Printable Lesson Plan on Dividing Fractions

Lesson Title:Dividing Fractions

Lesson Objective: Students will be able to divide fractions and understand the concept of dividing fractions by flipping the second fraction (divisor) and multiplying it.

Materials:

  • Whiteboard and markers
  • Fraction strips or manipulative
  • Worksheets for practice
  • Calculator (if needed)

    • Introduction (10 minutes): Begin the lesson by reviewing the concept of fractions. Write the fraction 3/4 on the board and ask the students to identify the numerator and denominator. Explain that the numerator represents the number of parts being considered, and the denominator represents the number of parts in the whole. Next, write the fraction 1/2 on the board and ask the students how they would divide 3/4 by 1/2. (They should understand that they need to divide the numerator of 3/4 by the numerator of 1/2 and the denominator of 3/4 by the denominator of 1/2.)

    Direct Instruction (20 minutes): Using the fraction strips or manipulative, demonstrate how to divide fractions. Write the fractions 3/4 and 1/2 on the board and show how to divide them by flipping the second fraction (divisor) and multiplying it. (3/4 ÷ 1/2 = 3/4 x 2/1 = 6/4 = 3/2) Explain that when we divide fractions, we flip the second fraction (divisor) and then multiply it by the first fraction (dividend).

    Guided Practice (20 minutes): Distribute the worksheets and have the students practice dividing fractions on their own. Walk around the room and assist as needed.

    Independent Practice (20 minutes): Provide the students with a set of mixed fractions and have them divide them and simplify the quotient if necessary.

    Closure (10 minutes): Have the students share one thing they learned about dividing fractions during the lesson.

    Assessment: Monitor the students during independent practice and provide feedback. Collect and grade the worksheets for accuracy.

    Note:

  • You can adjust the time and activities according to your students’ level and need.
  • Encourage students to ask questions and provide opportunities for them to explore and discover the concepts.
  • This is a general lesson plan and you should adjust it according to the resources available in your class and school.
  • If your students are having difficulty with the concept of simplifying the quotient, you can use a calculator to divide both numerator and denominator by a common factor (GCF) and use that as the simplified form.
  • Dividing by a fraction is the same as multiplying by its reciprocal.

    • Printable Lesson Plan on Understanding Integers

    Lesson Title:Understanding Integers

    Lesson Objective: Students will be able to understand the concept of integers and be able to perform basic operations with them.

    Materials:

  • Whiteboard and markers
  • Number line or integer chips
  • Worksheets for practice
  • Calculator (if needed)

    • Introduction (10 minutes): Begin the lesson by asking the students if they know what the word “integer” means. Explain that an integer is a whole number, either positive or negative. Write the number 0 on the board and ask the students if it is an integer. (Yes, it is an integer.) Write the number -5 on the board and ask the students if it is an integer. (Yes, it is an integer.)

    Direct Instruction (20 minutes): Using the number line or integer chips, demonstrate how to compare integers. Write the integers -3 and -5 on the board and show how to compare them by using the greater than (>), less than (<), or equal to (=) signs. Explain that when the number on the left side of the sign is greater than the number on the right side of the sign, the sign is >; when the number on the left side of the sign is less than the number on the right side of the sign, the sign is <; when the number on the left side of the sign is equal to the number on the right side of the sign, the sign is =.

    Guided Practice (20 minutes): Distribute the worksheets and have the students practice comparing integers on their own. Walk around the room and assist as needed.

    Independent Practice (20 minutes): Provide the students with a set of integers and have them perform basic operations such as addition, subtraction, multiplication and division.

    Closure (10 minutes): Have the students share one thing they learned about integers during the lesson.

    Assessment: Monitor the students during independent practice and provide feedback. Collect and grade the worksheets for accuracy.

    Note:

  • You can adjust the time and activities according to your students’ level and need.
  • Encourage students to ask questions and provide opportunities for them to explore and discover the concepts.
  • This is a general lesson plan and you should adjust it according to the resources available in your class and school.
  • You may also want to introduce the concept of absolute value and how it relates to integers.
  • Integers are just like whole numbers, but they also include negative numbers.
  • When adding, subtracting, multiplying and dividing integers, you can use the same rules as you would with whole numbers. But when you are subtracting or dividing, if the signs are different, you need to change the sign of the answer to be negative.

    • Operations with Integers Printable Lesson Plan for Teachers

    Lesson Title:Operations with Integers

    Grade Level: 6th Grade

    Duration: 45 minutes

    Lesson Objective:

  • Students will be able to perform basic arithmetic operations (addition, subtraction, multiplication and division) with integers.
  • Students will understand the concept of absolute value and be able to use it to find the distance between two integers on a number line.

    • Materials:

  • Whiteboard
  • Whiteboard markers
  • Integer number line worksheet
  • Basic arithmetic worksheet

    • Introduction (5 minutes):

  • Begin by reviewing the concept of integers and their placement on a number line. Write a number line on the board and ask students to identify the positive and negative numbers.
  • Remind students that integers are whole numbers that can be positive or negative.
  • Explain that in this lesson, they will learn how to perform basic arithmetic operations with integers.

    • Direct Instruction (10 minutes):

  • Introduce the four basic arithmetic operations (addition, subtraction, multiplication and division) and provide examples of each using integers.
  • Use the whiteboard to demonstrate how to add, subtract, multiply and divide integers.
  • Emphasize the importance of using a number line to visualize the operations and the signs of the integers.

    • Guided Practice (15 minutes):

  • Distribute the integer number line worksheet and have students complete the problems on their own.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, go over the answers as a class.

    • Independent Practice (10 minutes):

  • Distribute the basic arithmetic worksheet and have students complete the problems on their own.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, collect their work and provide feedback.

    • Closure (5 minutes):

  • Review the concept of absolute value and how it can be used to find the distance between two integers on a number line.
  • Ask students to provide examples of real-world situations in which they might use the concepts learned in this lesson.
  • Assign homework, if applicable.

    • Assessment:

  • Observe students during independent practice and informal assessment through class participation and homework.
  • Formally assess students’ understanding by collecting and grading the worksheets.
  • Use a rubric to evaluate students’ understanding of the concepts and their ability to apply them to solve problems.

    • Note:

  • Please adjust the duration and materials based on your classroom and student needs.
  • This is just a sample lesson plan, you can adjust and modify it as per your student’s understanding and curriculum.

    • Understanding Division Printable Lesson Plan

    Lesson Title:Understanding Division

    Lesson Objective: Students will be able to understand and use division in mathematical operations.

    Materials: Whiteboard, dry erase markers, worksheets with division problems, a set of manipulatives (e.g. base ten blocks, Cuisenaire rods)

    Introduction (5 minutes): Start the lesson by asking students if they know what division is. Write the symbol “÷” on the whiteboard and ask students to provide examples of what division might be (e.g. 20 ÷ 4, 12 ÷ 3, etc.).

    Direct Instruction (20 minutes): Explain to students that division is a mathematical operation used to find the number of times one number is contained in another. Write the equation “20 ÷ 4” on the board and ask students what the answer is. (Answer: 5) Use base ten blocks or other manipulatives to model the problem and help students visualize the concept of division.

    Next, explain the concept of remainders in division. Write the equation “10 ÷ 3” on the board and ask students what the answer is. (Answer: 3 with a remainder of 1)

    Guided Practice (25 minutes): Provide students with worksheets containing division problems, including some with remainders. Have students work in pairs to solve the problems, and circulate around the room to provide assistance as needed.

    Independent Practice (15 minutes): Give students additional problems to work on independently. Encourage them to use the skills they have learned to solve the problems and use the manipulatives when necessary.

    Closure (5 minutes): Ask students to share one thing they learned about division during the lesson. Review key concepts and remind students that division is a mathematical operation used to find the number of times one number is contained in another, and that remainders can also be a part of the solution.

    Assessment: Observe students during independent practice and provide feedback on their understanding of division. Collect and grade their worksheets to check their understanding.

    Note: The lesson could be adapted to include the relationship between division and multiplication, and how we can use one operation to find the solution to the other.

    Mixed Operations with Whole Numbers Printable Lesson Plan

    Lesson Title:Mixed Operations with Whole Numbers

    Grade Level: 6th Grade

    Duration: 45 minutes

    Lesson Objective:

  • Students will be able to perform mixed operations, including addition, subtraction, multiplication and division, with whole numbers.
  • Students will understand the order of operations and be able to use it to correctly solve multi-step math problems.

    • Materials:

  • Whiteboard
  • Whiteboard markers
  • Order of operations worksheet
  • Mixed operations worksheet

    • Introduction (5 minutes):

  • Begin by reviewing the four basic arithmetic operations (addition, subtraction, multiplication and division) and the order of operations (PEMDAS). Write the acronym PEMDAS on the board and explain that it stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
  • Explain that in this lesson, they will learn how to use mixed operations, including all four basic operations, to solve multi-step math problems.

    • Direct Instruction (10 minutes):

  • Review the order of operations and provide examples of multi-step math problems that require the use of PEMDAS.
  • Use the whiteboard to demonstrate how to solve mixed operation problems step by step, emphasizing the importance of following the order of operations.

    • Guided Practice (15 minutes):

  • Distribute the order of operations worksheet and have students work in pairs to complete the problems.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, go over the answers as a class.

    • Independent Practice (10 minutes):

  • Distribute the mixed operations worksheet and have students complete the problems on their own.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, collect their work and provide feedback.

    • Closure (5 minutes):

  • Review the importance of following the order of operations and the rules for mixed operations.
  • Ask students to provide examples of real-world situations in which they might use the concepts learned in this lesson.
  • Assign homework, if applicable.

    • Assessment:

  • Observe students during independent practice and informal assessment through class participation and homework.
  • Formally assess students’ understanding by collecting and grading the worksheets.
  • Use a rubric to evaluate students’ understanding of the concepts and their ability to apply them to solve problems.

    • Note:

  • Please adjust the duration and materials based on your classroom and student needs.
  • This is just a sample lesson plan, you can adjust and modify it as per your student’s understanding and curriculum.

    • Math lesson Plan on Understanding Exponents Printable PDF

    Lesson Title: Understanding Exponents

    Lesson Objective: Students will be able to understand and use exponents in mathematical operations.

    Materials: Whiteboard, dry erase markers, worksheets with exponent problems

    Introduction (5 minutes): Start the lesson by asking students if they know what an exponent is. Write the symbol “^” on the whiteboard and ask students to provide examples of what an exponent might be (e.g. 2^3, 5^2, etc.).

    Direct Instruction (20 minutes): Explain to students that an exponent is a mathematical operation that represents the number of times a number is multiplied by itself. Write the equation “2^3” on the board and ask students what the answer is. (Answer: 8)

    Next, explain the concept of a base number, which is the number being multiplied by itself, and the exponent, which is the number of times the base number is multiplied by itself. For example, in the equation “2^3”, 2 is the base number and 3 is the exponent.

    Guided Practice (25 minutes): Provide students with worksheets containing exponent problems. Have students work in pairs to solve the problems, and circulate around the room to provide assistance as needed.

    Independent Practice (15 minutes): Give students additional problems to work on independently. Encourage them to use the skills they have learned to solve the problems.

    Closure (5 minutes): Ask students to share one thing they learned about exponents during the lesson. Review key concepts and remind students that exponents are a mathematical operation that represents the number of times a number is multiplied by itself.

    Assessment: Observe students during independent practice and provide feedback on their understanding of exponents. Collect and grade their worksheets to check their understanding.

    Note: The lesson could be adapted to include the relationship between exponents and multiplication, and how we can use one operation to find the solution to the other. Also, the concept of zero and negative exponents can be introduced as well.

    Lesson Plan on Understanding and working with Rational Numbers

    Lesson Title:Understanding and working with Rational Numbers

    Grade Level: 6th Grade

    Duration: 45 minutes

    Lesson Objective:

  • Students will understand the concept of rational numbers and be able to identify and classify them.
  • Students will be able to perform basic arithmetic operations (addition, subtraction, multiplication, and division) with rational numbers.

    • Materials:

  • Whiteboard
  • Whiteboard markers
  • Rational number worksheet
  • Basic arithmetic worksheet
  • Number line or a set of number cards (positive and negative fractions, decimals, and mixed numbers)

    • Introduction (5 minutes):

  • Begin by reviewing the concept of integers and their placement on a number line. Write a number line on the board and ask students to identify the positive and negative numbers.
  • Explain that in this lesson, students will learn about a new type of number called rational numbers. Rational numbers are numbers that can be expressed as a fraction of two integers.

    • Direct Instruction (10 minutes):

  • Introduce the concept of rational numbers and explain that they include fractions, decimals, and mixed numbers. Provide examples of each.
  • Use the whiteboard to demonstrate how to convert between fractions, decimals, and mixed numbers.
  • Explain that rational numbers can be represented on a number line and demonstrate how to place them on the number line.

    • Guided Practice (15 minutes):

  • Distribute the rational number worksheet and have students work in pairs to complete the problems.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, go over the answers as a class.

    • Independent Practice (10 minutes):

  • Distribute the basic arithmetic worksheet and have students complete the problems on their own.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, collect their work and provide feedback.

    • Closure (5 minutes):

  • Review the concept of rational numbers and the different ways they can be represented.
  • Ask students to provide examples of real-world situations in which they might use the concepts learned in this lesson.
  • Assign homework, if applicable.

    • Assessment:

  • Observe students during independent practice and informal assessment through class participation and homework.
  • Formally assess students’ understanding by collecting and grading the worksheets.
  • Use a rubric to evaluate students’ understanding of the concepts and their ability to apply them to solve problems.

    • Note:

  • Please adjust the duration and materials based on your classroom and student needs.
  • This is just a sample lesson plan, you can adjust and modify it as per your student’s understanding and curriculum.
  • It’s important to emphasize the importance of understanding when to use the different types of rational numbers (fractions, decimals, mixed numbers) and their representation.

    • Lesson Plan on Understanding Number Theory

    Lesson Title:Understanding Number Theory

    Lesson Objective: Students will be able to understand and use concepts of number theory in mathematical operations.

    Materials: Whiteboard, dry erase markers, worksheets with number theory problems, manipulatives (e.g. base ten blocks, Cuisenaire rods)

    Introduction (5 minutes): Start the lesson by asking students if they know what number theory is. Write the phrase “number theory” on the whiteboard and ask students to provide examples of what number theory might include (e.g. prime numbers, greatest common divisors, etc.).

    Direct Instruction (20 minutes): Explain to students that number theory is a branch of mathematics that deals with the properties and relationships of numbers. Introduce the concept of prime numbers and composite numbers, and show students how to determine if a number is prime or composite using manipulatives or base ten blocks.

    Next, explain the concept of the greatest common divisor (GCD) and least common multiple (LCM) of two or more numbers, and show students how to find the GCD and LCM using manipulatives or base ten blocks.

    Guided Practice (25 minutes): Provide students with worksheets containing number theory problems, including prime/composite identification and finding GCD/LCM. Have students work in pairs to solve the problems, and circulate around the room to provide assistance as needed.

    Independent Practice (15 minutes): Give students additional problems to work on independently. Encourage them to use the skills they have learned to solve the problems and use the manipulatives when necessary.

    Closure (5 minutes): Ask students to share one thing they learned about number theory during the lesson. Review key concepts and remind students that number theory is a branch of mathematics that deals with the properties

    use of technology in classroom

    Lesson Plan for Teachers on Problem Solving and Estimation Techniques

    Lesson Title:Problem Solving and Estimation Techniques

    Grade Level: 6th Grade

    Duration: 45 minutes

    Lesson Objective:

  • Students will understand the importance of problem-solving skills in real-world situations.
  • Students will learn and apply estimation techniques to solve problems.

    • Materials:

  • Whiteboard
  • Whiteboard markers
  • Problem-solving worksheet
  • Estimation worksheet
  • Calculator (optional)

    • Introduction (5 minutes):

  • Begin by introducing the importance of problem-solving skills in real-world situations. Provide examples of how problem-solving skills are used in everyday life.
  • Explain that in this lesson, students will learn how to use estimation techniques to solve problems.

    • Direct Instruction (10 minutes):

  • Introduce the concept of estimation and explain that it is a method of finding a reasonable answer quickly. Provide examples of how estimation can be used in everyday life.
  • Use the whiteboard to demonstrate how to use estimation techniques, such as rounding, front-end estimation, and clustering.

    • Guided Practice (15 minutes):

  • Distribute the problem-solving worksheet and have students work in pairs to complete the problems.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, go over the answers as a class.

    • Independent Practice (10 minutes):

  • Distribute the estimation worksheet and have students complete the problems on their own.
  • Monitor students as they work and provide assistance as needed.
  • Once students have finished, collect their work and provide feedback.

    • Closure (5 minutes):

  • Review the importance of problem-solving skills and estimation techniques in real-world situations.
  • Ask students to provide examples of real-world situations in which they might use the concepts learned in this lesson.
  • Assign homework, if applicable.

    • Assessment:

  • Observe students during independent practice and informal assessment through class participation and homework.
  • Formally assess students’ understanding by collecting and grading the worksheets.
  • Use a rubric to evaluate students’ understanding of the concepts and their ability to apply them to solve problems.

    • Note:

  • Please adjust the duration and materials based on your classroom and student needs.
  • This is just a sample lesson plan, you can adjust and modify it as per your student’s understanding and curriculum.
  • Encourage students to use estimation techniques even when they are allowed to use calculators, as it helps them to develop a sense of approximate numbers.

    • Printable Lesson Plan on Adding and Subtracting Decimals

    Lesson Title:Adding and Subtracting Decimals

    Lesson Objective: Students will be able to add and subtract decimals with accuracy and understanding.

    Materials: Whiteboard, markers, worksheets, calculator (optional)

    Introduction (5 minutes):

  • Begin by reviewing the concept of decimals and their place value.
  • Use the whiteboard to demonstrate how decimals are used in everyday life, such as measuring and shopping.
  • Ask students to give examples of when they have used decimals in their own lives.

    • Direct Instruction (15 minutes):

  • Explain the process of adding and subtracting decimals, using the whiteboard to demonstrate with examples.
  • Show students how to line up the decimal points when adding or subtracting.
  • Emphasize the importance of being precise and paying attention to place value when working with decimals.

    • Guided Practice (20 minutes):

  • Provide students with worksheets with problems for them to practice adding and subtracting decimals.
  • Circulate the room to assist students as needed.
  • Encourage students to check their work and use a calculator if needed.

    • Independent Practice (20 minutes):

  • Provide students with more worksheets for them to complete independently.
  • Monitor student progress and offer assistance as needed.
  • Encourage students to correct any mistakes they find and ask questions if they are unsure.

    • Closure (5 minutes):

  • Review the main concepts covered in the lesson.
  • Ask students to share one thing they learned or struggled with during the lesson.
  • Assign homework related to adding and subtracting decimals.

    • Assessment:

  • Observe students during independent practice to assess understanding and accuracy.
  • Collect and grade homework as a formative assessment.
  • Administer a quiz or a test as a summative assessment

    • Note: Adjust the time and activities as per the class size and student’s pace.