Covers new Math TEKS!

Covers new Math TEKS! 4 UPDATED FOR

GREEN APPLE GRADE 4 MATH GREEN APPLE EDUCATIONAL PRODUCTS Copyright infringement is a violation of Federal Law. by Green Apple Educational Products, Inc., La Vernia, TX. No part of this document (printed publication or digital file) may be copied, reproduced, translated, stored in retrieval systems, or transmitted in any way or by any means without prior written permission from Green Apple Educational Products, Inc. Limited permission of photocopying of student worksheets by an individual classroom teacher at a non-profit school who has purchased this document (printed publication or digital file) for his/her own class is permissible. If obtained as a digital file (PDF) via download, one copy of the file may be saved on a single computer usable only by a single classroom teacher for his/her individual classroom use. Reproduction of the document (printed publication or digital file) in any way for use by more than a single teacher, an entire campus, school system, for profit institutions, tutoring centers, or any other purpose aside from the allowable limited permission noted above is strictly prohibited. G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 1

Grade 4 Math Book Category 1: Numerical Representations and Relationships Readiness Standards 4.2(B) represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals 9 4.2(G) relate decimals to fractions that name tenths and hundredths 21 4.3(D) compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, <, or = 33 Supporting Standards 51 4.2(A) interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left 4.2(C) compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols >, <, or = 4.2(D) round whole numbers to a given place value through the hundred thousands place 4.2(E) represent decimals, including tenths and hundredths, using concrete and visual models and money 4.2(F) compare and order decimals using concrete and visual models to the hundredths 4.2(H) determine the corresponding decimal to the tenths or hundredths place of a specified point on a number line 4.3(A) represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b>0, including when a > b 4.3(B) decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations 4.3(C) determine if two given fractions are equivalent using a variety of methods G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 2

4.3(G) represent fractions and decimals to the tenths or hundredths as distances from zero on a number line G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 3

Category 2: Computations and Algebraic Relationships Readiness Standards 4.3(E) represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations 75 4.4(A) add and subtract whole numbers and decimals to the hundredths place using the standard algorithm 95 4.4(H) solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders 107 4.5(A) represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity 119 4.5(B) represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence 135 Supporting Standards 159 4.3(F) evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, ¼, ½, ¾, and 1, referring to the same whole 4.4(B) determine products of a number and 10 or 100 using properties of operations and place value understandings 4.4(C) represent the product of 2 two-digit numbers using arrays, area models, or equations, including perfect squares through 15 by 15 4.4(D) use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties 4.4(E) represent the quotient of up to a four-digit whole number divided by a one-digit whole number using arrays, area models, or equations G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 4

4.4(F) use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor 4.4(G) round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 5

Category 3: Geometry and Measurement Readiness Standards 4.5(D) solve problems related to perimeter and area of rectangles where dimensions are whole numbers 179 4.6(D) classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size 195 4.7(C) determine the approximate measures of angles in degrees to the nearest whole number using a protractor 215 4.8(C) solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate 245 Supporting Standards 263 4.6(A) identify points, lines, line segments, rays, angles, and perpendicular and parallel lines 4.6(B) identify and draw one or more lines of symmetry, if they exist, for a two-dimensional figure 4.6(C) apply knowledge of right angles to identify acute, right, and obtuse triangles 4.7(D) draw an angle with a given measure 4.7(E) determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures 4.8(A) identify relative sizes of measurement units within the customary and metric systems 4.8(B) convert measurements within the same measurement system, customary or metric, from a smaller unit into a larger unit or a larger unit into a smaller unit when given other equivalent measure represented in a table G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 6

Category 4: Data Analysis and Personal Financial Literacy Readiness Standards 4.9(A) represent data on a frequency table, dot plot, or stem-and-leaf plot marked with whole numbers and fractions 291 Supporting Standards 321 4.9(B) solve one- and two-step problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot 4.10(A) distinguish between fixed and variable expenses 4.10(B) calculate profit in a given situation 4.10(E) describe the basic purpose of financial institutions, including keeping money safe, borrowing money, and lending Answer Key 345 G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 7

G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 8

Reporting Category 1 Numerical Representations and Relationships TEK 4.2(B) Represent the Value of Digits in Whole Numbers and Decimals Guided Practice 1 The number below is written in expanded notation. 40,000 + 3,000 + 100 + 80 + 5 How is this number written in standard form? A 403,185 B 43,185 C 430,185 D 40,003,185 2 The area of Texas is 268,820 square miles. How is this number written in expanded form? A 200,000 + 60,000 + 8,000 + 800 + 2 B 2,000,000 + 600,000 + 8,000 + 800 + 20 C 200,000 + 60,000 + 8,000 + 800 + 20 D Not here 3 Which of the following numerals represents the number one billion? A 100,000,000 B 1,000,000 C 1,000,000,000 D 10,000,000 G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 9

4 The number below is written in expanded notation. 300,000 + 70,000 + 100 + 90 + 2 + 0.5 How is this number written in standard form? A 37,192.5 B 370,192.5 C 307,192.05 D 300,070,192.5 5 The population of Texas is about twenty-six million, four hundred fifty thousand. How is this number written in standard form? A 26,450,000 B 26,400,050 C 26,000,450 D Not here 6 The number below is written in expanded notation. 1,000 + 500 + 9 + 0.7 +0.04 How is this number written in standard form? A 15,974 B 1,590.74 C 1,509.74 D 1,597.4 G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 10

7 Pet ownership in the United States has nearly tripled in the past 40 years. Currently there are about 164,000,000 owned pets in the United States. How is this number written in words? A B C D One hundred million, sixty-four thousand One hundred sixty-four thousand One hundred sixty four million One hundred thousand, sixty-four hundred 8 The average price of a home in the Southern region of the United States is one hundred eighty-four thousand, eight hundred dollars. How is this price written as a numeral? A $100,084,800.00 B $184,800.00 C $1,084,800.00 D $184,000.00 9 The number below is written in expanded notation. 500,000,000 + 20,000,000 + 300,000 + 6,000 + 80 How is this number written in standard form? A 52,368 B 502,360,080 C 520,306,080 D 500,023,680 G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 11

10 The cost of a new bike is $456.74 after tax. What is the value of the digit seven in this number? A 70 B 7.0 C 0.07 D 0.7 G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 12

Reporting Category 1 Numerical Representations and Relationships TEK 4.2(B) Represent the Value of Digits in Whole Numbers and Decimals Independent Practice 1 The number below is written in expanded notation. 800,000,000 + 70,000,000 + 400,000 + 6,000 + 0.7 + 0.01 How is this number written in standard form? A 87,460,071 B 870,406,071 C 870,406,000.71 D 87,046,000.71 2 The total area of the Earth is five hundred ten million square kilometers. How is this number written in standard form? A 510,000 B 510,000,000 C 51,000,000 D 500,010,000 3 The world record for the largest scoop of ice cream was set in Wisconsin. The historic ice cream scoop weighed in at 1,365.31 kilograms. How is this number written in expanded form? A 1,000 + 300 + 60 + 5 + 3 + 1 B 100,000 + 30,000 + 6,000 + 500 + 30 + 1 C 1,000 + 300 + 60 + 5 + 0.3 + 0.1 D 1,000 + 300 + 60 + 5 + 0.3 + 0.01 G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 13

4 The area of the continent Australia is 2,970,000 square miles. What is the value of the digit 2 in the number 2,970,000? A B C D Two thousand Two million Two hundred million Two hundred thousand 5 The number below is written in expanded notation. 600,000,000 + 400,000 + 8,000 + 0.08 How is this number written in standard form? A 600,400,800.08 B 600,408,008 C 600,408,000.8 D 600,408,000.08 6 The Caspian Sea is considered the largest lake on Earth. The surface area of the lake is three hundred seventy-one thousand square kilometers. How is this value written in expanded form? A 300 + 70 + 1 B 300,000 + 70 + 1 C 300,000 + 70,000 + 1,000 D Not here G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 14

7 Jose has read 24.25 hours this summer during his reading club challenge. How is this numeral written in expanded form? A 2,000 + 400 + 20 + 5 B 20 + 4 + 2 + 5 C 20 + 4 + 0.2 + 0.05 D 20 + 4 + 0.2 + 0.5 8 The longest ears on a dog measure 13.75 inches. What is the value of the digit in the tenths place? A 10 B 7 C 0.05 D 0.7 9 The internet is one of the most widely used technological devices in the world. In 2012 there were 360,985,492 people in the world using the internet. What is the value of the digit 6 in the number 360,985,492? A B C D Sixty Sixty billion Sixty thousand Sixty million G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 15

10 The distance from the Earth to the sun is ninety-two million, nine hundred sixty thousand miles. How is this number written as a numeral? A 92,960 B 92,960,000 C 92,000,960 D 920,960,000 G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 16

Reporting Category 1 Numerical Representations and Relationships TEK 4.2(B) Represent the Value of Digits in Whole Numbers and Decimals Assessment 1 The residential population of the United States is 318,400,000. How is this number written in word form? A B C D Three hundred eighteen thousand, four hundred Three hundred eighteen million, four hundred Three hundred eighteen, four hundred thousand Three hundred eighteen million, four hundred thousand 2 The number below is written in expanded notation. 900,000,000 + 5,000,000 + 40,000 + 700 + 0.4 + 0.09 How is this number written in standard form? A 95,040,749 B 905,047,000.49 C 905,040,700.49 D 950,040,749 3 The largest bubble ever blown with bubble gum measured 50.8 centimeters in diameter. What is the value of the digit 8 in this number? A 8 B 0.8 C 0.08 D Not here G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 17

4 Michael Phelps is a famous Olympic swimmer for the United States. His wingspan, the measure from fingertip to fingertip, measures 6.58 feet. What is the value of the digit in the hundredths place? A 600 B 800 C 0.5 D 0.08 5 There are approximately thirty million species of animals living in rainforests around the world. How is this number written as a numeral? A 30,000,000 B 30,000 C 30,000,000,000 D Not here 6 The number below is written in expanded notation. 700,000,000 + 2,000,000 + 8,000 + 0.1 + 0.08 How is this number written in standard form? A 72,818 B 700,200,800.18 C 702,008,000.18 D 700,208,000.18 G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 18

7 The orbital period of the Earth around the sun is 365.26 days. How is this number written in expanded form? A 300 + 60 + 5 + 2 + 6 B 30,000 + 6,000 + 500 + 20 + 6 C 300 + 60 + 5 + 0.2 + 0.6 D 300 + 60 + 5 + 0.2 + 0.06 8 The driving distance between Austin and Dallas is 195.8 miles. What is the place value of the digit 8 in the numeral 195.8? A B C D Tens Hundreds Tenths Hundredths 9 Cynthia went to the Super Store to purchase school supplies. She spent $43.07 at the store. How is this amount written in expanded form? A 4,000 + 300 + 7 B 40 + 3 + 7 C 40 + 3 + 0.7 D 40 + 3 + 0.07 G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 19

10 Installing solar panels on the roof saved a business $4,307.57 on electricity in one year. How is $4,307.57 written in expanded form? A 4,000 + 300 + 7 + 5 +70 B 4,000 + 300 + 7 + 0.5 + 0.07 C 400,000 + 30,000 + 700 + 50 + 7 D 400 + 30 + 7 + 0.5 + 0.7 G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 20

G R E E N A P P L E E D U C A T I O N A L P R O D U C T S Page 21