1-1 Patterns and Expressions

Slides:

Advertisements

Similar presentations

Entry Task. Chapter Homework Log sheet Remember start on Tuesday Mark Monday as labor day or no school Each box must have something in it Fill in learning.

Advertisements

1-1 Patterns and Expressions

ALGEBRA 2 Chapter 1: Essential Questions

Variables and Expressions

Variables and Expressions As people age, their blood pressure rises. You can approximate a person’s normal systolic blood pressure by dividing his/her.

 It is the numerical factor that contains a variable.  In other words, it is a number in a math sentence that has a letter right by it.

BY: MILES JUSTIS AND CAMERON WILLIAMS Equations and functions

Identify and describe patterns by explaining its properties.

Solving One Step Equations and Inequalities Math 7/8.

Algebra 1 Chapter 4 Section 3.

Unit 6 vocabulary Test over words next week, it will benefit you to study and understand what there words mean.

Algebra By : Monte. Term The number or an Expression that are added in a sum.

Equations and Inequalities. Equation – A sentence stating that two qualities are equal. Includes a variable – 3x + 5 = 17 Equation variable The solution.

EXPRESSIONS. Vocabulary A variable is a symbol, usually a letter, used to represent a number. –Example: 4x (x is the variable) A coefficient is the number.

Lesson 1.1 Using Variables. 1.1 – Using Variables Goals / “I can…” Model relationships with variables Model relationships with equations.

Students will be able to: Translate between words and algebra; Evaluate algebraic expressions and use exponents. Objectives 1.1.

Algebra II.  To identify & describe patterns  Constants – quantities whose values do not change  Variable Quantities – quantities whose values change.

VARIABLES & EXPRESSIONS Section 1.1. Quantity Anything that can be measured or counted.

1.1 Variable and Expressions: Quantity: Anything that can be measured or counted. Variable: A symbol, usually a letter, used to represent the value of.

Patterns and Relationships. Graphing Relations A graph can also be used to show the relationship between two quantities The relation is used to create.

Chapter 1: Variables in Algebra

1-1 Variables and Expressions. Quantity: Anything that can be measured or counted Variable: a symbol, usually a letter, that represents the value(s) of.

Evaluating Expressions

4-2 Patterns and Functions. In a relationship between variables, the dependent variable changes in response to another variable, the independent variable.

Chapter 1: Variables, Function Patterns, and Graphs 1.1 Using Variables.

1-1 Patterns and Expressions Goal: Identify and Describe Patterns Honors Algebra II.

Unit 1 – First-Degree Equations and Inequalities

I CAN DETERMINE WHETHER A RELATION IS A FUNCTION AND I CAN FIND DOMAIN AND RANGE AND USE FUNCTION NOTATION. 4.6 Formalizing Relations and Functions.

ALGEBRA VOCABULARY. Vocabulary: Expression Definition: A math phrase built from constants, variables and operations EXAMPLE: 3X - 2Y.

Addition and Subtraction Expressions SWBAT to write word expressions as numerical expressions and vice versa; to write word expressions as algebraic expressions.

Entry Task LT: I can identify and describe patterns.

Warm-Up Activity Fold your notecard lengthwise Write your name (in large letters) on blank side so it can be on your desk On the lined side of the notecard,

Algebra 1 Foundations, pg 150 Focus Question How do you write inequalities?  You can use the symbol ______________ to compare two expressions.  Students.

Algebraic Expressions 1. Objective: Translate among different representations of algebraic expressions, equations and inequalities Essential Question:

Patterns and Expressions Lesson 1-1

Texas Essential Knowledge and Skills The student is expected to: Expressions, equations, and relationships—6.6.C Represent a given situation using verbal.

Algebra 1 Section 4.2 Graph linear equation using tables The solution to an equation in two variables is a set of ordered pairs that makes it true. Is.

Section Setting Up Word Problems. Lesson Objective: Students will: Learn to set up the type of complicated word problems that are often found in.

AF 1.1 Write equations using variables. Definitions Variable – A variable is a letter or symbol that represents a number (unknown quantity). 8 + n = 12.

Sections 1.1: Patterns and Expressions  Goal: To identify and describe patterns.

Rational and Irrational Numbers

Variables and Expressions

Variables and Expressions

How do you model relationships with variables and equations?

Algebra 2 Welcome to Mrs. Tiratira.

Equalities Inequalities < Is less than = Equals- is the same as

Chapter 1 Vocabulary 1.) variable 2.) algebraic expression

Lesson 1.1 How do you evaluate algebraic expressions and powers?

Algebra Vocabulary.

ALGEBRA. ALGEBRA VARIABLES AND EXPRESSIONS Algebra – Uses symbols to represent quantities that are unknown or that vary. You can represent mathematical.

Warm Up Divided by Difference More than Product Minus Sum

Variables and Expressions

Translating Algebraic Expressions

Patterns and Expressions

A symbol, usually a letter, that represents one or more numbers

Reviewing Chapter 1 (Part 1)

Evaluating Algebraic Expressions

Translating Algebraic Expressions

Algebra: Equations & Patterns

Variables and Expressions 1-1

Algebraic Expression A number sentence without an equal sign. It will have at least two terms and one operations.

L1-4 Algebra 2.

Evaluating Algebraic Expressions

Evaluating Algebraic Expressions.

Chapter 1 – Sections 1, 2 and 3 Writing algebraic expressions

Section 1-1: Using Variables

Vocabulary Algebraic expression Equation Variable

4-2 Patterns and Functions

Lesson 3.3 Writing functions.

Presentation transcript:

1-1 Patterns and Expressions Algebra 2

Identifying Patterns Patterns can be represented using words, diagrams, numbers, or algebraic expressions. What is the next figure? Algebra 2

Look at the figures from right to left. What is the pattern? Algebra 2

Try this on your own. Draw the next figure. Algebra 2

Numerical Pattern What is the next number in the pattern 2, 4, 6, 8, …. 6, 3, 0, -3, …. Algebra 2

Variable- a symbol, usually a letter that represents one or more numbers ex: x or n Numerical Expression- mathematical phrase that contains numbers and operation symbols. ex: 3+5 Algebraic Expressions- mathematical phrase that contains one or more variables ex: 3n+5 What is the only difference between an algebraic and a numerical expression? Algebra 2

Using Tables to help identify patterns Input Process Column Output 1 2 3 4 5 n Algebra 2

Input Process Column Output 1 5 2 9 3 13 4 17 n Algebra 2

Expressing a Pattern with Algebra How many toothpicks are in the 20th figure? Figure Number (Input) Process Column Number of Toothpicks (output) 1 1(4) 4 2 2(4) 8 3 3(4) 12 n What is an expression that describes the number of toothpicks in the nth figure? You can use a table to look for a pattern that relates the figure number to the number of toothpicks Algebra 2

Patterns on Graphs What is the cost of purchasing 5 DVD’s? 10 DVD’s? 1 The graph shows the cost depending on the number of DVDs that you purchase. What is the cost of purchasing 5 DVD’s? 10 DVD’s? Input (x value) Process Column Output (y-value) 1 16 2 32 Algebra 2

Section 1-1 Overview Patterns- look at the figures or numbers from left to right and identify the pattern. Variables are used in math to represent an unknown number in equations and inequalities. Using Input/Output tables can help you find patterns. Algebra 2