Pre-Algebra Unit 1: Number Sense Unit 1 Review Packet

Size: px
Start display at page:

Transcription

1 Pre-Algebra Unit 1: Number Sense Unit 1 Review Packet Target 1: Writing Repeating Decimals in Rational Form Remember the goal is to get rid of the repeating decimal so we can write the number in rational form. To get rid of the repeating decimal, set up an equation where x equals the repeating decimals. Example 1: 0.7 Let x = Since 1 digit repeats, multiply both sides by 10 Remember to multiply by ten, move decimal one place to right to make the number 10 times bigger. 10x = Now subtract x from both sides (this gets rid of repeating decimal) 10x = x = x = 7 Now solve one step equation for x: 9x 9 = 7 9 so the rational form is 7 9 Example 2: 0.6 Let x = Since 2 digits repeats, multiply both sides by 100 Remember to multiply by a hundred, move decimal two places to right to make the number 100 times bigger. 100x = Now subtract x from both sides (this gets rid of repeating decimal) 100x = x = x = 6 Now solve one step equation for x: 99x = so the rational form is 6 99 = 4 11

2 Example 2: 0.58 Let x = 0.58 Since 1 digit repeats, multiply both sides by 10 Remember to multiply by ten, move decimal one place to right to make the number 10 times bigger. 10x = 5.8 Now subtract x from both sides (this gets rid of repeating decimal)cancel out repeating parts that are on top of each other and subtract the rest (you ll get rid of decimal later) 10x = 5.8-1x = x = 5.25 Now solve one step equation for x: 9x 9 = To get rid of decimal, multiply top and bottom by 100 because that will move decimal to end to make numerator a whole number: 5.25(100) = 525 = 7 9(100) Practice Problems: Write each of the following in rational form (as a fraction) Show All Work On a Separate Sheet to Receive Credit Target 2: Perfect Square and Cube Roots Remember the square root of a number is finding the number that multiplied by itself to give you the square root. Example: 49 = 7 because 7 7 = 49 Remember that when working with area of a square, to find the length of each side of the square, you take the square root of the area.

3 Remember the cube root of a number is finding the number multiplied by itself times to give you the cube root. Example: 729 = 9 because = 729 Remember that when working with volume of a square, to find the length of each side of the cube, you take the cube root of the volume. Remember if you are working with fractions you do the numerator and denominator separately and make sure to simplify your fraction if necessary. Example: = 9 = and 144 = 12 so = 12 = 1 4 Practice Problems: Simplify Each of the Following. Show All Work On a Separate Sheet to Receive Credit Find the length of a square that has an area of 100 units Find the length of a cube that has a volume of 27 units. Target : Rational and Irrational Numbers Remember: Whole Numbers: numbers that are positive and do not have fractions or decimals in them. These include positive perfect square and cube roots. Examples: 0, 5, 16, 64

4 Integers: positive and negative numbers that do not have fractions or decimals in them. These include both positive and negative perfect square and cube roots. These include ALL whole numbers. Examples: -8, - 6, - 8, 0, 12, 144, 216 Rational Numbers: numbers that can be written as fractions. These include ALL whole numbers and ALL integers (including all perfect square and cube roots) as well as ALL fractions (both regular, improper and mixed numbers) and ALL decimals that stop or repeat. Examples: -1, - 49, - 27, 0, 1,287, 121, 216,, 19, 6, 0.467, Irrational Numbers: numbers that CAN NOT be written as fractions. These include decimals that do not stop and do not repeat, any numbers that have Pi (π) and any NON-PERFECT square and cube roots. Examples: -0.24, - 8, - 12, , 2, 9, 2π, π Practice Problems: Next to each number, write ALL categories of numbers as listed above that the number belongs to π ,

5 Target 4: Rational Approximation To find the rational approximation of an irrational square root, first find the two perfect square roots it falls between. Then set up a fraction to find the decimal part. If you are working with Pi, estimate Pi as.14 and perform the given operation. If a square root has a number in front of it, this means to multiply your rational approximation by that front number. Example: Find the rational approximation of 2 6 Step 1: 6 falls between 4 and 9 so Since 6 is closer to 4 than to 9, it will come before the halfway point. This means the answer to the nearest then has to be one of the following: To find which answer it is, we set up a fraction of our number. The distance from the beginning of the number line to our square root is the distance from 4 to 6 which is 2. This is the numerator. The whole distance across the number line us from 4 to 9 which is 5. This is the denominator so out fraction is 2 5. We then use long division to change the fraction to a decimal. We only need to divide until we get to the hundredths place value so we can use that to round to the nearest tenth = 2.0 so my answer is 2.4. Now I finish by multiply by So 2.4 * 2 = 4.8. Example: 2π (multiply 2 and π) so 2 *.14 = 6.28 which rounds to 6. to nearest tenth. Practice Problems: Find the rational approximation of each of the given numbers to the nearest tenth: π 2

Estimating with Square Roots

ACTIVITY 3.2 Estimating with Square Roots The square root of most numbers is not an integer. You can estimate the square root of a number that is not a perfect square. Begin by determining the two perfect

Square Roots of Perfect Squares. How to change a decimal to a fraction (review)

Section 1.1 Square Roots of Perfect Squares How to change a decimal to a fraction (review) A) 0.6 The 6 is in the first decimal position called the tenths place. Therefore, B) 0.08 The 8 is in the second

Order and Compare Rational and Irrational numbers and Locate on the number line

806.2.1 Order and Compare Rational and Irrational numbers and Locate on the number line Rational Number ~ any number that can be made by dividing one integer by another. The word comes from the word "ratio".

Roots and Radicals Chapter Questions 1. What are the properties of a square? 2. What does taking the square root have to do with the area of a square? 3. Why is it helpful to memorize perfect squares?

Unit 2: Exponents. 8 th Grade Math 8A - Mrs. Trinquero 8B - Dr. Taylor 8C - Mrs. Benefield

Unit 2: Exponents 8 th Grade Math 8A - Mrs. Trinquero 8B - Dr. Taylor 8C - Mrs. Benefield 1 8 th Grade Math Unit 2: Exponents Standards and Elements Targeted in the Unit: NS 1 Know that numbers that are

Numbers & Operations Chapter Problems

Numbers & Operations 8 th Grade Chapter Questions 1. What are the properties of a square? 2. What does taking the square root have to do with the area of a square? 3. Why is it helpful to memorize perfect

Number Sense Unit 1 Math 10F Mrs. Kornelsen R.D. Parker Collegiate

Unit 1 Math 10F Mrs. Kornelsen R.D. Parker Collegiate Lesson One: Rational Numbers New Definitions: Rational Number Is every number a rational number? What about the following? Why or why not? a) b) c)

Math Fundamentals for Statistics (Math 52) Unit 2:Number Line and Ordering. By Scott Fallstrom and Brent Pickett The How and Whys Guys.

Math Fundamentals for Statistics (Math 52) Unit 2:Number Line and Ordering By Scott Fallstrom and Brent Pickett The How and Whys Guys Unit 2 Page 1 2.1: Place Values We just looked at graphing ordered

Chapter 7 Math Guide

I can write fractions as a sum Write as unit fractions This means the fractions are broken into each individual unit/1 single piece. The fraction is /6. The model shows that pieces are shaded in. If you

Category A: Estimating Square Roots and Cube Roots - 3

Category A: Estimating Square Roots and Cube Roots When estimating irrational numbers, the easiest way to compare values is by squaring (or cubing) the given values. Ex: Between which two consecutive numbers

Pre-Test Unit 7: Real Numbers KEY

Pre-Test Unit 7: Real Numbers KEY No calculator necessary. Please do not use a calculator. Convert the following fraction to a decimal or decimal to a fraction. (5 pts; 3 pts for correct set-up/work, 2

Name Date Summer Math Completed 5 th grade Entering 6 th grade Instructions: Please complete the following problems showing all work. This packet is due on the first day of school and will count as your

Perfect Squares that are Written as Fractions or Decimals

Math 9: Unit 1 Lesson 2 Perfect Squares that are Written as Fractions or Decimals Part 1: Fractions There are two ways to determine the square root of a perfect square that is written as a fraction: 1.

By Scott Fallstrom and Brent Pickett The How and Whys Guys

Math Fundamentals for Statistics I (Math 52) Unit 2:Number Line and Ordering By Scott Fallstrom and Brent Pickett The How and Whys Guys This work is licensed under a Creative Commons Attribution- NonCommercial-ShareAlike

Focus on Mathematics

Focus on Mathematics Year 4 Pre-Learning Tasks Number Pre-learning tasks are used at the start of each new topic in Maths. The children are grouped after the pre-learning task is marked to ensure the work

Radical Expressions and Graph (7.1) EXAMPLE #1: EXAMPLE #2: EXAMPLE #3: Find roots of numbers (Objective #1) Figure #1:

Radical Expressions and Graph (7.1) Find roots of numbers EXAMPLE #1: Figure #1: Find principal (positive) roots EXAMPLE #2: Find n th roots of n th powers (Objective #3) EXAMPLE #3: Figure #2: 7.1 Radical

What I can do for this unit:

Unit 1: Real Numbers Student Tracking Sheet Math 10 Common Name: Block: What I can do for this unit: After Practice After Review How I Did 1-1 I can sort a set of numbers into irrationals and rationals,

Outcome 9 Review Foundations and Pre-Calculus 10

Outcome 9 Review Foundations and Pre-Calculus 10 Level 2 Example: Writing an equation in slope intercept form Slope-Intercept Form: y = mx + b m = slope b = y-intercept Ex : Write the equation of a line

We could also take square roots of certain decimals nicely. For example, 0.36=0.6 or 0.09=0.3. However, we will limit ourselves to integers for now.

7.3 Evaluation of Roots Previously we used the square root to help us approximate irrational numbers. Now we will expand beyond just square roots and talk about cube roots as well. For both we will be

CHAPTER 1 MATHEMATICAL CONCEPTS

CHAPTER 1 MATHEMATICAL CONCEPTS Part I Expressing Numbers that are Very Large or Very Small 1. Scientific Notation In the study of chemistry we often encounter numbers that are very large or very small.

Mental Calculation Policy 2014

Mental Calculation Policy 2014 RECEPTION Children count reliably with numbers from one to 20 and place them in order. Children can say which number is one more or one less than a given number up to 20

Number Sense and Decimal Unit Notes

Number Sense and Decimal Unit Notes Table of Contents: Topic Page Place Value 2 Rounding Numbers 2 Face Value, Place Value, Total Value 3 Standard and Expanded Form 3 Factors 4 Prime and Composite Numbers

An ordered collection of counters in rows or columns, showing multiplication facts.

Addend A number which is added to another number. Addition When a set of numbers are added together. E.g. 5 + 3 or 6 + 2 + 4 The answer is called the sum or the total and is shown by the equals sign (=)

Correlation of USA Daily Math Grade 5 to Common Core State Standards for Mathematics

Correlation of USA Daily Math Grade 5 to Common Core State Standards for Mathematics 5.OA Operations and Algebraic Thinking (Mondays) 5.OA.1 Use parentheses, brackets, or p. 1 #3 p. 7 #3 p. 12 Brain Stretch

"No math concept is beyond the grasp of a child, if it is presented at the child's level." ~Jerry Mortensen. Mortensen Math

Fractions Mortensen Math http://crewtonramoneshouseofmath.blogspot.com/2014/07/base-ten-blocks-for-fractions-success.html When working with fractions, start with small denominators-keep the denominators

NOTES: SIGNED INTEGERS DAY 1

NOTES: SIGNED INTEGERS DAY 1 MULTIPLYING and DIVIDING: Same Signs (POSITIVE) + + = + positive x positive = positive = + negative x negative = positive Different Signs (NEGATIVE) + = positive x negative

The Real Number System and Pythagorean Theorem Unit 9 Part B

The Real Number System and Pythagorean Theorem Unit 9 Part B Standards: 8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion;

Hillhead High School. Fractions. What you need to know. S.O Grady 1

Fractions What you need to know S.O Grady What is a fraction? A fraction is a part of a whole (). Fractions consist of two numbers, a numerator and a denominator. Top number How many parts we have Bottom

Wheels Diameter / Conversion of Units

Note to the teacher On this page, students will learn about the relationships between wheel diameter, circumference, revolutions and distance. They will also convert measurement units and use fractions

Math 154 :: Elementary Algebra

Math :: Elementary Algebra Section 9. Section 9. Section 9. Section 9. Section 9. Section 9.6 Math :: Elementary Algebra Section 9. Introduction to Square Roots. This answer should be in your own words..

Adding Fractions with Different Denominators. Subtracting Fractions with Different Denominators

Adding Fractions with Different Denominators How to Add Fractions with different denominators: Find the Least Common Denominator (LCD) of the fractions Rename the fractions to have the LCD Add the numerators

The bottom number in the fraction is called the denominator. The top number is called the numerator.

For Topics 8 and 9, the students should know: Fractions are a part of a whole. The bottom number in the fraction is called the denominator. The top number is called the numerator. Equivalent fractions

Extra Practice 1. Name Date. Lesson 1: Numbers in the Media. 1. Rewrite each number in standard form. a) 3.6 million b) 6 billion c)

Master 4.27 Extra Practice 1 Lesson 1: Numbers in the Media 1. Rewrite each number in standard form. 3 a) 3.6 million b) 6 billion c) 1 million 4 2 1 d) 2 billion e) 4.25 million f) 1.4 billion 10 2. Use

Extra Practice 1. Name Date. Lesson 1: Numbers in the Media. 1. Rewrite each number in standard form. a) 3.6 million

Master 4.27 Extra Practice 1 Lesson 1: Numbers in the Media 1. Rewrite each number in standard form. a) 3.6 million 3 b) 6 billion 4 c) 1 million 2 1 d) 2 billion 10 e) 4.25 million f) 1.4 billion 2. Use

Course Syllabus - Online Prealgebra

Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 1.1 Whole Numbers, Place Value Practice Problems for section 1.1 HW 1A 1.2 Adding Whole Numbers Practice Problems for section 1.2 HW 1B 1.3 Subtracting Whole Numbers

5.1 Congruent Triangles 99 Mastery Practice Squares Square Roots Cubes Cube Roots 15 Mastery Practice 21

Chapter - Squares, Square Roots, Cubes and Cube Roots. Squares. Square Roots 7. Cubes. Cube Roots 5 Mastery Practice Chapter - Rational and Irrational Numbers. Rational Numbers. Real Numbers 7. Operations

1. What percentage of the hundredths grids below are shaded in?

Math Review Fractions, Ratio and Percent (Units 6 & 7) 1. What percentage of the hundredths grids below are shaded in? 45% 75% 5% 2. Write one part-to-whole and one part-to-part ratio for the following

CALCULATING SQUARE ROOTS BY HAND By James D. Nickel

By James D. Nickel Before the invention of electronic calculators, students followed two algorithms to approximate the square root of any given number. First, we are going to investigate the ancient Babylonian

Squares and Square Roots Algebra 11.1

Squares and Square Roots Algebra 11.1 To square a number, multiply the number by itself. Practice: Solve. 1. 1. 0.6. (9) 4. 10 11 Squares and Square Roots are Inverse Operations. If =y then is a square

Name Chapter 1 and 2 Review. Indicate the answer choice that best completes the statement or answers the question.

Name Chapter 1 and 2 Review 1. The volume of the cube is 512 in 3. Find the side length of the cube. Indicate the answer choice that best completes the statement or answers the question. Estimate to the

Welcome to Norwalk High School!

Welcome to Norwalk High School! You are about to embark on the next journey in your educational career. We are looking forward to a year-long adventure with you in Algebra. There are a team of teachers

CHAPTER 3 DECIMALS. EXERCISE 8 Page Convert 0.65 to a proper fraction may be written as: 100. i.e = =

CHAPTER 3 DECIMALS EXERCISE 8 Page 21 1. Convert 0.65 to a proper fraction. 0.65 may be written as: 0.65 100 100 i.e. 0.65 65 100 Dividing both numerator and denominator by 5 gives: 65 13 100 20 Hence,

1 /4. (One-Half) (One-Quarter) (Three-Eighths)

LESSON 4: Fractions: A fraction is a part of a whole. Slice a pizza, and you will have fractions: 1 /2 1 /4 3 /8 (One-Half) (One-Quarter) (Three-Eighths) The top number tells how many slices you have and

Real Numbers and the Number Line. Unit 1 Lesson 3

Real Numbers and the Number Line Unit 1 Lesson 3 Students will be able to: graph and compare real numbers using the number line. Key Vocabulary: Real Number Rational Number Irrational number Non-Integers

Section 1.5 An Introduction to Logarithms

Section. An Introduction to Logarithms So far we ve used the idea exponent Base Result from two points of view. When the base and exponent were given, for instance, we simplified to the result 8. When

Lesson 1 6. Algebra: Variables and Expression. Students will be able to evaluate algebraic expressions.

Lesson 1 6 Algebra: Variables and Expression Students will be able to evaluate algebraic expressions. P1 Represent and analyze patterns, rules and functions with words, tables, graphs and simple variable

Find the value of the expressions. 3 x = 3 x = = ( ) 9 = 60 (12 + 8) 9 = = 3 9 = 27

PreAlgebra Concepts Important Concepts exponent In a power, the number of times a base number is used as a factor order of operations The rules which tell which operation to perform first when more than

Math 205 Test 2 Key. 1. Do NOT write your answers on these sheets. Nothing written on the test papers will be graded

Math 20 Test 2 Key Instructions. Do NOT write your answers on these sheets. Nothing written on the test papers will be graded. 2. Please begin each section of questions on a new sheet of paper. 3. Please

Powers and roots 6.1. Previous learning. Objectives based on NC levels and (mainly level ) Lessons 1 Squares, cubes and roots.

N 6.1 Powers and roots Previous learning Before they start, pupils should be able to: use index notation and the index laws for positive integer powers understand and use the order of operations, including

Station 1. Rewrite each number using Scientific Notation 1. 6,890,000 = ,560,000 = 3. 1,500,000,000 = 4. 8,200 = 6. 0.

Station 1 Rewrite each number using Scientific Notation 1. 6,890,000 = 2. 240,560,000 = 3. 1,500,000,000 = 4. 8,200 = 5. 50 = 6. 0.00000000265 = 7. 0.0009804 = 8. 0.000080004 = 9. 0.5 = Station 2 Add using

a) 1/2 b) 3/7 c) 5/8 d) 4/10 e) 5/15 f) 2/4 a) two-fifths b) three-eighths c) one-tenth d) two-thirds a) 6/7 b) 7/10 c) 5/50 d) ½ e) 8/15 f) 3/4

MATH M010 Unit 2, Answers Section 2.1 Page 72 Practice 1 a) 1/2 b) 3/7 c) 5/8 d) 4/10 e) 5/15 f) 2/4 Page 73 Practice 2 a) two-fifths b) three-eighths c) one-tenth d) two-thirds e) four-ninths f) one quarter

Lesson 0.1 The Same yet Smaller

Lesson 0.1 The Same yet Smaller 1. Write an expression and find the total shaded area in each square. In each case, assume that the area of the largest square is 1. a. b. c. d. 2. Write an expression and

2.8 Estimating Square Roots

2.8 Estimating Square Roots YOU WILL NEED a calculator GOAL Use perfect square benchmarks to estimate square roots of other fractions and decimals. INVESTIGATE the Math Bay is preparing for the Egg Drop

CK-12 Algebra II with Trigonometry Concepts 1

1.1 Subsets of Real Numbers 1. Rational Number. Irrational Number. Rational Number 4. Whole Number 5. Integer 6. Irrational Number 7. Real, Rational, Integer, Whole, and Natural Number 8. Real and Rational

Can the number be represented as a fraction? What are the different categories of numbers? CPM Materials modified by Mr. Deyo

Common Core Standard: 8.NS.1, 8.NS.2, 8.EE.2 Can the number be represented as a fraction? What are the different categories of numbers? CPM Materials modified by Mr. Deyo Title: IM8 Ch. 9.2.4 What Kind

5-6 Study Guide. Radical Expressions and Rational Exponents. Attendance Problems. Simplify each expression. (No decimal answers!

Page 1 of 12 Radical Expressions and Rational Exponents Attendance Problems. Simplify each expression. (No decimal answers) 11 8 7 7 2 2.. 2. 11 6. I can rewrite radical expressions by using rational exponents.

Assignment 5 unit3-4-radicals. Due: Friday January 13 BEFORE HOMEROOM

Assignment 5 unit3-4-radicals Name: Due: Friday January 13 BEFORE HOMEROOM Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Write the prime factorization

Class 8 Cubes and Cube Root

ID : in-8-cubes-and-cube-root [1] Class 8 Cubes and Cube Root For more such worksheets visit www.edugain.com Answer the questions (1) Find the value of A if (2) If you subtract a number x from 15 times

Summer Solutions Problem Solving Level 4. Level 4. Problem Solving. Help Pages

Level Problem Solving 6 General Terms acute angle an angle measuring less than 90 addend a number being added angle formed by two rays that share a common endpoint area the size of a surface; always expressed

find more or less than a given number find 10 or 100 more or less than a given number

count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number Number: Number and Place Value COUNTING Consolidate count to and across 100, forwards and backwards, beginning

Write each expression using exponents a b c x x x y y x. x y. x 3 y. x y. x y

1. Which of the following is equivalent to? 13.40 3.25 0.325 0.325 Write the decimal as a fraction or mixed number in simplest form. 2. 1.35 Replace each with , or = to make a true statement. 3.

2. Questions on Classwork and Homework form yesterday. 4. Completing the square to solve quadratic

1. Warm -up word problem - 2. Questions on Classwork and Homework form yesterday 3. Number Sense. 4. Completing the square to solve quadratic equations 1 2 3 Apr 12 12:35 PM 4 Apr 13 2:12 PM 5 6 7 factors

Grade 9 ~ Unit 1 Part 1: Square Roots

Grade 9 ~ Unit 1 Part 1: Square Roots Name : Sec 1.1: Square Roots of Perfect Squares. Review from Grade 8 If we can represent an area using squares then it is a perfect square. For example, the numbers

I can explain the effect of multiplying and dividing numbers by 10, 100 and 1000.

I can explain the effect of multiplying and dividing numbers by 10, 100 and 1000. Explain how you multiply 36x10=, 72x100=, 57x1000= Explain how you divide 55 by 10, 67 by 100 and 33 by 1000. 36x10=360

GAP CLOSING. Powers and Roots. Intermediate / Senior Facilitator Guide

GAP CLOSING Powers and Roots Intermediate / Senior Facilitator Guide Powers and Roots Diagnostic...5 Administer the diagnostic...5 Using diagnostic results to personalize interventions...5 Solutions...5

Developing Conceptual Understanding of Number. Set D: Number Theory

Developing Conceptual Understanding of Number Set D: Number Theory Carole Bilyk cbilyk@gov.mb.ca Wayne Watt wwatt@mts.net Vocabulary digit hundred s place whole numbers even Notes Number Theory 1 odd multiple

5.7 Introduction to Square Roots

5.7. INTRODUCTION TO SQUARE ROOTS 425 5.7 Introduction to Square Roots Recall that x 2 = x x. The Square of a Number. Thenumber x 2 is calledthe square ofthe number x. Thus, for example: 9 2 = 9 9 = 81.

Using column addition, keep the decimal points aligned one beneath the other to keep the correct place value of the digits.

Q1-5. Using column addition, keep the decimal points aligned one beneath the other to keep the correct place value of the digits. Q1. 1. 6 3 8. 2 + 3. 2 5 4 3. 0 5 [1.6 + 38.2 + 3.25 = 43.05] Q2. 0. 1

Fractions & Decimals Student Clinical Interview

Fractions & Decimals Student Clinical Interview Fractions Learning Pathway Curricular Connection QUESTION/PROMPT/VISUAL Anticipated Response Notes Unit Fractions Unit A Use proportional reasoning to make

Intermediate Mathematics League of Eastern Massachusetts

Meet #5 March 2009 Intermediate Mathematics League of Eastern Massachusetts Meet #5 March 2009 Category 1 Mystery 1. Sam told Mike to pick any number, then double it, then add 5 to the new value, then

To divide a number by a power of 10, you can use the exponent to determine how the position of the decimal point changes in the quotient.

Lesson 5.1 Algebra Division Patterns with Decimals To divide a number by 1, 1, or 1,, use the number of zeros in the divisor to determine how the position of the decimal point changes in the quotient.

Pythagorean Theorem Unit

Pythagorean Theorem Unit TEKS covered: ~ Square roots and modeling square roots, 8.1(C); 7.1(C) ~ Real number system, 8.1(A), 8.1(C); 7.1(A) ~ Pythagorean Theorem and Pythagorean Theorem Applications,

Section 2.1 Extra Practice

Section. Extra Practice. BLM 5.. Identify the rational numbers. a) 7 5 0.606 8 b) 0. 9. 0 0 7.. Write the opposite of each rational number. a) 9 b) c) 7.6 d) 6. e) 0 f) 7 5 7. Match each letter on the

Math + 4 (Red) SEMESTER 1. { Pg. 1 } Unit 1: Whole Number Sense. Unit 2: Whole Number Operations. Unit 3: Applications of Operations

Math + 4 (Red) This research-based course focuses on computational fluency, conceptual understanding, and problem-solving. The engaging course features new graphics, learning tools, and games; adaptive

Estimating Square Roots To The Nearest Tenth

To The Nearest Tenth Free PDF ebook Download: To The Nearest Tenth Download or Read Online ebook estimating square roots to the nearest tenth in PDF Format From The Best User Guide Database hash marks

Lesson Paper Version Online Version. HM 12.4 ( 3 rd Gr.) Practice and enrichment, McGraw/Hill Write about Math (Tricky Times), HM 12.

Lesson Paper Version Online Version 1- Calendar HM 12.5 (3 rd Gr.) practice or enrichment sheets 2- Counting Patterns Cybersluth (more difficult patterns) and Super Teacher number patternsadvanced 4plus

An Overview of Mathematics 4

An Overview of Mathematics 4 Number (N) read, write, represent, and describe whole numbers to 10 000 using concrete materials, pictures, expressions (e.g., 400 + 7), words, place-value charts, and symbols

+ 4 ~ You divided 24 by 6 which equals x = 41. 5th Grade Math Notes. **Hint: Zero can NEVER be a denominator.**

Basic Fraction numerator - (the # of pieces shaded or unshaded) denominator - (the total number of pieces) 5th Grade Math Notes Mixed Numbers and Improper Fractions When converting a mixed number into

NUMBER, NUMBER SYSTEMS, AND NUMBER RELATIONSHIPS. Kindergarten:

Kindergarten: NUMBER, NUMBER SYSTEMS, AND NUMBER RELATIONSHIPS Count by 1 s and 10 s to 100. Count on from a given number (other than 1) within the known sequence to 100. Count up to 20 objects with 1-1

a. \$ b. \$ c. \$

LESSON 51 Rounding Decimal Name To round decimal numbers: Numbers (page 268) 1. Underline the place value you are rounding to. 2. Circle the digit to its right. 3. If the circled number is 5 or more, add

Intermediate A. Help Pages & Who Knows

& Who Knows 83 Vocabulary Arithmetic Operations Difference the result or answer to a subtraction problem. Example: The difference of 5 and is 4. Product the result or answer to a multiplication problem.

Georgia Department of Education Common Core Georgia Performance Standards Framework Fifth Grade Mathematics Unit 2

PRACTICE TASK: Adapted from Investigations in Number, Data, and Space: How Many Tens? How Many Ones? Addition, Subtraction, and the Number System. STANDARDS FOR MATHEMATICAL CONTENT MCC5.NBT.7 Add, subtract,

Meet # 1 October, Intermediate Mathematics League of Eastern Massachusetts

Meet # 1 October, 2000 Intermediate Mathematics League of Eastern Massachusetts Meet # 1 October, 2000 Category 1 Mystery 1. In the picture shown below, the top half of the clock is obstructed from view

Fraction Race. Skills: Fractions to sixths (proper fractions) [Can be adapted for improper fractions]

Skills: Fractions to sixths (proper fractions) [Can be adapted for improper fractions] Materials: Dice (2 different colored dice, if possible) *It is important to provide students with fractional manipulatives

Question Bank for grade 6. Numbers

Question Bank for grade 6 Q1. a) List the factors of 24 b) List the prime factors of 18 c) Write 24 as a product of its prime factors. d) List three multiples of 24 Q2.Complete the table below: Check the

MATHEMATICS QUARTERLY TEST MARCH 2015 GRADE 9

GENERAL EDUCATION AND TRAINING MATHEMATICS QUARTERLY TEST MARCH 01 GRADE 9 MARKS: 100 DURATION: HOURS Number of pages including cover page: 6 Mathematics Grade 9 March Test 01 INSTRUCTIONS AND INFORMATION

Objectives: Students will learn to divide decimals with both paper and pencil as well as with the use of a calculator.

Unit 3.5: Fractions, Decimals and Percent Lesson: Dividing Decimals Objectives: Students will learn to divide decimals with both paper and pencil as well as with the use of a calculator. Procedure: Dividing

MAT 0002 Final Review A. Acosta

1. The page design for a magazine cover includes a blank strip at the top called a header, and a blank strip at the bottom called a footer. In the illustration below, how much page length is lost because

MAT 0002 Final Review A. Acosta. 1. Round to the nearest thousand. Select the correct answer: a b. 94,100 c. 95,000 d.

1. Round 94156 to the nearest thousand. 94000 94,100 95,000 d. 94,200 2. Round \$67230 to the nearest \$100. \$68000 \$67000 \$67200 d. \$67300 3. Subtract: 851 (476 61) 314 1,266 436 d. 446 PAGE 1 4. From the

Intermediate Mathematics League of Eastern Massachusetts

Meet #5 March 2006 Intermediate Mathematics League of Eastern Massachusetts Meet #5 March 2006 Category 1 Mystery You may use a calculator today. 1. The combined cost of a movie ticket and popcorn is \$8.00.

Connected Mathematics 2, 6th Grade Units (c) 2006 Correlated to: Utah Core Curriculum for Math (Grade 6)

Core Standards of the Course Standard I Students will acquire number sense and perform operations with rational numbers. Objective 1 Represent whole numbers and decimals in a variety of ways. A. Change

Algebra/Geometry Session Problems Questions 1-20 multiple choice

lgebra/geometry Session Problems Questions 1-0 multiple choice nswer only one choice: (a), (b), (c), (d), or (e) for each of the following questions. Only use a number pencil. Make heavy black marks that

Q1. a) To work out how many children like Gospel add all the numbers that fall within the Gospel circle: [Gospel = 18 + 9 + 7 + 6 = 40] b) To work out how many children like Country add all the numbers

St. Michael s Episcopal School. Summer Math. for rising 6 th grade students

Page 1 St. Michael s Episcopal School Summer Math for rising 6 th grade students 2017 Students entering Sixth Grade should have mastered all basic facts, understand and identify place values to hundred

Module 5 Trigonometric Identities I

MAC 1114 Module 5 Trigonometric Identities I Learning Objectives Upon completing this module, you should be able to: 1. Recognize the fundamental identities: reciprocal identities, quotient identities,

I can use the four operations (+, -, x, ) to help me understand math.

I Can Common Core! 4 th Grade Math I can use the four operations (+, -, x, ) to help me understand math. Page 1 I can understand that multiplication fact problems can be seen as comparisons of groups (e.g.,

Squares and Square roots

Squares and Square roots Introduction of Squares and Square Roots: LECTURE - 1 If a number is multiplied by itsely, then the product is said to be the square of that number. i.e., If m and n are two natural