Upload File

1, 8.3 multiplying and dividing integers using models · opposite integers = two integers with a...

  • Home
  • Documents
  • 1, 8.3 Multiplying and Dividing Integers Using Models · Opposite Integers = Two integers with a sum of zero. For example, +3 and 3 are opposite integers. Recall from Grade 7 Integer
7
Positive Integer = A number greater than zero. Negative Integer = A number less than zero. Opposite Integers = Two integers with a sum of zero. For example, +3 and 3 are opposite integers. Recall from Grade 7 Integer tiles are used to model integers. They combine to form a Zero Pair . + Positive Integer Tile models +1 Negative Integer Tile models 1 + 8.1, 8.3 Multiplying and Dividing Integers Using Models

Upload: others

Post on 18-Feb-2021

3 views

Category:

Documents


2 download

Report

TRANSCRIPT

  • Positive Integer = A number greater than zero.  

    Negative Integer = A number less than zero.  

    Opposite Integers = Two integers with a sum of zero.For example, +3 and 3 are opposite integers.

    Recall from Grade 7Integer tiles are used to model integers.

    They combine to form a Zero Pair.

    + Positive Integer Tile models +1 Negative Integer Tile models 1

    +

    8.1, 8.3 Multiplying and Dividing Integers Using Models

  • When the FIRST Number is Positive (+)

    Method 1A:  Multiplication with Integer Tiles

    When the FIRST Number is Negative ()

    • ADD tiles to the bank • Remove tiles from the bank• ZERO Pairs

    (+3)  x  (+2)3 groups 2+ tiles ineach group

    ++

    ++

    ++

    Answer:  total tiles in the bank

    Answer:  (+6)

    Example A:

    Example B:

    (+5)  x  (3)

    Answer:  total tiles in the bank

    Answer:  (15)

    Example A:(6)  x  (+3)

    Answer:  total tiles in the bank

    Answer:  (18)

    6 groups of

    +++

    +++

    +++

    +++

    +++

    +++

    Remove 6 groups of (+3) tiles

    +++

    +++

    +++

    +++

    +++

    +++

    (4)  x  (2)

    Answer:  total tiles in the bank

    Answer:  (+8)

    Remove 4 groups of (2) tiles

    ++

    + +

    ++

    ++

    ++

    ++

    ++

    ++

    Example B:

    Add

    Add

    Take Away positive 3

    Add 5 groups of negative 3Take Away 4 groups of Negative 2

  • When the Signs are the SAME• ADD tiles to the bank• Answer is POSITIVE

    • Remove tiles from the bank• ZERO Pairs• Answer is NEGATIVE

    (+10)    (+2)total tiles in bank

    Answer:  total number of groups

    Answer:  (+5)

    ++

    ++

    ++

    ++

    ++

    Count the groups

    ++

    ++

    ++

    ++

    ++

    1 2 3 4 5

    Example A:

    Example B:

    Example A:

    Answer:  total number of groups removed

    Answer:  (3)

    total zero pairs in bank

    Remove ALL groups of (2) tiles

    (+6)    (2)

    + +

    + +

    + +

    + +

    + +

    + +

    Count how many groups you removed

    + +

    + +

    + +

    1 2 3

    Example B:

    Method 1B:  Division with Integer Tiles

    When the Signs are the DIFFERENT

    (12)    (6)total tiles in bank

    6 tiles ineach group

    Answer:  total number of groups

    Answer:  (+2)

    Count the groups

    1 2

    4 zero pairs ineach group

    total zero pairs in bank

    (8)    (+4)

    Read: Add 2 groups to make +10 Read: Take Away 2 groups to make +6

    Read: Add 4 groups to make -8

    Ignore Drawing Below. I wasn't able to delete them. Try to solve it though.

  • Method 2A:  Multiplication with Number Lines

    (+4)  x  (+2)count by 2s on number linewalk forward

    Answer:  where you stop walking is the answer

    Answer:  (+8)

    4 stepsface +

    Start at 0Turn and Face (+) and Walk Forward

    Example A:

    (+5)  x  (3)count by 3s on number linewalk backward

    Answer:  where you stop walking is the answer

    Answer:  (15)

    5 stepsface +

    Start at 0Turn and Face (+) and Walk Backward

    Example B:

  • (2)  x  (+3)count by 3s on number linewalk forward

    Answer:  where you stop walking is the answer

    Answer:  (6)

    2 stepsface 

    Start at 0Turn and Face () and Walk Forward

    Example C:

    (7)  x  (5)count by 5s on number linewalk backward

    Answer:  where you stop walking is the answer

    Answer:  (+35)

    7 stepsface 

    Start at 0Turn and Face () and Walk Backward

    Example D:

  • (+10)    (+2)final number on 

    number line

    Count how many steps you took

    Answer:  (+5)

    Start at 0In order to walk forward from 0 to +10, you must face +

    Example A:

    count by 2s on number linewalk forward

    Answer:  the number of steps you took

    1 2 3 4 5

    The sign is +, because you face +

    Method 2B:  Division with Number Lines

    (12)    (6)final number on 

    number line

    Count how many steps you took

    Answer:  (+2)

    Start at 0In order to walk backward from 0 to 12, you must face +

    Example B:

    count by 6s on number linewalk backward

    Answer:  the number of steps you took

    The sign is +, because you face +

    2 1

    (OPTIONAL)

  • Start at 0In order to walk backward from 0 to 6, you must face 

    (+6)    (2)final number on 

    number line

    Count how many steps you took

    Answer:  (3)

    Example D:

    count by 2s on number linewalk backward

    Answer:  the number of steps you took

    The sign is , because you face 

    1 2 3

    Start at 0In order to walk forward from 0 to 8, you must face 

    (8)    (+4)final number on 

    number line

    Count how many steps you took

    Answer:  (2)

    Example C:

    count by 4s on number linewalk forward

    Answer:  the number of steps you took

    The sign is , because you face 

    12

    Page 1: Oct 4-8:01 AMPage 2: Sep 29-6:09 PMPage 3: Sep 29-6:09 PMPage 4: Sep 29-6:09 PMPage 5: Sep 29-6:09 PMPage 6: Sep 29-6:09 PMPage 7: Sep 29-6:09 PM


Tutorials--Multiplying Integers

MULTIPLYING RATIONAL NUMBERS LESSON 8. Multiplying Integers Positive x Positive = Positive Positive x Negative = Negative Negative x Negative =

7th Grade Math - msthury.weebly.com · Additional Example 2: Subtracting Integers by Adding the Opposite Additional Example 2: Subtracting Integers by Adding the Opposite Find each

Chapter 1. 9 Multiplying & Dividing Integers

1.4 Multiplying Integers - Homepage | Page...Section 1.4 Multiplying Integers 23 Inductive Reasoning Work with a partner. Complete the table. Exercise Type of Product Product Product:

THIS IS With Host... Your 100 200 300 400 500 Adding integers Subtracting integers multiplying integers Dividing integers Word problems Mixed bag

Today’s Lesson: What: Multiplying and dividing integers Why: To establish the rules for multiplying and dividing integers. What: Multiplying and dividing

ADDING, SUBTRACTING, MULTIPLYING AND DIVIDING INTEGERS By : Katie Kurth and Kateylnn Everhart

Pre-Algebra 2-3 Multiplying and Dividing Integers Today’s Learning Goal Assignment Learn to multiply and divide integers

Multiplying and Dividing Integers - PandaNationpandanation.weebly.com/uploads/1/3/0/5/13051641/math_8... · Web viewAdding and Subtracting Integers Adding Integers: Think of a gains

Multiplying and Dividing Integers

W1 - Lesson 4: Multiplying and Dividing Integers · W1 – Lesson 4: Multiplying and Dividing Integers Materials required: • Paper, Pencil, and Calculator Part 1: Multiplying Integers

Multiplying polynomials - Integers - Simplify product of monomials … · 2019. 9. 3. · MATHX.NET Multiplying polynomials - Integers - Simplify product of monomials and binomials

Multiplying integers

Mels Theorem Multiplying Integers 4

1.4 Multiplying Integers - Weeblymathphillips.weebly.com/uploads/1/7/8/2/17823839/ch._1b_part_1... · ... Multiplying Integers with Different Signs ... Multiply. 1. 5 ⋅ 5 2. 4(11)

Unit 2 Notes.notebookUnit 2 Notes.notebook 16 October 24, 2019. Unit 2 Integers Unit 2 - Integers Grade 8 Mathematics Section 2.1 - Using Models to Multiply Integers Multiplying integers

1 Lesson 1.2.1 Multiplying with Integers. 2 Lesson 1.2.1 Multiplying with Integers California Standard: Number Sense 2.3 Solve addition, subtraction,

Rules When multiplying and dividing integers there are two rules: 1. When multiplying or dividing integers that have the SAME sign, the answer is POSITIVE

Module 2 lesson 12 multiplying integers

17-Apr-15Created by Mr. Lafferty Maths Dept Ordering integers Integers Add / Sub Mathematically Letters and Numbers Multiplying Integers

Multiplying polynomials - Integers - Simplify product of monomials … · 2019-09-03 · MATHX.NET Multiplying polynomials - Integers - Simplify product of monomials and binomials

Multiplying and Dividing Integers We are learning to…multiply and divide integers by looking for patterns. Thursday, August 13, 2015

Pre-Algebra 2-3 Multiplying and Dividing Integers 2-3 Multiplying and Dividing Integers Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day

Lesson Plan -- Multiplying and Dividing Integers - … and... · Lesson Plan -- Multiplying and Dividing Integers Chapter Resources - Lesson 3-9 Multiply Integers - Lesson 3-9 Multiply

Section 1.5 Homework questions?. Section Concepts 1.5 Multiplication and Division of Integers 1.Multiplication of Integers 2.Multiplying Many Factors

Lesson 2.6 - Multiplying Integers

11.4 Multiplying Integers

1.4 Multiplying and Dividing Integers.notebook Multiplying and Dividing Integers.notebook 1 ... Adding and Subtracting Integers Human Number Line: 1.3 ... 1.4 Teacher Notes

Math Jeopardy Adding Integers Subtracting Integers Multiplying Integers Dividing Integers Properties $100 $200 $300 $400 $500 $100 $200 $300 $400 $500

When multiplying and dividing integers there are two rules: 1.When multiplying or dividing integers that have the SAME sign, the answer is POSITIVE

Pre-Alg 3.1 Multiplying Integers & Decimals

1.4 Multiplying Integers...Section 1.4 Multiplying Integers 23 Inductive Reasoning Work with a partner. Complete the table. Exercise Type of Product Product Product: Positive or Negative

Every integer has an opposite integers. A number and its opposite are the same distance from zero

2.3 Multiplying and Dividing Integers