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Math Study Guide 2014 You have learned A LOT this year! This study guide will help you remember what we did so you can be ready for the test on ________________________ ! 1. Graphing 3.17 The student will a) collect and organize data, using observations, measurements, surveys, or experiments; b) construct a line plot, a picture graph, or a bar graph to represent the data; and c) read and interpret the data represented in line plots, bar graphs, and picture graphs and write a sentence analyzing the data. Linguistic Complexity What kind of graph is this? How can you tell? This is a ____ graph because ____. Which ____ was liked the most/least? How many more…? What does the key tell us? What data does this graph show? Language Forms and Conventions How many more=subtract survey-surveys Vocabulary Data, Categories, Survey, Poll, Bar graph, Data point, Increments, Picture graph, Scale, Horizontal axis, Vertical axis, y-axis, Key Title, Labels, Line plot, x-axis How many students liked 16 grape juice? ________ 14 12 How many more studnets 10 liked apple juice than orange juice? _______ 8 6 What would be a good title for 4 this graph? __________ 2 0 Orange Grape Apple What is the title of this pictograph? _____ How many students liked horses? ________ How many students liked cats and dogs? _______ Number of books read over the summer How many books were read altogether? _______ How many books did Andrew and John read in total? _________ Who read the least amount of books?______________ Favorite City How many people voted for Sydney? _________ How many fewer people chose Sydney than Paris? _________ Hours spent swimming Complete the frequency chart. How many people spent 4 hours swimming? _______ How many people swam either two hours or five hours? __________ Using the data from the question above, create a line plot, bar graph, and pictograph. 2. Place Value 3.1 The student will a) read and write six-digit numerals and identify the place value and value of each digit Linguistic Complexity What digit is in the ____ place? ___ is in the ___ place. What is the value of the digit in the ___ place? The value is ____. Language Forms and Conventions expand-expanded one-ones ten-tens Vocabulary Digit, Place value, Number, Numeral, Standard form, Expanded form Here are ALL the place value places you know! That’s a lot! Write what the 9 represents in the numeral: 394,819? Write a number with a 9 in the hundreds place. Find the digit in the thousands place in the numeral: 284,098 673 or 600 or 699…lots of right answers! Write a number that has a 2 in the thousands place. 4,000 4 Write a number that has a 9 in the tens place. In the number 852,929 what place is the 8 in? In the number 40,751 what is the value of the 7? Circle the 3 numbers that have a 4 in the ten 1,841 43,181 408,127 64,087 thousands place 340,167 197,194 10,401 948,054 Standard Form Expanded 7,293 7,000+200+90+3 Word form Seven thousand, two hundred ninety three Use the number 6,529 to complete the boxes below: Standard form Expanded Word form 3. Rounding 3.1 b) The student will round whole numbers, 9,999 or less, to the nearest ten, hundred, and thousand; and Linguistic Complexity What would ___ round to? ___ rounds to ___ because ____. Language Forms and Conventions round-rounds-rounded-rounding Vocabulary Rounding, Estimation Round 768 to the nearest ten Round 768 to the nearest hundred Round 768 to the nearest thousand 770 Round to the nearest ten 800 Round to the nearest hundred 1,000 Round to the nearest thousand 532 = _______________ 532 = _______________ Circle all the numbers that can be rounded to 1,000 1,293 2,202 1,429 1,743 532 = _______________ 1,939 553 Write a number that would round to 250 To the nearest hundreds, how many pounds of candy were sold in February? Use this table to answer the questions to the right: Pounds of Candy Sold October 6,812 February 3,157 April 4,878 To the nearest tens, how many pounds of candy were sold in October? To the nearest thousands, how many pounds of candy were sold in April? 4. Comparing Numbers 3.1 The student will c) Compare two whole numbers between 0 and 9,999, using symbols (>, <, or = ) and words (greater than, less than, or equal to). Linguistic Complexity ____ is greater than/ less than/ equal to ____. Language Forms and Conventions Use the symbols (>,<,=) to make the following true: 826 ? 826 < 928 ? Use a phrase (greater than, less than, equal to) to make the following true: 1,892 ? 2,128 928 1,892 is less than 2,128 Use the symbols (>,<,=) to make the following true: 763 Vocabulary Greater than, Less than, Equal to, Compare Use a phrase (greater than, less than, equal to) to make the following true: 349 2,081 Circle all the statements that are true. 724 < 923 ? 5,142 682 > 689 745 < 682 7,593 < 7,823 563 = 563 752 > 578 8,483 is greater than 5,293 7,382 is less than 8,833 182 is greater than 56 5. Fact Families 3.2 The student will recognize and use the inverse relationships between addition/subtraction and multiplication/division to complete basic fact sentences. The student will use these relationships to solve problems. Linguistic Complexity Language Forms and Conventions Vocabulary Which of the following number relate-related-relative Inverse relationship, Factor, Number sentences is related to the fact ____? sentence, Related facts ___ is related because ___. Which of the following number sentences does not belong in a fact family with __,__, and ___? ___ does not belong because ____. Write the fact family for 8, 3, and 11 8 + 3 = 11 3 + 8 = 11 11 – 8 = 3 11 – 3 = 8 Write the fact family for 4, 12, and 16 Write the other number sentences related to 8 + 2 =10 Which of these ‘facts’ is wrong? 12 + 7 = 19 19 + 7 = 12 7 + 12 = 19 19 – 12 = 7 Which of these ‘facts’ is wrong? 2 + 13 = 15 13 + 2 = 15 13 – 2 = 15 15 – 2 = 13 Fill in the blank with the correct number. If 13 -3 = 10, then 10 + ____ = 13 If 10 + 6 = 16, then 16 = 10 - ____ 11 + 4 = 15, then 15 – 11= ___s 6. Addition 3.4 The student will estimate solutions to and solve single-step and multistep problems involving the sum of two whole numbers, each 9,999 or less, with or without regrouping. Linguistic Complexity How do you know? Language Forms and Conventions add-addend-addition Vocabulary Addend, Sum f 1 1 1 1 1 1 1 5, 1 6 8 8, 3 7 9 5 1 6 8 8 3 7 9 + 8 2 2 + 1 4 5 + 8 2 2 + 6 2 5 5, 9 9 0 8, 5 2 4 5, 9 9 0 9, 0 0 4 9, 4 6 2 3, 2 6 1 9, 4 6 2 3, 2 6 1 + 7 5 1 + 4 1 3 + 7 5 1 + 4 1 3 f f 7. Addition Properties 3.20 a) b) The student will investigate the identity and the commutative properties for addition; and identify examples of the identity and commutative properties for addition. Linguistic Complexity Which of the following shows the identity/ commutative property? Language Forms and Conventions add-addend-addition Communtative Property This is an order property. Changing the order of the addends does not change the sum. Vocabulary Property, Identity, Identity property, Commutative property, Equal 3 + 2 = 5 and 2 + 3 = 5 Identity Property When the number zero is added to another number or another number is added to the number zero, that number remains unchanged. 5 + 0 = 5 and 0 +105 = 105 Write an example of the communtative property. Write an example of the identity property Circle all the examples of the communtative property. 5 + 3 = 8 and 3 + 5 = 8 6 + 4 = 10 and 5 + 5 = 10 9 + 1 =10 nad 1 + 9 =10 Circle all the examples of the Identity property. 4+0=4 16 + 0 = 16 0 +0 = 0 15 + 1 = 16 8. Subtraction 3.4 The student will estimate solutions to and solve single-step and multistep problems involving the difference of two whole numbers, each 9,999 or less, with or without regrouping. Linguistic Complexity Is ___ a good estimate for this problem? ___ is/is not a good estimate because ____. Language Forms and Conventions subtract-subtraction estimate-estimation group-regroup Vocabulary Subtract, Sum, Difference, Estimate, Regroup, Rounding What is the difference between ___ and ___? The difference is ___. 4 11 5, 1 6 8 - 8 2 2 4, 3 4 4 - 2 9 10 4 11 5 11 7 9 9 10 3 0 0 5 1 6 1 8 0 0 0 1 4 5 - 8 2 8 - 6 2 2 1 5 5 4, 3 3 7, 3 7 8 6 0 5 4 9 3 9, 0 0 0 3, 2 6 1 - 5 5 5 - 4 1 3 - 7 0 0 4 5 1 + 9. Length and Perimeter 3.9 The student will estimate and use U.S. Customary and metric units to measure 1 a) length to the nearest -inch, inch, foot, yard, centimeter, and meter; 2 3.10 The student will a) measure the distance around a polygon in order to determine perimeter; and Linguistic Complexity Language Forms and Conventions What unit would you use to measure meter-centimeter ___? Why? I would use ___ to long-length measure because ___. Which of the measure-measurement following is a good estimate of the perimeter? Perimeter – distance around the outside of an object Find the perimeter. Vocabulary Foot, Inch, Length, Measure, Yard, Centimeter, Meter, Distance, Perimeter, Ruler, Estimate, Polygon, Square units, Surface Perimeter: 4+6+5=15cm Find the perimeter Find the perimeter. You need to use a rule to find the length in inches and centimetters. Rulers are found at the last page of the study guide. Find the length using your centimeter ruler 10. Multiplication Strategies 3.5 The student will recall multiplication facts through the twelves table, and the corresponding division facts. 3.6 The student will represent multiplication, using area, set, and number line models, and create and solve problems that involve multiplication of two whole numbers, one factor 99 or less and the second factor 5 or less. Linguistic Complexity What is the product of ___ and ___? The product is ___. Which of the following arrays shows the fact ___? This array shows ___ because ___. What is the area of this figure? The area is ___. Models What does this picture show? Language Forms and Conventions factor-factors multiply-multiplication Vocabulary Factor Product Area Multiply Array Number Lines 3 x 5 = 15 3 x 9 = 27 9 x 3 = 27 Arrays Repeated addition 3x4= 3 +3 6 6 x 4 = 24 Make an array for 4 x 3 = Show a model for 5 x 4 = Show 4 x 3 on your own number line Use repeated addition to solve 6 x 4 = 6 +3 9 9 +3 12 11. Division Strategies 3.6 The student will represent division, using area, set, and number line models, and create and solve problems that involve multiplication of two whole numbers, one factor 99 or less and the second factor 5 or less. Linguistic Complexity What is the quotient of ___ divided by ___? The quotient is ___. Which multiplication number sentence helps you solve this division problem? Models Language Forms and Conventions divide-division 27 ÷ 3 = 9 Vocabulary Equal Quotient divide Arrays 8÷2=4 Number Lines 27 ÷ 3 = 9 Show a model of 18 ÷ 6 = Make an array for 24 ÷ 3 = Show 21 ÷ 7 = on your own number line 12. Fact Families: Multiplication and Division 3.2 The student will recognize and use the inverse relationships between multiplication/division to complete basic fact sentences. The student will use these relationships to solve problems. Linguistic Complexity Language Forms and Conventions Vocabulary Which of the following number relate-related-relative Inverse relationship, Factor, Number sentences is related to the fact ____? fact family - families sentence, Related Facts, Numeral, Fact ___ is related because ___. Which of multiply-multiplication family, Multiply, Product, Divide, the following number sentences does divide-division Dividend, Divisor, Quotient, Addend, not belong in a fact family with __,__, Sum, Identity property, Commutative and ___? ___ does not belong property because ____.because ____. Write the fact family for 8, 3, and 24 8 X 3 = 11 3 X 8 = 11 11 ÷ 8 = 3 11 ÷ 3 = 8 Which of these ‘facts’ is wrong? 5 x 7 = 35 7 ÷ 5 = 35 7 x 5 = 35 35 ÷ 5 = 7 Which of these ‘facts’ is wrong? Write the fact family for 4, 12, and 3 Write the other number sentences related to 8 X 2 =16 2 x 8 = 16 8 x 2 = 16 16 ÷ 2 = 8 2 ÷ 8 = 16 Fill in the blank with the correct number. If 5 x 3 = 15, then 15 ÷ ____ = 3 If 7 x 6 = 42, then 6 = 42 ÷ ____ 9 x 4 = 36, then 36 ÷ 9 = ___ 13. Multiplication Properties 3.20 The student will a) investigate the identity and the commutative properties for multiplication; and b) identify examples of the identity and commutative properties of multiplication. Linguistic Complexity Which of the following shows the identity/ commutative property? Language Forms and Conventions multiply-multiplication Communtative Property This is an order property. Changing the order of the factors does not change the product Vocabulary Identity property, Commutative property Identity Property When the number one is multiplied by another number or another number is multiplied by the number one, that number remains unchanged. 1x9= 9 12 x 1 = 123 3 x 5 = 15 and 5 x 3 = 15 Write an example of the communtative property. Write an example of the identity property Circle all the examples of the communtative property. Circle all the examples of the identity property. 7x2=2x7 3x6=2x9 8x3=8x2 1 x 3=3 4 x 4=16 7x1=1 4x5=5x4 6x2=2x6 8x1=1+8 0 x 8=0 8 x 1=8 12 x 2=24 7x3=3x7 5 x 4 = 10 x 2 3x9=9x3 1x6=6 2 x 2=4 0 x 3=0 13. Area 3.10 The student will b) count the number of square units needed to cover a given surface in order to determine area. Linguistic Complexity Area – square units inside of an object 1 2 3 4 5 6 Language Forms and Conventions Find the area. Vocabulary Find the area. Area: 6 square units 14. Calendar 3.12 The student will identify equivalent periods of time, including relationships among days, months, and years, as well as minutes and hours. Linguistic Complexity Language Forms and Conventions Vocabulary How many minutes/ hours/ days / a.m.=morning Days, Weeks, Months, Hours, Minutes weeks/ months are in a hour/ day / p.m.=afternoon/night week/ month/ year? hour-hours What time does this clock show? The time is ___. The hour/minute hand is showing ____. Key information: 7 days in a week (Sunday-Saturday) 12 months in a year (January-December) 365 days in a year (every 4 years there are 366 days due to leap year) Certain months have 31 days (Jan, March, May, July, Aug, Oct, and Dec.) Certain months have 30 days (April, June, Sept, Nov) February has 28 days unless it is a leap year (every 4 years) and then it has 29 Circle all answers that are equal to 1 year. 365 days 7 days 12 months 11 months 361 days How many months would be in 3 years? 15. Money 3.8 The student will determine, by counting, the value of a collection of bills and coins whose total value is $5.00 or less, compare the value of the bills and coins, and make change. Linguistic Complexity What is the total amount of money show? If __ buys ___ and pays with ___, what will his change be? His change will be ___. Know the amounts of each bill and coin. Language Forms and Conventions coin-coins bill-bills dollar-dollars Vocabulary Dollars, Cents, Change coins bills Know how to add and subtract money (finding change) Pay – cost = change Find the amount. = Find the amount. = Find the amount. 4 quarters, 3 dimes = 1 quarter, 5 nickels, 3 pennies 2 dimes, 5 nickels, 1 penny = 3 quartrers, 3 nickels = Kasie goes into a store and buys 3 pieces of candy. One costs 85¢, one costs $1.65 and the last one costs $1.30. She gives the cashier $5.00. What is her change? Chase goes into a toy store and buys 2 toys. They each cost $2.15. He gives the cashier $5.00. How much change will he receive? 16. fractions 3.3 The student will a) name and write fractions represented by a model; b) model fractions and write the fractions’ names; and Linguistic Complexity What fraction of the figure is shaded? What is the numerator / denominator? The numerator / denominator is ___. Pictures Language Forms and Conventions numerator=top number denominator=bottom number shade-shaded Vocabulary Fraction, Numerator, Denominator, , Whole number Words Numbers Five sixths 5 6 1 8 One eighth Pictures Words Numbers One third 17. mixed numbers 3.3 The student will a) name and write fractions (including mixed numbers) represented by a model; b) model fractions (including mixed numbers) and write the fractions’ names; and Linguistic Complexity What fraction of the figure is shaded? What is the numerator / denominator? The numerator / denominator is ___. Which fraction is greater/less than 3¼ Language Forms and Conventions numerator=top number denominator=bottom number mix-mixed shade-shaded What is the mixed number Shade in the model to create the mixed number 3 3/5 Vocabulary Fraction, Numerator, Denominator, Mixed number, Whole number 18. comparing fractions 3.3 The student will c) compare fractions having like and unlike denominators, using words and symbols (>, <, or =). Linguistic Complexity What fraction of the figure is shaded? What is the numerator / denominator? The numerator / denominator is ___. Which fraction is greater/less than Language Forms and Conventions numerator=top number denominator=bottom number mix-mixed shade-shaded Which phrase (greater than, less than, or equal to) would you use to compare the following fractions? Vocabulary Fraction, Numerator, Denominator, Mixed number, Whole number, Greater than Less than Which symbol (>, <, =) would you use to compare the following fractions? = Less than Which phrase (greater than, less than, or equal to) would you use to compare the following fractions? Which symbol (>, <, =) would you use to compare the following fractions? 19. adding and subtracting fractions 3.7 The student will add and subtract proper fractions having like denominators of 12 or less. Linguistic Complexity What fraction of the figure is shaded? What is the numerator / denominator? The numerator / denominator is ___. Which fraction is greater/less than 1 5 + 3 5 Language Forms and Conventions numerator=top number denominator=bottom number mix-mixed shade-shaded I know that the easiest way for me to solve this is to write it with numbers. 4 = 5 2 3 - Vocabulary Fraction, Numerator, Denominator, Whole number 1 3 = 1 3 20. probability 3.18 The student will investigate and describe the concept of probability as chance and list possible results of a given situation. Linguistic Complexity What is the probability of ___? The probability is ___. What are all the possible outcomes of___? The possible outcome are___. It is likely/ unlikely / certain / impossible for ___ because ___. Language Forms and Conventions predict-prediction possible-impossible likely-unlikely equal-equally words we use when talking about probability. • Impossible • Unlikely • Equally Likely • Likely • Certain • As likely as Label each spinner with one of the 5 probability words. What are your chances of ♦ ? What are your chances of spinning a ♣? Vocabulary Possible outcome, Impossible event, Impossible, Unlikely, Predict, Equally, Likely, Probability, Certain, Least likely, Most likely, As likely as 21. patterns 3.19 The student will recognize and describe a variety of patterns formed using numbers, tables, and pictures, and extend the patterns, using the same or different forms. Linguistic Complexity What will come next in this pattern? Why? ___ will come next in the pattern because ___. Language Forms and Conventions repeat-repeating pattern-patterns What is the rule for this table? How can you tell? The rule is ___ because ___. You can add to a pattern, as well as figure out what the pattern is. Vocabulary Patterns, Table, Rule, Growing, Repeating, Extending, Numeric patterns, Geometric patterns, Multiples, Function 22. 2 digit by 1 digit multiplication 3.6 The student will represent multiplication and division, using area, set, and number line models, and create and solve problems that involve multiplication of two whole numbers, one factor 99 or less and the second factor 5 or less. Linguistic Complexity What is the product of ___ and ___? The product is ___. 3 2 9 x 4 Language Forms and Conventions multiply-multiplication product-products Vocabulary Multiply, Product, Factor 2 5 7 x 3 3 x 57 = Hmm…this is too hard written this way. 1 7 1 I’ll copy it over to make it easier! 1 1 6 5 x 68 = 3 4 x 9 23.Geometry 3.15 The student will identify and draw representations of points, line segments, rays, angles, and lines. Linguistic Complexity What are this properties of this shape? The properties are ___. How many vertices/edges/faces does ___ have? ___ has ___ vertices/edges/faces. Are these figures congruent? Why or why not? These figures are/are not congruent because ____. Line Ray Point Line Segment Angle Language Forms and Conventions angle-rectangle-triangle property-properties rectangle-rectangular vertex-vertices congruent-noncongruent Vocabulary Square, Rectangle, Triangle, Circle, Right angle, Opposite, Plane, Properties, Sphere, Cube, Rectangular prism, Square pyramid, Cone, Cylinder, Angle, Vertices, Edges, Faces, Solid geometric figure, Point, Line, Line segment, Ray, Endpoint, Vertex, Plane figures, Polygon, Sides, Size, Shape, Congruent, Congruency, Noncongruent 24.Geometry 3.16 The student will identify and describe congruent and noncongruent plane figures. Linguistic Complexity What are this properties of this shape? The properties are ___. How many vertices/edges/faces does ___ have? ___ has ___ vertices/edges/faces. Are these figures congruent? Why or why not? These figures are/are not congruent because ____. Language Forms and Conventions angle-rectangle-triangle property-properties rectangle-rectangular vertex-vertices congruent-noncongruent Vocabulary Square, Rectangle, Triangle, Circle, Right angle, Opposite, Plane, Properties, Sphere, Cube, Rectangular prism, Square pyramid, Cone, Cylinder, Angle, Vertices, Edges, Faces, Solid geometric figure, Point, Line, Line segment, Ray, Endpoint, Vertex, Plane figures, Polygon, Sides, Size, Shape, Congruent, Congruency, Noncongruent Conguent/congruency means same shape and same size Are they congurent? Are they congurent? No Draw a congruent shape: Draw conguent shapes 25.geometry 3.14 The student will identify, describe, compare, and contrast characteristics of plane and solid geometric figures (circle, square, rectangle, triangle, cube, rectangular prism, square pyramid, sphere, cone, and cylinder) by identifying relevant characteristics, including the number of angles, vertices, and edges, and the number and shape of faces, using concrete models. Linguistic Complexity What are this properties of this shape? The properties are ___. How many vertices/edges/faces does ___ have? ___ has ___ vertices/edges/faces. Are these figures congruent? Why or why not? These figures are/are not congruent because ____. Language Forms and Conventions angle-rectangle-triangle property-properties rectangle-rectangular vertex-vertices congruent-noncongruent Vocabulary Square, Rectangle, Triangle, Circle, Right angle, Opposite, Plane, Properties, Sphere, Cube, Rectangular prism, Square pyramid, Cone, Cylinder, Angle, Vertices, Edges, Faces, Solid geometric figure, Point, Line, Line segment, Ray, Endpoint, Vertex, Plane figures, Polygon, Sides, Size, Shape, Congruent, Congruency, Noncongruent Shere Retangular prosm cone cube cylinder 26. weight/mass 3.9 The student will estimate and use U.S. Customary and metric units to measure c) weight/mass in ounces, pounds, grams, and kilograms; and Linguistic Complexity Which unit would you use to measure ___? You would measure ___ using ___. Which is the best estimate for ___? Why Language Forms and Conventions measure-measurement pound-pounds Vocabulary weight, mass, ounce, pound, gram, kilogram weight ( grams, kilograms, ounces, pounds) How would you measure the weight of a How would you measure the weight of a 3rd grader? bike? In pounds 27. volume/capacity 3.9 The student will estimate and use U.S. Customary and metric units to measure b) liquid volume in cups, pints, quarts, gallons, and liters; Linguistic Complexity Which unit would you use to measure ___? You would measure ___ using ___. Which is the best estimate for ___? Why? Language Forms and Conventions cup-cups gallon-gallons measure-measurement Vocabulary Cup, Pint, Quart, Gallon, liter, Volume capacity (liters, cups, pints, quarts, and gallons) How would you measure the capacity of How would you measure the capacity of a a bathtub? swimming pool In cups or pints 28. Temperature 3.13 The student will read temperature to the nearest degree from a Celsius thermometer and a Fahrenheit thermometer. Real thermometers and physical models of thermometers will be used. Linguistic Complexity What tool would you use to measure temperature? To measure temperature you use a ___. What temperature does this thermometer show? Which piece of clothing would be good to wear on a day that is ___ degrees? Language Forms and Conventions measure-measurement 20°C (I wrote ‘C’ because this thermometer is measuring celcious.) Vocabulary Temperature, Celsius, Fahrenheit, Thermometer 29. Telling time 3.11 The student will a) tell time to the nearest minute, using analog and digital clocks; and Linguistic Complexity How many minutes/ hours/ days / weeks/ months are in a hour/ day / week/ month/ year? What time does this clock show? The time is ___. The hour/minute hand is showing ____. Language Forms and Conventions a.m.=morning p.m.=afternoon/night hour-hours Vocabulary Hours, Minutes, Half-hour, Quarter hour, Hour hand, Minute hand, Analog clock, Digital clock, a.m., p.m., Elapsed time 30. Elapsed Time 3.11 The student will b) determine elapsed time in one-hour increments over a 12-hour period. Linguistic Complexity How many minutes/ hours/ days / weeks/ months are in a hour/ day / week/ month/ year? What time does this clock show? The time is ___. The hour/minute hand is showing ____. Language Forms and Conventions a.m.=morning p.m.=afternoon/night hour-hours If Jeidi went to a movie at 2:45 and it lasted for two hours, what time did the movie end? Vocabulary Hours, Minutes, Half-hour, Quarter hour, Hour hand, Minute hand, Analog clock, Digital clock, a.m., p.m., Elapsed time Jimmy’s art class started at this time. 4:45 His class lasts for 3 hours. What time did his class end? 9:30 Summer Camp starts at this time. Delia started reading at 3:30 after school. She read for two hours. What time did she finish reading? Camp lasts for 6 hours. What time does it end?