FOCUS 5 PRE-ALGEBRA Rational Number Operations Multiplication & Division 7.NS.2.a, 7.NS.2.b, 7.NS.2.c, 7.NS.3, 7.EE.3.

Slides:

Advertisements

Similar presentations

Properties of Real Numbers. TYPES OF NUMBERS NATURAL  5, 3, 1, 700, 26 … positives, no fractions WHOLE  0, 1, 1052, 711, … naturals and 0 INTEGERS 

Advertisements

Real Numbers and The Number Line

Exploring, Adding, Subtracting, Multiplying, and Dividing Real Numbers.

2.1 Integers & Absolute Value 2.2 Adding Integers.

Adding rational numbers Essential question: How can you add rational numbers? Unit 1-2.

Adding and Subtracting Integers. Adding and Subtracting Integers 3R 3L Adding and Subtracting Integers Reflection Observe, Question, Comment 08/16/1308/15/13.

Focus 4 Pre-Algebra Rational Number Operations Addition & Subtraction

The Real Number System. The natural numbers are the counting numbers, without _______. Whole numbers include the natural numbers and ____________. Integers.

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

Adding Integers. Adding Integers with the Same Sign Add the absolute values. The sum will have the same sign as the addends. Example 1 Find –2 + (-3)

Adding Integers with Different Signs

7.1 - Introduction To Signed Numbers

Chapter 1 Foundations for Algebra

Chapter 2 Definitions Numbers such as 3 and -3 that are the same distance from 0 but on the opposite side of 0 are called opposites. The set of integers.

Chapter 1 Learning Target: 10

Operations: Add, Subtract, Multiply, Divide

VOCABULARY. The set {0, 1, 2,….} Whole Numbers VOCABULARY Lines and sets that never end continue to… Infinity.

Additive Inverse: Two numbers whose sum is 0 are additive inverses of one another. Example: 3/4 and – 3/4 are additive inverses of one another because.

A Slide Show by Mr. Mark Martin. Integer Operations Integers are all the positive and negative numbers and zero. –In set notation: {... -2, -1, 0, 1,

Adding and Subtracting Integers To add integers with the same sign, add their absolute values and then change the sign to the sign of the addends. Positive.

2.2 Adding and Subtracting Rational Numbers Use a number line to find each sum. a (- 4) Step 1 – Draw an arrow from 0 to -3. Step 2 – Draw a second.

Lesson 2-2 Adding and Subtracting Rational Numbers.

Chapter 2.1 Rational Numbers and Chapter 2.2 Adding and Subtracting Rational Numbers.

Section P-1 What are the properties of real numbers?

1 Warm-up Get your checklist from my desk. Get out your homework. Make sure it is done.

Do Now LT: I can identify the real set of numbers that has special subsets related in particular ways.

1.5 ADDING AND SUBTRACTING REAL NUMBERS I can find the sums and differences of real numbers.

September = = = =

 Real Numbers- any numbers that are real.  Rational Numbers- is a number where two numbers that can be written as a fraction.  Integers-can be written.

1.2 ADDING AND SUBTRACTING INTEGERS I can find the sums and differences of integers by using a number line or using SSA/DSS.

Irving Middle School1 Integers Warm-Up Answer the Essential Question: When and where must you be able to solve problems with positive and negative numbers.

FOCUS 4 PRE-ALGEBRA RATIONAL NUMBER OPERATIONS ADDITION & SUBTRACTION 7.NS.1.A-D, 7.NS.3, 7.EE3.

1-1 Properties of Real Numbers

1-5 Adding Integers There are three parts to today's lesson: Adding positive integers Adding negative integers Adding a positive integer and a negative.

Evaluating Algebraic Expressions 1-5Subtracting Integers NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating.

Properties of Real Numbers Algebra A Unit 1, Lesson 4.

The Set of Real Numbers Honors Math – Grade 8.

-(-7.2) 1-(-3) -9+(-4.5) (-3.4)(-2) -15/3 -2/5 + 3/-5

Chapter 2 Properties of Real Numbers VOCABULARY. Absolute Value  The distance from zero on the number line and the point representing a real number on.

Warm Up (3 + 6) = (4 + 3) a(b – c) = ab – ac = 0 4. (ab)c = (ac)b = 5 6. Name each property Answers 1.Associative property.

Properties for Real Numbers Rules that real numbers follow.

1.2 Properties of Real Numbers Activity

Evaluating Algebraic Expressions 1-4Adding Integers NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals)

Ch 3.1 Add and Subtract Signed Numbers Vocabulary Op posites :2 numbers the same distance from 0 but in opposite directions

Real Numbers Chapter 1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-1.

Algebra 1: Topic 1 Notes.

1-1 Properties of Real Numbers Big Idea: -Graph, order, identify, and use properties of real numbers.

Numbers Sets Natural Numbers – Counting numbers. Does not include 0 (example: 1,2,3,4…) Whole Numbers – All Natural numbers and the number zero (example:

Integers, Rational Numbers and Models Review

7 th Grade Math Vocabulary Word, Definition, Model Emery Unit 1.

OPERATIONS WITH INTEGERS, ADDING AND SUBTRACTING RATIONAL NUMBERS Objective: To add, subtract, multiply, and divide integers, to compare and order rational.

September 14, 2015 What are we doing today? Activity 1.1 – Integers and Absolute Values - Review and Correct Activity Adding Integers (Pg. 8) - Journal.

Number Systems Review. 6 th Grade Bell Work 4/12 1. reciprocal 2. multiplicative inverse 3. visual fraction model 4. multi-digit 5. greatest common factor.

INTEGERS Absolute Value Numbers and the Number Line Addition Subtraction Multiplication and Division Add/Subtract Matrices.

Chapter 3, Lesson 3D Pages

WARM UP The least common denominator of the fractions and is

Adding, Subtracting, Multiplying, and Dividing Integers

Agenda Ticket in the Door Unit 1 Vocabulary Quiz Review (Kahoot!)

Warm-up, page 88..

Unit 1 Vocabulary Additive Inverse: Two numbers whose sum is 0 are additive inverses of one another. Example: 3/4 and – 3/4 are additive inverses of one.

08/14/2017 Ticket in the Door Agenda

Section 5.5 Real Numbers and Their Properties

1.1 Adding Integers with the Same Sign

Unit: Operations with Rational Numbers

Section 5.5 Real Numbers and Their Properties

Review of Integers and Solving Equations

Homework: maintenance sheet due Friday

08/13/2018 Ticket in the Door Agenda

Agenda 08/16/2018 Ticket in the Door D.E.A.R.!!!

Warm-up, page 88..

Presentation transcript:

FOCUS 5 PRE-ALGEBRA Rational Number Operations Multiplication & Division 7.NS.2.a, 7.NS.2.b, 7.NS.2.c, 7.NS.3, 7.EE.3

Setting Up Your Workbook- Table of Contents DateTitlePage # # # # # # # # # # #

Rational Number Operation Learning Goal Students will be able to apply the operations of multiplication and division to rational numbers and the Distributive Property. Students will be able to solve real world problems involving multiplication and division.

Today, my learning target is to… Use a number line/motion model to develop the relationship between repeated addition and multiplication with integers Develop and use algorithms for multiplying integers

7.NS.1 Vocab Terms Vocabulary TermsDefinition Negative Numbers#’s left of Zero (0), negative sign (-) Positive Numbers#’s right of Zero, positive sign (+) Opposites, or Number Pairs, are the same distance from zero but in opposite directions Integersare ALL positive and negative WHOLE #’s Rational NumbersRatio of 2 integers (like fractions); Repeating or terminating decimals Absolute Valuethe distance a number is from zero. Absolute value is ALWAYS Positive. Additive InverseWhat you add to a number to get zero. Ex: The additive inverse of -5 is 5 because = 0 The additive inverse of +5 is -5 because = 0 AlgorithmA finite number of steps or routines that detail how to solve a particular problem. Community PropertyThe addends can be added in any order and the sum is always the same

Number Line

Today, I achieved my learning target by… Using a number line/motion model to develop the relationship between repeated addition and multiplication with integers Developing and using algorithms for multiplying integers

Homework Finish class work as homework