2-2 Adding Integers. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes
|
|
|
- Margery Carter
- 5 years ago
- Views:
Transcription
1 Warm Up Problem of the Day Lesson Presentation Lesson Quizzes
2 Warm Up Find each absolute value
3 Problem of the Day Jan s yearly salary is $30,000, and it will be increased by $3,000 each year. Phil s salary is $20,000, and it will be increased by $5,000 each year. In how many years will Jan and Phil both have the same yearly salary?
4 Learn to add integers.
5 Additional Example 1A: Modeling Integer Addition Use a number line to find each sum. 7 + ( 4) +( 4) Start at 0. Move left 7 spaces. Then move left 4 more spaces. 7 + ( 4) = 11
6 Additional Example 1B: Modeling Integer Addition Use a number line to find each sum Start at 0. Move left 12 spaces. Then move right 19 spaces = 7
7 Check It Out: Example 1A Use a number line to find each sum. 4 + ( 5) +( 5) Start at 0. Move left 4 spaces. Then move left 5 more spaces. 4 + ( 5) = 9
8 Check It Out: Example 1B Use a number line to find each sum Start at 0. Move left 7 spaces. Then move right 12 spaces = 5
9 Adding Integers To add two integers with the same sign, find the sum of their absolute values. Use the sign of the two integers. To add two integers with different signs, find the difference of their absolute values. Use the sign of the integer with the greater absolute value.
10 Additional Example 2A: Adding Integers Using Absolute Values Find each sum The signs are different. Find the difference of the absolute values Think: 8 4 = 4. Use the sign of the integer with the greater absolute value.
11 Additional Example 2B: Adding Integers Using Absolute Values Find each sum ( 35) The signs are different. Find the difference of the absolute values ( 35) 12 Think: = 12. Use the sign of the integer with the greater absolute value.
12 Check It Out: Example 2A Find each sum The signs are different. Find the difference of the absolute values Think: 5 3 = 2. 2 Use the sign of the integer with the greater absolute value.
13 Check It Out: Example 2B Find each sum ( 24) The signs are the same. Find the sum of the absolute values ( 24) 37 Think: = 37. Use the sign of the two integers.
14 Additional Example 3: Evaluating Expressions with Integers Evaluate x + y for x = 42, y = 71. x + y Substitute for x and y The signs are different. Think = 29 Use the sign of the integer with the greater absolute value (positive). Helpful Hint When adding integers, think: if the signs are the same, find the sum. If the signs are different, find the difference.
15 Check It Out: Example 3 Evaluate x + y for x = 24, y = 17. x + y Substitute for x and y. The signs are different. Think: = 7. Use the sign of the integer with the greater absolute value (negative).
16 Additional Example 4: Application The jazz band s income from a bake sale was $286. Expenses were $21. Use integer addition to find the band s total profit or loss ( 21) Use negative for the expenses. Find the difference of the absolute values. The answer is positive. The band earned $265.
17 Check It Out: Example 4 The French Club was raising money for a trip to Washington D.C. Their car wash raised $730. They had expenses of $52. Use integer addition to find the club s total profit or loss ( 52) The club earned $678. Use negative for the expenses. Find the difference of the absolute values. The answer is positive.
18 Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems
19 Lesson Quiz: Part I Use a number line to find the sum ( 6) Find each sum ( 9) ( 3) 4. Evaluate x + y for x = 2 and y = 15.
20 Lesson Quiz: Part II 5. The math club s income from a bake sale was $217. Advertising expenses were $32. Use integer addition to find the club s total profit or loss?
21 Lesson Quiz for Student Response Systems 1. Identify the number line that helps to find the sum. 5 + ( 4) A. 1 B. 9
22 Lesson Quiz for Student Response Systems 2. Identify the sum ( 8) A. 36 B. 0 C. 36 D. 52
23 Lesson Quiz for Student Response Systems 3. Identify the sum ( 5) A. 23 B. 13 C. 0 D. 23
24 Lesson Quiz for Student Response Systems 4. Evaluate x + y for x = 5 and y = 17. A. 22 B. 12 C. 12 D. 22
25 Lesson Quiz for Student Response Systems 5. The cost of a guitar is $456. Helen has $178 with her. Use integer addition to identify how much more money she needs to buy the guitar. A. $296 B. $278 C. $196 D. $116
Geometric Sequences. Geometric Sequences. Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Algebra 1
Warm Up Lesson Presentation Lesson Quiz Algebra 1 Warm Up Find the value of each expression. 1. 2 5 32 2. 2 5 3. 3 4 81 4. ( 3) 4 81 5. (0.2) 3 0.008 6. 7( 4) 2 112 7. 8. 12( 0.4) 3 0.768 Objectives Recognize
Unit 1 Lesson 5: Equivalent Expressions
Unit 1 Lesson 5: Equivalent Expressions Objective: Students will be able to prove expressions are equivalent using substitution or the properties of real numbers. CCSS: N.RN.3, A.SSE.1.a Example Problems
6.7. Graph Linear Inequalities in Two Variables. Warm Up Lesson Presentation Lesson Quiz
6.7 Graph Linear Inequalities in Two Variables Warm Up Lesson Presentation Lesson Quiz 6.7 Warm-Up Tell whether the ordered pair is a solution of the equation. 1. x + 2y = 4; (2, 1) no 2. 4x + 3y = 22;
Math Notes and Example Problems Lesson 2.1 Integers
Name Warm-up: Math Notes and Example Problems Lesson 2.1 Integers Textbook p. 46-47 Today s Goal: Learn to compare and order integers and to determine absolute value. The, or additive inverse, of a number
Answers for Lesson 4-1, pp
Answers for Lesson -, pp. 0 0. yes. no. yes. yes 5. no 6. yes 7. no 8. yes Exercises 9. a. no b. no c. yes 0. a. yes b. no c. yes. a. no b. no c. no. a. yes b. no c. no. a. no b. yes c. no. a. no b. no
4-8 Similar Figures and Proportions. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Find the cross products, and then tell whether the ratios are equal. 1. 16, 40 6 15 2. 3. 3 8, 18 46 8, 24 9 27 4. 28, 42 12 18 240
1-3 Multiplying and Dividing Real Numbers
Multiplying and Dividing 1-3 Multiplying and Dividing Real Numbers Real Numbers Warm Up Lesson Presentation Lesson Quiz 1 2 pts Bell Quiz 1-3 Add or Subtract 1. 3 8 2 pts 2. - 8 + 12 2 pts 3. 4 (-4) 2
Seventh Grade Spiraling Review Week 1 of First Six Weeks
Week of First Six Weeks Note: Record all work in your math journal. Day Indicate if each of the given numbers below is equivalent to, less than, or greater than. Justify each response. 0.0, 0 4.7, %,,
2-9 Operations with Complex Numbers
2-9 Operations with Complex Numbers Warm Up Lesson Presentation Lesson Quiz Algebra 2 Warm Up Express each number in terms of i. 1. 9i 2. Find each complex conjugate. 3. 4. Find each product. 5. 6. Objective
Topic 1. Mrs. Daniel Algebra 1
Topic 1 Mrs. Daniel Algebra 1 Table of Contents 1.1: Solving Equations 2.1: Modeling with Expressions 2.2: Creating & Solving Equations 2.3: Solving for Variable 2.4: Creating & Solving Inequalities 2.5:
1-3 Variables and Algebraic Expressions. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes Warm Up Evaluate. 1. 5(7) 1 2. 7(18 11) 3. 22 + 17 8 + 3 4. 36 + 15(40 35) 5. 3 3 + 7(12 4) Problem of the Day If charged per cut, how much
3.1 Start Thinking. 3.1 Warm Up. 3.1 Cumulative Review Warm Up. Consider the equation y x.
3.1 Start Thinking Consider the equation y x. Are there any values of x that you cannot substitute into the equation? If so, what are they? Are there any values of y that you cannot obtain as an answer?
Algebra 2 Notes Systems of Equations and Inequalities Unit 03b. Optimization with Linear Programming
Optimization with Linear Programming Big Idea Linear programming is one of the most practical uses of mathematics in the real world. The inequalities of the system represent the constraints in the problem
DLA Review Printable Version
1. In the equation y = 7x + 3, as the value of x decreases by 1, what happens to the value of y?. A cell phone company charges $.00 a month plus an additional $0.10 per call. A competitor charges $10.00
Chapter 1: Foundations for Algebra
Chapter 1: Foundations for Algebra Dear Family, The student will follow the order of operations, a set of rules that standardize how to simplify expressions. Order of Operations 1. Perform operations within
Adding Integers. Unit 1 Lesson 6
Unit 1 Lesson 6 Students will be able to: Add integers using rules and number line Key Vocabulary: An integer Number line Rules for Adding Integers There are two rules that you must follow when adding
Express Math. Simplifying Expressions Using Distributive Properties. Learning Goals. Key Terms. Essential Ideas
Express Math Simplifying Expressions Using Distributive Properties Learning Goals In this lesson, you will: Write and use the distributive properties. Use distributive properties to simplify expressions.
Lesson Plan -- Multiplying and Dividing Integers
Lesson Plan -- Multiplying and Dividing Integers Chapter Resources - Lesson 3-9 Multiply Integers - Lesson 3-9 Multiply Integers Answers - Lesson 3-10 Divide Integers - Lesson 3-10 Divide Integers Answers
Integers and Rational Numbers
A A Family Letter: Integers Dear Family, The student will be learning about integers and how these numbers relate to the coordinate plane. The set of integers includes the set of whole numbers (0, 1,,,...)
The graph of the region that shows the number of packages of each item Kala can purchase is
2. Solve each system of inequalities by graphing. The graph of the system of inequalities is 4. CCSS REASONING The most Kala can spend on hot dogs and buns for her cookout is $35. A package of 10 hot dogs
Chapter 1: Variables, Expressions, and Integers
Name: Pre-Algebra Period: 8 Chapter 1: Variables, Expressions, and Integers Outline 1.1: p. 7 #12-15, 20-27, 32, 33, 34, 36 Date 1.2: p. 12 #16-20, 25-28, 30, 31, 36 1.3: p. 19 #10-18, 21-25, 31 1.4: p.
GRADE 7 MATH LEARNING GUIDE
GRADE 7 MATH Lesson 9: Properties of the Operations on Rational Numbers Time:.5 hours Pre-requisite Concepts: Operations on rational numbers About the Lesson: The purpose of this lesson is to use properties
A theme park charges $12 entry to visitors. Find the money taken if 1296 people visit the park.
Write an Equation An equation is a term used to describe a collection of numbers and variables related through mathematical operators. An algebraic equation will contain letters that relate to real quantities
Identifying Slope and y-intercept slope y = mx + b
Practice 1 Identifying m and b Identifying Slope and y-intercept slope y = mx + b y-intercept 1 1. For each of the following, identify the slope and y-intercept, OR use the slope and y-intercept to write
Integers and Absolute Value. Unit 1 Lesson 5
Unit 1 Lesson 5 Students will be able to: Understand integers and absolute value Key Vocabulary: An integer Positive number Negative number Absolute value Opposite Integers An integer is a positive or
Roberto Clemente Middle School
Roberto Clemente Middle School For Students Entering Investigations into Mathematics Name: Rename Fractions, Percents, and Decimals To convert fractions into decimals, we start with a fraction, such as,
Activity One: Getting started with linear programming. This problem is based on a problem in the Algebra II Indicators for Goal 1.
Linear Programming Goals: 1. Describe graphically, algebraically, and verbally real-world phenomena as functions; identify the independent and dependent variables (3.01) 2. Translate among graphic, algebraic,
Math 3A Meadows or Malls? Review
Math 3A Meadows or Malls? Review Name Linear Programming w/o Graphing (2 variables) 1. A manufacturer makes digital watches and analogue (non-digital) watches. It cost $15 to make digital watch and $20
1-6 Order of Operations
1-6 Order of Operations Warm Up Lesson Presentation Lesson Quiz 2 pts 3 pts Bell Quiz 1-6 Find each square root. 1. 25 Write all classifications that apply to each real number. 3. -55 5 pts possible Questions
Algebra 8 Final Exam Review Packet
Algebra 8 Final Exam Review Packet Name: Period: Date: The final will be 20 multiple-choice questions. You will have one class period to complete it. You may use a non-graphing calculator. What you need
Page 1 CCM6 Unit 10 Graphing UNIT 10 COORDINATE PLANE. CCM Name: Math Teacher: Projected Test Date:
Page 1 CCM6 Unit 10 Graphing UNIT 10 COORDINATE PLANE CCM6 2016-17 Name: Math Teacher: Projected Test Date: Main Concept Page(s) Vocabulary 2 Coordinate Plane Introduction graph and label 3-6 Reflect across
i) Natural numbers: Counting numbers, i.e, 1, 2, 3, 4,. are called natural numbers.
Chapter 1 Integers Types of Numbers i) Natural numbers: Counting numbers, i.e, 1, 2, 3, 4,. are called natural numbers. ii) Whole numbers: Counting numbers and 0, i.e., 0, 1, 2, 3, 4, 5,.. are called whole
Students interpret the meaning of the point of intersection of two graphs and use analytic tools to find its coordinates.
Student Outcomes Students interpret the meaning of the point of intersection of two graphs and use analytic tools to find its coordinates. Classwork Example 1 (7 minutes) Have students read the situation
Lesson 20: Solution Sets to Equations with Two Variables
Student Outcomes Students recognize and identify solutions to two variable equations. They represent the solution set graphically. They create two variable equations to represent a situation. They understand
6. 4 Transforming Linear Functions
Name Class Date 6. Transforming Linear Functions Essential Question: What are the was in which ou can transform the graph of a linear function? Resource Locker Eplore 1 Building New Linear Functions b
Warm-Up Activity. Knowing that "H" is equal to 10, and T is half of M, how could MATH be 42, TEAM be 40, and MEET be 37?
Warm-Up Activity Felipe's school is hosting a math competition against other schools in the same district. Each school can only allow 10 students to compete. Felipe and his classmates are taking tests
Exponential Equations
Exponential Equations Recursive routines are useful for seeing how a sequence develops and for generating the first few terms. But, as you learned in Chapter 3, if you re looking for the 50th term, you
April 25, Lesson 8.2B
Lesson 8.2B Content Objective: I can substitute a number in for a variable and solve for the expression I can turn word problems into expressions, equations, and inequalities and solve for the variable.
10-2 Circles. Warm Up Lesson Presentation Lesson Quiz. Holt Algebra2 2
10-2 Circles Warm Up Lesson Presentation Lesson Quiz Holt Algebra2 2 Warm Up Find the slope of the line that connects each pair of points. 1. (5, 7) and ( 1, 6) 1 6 2. (3, 4) and ( 4, 3) 1 Warm Up Find
2.) = 7.) Find the unit rate of 6 miles in 20 minutes. 4.) 6 8 = 8.) Put in simplified exponential form (8 3 )(8 6 )
Warm Up Do you remember how to... 1.) 3 + 9 = Wobble Chairs: Braden, Weston, & Avalon 6.) Put 3,400,000 in scientific notation? 2.) 2 + 8 = 7.) Find the unit rate of 6 miles in 20 minutes. 3.) 2 17 = 4.)
Specific Objectives Students will understand that that the family of equation corresponds with the shape of the graph. Students will be able to create a graph of an equation by plotting points. In lesson
Simplifying Expressions
Unit 1 Beaumont Middle School 8th Grade, 2017-2018 Math8; Intro to Algebra Name: Simplifying Expressions I can identify expressions and write variable expressions. I can solve problems using order of operations.
Essential Questions. Key Terms. Algebra. Arithmetic Sequence
Linear Equations and Inequalities Introduction Average Rate of Change Coefficient Constant Rate of Change Continuous Discrete Domain End Behaviors Equation Explicit Formula Expression Factor Inequality
Advanced Algebra I Simplifying Expressions
Page - 1 - Name: Advanced Algebra I Simplifying Expressions Objectives The students will be able to solve problems using order of operations. The students will identify expressions and write variable expressions.
1. Expand and simplify: 9. Determine the area of the triangle. a. 5 b. 2. Simplify: a. ( 3) c. ( 2) d. 4 ( 2) 3. e ( 3) ( 5)
Math 08 Final Exam Review. Expand and simplify: (Section.6). Simplify: ( ) ( ) 00 d. ( ) (Section.,.6,.) (Section.,.,.) 6 ( ) ( ) e. 6 6 8 (Section.,.6,.) (Section.,.) ( 6 ) (Section.,.,.). Translate into
Math 20 Practice Exam #2 Problems and Their Solutions!
Math 20 Practice Exam #2 Problems and Their Solutions! #1) Solve the linear system by graphing: Isolate for in both equations. Graph the two lines using the slope-intercept method. The two lines intersect
For Students Entering Investigations into Mathematics (IM)
E. Brooke Lee Middle School Summer Math For Students Entering Investigations into Mathematics (IM) 0 Summer 0 One goal of the Down County cluster of schools is to promote increased math performance at
Warm -Up. 1. Draw a connected graph with 4 vertices and 7 edges. What is the sum of the degrees of all the vertices?
Warm -Up 1. Draw a connected graph with 4 vertices and 7 edges. What is the sum of the degrees of all the vertices? 1. Is this graph a. traceable? b. Eulerian? 3. Eulerize this graph. Warm-Up Eulerize
Rationale. Is it feasible?
Learning Targets: Represent constraints by equations or inequalities. Use a graph to determine solutions of a system of inequalities. SUGGESTED LEARNING STRATEGIES: Think-Pair-Share, Interactive Word Wall,
NFC ACADEMY MATH 600 COURSE OVERVIEW
NFC ACADEMY MATH 600 COURSE OVERVIEW Math 600 is a full-year elementary math course focusing on number skills and numerical literacy, with an introduction to rational numbers and the skills needed for
Lesson 17: Graphing Quadratic Functions from the Standard Form,
: Graphing Quadratic Functions from the Standard Form, Student Outcomes Students graph a variety of quadratic functions using the form 2 (standard form). Students analyze and draw conclusions about contextual
Arrays: Higher Dimensional Arrays. CS0007: Introduction to Computer Programming
Arrays: Higher Dimensional Arrays CS0007: Introduction to Computer Programming Review If the == operator has two array variable operands, what is being compared? The reference variables held in the variables.
1-2 Order of Operations. Evaluate each expression SOLUTION: ANSWER: SOLUTION: ANSWER: SOLUTION: ANSWER: 243
1- Order of Operations Evaluate each expression. 1. 9 81 4. 4 56 5. 4 4. 0 14 5. 5 5 1 6. ( + 5)4 Page 1 1- Order of Operations 6. ( + 5)4 8 7. [8() 4 ] + 7(4) 8 8. or 9. 1 Evaluate each expression if
Algebra I EOC Packet #
1. Which inequality best describes the graph shown below? A y > x + 5 B y < x + 5 C y < x + 5 D y > x + 5 2. The table shows a set of values for x and y. x -3-2 1 3 6 y 7 5-1 -5-11 Which equation best
MATH Student Book. 5th Grade Unit 4
MATH Student Book 5th Grade Unit 4 Unit 4 ALGEBRA AND GRAPHING MATH 504 ALGEBRA AND GRAPHING Introduction 3 1. Expressions...4 Addition and Subtraction Expressions 5 Multiplication Expressions 9 The Order
6-3 Solving Systems by Elimination
Warm Up Simplify each expression. 1. 3x + 2y 5x 2y 2. 5(x y) + 2x + 5y 3. 4y + 6x 3(y + 2x) 4. 2y 4x 2(4y 2x) Write the least common multiple. 5. 3 and 6 6. 4 and 10 7. 6 and 8 8. 2 and 5 Learning Goals
Lesson 8 Practice Problems
Name: Date: Lesson 8 Skills Practice 1. Plot and label the points. A. (8, 2) B. (0, 0) C. (0, 5) D. (10, 10) E. ( 4, 4) F. ( 9, 1) G. ( 5, 0) H. (2, 8) 2. Give the coordinates of each of the points shown
Lesson 1: Graphing Linear Inequalities in Two Variables Chapter 6.1
MATH 11 FOUNDATIONS Lesson 1: Graphing Linear Inequalities in Two Variables Chapter 6.1 Name: Date: A mathematical inequality must contain one of the following: Examples of linear inequalities in a single
Test Booklet. Subject: MA, Grade: 10 TAKS Grade 10 Math Student name:
Test Booklet Subject: MA, Grade: 10 TAKS Grade 10 Math 2009 Student name: Author: Texas District: Texas Released Tests Printed: Saturday July 14, 2012 1 The grid below shows the top view of a 3-dimensional
Lesson 8: Graphs and Graphing Linear Equations
A critical skill required for the study of algebra is the ability to construct and interpret graphs. In this lesson we will learn how the Cartesian plane is used for constructing graphs and plotting data.
Curve Fitting with Linear Models
1-4 1-4 Curve Fitting with Linear Models Warm Up Lesson Presentation Lesson Quiz Algebra 2 Warm Up Write the equation of the line passing through each pair of passing points in slope-intercept form. 1.
Lesson Plan -- Adding and Subtracting Integers
Lesson Plan -- Adding and Subtracting Integers Chapter Resources - Lesson 3-7 Add Integers - Lesson 3-7 Add Integers Answers - Lesson 3-8 Subtract Integers - Lesson 3-8 Subtract Integers Answers 1 LESSON
PreAP FDN GRAPHING LINEAR INEQUALITIES IN TWO VARIABLES
PreAP FDN 20 6.1 GRAPHING LINEAR INEQUALITIES IN TWO VARIABLES Online Video Lessons: Q: https://goo.gl/fr6ygu https://goo.gl/wr8ehd https://goo.gl/syuu9g What are inequalities? Concepts: #1 Use your answer
Integers and Rational Numbers
1 Skills Intervention: Integers The opposite, or additive inverse, of a number is the number that is the same distance from zero on a number line as the given number. The integers are the set of whole
4-1 Graphing Relationships. Holt Algebra 11
4-1 Graphing Relationships Warm Up Lesson Presentation Lesson Quiz 1 Bell Quiz 4-1 State whether each word or phrase represents an amount that is increasing, decreasing, or constant. 2 pts1. stays the
Page 1 CCM6+ Unit 10 Graphing UNIT 10 COORDINATE PLANE. CCM Name: Math Teacher: Projected Test Date:
Page 1 CCM6+ Unit 10 Graphing UNIT 10 COORDINATE PLANE CCM6+ 2015-16 Name: Math Teacher: Projected Test Date: Main Concept Page(s) Vocabulary 2 Coordinate Plane Introduction graph and 3-6 label Reflect
9.3 Transform Graphs of Linear Functions Use this blank page to compile the most important things you want to remember for cycle 9.
9. Transorm Graphs o Linear Functions Use this blank page to compile the most important things you want to remember or cycle 9.: Sec Math In-Sync by Jordan School District, Utah is licensed under a 6 Function
7th Grade Math Unit 1 Algebraic Reasoning
7th Grade Math Unit 1 Algebraic Reasoning Name: Period: Common Core State Standards CC.7.NS.1 - Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers;
Multiplication and Division Equations. Number of eggs per batch. eggs are needed per batch of cookies.
L E S S O N 11.3 ESSENTIAL QUESTION Multiplication and Division Equations How do you solve equations that contain multiplication or division? 6.EE.2.5 Understand solving an equation as a process of answering
M i c r o s o f t E x c e l A d v a n c e d P a r t 3-4. Microsoft Excel Advanced 3-4
Microsoft Excel 2010 Advanced 3-4 0 Absolute references There may be times when you do not want a cell reference to change when copying or filling cells. You can use an absolute reference to keep a row
Lesson 10. adding integers. 46 Lesson 10 ~ Adding Integers
adding integers Lesson 10 explore! integer chips Integer chips are helpful for modeling integer operations. Each blue chip will represent the integer 1. Each red chip will represent the integer 1. When
8.4 Organizing Data In Excel. MDM - Term 3 Statistics
8.4 Organizing Data In Excel MDM - Term 3 Statistics WARM UP Log in to your computer Open Microsoft Excel Open a new sheet OBJECTIVES Enter data into Excel Use Excel to create a pie chart and personalize
6 TH GRADE INTO 7 TH SUMMER REVIEW: MATH
Name: 6 TH GRADE INTO 7 TH SUMMER REVIEW: MATH The following packet will help you prepare for 7 th grade math by reviewing the concepts you studied during 6 th grade. If you need help to complete a problem
Unit 2: Functions, Equations, & Graphs of Degree One
Date Period Unit 2: Functions, Equations, & Graphs of Degree One Day Topic 1 Relations and Functions Domain and Range 2 Graphing Linear Equations Objective 1 3 Writing Equations of Lines 4 Using the Graphing
Linear Functions. Connection to AP*: AP Calculus Topic: Analysis of Functions
Connecting Middle Grades to Advanced Placement* Mathematics A Resource and Strategy Guide Linear Functions Objective: Students will write an equation for a given problem situation and investigate the relationships
Warm Up MM2A5. 1. Graph f(x) = x 3 and make a table for the function. 2. Graph g(x) = (x) and make a table for the function
MM2A5 Warm Up 1. Graph f(x) = x 3 and make a table for the function 2. Graph g(x) = (x) and make a table for the function 3. What do you notice between the functions in number 1? 4. What do you notice
Integers and the Coordinate Plane
Name Date Class 9A Dear Family, A Family Letter: Understanding Integers The student will begin the study of an important set of numbers called integers. Integers are the set of numbers that include all
12-4 Geometric Sequences and Series. Lesson 12 3 quiz Battle of the CST s Lesson Presentation
12-4 Geometric Sequences and Series Lesson 12 3 quiz Battle of the CST s Lesson Presentation Objectives Find terms of a geometric sequence, including geometric means. Find the sums of geometric series.
Learning Log Title: CHAPTER 3: PORTIONS AND INTEGERS. Date: Lesson: Chapter 3: Portions and Integers
Chapter 3: Portions and Integers CHAPTER 3: PORTIONS AND INTEGERS Date: Lesson: Learning Log Title: Date: Lesson: Learning Log Title: Chapter 3: Portions and Integers Date: Lesson: Learning Log Title:
1-1. Variables and Expressions
exploration Catherine s dance team is planning a spring trip to the coast. Catherine is saving money in a bank account to pay for the trip. Her parents started her account with $100. She sells Christmas
CHAPTER 7 Decimals, Percents, & Real Numbers
MATH 20053 CHAPTER 7 Decimals, Percents, & Real Numbers Section 7. Decimals: Place Value, Estimation, and Mental Computation A decimal representation of a rational number is obtained by placing a dot,
Algebra II. Slide 1 / 179. Slide 2 / 179. Slide 3 / 179. Rational Expressions & Equations. Table of Contents
Slide 1 / 179 Slide 2 / 179 Algebra II Rational Expressions & Equations 2015-08-15 www.njctl.org Table of Contents Slide 3 / 179 Working with Rational Expressions Joint and Inverse Variation Simplifying
EXAMPLE A {(1, 2), (2, 4), (3, 6), (4, 8)}
Name class date Understanding Relations and Functions A relation shows how one set of things is related to, or corresponds to, another set. For instance, the equation A 5 s shows how the area of a square
Final Exam Review 114 Questions Fall 2011 math 0301 prealgebra
Final Exam Review 114 Questions 12-11-11 Fall 2011 math 0301 prealgebra Name atfm0301car28yes website www.alvarezmathhelp.com PROGRAMS: ALVAREZLAB AND INTERACTMATH (CARSON PREALGEBRA 3RD EDITION) MULTIPLE
SUMMER REVIEW PACKET 2 FOR STUDENTS ENTERING ALGEBRA 1
SUMMER REVIEW PACKET FOR STUDENTS ENTERING ALGEBRA Dear Students, Welcome to Ma ayanot. We are very happy that you will be with us in the Fall. The Math department is looking forward to working with you
Objectives/Outcomes. Introduction: If we have a set "collection" of fruits : Banana, Apple and Grapes.
1 September 26 September One: Sets Introduction to Sets Define a set Introduction: If we have a set "collection" of fruits : Banana, Apple Grapes. 4 F={,, } Banana is member "an element" of the set F.
MAFS Algebra 1. Quadratic Functions. Day 17 - Student Packet
MAFS Algebra 1 Quadratic Functions Day 17 - Student Packet Day 17: Quadratic Functions MAFS.912.F-IF.3.7a, MAFS.912.F-IF.3.8a I CAN graph a quadratic function using key features identify and interpret
Eureka Math. Algebra I, Module 5. Student File_B. Contains Exit Ticket, and Assessment Materials
A Story of Functions Eureka Math Algebra I, Module 5 Student File_B Contains Exit Ticket, and Assessment Materials Published by the non-profit Great Minds. Copyright 2015 Great Minds. No part of this work
Measures of Dispersion
Lesson 7.6 Objectives Find the variance of a set of data. Calculate standard deviation for a set of data. Read data from a normal curve. Estimate the area under a curve. Variance Measures of Dispersion
Is the product of two integers positive, negative, or zero? How can you tell? ACTIVITY: Multiplying Integers with the Same Sign
1.4 Multiplying Integers Is the product of two integers positive, negative, or zero? How can you tell? 1 ACTIVITY: Multiplying Integers with the Same Sign Work with a partner. Use repeated addition to
1-2 Order of Operations. Evaluate each expression SOLUTION: SOLUTION: SOLUTION: SOLUTION: 5.
Evaluate each expression. 1. 9 2 2. 4 4 3. 3 5 4. 30 14 2 5. 5 5 1 3 6. (2 + 5)4 esolutions Manual - Powered by Cognero Page 1 7. [8(2) 4 2 ] + 7(4) 8. 9. Evaluate each expression if a = 4, b = 6, and
6-2 Solving Systems by Substitution
6-2 Solving Systems by Substitution Warm Up Lesson Presentation Lesson Quiz 1 Warm Up Solve each equation for x. 1. y = x + 3 2. y = 3x 4 Simplify each expression. 3. 2(x 5) x = y 3 2x 10 4. 12 3(x + 1)
Ready To Go On? Skills Intervention 3-1 Using Graphs and Tables to Solve Linear Systems
Read To Go On? Skills Intervention 3-1 Using Graphs and Tables to Solve Linear Sstems Find these vocabular words in Lesson 3-1 and the Multilingual Glossar. Vocabular sstem of equations linear sstem consistent
Lesson 2b Functions and Function Operations
As we continue to work with more complex functions it is important that we are comfortable with Function Notation, opertions on Functions and opertions involving more than one function. In this lesson,
Name: Date: Review Packet: Unit 1 The Number System
Name: Date: Math 7 Ms. Conway Review Packet: Unit 1 The Number System Key Concepts Module 1: Adding and Subtracting Integers 7.NS.1, 7.NS.1a, 7.NS.1b, 7.NS.1c, 7.NS.1d, 7.NS.3, 7.EE.3 To add integers with
Name Class Date. Associative Property: When you add, you can group any of the numbers. When you multiply, you can group any of the numbers.
Name Class Date Properties of Numbers Extension: Equivalent Expressions Essential question: How do you write equivalent expressions using properties? Properties of Numbers Commutative Property: You can
I(g) = income from selling gearboxes C(g) = cost of purchasing gearboxes The BREAK-EVEN PT is where COST = INCOME or C(g) = I(g).
Page 367 I(g) = income from selling gearboxes C(g) = cost of purchasing gearboxes The BREAK-EVEN PT is where COST = INCOME or C(g) = I(g). PROFIT is when INCOME > COST or I(g) > C(g). I(g) = 8.5g g = the
Lesson 16: Applying the Properties of Operations to Multiply and Divide Rational Numbers
Lesson 16: Applying the Properties of Operations to Multiply and Divide Rational Student Outcomes Students use properties of operations to multiply and divide rational numbers without the use of a calculator.
Reteaching. Comparing and Ordering Integers
- Comparing and Ordering Integers The numbers and - are opposites. The numbers 7 and -7 are opposites. Integers are the set of positive whole numbers, their opposites, and zero. 7 6 4 0 negative zero You
Algebra II. Working with Rational Expressions. Slide 1 / 179 Slide 2 / 179. Slide 4 / 179. Slide 3 / 179. Slide 6 / 179.
Slide 1 / 179 Slide 2 / 179 Algebra II Rational Expressions & Equations 2015-08-15 www.njctl.org Slide 3 / 179 Slide 4 / 179 Table of Contents Working with Rational Expressions Joint and Inverse Variation