Week at a Glance: December 2, 2013

Current Unit / Focus: Unit 2 - Algebraic Equations (including special cases)

Unit Standards: MCC8.EE7

This week in math, we will complete the equations mini-unit. We will begin the week with a quiz to allow students to demonstrate their ability to solve multi-step equations. We will review the quiz to reinforce previously learned concepts before moving on to solving equations with variables on both sides and exploring special cases (all real numbers and no solution).

See the outline below for this week's agenda: (This agenda is subject to change based on students' needs).

Mon --> Review solving multi-step equations
              Equations Quiz
              Modeling equations (intro to variables on both sides)

Tues --> Review Quiz
              Solving equations with variables on both sides

Wed --> Exploring special cases (all real numbers & no solution)
              Equations Task Day 1

Thu --> Equations Task Day2

Fri --> Equations Assessment

Week at a Glance: October 28, 2013

This week in math, we will continue our study of scientific notation. Building upon what students learned last week, they will learn to perform operations on numbers in scientific notation and solve problems involving scientific notation.

The agenda for this week is listed below. This agenda is subject to change based on students' needs.

MON:
 - District Benchmark Assessment
 - Identifying and correcting improper scientific notation

TUE:
 - Multiplying and Dividing in scientific notation
 - Problem solving with scientific notation

WED:
 - Reality Fair

THU:
 - Scientific Notation task

FRI:
 - Complete Scientific Notation task
 - Quiz


Advanced math students will conclude the study of scientific notation by learning how to solve problems involving scientific notation powers.

MON:
 - District Benchmark Assessment

TUE:
 - Complete Scientific Notation Task
 - Intro to Scientific Notation Powers

WED:
 - Reality Fair
 - Practice Operations w/ scientific notation

THU:
 - Review properties of exponents and scientific notation

FRI:
 - Assessment

Week at a Glance: October 21, 2013

This week in math, we will work on scientific notation. Specifically, students will learn the following about scientific notation:

- Form (proper form) and function (when, how it is used in real-life)
- Converting: standard form <--> scientific notation
- Ordering & comparing numbers in scientific notation
- Performing operations / computation on numbers in scientific notation

To be most successful with these standards, it is important that students are familiar with the following terms:

* Coefficient
* Power of 10
* Base
* Exponent

We will continue to reinforce the properties of exponents as we study scientific notation. Students will be asked to make connections to the properties as they work with numbers in scientific notation.


The agenda for the week is listed below. This agenda is subject to change based on students' needs.

MON:
 - Intro to Scientific Notation
 - Converting Scientific Notation --> Standard Form

TUE:
 - Practice with Scientific Notation
 - Determining if numbers are expressed in proper scientific notation
 - Converting Standard Form --> Scientific Notation

WED:
 - Understanding powers of 10
 - Writing numbers in proper Scientific Notation
 - Ordering & Comparing Numbers in Scientific Notation

THU:
 - Scientific Notation Stations

FRI:
 - Quiz
 - Scientific Notation Practice


Students in Advanced Math will also work on Scientific Notation this week; however their agenda will be slightly different. It is shown below.

MON:
 - Exponents quiz
 - Multiplying & dividing scientific notation

TUE:
 - Review Multiplying & dividing scientific notation
 - Adding & subtracting scientific notation

WED:
 - Ordering & comparing numbers in scientific notation

THU:
 - Scientific Notation Task

FRI:
 - Scientific Notation Practice

Week at a Glance: October 14, 2013

Current Unit / Focus: Unit 2 - Properties of Exponents / Scientific Notation
Unit Standards: MCC8.EE1 /MCC8.EE3, MCC8.EE4

Crosswalk Coach Connection:
 -- Lesson 6 - Exponents

This week in math, we will continue to progress through unit 2 by completing our study of integer exponents and beginning our study of scientific notation.

During the beginning of the week, we will explore powers of 10 to make sense of the final 2 properties of integer exponents:  Zero Exponents and Negative Exponents. We will also work on using all of the properties to simplify exponential expressions and write equivalent expressions.

Students will have 2 tasks to complete to demonstrate their knowledge of the properties of integer exponents:
             * Properties of Exponents Flip Book (Assigned on Monday - Due on Thursday)
             * Properties of Exponents Bubble Map (Assigned on Tuesday - Due on Friday)

These tasks will count as a summative grade and will not be accepted late. They are to be submitted no later than the end of homeroom on the due date.

Students will / have received rubrics to outline the requirements and grading for each task. Ask your child to show you their rubric so you can help them assess their work before it is submitted for a grade.

See the outline below of this week's agenda. The agenda is subject to change based on students' needs.

MON	Exploring Powers of 10  - Zero Exponents  - Negative Exponents Assign Properties of Exponents Flipbook Task (DUE Thursday 10/17 in homeroom)  Will not be accepted late.
TUE	Practice Applying all properties of exponents  - Exponential Exponents Task/Activity  - Properties of Exponents Bubble Map assigned.
WED	Practice Applying all properties of exponents  - Exponential Exponents Task/Activity  - Work on Bubble Map Task
THU	Intro to Scientific Notation  - Form and Function  -  Converting:  Scientific Notation <--> Standard Form
FRI	Scientific Notation Stations

==============================================================
Advanced Math

Students in advanced math will focus on the same standards this week; however their assignments are somewhat different. Also, since they have moved through the properties of integer exponents a little bit more quickly, they will move on to scientific on Wednesday instead of Thursday.

Advanced math students have also been assigned 2 tasks to demonstrate their knowledge of the properties of integer exponents. Their tasks are:

 * Properties of Exponents Tree Map (Assigned Friday - Due Wednesday)

 * Properties of Exponents Bubble Map or Video (Assigned Monday, Due on Friday)

These tasks will count as a summative grade and will not be accepted late. 
They are to be submitted no later than the end of homeroom on the due date.

See the outline below of this week's agenda. The agenda is subject to change based on students' needs.

MON	Review Tree Map Task & Rubric Practice Applying all properties of integer exponents -       Exponential Exponents Task/Activity
TUE	Review Quiz Assign Bubble Map Task Problems Practice Applying all properties of integer exponents HW: Measuring Up Exponents Practice
WED	Intro to Scientific Notation -       Form and Function -       Converting: Scientific ß à Standard Form
THU	Scientific Notation Stations
FRI	Scientific Notation Stations

Week at a Glance: October 7, 2013

Current Unit / Focus: Unit 2 - Properties of Exponents
Unit Standards: MCC8.EE1

Crosswalk Coach Connection:
 -- Lesson 6 - Exponents

This week in math, we will continue learning about integer exponents. The focus for the week will be learning and applying the Properties of Exponents:

 - Product of Powers
 - Quotient of Powers
 - Power of Powers
 - Zero Exponents
 - Negative Exponents


See the outline below of this week's agenda. The agenda is subject to change based on students' needs.

MON	Properties of Exponents Discovery Activity -       Product of Powers, Quotient of Powers, Power of Powers
TUE	Properties of Exponents Discovery Activity -       Exploring Powers of 10 -       Zero Exponents, Negative Exponents
WED	Properties of Exponents Task Assigned Practice Applying Properties of Exponents  - Complete Properties of Exponents Graphic Organizer
THU	Exponential Exponents Task (Modified)  -   Properties of Exponents Quiz
FRI	Practice Applying Properties of Exponents

Students in advanced math will also focus on learning and applying integer exponents this week. They will also learn the power of a product power and explore rational  exponents (time permitted).  

This week's advanced math class is agenda is outlined below. This agenda is subject to change based on students' needs.

MON	Properties of Exponents Discovery Activity -       Review Product of Powers, -       Product of Quotient of Powers -       Power of Powers -       Power of a Product
TUE	Properties of Exponents Discovery Activity -       Exploring Powers of 10 -       Zero Exponents -       Negative Exponents
WED	Properties of Exponents Summative Task Assigned Explore rational exponents – look for a pattern Complete Properties of Exponents Graphic Organizer
THU	Exponential Exponents Task (Modified) Properties of Exponents Quiz
FRI	Practice Applying Properties of Exponents Work on Properties of Exponents Summative Task (time permitted)

8th Grade Week at a Glance: September 30, 2013

Current Unit / Focus: Unit 2 - Properties of Exponents
Unit Standards: MCC8.EE1

Crosswalk Coach Connection:
 -- Lesson 6 - Exponents

A N N O U N C E M E N T

We were scheduled to complete the angle relationships unit this week. However, I have decided to move on to Unit 2 and revisit angle relationships later. Students need to continue to study the geometry/ angle relationships terms everyday. They will have an unannounced quiz over these terms weekly throughout the month of October. Knowing these terms are critical to their success in working with angle relationships.

Vocabulary quizzes from before the break were returned today for parent signature. Students need to review their work and develop a study plan to learn the terms. They should know what each means and being able to identify pictures of each.

=======================================================================

This week in math, we will begin Unit 2, which includes the following topics:
 - Exponents
 - Scientific notation
 - Square & cube roots
 - Rational vs irrational numbers
 - Equations

We will spend the week studying integer exponents. At the beginning, of the week, we will work on developing an understanding of exponents how to write exponential expressions in different forms as well as evaluating exponential expressions. Thereafter, we will learn the properties of integer exponents.

See the outline below of this week's agenda. The agenda is subject to change based on students' needs.

MON
 -- Review geometry / angle relationships terms quiz
 -- Intro to exponents unit (notes / terms, writing exponential expressions in different forms)
 -- HW: Practice writing exponential expressions in verbal, expanded and standard form.

TUE
 -- Practice working with exponential expressions (expanding, simplifying, evaluating).
 -- Writing exponential expressions from word problems.
 -- HW: Practice worksheet 1.4 (front)

WED
 -- Practice with exponents
 -- HW: Practice worksheet 1.4 (back)

THU
 -- Quiz: Exponents Basics
 -- Exploring Properties of Exponents - Day 1

FRI
 -- Exploring Properties of Exponents - Day 2

*Students will have a geometry terms pop quiz one day this week. They need to study nightly!

Week at a Glance: September 16, 2013

Current Unit: Unit 1b - Angle Relationships, Triangles & Similarity
Unit Standards: MCC8.G4, MCC8.G5

Crosswalk Coach Connection: 
-- Lesson 26 - Similar Triangles
-- Lesson 27 - Interior and Exterior Angles of Triangles
-- Lesson 28 - Parallel lines and Transversals

This week in math, we will complete the last part of unit 1 with a study of angle relationships and triangles. Specifically, students will recall the angle relationships they learned last year and develop an understanding of the angle pairs that are formed when a transversal intersects a set of parallel lines. In addition, they will explore similar triangles and learn how the angle-angle criterion and triangle-angle sum theorem can be used to prove triangles are similar.

As I mentioned in previous posts, vocabulary is imperative to students' understanding in math. Students need to know and understand the following terms:

• alternate interior angles
• alternate exterior angles
• corresponding angles
• vertical angles
• adjacent angles
• supplementary angles
• complementary angles
• parallel lines
• perpendicular lines
• intersecting lines
• angle-angle criterion
• triangle angle sum theorem
• corresponding angles
• corresponding sides
• similar figures
• scale factor
• congruent

See the outline below for this week's agenda. The agenda is subject to change based on students' needs.

MON

- Lines & Angle Relationships Vocabulary

- Angle pairs formed when parallel lines are cut by a transversal

- HW: Identify angle relationships

TUE

- Use angle relationships to find angle measurements

- Setup & solve algebraic equations

- HW: Find angle measurements & justify (Measuring UP Lesson 47)

WED :

- Triangle angle sum theorem & exterior angle theorem (setup and solve equations)

- HW: Practice with Triangles - (Measuring Up Lesson 48)

THU:

- Vocab Quiz

- Triangle Similarity

- Begin City Project

- HW: Similar Triangles

FRI:

- Complete City Project

Advanced Math

In addition to the information listed above, students in advanced math will also learn about ratio of segments and proving parallel lines. They will use proportions to find the length of line segments formed when multiple transversals intersect at a set of parallel lines. They will also use information about angle measurements to prove that lines are or are not parallel. The agenda for advanced math is listed below.

MON

- Lines & Angle Relationships Vocabulary

- Angle pairs formed when parallel lines are cut by a transversal

- Use angle relationships to find angle measurements (setup & solve algebraic equations)

- HW: Use angle relationships to find measurements (Measuring UP 47)

TUE:

- Using angle relationships to find angle measurements and determine if lines are parallel

- HW: Practice finding angle measurements & providing proof.

WED :

- Vocab Quiz

- Ratio of Segments

- HW: Ratio of Segments Practice

THU:

- Triangle angle sum theorem & exterior angle theorem (setup and solve equations)

- Triangle Similarity

- HW: Practice with Triangles - (Measuring Up Lesson 48)

FRI:

- Lines & Angles Performance Task

Week at a Glance: September 2, 2013

Current Unit: Unit 1a Geometric Transformations
Unit Standards:  MCC8.G1, MCC8.G2, MCC8.G3, MCC8.G4

Crosswalk COACH Connection: Lesson 24

Due to ITBS testing and the shortened classes, we did not move as quickly as I anticipated last week. As such, we will complete the first part of the Rigid Transformations mini unit this week. Students have completed the first part (a performance task) of the 2-part unit assessment on Friday and will take the second part, which is a traditional test in class on Tuesday.

On Wednesday, we will begin an exploration of non rigid transformations -- dilations. Students will understand that dilations stretch or shrink figures proportionately. Students will learn to determine if a figure has been dilated or distorted by analyzing the relationships between corresponding sides and angles. Since we did not have an opportunity to use rigid transformations to prove or disprove congruency last week, I will add that to this week's lesson plan.  In addition, students will explore congruency versus similarity and use rigid and non-rigid transformations to prove whether figures are congruent, similar, both or neither.

In order to be successful with this unit, it is imperative that students are well versed with the following unit terms.

• transformation
• pre-image
• image
• translation
• vertical
• horizontal
• rotation
• angle of rotation
• point of rotation
• clockwise
• counterclockwise
• reflection
• line of reflection
• line of symmetry
• symmetrical
• congruent
• similar
• dilation
• distortion
• corresponding sides
• corresponding angles

Below is an outline of this week's agenda. This outline is subject to change based on the needs of the students.

MON
 -- LABOR DAY - Schools Closed

TUE
 -- Review Transforming BOB Performance Task
 -- Rigid Transformations Test
 -- HW - Graphing points to create figures (create figures for Dilations in the Coordinate Plane Task)

WED
 -- Dilations in the Coordinate Plane Task (Analyze figures - determine relationships)
 -- Discuss similarity / proving similarity (Notes - similar figures)
 -- HW - Dilations practice

 THU
 -- Compare & contrast congruence and similarity
 -- Demonstrate how how transformations can be used to prove congruency and/or similarity.
 -- Use transformations to determine if figures are congruent, similar, both, or neither
 -- HW - Changing Shapes Task

FRI
 -- Transformations Practice

==========================================================
Advanced Math

Students in advanced math have moved through the unit more quickly. They completed the assessment on Thursday and began the Dilations in the Coordinate Plane Task on Friday. Their agenda for the week is as follows:

MON
 -- LABOR DAY - Schools Closed

TUE
 -- Dilations in the Coordinate Plane Task (Analyze figures - determine relationships)
 -- Discuss similarity / proving similarity (Notes - similar figures)
 -- HW - Dilations practice

WED
 -- Compare & contrast congruence and similarity
 -- Demonstrate how how transformations can be used to prove congruency and/or similarity.
 -- Use transformations to determine if figures are congruent, similar, both, or neither
 -- HW - Changing Shapes Task

THU
 -- Congruent vs Similar Triangles (Proofing Triangle Congruence)
 -- HW  - Triangle Congruence Practice

FRI
 -- Transformations Practice

Week at a Glance: August 26, 2013

Current Unit: Unit 1a Geometric Transformations
Unit Standards:  MCC8.G1, MCC8.G2, MCC8.G3

Crosswalk COACH Connection: Lesson 24


This week in math, we will complete the first unit, Rigid Transformations. We will begin the week with a continuation of the reflections exploration. Thereafter, students will work on tasks designed to review all of the rigid transformations (translations, rotations, and reflections). In addition, students will use rigid transformations to determine if a set of figures are congruent.

Students will take a 2-part unit assessment on Thursday and Friday. Part I of the assessment will be a performance task that will require students to perform all of the rigid transformations. Part II will be a traditional type test on which students will have to answer questions.

In order to be well prepared for the assessment, it is important that students know and understand the unit terms, which are listed in the week at a glance from the 2 weeks.

Below is an outline of this week's agenda. This outline is subject to change based on the needs of the students.

MON
 -- Reflections Exploration continued (reflect over lines other the the axes)
 -- HW - Complete exploration questions

TUE
 -- Discuss / summarize reflections exploration
 -- Review all rigid transformations
 -- HW - Reflections practice worksheet

WED
 -- Discuss congruency & how rigid transformations can be used to prove congruency
 -- Use rigid transformations to prove / disprove congruency

THU
 -- Review using rigid transformations to prove / disprove congruency
 -- Unit Assessment - Part I BOB

FRI
 -- Unit Assessment Part II

==========================================================
Advanced Math

Students in advanced math have moved through the unit more quickly. As such their agenda is slightly different.

MON
 -- Rigid Transformation Task - continued

TUE
 -- Review Rigid Transformations Task
 -- Unit assessment Part I

WED
 -- Unit assessment Part II
 -- Recall ratios & proportions

THU
 -- Dilations in the Coordinate Plane Task
 -- HW - Complete Task / Practice with similar figures

FRI
 -- Changing Shapes Task

Week at a Glance: August 19, 2013

Current Unit: Unit 1a Geometric Transformations
Unit Standards:  MCC8.G1, MCC8.G2, MCC8.G3

Crosswalk COACH Connection: Lesson 24

This week in math, we will continue to study the standards in Unit 1a: Rigid Transformations and Congruency.  Students will focus on rotations and reflections, particularly describing the effect that these transformations have on a figure.

On of the big ideas of this unit is that rigid transformation produce images that are congruent to the original figure. Students will recall congruency and demonstrate their understanding by writing congruence statements to identify corresponding sides and angles of two figures. In addition, students will use transformations to determine if figures are congruent.

Again, it is important that students are well versed with the vocabulary to be most successful with this unit. The unit terms include:

• translation
• rotation
• reflection
• original
• image
• clockwise
• counterclockwise
• horizontal
• vertical
• x-axis
• y-axis
• x coordinate
• y coordinate
• point of rotation
• angle of rotation
• line of reflection
• equidistant

Below is an outline of this week's agenda. This outline is subject to change based on the needs of the students.

MON    
 -- Rotations Exploration - Part I & II
 -- HW - Complete 6 rotations (images & tables of coordinates)

TUE      
 -- Rotations Exploration - Part III
 -- Analyze six images to identify patterns to explain how rotations impact the coordinates of a figure
 -- HW Rotations Practice

WED
 -- Rotations Quiz
 -- Coordinating Rotations Task

THU
 -- Reflections Exploration Task - Day 1
 -- Complete reflections and questions from Task

FRI
 -- Reflections Exploration Task - Day 2
 -- Students share / summarize. Discovery properties of reflections.


==============================================================
Advanced Math
The advanced math students are moving at a faster pace. As such, they finished exploring translations and rotations and have moved onto exploring reflections. The weekly outline is as follows:

Monday:
 -- Reflections Exploration Task - Summarize properties of reflections.
 -- HW - Reflecions Practice worksheet

Tuesday:
 -- Rigid Transformation Review Activity - Using Rigid Transformations to determine congruency.
 -- Complete for Homework

Wednesday:
 -- Reflections Exploration - Reflecting over diagonal lines (y = x and y = -x)
 -- Recall congruency / Practice writing statement of congruence

Thursday:
 -- Rigid Transformations Formative Assessment Task

Friday:
 -- Rigid Transformations Review Activity - Transformation Man

Week at a Glance: August 12, 2013

Current Unit: Unit 1a Geometric Transformations
Unit Standards:  MCC8.G1, MCC8.G2, MCC8.G3

Crosswalk COACH Connection: Lesson 24
*********************************************************************************
This week in math, we will continue to study Geometric Transformations. We will focus on translations on Monday and Tuesday. Students will continue to explore translations and learn how to write and interpret translations in general form (algebraic) from a graph or a set of ordered pairs.

Monday:
 -- Translations Exploration (continue from Friday)
 -- Writing / Reading translations in general form

*HW - Translations Practice worksheet

Tuesday:
 -- Translations matching (group activity)
 *HW - Coordinating Translations Task

Wednesday:
 -- Translations Quiz

Thursday:
 -- Review Translations Quiz
 -- Rotations Exploration
*HW: Rotations Practice worksheet

Friday:
Coordinating Rotations Task

To be successful in this unit, it is important that students know the terms. They need to study them on a nightly basis until they have mastered all of them. Other prerequisite skills include: understanding the coordinate plane, plotting and reading points on a coordinate graph and integer operations.

========================================================================
Advanced Math
The advanced math students are moving at a faster pace. As such, they finished exploring translations on Friday and will begin this week with rotations and move into reflections. The weekly outline is as follows:

Monday:
 -- Rotations Explorations Task
*HW - Rotations Practice worksheet

Tuesday:
 -- Rotations Exploration Task 2
    (Rotating about a fixed point other than the origin / Rotating in 45 degree increments).

Wednesday:
 -- Reflections Exploration Task
*HW - Reflecions Practice worksheet

Thursday:
 -- Reflections Explorations Task - 2
    (Reflecting over y = x)

Friday:
 -- Rigid Transformations Review Activity

Week at a Glance: August 5, 2013

Generally, I try to publish the "Week at a Glance" at the beginning of each week to let you know what we will study in math for the week.  Each Monday (or first school day of the week), students are instructed to copy down the weekly agenda into their notebooks. Please check your child's agenda on Monday evenings and review the weekly math game plan with them.

This week in math, we will begin the week with a Unit Pre-test on Monday. Following the brief pretest, students will create a picture by plotting ordered pairs on the coordinate plane. This task will reinforce some of the prerequisite skills for the first unit, including plotting and reading ordered pairs and working with a coordinate grid.

For the remainder of the week, we will work on Unit 1a: Geometric Transformations. The unit will be introduced with a hands exploration of rigid transformations: translation, rotation, reflection.

Thereafter, we will study each of the transformations in isolation. Later this week, we will begin a focus on translations. Students will perform and interpret translations. They will need to know how to read and write translations verbally as well in the general form (algebraically). They will also need to be able to identify translations from pictures as well as sets of ordered pairs.

Students will need to know the following terms:

• Transformation
• Translate
• Rotate
• Reflect
• Clockwise
• Counterclockwise
• Original
• Image
• Vertical
• Horizontal

***HOMEWORK:  Students will have math homework every night except Friday. 

They may have a quiz on Friday depending on how far we get this week.

Welcome Class of 2017

Welcome Class of 2017 Parents and Students.

It was great to meet so many of you during Open House.

I am looking forward to an exciting year of learning in 8th grade math. It is important that students have their supplies and are prepared for class as quickly as possible. The supply list for math is as follows:

• 2 composition notebooks (One for now will do.)
• Pencils (with extra lead if using mechanical pencils)
• Erasers
• Pocket pencil sharpener
• Colored pencils
• Markers
• Highlighter
• Ruler
• Graph paper
• Lined paper
• 2 pocket folders with prongs
• Index cards
• Glue sticks

Reminder:  We are placing a school order for Math Crosswalk CRCT Coach Books for students. This book is well aligned to the 8th grade math standards and will serve as an excellent resource for students as they complete assignments and prepare for CRCT. The cost is $6 per book. We must receive your order form and payment no later than Friday, August 9.

If you have any questions about 8th grade math, please contact me.  

Week at a Glance: February 4, 2013

This week in math, we will continue with the function unit. We will review the quiz from last week and continue to review identifying functions from: ordered pairs, mapping diagrams, tables & graphs.  Students will also identify functions from verbal expressions and word problems.

Students will learn to write rules for relations (functions and non functions) and distinguishing between linear and non linear relationships. They will also apply function rules (given a function rule and a set of input values, students will find the corresponding output values).

Week at a Glance: January 28, 2013

This week in math, we will begin the functions unit. We will start the unit by unpacking the standards to ensure that students understand what they are expected to learn. Students will work on identifying functions from a variety of situations:

*set of ordered pairs
*mapping diagrams
*tables
*graphs

Students will have a quiz on Friday. The quiz will require them to use different methods to determine if relationships are functions. It is important that they can explain their reasoning. They need to be able to articulate how the input values determine whether or not the relation is a function.

Week at a Glance: January 21, 2012

This week in math, we will finish the Pythagorean Theorem unit. I decided to spend one more week on this unit to provide some additional practice for the students. The unit assessment will be on Friday, January 25. Students will be assessed on their understanding and ability to apply the Pythagorean Theorem. They should be able to do the following:

Demonstrate an understanding that the Pythagorean Theorem is a statement about the areas of squares off of the legs and hypotenuse of a right triangle.

Use the Pythagorean Theorem to find a missing side length (leg or hypotenuse) of a right triangle.

Demonstrate an understanding of the relationship between the area of a square and its side length.
 -- side = square root of area

Find the square root of perfect squares and estimate the square root of non perfect squares.

Use the Pythagorean Theorem to find distances (or lengths) in a coordinate grid.

Use the Pythagorean Theorem (converse) to determine if a given set of side lengths could form a right triangle.

Apply the Pythagorean Theorem to solve problems.

Distinguish between rational and irrational numbers.


The link below is to a website that has some helpful information about the Pythagorean Theorem.

http://www.mathsisfun.com/pythagoras.html