# National Council of Teachers of Mathematics Standards: Lesson Plan Websites

The standard to the second grade number sense lesson plan website on fractions was supported in many ways. The learning objective geared the teacher and student to know what was expected of the students. The standard was also matched up by the assessment of the lesson. The value of student discussions to help form meaning through operations in mathematics is present in the standards in this website. Methodology of Number Sense

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The methodology of number sense is used to expand the knowledge of numbers in diverse ways. By showing how fractions relate to the real world in measurements build on extensible and natural concepts of numbers that are wished for. In this fraction lesson plan the teacher in her presentation showed students shapes that were divided into four parts. This helped show concrete examples of part-whole comparisons in a lesson built around good number sense. Also, in the teacher’s presentation she used tiles and asked the students to pretend that they were cookies that she wanted to share with her neighbors and her family. The teacher asked the students how many groups they will need to share these cookies. Fractions are a result of the relationship of numbers being broadened and explored. Mathematical Operations

The mathematical operation that was used in the activities of this lesson plan was division. In using division of equal parts in this lesson plan students can learn effectively to use this operation in the world of sharing their pieces of cookies with neighbors and family. By using division it helps connect interpretation of dividing cookies into four equal parts by using fractions. Students will build on their understanding of the division operation and develop their extra ideas about thinking about basic fact connections. By performing fraction problems, students use the multiplicative process in which numerators and denominators are divided. By dividing into fair shares as this lesson plan instructed students to do show that fractions are also examples of ratios. Grade Level

This lesson plan uses fractions and are directed for second graders. The objectives listed in this lesson plan are directed to the second grade level. Also, the activities and assessment are geared to the second grade level. Division operations as stated in the standards may vary many as three grade levels. (Van de Walle, et al. 2010). Differentiated Instruction

Differentiated instruction is evident by using cooperative group practice. Cooperative group work helps English Language Learners by learning from their other peers in their group. By preparing these groups with diverse students will be beneficial to English Language learners. Students are also provided differentiated instruction in the presentation part of the lesson plan. Students with learning disability were provided a visual idea by dividing a cookie into four parts to show how fractions are divided. These students will also have differentiated instruction by being placed in cooperative learning groups as well. (http://www.discoveryeducation.com/teachers/free-lesson-plans/problem-solving-math-episode-1.cfm#vo).

Understanding Mathematics
A good math lesson plan uses a framework for the content of the operations and structure for each math instruction and practice. Teachers use lesson plans as guides to teach, review and practice math concepts. The fraction lesson plan uses concepts that can be used in real life situations. Students though their practice allows for teachers to use formative assessment of their tasks. Activities

Classroom activities improve student’s achievement by modeling the act of performing mathematics in the real world. Fractions imitate dividing parts to share amongst people. Activities performing these strategies mimic how
real world situations can be accomplished. Manipulative

Tiles and cards were used as manipulative in this fraction lesson plan. Tiles were used to divide parts to make fractions. Tiles were representing cookie pieces to divide between four family members. Lesson Plan 2

Standards
In the Lesson Plan library of problem-solving math support the standard through the objectives and procedures. The lesson plans in the Lesson Plan library uses objectives that match the standards specifically in the way that the students will learn why numbers are an important part of everyday life. It also tells that students will use examples. The procedures also state how numbers are used in everyday lives. Students also will show examples around the classroom of basic numbers. The evaluation also supports the standard through the objectives and goals that are to be met. Methodology of Number Sense

The methodology of number sense is used to expand the knowledge of numbers in different forms. By showing how numbers can be used in many ways it relates to the real world by time, measurements, and representing a group. Students expand their previous knowledge of basic numbers, Mathematical Operations

The operation of understanding the representation of numbers is what the lesson was about. Students are to reflect on numbers and their meaning behind them. The operation of numbers expands as the student’s perception develops. Also the addition operation matches counting words with items such as group of objects. Grade Level

The grade level for the Lesson Plan Library is for Kindergarten through fifth grade. The standards and the objectives used in the Lesson Plan Library are for Kindergarten through fifth grade. The evaluations used in this particular lesson website are also for the same grade level of kindergarten through five. Differentiated Instruction

Students that are gifted can write a sentence or two to their drawing of the diagram. Students can explain in their sentence or two an explanation of the diagram. Students that are gifted need to be challenged and this is a great way to do it. Understanding of Mathematics

The Lesson Library shows uses of numbers. The lesson plans are important to have as a guide to follow to instruct students on knowledge they need to learn and to be assessed on in a daily plan. It also shows how numbers are important and why. It is important to understand the meaning of numbers to relate it to the everyday world. Building on the meaning of numbers helps progress to the new level of knowledge. Activities within Lesson Plan

Classroom activities improve student’s achievement by showing the importance of numbers in everyday lives. Students demonstrate how numbers are important to life. Modeling important facts with regards to numbers builds on the concepts of numbers. Manipulative Used

Manipulative were not used but visuals were. Manipulative would be integrated by allowing the students to use clocks as an example of how numbers are used in time. Also, using cards with numbers on them would be another use for manipulative.

Lesson Plan Three
Standards
The lesson plans on this website supports the standards by using numbers and operations in the learning objectives and the procedures. The assessment also supports the learning objectives and standards by assessing the student’s learned material of the lesson plan. The standard is aligned with the end goal of the objective. Methodology of Number Sense

This lesson plan uses methodology of number sense by relating word problems to real life situations. Students through these lesson plans use addition, subtraction, multiplication and simple fractions to build on prior to their word problems involving money. Students use their previous knowledge of addition and subtraction concepts to build on their money world problems. Mathematical Operations

The addition, subtraction and multiplication operations are used in these lesson plans. Students relate these operations to real life situations using money concepts. Students start with previous knowledge of addition and subtraction to build on to use multiplication operation. Grade Levels

The Discovery Education lesson plan website base their lesson plan off of kindergarten through 5th grade. The lesson plan aligns with the age group through the procedures and assessments. Students’ grade level aligns with the standards as well. Differentiated Instruction

The Discovery Education lesson plan uses cooperative groups for differentiated instructions. Students with diverse needs benefit from group learning. Teachers would benefit from picking out these groups ahead of the task assigned. Understanding Mathematics

These lesson plans are important for students understanding of mathematics because they are a teacher’s guide to instruct students. These lessons have particular concepts and operations that need to relate to everyday life. Lesson plans are a framework that helps guide the specific instruction. (Van de Walle, et al. 2010). Student Achievement

Students can benefit from the activities in their lesson plan by learning how time and money relate to their daily lives. Students will be using activities that relate to the time it takes to go to the store. The activities also improve student achievement by teaching how money relates to everyday life. Manipulative

The manipulative used in the lesson plan was a clock. Play money was also used as a manipulative in the lesson plan. Students use manipulatives as concrete examples to relate to real life concepts.

Lesson Four
Standards
The lesson plan from the Discovery Lesson supports the standard by using the objectives to help meet the end goal of the lesson plan. The lesson plan also provides the assessment to align with the standards. The tasks are also aligned to support the standard and follow through until the end. Methodology of Number Sense

The methodology of number sense is used in this Discovery lesson on measurements by relating to the measurements of items in real life. Students build on their previous knowledge to construct the new knowledge. Using real life measurements brings to life the real concepts used in everyday life. Mathematical Operations

The mathematical operations used in the activities in the lesson plan are addition of measurements. These measurement activities are used in everyday life. The activities consist of measuring books and things in the classroom. Grade Levels

The grade level for this lesson website is sixth through eighth grade. Measurements for this grade level align with the standards. The grade level for measurements also meet with the assessments. Differentiated Instruction

The gifted/talented students had differentiated instruction evident in this lesson plan. They had more challenging measurements to take of items. They also had an added part to formulate questions relating to the length, width and depth measurements. Student Understanding

These lesson plans are important in understanding mathematics because the concepts are needed for everyday life. Students need to make themselves aware that measurements are needed in recipes, weight and height of objects. This concept is relative to many parts of life. Student Achievement

The activities on measurements can improve student achievement by understanding why items need to be measured. This concept will be learned by students and students will achieve greatly if they relate these measurements to real life situations. In the long run students will benefit by knowing how and when to use measurements in their everyday lives.

Manipulative
Measuring sticks were used for a manipulative in measuring items. Items such as books and boxes were also used in measuring. These items are helpful in learning about real life situations.

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