home

= Cheboygan Middle School = = Math 8 : Numeration Unit =

Instructor:
Mrs. Kristy Brach Email: brachk@cheboygan.k12.mi.us

Classroom Hours: 7:45am-3:15pm
=== Note: If you have any questions throughout this unit please feel free to contact me by phone or email. If an unexpected event arises and you need to discuss a personal matter with me, email is probably the best way to reach me. ===

Course Description:
Students completing this unit will be able to explain concepts of numeration systems, number theory, and properties of the whole numbers, integers, rational, and irrational number systems with an emphasis on problem solving and critical thinking through real life examples.

This unit is part of the 8th grade mathematics curriculum set forth by the State of Michigan. This unit will help students to understand where numbers would fall on a number line in relation to each other and also how to critically think and assess problems based on these types of numbers in real life situations.

Learning Objectives:
After completing this unit students will have met these learning targets based on curriculum standards: = · I can add, subtract, multiply, and divide integers. = = · I can explain what a rational number is and show how it can be made into a ratio. = = · I can change decimals into fractions. = = · I can explain the difference between a terminating and repeating decimal. = = · I can explain what a negative rational number is. = = · I can place whole #’s, integers, rational #’s, and irrational #’s on a number line. = = · I can estimate and solve problems with square and cube roots using a calculator. = = · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can find square roots of perfect squares and approximate the square roots of non-perfect squares by locating between consecutive integers. = = · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can find cube roots of perfect cubes and approximate the cube roots of non-perfect cubes by locating between consecutive integers. = = · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can utilize a graphic organizer to classify numbers. = = · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can explain exponential growth using real life examples. = = · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can explain what a zero exponent stands for and also what a negative integer means. =

Resource Requirements:
<span style="display: block; line-height: normal; margin: 0in 0in 0pt 0.5in; mso-add-space: auto; mso-list: l1 level1 lfo2; text-indent: -0.25in;"> · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Access to a computer and the Internet daily. <span style="display: block; line-height: normal; margin: 0in 0in 0pt 0.5in; mso-add-space: auto; mso-list: l1 level1 lfo2; text-indent: -0.25in;"> · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Capabilities of using a computer, accessing email, and using a web browser (Internet Explorer) and Microsoft Word. <span style="display: block; line-height: normal; margin: 0in 0in 0pt 0.5in; mso-add-space: auto; mso-list: l1 level1 lfo2; text-indent: -0.25in;"> · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Calculator which can compute exponents and square roots.

Required Textbook:
<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">None

Student Expectations:
<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It takes a lot of hard work and dedication to be an on-line student. You have to be disciplined and self-motivated in order to keep up with the class and stay on top of your assignments.

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">It is important that you check the website daily to see if any new announcements were posted or additional resource were included to help with your assignments. Also, it is important to check your email daily for any updates or changes to the class schedule. Furthermore, if you have any questions or concerns throughout the class please to do hesitate to email me or contact me by phone; I don’t want anyone struggling!

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">In order to truly obtain the learning targets set forth in this unit you have to be fully vested in your learning and want to achieve your target. Active participation is crucial and beneficial.

<span style="display: block; line-height: normal; margin: 0in 0in 0pt 0.5in; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -0.25in;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">1. Students are expected to check their email and website daily for updates. <span style="display: block; line-height: normal; margin: 0in 0in 0pt 0.5in; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -0.25in;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">2. Students need to submit all assignments to me through email at the address listed above. <span style="display: block; line-height: normal; margin: 0in 0in 0pt 0.5in; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -0.25in;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">3. Students are expected to participate in weekly discussions to enhance their understanding of the topic for the week. <span style="display: block; line-height: normal; margin: 0in 0in 0pt 0.5in; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -0.25in;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">4. Students need to respond to at least 3 other classmates’ posts to develop critical thinking skills and to encourage thinking from different perspectives through group interaction.

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Teacher Expectations:
<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Just as I have expectations for you, as a student, here is what you can expect from me:

<span style="display: block; line-height: normal; margin: 0in 0in 0pt 0.5in; mso-add-space: auto; mso-list: l4 level1 lfo4; text-indent: -0.25in;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">1. I will check my email daily and respond to any questions with 24 hours. <span style="display: block; line-height: normal; margin: 0in 0in 0pt 0.5in; mso-add-space: auto; mso-list: l4 level1 lfo4; text-indent: -0.25in;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">2. I will update the site regularly with any changes or announcements. <span style="display: block; line-height: normal; margin: 0in 0in 0pt 0.5in; mso-add-space: auto; mso-list: l4 level1 lfo4; text-indent: -0.25in;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">3. I will post any reminders that I feel are necessary. <span style="display: block; line-height: normal; margin: 0in 0in 0pt 0.5in; mso-add-space: auto; mso-list: l4 level1 lfo4; text-indent: -0.25in;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">4. I will give feedback on assignments submitted within 1-2 days.

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Grading Policy:
<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Assignments will be graded as follows: = · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Weekly practice assignments 10 points x 6 assignments.................60 points  = = · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Weekly assignments 15 points x 4 assignments...............................60 points  = = · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Weekly discussions 10 points x 6 weeks...........................................60 points  = = · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Weekly responses to classmates 5 points x 6 weeks.......................30 points  = = · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Quizzes throughout 20 points x 2 quizzes..........................................40 points  = = · <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Unit test over learning targets.........................................................__100 points__  = = · **<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Total Points:......................................................................................350 points ** = = =

__<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">School Wide Grading System __
<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">A+ Over 100% ..............B 84-86% ..............C- 70-73% <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">A 94-100% ...................B- 80-83% .............D+ 67-69% <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">A- 90-93% ...................C+ 77-79% .............D 64-66% <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">B+ 87 -89% ..................C 74-76% ...............D- 60-63% <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">E Below 60 %

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Late Work Policy:
<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Assignments are due no later than Sunday midnight each week. Late work will receive 25% off, unless approved by the teacher ahead of time due to other circumstances.

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Course Outline:

 * <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">Week || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">Topic  || <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">Learning Target  ||
 * <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">1 || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Integers  || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can add, subtract, multiply, and divide integers.  ||
 * <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">2 || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Rational Numbers  || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can explain what a rational number is and show how it can be made into a ratio.  <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: normal; margin: 0in 0in 0pt;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can explain what a negative rational number is. <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: normal; margin: 0in 0in 0pt;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can explain the difference between a terminating and repeating decimal. <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: normal; margin: 0in 0in 0pt;"><span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can change decimals into fractions. <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: normal; margin: 0in 0in 0pt;">I can place whole #’s, integers, rational #’s, and irrational #’s on a number line.     ||
 * <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">3 || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Sq. and cube roots  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Roots and number line  || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can estimate and solve problems with square and cube roots using a calculator.  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can find square roots of perfect squares and approximate the square roots of non-perfect squares by locating between consecutive integers.  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: 115%;">I can find cube roots of perfect cubes and approximate the cube roots of non-perfect cubes by locating between consecutive integers.  ||
 * <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">4 || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Classifying numbers  || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can utilize a graphic organizer to classify numbers.  ||
 * <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">5 || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Exponents  || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can explain exponential growth using real life examples.  <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can explain what a zero exponent stands for and also what a negative integer means. ||
 * <span style="display: block; font-family: 'Times New Roman','serif'; font-size: 12pt; text-align: center;">6 || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Unit Test  || <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I can successfully complete all of the learning targets above!  ||

Attendance Requirement:
<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">There are no scheduled meeting dates for this class; therefore, attendance is not graded. However, you do have weekly assignments and responses you need to post. Therefore, you need to be responsible and stay on task in order to obtain a passing grade for this unit. You are on your way to becoming a responsible adult so as long as you are self disciplined you check your email and website daily you should not have any problems.