14.2. Degrees. Example 1 Use fractional parts to find. Unlock the Problem. Math Talk. Essential Question. Name

Size: px
Start display at page:

Download "14.2. Degrees. Example 1 Use fractional parts to find. Unlock the Problem. Math Talk. Essential Question. Name"

Transcription

1 ? Name. Essential Question Degrees How are degrees related to fractional parts of a circle? Geometry and Measurement.7.B Also.7.A MATHEMATICAL PROCESSES..A,..F,..G Connect You can use what you know about angles and fractional parts of a circle to understand angle measurement. Angles are measured in units called degrees. Think of a circle divided into equal parts. An angle that cuts out of the circle measures degree( ). Math Idea An angle that cuts n out of a circle measures n degrees. Unlock the Problem The angle between two spokes on the bicycle wheel cuts out or turns through 0 of a circle. What is the measure of the angle between the spokes? What part of an angle does a spoke represent? Example Use fractional parts to find the angle measure. Each turn measures _ degree. Ten turns measure _ degrees. So, the measure of the angle between the spokes is _. Math Talk Mathematical Processes How many degrees is the measure of an angle that turns through whole circle? Explain. Module

2 Example Find the measure of a right angle. right angle symbol Think: What fraction of a circle does a right angle cut out? _ STEP Write _ as an equivalent fraction with in the denominator. = STEP Write 0 in degrees. Think: = 6, so _ =. An angle that cuts out of a circle measures _. An angle that cuts 0 out of a circle measures _. Remember To write an equivalent fraction, multiply the numerator and denominator by the same factor. So, a right angle measures _. Share and Show. Find the measure of the angle. What fraction of the circle does the angle cut out? = Think: = 6, so _ =. So, the measure of the angle is _. Tell the measure of the angle in degrees... _ Math Talk Mathematical Processes If an angle measures 60º, what fraction of a circle does it cut out? Explain. _

3 Name Unlock the Problem. Multi-Step Ava started reading at :0 p.m. She stopped for a snack at :0 p.m. During this time, through what fraction of a circle did the minute hand turn? How many degrees did the minute hand turn? 0 0 a. What are you asked to find? b. What information can you use to find the fraction of a circle through which the minute hand turned? c. How can you use the fraction of a circle through which the minute hand turned to find how many degrees it turned? d. Show how to solve the problem. e. Complete the sentences. = From :0 p.m. to :0 p.m., the minute hand made a _ turn clockwise. The minute hand turned _ degrees.. Write Math Is this angle measure obtuse? Explain. 6. Analyze What fraction of a circle does a straight angle cut out? What is the measure of a straight angle? Explain. Module Lesson

4 Daily Assessment Task Mathematical Processes Fill in the bubble completely to show your answer. 7. What is the measure of the angle in degrees? A 0 B C D 0 0. Use Mathematical Language What type of angle is shown? A right C acute B obtuse D straight. Multi-Step A circle is divided into equal sections. An angle measures the same as the total measure of of the sections. What is the measure of the angle? A 70 C B 0 D 6 0. How many degrees are in an angle that cuts _ of a circle? A 0 º B 0 º C 70 º D º

5 Homework and Practice Name Geometry and Measurement.7.B MATHEMATICAL PROCESSES..A,..F,..G. Degrees. Find the measure of the angle. What fraction of the circle does the angle cut out? = So, the measure of the angle is _. Tell the measure of the angle in degrees Problem Solving. At 6:0 p.m., Elena left her house to walk to Claire s house. She arrived at 6: p.m. During this time, through what fraction of a circle did the minute hand turn? 0 0. How many degrees did the minute hand turn as it moved from to? 6. Suppose Elena takes a route that is minutes longer. How would this change your answers to exercises and? Explain. Module Lesson 7

6 Lesson Check TEXAS Test Prep Fill in the bubble completely to show your answer. 7. Which type of angle is shown?. What is the measure of the angle in degrees? 0 A B C D acute straight obtuse right A B 7 C D 0. How many degrees are in an angle that cuts _ of a circle? A B 0 C 0 D 0 0. What is the measure of the angle in degrees? A 0 B 0. Multi-Step Alex cut a pizza into equal slices. He removed of the slices of pizza. What is the measure of the angle made by the missing slices of pizza? A B 0 C 0 D 0 C D. Multi-Step Julia woke up at 7:0 a.m. She left for school at 7: a.m. How many degrees did the minute hand on the clock turn from the time Julia woke up to the time she left for school? A 0 B 60 C 0 D 0

13.1 Lines, Rays, and Angles

13.1 Lines, Rays, and Angles ? Name Geometry and Measurement 4.6. 13.1 Lines, Rays, and ngles Essential Question How can you identify and draw points, lines, line segments, rays, and angles? MHEMIL PROEE 4.1., 4.1.E Unlock the Problem

More information

Autumn - 12 Weeks. Spring 11 Weeks. Summer 12 Weeks. Not As We Know It Limited 2014

Autumn - 12 Weeks. Spring 11 Weeks. Summer 12 Weeks. Not As We Know It Limited 2014 A Year 5 Mathematician Planning of coverage and resources. Autumn - 12 Weeks Spring 11 Weeks Summer 12 Weeks TARGETS NHM YR 5 Collins 5 Abacus 5 Abacus 6 LA Prior Step NHM 4 CPM 4 Ginn 4 Number, place

More information

Circumference of a Circle

Circumference of a Circle Circumference of a Circle A circle is a shape with all points the same distance from the center. It is named by the center. The circle to the left is called circle A since the center is at point A. If

More information

Minnesota Academic Standards

Minnesota Academic Standards A Correlation of to the Minnesota Academic Standards Grades K-6 G/M-204 Introduction This document demonstrates the high degree of success students will achieve when using Scott Foresman Addison Wesley

More information

3.1. Angle Pairs. What s Your Angle? Angle Pairs. ACTIVITY 3.1 Investigative. Activity Focus Measuring angles Angle pairs

3.1. Angle Pairs. What s Your Angle? Angle Pairs. ACTIVITY 3.1 Investigative. Activity Focus Measuring angles Angle pairs SUGGESTED LEARNING STRATEGIES: Think/Pair/Share, Use Manipulatives Two rays with a common endpoint form an angle. The common endpoint is called the vertex. You can use a protractor to draw and measure

More information

Charlesworth School Year Group Maths Targets

Charlesworth School Year Group Maths Targets Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve

More information

Rational Number Project

Rational Number Project Rational Number Project Fraction Operations and Initial Decimal Ideas Lesson 2: Overview Students review equivalence ideas with paper folding. Students develop a symbolic rule for finding equivalent fractions.

More information

INTRODUCTION TO FRACTIONS

INTRODUCTION TO FRACTIONS Tallahassee Community College 16 INTRODUCTION TO FRACTIONS Figure A (Use for 1 5) 1. How many parts are there in this circle?. How many parts of the circle are shaded?. What fractional part of the circle

More information

Lesson 21. Circles. Objectives

Lesson 21. Circles. Objectives Student Name: Date: Contact Person Name: Phone Number: Lesson 1 Circles Objectives Understand the concepts of radius and diameter Determine the circumference of a circle, given the diameter or radius Determine

More information

What s Your Angle? (Measurement)

What s Your Angle? (Measurement) The Middle School Math Project What s Your Angle? (Measurement) Objective Using inductive reasoning, students will devise procedures for using a protractor to measure the number of degrees in an angle.

More information

Solving Rational Equations

Solving Rational Equations Lesson M Lesson : Student Outcomes Students solve rational equations, monitoring for the creation of extraneous solutions. Lesson Notes In the preceding lessons, students learned to add, subtract, multiply,

More information

How To Learn To Understand And Understand The Math Of The Year

How To Learn To Understand And Understand The Math Of The Year Year R Maths Objectives In order to meet the Early Learning Goals at the end of Year R children must be able to: Numbers Count reliably with numbers from -0, place them in order and say which number is

More information

ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers Basic Math 1.2 - The Number Line Basic Math 1.3 - Addition of Whole Numbers, Part I

ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers Basic Math 1.2 - The Number Line Basic Math 1.3 - Addition of Whole Numbers, Part I ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers 1) Read whole numbers. 2) Write whole numbers in words. 3) Change whole numbers stated in words into decimal numeral form. 4) Write numerals in

More information

Activity 1 Find lines of symmetry.

Activity 1 Find lines of symmetry. Name Find and Draw Lines of Symmetry Essential Question How do you find lines of symmetry? Lesson 10.6 Geometry 4.G.A.3 MATHEMATICAL PRACTICES MP1, MP7, MP8 Unlock the Problem How many lines of symmetry

More information

Assessment Anchors and Eligible Content

Assessment Anchors and Eligible Content M07.A-N The Number System M07.A-N.1 M07.A-N.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings

More information

Mathematics. Steps to Success. and. Top Tips. Year 5

Mathematics. Steps to Success. and. Top Tips. Year 5 Pownall Green Primary School Mathematics and Year 5 1 Contents Page 1. Multiplication and Division 3 2. Positive and Negative Numbers 4 3. Decimal Notation 4. Reading Decimals 5 5. Fractions Linked to

More information

parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE THREE

parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE THREE TM parent ROADMAP MATHEMATICS SUPPORTING YOUR CHILD IN GRADE THREE 3 America s schools are working to provide higher quality instruction than ever before. The way we taught students in the past simply

More information

15.6. Metric Units of Length. Investigate. Materials ruler (meter) scissors tape. A. Cut out the meterstick strips.

15.6. Metric Units of Length. Investigate. Materials ruler (meter) scissors tape. A. Cut out the meterstick strips. Name 15.6? Essential Question Metric Units of Length How can you convert metric units of length? Geometry and Measurement 4.8., 4.8. lso 4.8. MTHEMTIL PROESSES 4.1., 4.1., 4.1.F Investigate Materials ruler

More information

Objective To guide the development and use of a rule for generating equivalent fractions. Family Letters. Assessment Management

Objective To guide the development and use of a rule for generating equivalent fractions. Family Letters. Assessment Management Equivalent Fractions Objective To guide the development and use of a rule for generating equivalent fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

More information

Front End Alignment Toe-In / Toe-Out. Lesson 13

Front End Alignment Toe-In / Toe-Out. Lesson 13 Front End Alignment Toe-In / Toe-Out Lesson 13 Remember: Pretty Please My Dear Aunt Sally (From left to right; Parentheses; Power; Multiply; Divide; Add, Subtract) Today, we re just going to move from

More information

10.2 45-45 -90 Triangles

10.2 45-45 -90 Triangles Page of 6 0. --0 Triangles Goal Find the side lengths of --0 triangles. Key Words --0 triangle isosceles triangle p. 7 leg of a right triangle p. hypotenuse p. Geo-Activity Eploring an Isosceles Right

More information

7 th Grade Math Foundations for Teaching Unit One: Numbers & Operations Module One: Rational Number s

7 th Grade Math Foundations for Teaching Unit One: Numbers & Operations Module One: Rational Number s Unit One: Numbers & Operations Module One: s Day/Date TEKS Activities and Resources Essential Question Aug 25 Aug 26 Aug 27 Aug 28 Aug 29 (SS) (SS) (SS) (SS) - First Day Procedures - Math Class Student

More information

Grade 3 Core Standard III Assessment

Grade 3 Core Standard III Assessment Grade 3 Core Standard III Assessment Geometry and Measurement Name: Date: 3.3.1 Identify right angles in two-dimensional shapes and determine if angles are greater than or less than a right angle (obtuse

More information

BPS Math Year at a Glance (Adapted from A Story Of Units Curriculum Maps in Mathematics K-5) 1

BPS Math Year at a Glance (Adapted from A Story Of Units Curriculum Maps in Mathematics K-5) 1 Grade 4 Key Areas of Focus for Grades 3-5: Multiplication and division of whole numbers and fractions-concepts, skills and problem solving Expected Fluency: Add and subtract within 1,000,000 Module M1:

More information

How to Calculate Compression Ratio in a Single Cylinder. Lesson 9

How to Calculate Compression Ratio in a Single Cylinder. Lesson 9 How to Calculate Compression Ratio in a Single Cylinder Lesson 9 Remember: Pretty Please My Dear Aunt Sally (From left to right; Parentheses; Power; Multiply; Divide; Add, Subtract) This lesson is set

More information

Dirt Bike Comparing Fractions http://www.arcademicskillbuilders.com/games/dirt-bike-comparing-fractions/dirtbike-comparing-fractions.

Dirt Bike Comparing Fractions http://www.arcademicskillbuilders.com/games/dirt-bike-comparing-fractions/dirtbike-comparing-fractions. Reporting Category: Number and Number Sense Number of Items: 7 5.1 The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth. Place Value Puzzler www.funbrain.com/tens

More information

+ = has become. has become. Maths in School. Fraction Calculations in School. by Kate Robinson

+ = has become. has become. Maths in School. Fraction Calculations in School. by Kate Robinson + has become 0 Maths in School has become 0 Fraction Calculations in School by Kate Robinson Fractions Calculations in School Contents Introduction p. Simplifying fractions (cancelling down) p. Adding

More information

What are the advantages and disadvantages of different savings options?

What are the advantages and disadvantages of different savings options? ? Name 18.3 Essential Question Savings Options What are the advantages and disadvantages of different savings options? Personal Financial Literacy 4.10. lso 4.4. MTHEMTIL PROESSES 4.1., 4.1.F People save

More information

Fourth Grade Math Standards and "I Can Statements"

Fourth Grade Math Standards and I Can Statements Fourth Grade Math Standards and "I Can Statements" Standard - CC.4.OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and

More information

Practicing for the. TerraNova. Success on Standardized Tests for TerraNova Grade 2 3. McGraw-Hill School Division

Practicing for the. TerraNova. Success on Standardized Tests for TerraNova Grade 2 3. McGraw-Hill School Division Practicing for the TerraNova Success on Standardized Tests for TerraNova Grade 2 3 How can this booklet help? A note to families In the booklet you hold now, there is a practice version of the TerraNova.

More information

Lesson 1 Section 2.5 Angle Relationships

Lesson 1 Section 2.5 Angle Relationships Creator: Heather McNeill Grade: 10 th grade Course: Geometry Honors Length: 50 minutes Lesson 1 Section 2.5 Angle Relationships 1. Prior Knowledge, Skills, and Dispositions: In this lesson, students should

More information

Measuring Angles. Grade Band: 3-5. Lesson Length: Approximately 2 days

Measuring Angles. Grade Band: 3-5. Lesson Length: Approximately 2 days Measuring rade Band: 3-5 Lesson Length: Approximately 2 days NCTM Standard and Expectation eometry Standard 1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and

More information

Accuplacer Arithmetic Study Guide

Accuplacer Arithmetic Study Guide Accuplacer Arithmetic Study Guide Section One: Terms Numerator: The number on top of a fraction which tells how many parts you have. Denominator: The number on the bottom of a fraction which tells how

More information

Unit 9. Unit 10. Unit 11. Unit 12. Introduction Busy Ant Maths Year 2 Medium-Term Plans. Number - Geometry - Position & direction

Unit 9. Unit 10. Unit 11. Unit 12. Introduction Busy Ant Maths Year 2 Medium-Term Plans. Number - Geometry - Position & direction Busy Ant Maths Year Medium-Term Plans Unit 9 Geometry - Position & direction Unit 0 ( Temperature) Unit Statistics Unit Fractions (time) 8 Busy Ant Maths Year Medium-Term Plans Introduction Unit Geometry

More information

Black Problems - Prime Factorization, Greatest Common Factor and Simplifying Fractions

Black Problems - Prime Factorization, Greatest Common Factor and Simplifying Fractions Black Problems Prime Factorization, Greatest Common Factor and Simplifying Fractions A natural number n, such that n >, can t be written as the sum of two more consecutive odd numbers if and only if n

More information

Lesson 17. Introduction to Geometry. Objectives

Lesson 17. Introduction to Geometry. Objectives Student Name: Date: Contact Person Name: Phone Number: Lesson 17 Introduction to Geometry Objectives Understand the definitions of points, lines, rays, line segments Classify angles and certain relationships

More information

Mathematics. What to expect Resources Study Strategies Helpful Preparation Tips Problem Solving Strategies and Hints Test taking strategies

Mathematics. What to expect Resources Study Strategies Helpful Preparation Tips Problem Solving Strategies and Hints Test taking strategies Mathematics Before reading this section, make sure you have read the appropriate description of the mathematics section test (computerized or paper) to understand what is expected of you in the mathematics

More information

NCTM Curriculum Focal Points for Grade 5. Everyday Mathematics, Grade 5

NCTM Curriculum Focal Points for Grade 5. Everyday Mathematics, Grade 5 NCTM Curriculum Focal Points and, Grade 5 NCTM Curriculum Focal Points for Grade 5 Number and Operations and Algebra: Developing an understanding of and fluency with division of whole numbers Students

More information

The program also provides supplemental modules on topics in geometry and probability and statistics.

The program also provides supplemental modules on topics in geometry and probability and statistics. Algebra 1 Course Overview Students develop algebraic fluency by learning the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. Students

More information

Mathematics 31 Pre-calculus and Limits

Mathematics 31 Pre-calculus and Limits Mathematics 31 Pre-calculus and Limits Overview After completing this section, students will be epected to have acquired reliability and fluency in the algebraic skills of factoring, operations with radicals

More information

Possible Stage Two Mathematics Test Topics

Possible Stage Two Mathematics Test Topics Possible Stage Two Mathematics Test Topics The Stage Two Mathematics Test questions are designed to be answerable by a good problem-solver with a strong mathematics background. It is based mainly on material

More information

Progress Check 6. Objective To assess students progress on mathematical content through the end of Unit 6. Looking Back: Cumulative Assessment

Progress Check 6. Objective To assess students progress on mathematical content through the end of Unit 6. Looking Back: Cumulative Assessment Progress Check 6 Objective To assess students progress on mathematical content through the end of Unit 6. Looking Back: Cumulative Assessment The Mid-Year Assessment in the Assessment Handbook is a written

More information

Scaffolding Task: Angle Tangle

Scaffolding Task: Angle Tangle Fourth Grade Mathematics Unit Scaffolding Task: Angle Tangle STANDARDS FOR MATHEMATICAL CONTENT MCC4.MD.5. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint,

More information

Review of Basic Fraction Concepts

Review of Basic Fraction Concepts Review of asic Fraction Concepts Objective To review fractions as parts of a whole (ONE), fractions on number lines, and uses of fractions. www.everydaymathonline.com epresentations etoolkit lgorithms

More information

Algebra Geometry Glossary. 90 angle

Algebra Geometry Glossary. 90 angle lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:

More information

This is a tentative schedule, date may change. Please be sure to write down homework assignments daily.

This is a tentative schedule, date may change. Please be sure to write down homework assignments daily. Mon Tue Wed Thu Fri Aug 26 Aug 27 Aug 28 Aug 29 Aug 30 Introductions, Expectations, Course Outline and Carnegie Review summer packet Topic: (1-1) Points, Lines, & Planes Topic: (1-2) Segment Measure Quiz

More information

Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced

More information

Review: Comparing Fractions Objectives To review the use of equivalent fractions

Review: Comparing Fractions Objectives To review the use of equivalent fractions Review: Comparing Fractions Objectives To review the use of equivalent fractions in comparisons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

More information

Objectives After completing this section, you should be able to:

Objectives After completing this section, you should be able to: Chapter 5 Section 1 Lesson Angle Measure Objectives After completing this section, you should be able to: Use the most common conventions to position and measure angles on the plane. Demonstrate an understanding

More information

Multiplication and Division of Positive and Negative Numbers

Multiplication and Division of Positive and Negative Numbers Multiplication and Division of Positive Objective o develop and apply rules for multiplying and dividing positive and www.everydaymathonline.com epresentations eoolkit Algorithms Practice EM Facts Workshop

More information

Primary Curriculum 2014

Primary Curriculum 2014 Primary Curriculum 2014 Suggested Key Objectives for Mathematics at Key Stages 1 and 2 Year 1 Maths Key Objectives Taken from the National Curriculum 1 Count to and across 100, forwards and backwards,

More information

My Year 1 Maths Targets

My Year 1 Maths Targets My Year 1 Maths Targets Number number and place value I can count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number. I can count in multiples of twos, fives and

More information

MATHS LEVEL DESCRIPTORS

MATHS LEVEL DESCRIPTORS MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and

More information

Part 1 Expressions, Equations, and Inequalities: Simplifying and Solving

Part 1 Expressions, Equations, and Inequalities: Simplifying and Solving Section 7 Algebraic Manipulations and Solving Part 1 Expressions, Equations, and Inequalities: Simplifying and Solving Before launching into the mathematics, let s take a moment to talk about the words

More information

PERCENTS. Percent means per hundred. Writing a number as a percent is a way of comparing the number with 100. For example: 42% =

PERCENTS. Percent means per hundred. Writing a number as a percent is a way of comparing the number with 100. For example: 42% = PERCENTS Percent means per hundred. Writing a number as a percent is a way of comparing the number with 100. For example: 42% = Percents are really fractions (or ratios) with a denominator of 100. Any

More information

Numerical and Algebraic Fractions

Numerical and Algebraic Fractions Numerical and Algebraic Fractions Aquinas Maths Department Preparation for AS Maths This unit covers numerical and algebraic fractions. In A level, solutions often involve fractions and one of the Core

More information

Dimensional Analysis

Dimensional Analysis Dimensional Analysis Today you ll learn about Dimensional Analysis You will be able to use unit analysis to help convert units you are not used to using. By the end of the lesson, you will: Use dimensional

More information

Mathematics Scope and Sequence, K-8

Mathematics Scope and Sequence, K-8 Standard 1: Number and Operation Goal 1.1: Understands and uses numbers (number sense) Mathematics Scope and Sequence, K-8 Grade Counting Read, Write, Order, Compare Place Value Money Number Theory K Count

More information

Introduction Read aloud Pizza Fractions by Jerry Pallotta to give students a visual representation of fractions.

Introduction Read aloud Pizza Fractions by Jerry Pallotta to give students a visual representation of fractions. 3rd th Grade Objective CCSS Math/Number and Operations-Fractions:.NF. Extend understanding of fraction equivalence and ordering.. Compare two fractions with different numerators and different denominators

More information

Geometry and Measurement

Geometry and Measurement The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for

More information

Multiplying Fractions

Multiplying Fractions . Multiplying Fractions. OBJECTIVES 1. Multiply two fractions. Multiply two mixed numbers. Simplify before multiplying fractions 4. Estimate products by rounding Multiplication is the easiest of the four

More information

Free Pre-Algebra Lesson 55! page 1

Free Pre-Algebra Lesson 55! page 1 Free Pre-Algebra Lesson 55! page 1 Lesson 55 Perimeter Problems with Related Variables Take your skill at word problems to a new level in this section. All the problems are the same type, so that you can

More information

Day One: Least Common Multiple

Day One: Least Common Multiple Grade Level/Course: 5 th /6 th Grade Math Lesson/Unit Plan Name: Using Prime Factors to find LCM and GCF. Rationale/Lesson Abstract: The objective of this two- part lesson is to give students a clear understanding

More information

Vector Fields and Line Integrals

Vector Fields and Line Integrals Vector Fields and Line Integrals 1. Match the following vector fields on R 2 with their plots. (a) F (, ), 1. Solution. An vector, 1 points up, and the onl plot that matches this is (III). (b) F (, ) 1,.

More information

Unit 1 - Radian and Degree Measure Classwork

Unit 1 - Radian and Degree Measure Classwork Unit 1 - Radian and Degree Measure Classwork Definitions to know: Trigonometry triangle measurement Initial side, terminal side - starting and ending Position of the ray Standard position origin if the

More information

Everyday Mathematics. Grade 4 Grade-Level Goals CCSS EDITION. Content Strand: Number and Numeration. Program Goal Content Thread Grade-Level Goal

Everyday Mathematics. Grade 4 Grade-Level Goals CCSS EDITION. Content Strand: Number and Numeration. Program Goal Content Thread Grade-Level Goal Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

More information

The Half-Circle Protractor

The Half-Circle Protractor The Half-ircle Protractor Objectives To guide students as they classify angles as acute, right, obtuse, straight, and reflex; and to provide practice using a half-circle protractor to measure and draw

More information

Numerator Denominator

Numerator Denominator Fractions A fraction is any part of a group, number or whole. Fractions are always written as Numerator Denominator A unitary fraction is one where the numerator is always 1 e.g 1 1 1 1 1...etc... 2 3

More information

Everyday Mathematics. Grade 4 Grade-Level Goals. 3rd Edition. Content Strand: Number and Numeration. Program Goal Content Thread Grade-Level Goals

Everyday Mathematics. Grade 4 Grade-Level Goals. 3rd Edition. Content Strand: Number and Numeration. Program Goal Content Thread Grade-Level Goals Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

More information

Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975. Consumer Math

Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975. Consumer Math Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975 Consumer Math Consumer Math ENROLLED STUDENTS ONLY This course is designed for the student who is challenged by abstract forms of higher This math. course

More information

ISAT Mathematics Performance Definitions Grade 4

ISAT Mathematics Performance Definitions Grade 4 ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourth-grade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers

More information

Angles and Quadrants. Angle Relationships and Degree Measurement. Chapter 7: Trigonometry

Angles and Quadrants. Angle Relationships and Degree Measurement. Chapter 7: Trigonometry Chapter 7: Trigonometry Trigonometry is the study of angles and how they can be used as a means of indirect measurement, that is, the measurement of a distance where it is not practical or even possible

More information

Lesson Plan -- Rational Number Operations

Lesson Plan -- Rational Number Operations Lesson Plan -- Rational Number Operations Chapter Resources - Lesson 3-12 Rational Number Operations - Lesson 3-12 Rational Number Operations Answers - Lesson 3-13 Take Rational Numbers to Whole-Number

More information

Math Journal HMH Mega Math. itools Number

Math Journal HMH Mega Math. itools Number Lesson 1.1 Algebra Number Patterns CC.3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. Identify and

More information

Section 6.1 Angle Measure

Section 6.1 Angle Measure Section 6.1 Angle Measure An angle AOB consists of two rays R 1 and R 2 with a common vertex O (see the Figures below. We often interpret an angle as a rotation of the ray R 1 onto R 2. In this case, R

More information

Sunny Hills Math Club Decimal Numbers Lesson 4

Sunny Hills Math Club Decimal Numbers Lesson 4 Are you tired of finding common denominators to add fractions? Are you tired of converting mixed fractions into improper fractions, just to multiply and convert them back? Are you tired of reducing fractions

More information

Fractions. If the top and bottom numbers of a fraction are the same then you have a whole one.

Fractions. If the top and bottom numbers of a fraction are the same then you have a whole one. What do fractions mean? Fractions Academic Skills Advice Look at the bottom of the fraction first this tells you how many pieces the shape (or number) has been cut into. Then look at the top of the fraction

More information

Accentuate the Negative: Homework Examples from ACE

Accentuate the Negative: Homework Examples from ACE Accentuate the Negative: Homework Examples from ACE Investigation 1: Extending the Number System, ACE #6, 7, 12-15, 47, 49-52 Investigation 2: Adding and Subtracting Rational Numbers, ACE 18-22, 38(a),

More information

Basic Understandings

Basic Understandings Activity: TEKS: Exploring Transformations Basic understandings. (5) Tools for geometric thinking. Techniques for working with spatial figures and their properties are essential to understanding underlying

More information

No Solution Equations Let s look at the following equation: 2 +3=2 +7

No Solution Equations Let s look at the following equation: 2 +3=2 +7 5.4 Solving Equations with Infinite or No Solutions So far we have looked at equations where there is exactly one solution. It is possible to have more than solution in other types of equations that are

More information

Math - 5th Grade. two digit by one digit multiplication fact families subtraction with regrouping

Math - 5th Grade. two digit by one digit multiplication fact families subtraction with regrouping Number and Operations Understand division of whole numbers N.MR.05.01 N.MR.05.02 N.MR.05.03 Understand the meaning of division of whole numbers with and without remainders; relate division to and to repeated

More information

Prentice Hall: Middle School Math, Course 1 2002 Correlated to: New York Mathematics Learning Standards (Intermediate)

Prentice Hall: Middle School Math, Course 1 2002 Correlated to: New York Mathematics Learning Standards (Intermediate) New York Mathematics Learning Standards (Intermediate) Mathematical Reasoning Key Idea: Students use MATHEMATICAL REASONING to analyze mathematical situations, make conjectures, gather evidence, and construct

More information

PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION ELEMENTARY MATH GRADE 2 MATH IN FOCUS

PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION ELEMENTARY MATH GRADE 2 MATH IN FOCUS PUBLIC SCHOOLS OF EDISON TOWNSHIP DIVISION OF CURRICULUM AND INSTRUCTION ELEMENTARY MATH GRADE 2 MATH IN FOCUS Length of Course: Term Elective / Required: Required Schools: Elementary Student Eligibility:

More information

School starts at nine o clock. Contents. Language Analysis

School starts at nine o clock. Contents. Language Analysis Year 3 Lesson 22 School starts at nine o clock. Grammar & Functions Aims Talking about daily routine Talking about what time routine activities start What time does school start? At nine o'clock. Contents

More information

1 ST GRADE COMMON CORE STANDARDS FOR SAXON MATH

1 ST GRADE COMMON CORE STANDARDS FOR SAXON MATH 1 ST GRADE COMMON CORE STANDARDS FOR SAXON MATH Calendar The following tables show the CCSS focus of The Meeting activities, which appear at the beginning of each numbered lesson and are taught daily,

More information

Problem of the Month: Once Upon a Time

Problem of the Month: Once Upon a Time Problem of the Month: The Problems of the Month (POM) are used in a variety of ways to promote problem solving and to foster the first standard of mathematical practice from the Common Core State Standards:

More information

-- Martensdale-St. Marys Community School Math Curriculum

-- Martensdale-St. Marys Community School Math Curriculum -- Martensdale-St. Marys Community School Standard 1: Students can understand and apply a variety of math concepts. Benchmark; The student will: A. Understand and apply number properties and operations.

More information

Everybody Wins! A Lesson for Third Graders

Everybody Wins! A Lesson for Third Graders Everybody Wins! A Lesson for Third Graders by Maryann Wickett and Marilyn Burns From Online Newsletter Issue Number 9, Spring 2003 This excerpt is from the introductory lesson in Maryann Wickett, Susan

More information

EVERY DAY COUNTS CALENDAR MATH 2005 correlated to

EVERY DAY COUNTS CALENDAR MATH 2005 correlated to EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:

More information

Geometry Progress Ladder

Geometry Progress Ladder Geometry Progress Ladder Maths Makes Sense Foundation End-of-year objectives page 2 Maths Makes Sense 1 2 End-of-block objectives page 3 Maths Makes Sense 3 4 End-of-block objectives page 4 Maths Makes

More information

Grade 2 Level. Math Common Core Sampler Test

Grade 2 Level. Math Common Core Sampler Test Grade 2 Level Math Common Core Sampler Test Everyone we come in contact with is scrambling to get their hands on example questions for this grade level. This test sampler is put together to give you an

More information

Adding and Subtracting Fractions. 1. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into.

Adding and Subtracting Fractions. 1. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into. Tallahassee Community College Adding and Subtracting Fractions Important Ideas:. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into.. The numerator

More information

From the Webisode: Math Meets Fashion

From the Webisode: Math Meets Fashion lesson CCSS CONNECTIONS Percent Markups From the Webisode: Math Meets Fashion In this lesson, s solve a multi-step problem by identifying percent markups of a whole and calculating a final sale price.

More information

Florida Math 0018. Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower

Florida Math 0018. Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower Florida Math 0018 Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies - Lower Whole Numbers MDECL1: Perform operations on whole numbers (with applications, including

More information

Solution Guide Chapter 14 Mixing Fractions, Decimals, and Percents Together

Solution Guide Chapter 14 Mixing Fractions, Decimals, and Percents Together Solution Guide Chapter 4 Mixing Fractions, Decimals, and Percents Together Doing the Math from p. 80 2. 0.72 9 =? 0.08 To change it to decimal, we can tip it over and divide: 9 0.72 To make 0.72 into a

More information

HFCC Math Lab Arithmetic - 4. Addition, Subtraction, Multiplication and Division of Mixed Numbers

HFCC Math Lab Arithmetic - 4. Addition, Subtraction, Multiplication and Division of Mixed Numbers HFCC Math Lab Arithmetic - Addition, Subtraction, Multiplication and Division of Mixed Numbers Part I: Addition and Subtraction of Mixed Numbers There are two ways of adding and subtracting mixed numbers.

More information

Warm-Up. Today s Objective/Standards: Students will use the correct order of operations to evaluate algebraic expressions/ Gr. 6 AF 1.

Warm-Up. Today s Objective/Standards: Students will use the correct order of operations to evaluate algebraic expressions/ Gr. 6 AF 1. Warm-Up CST/CAHSEE: Gr. 6 AF 1.4 Simplify: 8 + 8 2 + 2 A) 4 B) 8 C) 10 D) 14 Review: Gr. 7 NS 1.2 Complete the statement using ,. Explain. 2 5 5 2 How did students get the other answers? Other: Gr.

More information

Consultant: Lynn T. Havens. Director of Project CRISS Kalispell, Montana

Consultant: Lynn T. Havens. Director of Project CRISS Kalispell, Montana Teacher Annotated Edition Study Notebook Consultant: Lynn T. Havens SM Director of Project CRISS Kalispell, Montana i_sn_c1fmtwe_893629.indd i 3/16/09 9:17:03 PM Copyright by The McGraw-Hill Companies,

More information

angle attribute Figure 1 4 right angles opposite sides parallel Lesson 14 5 Lesson 14 4 Vocab

angle attribute Figure 1 4 right angles opposite sides parallel Lesson 14 5 Lesson 14 4 Vocab Vocab angle attribute 006_055_G4_VisV_101741.indd Page F46 2/13/10 11:27:36 PM u-s014 /Volumes/114/GO00403/GO00403_Natl_Visual_Voca_Cards_G4%0 Figure 1 4 right angles opposite sides parallel endpoint hexagon

More information

Old dominion university admission essay. Tips on how to write an amazing scholarship essay about yourself and then. 13092006 1.

Old dominion university admission essay. Tips on how to write an amazing scholarship essay about yourself and then. 13092006 1. Old dominion university admission essay. Tips on how to write an amazing scholarship essay about yourself and then. 13092006 1. Old dominion university admission essay >>>CLICK HERE

More information