PERFECT SQUARES What does that mean?. SQUARE  You could make a list of “perfect squares” by thinking of numbers of objects where these objects could.

Slides:

Advertisements

Similar presentations

Things that Come in Arrays

Advertisements

4.1 Introduction to Matrices

Objective: You will learn how to determine if a number is a perfect square and how to find the square root of perfect squares.

The Checkerboard Problem.

Lesson 1: Factors and Multiples of Whole Numbers

Maths for Computer Graphics

= 9 = 8 = 12 = 19 = 2 = 3 = 17 = 5 = 11 = 5.

100’s of free ppt’s from library

Factoring Polynomials Because polynomials come in many shapes and sizes, there are several patterns you need to recognize and there are different methods.

Measures of dispersion Standard deviation (from the mean) ready.

Determinants 2 x 2 and 3 x 3 Matrices. Matrices A matrix is an array of numbers that are arranged in rows and columns. A matrix is “square” if it has.

A hands on approach to completing the square Completing the Square with Algebra Tiles.

13.1 Matrices and Their Sums

Radical Expressions Objective: Simplify radical expressions.

( + ) ÷ ( + ) = ( + ) ( – ) ÷ ( – ) = ( + ) Simplify the following. ( + ) ÷ ( – ) = ( – ) ( – ) ÷ ( + ) = ( – ) 1) – 54 ÷ ( – 9 )= 6 2) – 48 ÷ 6= – 8 3)

PERFECT CUBES What does that mean?. CUBE  We could make a list of “perfect cubes” by thinking of numbers of objects where these objects could be arranged.

Simplifying Square Roots Simplifying Square Roots.

Completing the Square 4-6 Day 1 Today’s Objective: I can use the process of completing the square to solve or rewrite a quadratic equation.

Radical Basics We will work with square roots, thus, you do not need to write the index. The index for square roots is 2.

Factoring General Trinomials Factoring Trinomials Factors of 9 are: REVIEW: 1, 93, 3.

Powers and roots. Square each number a) 7 b) 12 c) 20 d) 9 e) 40 a) 49 b) 144 c) 400 d) 81 e) 1600.

Matrices: Simplifying Algebraic Expressions Combining Like Terms & Distributive Property.

 6. Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships related in a network.  7. Multiply matrices.

Square and Cube Roots MRS. RAUCH. How do we square a number?  Can we square negative numbers?

Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.

The #’s 1, 4, 9, 16, 25.…are called. The #’s 1, 4, 9, 16, 25.…are called perfect squares / square numbers.

Square 12 3 No 4 How many tiles needed to make the next square 9 Notice the number of tiles is the area of that shape The number of tiles that form a.

Squares and square roots INTRODUCTION Numbers like,1,4,9,16,25 are known as square numbers If a natural number m can be expressed as n 2 where n is also.

All standards and examples can be found at atics/2014-ias-mathematics-resources-grade_7_7-1-

NUMBER THEORY. ARRAY A set of objects (or numbers) ARRANGED in rows and columns.

Algebra Completing the Square. Solving with Square Roots.

$200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200 $400 $600 $800 $1000 $200.

Exponents Math 7 Powerpoint. Location of Exponent An An exponent is a little number high and to the right of a regular or base number. 3 4 Base Exponent.

Factor the expression z2 − y x2 − x2 + 28xy + 4y2

SPECIFIC OUTCOME #1: Determine the value of each square root: a. 9

Matrix Operations Free powerpoints at

Matrix Operations.

Things that Come in Arrays

Simplifying 1 + 2a + b + 1 a + b a + b + 1 2a b + a + b

THE AREA OF A CIRCLE An introduction to approximating the area of a circle.

Matrix Operations.

Matrix Operations Free powerpoints at

Perfect Squares & Estimating Square Roots

Matrix Operations Monday, August 06, 2018.

Matrix Operations.

Matrix Operations Free powerpoints at

Factoring Using Special Patterns

SHAPE & SPACE Squares & Square Roots.

Squares & Square Roots Perfect Squares.

Solving Quadratic Equations

Why do you learn square roots?

Dark blue outline, 3 pt weight

Objective: Today we will investigate the ‘magic’ in magic squares.

Special Problems (Solve)

Simplifying 1 + 2a + b + 1 a + b a + b + 1 2a b + a + b

Matrix Multiplication

Magic Squares 10 X.

Calendar like the Periodic Table

Squares and square roots

Some perfect squares can be factored more than one way

Square root Least number Multiply & Divide.

3.5 Perform Basic Matrix Operations

3.6 Multiply Matrices.

Chapter 4 Matrices & Determinants

Matrix A matrix is a rectangular arrangement of numbers in rows and columns Each number in a matrix is called an Element. The dimensions of a matrix are.

Factoring Special Products

Presentation transcript:

PERFECT SQUARES What does that mean?

SQUARE  You could make a list of “perfect squares” by thinking of numbers of objects where these objects could be arranged in a square. For example: 1, 4, 9, 16, 25, 36, 49, etc. objects could be arranged in the shape of a square. If one had 25 pennies, those pennies could be arranged in a square of 5 rows and 5 columns of pennies. Thus, perfect squares obtain their name.

Squares and Square Roots Notice that 16 objects can be arranged into a square of 4 rows and 4 columns. Note the relationship between the square and the square root. 16 is the “perfect square.” The square root of 16 is 4. The root gives the dimensions of the square. The total number of objects in the square is the perfect square.