Name: ________________________________________ Date:________________ Designing a Shoe Cover Background: Your teacher notices that students are often coming in to class with shoes covered in mud. Your task is to design a shoe cover that you can put on when you enter class so the floors don’t get so dirty. Task 1: Build a Prototype (example) Shoe Cover. • Use paper, tape, scissors and colored pencils to design the cover. • The cover should be built to cover the bottom of your foot. • The cover needs to fit under your entire shoe and can go up as high as you would like. • You can add any design you wish! Task 2: Review your classmate’s shoe covers using the options below. Shoe #1: ______________________ (Name of Designer) Category Ratings (Circle one and give comments) Fit of Shoe Too Big Too Small Just Right Comments: Design of Shoe Comments: Too Plain Too Fancy Just Right Shoe #2: ______________________ (Name of Designer) Category Ratings (Circle one and give comments) Fit of Shoe Too Big Too Small Just Right Comments: Design of Shoe Comments: Too Plain IMP Activity: Designing a Shoe Cover Too Fancy Just Right 1 LM S1 Shoe #3: ______________________ (Name of Designer) Category Ratings (Circle one and give comments) Fit of Shoe Too Big Too Small Just Right Comments: Design of Shoe Comments: Too Plain Too Fancy Just Right Task 3: Analysis Questions 1) Would your shoe be a good fit for your teacher? Why? 2) How long was everyone’s shoe cover? 3) If everyone’s shoe cover was 1 foot, why are they not all the same l length? 4) What directions would you give another class so that they all designed shoes that were one foot long? 5) How big is a foot? IMP Activity: Designing a Shoe Cover 2 LM S2 Name: ________________________________________ Date:________________ Measurement Olympics Task: Your team has been invited to compete in this year’s Olympics. As a team, you will compete in all events, and record your scores. You each will be assigned a different measurement tool, and results will be compared at the end. Team Country Name:__________________________________ Measurement Tool:____________________________________ Group Results- Best Trial Q-Tip Throw Student Name Cotton Ball Blow Styropeanut Serve Dice High Jump Team Results- Best of Each Event Q-Tip Throw Cotton Ball Blow Styro-peanut Serve Dice High Jump Top Score: Appeal (Reason why you do not think results are fair) I do not think the results are fair because ______________________________________ __________________________________________________________________________ IMP Activity: Measurement Olympics 1 LM S3 Name: ___________________________________ Date: _________ Building a Foot Part 1: Estimate and measure length 1) Each square you have has a length of “1”. Using your unit of “1”, estimate the length of each object your teacher shows you. Object Name Estimate 2) Using only your one unit of 1, measure the length of each object to the nearest unit. Record your measurements below. Object Name Measurement 3) Explain how your group measured the length of each object. Draw a picture to show what you did and what you counted. 4) What if you were asked to measure the length of the classroom with just your one unit. Can you think of a better way to measure something this long? Record any ideas below. Part 2: Build a Ruler 1) Take your 12 one-unit squares and tape them together, end-to-end, in a straight line. We call this strip a Ruler. What do you think a ruler is used for? 2) Label the left end of your ruler with a 0. This is the starting point for anything you will measure. 3) Lay down your 1 unit square just above your ruler. Make a long vertical line on your ruler at the end of the 1 unit and label this line “1”. IMP Activity: Building a Foot 1 LM S4 4) Lay down a second 1-unit square next to the first. Make a long vertical line on your ruler at the end of the 2nd unit and label this line “2”. 5) Repeat this process for as many 1-unit blocks as you can fit in the length of your ruler. How many units of 1 fit in your ruler? Part 3: Measure with your ruler 1) Measure the 4 objects again, this time first by laying blocks down to represent the length and then by using the ruler underneath the blocks. Example: Squares Ruler 0 1 2 3 4 Object Name Measurement 2) Look at the ruler your teacher gives you. Can you find the numbers 0-12 on the ruler that match the numbers on your rulers? IMP Activity: Building a Foot 2 LM S5 3) Use your ruler to measure the length of 4 new objects while your partner uses the real ruler. Measure separately and then compare your answers. Note: If the object measures exactly between two units, record (between ____ and _____); otherwise, record the unit the length is closest to. Record the measurements below. Object Name Measurement Part 4: Defining a Ruler 1) You have built a ruler today. Why do we have rulers? 2) On your ruler, each 1 unit of length is called an inch. The length of the entire ruler is called 1 foot. How many inches are there in one foot? 3) How many inches are there in 2 feet? 4) What object in the room is about 6 inches long? 5) What object in the room is about 12 inches long? 6) What object in the room is about 2 feet long? 7) About how many feet long do you think the classroom is? IMP Activity: Building a Foot 3 LM S6 Name: ___________________________________ Date: _________ Building a Meter Part 1: Estimate and measure length 1) Each cube you have has a length of “1”. Using your units of “1”, estimate the length of each object your teacher shows you. Object Name Estimate 2) Would it be easy to measure the length of the classroom using just 1 of these cubes? Why or why not? 3) What can you trade your 10 ones block for? Make this trade and use your 10 rods to measure each object. Record the measurements in the table below. Object Name Length Part 2: Build a Ruler 1. You are now going to build a meter stick, using 10 of the 10-rods and labeling each unit on your strip of paper. 2. Label the left end of your paper meter stick with a 0. This is the starting point for anything you will measure. 3. Lay down your 10 rod just above your paper meter stick. Mark a small vertical line at the end of each cube, using a longer line to mark the end of the 10-rod. You should have labeled 0-10 on your paper meter stick. 4. Lay down a second 10-rod next to the first. Make and label lines at the end of each of these cubes, beginning with 11 and ending with 20. 5. Work with your team to continue to lay down 10 rods and mark and label the entire meter stick. How many 10-rods fit in your meter stick? How many units of 1 fit in your meter stick? Show how you could determine this. IMP Activity: Building a Meter 1 LM S7 Part 3: Measure with your meter stick 1) Measure the 4 objects, using the meter stick you just built. Measure the shortest objects first with cubes and then with the meter stick. Object Name Measurement 2) Look at the meter stick your teacher gives you. Can you find the numbers 0-100 on the meter stick that match the numbers on your meter stick? 3) Use your paper meter stick to measure the length of 4 new objects while another student in your group uses the real meter stick. Measure separately and then compare your answers. Note: If the object measures exactly between two units, record (between ____ and _____); otherwise, record the unit the length is closest to. Record the measurements below. Object Name Measurement Part 4: Defining a Meter Stick 1) You have built a meter stick today. Why do we have meter sticks? 2) On your meter stick, each 1 unit of length is called a centimeter (cm). The length of the entire meter stick is called 1 meter (m). How many centimeters are there in one meter? 3) How many centimeters are there in 2 meters? 4) What object in the room is about 25 centimeters long? IMP Activity: Building a Meter 2 LM S8 5) What object in the room is about 75 centimeters inches long? 6) What unit is larger, an inch or a centimeter? How do you know? 7) Use your meter stick to count aloud with the class from 10 to 20, touching each number as you count. 8) Use your meter stick to count aloud with the class from 0 to 100 by tens, touching each number as you count. 9) Use your meter stick to count aloud with the class from 7 to 35, touching each number as you count. 10) Use your meter stick to count aloud with the class from 85 to 100, touching each number as you count. IMP Activity: Building a Meter 3 LM S9 Name: ________________________________________ Date:________________ Measurement Graphing Estimation Challenge- CM vs In Object Name or picture Estimated length (inches) __________ __________________ Actual length (inches) __________ Estimated length (centimeters)__________ Actual length (centimeters (cm)__________ Choose 4 objects and follow the same steps. Record the group answers below. Object Name _______________________ Object Name _______________________ Estimated length (inches) Estimated length (inches) __________ __________ Actual length (inches) __________ Actual length (inches) __________ Estimated length (cm)__________ Estimated length (cm)__________ Actual length (cm) Actual length (cm) __________ __________ Object Name _______________________ Object Name _______________________ Estimated length (inches) Estimated length (inches) __________ __________ Actual length (inches) __________ Actual length (inches) __________ Estimated length (cm)__________ Estimated length (cm)__________ Actual length (cm) Actual length (cm) __________ __________ IMP Activity: Measurement Graphing Estimation Challenge CM vs In 1 LM S10 Bar Graph of 5 Objects: Length in Centimeters (cm) 38 centimeter 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 Name 0 IMP Activity: Measurement Graphing Estimation Challenge CM vs In 2 LM S11 Bar Graph of 5 Objects: Length in Inches (in) 20 Inches 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 Name 0 IMP Activity: Measurement Graphing Estimation Challenge CM vs In 3 LM S12 Name: ________________________________________ Date:________________ Who is the Farthest?- Inside Directions: Plot each value on the rulers provided below and answer the question that follows. Make sure to use the appropriate ruler for each unit! Set 1 a) Show 4 inches. b) Show 4 centimeters. c) Which distance is farther, 4 inches or 4 centimeters? Why? 0 1 in 2 in 3 in 4 in 5 in 6 in 7 in Centimeter Ruler 0 1 2 3 4 5 6 7 Set 2 a) Show 7 inches. b) Show 7 centimeters. c) Which distance is shorter, 7 inches or 7 centimeters? Why? 0 1 in 2 in 3 in 4 in 5 in 6 in 7 in 6 in 7 in Centimeter Ruler 0 1 2 3 4 5 6 7 Set 3 a) Show 2 centimeters. b) Show 2 inches. c) Which distance is farther, 2 centimeters of 2 inches? Why? 0 1 in 2 in 3 in 4 in 5 in Centimeter Ruler 0 1 2 3 4 5 6 7 IMP Activity: Who is the Farthest? 1 LM S13 Set 4 a) Show 5 centimeters. b) Show 5 inches. c) Which distance is shorter, 5 centimeters or 5 inches? Why? 0 1 in 2 in 3 in 4 in 5 in 6 in 7 in Centimeter Ruler 0 1 2 3 4 5 6 7 5) Which distance is farther, 100 inches or 100 centimeters? Why? 6) John ran 20 feet. Max ran 20 meters. Did they run the same distance? If not, who ran farther? Why? 7) Carol ran 20 inches. Josie ran 20 meters. Did they run the same distance? If not, who ran farther? Why? 8) Jose ran 20 units and is very close to where he started. What units do you think his 20 units are measured in? IMP Activity: Who is the Farthest? 2 LM S14 Name: ________________________________________ Date:________________ Estimate, Throw, Compare Challenge Challenge 1: You will be throwing a cotton ball as far as you can. Estimate how far you can throw. 1) Which unit will you use for your estimate (cm, in, feet, meters)? 2) Using the number line below, mark a point to represent your estimate. 3) Once all team members are ready, each person measures and then marks a point on the ground with chalk to represent their estimate. 4) Each team member throws their cotton ball and writes their name where it landed. 5) Each team member will measure how far their cotton ball went, to the nearest whole unit. 6) Each team member must use the tape measure, ruler or meter stick to determine how far off the estimate was (how many units away did the cotton ball land from the estimate?) 7) Record all group information in the table below (see example). Name Estimated Distance Example Actual Distance 14 feet Difference (How Far Off?) Show Math! 8 feet Picture 14 – 8 = 6 or 8 + 6 = 14 -6 0 ft. 8 ft. (actual) 14 ft. (estimate) Picture Picture Picture IMP Activity: Estimate, Throw, Compare Challenge 1 LM S15 Picture Challenge 2: Throwing a Ball Repeat the SAME steps from challenge 1, but this time throwing a ball. 1) Which unit will you use for your estimate (cm, in, feet, meters)? Data Table Name Estimated Distance Actual Distance Difference (How Far Off?) Show Math! Picture Picture Picture Picture IMP Activity: Estimate, Throw, Compare Challenge 2 LM S16 Challenge 3: How Far can you Long Jump? Repeat the SAME steps from challenge 1, but this estimate how far you can hop (begin with two feet together behind a starting line and jump off both feet; measure where you land.) 1) Which unit will you use for your estimate (cm, in, feet, meters)? Data Table Name Estimated Distance Actual Distance Difference (How Far Off?) Show Math! Picture Picture Picture Picture Practice Questions 1. Emmanuel estimated he could run 17 meters in 3 seconds. He was able to run 12 meters. How far off was his estimate? Use a math sentence to show your answer. 2. Vanessa estimated she could run 12 meters in 3 seconds. She was able to run 17 meters. How far off was her estimate? Use a math sentence to show your answer. IMP Activity: Estimate, Throw, Compare Challenge 3 LM S17 Name: ________________________________________ Date:________________ How Much Was Cut? Set-up You and your partner need 15 pieces of string, scissors and a ruler or meter stick. Make sure you agree on which unit you will use to measure each time. Game #1: Missing Piece Objective: Get as close as possible to estimating how much string was cut off. 1) Partner A takes a piece of string and cuts it to be any length he/she chooses. Measure and record the length in the table below. 2) Partner B then cuts a piece off of Partner A’s string and hides this piece. 3) Partner A will look at what is left and estimate how much was cut off. Record the estimate in the table. 4) Partner A can then measure the piece that is left and try to guess how long the piece hiding is. 5) Partner B will measure the piece he/she cut off and is hiding and record this in the table. 6) Draw a picture and math sentence to show the two pieces and the whole. 7) Trade roles and play a total of 4 times. Original Length of String 12 in What was Cut off? Estimate: 2 in Actual: 3 in How Much is left? 9 in Picture to show pieces and whole and Math Sentence Original String- 12 in Amount Left- 9 in Cut-off 3 in. 9 + 3 = 12 OR 12 – 9 = 3 IMP Activity: How Much Was Cut? 1 LM S18 Game #2: How Long Objective: Get as close as possible to estimating the total length of the string. 1) Partner A cuts any length of string he/she chooses, does NOT show it to partner B, but measures the length and secretly records it in the table. 2) Partner B cuts any length of string he/she chooses (from a new string), does not show partner A, and measures the length and secretly records it in the table. 3) Partners A and B now show each other their piece of string and lay them down end-to-end. They work together to estimate the total length of the two pieces (not sharing how long their piece is). 4) Record the estimated total in the table. 5) Measure the total length and record this in the table. 6) Draw a picture and write a math sentence to represent the pieces and the total. 7) Play this game 3 times, each time beginning with a different length of string. Length String A 9 in Length String B 3 in Total Length Estimate: 10 in Actual: 12 in Picture to show pieces and whole and Math Sentence Total Length- 12 in Partner A- 9 in Partner B 3 in. 9 + 3 = 12 IMP Activity: How Much Was Cut? 2 LM S19 Problem Solving: Draw a picture and solve 1. A building is shown below. The total height is 24 feet. The second floor is 10 feet tall. How tall is the first floor? 10 ft. 24 ft. ? ft. 2. The same building has a total length of 54 feet. The roof on the second floor is 30 feet. How long is the roof on the small section of 30 ft. the first floor? ? ft. 54 ft. 3. The length of a toy plane is 12 inches. The battleship is 5 inches longer than the plane. How long is the battleship? 4. Two jump ropes have a total length of 11 feet. If one jump rope is 6 feet long, how long is the other one? 5. Jackie and Sylvia made two bracelets. They used 28 centimeters of string to make them. How long could each girl’s bracelet be? 6. If Jackie’s bracelet is 8 cm longer than Sylvia’s bracelet, how long is Jackie’s bracelet? 7. Carden is putting a ribbon of icing around the outside edges of a square based cake. If one side of her cake is 7 inches long, how many inches of frosting will she need to outline all four sides of the cake? IMP Activity: How Much Was Cut? 3 LM S20 Name: ________________________________________ Date:________________ Shark Bait Goal of the Game: Cross the river without being eaten (tagged) by the shark. Set-Up and Rules The “Shark” will be standing 10 meters from the “fish” with his/her back facing the fish. Each “fish” will take turns asking permission to take a number of steps forward (from 1 to 10) and state in which unit they would like to swim (cm, in., feet or meters). Each fish will use the sentence frame, “Mr. Shark, Mr. Shark, may I take ______ (number) ________ (unit) steps forward?” The Shark can say “yes”, “yes, but in ______ units” or “no”. The official group measurer will then come out to measure how far that fish can move forward and the fish will move that many steps closer to the edge of the river. The next fish will now ask to move and follow the same process. Fish continue taking turns asking to move a certain distance and moving until one of the following happens: a. A fish crosses the edge of the river. If this happens, the fish earns 2 points. b. The Shark decides to turn around and go after the fish. If the Shark tags a fish before they make it back to either side of the river, that fish is out and the shark earns 5 points for each fish tagged. Any fish who make it safely to either side earn 1 point. Note: The shark can turn around to try to tag the fish at ANY point during the game. Fish can run to either side of the river for safety. Trade roles and play again until everyone gets to be shark and measurer. Shark (Back Facing Fish) Ending Edge of River (Crossing goal) 10 meters River Measurer Beginning Edge of River Fish #1 IMP Activity: Shark Bait Fish #2 Fish #3 Fish #4 1 LM S21
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