Algebra II Lesson 1.4 – Word Problems.

Slides:

Advertisements

Similar presentations

LESSON 1.4 EVALUATING EXPRESSIONS

Advertisements

Variables and Expressions

ONE STEP EQUATIONS.

Lesson 1.3 Unit 1, Lesson 3. Set:A collection of distinct objects Elements:All of the objects that make up a set.

5.04 Solve equations using inverse relationships Vocabulary AreaPythagorean theorem Volumeadditive inverse Multiplicative inverse Radical expression.

WHAT ARE OPERATIONS ??? ALTHOUGH NUMBERS ARE THE MOST IMPORTANT PART OF MATH, WE WOULDN’T BE ABLE TO DO ANYTHING WITH THEM WITHOUT OPERATIONS! + - x.

CHAPTER Inequalities and so much more...

Warm Up 1. 14,000 is 2 % of what number? is 13% of what number? % of what number is 12? % of what number is 189? 560,

Variables and Expressions

1 Lesson More on the Order of Operations More on the Order of Operations.

Square Roots and Cube Roots

Numbers and Operations. Fractions as Part of Whole You and two of your friends order Pizza with eight slices. Write a fraction that shows one slice. Draw.

UNIT ESSENTIAL QUESTION How are number properties and Expressions used to represent situations And relationships? Unit one : EXPRESSIONS AND NUMBER PROPERTIES.

Lesson 8-1 Multiplying Monomials. Mathematics Standards -Number, Number Sense and Operations: Explain the effects of operations such as multiplication.

1. 2 INSTRUCTIONAL STRATEGIES FOR TEACHING QUANTITATIVE PROBLEM SOLVING LESSON GOALS  Perform addition, subtraction, multiplication, and division on.

$200 $400 $600 $800 $1000 Which expression represents “four less than the square root of a number”?

Finding an Inverse Function with a Table. Inverse Notation Original function Inverse function “Inverse of f(x)”

Inverse Operations ExpressionInverse Operation How do you get the variable by itself? x + 5 x x x ÷ 20 x3x3.

5 Minute Check Complete on the back of your homework (9 + 2) x ² ÷ ÷ 2 x 3².

7 th Grade Math Week of 9/15/14. Monday: Bell Work –25 = 7h + 3 Solve the equations TURN IN WORKBOOK PAGE 102!!

Using Scientific Notation in Multiplication and Division Lesson Two and Lesson Three.

Warm up Pick a number between Multiply by 8 Add 30 Minus 14

Algebra 1 Notes: Lesson 8-5: Adding and Subtracting Polynomials.

Unit 3 Lesson 2: Rational Expressions

Warm Up - Copy the following vocabulary words 1. Index: The number outside the radical symbol. 2. Radicand: is the number found inside a radical symbol,

Finding Square Roots Grade 8 Ms. Stewart COPY SLIDES WHEN YOU SEE THIS.

Project Suggestions  Give students squared paper and ask them to investigate each of the questions on the slides that follow.  It is likely to take 2-3.

Standard: Algebraic Functions 1.0 and 1.1 Students evaluate expressions with variables.

Tuesday, September 3 Make Sense of Problems & Persevere in Solving Them.

Notes: Monday, January 10 th Algebraic Expressions.

WHAT’S THE MISSING LETTER? Or How to solve Algebraic Equations 4y + 4 – y = y + 28 (they really won’t be this long)

Unit: 2 The Powers That Be. Unit Essential Question: How can rational and irrational numbers be expressed by exponents, square roots and scientific notation?

THE REAL NUMBERS College Algebra. Sets Set notation Union of sets Intersection of sets Subsets Combinations of three or more sets Applications.

CHAPTER P SECTION 1 NOTES.

Honors Pre-Calculus Appendix A1 Algebra Essentials.

Variable Relationships  Kerry Tracy Scientific Method 1. Ask a question or state a problem 2. Do background research 3. State a hypothesis 4. Test.

Announcements 3/5 Homework – Decimals Test Corrections due Friday New late policy for 6 th grade: -1 day late = -10 -after 1 day late = 50%

5 Minute Check Complete on the back of your homework (9 + 2) · ² ÷ ÷ 2 · 3².

Level34567 Place Value and Calculations 2 I can round whole numbers to the nearest 10, 100 or I can find multiples of any numbers up to 12. I can.

Two-Step Equations Lesson 7-1. Steps to Solving Equations 1. “Balance Out” To shift terms of an equation around the “=“ by addition or subtraction Goal:

Write as an Algebraic Expression The product of a number and 6 added to a.

Equations Solving Equations. How does one find a solution? Use Inverse Operations. Addition  Subtraction Multiplication  Division Square  Square.

5 Minute Check Find the simple interest rate to the nearest cent. Complete on the back of your homework. 1. $1000, 4%, 2 years 2. $500, 3%, 4 months 3.

160 as a product of its prime factors is 2 5 x 5 Use this information to show that 160 has 12 factors.

Variables and Expressions Order of Operations Real Numbers and the Number Line Objective: To solve problems by using the order of operations.

1.2 Algebraic Expressions and Models. In this lesson you will: Evaluate algebraic expressions, Simplify algebraic expressions by combining like terms,

Notes 2.1 Order of Operations PEMDAS If an expression has only numbers and symbols, it is a numerical expression. If it has a variable it is a variable.

Examples: = 9, so 9 – 4 = 5 3 x 4 = 12, so 12 ÷ 4 = 3

ALGEBRA I LESSON 4. DO NOW OBJECTIVES SWBAT EVALUATE EXPRESSIONS CONTAINING EXPONENTS AND SQUARE ROOTS. SWBAT SIMPLIFY NUMERICAL EXPRESSIONS USING THE.

Aim #P. 1 How do we evaluate algebraic expressions

Chapter 1, Lesson 1A Pages 25-28

Homework: Maintenance Sheet *

Lesson 9.1: Radicals (Square roots)

Square numbers When we multiply a number by itself we say that we are squaring the number. To square a number we can write a small 2 after it. For example,

Variables and Expressions

Algebra Review! Warm-up

isolate inverse opposite constants coefficients reciprocal subtraction

Lesson 8.12 Edge Lengths and Volumes

Warm-Up #12 (Monday, 9/28) Simplify 3(x+y) +5x -7

Write & Solve Equations

Variables and Expressions

Real Numbers and their Properties

Integers Graphic Organizer

7.2 Cube Roots Essential Question:

Estimate Roots Lesson #9 Pg. 241.

Bell Work For problem #1 state the 2 roots of the number, and problem #2 Estimate the value of the radical to the nearest 10th…

Bell Work For problem #1 state the 2 roots of the number, and problem #2 Estimate the value of the radical to the nearest 10th…

Estimate Roots Lesson #9 Pg. 241.

Bell Work For problem #1 state the 2 roots of the number, and problem #2 Estimate the value of the radical to the nearest 10th…

Find A Solution: Numbers & Operations

Presentation transcript:

Algebra II Lesson 1.4 – Word Problems

Oral Drill What is the policy regarding late homework? Squaring? What is an inverse operation? Taking the square root? What does GEMDAS stand for? Cubing? Why do we use GEMDAS instead of PEMDAS? Taking the 10th root? Moving one decimal place to the right? What is the inverse operation of addition? What is symbol for the union of sets? Subtraction? What is symbol for the intersection of sets? Multiplication? What is set notation? What does the intersection of a set mean? Division? What does the union of a set mean? X = {1, 2, 3, 4} Y = (3, 4, 5, 6} X ∪𝑌= ? What does the empty set mean? X ∩ 𝑌= ?

Annotations: 1. Read the entire problem without making any annotations. 2. Re-read the problem: First underline and annotate what the question is asking Then underline and annotate other important information Symbol Meaning ? What the question is asking Numbers and their units =  + - x < >   Operations and relationships x independent variable y dependent variable

Example #1: Before the market opens on Monday, a stock is priced at $25. If its price decreases $4 on Monday, increases $6 on Tuesday, and then decreases $2 on Wednesday, what is the final price of the stock on Wednesday?

Example #2: John can shovel a certain driveway in 50 minutes. If Mary can shovel the same driveway in 20 minutes, how long will it take them, to the nearest minute, to shovel the driveway if they work together?

Example #3: A student has a debit card with a prepaid amount of $270 to use for school lunches. The cafeteria charges $4.50 per lunch. Write an expression for the balance on the card after buying x lunches. Does your expression make sense for all positive integer values of x? Explain