PreAlgebra Interactive Chalkboard Copyright by The McGrawHill Companies, Inc. Send all inquiries to:


 Cecily Montgomery
 2 years ago
 Views:
Transcription
1 PreAlgebra Interactive Chalkboard Copyright by The McGrawHill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGrawHill 8787 Orion Place Columbus, Ohio 43240
2
3 Lesson 51 Lesson 52 Lesson 53 Lesson 54 Lesson 55 Lesson 56 Lesson 57 Lesson 58 Lesson 59 Lesson 510 Writing Fractions as Decimals Rational Numbers Multiplying Rational Numbers Dividing Rational Numbers Adding and Subtracting Like Fractions Least Common Multiple Adding and Subtracting Unlike Fractions Measures of Central Tendency Solving Equations with Rational Numbers Arithmetic and Geometric Sequences
4 Click the mouse button or press the Space Bar to display the answers.
5 Example 1 Write a Fraction as a Terminating Decimal Example 2 Write a Mixed Number as a Decimal Example 3 Write Fractions as Repeating Decimals Example 4 Compare Fractions and Decimals Example 5 Compare Fractions to Solve a Problem
6 Write as a decimal. Method 1 Use paper and pencil. Answer:
7 Write as a decimal. Method 2 Use a calculator ENTER Answer:
8 Write as a decimal. Answer: 0.375
9 Write as a decimal. Write as the sum of an integer and a fraction. Add. Answer: 1.25
10 Write as a decimal. Answer: 2.6
11 Write as a decimal. The digits 12 repeat. Answer:
12 Write as a decimal. The digits 18 repeat. Answer:
13 a. Write as a decimal. Answer: b. Write as a decimal. Answer:
14 Replace with <, >, or = to make a true sentence. Write the sentence. Write as a decimal. In the tenths place,. Answer: On a number line, 0.7 is to the right of 0.65, so.
15 Replace with <, >, or = to make sentence. a true Answer: <
16 Grades Jeremy got a score of on his first quiz and on his second quiz. Which grade was the higher score? Write the fractions as decimals and then compare the decimals. Quiz #1: Quiz #2: Answer: The scores were the same, 0.80.
17 Baking One recipe for cookies requires of a cup of butter and a second recipe for cookies requires of a cup of butter. Which recipe uses less butter? Answer: the second recipe
18
19 Click the mouse button or press the Space Bar to display the answers.
20 Example 1 Write Mixed Numbers and Integers as Fractions Example 2 Write Terminating Decimals as Fractions Example 3 Write Repeating Decimals as Fractions Example 4 Classify Numbers
21 Write as a fraction. Answer: Write as an improper fraction.
22 Write 10 as a fraction. Answer:
23 a. Write as a fraction. Answer: b. Write 6 as a fraction. Answer:
24 Write 0.26 as a fraction or mixed number in simplest form is 26 hundredths. Answer: Simplify. The GCF of 26 and100 is 2.
25 Write as a fraction or mixed number in simplest form is 2 and 875 thousandths. Answer: Simplify. The GCF of 875 and 1000 is 125.
26 Write each decimal as a fraction or mixed number in simplest form. a Answer: b Answer:
27 Write as a fraction in simplest form. Let N represent the number. Multiply each side by 100 because two digits repeat. Subtract N from 100N to eliminate the repeating part,
28 Divide each side by 99. Simplify. Answer: Check ENTER
29 Write as a fraction in simplest form. Answer:
30 Identify all sets to which the number 15 belongs. Answer: 15 is a whole number, an integer, a natural number, and a rational number.
31 Identify all sets to which the number belongs. Answer: is a rational number.
32 Identify all sets to which the number belongs. Answer: is a nonterminating, repeating decimal. So, it is a rational number.
33 Identify all sets to which each number belongs. a. 7 Answer: integer, rational b. Answer: rational c Answer: rational
34
35 Click the mouse button or press the Space Bar to display the answers.
36 Example 1 Multiply Fractions Example 2 Simplify Before Multiplying Example 3 Multiply Negative Fractions Example 4 Multiply Mixed Numbers Example 5 Multiply Algebraic Fractions Example 6 Use Dimensional Analysis
37 Find. Write the product in simplest form. Multiply the numerators. Multiply the denominators. Answer: Simplify. The GCF of 10 and 40 is 10.
38 Find. Answer:
39 Find. Write the product in simplest form. Divide 8 and 6 by their GCF, 2. Multiply the numerators and multiply the denominators. Answer: Simplify.
40 Find. Write the product in simplest form. Answer:
41 Find. Write the product in simplest form. Divide 2 and 4 by their GCF, 2. Multiply the numerators and multiply the denominators. Answer: Simplify.
42 Find. Answer:
43 Find. Write the product in simplest form. Rename and rename. Divide by the GCF, 3. Multiply. Answer: Simplify.
44 Find. Write the product in simplest form. Answer:
45 Find. Write the product in simplest form. The GCF of and q is q. Answer: Simplify.
46 Find. Write the product in simplest form. Answer:
47 Track The track at Cole s school is mile around. If Cole runs one lap in two minutes, how far (in miles) does he run in 30 minutes? Words Distance equals the rate multiplied by the time. Variables Let d = distance, r = rate, and t = time. Formula d = rt
48 mile per 2 minutes 30 minutes Write the formula Divide by the common factors and units. Multiply. Simplify. Answer: Cole runs miles in 30 minutes.
49 Check The problem asks for the distance. When you divide the common units, the answer is expressed in miles. So, the answer is reasonable.
50 Walking Bob walks mile in 12 minutes. How far does he walk in 30 minutes? Answer:
51
52 Click the mouse button or press the Space Bar to display the answers.
53 Example 1 Find Multiplicative Inverses Example 2 Divide by a Fraction Example 3 Divide by a Whole Number Example 4 Divide by a Mixed Number Example 5 Divide by an Algebraic Fraction Example 6 Use Dimensional Analysis
54 Find the multiplicative inverse of. The product is 1. Answer: The multiplicative inverse or reciprocal of.
55 Find the multiplicative inverse of. Write as an improper fraction. The product is 1. Answer: The reciprocal of.
56 Find the multiplicative inverse of each number. a. Answer: b. Answer:
57 Find. Write the quotient in simplest form. Multiply by the multiplicative inverse of,. Divide 5 and 10 by their GCF, 5. Answer: Simplify.
58 Find. Write the quotient in simplest form. Answer:
59 Find. Write the quotient in simplest form. Write 3 as. Multiply by the multiplicative inverse of,. Answer: Multiply the numerators and multiply the denominators.
60 Find. Write the quotient in simplest form. Answer:
61 Find. Write the quotient in simplest form. Rename the mixed numbers as improper fractions. Multiply by the multiplicative inverse of,. Divide out common factors. Answer: Simplify.
62 Find. Write the quotient in simplest form. Answer:
63 Find. Write the quotient in simplest form. Multiply by the multiplicative inverse of,. Divide out common factors. Answer: Simplify.
64 Find. Write the quotient in simplest form. Answer:
65 Travel How many gallons of gas are needed to travel miles if a car gets miles per gallon? To find how many gallons, divide.
66 Write as improper fractions. Multiply by the reciprocal of Divide out common factors. Simplify.
67 Answer: gallons of gas are needed. Check Use dimensional analysis to examine the units. Divide out the units. Simplify. The result is expressed as gallons. This agrees with your answer of gallons of gas.
68 Sewing Emily has yards of fabric. She wants to make pillows which each require yards of fabric to complete. How many pillows can Emily make? Answer: or 8 pillows
69
70 Click the mouse button or press the Space Bar to display the answers.
71 Example 1 Add Fractions Example 2 Add Mixed Numbers Example 3 Subtract Fractions Example 4 Subtract Mixed Numbers Example 5 Add Algebraic Fractions
72 Find. Write the sum in simplest form. Estimate The denominators are the same. Add the numerators. Answer: Simplify and rename as a mixed number.
73 Find. Write the sum in simplest form. Answer:
74 Find. Write the sum in simplest form. Add the whole numbers and fractions separately. Add the numerators. Answer: Simplify.
75 Find. Write the sum in simplest form. Answer:
76 Find. Write the difference in simplest form. Estimate The denominators are the same. Subtract the numerators. Answer: Simplify.
77 Find. Write the difference in simplest form. Answer:
78 Evaluate. Estimate Replace r with and q with. Write the mixed numbers as improper fractions. Subtract the numerators. Answer: Simplify.
79 Evaluate. Answer:
80 Find. Write the sum in simplest form. The denominators are the same. Add the numerators. Add the numerators. Answer: Simplify.
81 Find. Write the sum in simplest form. Answer:
82
83 Click the mouse button or press the Space Bar to display the answers.
84 Example 1 Find the LCM Example 2 The LCM of Monomials Example 3 Find the LCD Example 4 Find the LCD of Algebraic Fractions Example 5 Compare Fractions
85 Find the LCM of 168 and 180. Number Prime Factorization Exponential Form The prime factors of both numbers are 2, 3, 5, and 7. Multiply the greatest powers of 2, 3, 5, and 7 appearing in either factorization. Answer: The LCM of 168 and 180 is 2520.
86 Find the LCM of 144 and 96. Answer: 288
87 Find the LCM of. Multiply the greatest power of each prime factor. Answer: The LCM of.
88 Find the LCM of. Answer:
89 Find the LCD of. Write the prime factorization of 8 and 20. Highlight the greatest power of each prime factor. Multiply. Answer: The LCD of.
90 Find the LCD of. Answer: 36
91 Find the LCD of. Answer: The LCD of.
92 Find the LCD of Answer:
93 Replace with <, >, or = to make a true statement. The LCD of the fractions is. Rewrite the fractions using the LCD and then compare the numerators. Multiply the fraction by to make the denominator 105. Multiply the fraction by to make the denominator 105.
94 Answer: Since, then. is to the left of on the number line.
95 Replace with <, >, or = to make a true statement. Answer: <
96
97 Click the mouse button or press the Space Bar to display the answers.
98 Example 1 Add Unlike Fractions Example 2 Add Fractions Example 3 Add Mixed Numbers Example 4 Subtract Fractions Example 5 Subtract Mixed Numbers Example 6 Use Fractions to Solve a Problem
99 Find. Use as the common denominator. Rename each fraction with the common denominator. Answer: Add the numerators.
100 Find. Answer:
101 Find. Estimate The LCD is 30. Rename each fraction with the LCD. Add the numerators. Answer: Simplify.
102 Find. Answer:
103 Find. Write in simplest form. Write the mixed numbers as improper fractions. Rename fractions using the LCD, 24. Simplify.
104 Add the numerators. Answer: Simplify.
105 Find. Answer:
106 Find. The LCD is 16. Rename using the LCD. Answer: Subtract the numerators.
107 Find. Answer:
108 Find. Write the mixed numbers as improper fractions. Rename the fractions using the LCD. Simplify. Answer: Subtract.
109 Find. Answer:
110 Jogging Juyong jogged three days this week. She jogged miles, miles, and miles. How far did she jog altogether? Explore You know the distances Juyong jogged each day. Plan Add the daily distances together to find the total distance. Estimate your answer.
111 Solve Rename the fractions with LCD, 20. Add the like fractions. Answer: Juyong jogged miles. Examine Since is close to, the answer is reasonable.
112 Gardening Howard s tomato plants grew inches during the first week after sprouting, inches during the second week, and inches the third week. Find the total growth during the first three weeks after sprouting. Answer: inches
113
114 Click the mouse button or press the Space Bar to display the answers.
115 Example 1 Find the Mean, Median, and Mode Example 2 Use a Line Plot Example 3 Find Extreme Values that Affect the Mean Example 4 Use, Mean, Median, and Mode to Analyze Data Example 5 Work Backward
116 Movies The revenue of the 10 highest grossing movies as of June 2000 are given in the table. Find the mean, median, and mode of the revenues. Top 10 Movie Revenues (millions of $) Answer: The mean revenue is $379.8 million.
117 To find the median, order the numbers from least to greatest. 290, 306, 309, 313, 330, 357, 400, 431, 461, 601 Answer: The median revenue is $343.5 million. There is an even number of items. Find the mean of the two middle numbers. Answer: There is no mode because each number in the set occurs once.
118 Test Scores The test scores for a class of nine students are 85, 93, 78, 99, 62, 83, 90, 75, 85. Find the mean, median, and mode of the test scores. Answer: mean, 83.3; median, 85; mode, 85
119 Olympics The line plot below shows the number of gold medals earned by each country that participated in the 1998 Winter Olympic games in Nagano, Japan. Find the mean, median, and mode for the gold medals won. Answer: The mean is
120 There are 24 numbers. The median number is the average of the 12 th and 13 th numbers. Answer: The median is 2. The number 0 occurs most frequently in the set of data. Answer: The mode is 0.
121 Families A survey of schoolage children shows the family sizes displayed in the line plot below. Find the mean, median, and mode. Answer: mean, 4.3; median, 5; mode, 5
122 Quiz scores The quiz scores for a math class are 8, 7, 6, 10, 8, 8, 9, 8, 7, 9, 8, 0, and 10. Identify an extreme value and describe how it affects the mean. The data value 0 appears to be an extreme value. Calculate the mean with and without the extreme value to find how it affects the mean. mean with extreme value mean without extreme value Answer: The extreme value 0 decreases the mean by or about 0.7.
123 Birth Weight The birth weights of ten newborn babies are given in pounds: 7.3, 8.4, 9.1, 7.9, 8.8, 6.5, 7.9, 4.1, 8.0, 7.5. Identify an extreme value and describe how it affects the mean. Answer: 4.1; it decreases the mean by about 0.4.
124 The table shows the monthly salaries of the employees at two bookstores. Find the mean, median, and mode for each set of data. Based on the averages, which bookstore pays its employees better? Bob s Books The Reading Place Bob s Books mean: median: 1290, 1400, 1400, 1600, 3650 median mode: $1400
125 Bob s Books The Reading Place The Reading Place mean: median: 1400, 1450, 1550, 1600, 2000 median mode: none Answer: The $3650 salary at Bob s Books is an extreme value that increases the mean salary. The employees at The Reading Place are generally better paid as shown by the median.
126 The number of hours spent exercising each week by men and women are given in the table. Find the mean, median, and mode for each set of data. Based on the averages, which gender exercises more? Men Women Answer: Men: mean, 5.7; median, 4.5; mode, none Women: mean, 3.7; median, 3; mode, 1 Men seem to exercise more.
127 Grid In Test Item Jenny s bowling average is 146. Today she bowled 138, 140, and 145. What does she need to score on her fourth game to maintain her average? Read the Test Item Find the sum of the first three games. Then write an equation to find the score needed on the fourth game.
128 Solve the Test Item Step 1 Find the sum of the first three games x. mean of the first three scores sum of first three scores Multiply each side by 3. Simplify.
129 Step 2 Find the fourth score, x. mean Write an equation. Substitution. Multiply each side by 4 and simplify. Subtract 423 from each side and simplify.
130 Answer: Jenny needs to score at least 161 to maintain her average of 146.
131 Emily scored 73, 82, and 85 on her first three math tests. What score does Emily need on the fourth test to give her an average of 82 for the four tests? Answer: 88
132
133 Click the mouse button or press the Space Bar to display the answers.
134 Example 1 Solve by Using Addition Example 2 Solve by Using Subtraction Example 3 Solve by Using Division Example 4 Solve by Using Multiplication
135 Solve. Check your solution. Write the equation. Add to each side. Simplify. Rename the fractions using the LCD and add.
136 Answer: Simplify. Check Write the original equation. Replace y with. Simplify.
137 Solve. Check your solution. Answer:
138 Solve. Check your solution. Write the equation. Subtract 8.6 from each side. Answer: Check: Simplify. Write the original equation. Replace m with 2.6. Simplify.
139 Solve. Check your solution. Answer: 6.1
140 Solve. Check your solution. Write the equation. Divide each side by 9. Answer: Check: Simplify. Write the original equation. Replace a with 0.4. Simplify.
141 Solve. Check your solution. Answer: 0.8
142 Solve. Check your solution. Write the equation. Multiply each side by 6. Answer: Simplify.
143 Check: Write the original equation. Replace x with 48. Simplify.
144 Solve. Check your solution. Write the equation. Multiply each side by. Answer: Simplify. Check the solution.
145 Check: Write the original equation. Replace t with 10. Simplify.
146 a. Solve. Check your solution. Answer: 45 b. Solve. Check your solution. Answer: 16
147
148 Click the mouse button or press the Space Bar to display the answers.
149 Example 1 Identify an Arithmetic Sequence Example 2 Identify an Arithmetic Sequence Example 3 Identify Geometric Sequences
150 State whether the sequence 5, 1, 3, 7, 11,... is arithmetic. If it is, state the common difference and write the next three terms. 5, 1, 3, 7, 11 Notice that, and so on. Answer: The terms have a common difference of, so the sequence is arithmetic. Continue the pattern to find the next three terms.
151 11, 15, 19, 23 Answer: The next three terms of the sequence are 15, 19, and 23.
152 State whether the sequence 12, 7, 2, 3, 8,... is arithmetic. If it is, state the common difference and write the next three terms. Answer: arithmetic; 5; 13, 18, 23
153 State whether the sequence 0, 2, 6, 12, 20,... is arithmetic. If it is, state the common difference and write the next three terms. 0, 2, 6, 12, 20 The terms do not have a common difference. Answer: The sequence is not arithmetic. However, if the pattern continues, the next three differences will be 10, 12, and 14.
154 20, 30, 42, 56 The next three terms are 30, 42, and 56.
155 State whether the sequence 20, 17, 11, 2, 10,... is arithmetic. If it is, state the common difference and write the next three terms. Answer: not arithmetic
156 State whether the sequence 2, 4, 4, 8, 8, 16, is geometric. If it is, state the common ratio and write the next three terms. 2, 4, 4, 8, 8, 16, 16 Answer: There is no common ratio. The sequence is not geometric.
157 State whether the sequence 27, 9, 3, 1, 27, 9, 3, 1,,... is geometric. If it is, state the common ratio and write the next three terms. Answer: The common ratio is, so the sequence is geometric. Continue the pattern to find the next three terms.
158 ,,, The next three terms are,, and.
159 a. State whether the sequence 2, 8, 32, 128, 512,... is geometric. If it is, state the common ratio and write the next three terms. Answer: geometric; 4; 2048, 8192, 32,768 b. State whether the sequence 100, 20, 4,,... is geometric. If it is, state the common ratio and write the next three terms. Answer: geometric; ;,,
160
161 Explore online information about the information introduced in this chapter. Click on the Connect button to launch your browser and go to the PreAlgebra Web site. At this site, you will find extra examples for each lesson in the Student Edition of your textbook. When you finish exploring, exit the browser program to return to this presentation. If you experience difficulty connecting to the Web site, manually launch your Web browser and go to
162
163
PreAlgebra Interactive Chalkboard Copyright by The McGrawHill Companies, Inc. Send all inquiries to:
PreAlgebra Interactive Chalkboard Copyright by The McGrawHill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGrawHill 8787 Orion Place Columbus, Ohio 43240 Click the mouse button
More informationPreAlgebra Interactive Chalkboard Copyright by The McGrawHill Companies, Inc. Send all inquiries to:
PreAlgebra Interactive Chalkboard Copyright by The McGrawHill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGrawHill 8787 Orion Place Columbus, Ohio 43240 Click the mouse button
More informationScope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B
Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced
More informationChapter 4  Decimals
Chapter 4  Decimals $34.99 decimal notation ex. The cost of an object. ex. The balance of your bank account ex The amount owed ex. The tax on a purchase. Just like Whole Numbers Place Value  1.23456789
More informationAddition with Unlike Denominators
Lesson. Addition with Unlike Denominators Karen is stringing a necklace with beads. She puts green beads on _ of the string and purple beads on of the string. How much of the string does Karen cover with
More informationArithmetic Review ORDER OF OPERATIONS WITH WHOLE NUMBERS
Arithmetic Review The arithmetic portion of the Accuplacer Placement test consists of seventeen multiple choice questions. These questions will measure skills in computation of whole numbers, fractions,
More informationGreatest Common Factor
SKILL 10 Name Greatest Common Factor Date The greatest common factor (GCF) of two or more numbers is the greatest number that is a factor of each number. One way to find the greatest common factor is to
More informationSAINT JOHN PAUL II CATHOLIC ACADEMY. Entering Grade 6 Summer Math
SAINT JOHN PAUL II CATHOLIC ACADEMY Summer Math 2016 In Grade 5 You Learned To: Operations and Algebraic Thinking Write and interpret numerical expressions. Analyze patterns and relationships. Number and
More informationHow do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.
The verbal answers to all of the following questions should be memorized before completion of prealgebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics
More information2.6 Adding and Subtracting Fractions and Mixed Numbers with Unlike Denominators
2.6 Adding and Subtracting Fractions and Mixed Numbers with Unlike Denominators Learning Objective(s) 1 Find the least common multiple (LCM) of two or more numbers. 2 Find the Least Common Denominator
More informationSequential Skills. Strands and Major Topics
Sequential Skills This set of charts lists, by strand, the skills that are assessed, taught, and practiced in the Skills Tutorial program. Each Strand ends with a Mastery Test. You can enter correlating
More informationLESSON 4 Missing Numbers in Multiplication Missing Numbers in Division LESSON 5 Order of Operations, Part 1 LESSON 6 Fractional Parts LESSON 7 Lines,
Saxon Math 7/6 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.
More informationMath 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.
Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used
More informationREVIEW SHEETS BASIC MATHEMATICS MATH 010
REVIEW SHEETS BASIC MATHEMATICS MATH 010 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts that are taught in the specified math course. The sheets
More informationThe gas can has a capacity of 4.17 gallons and weighs 3.4 pounds.
hundred million$ ten million$ million$ 00,000,000 0,000,000,000,000 00,000 0,000,000 00 0 0 0 0 0 0 0 0 0 Session 26 Decimal Fractions Explain the meaning of the values stated in the following sentence.
More informationMATH 65 NOTEBOOK CERTIFICATIONS
MATH 65 NOTEBOOK CERTIFICATIONS Review Material from Math 60 2.5 4.3 4.4a Chapter #8: Systems of Linear Equations 8.1 8.2 8.3 Chapter #5: Exponents and Polynomials 5.1 5.2a 5.2b 5.3 5.4 5.5 5.6a 5.7a 1
More informationNew York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and Quick Review Math Handbook Book 1
New York State Mathematics Content Strands, Grade 6, Correlated to Glencoe MathScape, Course 1 and The lessons that address each Performance Indicator are listed, and those in which the Performance Indicator
More informationFRACTION WORKSHOP. Example: Equivalent Fractions fractions that have the same numerical value even if they appear to be different.
FRACTION WORKSHOP Parts of a Fraction: Numerator the top of the fraction. Denominator the bottom of the fraction. In the fraction the numerator is 3 and the denominator is 8. Equivalent Fractions: Equivalent
More informationFlorida Math Correlation of the ALEKS course Florida Math 0022 to the Florida Mathematics Competencies  Lower and Upper
Florida Math 0022 Correlation of the ALEKS course Florida Math 0022 to the Florida Mathematics Competencies  Lower and Upper Whole Numbers MDECL1: Perform operations on whole numbers (with applications,
More informationUtah Core Curriculum for Mathematics
Core Curriculum for Mathematics correlated to correlated to 2005 Chapter 1 (pp. 2 57) Variables, Expressions, and Integers Lesson 1.1 (pp. 5 9) Expressions and Variables 2.2.1 Evaluate algebraic expressions
More informationMyMathLab ecourse for Developmental Mathematics
MyMathLab ecourse for Developmental Mathematics, North Shore Community College, University of New Orleans, Orange Coast College, Normandale Community College Table of Contents Module 1: Whole Numbers and
More informationExponents, Factors, and Fractions. Chapter 3
Exponents, Factors, and Fractions Chapter 3 Exponents and Order of Operations Lesson 31 Terms An exponent tells you how many times a number is used as a factor A base is the number that is multiplied
More informationUnit 1 Number Sense. In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions.
Unit 1 Number Sense In this unit, students will study repeating decimals, percents, fractions, decimals, and proportions. BLM Three Types of Percent Problems (p L34) is a summary BLM for the material
More informationGrade 5 Mathematics Curriculum Guideline Scott Foresman  Addison Wesley 2008. Chapter 1: Place, Value, Adding, and Subtracting
Grade 5 Math Pacing Guide Page 1 of 9 Grade 5 Mathematics Curriculum Guideline Scott Foresman  Addison Wesley 2008 Test Preparation Timeline Recommendation: September  November Chapters 15 December
More informationAdding and Subtracting Fractions. 1. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into.
Tallahassee Community College Adding and Subtracting Fractions Important Ideas:. The denominator of a fraction names the fraction. It tells you how many equal parts something is divided into.. The numerator
More informationClifton High School Mathematics Summer Workbook Algebra 1
1 Clifton High School Mathematics Summer Workbook Algebra 1 Completion of this summer work is required on the first day of the school year. Date Received: Date Completed: Student Signature: Parent Signature:
More informationConsumer Math 15 INDEPENDENT LEAR NING S INC E 1975. Consumer Math
Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975 Consumer Math Consumer Math ENROLLED STUDENTS ONLY This course is designed for the student who is challenged by abstract forms of higher This math. course
More informationConsultant: Lynn T. Havens. Director of Project CRISS Kalispell, Montana
Teacher Annotated Edition Study Notebook Consultant: Lynn T. Havens SM Director of Project CRISS Kalispell, Montana i_sn_c1fmtwe_893629.indd i 3/16/09 9:17:03 PM Copyright by The McGrawHill Companies,
More informationCOMPASS Numerical Skills/PreAlgebra Preparation Guide. Introduction Operations with Integers Absolute Value of Numbers 13
COMPASS Numerical Skills/PreAlgebra Preparation Guide Please note that the guide is for reference only and that it does not represent an exact match with the assessment content. The Assessment Centre
More informationTransition To College Mathematics
Transition To College Mathematics In Support of Kentucky s College and Career Readiness Program Northern Kentucky University Kentucky Online Testing (KYOTE) Group Steve Newman Mike Waters Janis Broering
More information3 cups ¾ ½ ¼ 2 cups ¾ ½ ¼. 1 cup ¾ ½ ¼. 1 cup. 1 cup ¾ ½ ¼ ¾ ½ ¼. 1 cup. 1 cup ¾ ½ ¼ ¾ ½ ¼
cups cups cup Fractions are a form of division. When I ask what is / I am asking How big will each part be if I break into equal parts? The answer is. This a fraction. A fraction is part of a whole. The
More informationFlorida Math 0018. Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies  Lower
Florida Math 0018 Correlation of the ALEKS course Florida Math 0018 to the Florida Mathematics Competencies  Lower Whole Numbers MDECL1: Perform operations on whole numbers (with applications, including
More informationAlgebra I Credit Recovery
Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,
More informationFRACTIONS: A CONCEPTUAL APPROACH
FRACTIONS: A CONCEPTUAL APPROACH A Singapore Math Topical Presentation Grades 6 Dr. Suchint Sarangarm Three distinct meanings of fractions Part of a Whole: the fraction indicates that a whole has been
More informationDIAMOND PROBLEMS 1.1.1
DIAMOND PROBLEMS 1.1.1 In every Diamond Problem, the product of the two side numbers (left and right) is the top number and their sum is the bottom number. Diamond Problems are an excellent way of practicing
More information3.3 Addition and Subtraction of Rational Numbers
3.3 Addition and Subtraction of Rational Numbers In this section we consider addition and subtraction of both fractions and decimals. We start with addition and subtraction of fractions with the same denominator.
More informationMTH 092 College Algebra Essex County College Division of Mathematics Sample Review Questions 1 Created January 17, 2006
MTH 092 College Algebra Essex County College Division of Mathematics Sample Review Questions Created January 7, 2006 Math 092, Elementary Algebra, covers the mathematical content listed below. In order
More informationFree PreAlgebra Lesson 55! page 1
Free PreAlgebra Lesson 55! page 1 Lesson 55 Perimeter Problems with Related Variables Take your skill at word problems to a new level in this section. All the problems are the same type, so that you can
More informationFractions, Ratios, and Proportions Work Sheets. Contents
Fractions, Ratios, and Proportions Work Sheets The work sheets are grouped according to math skill. Each skill is then arranged in a sequence of work sheets that build from simple to complex. Choose the
More informationMATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education)
MATH 095, College Prep Mathematics: Unit Coverage Prealgebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,
More informationCh.4 Fractions and Mixed Numbers
Ch. Fractions and Mixed Numbers. An Introduction to Fractions. Multiplying Fractions. Dividing Fractions. Adding and Subtracting Fractions. Multiplying and Dividing Mixed Numbers.6 Adding and Subtracting
More informationMultiply and Divide with Scientific Notation Mississippi Standard: Multiply and divide numbers written in scientific notation.
Multiply and Divide with Scientific Notation Mississippi Standard: Multiply and divide numbers written in scientific notation. You can use scientific notation to simplify computations with very large and/or
More informationCopy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any.
Algebra 2  Chapter Prerequisites Vocabulary Copy in your notebook: Add an example of each term with the symbols used in algebra 2 if there are any. P1 p. 1 1. counting(natural) numbers  {1,2,3,4,...}
More informationAlgebra 12. A. Identify and translate variables and expressions.
St. Mary's College High School Algebra 12 The Language of Algebra What is a variable? A. Identify and translate variables and expressions. The following apply to all the skills How is a variable used
More informationSIMPLIFYING ALGEBRAIC FRACTIONS
Tallahassee Community College 5 SIMPLIFYING ALGEBRAIC FRACTIONS In arithmetic, you learned that a fraction is in simplest form if the Greatest Common Factor (GCF) of the numerator and the denominator is
More informationMATH0910 Review Concepts (Haugen)
Unit 1 Whole Numbers and Fractions MATH0910 Review Concepts (Haugen) Exam 1 Sections 1.5, 1.6, 1.7, 1.8, 2.1, 2.2, 2.3, 2.4, and 2.5 Dividing Whole Numbers Equivalent ways of expressing division: a b,
More informationEveryday Mathematics. Grade 4 GradeLevel Goals CCSS EDITION. Content Strand: Number and Numeration. Program Goal Content Thread GradeLevel Goal
Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation
More informationExcel Math Placement Tests A gradelevel evaluation tool
Excel Math Placement Tests A gradelevel evaluation tool Attached are six tests that can be used to evaluate a student s preparedness for Excel Math. The tests are labeled A  F, which correspond to first
More informationMATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab
MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab MATH 0110 is established to accommodate students desiring noncourse based remediation in developmental mathematics. This structure will
More informationMathematics Scope and Sequence, K8
Standard 1: Number and Operation Goal 1.1: Understands and uses numbers (number sense) Mathematics Scope and Sequence, K8 Grade Counting Read, Write, Order, Compare Place Value Money Number Theory K Count
More informationFSCJ PERT. Florida State College at Jacksonville. assessment. and Certification Centers
FSCJ Florida State College at Jacksonville Assessment and Certification Centers PERT Postsecondary Education Readiness Test Study Guide for Mathematics Note: Pages through are a basic review. Pages forward
More informationIntroduction to Fractions, Equivalent and Simplifying (12 days)
Introduction to Fractions, Equivalent and Simplifying (12 days) 1. Fraction 2. Numerator 3. Denominator 4. Equivalent 5. Simplest form Real World Examples: 1. Fractions in general, why and where we use
More informationEveryday Mathematics GOALS
Copyright Wright Group/McGrawHill GOALS The following tables list the GradeLevel Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the
More informationGrade 6 GradeLevel Goals. Equivalent names for fractions, decimals, and percents. Comparing and ordering numbers
Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation
More informationMaths Targets Year 1 Addition and Subtraction Measures. N / A in year 1.
Number and place value Maths Targets Year 1 Addition and Subtraction Count to and across 100, forwards and backwards beginning with 0 or 1 or from any given number. Count, read and write numbers to 100
More information100 Math Facts 6 th Grade
100 Math Facts 6 th Grade Name 1. SUM: What is the answer to an addition problem called? (N. 2.1) 2. DIFFERENCE: What is the answer to a subtraction problem called? (N. 2.1) 3. PRODUCT: What is the answer
More informationMTH 086 College Algebra Essex County College Division of Mathematics Sample Review Questions 1 Created January 20, 2006
MTH 06 College Algebra Essex County College Division of Mathematics Sample Review Questions 1 Created January 0, 006 Math 06, Introductory Algebra, covers the mathematical content listed below. In order
More informationAnchorage School District/Alaska Sr. High Math Performance Standards Algebra
Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Algebra 1 2008 STANDARDS PERFORMANCE STANDARDS A1:1 Number Sense.1 Classify numbers as Real, Irrational, Rational, Integer,
More informationMath Review. for the Quantitative Reasoning Measure of the GRE revised General Test
Math Review for the Quantitative Reasoning Measure of the GRE revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important
More informationCAMI Education linked to CAPS: Mathematics
 1  TOPIC 1.1 Whole numbers _CAPS Curriculum TERM 1 CONTENT Properties of numbers Describe the real number system by recognizing, defining and distinguishing properties of: Natural numbers Whole numbers
More informationTYPES OF NUMBERS. Example 2. Example 1. Problems. Answers
TYPES OF NUMBERS When two or more integers are multiplied together, each number is a factor of the product. Nonnegative integers that have exactly two factors, namely, one and itself, are called prime
More informationCompass Math Study Guide
Compass Math Study Guide The only purpose of this study guide is to give you an overview of the type of math skills needed to successfully complete the Compass math assessment. The Study Guide is not intended
More informationQuick Reference ebook
This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed
More informationEveryday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration
CCSS EDITION Overview of 6 GradeLevel Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting
More informationT. H. Rogers School Summer Math Assignment
T. H. Rogers School Summer Math Assignment Mastery of all these skills is extremely important in order to develop a solid math foundation. I believe each year builds upon the previous year s skills in
More informationAlgebra II New Summit School High School Diploma Program
Syllabus Course Description: Algebra II is a two semester course. Students completing this course will earn 1.0 unit upon completion. Required Materials: 1. Student Text Glencoe Algebra 2: Integration,
More informationCAMI Education linked to CAPS: Mathematics
 1  TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to
More informationChapter 5 Section 1 Answers: pg 222 224
Chapter 5 Section 1 Answers: pg 222 224 1. Terminating decimal 2. Repeating decimal 3. Terminating decimal 4. Repeating decimal 5. Sample answer: If you can write the number as a quotient of two integers,
More informationMath 0306 Final Exam Review
Math 006 Final Exam Review Problem Section Answers Whole Numbers 1. According to the 1990 census, the population of Nebraska is 1,8,8, the population of Nevada is 1,01,8, the population of New Hampshire
More informationSquare Roots. Learning Objectives. PreActivity
Section 1. PreActivity Preparation Square Roots Our number system has two important sets of numbers: rational and irrational. The most common irrational numbers result from taking the square root of nonperfect
More informationSixth Grade Problem Solving Tasks Weekly Enrichments Teacher Materials. Summer Dreamers 2013
Sixth Grade Problem Solving Tasks Weekly Enrichments Teacher Materials Summer Dreamers 2013 SOLVING MATH PROBLEMS KEY QUESTIONS WEEK 1 By the end of this lesson, students should be able to answer these
More information20(1)  (4) (5) 10)
PreAlgebra Final Exam Review Name Write the whole number in words. 1) 9,300,695 1) Add. 2) 58,142 30,645 + 5,300,621 2) Round the whole number to the given place. 3) 49,815,425 to the nearest million
More informationof surface, 569571, 576577, 578581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433
Absolute Value and arithmetic, 730733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property
More informationLesson Plan. N.RN.3: Use properties of rational and irrational numbers.
N.RN.3: Use properties of rational irrational numbers. N.RN.3: Use Properties of Rational Irrational Numbers Use properties of rational irrational numbers. 3. Explain why the sum or product of two rational
More informationEXPONENTS. To the applicant: KEY WORDS AND CONVERTING WORDS TO EQUATIONS
To the applicant: The following information will help you review math that is included in the Paraprofessional written examination for the Conejo Valley Unified School District. The Education Code requires
More informationBasic Pre Algebra Intervention Program
Basic Pre Algebra Intervention Program This 9 lesson Intervention Plan is designed to provide extra practice lessons and activities for students in Pre Algebra. The skills covered are basics that must
More informationUnit Essential Question: When do we need standard symbols, operations, and rules in mathematics? (CAIU)
Page 1 Whole Numbers Unit Essential : When do we need standard symbols, operations, and rules in mathematics? (CAIU) M6.A.3.2.1 Whole Number Operations Dividing with one digit (showing three forms of answers)
More informationFraction Competency Packet
Fraction Competency Packet Developed by: Nancy Tufo Revised 00: Sharyn Sweeney Student Support Center North Shore Community College To use this booklet, review the glossary, study the examples, then work
More informationPreAlgebra Class 3  Fractions I
PreAlgebra Class 3  Fractions I Contents 1 What is a fraction? 1 1.1 Fractions as division............................... 2 2 Representations of fractions 3 2.1 Improper fractions................................
More informationHigher Education Math Placement
Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication
More informationRational Numbers. Say Thanks to the Authors Click (No sign in required)
Rational Numbers Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content, visit www.ck12.org
More informationMath Questions & Answers
What five coins add up to a nickel? five pennies (1 + 1 + 1 + 1 + 1 = 5) Which is longest: a foot, a yard or an inch? a yard (3 feet = 1 yard; 12 inches = 1 foot) What do you call the answer to a multiplication
More informationGrade 6 FCAT 2.0 Mathematics Sample Answers
Grade FCAT. Mathematics Sample Answers This booklet contains the answers to the FCAT. Mathematics sample questions, as well as explanations for the answers. It also gives the Next Generation Sunshine State
More informationGrade 6 FCAT 2.0 Mathematics Sample Answers
0 Grade FCAT.0 Mathematics Sample Answers This booklet contains the answers to the FCAT.0 Mathematics sample questions, as well as explanations for the answers. It also gives the Next Generation Sunshine
More informationAccuplacer Arithmetic Study Guide
Testing Center Student Success Center Accuplacer Arithmetic Study Guide I. Terms Numerator: which tells how many parts you have (the number on top) Denominator: which tells how many parts in the whole
More informationHFCC Math Lab Arithmetic  4. Addition, Subtraction, Multiplication and Division of Mixed Numbers
HFCC Math Lab Arithmetic  Addition, Subtraction, Multiplication and Division of Mixed Numbers Part I: Addition and Subtraction of Mixed Numbers There are two ways of adding and subtracting mixed numbers.
More informationWSMA Decimal Numbers Lesson 4
Thousands Hundreds Tens Ones Decimal Tenths Hundredths Thousandths WSMA Decimal Numbers Lesson 4 Are you tired of finding common denominators to add fractions? Are you tired of converting mixed fractions
More informationEveryday Mathematics. Grade 4 GradeLevel Goals. 3rd Edition. Content Strand: Number and Numeration. Program Goal Content Thread GradeLevel Goals
Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation
More informationA Second Course in Mathematics Concepts for Elementary Teachers: Theory, Problems, and Solutions
A Second Course in Mathematics Concepts for Elementary Teachers: Theory, Problems, and Solutions Marcel B. Finan Arkansas Tech University c All Rights Reserved First Draft February 8, 2006 1 Contents 25
More informationParamedic Program PreAdmission Mathematics Test Study Guide
Paramedic Program PreAdmission Mathematics Test Study Guide 05/13 1 Table of Contents Page 1 Page 2 Page 3 Page 4 Page 5 Page 6 Page 7 Page 8 Page 9 Page 10 Page 11 Page 12 Page 13 Page 14 Page 15 Page
More informationPreAlgebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems
Academic Content Standards Grade Eight Ohio PreAlgebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small
More informationEstimating Products (pages 256 258)
A Estimating Products (pages 8) You can use compatible numbers to estimate products when multiplying fractions. Compatible numbers are easy to divide mentally. A Estimate. means of.? For, the nearest multiple
More informationMultiplying Fractions by Whole Numbers
Multiplying Fractions by Whole Numbers Objective To apply and extend previous understandings of multiplication to multiply a fraction by a whole number. www.everydaymathonline.com epresentations etoolkit
More informationThe Distributive Property
The Distributive Property Objectives To recognize the general patterns used to write the distributive property; and to mentally compute products using distributive strategies. www.everydaymathonline.com
More informationMath Concepts and Skills 2 Reference Manual. SuccessMaker Enterprise
Math Concepts and Skills 2 Reference Manual SuccessMaker Enterprise Released June 2008 Copyright 2008 Pearson Education, Inc. and/or one or more of its direct or indirect affiliates. All rights reserved.
More information12 Mean, Median, Mode, and Range
Learn to find the mean, median, mode, and range of a data set. mean median mode range outlier Vocabulary The mean is the sum of the data values divided by the number of data items. The median is the middle
More informationIllinois State Standards Alignments Grades Three through Eleven
Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other
More informationBasic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704.
Basic Math Refresher A tutorial and assessment of basic math skills for students in PUBP704. The purpose of this Basic Math Refresher is to review basic math concepts so that students enrolled in PUBP704:
More informationModuMath Algebra Lessons
ModuMath Algebra Lessons Program Title 1 Getting Acquainted With Algebra 2 Order of Operations 3 Adding & Subtracting Algebraic Expressions 4 Multiplying Polynomials 5 Laws of Algebra 6 Solving Equations
More informationCourse 2 Summer Packet For students entering 8th grade in the fall
Course 2 Summer Packet For students entering 8th grade in the fall The summer packet is comprised of important topics upcoming eighth graders should know upon entering math in the fall. Please use your
More information