Grade 5 STAAR Review Station Reflection Templates

Transcription

1 Grade 5 STAAR Review Station Reflection Templates ST A AR MATH RESOURCES Copyrighted materials The following are designed to provide one way for students to record reflections, solutions, and work for each station activity within the Math Cut Ups Grade 5 STAAR Review. The materials are provided to serve as blackline masters and permission is granted to the individual purchaser in order to reproduce materials for use in his or her classroom with his or her students only. Recording templates are arranged according to STAAR Reporting Category. The following activities have recording templates included. Category 1 Category 2 Decimal Value True or False Number Form x 5 Number Notation Mystery Ordering Operations Prime and Composite Patterns Rounding Decimal Review Additive vs Multiplicative Relationships Correct or Incorrect: Multiplication & Division Name My Denominator Picturing Decimal Operations: Multiplication & Division Picturing Fraction Operations: Addition & Subtraction Picturing Fraction Operations: Multiplication & Division Predicting Profits Problem Solving in Operations: Intermediate Level Problem Solving in Operations: Elementary Equations Reasonable Solutions Representing Relationships Wrestling with Word Problems Category 3 Category 4 Classifying Triangles Coordinate Graphing True or False Crafty Conversions Customary Challenge Dimensional Analysis Grapher s Revenge Metric Mirth Polygon Attribute Sort The Quadrilateral Family Visualizing Volume What s the Question? Perimeter, Area, & Volume Budget Balance Dealing with Data Displays I Displaying Data Relationships Payroll Practice Tackling Taxes Copyright, Kelli D. Mallory, Ed.D. Integral Mathematics, Inc., 2019,

2 Decimal Value True or False How do you compare decimal numbers in order to know which is larger? Circle the larger number in each pair below. A B C Determine if each of the following statements about comparing two numbers are True or False. Write an example to prove your answer choice. A. If one number has more digits than the other, then it must always be larger. B. To determine the larger number, start comparing the numbers in the largest place values of both numbers. C. When comparing several numbers with the same place values, use the farthest digit on the right to compare them. Number Form x 5 Write the following numbers using expanded notation. A. 38,480,314 B Tabitha received a check from the sale of some property. The amount is shown below in expanded notation. (4 10,000) + (2 1,000) + (6 x 100) + (9 1) + (7 0.1) + (1 0.01) How much was the value of the check? A number is composed of the following parts: 7 thousands 12 hundreds 9 tens 14 ones 18 tenths 48 thousands What is the number written as a numeral? Write this number in expanded notation showing the value of each digit with its place value. Select one of the cards from the set that were incorrect. Show the incorrect answer below and write a statement about how to correct it. How does expanded form allow you to easily see the value of each digit in a number?

3 Number Notation Mystery Given (8 10) + (7 1) What numeral is represented? Write the number in expanded notation using decimals rather than fractions for place values. Write the number using words: Kym s groceries this week cost $ Write this number in expanded form in two different ways. Ordering Operations Why is it important to have an order for simplifying expressions? In your own words, explain the order for solving operations expressions. Simplify the following expressions: A. 5( ) B. 100 [ )] Explain why the following two expressions are equivalent and (6 100) + (2 1) + (8 0.1) + (2 0.01) What is something you need to remember about numbers written in expanded notation? What is a common error that can be made while simplifying expressions using the order of operations and why is it likely made? What error in simplifying do you make most often and how will you avoid this error it in the future?

4 Prime and Composite Patterns Fill in the blanks to complete each statement: A number is composed only using the factors of the number and itself. A number can be composed of whole number factors other than just or. An example of a 2-digit prime number is. An example of a 2-digit composite number is. This number has the following factors:. Did you know there is only one whole number that is neither prime nor composite? What do you think it is? Rounding Decimal Review Tran wants to round the number to estimate. Explain how to round this number to any given place value. Round : To the hundredths place To the tenths place To the ones place To the tens place When you examined the picture cards in the activity, how did the patterns help you visualize which numbers are prime and which are composite? Determine whether the numbers below are prime or composite. A. 83 B. 51 C. 17 In the space below, draw a picture to illustrate whether 27 is prime or composite. A number was rounded to the ones place for an estimate of 470. What could the original number have been? A number was rounded to the hundredths place for an estimate of What could the original number have been? What is a mistake someone might make in the rounding process? What advice would you give someone making this mistake to help them correct their errors?

5 Additive vs Multiplicative Relationships Give an example of each type of relationship: A. Additive B. Multiplicative Explain how you can determine whether a table shows an additive or multiplicative relationship. Correct or Incorrect: Multiplication & Division In the activity you sorted cards to show whether they were worked correctly or incorrectly. Write the letters on the cards you sorted as correctly worked: Choose 2 of the cards showing incorrectly worked problems. Write them below and then tell where the errors were made, and how they should be solved to be correct. 1. Card letter 2. Card letter Explain how you can determine if a graph represents an additive or a multiplicative rule. Write an additive rule and then complete the table to the right to show the output values. Input Output What is a mistake that is often made in the incorrectly solved multiplication problems? 3 How can you prevent yourself from making this common 4 mistake? Write a multiplicative rule and then sketch the graph of the rule on the grid to the left. What is a mistake that is often made in the incorrectly solved division problems? How can you prevent yourself from making this common mistake?

6 Name My Denominator How are multiples used to help find a common denominator? Picturing Decimal Multiplication & Division Using a rod of ten as shown to the right as one whole, show how to represent 3 groups of 0.8 using the space below. Write the common denominator of each pair of fractions: A. 3 4 and 1 6 C. 2 3 and 1 2 B. 5 8 and 2 5 D. 1 4 and 3 10 What is 3 0.8? Draw a representation of 1.5 groups shared by 2 in the space below. Explain the process for finding a common denominator. What is 1.5 2? Using a 10 by 10 area model (100-grid) draw a representation to show the product of Joaquin and Saul are solving fraction problems. They have the problem to solve. Each student has written a different set of 4 6 equivalent fractions. Joaquin wrote to solve the problem Saul wrote 9 and 2 to solve the problem Which student is correct? What mistake did the incorrect student make? Julian has $2.76 and will split his money evenly buying 3 types of small candies. How much will he spend on each type of candy? Draw a model and circle the amount in each group.

7 Picturing Fraction Addition & Subtraction Use the models to represent each problem and to solve. Picturing Fraction Multiplication & Division Represent each problem below using any model and show a solution. A. + = = A. 2!! B.!! 3 B. = = C. 3!! D.!! 4 C. + = = In the problem 3!, there are groups and each group! contains parts for a total of parts. In the problem! 15, there is a total of parts and each! group contains of the total so there are groups. How do the models help determine common denominators? Draw models to represent and solve 1!! in the space below.!! In the problem 4!, there are units to be shared and the! size of each share is unit making of this size unit to be shared. In the problem! 3, there are units to be shared by! groups making in each group after sharing.

8 Predicting Profits Explain how to determine the amount of profit earned on the sale of goods or services. Problem Solving: Elementary Equations When representing a multi-step problem using an equation, why would a letter be used in the problem? What is one way to increase profits earned? A local pizza restaurant is sponsoring spirit night for the school PTA and will offer a special signature pizza for the spirit night special. Each pizza costs $2.86 for the restaurant to make and each pizza sells for $ They have agreed to donate $3.50 from the sale of each pizza to the school. How much profit is earned from the sale of each pizza? If 134 people buy a signature pizza on spirit night, what is the revenue (gross income) earned by the restaurant? How much profit would the restaurant have earned on these 134 pizzas if they were not sponsoring spirit night? How much net profit did the restaurant actually earn? When representing a multi-step problem using an equation, when would the equation need parentheses or other grouping symbols? When you are solving for an unknown in the equation and there are multi-steps, what process did you use to find the value of the unknown? Write an expression for the problem below. Use a variable for an unknown amount and use grouping symbols as needed. Then solve the problem. Mrs. Martinez collected 28 projects at the end of the day, 1 from each of her students who had completed the project. Mrs. Martinez has 5 more students than Mr. Patricio and ½ of Mrs. Martinez s students turned in a project. How many students does Mr. Patricio have? How much money was donated to the school PTA?

9 Problem Solving: Intermediate Level What process did you use to match the operation process cards to the word problem cards? What would you do if the process for how you would solve a problem was not in the process card set? What problem was the hardest to solve and why? For the problem below, write the process steps to solve the problem, just like the cards in the activity. Then record the solution. In the banquet room at a hotel there are tables with either a white, black, or red tablecloth. There are 4 tables with black cloths. There are 5 times as many white cloths as black cloths. And there are 3 fewer red cloths than white. How many covered tables are in the banquet room? Reasonable Solutions What are different ways to estimate in a situation? Select a set of cards from the activity that show the use of rounding numbers to estimate. Record the problem that would be used to find an exact answer and the problem to estimate. When using the estimate for the problem above will the estimate be a higher or lower number than the exact answer? How do you know? Select a set of cards from the activity that show the use of compatible numbers to estimate. Record the problem that would be used to find an exact answer and the problem to estimate. When using the estimate for the problem above will the estimate be a higher or lower number than the exact answer? How do you know? There are tables in the hotel banquet room. When would you rather use an estimate than find an exact amount?

10 Representing Relationships The weight of an object in ounces and its weight in pounds are related. Complete the table by adding 3 number pairs that fit the situation. Weight in Pounds Weight in Ounces 2 32 Wrestling with Word Problems When the cards in the activity are correctly solved and ordered from least to greatest solution, the letters on the cards spell a phrase. Record the phrase below.. Record the letter and a brief context about one of the problems from the activity that you found the most difficult. Is the table s pattern additive or multiplicative? Weight in pounds = Weight in Ounces Input = Output If the input is represented as x and the output is represented as y, what algebraic rule represents this situation? Write a rule that represents an additive pattern: Draw a table that represents your pattern rule. Solve the problem in the space below. Explain what made this problem difficult for you. What errors do you find yourself making when solving multi-step word problems? How can you help yourself over your mistakes or difficulties?

11 Classifying Triangles What are the different possible ways a triangle is classified by its angles? A. meaning it has 3 angles. Coordinate Graphing True or False Jessie needs to plot point (3, 7) on the coordinate plane below. B. meaning it has 1 angle and 2 angles. C. meaning it has 1 angle and 2 angles. What are the different possible ways a triangle is classified by its side lengths? A. meaning it has sides of equal length. B. meaning it has sides of equal length. C. meaning it has sides of equal length. Write True or False next to each statement: A. A triangle can be both acute and isosceles. B. A triangle can be both obtuse and right. C. A triangle can be equilateral and right. D. A triangle can be scalene and acute. To the right side of this page draw and label a triangle that is scalene and right. Where does Jessie need to begin? Where does Jessie move first? How many units does he move in this direction? What direction does Jessie move next? How many units does Jessie move now? When Jessie plots his point, how far vertically and how far horizontally will his point be from the origin? units away vertically and units away horizontally. On the graph plot and label Jessie s point. Label the x- and y-axes. What does an ordered pair tell you? What is one thing about graphing you need to remember?

12 Crafty Conversions When converting units of measure, when do you multiply to convert? When do you divide to convert? For each of the following, write the math problem used to convert. Conversion needed Math Problem to Solve Solution 12,420 inches to yards 1.8 kg to grams 15 pints to gallons 1.7 hours to minutes 230,000 cm + 2,200 m to km Jackson has a card that says From a larger sized unit to a smaller sized unit. and a card that says 18 cups. What conversion could have been solved with these cards? Prove your answer. Customary Challenge Fill in the conversion chart below for Customary System units. Length Weight 1 mile 1,760 yards 2 ton pounds yard 6 feet pounds 48 ounces 2 foot inches Volume/Capacity gallons 12 quarts 1 quart pints ½ pints cups cups 48 fluid ounces What is something you found challenging about the customary conversion game and why? What did you find easiest about the conversions in the game and why? When converting from a larger unit to a smaller unit, what operation is used? When converting from a smaller unit to a larger unit, what operation is used?

13 Dimensional Analysis aka Factor-Label Method Each of the problems in the station is shown below. Fill in the blanks to show the completed processes used to convert. Mat A: 2 weeks x 7 days x 24 hours = 1 1 week 1 day Mat B: 13,406 penny x x 1 kg = kg 1 1 penny hrs Grapher s Revenge If your opponent calls the point (4, 6) explain how to locate this point on the coordinate plane. The graph below shows one of your ships and one of your opponents plotted together. Your ship is the darker of the two. Mat C: 12,000 cm x 1 meter x 1 km = cm 1,000 m km Mat D: 68 fl.oz. x 1 cup x x = qt 1 2 cups 2 pints Mat E: 11.8 pounds x 16 ounces = oz 1 1 pound What do you like about using the dimensional analysis method to convert units? What do you dislike about this method? What ordered pairs of whole numbers do you want to call out that will hit your opponent without hitting your own ship? If your opponent calls the point (6, 4) will it hit your ship? What point will hit both ships? What is something about graphing that you still need to remember?

14 Metric Mirth Complete the metric unit names in the chart below. Prefix Name Meaning 1,000 Polygon Attribute Sort What is a polygon? Draw a polygon with the fewest possible number of sides. Hecto- 100 Deka- Base (Gram, Meter, Liter) 1 Deci- 0.1 Centi When comparing values in the game, how do you know which value is larger when they have the same units? When comparing values in the game, how do you know which value is larger when they have different units? What is the most number of sides a polygon can have? What does it mean for a polygon to be symmetrical? What is the difference between a regular and irregular polygon with the same number of sides? Draw a concave polygon below. Draw a convex polygon below. How is working with the metric system similar to the base-ten place value system? What are other ways you can classify polygons?

15 The Quadrilateral Family Fill in the diagram below using the word bank. Word Bank Parallelogram Trapezoid Rectangle Square Rhombus Other non-regular QUADRILATERALS Visualizing Volume In the figure, what are the length and width of the base layer of unit cubes? Length of base = cubes Width of base = cubes What is the area of the figure s base using the number of unit cubes that cover it? square units How do you find this? How many layers of unit cubes will stack into the figure? What is the total volume, or number of unit cubes, that will fit inside the figure? cubic units Show two ways you can calculate this amount Why can a square also be classified as a rectangle? Why can a square also be classified as a rhombus? Is a rectangle or a rhombus also classified as a square? Why? Draw a quadrilateral that would belong in the Other Non- Regular category. A certain rectangular prism has a volume of 192 cubic units. The height of the prism is 4 units. What is the area of the base layer? square units. How did you find this? What are possible length and width dimensions of the base? units and units How do you know?

16 What s the Question? Perimeter, Area & Volume What is the difference between perimeter and area? How is volume different from area? How do you know whether to use the perimeter, area, or volume formula when solving a problem? If the perimeter and one side length of a rectangle are known, how can you find the other side length? If the area and one side length of a rectangle are known, how can you find the other side length? If the volume of a rectangular prism is given, and the area of the base is known, how can you find the height of the prism? If the volume of a rectangular prism is given, and one of the base lengths is known, how can you find the height of the prism? Budget Balance What is a balanced budget? What do you need to do when expenses exceed income? What are some ways you can increase income to balance a budget? How is a budget used to track fixed and variable expenses, income, and available money? April s net income for this month was $2,572. The table shows her budget except for one missing amount. Category Amount ($) Rent 1,050 Utilities 315 Food Transportation 250 Other 134 Savings 425 Based on April s budget, what is the greatest amount she can spend on food for the month and keep her budget balanced?

17 Dealing with Data Displays Draw a sketch of a dot plot in the space below. What information does a dot plot convey about the data set? Draw a sketch of a stem-and-leaf plot in the space below. Displaying Data Relationships What is a scatterplot and how does it relate to a table of data? How do you represent data from a table using a scatterplot? Describe one of the situations in the activity for each of the following: An additive relationship: A multiplicative relationship: What information does a stem-and-leaf plot help you learn about the data set it represents? What information does a frequency table provide? How are a frequency table and a bar graph similar and how are they different? Neither additive nor multiplicative: How did you know which graph went with which situation in the activity? How might a scatterplot made from a table of data help make predictions about future occurrences? One thing I want to say about scatterplots is

18 Payroll Practice Answer the following using True or False: A. Gross pay is larger than net pay. B. Payroll deductions are added to your gross pay as part of your paycheck. C. You can find your hourly rate of pay by dividing the net pay amount by the number of hours worked. D. The net pay amount is the gross pay less payroll taxes and deductions. List some examples of payroll taxes taken from a salary: Tackling Taxes Fill in the blanks the type of tax described: (Income, Property, Sales, or Payroll) A. tax is paid on land, homes, and other buildings. B. tax is paid on your behalf by your employer and includes Medicare and social security taxes. C. tax is paid on retail products purchased based on a percentage of their price. D. tax is a percent of your earned wages paid to the Federal, and sometimes state, government. Using the cards from the activity, record 2 facts about each type of tax in the table. Income Tax Payroll Tax What other deductions might someone have taken from their salary? Joe s most recent paycheck was $ He worked 20 hours during the week. On his checkstub were the following deductions. Taxes Amount Other Deductions Amount Federal Income Tax $12.72 Meals $7.25 Social Security $7.44 Medicare $1.74 Additional Withholding $3.60 Joe s Gross pay: Joe s hourly rate: Sales Tax Property Tax