-Workbook Pgs. 85-86 on Prime Factorization Recess Activity Lunch Pack up/dismiss Play and socialize unless it is raining, then TSW play Math games and socialize in the classroom. Art-TCW go to Activity and the students will take turns going to the restroom TCW go to lunch and the students will take turns going to the restroom Dismiss Lesson Plans Wednesday September 11th Area of Instruction Mrs. Porter’s Homeroom Mrs. Easterling’s Homeroom Ms. Williams’ Homeroom Fantastic Five/ Mental Math/Review Homework/TeacherDirected Math/Guided/ Independent Practice/Small Group/Closure/ Homework assigned Lesson Gym/Breakfast/Restroom TSW unpack and complete their respective day’s Fantastic Five. At 7:45, TCW go over the Fantastic Five. Early Finishers will complete their Enrichment Folders. Review Problem of the Day What is the difference between the greatest four-digit whole number and the least four-digit whole number you can make using the digits 5, 6, 8, and 3? (8,653 – 3,568 = 5,085) Build It-Page 87 You will need: hole punch and construction paper Pass out the construction paper and hole punch for each 5.NBT.2 student. Explain patterns in the Walk the students through Step 1. How many holes are in number of zeros of the the paper? (2) product when What is the prime factorization of the holes? (2) multiplying a number Have the students complete Step 2. by powers of 10, and How many factors are there for each fold? (the same as the explain patterns in the number of folds) placement of the Now complete the table in Step 3. decimal point when a Check to make sure students have completed the table decimal is multiplied or correctly. divided by a power of What pattern do you notice between the number of factors in 10. Use whole-number each prime factorization and the number of folds? (The exponents to denote number of factors in each prime factorization is the same as powers of 10. the number of folds. Use the pattern found to complete the table in Step 5.-Page 88 For 5 folds, how many factors are in the prime factorization? Mathematical Practices 1, 4, 7, 8 (5) Have students explain why it is helpful to use a table or create a factor tree when doing prime factorization. Talk About It Facilitate a discussion of the Talk About It exercises. Help students make the connection between the number of folds and the number of factors in the prime factorization. Practice It-Page 89 Have students complete the exercises on the Practice It page independently, in pairs, or in small groups. You may wish to have a volunteer from the class demonstrate how to complete Exercise 4 using paper and a hole punch, explaining each step. Point out that the pattern they discovered in the activity will not apply to these exercises since the number of holes punched is different. As students complete the exercises, monitor their progress, providing guidance and intervention as needed. Apply It-Page 90 Use the exercises on this page to reinforce problem-solving skills and how to use models to find prime factorization patterns. Exercises 8-10—Use the information in the table to help find the pattern. Help students realize that the number of cells double as the cells are split. Exercise 11—If students are struggling, have them determine the pattern in the third column. They should see that the number doubles each time. Have them compare 32,768 with 16,384. This will help them determine the number of splits. Problem Solving-Page 92-Exercise 5 Students may not know the terms balance and deposit. Have a brief discussion with students about banking terms. Reflect and Clarify Extend the concept from the Build It activity by asking students how many holes there would be if they made 9 folds. (512 holes) Recess Guided/Independent Practice Pgs. 87-90 Homework-Workbook Pgs. 91-92 on Prime Factorization Patterns Play and socialize unless it is raining, then TSW play Math Games and socialize in the classroom. Activity Lunch DARE TCW go to lunch and the students will take turns going to the restroom Pack up/Dismiss Lesson Plans Thursday September 12th Lesson Area of Instruction Gym/Breakfast/Restroom Mrs. Porter’s Homeroom Mrs. Easterling’s Homeroom Ms. Williams’ Homeroom Fantastic Five/Mental Math/Review Homework/TeacherDirected Math/Guided/ Independent Practice/Small Group/Closure/ Homework assigned TSW unpack and complete their respective day’s Fantastic Five. At 7:45, TCW go over the Fantastic Five. Early finishers will complete their Enrichment Folders. Developing Vocabulary New Vocabulary-base, cubed, exponent, power, squared Write the word base in capital letters on the board. Next, write the word exponent in lowercase letters in the upperright hand corner. The example should look like this: Base exponent. 5.NBT.2 -Explain to students that, in math, base anchors the entire Explain patterns in the number, while an exponent describes the number of times number of zeros of the to use the base number as a factor. product when -Have students write this example on one of this lesson’s multiplying a number blank My Vocabulary Cards as a reminder of each word’s by powers of 10, and meaning. explain patterns in the Review-Problem of the Day placement of the What number is 3,045,101 more than one million, one decimal point when a hundred thousand, one? Write your answer in standard decimal is multiplied or form and word form. (4,145,102; four million, one divided by a power of hundred forty-five thousand, one hundred two) 10. Use whole-number -Students may use a place-value chart to solve this exponents to denote problem. Encourage students to discuss their strategies powers of 10. aloud with the rest of the class. Mathematical Practices 1, 2, 4, 6, 7, 8 Model the Math Materials: calculator Write the following expressions on the board: 5x5 3x3x3 2x2x2x2 1x1x1x1x1 Give students 30 seconds to mentally evaluate each expression. -What are the solutions? (25; 27; 16; 1) Using a calculator, demonstrate how to find the same values using exponents. 52 33 24 15 Compare the results to the solutions above. How do the results compare? (The solutions are equal.) Math in My World-Example 1---Page 93 Write 103 on the board. 103 is the product of what factor? (10) What is 10 called? (base) What is the exponent? (3) How many times is 10 multiplied? (3) Evaluate 10 x 10 x 10. How many Calories do six pancakes have? (1,000) -Have students explain the relationship between the exponents and the number of factors. Example 2---Page 94 What is the base? (3) Write 3 on the board with a small line placed where the exponent will go. What does this line represent? (the exponent) It can also be said that it is the number of times 3 is used as a factor. What is the exponent? (4) Write the 4 on the line on the board. How is the expression written as a power? (34) Example 3---Page 94 Step 1 Use the steps from Lesson 1 to complete the factor tree. Step 2 Write the prime factorization from least to greatest. Step 3 Write the product of identical factors using exponents. Guided Practice---Page 94 Work through the Guided Practice exercise together. Check to make sure students are familiar with the vocabulary terms in order to answer this problem. Talk Math Explain how a factor tree helps you to write the prime factorization of a number using exponents. (The factor tree shows all the prime factors. Then you can write the factors using exponents.) Independent Practice---Page 95 Problem Solving – Exercise 16 – (Page 96) Students may need help understanding how to find the amount of cubic units. Explain how finding the cube is the same as multiplying the three measures of the bird cage. Exercise 17-(Page 96)Students may need to be reminded that 28 means 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2. Exercise 18-(Page 96)Remind students to compare the bases and find each value to see which will be greater. Exercise 19-(Page 96)Asks students to build upon their understanding of concepts needed to answer the chapter Essential Question. Summarize-Have students write a brief summary explaining what they learned today. Recess Activity Lunch Guided/Independent Practices pgs. 94-96 Homework-Workbook Pgs. 97-98 on Powers and Exponents Play and socialize unless it is raining, then TSW play Math Games and socialize in the classroom. PE TCW go to lunch and the students will take turns going to the restroom. Pack up/dismiss Lesson Plans Friday September 13th Lesson Area of Instruction Gym/Breakfast/Restroom Mrs. Porter’s Homeroom Fantastic Five/Mental Math/Review Homework/TeacherDirected Math/Guided/ Independent Practice/Small Group/Closure/ Homework assigned TSW unpack and complete their respective day’s Fantastic Five. At 7:45, TCW go over the Fantastic Five. Early finishers will complete their Enrichment Folders. New Vocabulary-powers of 10 Activity-Write the phrase Powers of 10 on the board. Ask students to explain what they know about multiplying by 10, 100, or 1,000. -Have them write a sample multiplication equation in Mrs. Easterling’s Homeroom Ms. Williams’ Homeroom 5.NBT.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. Mathematical Practices 1, 2, 7, 8 which one factor is a power of 10 and label each part with the correct term. -Have students summarize Example 2, explaining how powers of 10 can help them multiply mentally. Review-Problem of the Day A number between 3 and 4 has 6 in the tenths place and 4 in the hundredths place. Another number between 3 and 4 has 3 in the tenths place, 0 in the hundredths place, and 9 in the thousandths place. Which number is greater? (3.64 > 3.309) -Have struggling students use a place-value chart to help organize the digits. Model the Math Materials: notebook paper -Have each student fold a sheet of lined paper to make 3 columns. Tell students to label the first column “Basic Fact 4 x 9” and write these equations down the column: 4 x 9 = 36; 4 x 90 = 360; 4 x 900 = 3,600 Demonstrate. Tell students to label the second column “Basic Fact 7 x 8” and write the following down the column: 7 x 8 = 56; 7 x 80 = 560; 7 x 800 = 5,600 Point out the zeros. What pattern do you see? (When you multiply by a multiple of 10, there is 1 zero in the product. When you multiply by a multiple of 100, there are 2 zeros.) What do you think would happen if you multiply by a multiple of 1,000? (The product might have 3 zeros.) Math in My World-Example 1---Page 99 Read the example aloud. Look at the table. Notice the pattern of the zeros in the powers of 10. Point out that each number has one more zero. When we find the product of the number 2 and a power of 10, how many zeros will be in the product? Work out each problem on the board to show how many zeros there are. We can see that the number of zeros increases as the power of 10 increases. What observations can you make about the products when multiplying by powers of ten? (I notice that every time I multiplied by 10, I added a zero to the end of the number. That makes sense because each digit’s value becomes 10 times greater.) Example 2—Page 100 Use mental math to find the product. Notice that the exponent and the number of zeros are the same. Example 3—Page 100 Start with the basic fact. Then use your mental math to multiply. Since both factors have zeros, make sure the students understand they should add the number of zeros to find the correct amount. Guided Practice-Page 100 Work through the Guided Practice exercises together. Move around the room to make sure that all students understand the multiplication patterns. Talk Math Explain how you could find the product of 29 and 103 mentally. (There are 3 zeros in 103. Add 3 zeros to the right of 29. The product is 29,000.) Independent Practice-Page 101 Problem Solving-Exercise 14---Page 102 -Have students read the problems carefully to determine the important information. Help students find the pattern if they are struggling. Exercises 16-19---Page 102 Students are looking for a missing exponent. Students need to remember the patterns and count the number of zeros. Exercise 20—Page 102 Ask students to build upon their understanding of concepts needed to answer the chapter Essential Question. Have students paraphrase the definition Power of 10 in their own words. Encourage them to show an example. Formative Assessment-Encourage students to explain each step as they solve the problem. Write 5,000 x 20 on the board. Ask students how they would find the product. (Multiply 5 x 2 = 10. Count the zeros in the factor and place them to the right of the 10. The product is 100,000.) Guided/Independent Practice Pgs. 99-102 Homework-Workbook Pgs. 103-104 On Multiplication Recess Activity Lunch Pack up/Dismiss Patterns Play and socialize unless it is raining, then TSW play Math Games and socialize in the classroom. Computer TCW go to lunch, and the students will take turns going to the restroom