Overview of Lesson One - Integers
Critical thinking is a important component in mathematics and nowhere is it more important than in integer operation. This lesson plan will address operations with integers by providing the student with videos, lessons, an interactive whiteboard and assessment. The 21st century skill addressed is critical thinking.
Resources and Preparation
This lesson plan is intended for students in college basic mathematics. The time it would take to develop the website could be from 10 -15 hours including research. Resources used for development of the website include:
Adding and subtracting integers
Multiplying and dividing integers
Integer song 2
Integers rap
Integer blues
Twiddle
A website platform of your choice.
Adding and subtracting integers
Multiplying and dividing integers
Integer song 2
Integers rap
Integer blues
Twiddle
A website platform of your choice.
Theory to Practice
Many students who enter college struggle with integer operation. According to Balfanz, McPartland, Shaw (2002), “The fact is that by some estimates up to a quarter of entering college students need to take remedial math or reading classes”(p. 2). One of the first stumbling blocks in pre-college mathematics is integer operation. Some students cannot understand their textbooks or make real world connections to integers.
A study by Munoz (2010) supported this,
I found that a strong math foundation must be created for students so they can
succeed and progress to higher level of mathematics. Students often have
difficulty with the concept of integers which makes them struggle throughout their
education. Students who move through the curriculum without understanding the
foundation concepts and skills will continue to experience failure. (p. 2)
This lesson plan will be a FUNdamental way of mastering integers.
A study by Munoz (2010) supported this,
I found that a strong math foundation must be created for students so they can
succeed and progress to higher level of mathematics. Students often have
difficulty with the concept of integers which makes them struggle throughout their
education. Students who move through the curriculum without understanding the
foundation concepts and skills will continue to experience failure. (p. 2)
This lesson plan will be a FUNdamental way of mastering integers.
Standards
Course Description (from Indiana Core 40 Standards)
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. (In particular integers)
c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. (In particular integers)
c. Apply properties of operations as strategies to multiply and divide rational numbers.
College Board Standards for College Success
MI.1.4 Student develops an understanding of the concepts of order, additive inverses, and addition of integers and solves simple addition problems involving integers.
MII.1.1 Student models operations, computes fluently, and solves problems with integers
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. (In particular integers)
c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. (In particular integers)
c. Apply properties of operations as strategies to multiply and divide rational numbers.
College Board Standards for College Success
MI.1.4 Student develops an understanding of the concepts of order, additive inverses, and addition of integers and solves simple addition problems involving integers.
MII.1.1 Student models operations, computes fluently, and solves problems with integers
Objectives
Upon successful completion of the integers unit, students will:
1. Be able to add and subtract integers
2. Be able to multiply and divide integers
3. Be able to recognize and work real life problems involving integers
1. Be able to add and subtract integers
2. Be able to multiply and divide integers
3. Be able to recognize and work real life problems involving integers
Build Inquiry
Have students post ways that they utilize integers in everyday life
on www.auntsallylearningcenter.wikispaces.com.
Students will look at each other ideas and get together to discuss them.
on www.auntsallylearningcenter.wikispaces.com.
Students will look at each other ideas and get together to discuss them.
Instructional Delivery
The student will get on the internet and type in www.auntsallylearningcenter.weebly.com. The students will be able to access:
1. Watch three interesting musical videos about integers (15 minutes)
2. Two different lessons on integers (approximately 25-30 minutes total)
3. Collaborate with other students on an interactive whiteboard (30 minutes, will coordinate time to enter virtual whiteboard)
1. Watch three interesting musical videos about integers (15 minutes)
2. Two different lessons on integers (approximately 25-30 minutes total)
3. Collaborate with other students on an interactive whiteboard (30 minutes, will coordinate time to enter virtual whiteboard)
Additional Resources
Integer basket – assessment game
Adding integers – assessment game
Integer Jeopardy – assessment game
Mitra Corp. – assessment game
Adding integers – assessment game
Integer Jeopardy – assessment game
Mitra Corp. – assessment game
Assessment
The students will take an assessment online in the form of four games which will determine mastery of integers by the student (20-30 minutes). True assessment of integer operations is given in the form of a written test in their respective classes.
Citations
Balfanz, R., McPartland, J.,& Shaw, A. (2002) Re-conceptualizing extra help for high school students in a high standards era. Retrieved from John Hopkins University
publication Web site http://www.csos.jhu.edu/pubs/edweek/reconceptualizing.pdf
Munoz, L. (2010) Teaching strategies for integers and operations. Retrieved from ATI
Web site http://ime.math.arizona.edu/ati/Action20Research/C1_ARFinal_Munoz.pdf
publication Web site http://www.csos.jhu.edu/pubs/edweek/reconceptualizing.pdf
Munoz, L. (2010) Teaching strategies for integers and operations. Retrieved from ATI
Web site http://ime.math.arizona.edu/ati/Action20Research/C1_ARFinal_Munoz.pdf