Positive Numbers and the Number Line

Slides:



Advertisements
Similar presentations
6 th VOCABULARY Helpful resources: glossary in the back of the book
Advertisements

Greatest Common Factor (GCF) and Least Common Multiple (LCM)
Chapter 2 Practice Test Mastery Test A
Bellwork 75÷15 21÷7 75÷25 72÷9 85÷5 132÷11 28÷7 144÷12 24÷6 180÷15.
Least Common Multiple (LCM) of
EXAMPLE 4 Finding the GCF of Monomials
GREATEST COMMON FACTOR
Factoring by Grouping.  1. If possible, factor out a GCF of all FOUR terms.  2. If necessary, rearrange so that the first 2 terms have a common factor.
Finding GCF’s and LCM’s
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Section 6.1 Removing a Common Factor.
Unit 2: Factoring Part I MM 218 McGrath. Vocubulary A factor is a number, variable, or algebraic expression multiplying another number, variable or algebraic.
Recall: By the distributive property, we have x ( x + 2 ) = x² + 2x Now we’re given a polynomial expression and we want to perform the “opposite” of the.
11.1 – The Greatest Common Factor (GCF)
EXAMPLE 1 Finding the Greatest Common Factor Find the greatest common factor of 56 and 84. SOLUTION STEP 1 Write the prime factorization of each number.
Lesson 10-1: Factors & Greatest Common Factor (GCF)
Factoring Polynomials Expressions and Equations. Factoring Polynomials Factoring polynomials is the opposite of multiplying them… It’s backwards multiplication.
Unit 6 Factoring Polynomials  Greatest Common Factor  Factoring by Grouping (Four Terms)  AC Method (3 Terms)  Difference of Two Squares (2 Terms)
Lesson 2-2 Example Use the Commutative and/or Associative Properties to find the sum mentally Step 1 Look for two numbers whose sum is.
Goal: Find the greatest common factor of two or more numbers.
And the Distributive Property.  You previously learned about the distributive property, but in case you have forgotten about it…  Given two terms, the.
5-4 Factoring Quadratic Expressions M11.A.1.2.1: Find the Greatest Common Factor and/or the Least Common Multiple for sets of monomials M11.D.2.1.5: Solve.
Factoring Polynomials
FACTORS Lesson 6. Math Vocabulary Factors: All the smaller numbers that go INTO a given number GCF: Greatest Common Factor (GCF) The biggest small number.
Find common and binomial factors by using a table.
I CAN factor numerical expressions. I CAN factor algebraic expressions
5-4 Factoring Quadratic Expressions Big Idea: -Factor polynomials representing the difference of squares, perfect square trinomials, and the sum and difference.
4-3 Equivalent Expressions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
Table of Contents Factoring – Greatest Common Factor When factoring out the greatest common factor (GCF), determine the common factor by looking at the.
Factoring – Common Binomial Factor When factoring out the greatest common factor (GCF), sometimes there is a common binomial factor. In the following expression.
How can you find the greatest common factor of two numbers?
Least Common Multiple Greatest Common Factor
The Distributive Property Standard: Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum.
§5.4 Part 1 GCF Objectives: - Factor out the GCF of an expression.
8.2: Multiplying and Factoring. Warm-up:  Greatest Common Factor (GCF)  The greatest factor that divides evenly into each term of an expression  Find.
Math 71A 5.3 – Greatest Common Factors and Factoring by Grouping 1.
Rewrite Addition Problems as Multiplication Problems using the Distributive Property 6.NS.4 Quick Code LZ2581 Sadlier 6-5A 1/2014.
Factoring Quadratic Expressions Lesson 4-4 Part 1
4-3 Equivalent Expressions Learn factor numerical and algebraic expressions and write equivalent numerical and algebraic expression.
Greatest Common Factor
1-5 B Factoring Using the Distributive Property
8 Greatest Common Factor
Introduction to Factoring
Factoring By Grouping and Cubes.
Multiplication table. x
GCF (greatest common factor) & LCM (least common multiple)
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Warm Up Find the GCF of each set of numbers and , 45 and 30
Positive Numbers and the Number Line
5-4 Factoring Quadratic Expressions
GCF (greatest common factor) & LCM (least common multiple) Click on the link below to access videos:
8 Greatest Common Factor
Positive Numbers and the Number Line
The Distributive Property
Algebraic Expressions
L.C.M (Lowest Common Multiple) & G.C.F (Greatest Common Factor)
Unit 4. Day 4..
Factoring Special Cases
Factoring Using the Distributive Property
Find the greatest common factor of two or more numbers
Factoring EX: (22x – 4) = 2(11x – 2)
Equivalent Expressions
Multiplying Fractions
equivalent expression
Factoring.
Greatest Common Factor
Factoring Quadratic Expressions
GCF other factor of 36 other factor of 42
Writing Sums AS PRODUCTS & PRODUCTS as Sums
The Distributive Property
Presentation transcript:

Positive Numbers and the Number Line

Unit 1 – Factoring Sums

Vocabulary Factor (verb) – to express as a product of two or more factors.

Factoring Sums Procedure Step 1: Find the GCF of the numbers in the sum Step 2: Rewrite the original numbers as a multiplication table using the GCF Step 3: Pull out the common factor and rewrite the remaining factors as a sum (This will become more clear after we do a few examples…I promise)

Factoring Sums Example Factor the following sum 18 + 45 Step 1: The GCF is 9 Step 2: 18 9 × 2 45 9 × 5 Step 3: 9(2 + 5)

Factoring Sums Example Express the sum of each pair of numbers as a product of the greatest common factor of the number and another sum 35 + 21 Step 1: The GCF is 7 Step 2: 35 7 × 5 45 7 × 3 Step 3: 7(5 + 3)

Factoring Sums Example Express the sum of each pair of numbers as a product of the greatest common factor of the number and another sum 48 + 60 Step 1: The GCF is 12 Step 2: 48 12 × 4 60 12 × 5 Step 3: 12(4 + 5)

Independent Practice Express the sum of each pair of numbers as a product of the greatest common factor of the numbers and another sum. 35 + 91 7(5 + 13) 60 + 85 5(12 + 17) 24 + 64 8(3 + 8) 21 + 18 3(7 + 6)