4 How to Use This Book 180 Days of Math for Fifth Grade offers teachers and parents a full page of daily mathematics practice activities for each day of the school year Easy to Use and Standards Based[.]
How to Use This Book 180 Days of Math for Fifth Grade offers teachers and parents a full page of daily mathematics practice activities for each day of the school year Easy to Use and Standards-Based These activities reinforce grade-level skills across a variety of mathematical concepts The questions are provided as a full practice page, making them easy to prepare and implement as part of a classroom morning routine, at the beginning of each mathematics lesson, or as homework Every fifth-grade practice page provides 12 questions, each tied to a specific mathematical concept Students are given the opportunity for regular practice in each mathematical concept, allowing them to build confidence through these quick standards-based activities Question Mathematics Concept Addition or Subtraction Division Multiplication Place Value or Number Sense Fractions, Decimals, and Percents NCTM Standards Understands meanings of operations and how they relate to one another; Computes fluently and makes reasonable estimates Understands numbers, ways of representing numbers, relationships among numbers, and number systems; Understands place-value structure of the base-ten number system Recognizes and generates equivalent forms of fractions, decimals, and percents Order of Operations and Patterns Algebra Measurement Geometry Analyzes characteristics and properties of two- and threedimensional geometric shapes; Uses visualization and spacial reasoning to solve problems 10 Data Analysis 11 Probability Selects and uses appropriate statistical methods to analyze data 12 Word Problem/Logic Problem or Mathematical Reasoning Understands the meanings of operations and how they relate to one another; represent and analyze patterns and functions Understands patterns, relations, and functions; Represents and analyzes mathematical situations and structures using algebraic symbols Understands measurable attributes of objects and the units, systems, and processes of measurement; Applies appropriate techniques and formulas to determine measurements Understands and applies basic concepts of probability Solves problems that arise in mathematics and in other contexts; Applies and adapts a variety of appropriate strategies to solve problems Standards are listed with the permission of the National Council of Teachers of Mathematics (NCTM) NCTM does not endorse the content or validity of these alignments #50808—180 Days of Math for Fifth Grade © Shell Education How to Use This Book (cont.) Diagnostic Assessment Teachers can use the practice pages as diagnostic assessments The data analysis tools included with the book enable teachers or parents to quickly score students’ work and monitor their progress Teachers and parents can see at a glance which mathematics concepts or skills students may need to target in order to develop proficiency After students complete a practice page, grade each page using the answer key (pages 191–206) Then, complete the Practice Page Item Analysis (page 7, or pageitem.pdf ) for the whole class, or the Student Item Analysis (page 8, or studentitem.pdf ) for individual students These charts are also provided as both Microsoft Word® files (pageitem.doc and studentitem.doc) and as Microsoft Excel® files (pageitem.xls and studentitem.xls) Teachers can input data into the electronic files directly on the computer, or they can print the pages and analyze students’ work using paper and pencil To complete the Practice Page Item Analysis: t 8SJUFPSUZQFTUVEFOUTOBNFTJOUIFGBSMFGUDPMVNO%FQFOEJOHPOUIFOVNCFSPG students, more than one copy of the form may be needed or you may need to add rows t 5IFRVFTUJPOOVNCFSTBSFJODMVEFEBDSPTTUIFUPQPGUIFDIBSU&BDIJUFNDPSSFMBUFT with the matching question number from the practice page t 'PSFBDITUVEFOU SFDPSEBOX in the column if the student has the item incorrect If the item is correct, leave the item blank t *GZPVBSFVTJOHUIFExcel file, totals will be automatically generated If you are using the Word file or if you have printed the PDF, you will need to compute the totals Count the Xs in each row and column and fill in the correct boxes To complete the Student Item Analysis: t 8SJUFPSUZQFUIFTUVEFOUTOBNFPOUIFUPQSPX5IJTGPSNUSBDLTUIFPOHPJOHQSPHSFTT of each student, so one copy per student is necessary t 5IFRVFTUJPOOVNCFSTBSFJODMVEFEBDSPTTUIFUPQPGUIFDIBSU&BDIJUFNDPSSFMBUFT with the matching question number from the practice page t 'PSFBDIEBZ SFDPSEBOX in the column if the student has the item incorrect If the item is correct, leave the item blank t *GZPVBSFVTJOHUIFExcel file, totals will be automatically generated If you are using the Word file or if you have printed the PDF, you will need to compute the totals Count the Xs in each row and column and fill in the correct boxes #50808—180 Days of Math for Fifth Grade © Shell Education © Shell Education Question # # of Students Missing Each Question Sample Student Student Name Day: _ x x x 10 11 x 12 8/12 # Correct Directions: Record an X in cells to indicate where students have missed questions Add up the totals You can view: (1) which questions/concepts were missed per student; (2) the total correct score for each student; and (3) the total number of students who missed each question Practice Page Item Analysis How to Use This Book (cont.) #50808—180 Days of Math for Fifth Grade How to Use This Book (cont.) Student Item Analysis Directions: Record an X in cells to indicate where the student has missed questions Add up the totals You can view: (1) which questions/concepts the student missed; (2) the total correct score per day; and (3) the total number of times each question/concept was missed Student Name: Sample Student Question Day 1 X X X 10 11 12 # Correct X 8/12 Total #50808—180 Days of Math for Fifth Grade © Shell Education How to Use This Book (cont.) Using the Results to Differentiate Instruction Once data is gathered and analyzed, teachers can use the results to inform the way they differentiate instruction The data can help determine which concepts are the most difficult for students and which need additional instructional support and continued practice Depending on how often the practice pages are scored, results can be considered for instructional support on a daily or weekly basis Whole-Class Support The results of the diagnostic analysis may show that the entire class is struggling with a particular concept or group of concepts If these concepts have been taught in the past, this indicates that further instruction or reteaching is necessary If these concepts have not been taught in the past, this data is a great pre-assessment and demonstrates that students not have a working knowledge of the concepts Thus, careful planning for the length of the unit(s) or lesson(s) must be considered, and extra frontloading may be required Small-Group or Individual Support The results of the diagnostic analysis may show that an individual or small group of students is struggling with a particular concept or group of concepts If these concepts have been taught in the past, this indicates that further instruction or reteaching is necessary Consider pulling aside these students while others are working independently to instruct further on the concept(s) Teachers can also use the results to help identify individuals or groups of proficient students who are ready for enrichment or above-grade level instruction These students may benefit from independent learning contracts or more challenging activities Students may also benefit from extra practice using games or computer-based resources Teacher Resource CD The Teacher Resource CD provides the following resources: t /$5.$PSSFMBUJPOT$IBSU t 3FQSPEVDJCMF1%'TPGFBDIQSBDUJDFQBHF t %JSFDUJPOTGPSDPNQMFUJOHUIFEJBHOPTUJD*UFN"OBMZTJTGPSNT t 1SBDUJDF1BHF*UFN"OBMZTJT1%' Word document, and Excel spreadsheet t 4UVEFOU*UFN"OBMZTJT1%' Word document, and Excel spreadsheet © Shell Education #50808—180 Days of Math for Fifth Grade DAY Name: _ Directions Solve each problem SCORE 12 + = Y N Y N Y N Y N Y N _ Y N Write the fraction for the shaded part on the shape Y N _ Y N Y N x _ 5 24 ÷ = What is the place value of in 603? Write the number that comes next in the sequence 10 3+ 11 12 _ © Shell Education Is it impossible, likely, certain, or unlikely that you are at school today? _ = 17 Calculate the perimeter of a rectangle that is cm by cm What shape is located at (G,5)? _ 35, 40, 45, Are these triangles congruent? A movie theater holds 245 people The theater has already sold 193 tickets How many more tickets can be sold? 10 Y N 11 Y N 12 Y N _ / 12 Total _ #50808—180 Days of Math for Fifth Grade 11 DAY Name: _ Directions Solve each problem SCORE Y N 20 – Name the solid below _ Y N Y N Y N Y N Y N Y N Y N Y N r@@@@@@ ! 40 10 8IBUJTNPSFUIBO _ _ How many more tally marks are needed to make 20? Write 0.25 as a percentage 11 What is the probability that you toss a coin and it lands with heads up? _ 10 Y N 11 Y N 12 Y N _ / 12 Total 12 _ (2 x 3) + = 9+ 12 Joe bought ten exercise books = 15 – How much did he pay altogether? Circle the correct answer L = 4,000 mL #50808—180 Days of Math for Fifth Grade $6.00 $20.00 $14.00 $9.15 © Shell Education DAY Name: _ Directions Solve each problem SCORE 19 True or false? This figure only has one line of symmetry _ x = 10 Find the coordinates of: _ ! 3PVOEUPUIFOFBSFTU hundred 0.5 of is 11 If you spin the spinner, on what color are you most likely to land? Y N Y N Y N Y N Y N Y N Y N Y N Y N _ m 7 x 12 How many equal line segments are needed to make a row of triangles? 49 10 Y N 11 Y N 12 Y N _ _ / 12 minutes = hours © Shell Education Total #50808—180 Days of Math for Fifth Grade 13 DAY Name: _ Directions Solve each problem SCORE Y N Y N Y N Y N Y N Y N Y N Y N Y N 10 Y N 11 Y N 12 Y N 20 x m cups = gallon Do parallel lines meet at a 30° angle? 10 30 ÷ = You want to create a survey to find out about your classmates’ favorite subject in school What would be a good question to ask? _ _ _ What is the value of the digit JOUIFOVNCFS _ 11 of 10 is A family has five members—a mom, a dad, two sisters, and a brother The family lines up single file What is the probability that the mom is at the front of the line? _ + (4 x 5) = _ / 12 Total 14 _ 23 – = 12 Lana took one and a half times as long as Jayden to finish a project If Lana took 15 days, how long did Jayden take? _ #50808—180 Days of Math for Fifth Grade © Shell Education DAY Name: _ Directions Solve each problem SCORE 29 + = x 10 Y N Y N Y N Y N Y N Y N Y N Y N 11 Write the number that comes next in the sequence _ © Shell Education Imagine that you write each letter of the word IMAGINE on individual cards You shuffle them, turn them facedown on a table, and turn over the top card What is the probability of turning over an A? _ 25 ÷ = x Do you use A.M or P.M to write 3:29 in the morning? Cats Diaz family Is greater than, less 10 than, or equal to 12 ? Record the following data in the chart using tally marks The Hill family has cats and dogs Hill family 12 _ Dogs _ Y N The Diaz family has dogs and no cats How many digits are in 29,400? _ _ Is the angle obtuse, acute, or right? My product is 30 The difference of the two factors is The sum of the two factors is 11 What numbers am I? _ #50808—180 Days of Math for Fifth Grade 10 Y N 11 Y N 12 Y N _ / 12 Total 15 ... The difference of the two factors is The sum of the two factors is 11 What numbers am I? _ #50 808? ?180 Days of Math for Fifth Grade 10 Y N 11 Y N 12 Y N _ / 12 Total 15 ... the total number of times each question/concept was missed Student Name: Sample Student Question Day 1 X X X 10 11 12 # Correct X 8/12 Total #50 808? ?180 Days of Math for Fifth Grade © Shell Education... bought ten exercise books = 15 – How much did he pay altogether? Circle the correct answer L = 4,000 mL #50 808? ?180 Days of Math for Fifth Grade $6.00 $20.00 $14.00 $9. 15 © Shell Education DAY