Work with a partner. Write an integer that represents the elevation of each object. How far is each object from sea level? Explain your reasoning.
|
|
|
- Norman Parker
- 5 years ago
- Views:
Transcription
1 6.4 Absolute Value from sea level? How can you describe how far an object is ACTIVITY: Sea Level Work with a partner. Write an integer that represents the elevation of each object. How far is each object from sea level? Explain your reasoning. a. Boeing meters 4000 meters 000 meters b. Seaplane 000 meters 000 meters c. Bald eagle d. Leatherback turtle e. U.S.S. Dolphin f. Whale 0 meters 000 meters 000 meters 000 meters Absolute Value In this lesson, you will find the absolute value of numbers. use absolute value to compare numbers in real-life situations. g. Jason Jr. h. Alvin i. Kaiko 4000 meters 5000 meters 6000 meters 7000 meters 8000 meters 68 Chapter 6 Integers and the Coordinate Plane
2 ACTIVITY: Finding a Distance Work with a partner. Use the diagram in Activity. a. What integer represents sea level? b. The vessel Kaiko ascends to the same depth as the U.S.S. Dolphin. About how many meters did Kaiko travel? Explain how you found your answer. c. The vessel Jason Jr. descends to the same depth as the Alvin. About how many meters did Jason Jr. travel? Explain how you found your answer. d. REASONING Which pairs of objects are the same distance from sea level? How do you know? e. REASONING An airplane is the same distance from sea level as the Kaiko. How far is the airplane from sea level? ACTIVITY: Oceanography Project Math Practice Use Technology to Explore How can you find more information on oceanography? What information is useful to your report? Work with a partner. Use the Internet or some other resource to write a report that describes two ways in which mathematics is used in oceanography. Here are two possible ideas. You can use one or both of these, or you can use other ideas. Diving Bell Mine Neutralization Vehicle 4. IN YOUR OWN WORDS How can you describe how far an object is from sea level? 5. PRECISION In Activity, an object has an elevation of 7500 meters. Is 7500 greater than or less than 7000? Does this object have a depth greater than or less than 7000 meters? Explain your reasoning. Use what you learned about elevation and sea level to complete Exercises 4 6 on page 7. Section 6.4 Absolute Value 69
3 6.4 Lesson Lesson Tutorials Key Vocabulary absolute value, p. 70 Absolute Value Words The absolute value of a number is the distance between the number and 0 on a number line. The absolute value of a number a is written as a. Numbers = = units units 0 EXAMPLE Finding Absolute Value a. Find the absolute value of. Graph on a number line So, =. b. Find the absolute value of. The distance between and 0 is. Graph on a number line. 4 0 So, =. The distance between and 0 is. Exercises 7 4 Find the absolute value Chapter 6 Integers and the Coordinate Plane
4 EXAMPLE Comparing Values Compare and 5. Graph on a number line. Graph 5 5 on a number line So, < 5. is to the left of 5. Exercises 7 Copy and complete the statement using <, >, or = EXAMPLE Real-Life Application Animal Elevation (ft) Shark 4 Sea lion 5 Seagull 56 Shrimp 65 Turtle The table shows the elevations of several animals. a. Which animal is the deepest? Explain. Graph each elevation. The lowest elevation represents the animal that is the deepest. The integer that is lowest on the number line is 65. So, the shrimp is the deepest. b. Is the shark or the sea lion closer to sea level? Because sea level is at 0 feet, use absolute values Seagull: 56 Sea lion: 5 Shark: 4 Turtle: Shark: 4 = 4 Sea lion: 5 = 5 40 Because 4 is less than 5, the shark is closer to sea level than the sea lion Shrimp: 65. Is the seagull or the shrimp closer to sea level? Explain your reasoning. Section 6.4 Absolute Value 7
5 6.4 Exercises Help with Homework. VOCABULARY Explain how to find the absolute value of an integer.. REASONING Which integer is greater, 50 or 5? Which has the greater absolute value? Explain.. DIFFERENT WORDS, SAME QUESTION Which is different? Find both answers. How far is from 0? What integer is units to the left of 0? What is the absolute value of? What is the distance between and 0? 9+(-6)= +(-)= 4+(-9)= 9+(-)= Use a vertical number line to graph the location of each object. Then tell which object is farther from sea level. 4. Scuba diver: 5 m 5. Seagull: m 6. Shark: 40 m Dolphin: m School of fish: 4 m Flag on a ship: m Find the absolute value REASONING Write two integers that have an absolute value of ERROR ANALYSIS Describe and correct the error in finding the absolute value. Copy and complete the statement using <, >, or =. 4 = CAVES Three scientists explore a cave. Which scientist is farthest underground? Scientist A: 48 ft Scientist B: 6 ft Scientist C: 5 ft MATCHING Match the account balance with the debt that it represents. Explain your reasoning. 4. account balance = $5 5. account balance < $5 6. account balance > $5 A. debt > $5 B. debt = $5 C. debt < $5 7 Chapter 6 Integers and the Coordinate Plane
6 Order the values from least to greatest. 7. 5, 0,, 4, 8., 5,, 4, , 6, 9,,, , 0, 9,, 0, 8 Simplify the expression Fahrenheit 4. ABSOLUTE ZERO The coldest possible temperature is called absolute zero. It is represented by 0 K on the Kelvin temperature scale. a. Which temperature is closer to 0 K: F or 50 C? b. What do absolute values and temperatures on the Kelvin scale have in common? Tell whether the statement is always, sometimes, or never true. Explain. 5. The absolute value of a number is greater than the number. 6. The absolute value of a negative number is positive. 7. The absolute value of a positive number is its opposite. 8. PALINDROME A palindrome is a word or sentence that reads the same forward as it does backward. a. Graph and label the following points on a number line: A =, C =, E = 0, R =. Then graph and label the absolute value of each point on the same number line. b. What word do the letters spell? Is this a palindrome? c. Make up your own palindrome. 9. Find values of x and y so that x < y and x > y. Draw the polygon with the given vertices in a coordinate plane. (Section 4.4) 40. A(, ), B(, 5), C(5, 0) 4. D(0, 6), E(, ), F(6, ) 4. P(, ), Q(4, 4), R(8, 4), S(6, ) 4. W(, 6), X(9, 6), Y(9, ), Z(4, ) 44. MULTIPLE CHOICE Which expression represents 6 less than the product of 4 and a number x? (Section.) 6 A (6 4)x B 6 4x C D 4x 6 4x Section 6.4 Absolute Value 7
ACTIVITY: Reading Thermometers. Work with a partner. The thermometers show the temperatures in four cities.
6. Integers less than? How can you represent numbers that are ACTIVITY: Reading Thermometers Work with a partner. The thermometers show the temperatures in four cities. Honolulu, Hawaii Death Valley, California
How are adding integers and subtracting integers related? Work with a partner. Use integer counters to find 4 2. Remove 2 positive counters.
. How are adding integers and subtracting integers related? ACTIVITY: Work with a partner. Use integer counters to find 4. Start with 4 positive counters. Remove positive counters. What is the total number
Comparing and Ordering Integers
6.2 Comparing and Ordering Integers to order real-life events? How can you use a number line 1 ACTIVITY: Seconds to Takeoff Work with a partner. You are listening to a command center before the of a rocket.
How can you use a number line to compare positive and negative fractions and decimals? ACTIVITY: Locating Fractions on a Number Line
. Fractions and Decimals on the Number Line How can you use a number line to compare positive and negative fractions and decimals? ACTIVITY: Locating Fractions on a Number Line On your time line for A
Absolute Value. Example 1. Strategy Graph the number and find its distance from 0 on a number line. Step 1 Graph the number on the number line.
Lesson 14 Absolute Value 6.NS.7.c, 6.NS.7.d 1 Getting the idea The absolute value of a number is its distance from 0 on a number line. 3 units 3 units 5 4 3 2 1 0 1 2 3 4 5 The integers 23 and 3 are each
Unit 5, Lesson 1: Interpreting Negative Numbers
Unit 5, Lesson 1: Interpreting Negative Numbers Lesson Goals Locate rational numbers on the number line. Interpret positive and negative numbers in context. Compare rational numbers. Required Materials
Is the sum of two integers positive, negative, or zero? How can you tell? ACTIVITY: Adding Integers with the Same Sign
.2 Adding Integers Is the sum of two integers positive, negative, or zero? How can you tell? ACTIVITY: Adding Integers with the Same Sign Work with a partner. Use integer counters to find 4 + ( ). Combine
1.1 Integers and Absolute Value 1.2 Adding Integers
1 Integers 1.1 Integers and Absolute Value 1.2 Adding Integers 1. Subtracting Integers 1.4 Multiplying Integers 1.5 Dividing Integers Look, subtraction is not that difficult. Imagine that you have five
Writing and Graphing Inequalities
.1 Writing and Graphing Inequalities solutions of an inequality? How can you use a number line to represent 1 ACTIVITY: Understanding Inequality Statements Work with a partner. Read the statement. Circle
Example A. Try These A ACTIVITY 8. Learning Targets: 100 SpringBoard Mathematics Course 1, Unit 2 Integers. Subtracting Integers
Learning Targets: Use models to subtract one integer with absolute value less than 10 from another. Subtract integers. Solve real-world problems by subtracting integers. SUGGESTED LEARNING STRATEGIES:
1 Monday s low temperature was -6. The high for the day was 11. How many degrees did the temperature rise?
1 Monday s low temperature was -6. The high for the day was 11. How many degrees did the temperature rise? 2 The temperature for seven days were recorded in degrees Fahrenheit as follows: -5, 10, 3, -6,
How can you use multiplication or division to solve an inequality? ACTIVITY: Using a Table to Solve an Inequality
. Solving Inequalities Using Multiplication or Division How can you use multiplication or division to solve an inequality? 1 ACTIVITY: Using a Table to Solve an Inequality Work with a partner. Copy and
Ron Larson Laurie Boswell
BIG IDEAS MATH Oklahoma Edition Ron Larson Laurie Boswell Erie, Pennsylvania BigIdeasLearning.com 1 Integers 1.1 1.2 1. Integers and Absolute Value Multiplying Integers Dividing Integers t is not tha btraction
Integers. Domain 1 Lesson 3. Getting the Idea. Example 1. Strategy. Step 1. Step 2
Domain 1 Lesson 3 Integers Common Core Standards: 6.NS.5, 6.NS.6.a, 6.NS.6.c Getting the Idea Integers include the counting numbers (1, 2, 3, ), their opposites (21, 22, 23, ), and zero. The number line
Work with a partner. How can you show that ( 1)( 1) = 1?
. Multiplying and Dividing Rational Numbers numbers positive? Why is the product of two negative rational In Section., you used a table to see that the product of two negative integers is a positive integer.
How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots
. Approximating Square Roots How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots Work with a partner. Archimedes was a Greek mathematician,
1)Write the integer that represents the opposite of each real-world. situation. In words, write the meaning of the opposite.
1) Write the integer that represents the opposite of each real-world situation. In words, write the meaning of the opposite. a. Example: An atom s positive charge of 7 Opposite: An atom s negative charge
Writing and Graphing Inequalities
4.1 Writing and Graphing Inequalities solutions of an inequality? How can you use a number line to represent 1 ACTIVITY: Understanding Inequality Statements Work with a partner. Read the statement. Circle
ACTIVITY: Areas and Perimeters of Figures
4.4 Solving Two-Step Inequalities the dimensions of a figure? How can you use an inequality to describe 1 ACTIVITY: Areas and Perimeters of Figures Work with a partner. Use the given condition to choose
SAMPLE: DO NOT REPRODUCE IN2 STUDENT PACKET INTEGERS STUDENT PACKET 2: INTEGER CONCEPTS. Name Period Date
Name Period Date INTEGERS STUDENT PACKET 2: INTEGER CONCEPTS IN2.1 IN2.2 IN2.3 Temperature and Number Lines Represent integers on a number line. Explore integer addition on the number line. Use integers
Introduction to Integers
Introduction to Integers Get the Point? Lesson 7-1 Integers and the Number Line Lesson Targets: Use integers to represent quantities in real-world contexts. Position and identify integers on a number line.
Model Direct Variation. You wrote and graphed linear equations. You will write and graph direct variation equations.
2.5 Model Direct Variation a.3, 2A.1.B, TEKS 2A.10.G Before Now You wrote and graphed linear equations. You will write and graph direct variation equations. Why? So you can model animal migration, as in
Inequalities. and Graphing Inequalities 4.3 Solving Inequalities Using. What would you have?
Inequalities.1 Writing ii in and Graphing Inequalities. Solving Inequalities Using Addition or Subtraction. Solving Inequalities Using Multiplication or Division. Solving Two-Step Inequalities If you reached
Integers and Absolute Value
Practice A Integers and Absolute Value Circle the letter that best represents each situation. 1. a gain of 5 yards in football A 5 B +5 C 50 D +50 3. an elevation of 9 feet below sea level A 9 B 1 + 9
ACTIVITY: Estimating the Area of a Circle
8. Areas of Circles How can you find the area of a circle? ACTIVITY: Estimating the Area of a Circle Work with a partner. Each square in the grid is unit by unit. a. Find the area of the large 0-by-0 square.
G6-M3-Lesson 1: Positive and Negative Numbers on the Number Line Opposite Direction and Value
G6-M3-Lesson 1: Positive and Negative Numbers on the Number Line Opposite Direction and Value 1. Draw a number line, and create a scale for the number line in order to plot the points 1, 3, and 5. a. Graph
Exponents ACTIVITY: Using Exponent Notation. ACTIVITY: Using Exponent Notation. How can you use exponents to. write numbers?
0. Exponents write numbers? How can you use exponents to The expression 3 5 is called a power. The base is 3. The exponent is 5. base 3 5 exponent ACTIVITY: Using Exponent Notation Work with a partner.
Solving Systems of Linear and Quadratic Equations
9.5 Solving Systems of Linear and Quadratic Equations How can you solve a system of two equations when one is linear and the other is quadratic? ACTIVITY: Solving a System of Equations Work with a partner.
{...- 4, - 3, - 2, - 1, 0, 1, 2, 3, 4,...}
Introduction to Integers (2.1) Integers are the set of whole numbers and their opposites. {...- 4, - 3, - 2, - 1, 0, 1, 2, 3, 4,...} Example: The highest elevation in North America is Mt. McKinley, which
A function is a rule that establishes a relationship between two quantities, called
1.7 An Introduction to Functions What you should learn GOAL 1 Identify a function and make an input-output table for a function. GOAL 2 Write an equation for a real-life function, such as the relationship
ACTIVITY: Simplifying Algebraic Expressions
. Algebraic Expressions How can you simplify an algebraic expression? ACTIVITY: Simplifying Algebraic Expressions Work with a partner. a. Evaluate each algebraic expression when x = 0 and when x =. Use
Adding and Subtracting Polynomials
7.2 Adding and Subtracting Polynomials subtract polynomials? How can you add polynomials? How can you 1 EXAMPLE: Adding Polynomials Using Algebra Tiles Work with a partner. Six different algebra tiles
MATH STUDENT BOOK. 6th Grade Unit 9
MATH STUDENT BOOK 6th Grade Unit 9 Unit 9 Integers and Transformations MATH 609 Integers and Transformations 1. INTEGERS 5 INTEGERS 6 COMPARING AND ORDERING INTEGERS 12 ABSOLUTE VALUE 16 COORDINATE PLANE
First Edition. Extending the Number System
First Edition Extending the Number System Understanding Integers Understanding integers on a number line. Attributions : Say Thanks to the Authors Click http://www.ck12.org/saythank Except as otherwise
How can you factor the trinomial x 2 + bx + c into the product of two binomials? ACTIVITY: Finding Binomial Factors
7.7 Factoring x 2 + bx + c How can you factor the trinomial x 2 + bx + c into the product of two binomials? 1 ACTIVITY: Finding Binomial Factors Work with a partner. Six different algebra tiles are shown
How can you use algebra tiles to solve addition or subtraction equations?
. Solving Equations Using Addition or Subtraction How can you use algebra tiles to solve addition or subtraction equations? ACTIVITY: Solving Equations Work with a partner. Use algebra tiles to model and
Name Class Date. The ocean floor has varied and distinct surfaces much like those found on land.
6 Explore the Seafloor BigIdeas The ocean floor has varied and distinct surfaces much like those found on land. Satellites orbiting Earth, as well as sonar technology, are used to map the seafloor. The
Solving Multi-Step Equations 1.2. ACTIVITY: Solving for the Angles of a Triangle
. Solving Multi-Step Equations How can you solve a multi-step equation? How can you check the reasonableness of your solution? ACTIVITY: Solving for the Angles of a Triangle Work with a partner. Write
Course 1 Unit 2 Practice
Course 1 Unit Practice Lesson 7-1 1. Model with mathematics. Identify the integer at each point. M N P Q R S 4. Make use of structure. a. Can a positive rational number be an integer? Explain. Give an
BUILD YOUR VOCABULARY
C H A P T E R BUILD YOUR VOCABULARY This is an alphabetical list of new vocabulary terms you will learn in Chapter. As you complete the study notes for the chapter, you will see Build Your Vocabulary reminders
Number System Chapter Questions
Number System Chapter Questions. What is an integer?. Explain what absolute value represents.. Create an owing money example for comparing two negative numbers.. What is the Cartesian (Coordinate) plane?
Understand Positive and Negative Numbers
Lesson. Understand Positive and Negative Numbers Positive integers are to the right of on the number line. Negative integers are to the left of on the number line. Opposites are the same distance from,
Factoring Polynomials Using the GCF
7.6 Factoring Polynomials Using the GCF polynomial in factored form? How can you use common factors to write a 1 ACTIVITY: Finding Monomial Factors Work with a partner. Six different algebra tiles are
Fair Game Review. Chapter inches. Your friend s height is 5.6 feet. Who is taller? Explain.
Name Date Chapter 8 Fair Game Review Complete the number sentence with , or =. 1. 3 0.. 7 0.7 10 3. 0.6. 3 1.75 3 5. 1 6 6. 31 1.8 16 7. Your height is 5 feet and 1 5 8 inches. Your friend s height
Lesson 1: Positive and Negative Numbers on the Number Line Opposite Direction and Value
NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 1 6 3 Lesson 1: Positive and Negative Numbers on the Number Line Opposite Direction and Value 1. If zero lies between aa and dd, give one set of possible values
Properties of Radicals
9. Properties of Radicals Essential Question How can you multiply and divide square roots? Operations with Square Roots Work with a partner. For each operation with square roots, compare the results obtained
12.2 Adding Rational Numbers
Rational Numbers. Rational Numbers. Adding Rational Numbers. Subtracting Rational Numbers. Multiplying and Dividing Rational Numbers On the count of, I m going to give you half of my dog biscuits.,,,,,,,...
Why is the product of two negative rational numbers positive?
. Multiplying and Dividing Rational Numbers Why is the product of two negative rational numbers positive? In Section., you used a table to see that the product of two negative integers is a positive integer.
Chapter Review. Connecting BIG ideas and Answering the Essential Questions. n+3 I n I 3 I r. 68 Chapter 1 Chapter Review
Chapter Review Connecting BIG ideas and Answering the Essential Questions 1 Variable You can use variables to represent quantities and to write algebraic expressions and equations. / Variables and Expressions
+ 37,500. Discuss with your group how do you THINK you would represent 40 degrees below 0 as an integer?
6.1 Integers *I can use positive and negative numbers to show amounts in real-world situations and explain what the number 0 means in those situations. *I can recognize opposite signs of numbers as indicating
Integers. number AnD AlgebrA NuMber ANd place value
2 2A Adding and subtracting integers 2B Multiplying integers 2C Dividing integers 2D Combined operations on integers WhAT Do You know? Integers 1 List what you know about positive and negative integers.
How can you write an equation of a line when you are given the slope and a point on the line? ACTIVITY: Writing Equations of Lines
.7 Writing Equations in Point-Slope Form How can ou write an equation of a line when ou are given the slope and a point on the line? ACTIVITY: Writing Equations of Lines Work with a partner. Sketch the
Apply Properties of 1.1 Real Numbers
TEKS Apply Properties of 1.1 Real Numbers a.1, a.6 Before Now You performed operations with real numbers. You will study properties of real numbers. Why? So you can order elevations, as in Ex. 58. Key
Solving Inequalities Using Addition or Subtraction 7.6. ACTIVITY: Writing an Inequality. ACTIVITY: Writing an Inequality
7.6 Solving Inequalities Using Addition or Subtraction How can you use addition or subtraction to solve an inequality? 1 ACTIVITY: Writing an Inequality Work with a partner. In 3 years, your friend will
4. Name the transformation needed to transform Figure A into Figure B, using one movement. l
Review 1 Use the following words to fill in the blank to make true sentences. translation rotation reflection 1. A is a transformation that slides a figure a given distance in a given direction. 2. A is
Zero and Negative Exponents
0.4 Zero and Negative Exponents How can you evaluate a nonzero number with an exponent of zero? How can you evaluate a nonzero number with a negative integer exponent? ACTIVITY: Using the Quotient of Powers
ABSOLUTE VALUE Judo Math Inc.
ABSOLUTE VALUE 2013 Judo Math Inc. 6 th grade Number Sense Discipline: Orange Belt Training Order of Mastery: Absolute Value (6NS7-8) 1. Inequality to show position 2. Explain statements of order in the
MATHS QUEST 8 for the Australian Curriculum
MATHS QUEST 8 for the Australian Curriculum 2 2A Adding and subtracting integers 2B Multiplying integers 2C Dividing integers 2D Combined operations on integers WHAT DO YOU KNOW? Integers 1 List what you
2-4 Multiplying Integers
Find each product. 1. 6 7 42 2. 5( 8) 40 3. 8( 3)( 5) 120 4. 2( 9)( 5) 90 5. Financial Literacy Mr. Heppner bought lunch with his debit card every day for 5 days. Each day he spent $8. If these were his
What You ll Learn. or irrational. New Vocabulary perfect square, square root, irrational numbers, real numbers. Why Learn This?
-. Plan - Exploring Square Roots and Irrational Numbers Objective To find and estimate square roots and to classify numbers as rational or irrational Examples Finding Square Roots of Perfect Squares Estimating
Unit 5, Lesson 1: Interpreting Negative Numbers
Unit 5, Lesson 1: Interpreting Negative Numbers Let's review what we know about signed numbers. 1.1: Using the Thermometer Here is a weather thermometer. Three of the numbers have been left off. 1. What
Lesson 2: Introduction to Variables
In this lesson we begin our study of algebra by introducing the concept of a variable as an unknown or varying quantity in an algebraic expression. We then take a closer look at algebraic expressions to
Chapter 2 (Operations with Integers) Bringing It All Together #1
Chapter 2 (Operations with Integers) Bringing It All Together #1 Vocabulary Check Define the following vocabulary words: 1) Absolute Value: 2) Quadrant: State whether the statement is true or false. If
Grade 6 Module 3. Eureka Math Exit Ticket Packet. FL State Adoption Bid # 3689
FL State Adoption Bid # 3689 Eureka Math Packet Grade 6 Module 3 Topic A Lesson Qty: 30 Lesson 2 Qty: 30 Lesson 3 Qty: 30 Lesson 4 Qty: 30 Lesson 5 Qty: 30 Lesson 6 Qty: 30 Topic C Lesson 4 Qty: 30 Lesson
Name: Date: Core: Rational Numbers. Opposite and Absolute Value of Integers. Comparing and Ordering Rational Numbers
Name: Date: Core: Rational Numbers Comparing and Ordering Integers Opposite and Absolute Value of Integers Intro to Rational Numbers Comparing and Ordering Rational Numbers Rational Numbers on Coordinate
Simplifying Rational Expressions
.3 Simplifying Rational Epressions What are the ecluded values of a rational epression? How can you simplify a rational epression? ACTIVITY: Simplifying a Rational Epression Work with a partner. Sample:
Attributes and Transformations of Quadratic Functions VOCABULARY. Maximum value the greatest. Minimum value the least. Parabola the set of points in a
- Attributes and Transformations of Quadratic Functions TEKS FCUS VCABULARY TEKS ()(B) Write the equation of a parabola using given attributes, including verte, focus, directri, ais of smmetr, and direction
Fair Game Review. Chapter 4. x > Name Date. Graph the inequality. 5. x 2.3
Name Date Chapter 4 Fair Game Review Graph the inequality. 1. x < 3 2. x 5 3. x 2 4. x > 7 5. x 2.3 6. x > 2 5 7. The deepest free dive by a human in the ocean is 417 feet. The depth humans have been in
Factoring x 2 + bx + c
7.5 Factoring x 2 + bx + c Essential Question How can you use algebra tiles to factor the trinomial x 2 + bx + c into the product of two binomials? Finding Binomial Factors Work with a partner. Use algebra
Won t you be my urchin? Featured scientist: Sarah W. Davies from University of Texas at Austin
Won t you be my urchin? Featured scientist: Sarah W. Davies from University of Texas at Austin Research Background: Imagine you are snorkeling on a coral reef! You see lots of plants and animals living
Solving Quadratic Equations: Algebraically and Graphically Read 3.1 / Examples 1 4
CC Algebra II HW #14 Name Period Row Date Solving Quadratic Equations: Algebraically and Graphically Read 3.1 / Examples 1 4 Section 3.1 In Exercises 3 12, solve the equation by graphing. (See Example
Houston County School System Mathematics
Student Name: Teacher Name: Grade: 6th Unit #: 6 Unit Title: Rational Explorations Approximate Start Date of Unit: February 6 Approximate End Date (and Test Date) of Unit: March 16 I can identify an integer
Natural Numbers: Also called the counting numbers The set of natural numbers is represented by the symbol,.
Name Period Date: Topic: Real Numbers and Their Graphs Standard: 9-12.A.1.3 Objective: Essential Question: What is the significance of a point on a number line? Determine the relative position on the number
ACTIVITY: Classifying Polynomials Using Algebra Tiles
7. Polynomials classify polynomials? How can you use algebra tiles to model and ACTIVITY: Meaning of Prefixes Work with a partner. Think of a word that uses one of the prefixes with one of the base words.
d s bt t Prepares for N-RN.B.3 Explain why th
Add d s bt t Prepares for N-RN.B. Explain why th I n g an R I N b @) Common Core State Standards u ra C I n g product of two rational numbers is ration \sum or sum of a rational number and an irration:i'
Fair Game Review. Chapter. Name Date. Simplify the expression. Explain each step. 2. ( ) Big Ideas Math Red Record and Practice Journal
Name Date Chapter 1 Fair Game Review Simplify the expression. Explain each step. 1. 2 + ( 5 + y) 2. ( ) c + 1 + 9 3. ( 2.3 + n) + 1.4 4. 7 + ( d + 5) 5. 10( 7t ) 6. 84k ( ) Copyright Big Ideas Learning,
You studied exponential growth and decay functions.
TEKS 7. 2A.4.B, 2A..B, 2A..C, 2A..F Before Use Functions Involving e You studied eponential growth and deca functions. Now You will stud functions involving the natural base e. Wh? So ou can model visibilit
Integers. Academic Vocabulary elevation
Integers Unit Overview In this unit, you will study negative numbers, and you will learn to add, subtract, multiply and divide them. You will graph positive and negative numbers on number lines and on
a. Do you think the function is linear or non-linear? Explain using what you know about powers of variables.
8.5.8 Lesson Date: Graphs of Non-Linear Functions Student Objectives I can examine the average rate of change for non-linear functions and learn that they do not have a constant rate of change. I can determine
6-6 Solving Systems of Linear Inequalities 6-6. Solving Systems of Linear Inequalities
6-6 Solving Systems of Linear Inequalities Warm Up Lesson Presentation Lesson Quiz 1 2 pts 3 pts 5 pts Bell Quiz 6-6 Solve each inequality for y. 1. 8x + y < 6 2. 3x 2y > 10 3. Graph the solutions of 4x
Essential Question How can you solve an absolute value inequality? Work with a partner. Consider the absolute value inequality x
Learning Standards HSA-CED.A.1 HSA-REI.B.3.6 Essential Question How can you solve an absolute value inequality? COMMON CORE Solving an Absolute Value Inequality Algebraically MAKING SENSE OF PROBLEMS To
Solving Equations with Variables on Both Sides
1. Solving Equations with Variables on Both Sides Essential Question How can you solve an equation that has variables on both sides? Perimeter Work with a partner. The two polygons have the same perimeter.
Math 6 Notes Unit 02: Introduction to Algebra
Math 6 Notes Unit 0: Introduction to Algebra Evaluating Algebraic Expressions NEW CCSS 6.EE.b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient);
How can you use inductive reasoning to observe patterns and write general rules involving properties of exponents?
0. Product of Powers Property How can you use inductive reasoning to observe patterns and write general rules involving properties of exponents? ACTIVITY: Finding Products of Powers Work with a partner.
Lesson 1: What is a Parabola?
Lesson 1: What is a Parabola? Parabola Vocabulary Write the defintion of the given word. Label #3-6 on the graph. 1. Parabola: Name Class Date 2. Trajectory: 3. Zeros: 4. Axis of Symmetry: 5. Vertex: Online
How can you use addition or subtraction to solve an equation?
7.2 Solving Equations Using Addition or Subtraction How can you use addition or subtraction to solve an equation? When two sides of a scale weigh the same, the scale will balance. When you add or subtract
LC O 6 12 =? 6 + ( 12) = 18. Add the Opposite... Leave Change Opposite. the same... different... Subtraction. Know this Term
Adding/Subtracting Integers Copy Notes Adding and Subtracting Integers Copy Notes Addition Subtraction the same... Add, and keep the sign... ex. 2 + 3 = 5 2 + ( 3) = 5 Are the signs... different... Subtract,
Instructional Strategy Mathematics
Instructional Strategy Mathematics Symbols of Comparison Three of the most important symbols in math are =, >, and
Fair Game Review. Chapter inches. Your friend s height is 5.6 feet. Who is taller? Explain.
Name Date Chapter Fair Game Review Complete the number sentence with , or =.. 0.. 7 0.7 0. 0.6..75 5. 6 6..8 6 7. Your height is 5 feet and 5 8 inches. Your friend s height is 5.6 feet. Who is taller?
Writing Scientific Notation ACTIVITY: Finding ph Levels. How can you write a number in. scientific notation?
10.6 Writing Scientific Notation scientific notation? How can you write a number in 1 ACTIVITY: Finding ph Levels Work with a partner. In chemistry, ph is a measure of the activity of dissolved hydrogen
Complex Numbers. Essential Question What are the subsets of the set of complex numbers? Integers. Whole Numbers. Natural Numbers
3.4 Complex Numbers Essential Question What are the subsets of the set of complex numbers? In your study of mathematics, you have probably worked with only real numbers, which can be represented graphically
IB Math SL Year 2 Name Date Lesson 10-4: Displacement, Velocity, Acceleration Revisited
Name Date Lesson 10-4: Displacement, Velocity, Acceleration Revisited Learning Goals: How do you apply integrals to real-world scenarios? Recall: Linear Motion When an object is moving, a ball in the air
Coral bleaching and climate change Featured scientist: Carly Kenkel from The University of Texas at Austin
Name Coral bleaching and climate change Featured scientist: Carly Kenkel from The University of Texas at Austin Research Background: Corals are animals that build coral reefs. Coral reefs are home to many
Exponents ACTIVITY: Using Exponent Notation. ACTIVITY: Using Exponent Notation. How can you use exponents to. write numbers?
6. Exponents write numbers? How can you use exponents to The expression 3 5 is called a power. The base is 3. The exponent is 5. base 3 5 exponent ACTIVITY: Using Exponent Notation Work with a partner.
5-6. Quadratic Equations. Zero-Product Property VOCABULARY TEKS FOCUS ESSENTIAL UNDERSTANDING. Problem 1. Solving a Quadratic Equation by Factoring
5-6 Quadratic Equations TEKS FOCUS TEKS (4)(F) Solve quadratic and square root equations. TEKS (1)(C) Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate,
SUMMER PACKET FOR HONORS ALGEBRA ONE
SUMMER PACKET FOR HONORS ALGEBRA ONE Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. Write an algebraic expression for the phrase.. the sum
Integers and Absolute Value (Pages 56 61)
2-1 Integers and Absolute Value (Pages 56 61) An integer is a number that is a whole number of units from zero on the number line. Integers to the left of zero are less than zero. They are negative. The
CH 10 INTRO TO SIGNED NUMBERS
87 CH 10 INTRO TO SIGNED NUMBERS Positive and Negative Numbers W e just saw equations like x + 2 = 10, and we know that we can subtract 2 from each side of the equation to get the solution x = 8. But what
GRADE 6 Projections Masters
TEKSING TOWARD STAAR MATHEMATICS GRADE 6 Projections Masters Six Weeks 1 Lesson 1 STAAR Category 1 Grade 6 Mathematics TEKS 6.2A/6.2B Understanding Rational Numbers A group of items or numbers is called
Mini Lecture 1.1 Introduction to Algebra: Variables and Mathematical Models
Mini Lecture. Introduction to Algebra: Variables and Mathematical Models. Evaluate algebraic expressions.. Translate English phrases into algebraic expressions.. Determine whether a number is a solution