Understanding Properties of Mathematics Printable Lesson Plan

Lesson Title:Understanding Properties of Mathematics

Lesson Objective: Students will understand and identify the different properties of mathematics, including the commutative, associative, and distributive properties.

Materials:

Chart paper and markers

Worksheets with math problems

Manipulatives (such as base ten blocks or unifix cubes)

Introduction (5 minutes):

Begin by asking the students if they know what properties of mathematics are. Allow them to share their ideas and write them on the board.

Next, explain that properties are the rules that govern how numbers work. They help us figure out how to solve problems and make sense of numbers.

Direct Instruction (15 minutes):

Introduce the commutative property by using examples such as 3 + 4 = 4 + 3 and 5 x 2 = 2 x 5. Explain that this property states that changing the order of the numbers in a math problem does not change the answer.

Introduce the associative property by using examples such as (3 + 4) + 5 = 3 + (4 + 5) and (5 x 2) x 3 = 5 x (2 x 3). Explain that this property states that changing the grouping of the numbers in a math problem does not change the answer.

Introduce the distributive property by using examples such as 3 x (4 + 5) = (3 x 4) + (3 x 5) and 2 x (5 + 3) = (2 x 5) + (2 x 3). Explain that this property states that when you multiply a single number by a sum of two or more numbers, you can get the same answer by multiplying the single number by each number in the sum and then adding the products.

Guided Practice (15 minutes):

Provide the students with worksheets containing math problems that demonstrate the properties discussed.

Have them work in pairs to complete the worksheets, with one student solving the problem and the other student checking the work.

Monitor the student progress and provide assistance as needed.

Independent Practice (10 minutes):

Give the students more worksheets with math problems that demonstrate the properties discussed, and have them work independently.

Circulate around the room to check for understanding and provide assistance as needed.

Closure (5 minutes):

Have students share one thing they learned about properties of mathematics today.

Review the main concept of properties and remind the students that properties are the rules that govern how numbers work.

Assessment: Observe the students during independent practice and check their worksheets for accuracy.

Extension:

Have the students create their own math problems that demonstrate the properties discussed and have them share it with the class.

Allow them to play math games that involve properties, such as “Properties Match”

Note:

Remember to differentiate instruction to meet the needs of all the students in your class.

Encourage students to use manipulatives and pictures whenever possible to help them understand the concept of properties.

Overall, the goal of this lesson is to introduce the concept of properties of mathematics and provide students with hands-on practice identifying and solving problems that demonstrate the commutative, associative, and distributive properties. Through the use of examples, worksheets, and interactive activities, students will develop a better understanding of properties and be able to solve problems independently.