Today’s lesson What: Integer Applications (Word Problems) Why:

Slides:

Advertisements

Similar presentations

Add Name the integer that corresponds to each point. 5. A6. B 5 11 – Do Now.

Advertisements

Rational and Irrational

Integers: Multiplication & Division

Day 4 – Subtracting Integers. How to subtract integers with algebra tiles 1. Change the problem to addition  Keep the first number the same  Change.

Addition, Subtraction, Multiplication, and Division of Integers

11-4 Adding Integers Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.

Name:________________________________________________________________________________Date:_____/_____/__________ Fill-in-the-Blanks with the rules for.

“Elevation”Examples: 1.Ms. Dyson entered the elevator on the 4th Floor. She rode the elevator down two levels, up four levels, and down two more levels.

Integers Unit Quiz Review 6 th : 5-1, 5-2, th : 3-1, 3-2, 3-3.

IntegersIntegers Add, subtract, multiply, and divide.

11-4 Adding Integers Problem of the Day Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

HW: Page 460 ANSWERS TURN IN YOUR HW AFTER YOU GRADE IT! I will grade #5, #6, #15, #16, #17, & #18. TURN IN YOUR HW AFTER YOU GRADE IT!

Adding Integers and Developing Rules Correct answer is -15 What are you doing with the numbers? If both signs are negative how does that affect.

Name:________________________________________________________________________________Date:_____/_____/__________ Fill-in-the-Blanks with the rules for.

Integers. Definition Positive integer – a number greater than zero

Subtracting Integers Objective: Learn to subtract integers.

2-4 Multiplying and Dividing Integers Warm Up Evaluate each expression (-5) – (-3) 3. 4 · ÷

UNIT 4 INTEGERS. WHAT ARE INTEGER NUMBERS? In Mathematics, the integer set of numbers is formed by the natural numbers, zero and negative numbers. It.

0-3 Addition and Subtraction with Integers Goals: Add and subtract integers Use addition and subtraction to solve real life problems *

INTRODUCING INTEGERS.

Bell Ringer Brett borrowed $7 from his father to buy a cap. He paid back $3. How much money does Brett have now? 1. Beginning at 0, in which direction.

Multiplying and Dividing Integers

Interesting Integers – Part Dos

-8 5 INTERESTING INTEGERS!

Name the integer that corresponds to each point.

How do you subtract integers?

Integers Rules of Operation.

Positive and Negative Numbers

Integers Less than Zero Greater than Zero

Integers Unit Quiz Review

Course Adding Integers Learn to add integers.

Warm Up Problem of the Day Problem of the Day Lesson Presentation

Rational Numbers & Equations Pages 227 – 246

Warm-Up 13 x 3 14 x 4 12 x 11 9 x 13.

Rational Numbers & Equations

Rational Numbers & Equations

We will add and subtract rational numbers.

Today’s lesson What: Integer Applications (Word Problems) Why:

7/8 A Review and new concepts with Integers!

Multiplying and Dividing Integers Unit 1 Lesson 11

Multiplying Integers The product of two positive or two negative integers is positive. The product of a positive integer and a negative integer is negative.

Opening Activity Evaluate the following in your spiral on your Adding Positive and Negative Integers page. Write both the expression and the answer. 5.

Integers and Absolute Value

Chapter 2: Adding Integers

Solving Two- Step Equations

Positive and Negative Numbers

Objective: Learn to subtract integers.

Lesson #17: Adding Integers

Two-step equations Today’s Lesson: What: Why:

Integer Review Addition Subtraction

Solving Two- Step Equations

Preview Warm Up California Standards Lesson Presentation.

Integers Integers: the set of whole numbers and their opposites.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Additional Example 1A: Multiplying Integers Using Repeated Addition

1-7 Subtracting Integers

Opening Activity In your spirals, complete the pyramid by filling in the missing numbers. Each number is the sum of the numbers in the two boxes below.

Positive and Negative Numbers

DIRECTED NUMBERS.

Problem of the Day (-4) = =

Rules of adding integers

Warm Up Problem of the Day Problem of the Day Lesson Presentation

Adding and Subtracting integers - word problems

Multiplication of Integers

Bellwork: Monday.

Because division is the inverse of multiplication, the rules for dividing integers are the same as the rules for multiplying integers. Dividing Integers.

Aim: I will learn to subtract integers.

Integers and Absolute Value

Presentation transcript:

Today’s lesson . . . What: Integer Applications (Word Problems) Why: . . . so I can analyze a variety of real-life integer applications/scenarios. How: . . . by taking accurate notes, participating in the lesson, and accurately completing homework.

What strategies can you use to analyze and solve word problems?

Analyzing a “word problem”: Read entire problem first. Read AGAIN and _______________ key words. 3. Set up the problem and _________. highlight solve

Key Words: SUM means ________________ . addition DIFFERENCE means ____________________ . PRODUCT means ________________________ . QUOTIENT means _______________________ . addition subtraction multiplication division

Together: -35 -50 -22 20 On Your Own: -3 25 10 42 What is the product of 7 and -5? What is the sum of –30 and -20? What is the difference between -5 and 17? What is the quotient of -100 and -5? -35 -50 -22 20 On Your Own: 5) What is the quotient of 24 and -8? 6) What is the difference between 5 and -20? What is the sum of -120 and 130? What is the product of -6 and -7 ? -3 25 10 42

10 – (-8) = 18 . . . so, the difference is 18°. Word problems: TOGETHER: HINT for next problems: Finding the difference between a positive and a negative number involves SUBTRACTING a negative!!! 1. It was a brisk 10°F on a wintery night in Alaska. However, the wind-chill factor made it feel like it was -8°F. What is the difference between these two temperatures? 10 – (-8) = 18 . . . so, the difference is 18°.

45 – (-15) = 60. . . so, the difference is 60⁰. YOUR TURN: HINT for next problems: Finding the difference between a positive and a negative number involves SUBTRACTING a negative!!! 2. The record low temperature for January in Augusta, Maine is -15°F, while the record high temperature is 45°F. What is the difference between the record high and the record low? 45 – (-15) = 60. . . so, the difference is 60⁰.

YOUR TURN: HINT: Read carefully, this one is different . . . 3. The temperature on Monday was 12°F. By Tuesday, it decreased 20 degrees. What was the temperature on Tuesday? 12 + (-20) = -8⁰F

TOGETHER: HINT for next problems: Add the total points up – follow your addition rules (Same signs, add. Different signs, subtract!) 4. Joe ended round 1 with $45,350. However, Bob ended round 1 with -$3,500. If their money were combined, how much would it total? 45,350 + (-3,500) = $41,850

Jason had 15 points in round 1, -20 points in round 2, YOUR TURN: HINT for next problems: Add the total points up – follow your addition rules (Same signs, add. Different signs, subtract!) 5. Jason had 15 points in round 1, -20 points in round 2, and 30 points in round 3. What was his total points for all 3 rounds? 15 + (-20) + 30 = 25

Jade’s bank account balance was $ - 75.00 on Monday. TOGETHER: HINT for next problems: The phrase “How much more . . .” means SUBTRACTION. These also involve finding the difference between a positive and a negative . . . 6. Jade’s bank account balance was $ - 75.00 on Monday. If she needs $125 by Christmas, how much more money does she need to earn? 125 – (-75) = $200

YOUR TURN: HINT for next problems: The phrase “How much more . . .” means SUBTRACTION. These also involve finding the difference between a positive and a negative . . . 7. Jake owes his parents $60, and has nothing in his savings. Josh has $250 in his savings. How much more money does Jake need in order to have as much as Josh? 250 – (-60) = $310

A Navy submarine was 50 ft. below sea level. It rose TOGETHER: HINT for next problems: Group the negative movements together. Do the same for the positives. Then, add them. 8. A Navy submarine was 50 ft. below sea level. It rose 15 ft., sank 90 ft., rose 20 ft., and sank 15 ft. Where is the submarine? (-50 + -90 + -15) = -155 (15 + 20) = 35 (-155 + 35) = -120 ft. below sea level

(4,100) + (-550) = 3,550 ft. above ground. YOUR TURN: HINT for next problems: Group the negative movements together. Do the same for the positives. Then, add them. 9. An airplane was at an elevation of 4,000 ft. above the ground. It descended 450 ft., and descended an additional 100 ft. However, it was in the flight path of another plane, so it ascended 100 ft. What is the plane’s altitude? (4,100) + (-550) = 3,550 ft. above ground.

Wrap-it-up (summary): What strategies can you use to analyze and solve word problems? Read the problem. Read the problem again and highlight key words. Set up the problem and solve it. Check to see if the answer makes sense!