Thanks, Peanut! Polygons are simple, closed figures having three or more straight sides. Or are they?
|
|
|
- Austin McDowell
- 6 years ago
- Views:
Transcription
1 Angle Sums MA6927 Activity Introduction In Math news today, we re discussing the interior angle sums of polygons. To lead us into this labyrinth of sides and angles is Daaaaaaaaan Anchormann! Direct Instruction Thanks, Peanut! Polygons are simple, closed figures having three or more straight sides. Or are they? To add up all the angles and find the answers, let s go to Lord Rottington. He knows shapes like the back of his hand Model 1 Hmmm I ve never seen that before. Ah, yes, hello there! As I understand it, today we re discussing the interior design of polygons pastels and plaids. Sums, sir. We re looking for the sums of the interior angles. Oh good. I didn t think polygons required interior decorators to decorate their angles! And the lad was right! Polygons are simple, closed figures having three or more straight sides. The interior angles are the angles inside the polygon. To find the sum of the interior angles of a polygon, you simply add the measure of each angle. For example, in the triangles shown, you d find the sum of the interior angles by adding the measure of each angle inside the triangle. The sum of the interior angles is onehundred-eighty.
2 Now, the sum of interior angles will differ based on the number of sides. A triangle has three sides, and the sum of the interior angles is 180 The sum of the interior angles of a four-sided polygon, or a quadrilateral, is threehundred-sixty The sum of the interior angles of a five-sided polygon is fivehundred-forty So let s say you want to find the total number of degrees of a polygon. To do that, you d use the formula one-hundred-eighty degrees multiplied by the difference of n minus two. The variable, n, represents the number of sides in the polygon. Let s use the formula to find the sum of the interior angles in a hexagon, or a polygon with six sides. First, you substitute the variable n with the number six. Remember to follow the order of operations and solve inside the parenthesis first. So, six minus two is four. One-hundred-eighty degrees multiplied by four is sevenhundred-twenty And there you have it A hexagon, also known as a polygon with six sides, has a total interior angle sum of seven-hundred-twenty Good show! Let s gather ourselves here for a sec. Think you re ready to go forward? Or do you think you need to watch that again, just to make sure you ve got it? Model 2 And we re back! Lord Rottington s ready to show you how to use the formula to find the total sum of the interior angles in other polygons. Excited? I am! Let s get to it! Who doesn t love a good formula every now and again? Helps to keep order and you know how I love order.
3 So this time, you re going to use the formula to find the total sum of the interior angles in a twelve-sided polygon. Twelve sides? My, my my A polygon can have any number of sides, Antonio. Here s how the formula works with twelve So remember, the formula is one hundred-eighty degrees multiplied by the difference of n minus two. n, you ll recall, represents the number of sides in the polygon. To find the total sum of the angles in a twelve-sided polygon, substitute the variable n with the number twelve. Following the order of operations, first you subtract two from twelve, then multiply onehundred-eighty degrees by difference, ten. And there you see that the sum of the interior angles in a twelve-sided polygon is onethousand-eight-hundred Now, Antonio. How do you think we could use the formula to find the total sum of the interior angles for a polygon with twenty-sides? Oh, my my my. Twenty sides. (mumbles a bit) Let s see here. I d use the formula, one hundred eighty degrees multiplied by the difference of n minus two; n being the number of sides in the polygon, of course. Since I know the shape has twenty sides, I d substitute the variable n with the number twenty. To find the answer, first I d subtract two from twenty, to get eighteen and multiply onehundred-eighty by eighteen. And hooray! The sum of the interior angles in a polygon with twenty blazing sides is three thousand two-hundred-forty
4 That went swimmingly, old chap! Thank you, sir. Did that go swimmingly for you, too? Or is the formula still a bit foreign to you? Tell me what you want to do and that s what we ll do. Model 3 our last go round, let s see if you can find an angle measurement inside a polygon. Take it away, Lord Rottington! Let s see here. Ah, yes! Before I m off to tea time, let me share with you the last thing I think every practitioner of polygons should know. Tell me What s the missing angle measurement in the polygon shown below? Well, as you can see, this polygon has five sides. To find the angle measure, you first need to know the sum of all the angles in the polygon. Using the formula, one-hundred-eighty degrees multiplied by the difference of n minus two, you can deduce that the sum of all the interior angles is five-hundred-forty. Now, since you want to find the missing value, you need to add the known angle measurements. One-hundred-twenty-five plus ninety plus one-hundred-thirty plus onehundred-ten equals four hundred fifty-five. Solving the equation by subtracting four hundred fifty-five on both sides, you can find the missing angle measurement to be eighty-five That seemed complicated. It couldn t be simpler than this, my friend. Here it is, short and sweet. First, you find the total sum of the interior angles for the polygon. Second, you add the known values of the angles in the polygon. Finally, you subtract the values from the sum of the interior angles of the polygon.
5 Thank you sir! Alrighty! How re ya doin? Ready to tackle real problems? Or do you think you need to go through that one more time, for good measure? End of Activity Review Well, we covered a lot of ground today, huh? Let's go over it again. In this activity, you used the formula one-hundred-eighty degrees multiplied by the difference of n minus 2 to find the total of the interior angle sums in polygons. Here, n represents the number of sides in the polygon. You also learned to find the missing angle measure of a polygon. First, you found the total sum of the interior angles for the polygon. Next, you added the known values of the angles in the polygon. Finally, you subtracted the values from the sum of the interior angles of the polygon. You rule! And here s the perfect place to take a breather, in case you re not quite ready to move on. Or are you? You tell me.
Ratios can be written in several different ways. Using a colon. Using the word to. Or as a fraction.
Show Me: Proportional Relationships M7051 Tanyss and her family are redecorating parts of their house. One of their projects is to replace the tiles on the kitchen floor, and they will use this plan of
In this lesson, we will use the order of operations to evaluate and simplify expressions that contain numbers and variables.
Show Me: Expressions M8081 Could we sit in a classroom on the other side of the world and still make sense of the mathematics? The answer is yes! Of course, we might not understand exactly what the teacher
Section 1.1 Patterns in Division
Section 1.1 Patterns in Division Divisibility refers to whether or not a number is divisible by another number. If a number divides evenly into another number (no remainder), then it is divisible by that
Place Value to Thousands
Place Value to Thousands You can show,0 in a place-value chart. The value of each digit in a number depends on its place in the number. In,0 the value of: is hundred thousand or 00,000. is ten thousands
1.1 Review of Place Value
1 1.1 Review of Place Value Our decimal number system is based upon powers of ten. In a given whole number, each digit has a place value, and each place value consists of a power of ten. Example 1 Identify
9 R1 Get another piece of paper. We re going to have fun keeping track of (inaudible). Um How much time do you have? Are you getting tired?
Page: 1 of 14 1 R1 And this is tell me what this is? 2 Stephanie x times y plus x times y or hm? 3 R1 What are you thinking? 4 Stephanie I don t know. 5 R1 Tell me what you re thinking. 6 Stephanie Well.
17. [Exploring Numbers]
![17. [Exploring Numbers]](/thumbs/92/111022017.jpg "17. [Exploring Numbers]")
. [Exploring Numbers] Skill. Comparing whole numbers. Compare the size of the digits in the same place, one at a time. Work from left to right across each number. Q. Which number is the A ) 06 B ) 60 C
4-8 Notes. Warm-Up. Discovering the Rule for Finding the Total Degrees in Polygons. Triangles
Date: Learning Goals: How do you find the measure of the sum of interior and exterior angles in a polygon? How do you find the measures of the angles in a regular polygon? Warm-Up 1. What is similar about
Table of Laplace Transforms
Table of Laplace Transforms 1 1 2 3 4, p > -1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Heaviside Function 27 28. Dirac Delta Function 29 30. 31 32. 1 33 34. 35 36. 37 Laplace Transforms
5 R1 The one green in the same place so either of these could be green.
Page: 1 of 20 1 R1 Now. Maybe what we should do is write out the cases that work. We wrote out one of them really very clearly here. [R1 takes out some papers.] Right? You did the one here um where you
Expressing Decimal Numbers in Word Form
Expressing Decimal Numbers in Word Form Sep 27 10:17 PM 1 When reading decimal numbers, the decimal can be expressed by saying decimal, point or and. Example: A) 307 518.537 Three hundred seven thousand
Activity 1 Look at the pattern on the number line and find the missing numbers. Model. (b) (c) (a) (b) (c) (d)
Lesson Look at the pattern on the number line and find the missing numbers. Model (a) (b) (c) 9 Answers: (a) (b) (c) (a) (b) (c) (a) (b) (c) (a) (b) (c) 00 00. (a) (b) 00. (c) 0 0 (a) (b) (c) Use the number
Mathematics. Name: Class: Transforming Life chances
Mathematics Name: Class: Transforming Life chances Children first- Aspire- Challenge- Achieve Aspire: To be the best I can be in everything that I try to do. To use the adults and resources available both
DECIMALS are special fractions whose denominators are powers of 10.
Ch 3 DECIMALS ~ Notes DECIMALS are special fractions whose denominators are powers of 10. Since decimals are special fractions, then all the rules we have already learned for fractions should work for
4 + 4 = = 1 5 x 2 = 10
Beginning Multiplication Ask your child... "Have you ever seen a multiplication problem?" Explain: "Instead of a plus ( + ) sign or a minus ( - ) sign a multiplication sign ( x ) is used." Have child to
Place Value. Unit 1 Lesson 1
Unit 1 Lesson 1 Students will be able to: Read, write, whole numbers and decimals to thousandths. Key Vocabulary: Digits Place value position Decimal point The standard form The expanded form Digits are
Whole Numbers WHOLE NUMBERS.
Whole Numbers WHOLE NUMBERS www.mathletics.co.uk How does it wk? Solutions Whole Numbers Page questions Place values Write down the place values f each of these numbers a 6 b 60 Place value of : 000 Place
Name: Tutor s
Name: Tutor s Email: Bring a couple, just in case! Necessary Equipment: Black Pen Pencil Rubber Pencil Sharpener Scientific Calculator Ruler Protractor (Pair of) Compasses 018 AQA Exam Dates Paper 1 4
Angles, Polygons, Circles
Page 1 of 5 Part One Last week we learned about the angle properties of circles and used them to solve a simple puzzle. This week brings a new puzzle that will make us use our algebra a bit more. But first,
Did you ever think that a four hundred year-old spider may be why we study linear relationships today?
Show Me: Determine if a Function is Linear M8221 Did you ever think that a four hundred year-old spider may be why we study linear relationships today? Supposedly, while lying in bed Rene Descartes noticed
GRADE 6 PAT REVIEW. Math Vocabulary NAME:
GRADE 6 PAT REVIEW Math Vocabulary NAME: Estimate Round Number Concepts An approximate or rough calculation, often based on rounding. Change a number to a more convenient value. (0 4: place value stays
360 right angle, 90. Types of Angles
Angle Measures Lesson 8 8 Angles Type Measure Right angle 90 Obtuse angle Acute angle more than 90, less than 80 less than 90 0 9 2 2 3 0 9 2 2 3 Straight angle 80 8 7 6 5 4 8 7 6 5 4 Full circle 360 right
Subtraction Understand Subtraction on a Number Line Using a number line let s demonstrate the subtraction process using the problem 7 5.
Objective 1 Subtraction Understand Subtraction on a Number Line Using a number line let s demonstrate the subtraction process using the problem 7 5. -7-6 -5-4 -3-2 -1 0 1 2 3 4 5 6 7 Using the number line
9.5 Classifying Polygons
www.ck12.org Chapter 9. Geometric Figures 9.5 Classifying Polygons Introduction The Sculpture Courtesy of Martin Fuchs Marc, Isaac and Isabelle continue to work on their design for the skatepark. Isabelle
Fractions and their Equivalent Forms
Fractions Fractions and their Equivalent Forms Little kids use the concept of a fraction long before we ever formalize their knowledge in school. Watching little kids share a candy bar or a bottle of soda
Monroe County School District Elementary Pacing Guide
Date Taught: Second Grade Unit 1: Numbers and Operations in Base Ten Timeline: August Fall Break CMA: October 6-7 M.NO.2.1 Understand that the three digits of a three-digit number represent amounts of
Hundred-thousands. Millions. Ten-thousands
Place Value, Names for Numbers, and Reading Tables The digits used to write numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Unit 1 Lesson 1a Natural numbers are positive numbers only {1, 2, 3, 4, 5, 6, 7,
Click the mouse button or press the Space Bar to display the answers.
Click the mouse button or press the Space Bar to display the answers. 9-4 Objectives You will learn to: Identify regular tessellations. Vocabulary Tessellation Regular Tessellation Uniform Semi-Regular
Excerpt from "Art of Problem Solving Volume 1: the Basics" 2014 AoPS Inc.
Chapter 5 Using the Integers In spite of their being a rather restricted class of numbers, the integers have a lot of interesting properties and uses. Math which involves the properties of integers is
5 th Grade Common Core. Math Review. 40 Pages. All Standards. Jennifer Findley
5 th Grade Common Core Math Review 40 Pages All Standards Jennifer Findley The first 30 pages contain standards in all 5 domains, grouped this way: The last ten pages contain only Number and Operation
Everyday Math and the Indiana Academic Standards for Grade 4 Mathematics
Unit One 1.2-1.3 Identify, describe, and draw rays, right angles, acute angles, 4.4.1 Geometry Right Time Geometry obtuse angles and straight angles using appropriate mathematical tools and technology.
Lesson 166 (Pages 27-29)
0 Lesson Lesson (Pages -) Skills / Concepts Understand horizontal and vertical lines Begin memorizing += and += Class Preparation Flash Cards: Move += and += from UNUSED FACTS to NEW FACTS. Move CC FLASH
Warm-Up Exercises. 1. If the measures of two angles of a triangle are 19º and 80º, find the measure of the third angle. ANSWER 81º
Warm-Up Exercises 1. If the measures of two angles of a triangle are 19º and 80º, find the measure of the third angle. 81º 2. Solve (x 2)180 = 1980. 13 Warm-Up Exercises 3. Find the value of x. 126 EXAMPLE
Coached Instruction Supplement
Practice Coach PLUS Coached Instruction Supplement Mathematics 5 Practice Coach PLUS, Coached Instruction Supplement, Mathematics, Grade 5 676NASP Triumph Learning Triumph Learning, LLC. All rights reserved.
2nd GRADE-Math Year at a Glance
2nd Grade - Math Year at a Glance: 2017-2018 Chariton Community School District Operations and Algebraic Thinking Represent and solve problems Number and Operations in Base Ten Use place value understanding
How to convert a numeric value into English words in Excel
How to convert a numeric value into English words in Excel (Microsoft Office Excel 2003, Microsoft Office Excel 2007, Microsoft Excel 2010, Excel 2016, Microsoft Excel 2013) Summary This article contains
7.1 Interior and Exterior Angles
Name Class Date 7.1 Interior and Exterior ngles Essential Question: What can you say about the interior and exterior angles of a triangle and other polygons? G.6.D Verify theorems about the relationships
Fun with Diagonals. 1. Now draw a diagonal between your chosen vertex and its non-adjacent vertex. So there would be a diagonal between A and C.
Name Date Fun with Diagonals In this activity, we will be exploring the different properties of polygons. We will be constructing polygons in Geometer s Sketchpad in order to discover these properties.
SPRITES Moving Two At the Same Using Game State
If you recall our collision detection lesson, you ll likely remember that you couldn t move both sprites at the same time unless you hit a movement key for each at exactly the same time. Why was that?
Use the Associative Property of Multiplication to find the product.
3-1 1. The Associative Property of Multiplication states factors can be grouped differently and the product remains the same. Changing the grouping of the factors changes the factors that are multiplied
Rev Name Date. . Round-off error is the answer to the question How wrong is the rounded answer?
Name Date TI-84+ GC 7 Avoiding Round-off Error in Multiple Calculations Objectives: Recall the meaning of exact and approximate Observe round-off error and learn to avoid it Perform calculations using
CIRCLES ON TAKS NAME CLASS PD DUE
CIRCLES ON TAKS NAME CLASS PD DUE 1. On the calculator: Let s say the radius is 2. Find the area. Now let s double the radius to 4 and find the area. How do these two numbers relate? 2. The formula for
Mastering Binary Math
Cisco certification candidates, from the CCNA to the CCIE, must master binary math. This includes basic conversions, such as binary-to-decimal and decimal-to-binary, as well as more advanced scenarios
Math in Focus Vocabulary. Kindergarten
Math in Focus Vocabulary Kindergarten Chapter Word Definition 1 one 1 * 1 two 2 * * 1 three 3 * * * 1 four 4 * * * * 1 five 5 * * * * * 1 same things that have a common property 1 different things that
Are you ready for Beast Academy 4B?
re you ready for east cademy 4? Step 1. he student should try to answer every question without a calculator and without help. Step 2. heck the student s answers using the solutions at the end of this document.
Objective- Students will be able to use the Order of Operations to evaluate algebraic expressions. Evaluating Algebraic Expressions
Objective- Students will be able to use the Order of Operations to evaluate algebraic expressions. Evaluating Algebraic Expressions Variable is a letter or symbol that represents a number. Variable (algebraic)
Contents. Heinemann Maths Zone Copyright Pearson Australia (a divsion of Pearson Australia Group Pty Ltd)
Contents Chapter 1 Whole numbers R1.1 Mathematics in sentences R1.2 Rounding to the first digit R1.3 Operations on whole numbers R1.4 Addition of whole numbers R1.5 Consecutive numbers R1.6 Ordering R1.7
Convex polygon - a polygon such that no line containing a side of the polygon will contain a point in the interior of the polygon.
Chapter 7 Polygons A polygon can be described by two conditions: 1. No two segments with a common endpoint are collinear. 2. Each segment intersects exactly two other segments, but only on the endpoints.
Lesson 5. Interior Angles of Polygons
Math 6 Lesson 5 Interior Angles of Polygons Triangles and the Biosphère Richard Buckminster Fuller (1895 1983) was an engineer, inventor, and architect. One of his greatest works of architecture was the
Naming Angles. One complete rotation measures 360º. Half a rotation would then measure 180º. A quarter rotation would measure 90º.
Naming Angles What s the secret for doing well in geometry? Knowing all the angles. An angle can be seen as a rotation of a line about a fixed point. In other words, if I were mark a point on a paper,
Cambridge Essentials Mathematics Core 9 GM1.1 Answers. 1 a
GM1.1 Answers 1 a b 2 Shape Name Regular Irregular Convex Concave A Decagon B Octagon C Pentagon D Quadrilateral E Heptagon F Hexagon G Quadrilateral H Triangle I Triangle J Hexagon Original Material Cambridge
Unit 1, Lesson 1: Moving in the Plane
Unit 1, Lesson 1: Moving in the Plane Let s describe ways figures can move in the plane. 1.1: Which One Doesn t Belong: Diagrams Which one doesn t belong? 1.2: Triangle Square Dance m.openup.org/1/8-1-1-2
Year 7 Term 1 Intermediate
Year 7 Term 1 Intermediate Overview: Term 1 Learning Objectives Topic: Integers, Powers and Roots Big Questions: - How do you know when you have found all the factors of a number? - What would the HCF
Multipl. Nadene of 07/2010
1 Multipl tiplication Table X 1 2 3 4 5 6 7 8 9 10 11 12 1 1 2 3 4 5 6 7 8 9 10 11 12 2 2 4 6 8 10 12 14 16 18 20 22 24 3 3 6 9 12 15 18 21 24 27 30 33 36 4 4 8 12 16 20 24 28 32 36 40 44 48 5 5 10 15
Solving Problems with Similar Triangles
Solving Problems with Similar Triangles xample 1: Given that lines and are parallel in the figure to the right, determine the value of x, the distance between points and. Solution: First, we can demonstrate
Lesson 6-5: Transforms of Graphs of Functions
There s an old saying that says a picture is worth a thousand words. I d like to propose a slight modification: a picture is worth a thousand numbers. Anyone who plays with data looks for a way to visualize
Properties of Triangles
Starter 1) Solve 4sin(x) - 1 = 0 for 0 < x < 360 2) Properties of Triangles Today we are learning... The properties and types of triangles. I will know if I have been successful if... I can identify and
Multiplying and Dividing Fractions 2
Unit : Linear Equations Name Directions: Solve. Multiplying and Dividing Fractions 7 Appendix B: Answer Keys Transparency/Guided Practice Book Answers 4 Unit : Linear Equations Name Directions: Calculate.
Angles of Polygons. Essential Question What is the sum of the measures of the interior angles of a polygon?
7.1 Angles of Polygons Essential Question What is the sum of the measures of the interior angles of a polygon? The Sum of the Angle Measures of a Polygon Work with a partner. Use dynamic geometry software.
Chapter 15 Right Triangle Trigonometry
Chapter 15 Right Triangle Trigonometry Sec. 1 Right Triangle Trigonometry The most difficult part of Trigonometry is spelling it. Once we get by that, the rest is a piece of cake. efore we start naming
Subtracting with Multi-Digit Numbers Adaptable for 2 nd, 3 rd, 4 th, and 5 th grades*
Subtracting with Multi-Digit Numbers Adaptable for 2 nd, 3 rd, 4 th, and 5 th grades* *Please note that this lesson will be most effective after students have been taught a conceptual foundation in subtraction
Decimals. Chapter Five
Chapter Five Decimals 5.1 Introductions to Decimals 5.2 Adding & Subtracting Decimals 5.3 Multiplying Decimals & Circumference of a Circle 5.4 Dividing Decimals 5.5 Fractions, Decimals, & Order of Operations
Unit 1 : Numbers to 1,000
Unit : Numbers to,000 Counting Within,000 Friendly Notes We can group big numbers into hundreds, tens, and ones. This makes counting easy.. Count the straws. 00 00 0 00, 200, 300, 400, 500, 600, 60, 6,
HIGH ORDER QUESTION STEMS STUDENT SCALE QUESTIONS FCAT ITEM SPECIFICATION
Benchmark Support Task Cards MA.3.A.1.1 BENCHMARK: MA.3.A.1.1 Model multiplication and division, including problems presented in context: repeated addition, multiplicative comparison, array, how many combinations,
4 th Grade CRCT Study Guide
Numbers and Operations 43% Place Value Whole numbers Estimate the sum or difference millions Hundred thousands Ten thousands thousands hundreds tens ones 7, 5 2 3, 8 2 5 Seven million, five hundred twenty
LYCEE EL HOREYA LANGUAGE SCHOOL MATHEMATICS DEPARTMENT WORKSHEETS NAME :... CLASS :...
LYCEE EL HOREYA LANGUAGE SCHOOL MATHEMATICS DEPARTMENT WORKSHEETS NAME :... CLASS :... Any number multiplied by( X) by 1 = the same number Ex. 3 x 1 = 3 7 x 1 = 7 2 - Any number X by 0 = 0 Ex. 4 x 0 =
7.1 Interior and Exterior Angles
Name Class Date 7.1 Interior and Exterior ngles Essential Question: What can you say about the interior and exterior angles of a triangle and other polygons? Resource Locker Explore 1 Exploring Interior
Fractions and their Equivalent Forms
Fractions Fractions and their Equivalent Forms Little kids use the concept of a fraction long before we ever formalize their knowledge in school. Watching little kids share a candy bar or a bottle of soda
Chapter 7. April 02, 2015
Chapter 7 7.1A Percentage of a Number Percentage: a rate, number, or amount in each hundred. 99%, 88%, 12% 1. Divide by 100. Move the decimal 2 spots to the left 2. Multiply 3. Does it make sense? 25%
Rational Number is a number that can be written as a quotient of two integers. DECIMALS are special fractions whose denominators are powers of 10.
PA Ch 5 Rational Expressions Rational Number is a number that can be written as a quotient of two integers. DECIMALS are special fractions whose denominators are powers of 0. Since decimals are special
Math Vocabulary Grades PK - 5
Math Vocabulary ades P - 5 P 1 2 3 4 5 < Symbol used to compare two numbers with the lesser number given first > Symbol used to compare two numbers with the greater number given first a. m. The time between
What is a tessellation???? Give an example... Daily Do from last class Homework Answers 10 7 These are similar: What does y =? x =?
Daily Do from last class Homework Answers 10 7 These are similar: What does y =? x =? 36 74 0 78 0 154 o 44 48 54 o y x 154 o 78 0 12 74 0 9 1. 8 ft 2. 21m 3. 21 ft 4. 30cm 5. 6mm 6. 16 in 7. yes 9 = 7
Lesson Polygons
Lesson 4.1 - Polygons Obj.: classify polygons by their sides. classify quadrilaterals by their attributes. find the sum of the angle measures in a polygon. Decagon - A polygon with ten sides. Dodecagon
Adding and Subtracting with Decimals
Adding and Subtracting with Decimals Before you can add or subtract numbers with decimals, all the decimal points must be lined up. (It will help if you use zeros to fill in places so that the numbers
Today s top story: Graphs, graphs, graphs! When and how to use them appropriately. For the appropriate scoop, let s go to Sally Newwwwwsworth!
Appropriate Graphs MA6611 Activity Introduction Today s top story: Graphs, graphs, graphs! When and how to use them appropriately. For the appropriate scoop, let s go to Sally Newwwwwsworth! Direct Instruction
Reason with shapes and their attributes.
Grade 3 Geometry and Perimeter SDadfa;sdklfjas;Unit Overview Reason with shapes and their attributes. 1. Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share
Unit 1 Lesson 13 Proving Theorems involving parallel and perp lines WITH ANSWERS!.notebook. Proofs involving Parallel lines
Unit 1 Lesson 13 Proofs involving Parallel lines We will need to recall the different postulates and Theorems involving Parallel lines... Can you name the following types of angles from the diagram below???
Mathematics Curriculum Objectives Year Six. Trinity Primary
Mathematics Curriculum Objectives Year Six Trinity Primary Counting Year 6 Number I can count backwards I can count backwards I can find the difference through zero to include through zero to include between
The Sweet Bees-ness of Honeycomb
The Sweet Bees-ness of Honeycomb Image: Wentzel, L. (2014), Musical Animals: Concertina Beehive. An idea for Ypsilanti s Honeybee Festival. Courtesy of Creative Commons. Accessed from https://www.flickr.com/photos/wentzelepsy/14507537589.
Guidelines for the Read Aloud Accommodation
1 Guidelines for the Read Aloud Accommodation The purpose of this document is to outline the guidelines for a test administrator who is providing the read aloud accommodation to a student during statewide
SMMG October 14 th, 2006 featuring Dr. Michael Starbird Circles, Rings, and Tractors: Clever Cleaving for Finding Formulas
SMMG October 14 th, 2006 featuring Dr. Michael Starbird Circles, Rings, and Tractors: Clever Cleaving for Finding Formulas 1. The Polygon Sweep a) On one of the colored pieces of construction paper you
Review Interior Angle Sum New: Exterior Angle Sum
Review Interior Angle Sum New: Exterior Angle Sum QUIZ: Prove that the diagonal connecting the vertex angles of a kite cut the kite into two congruent triangles. 1 Interior Angle Sum Formula: Some Problems
Objective: Combine shapes to create a composite shape; create a new shape from composite shapes.
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 6 2 8 Lesson 6 Objective: Combine shapes to create a composite shape; create a new shape Suggested Lesson Structure Fluency Practice Application Problem Concept
Fractions and their Equivalent Forms
Fractions Fractions and their Equivalent Forms Little kids use the concept of a fraction long before we ever formalize their knowledge in school. Watching little kids share a candy bar or a bottle of soda
4th Grade Math: State Standards, MPS Objectives and Essential Learnings
Grade Math: s, s and s MA 4.1 Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines. MA
Whole Numbers. Whole Numbers. Solutions. Curriculum Ready.
Whole Numbers Whole Numbers Solutions Curriulum Ready www.mathletis.om Page questions Plae values Write down the plae values for eah of these numbers a 6 b 60 Plae value of : 000 Plae value of : Plae
Pre-Algebra Notes Unit Five: Rational Numbers and Equations
Pre-Algebra Notes Unit Five: Rational Numbers and Equations Rational Numbers Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions, all the
4 th Grade CRCT Study Guide
4 th Grade CRCT Study Guide Numbers and Operations 43% millions Place Value Whole numbers Hundred thousands Ten thousands thousands hundreds tens ones 7, 5 2 3, 8 2 5 Seven million, five hundred twenty-three
3RD GRADE COMMON CORE VOCABULARY M-Z
o o o 3RD GRADE COMMON CORE VOCABULARY M-Z mass mass mass The amount of matter in an object. Usually measured by comparing with an object of known mass. While gravity influences weight, it does not affect
1 R1 Right. I mean to keep track. Um. I know that uh do you remember a few years ago um Dr. Davis was in and you were dealing with the Tower of Hanoi?
Page: 1 of 7 1 R1 Right. I mean to keep track. Um. I know that uh do you remember a few years ago um Dr. Davis was in and you were dealing with the Tower of Hanoi? 2 Stephanie Yes. 3 R1 That was you have
6 Polygons and. Quadrilaterals CHAPTER. Chapter Outline.
www.ck12.org CHAPTER 6 Polygons and Quadrilaterals Chapter Outline 6.1 ANGLES IN POLYGONS 6.2 PROPERTIES OF PARALLELOGRAMS 6.3 PROVING QUADRILATERALS ARE PARALLELOGRAMS 6.4 RECTANGLES, RHOMBUSES AND SQUARES
Answer Key. Easy Peasy All-In-One Homeschool
Answer Key Easy Peasy AllInOne Homeschool 00s Chart, Comparison Adding to 0 A. Fill in the missing numbers on the 00s chart puzzles. 7 7 9 9 D Shapes Money, Measurement A. Make the scales balance by filling
I can use number bonds and matching subtraction facts up to 20.
Year 1, Maths end of year expectations I can count to and past 100. Forwards and backwards starting from any number. I can count, read and write numbers to 100 in numerals and count in jumps of 2, 5 and
Pre-Algebra Notes Unit One: Rational Numbers and Decimal Expansions
Pre-Algebra Notes Unit One: Rational Numbers and Decimal Expansions Rational Numbers Rational numbers are numbers that can be written as a quotient of two integers. Since decimals are special fractions,
1.- DECIMAL PLACE VALUE: tenths, hundredths, thousandths. 1.1 Ordering decimals. 1.2 Rounding CALCULATIONS. 2.- ADDITION AND SUBTRACTION OF DECIMALS
1 1.- DECIMAL PLACE VALUE: tenths, hundredths, thousandths. 1.1 Ordering decimals. 1.2 Rounding CALCULATIONS. 2.- ADDITION AND SUBTRACTION OF DECIMALS 3.- MULTIPLICATION AND DIVISION. 3.1 Multiplication
Regular polygons and tessellations Criterion D: Reflection
Regular polygons and tessellations Criterion D: Reflection Aika Kim 12/13/2012 Math 9+ Assignment task: Our task in this project is to identify what a tessellation is, and what shapes do and don t. But
2nd Grade Math Standards Learning Targets
Standards Learning Target(s) Social Studies Skills MGSE2.NBT.1 Understand I can understand that the three digits of a three-digit Understand that the three digits of a number represent amounts of hundreds.
Name: Teacher: Form: LEARNER JOURNAL. Set: Mathematics. Module 2 END OF YEAR TARGET: GCSE TARGET:
Name: Teacher: Form: Set: LEARNER JOURNAL Mathematics Module 2 END OF YEAR TARGET: GCSE TARGET: MODULE 2 use a number line to represent negative numbers use inequalities with negative numbers compare and
Mini-Lecture 4.1 Introduction to Decimals
Mini-Lecture 4.1 Introduction to Decimals 1. Identify place value for a decimal number. 2. Write decimals in words.. Write decimals in standard form. 4. Write decimals as fractions. 5. Write a fraction
Chapter Review. In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning.
In the figure shown, m n and r is a transversal. If m 4 = 112, find the measure of each angle. Explain your reasoning. 1. 6 Since 4 and 6 are alternate interior angles, they are congruent. So, m 6 = 112.