- A pendulum swings 30, 25, 20, then 15 times each minute. What pattern do you observe?
Answer: Swings decrease by 5 each minute (30, 25, 20, 15).
This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Identifying patterns in repetitive motion helps us predict future behavior because physical systems follow consistent rules over time. The pendulum swings 30, 25, 20, then 15 times each minute, showing a clear decreasing pattern where swings reduce by 5 each minute (30-25=5, 25-20=5, 20-15=5). Answer C correctly identifies this pattern of decreasing by 5 swings each minute, which occurs as the pendulum loses energy to friction and air resistance at a steady rate. The other options fail because A suggests increasing swings (opposite of reality), B claims constant swings (contradicting the data), and D suggests halving (not matching the linear decrease). To help students find this pattern, have them list consecutive differences: 30-25=5, 25-20=5, 20-15=5, showing the constant decrease. This systematic approach helps them recognize linear patterns and predict that the next value would be 10 swings (15-5=10).
- A pendulum swings 30, 25, 20, 15 times each minute. Based on the pattern, how many swings next minute?
Answer: 10 swings
This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Students use identified patterns to predict future motion because consistent patterns continue under similar conditions. The pendulum's swings (30, 25, 20, 15) decrease by 5 each minute, showing a clear slowing pattern. The correct answer A (10 swings) accurately applies this pattern by subtracting 5 from the last value (15 - 5 = 10). Answer D (5 swings) subtracts too much (10 instead of 5), while B (20 swings) and C (30 swings) go backward in the sequence rather than continuing the decreasing trend. To predict using patterns, identify the consistent change (here, -5 swings per minute) and apply it to the last known value. This helps students understand that motion follows predictable mathematical relationships.
- A toy car is pushed 30 cm, 60 cm, 90 cm, 120 cm. What is happening to the distance each time?
Answer: It stays the same at 60 cm each time.
This question aligns with the skill 3-PS2-2: Observe motion patterns to predict future motion. By identifying patterns in how objects move, students can predict future behavior because similar conditions often lead to similar results. The toy car's distances are 30 cm, 60 cm, 90 cm, and 120 cm, with the distance adding 30 cm each time, indicating an increasing trend. Choice A accurately captures this by noting the +30 cm increment, matching the consistent growth pattern. Distractors like B fail by claiming halving, which doesn't align with the increasing values. Organize the data sequentially and calculate consecutive differences. Students should look for 'what happens each time' and use that to predict future distances based on the pattern.
- A marble takes 2 s on 1 m, 4 s on 2 m, and 6 s on 3 m. What is happening to time?
Answer: Time increases by 2 s for each extra 1 m (2 s, 4 s, 6 s).
This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Students learn to identify patterns in motion data and use them to predict what will happen next because similar conditions produce similar results. The marble's motion shows a clear pattern: it takes 2 seconds per meter of track (1m→2s, 2m→4s, 3m→6s), demonstrating a proportional relationship. Answer C correctly identifies this pattern by stating time increases by 2 seconds for each extra meter, which students can verify by checking that time equals 2 times the distance. Answer A incorrectly suggests time stays constant, B wrongly claims time decreases as distance increases, and D misinterprets the pattern as doubling rather than adding 2 seconds. To help students recognize this pattern, organize the data in a table showing distance and time, then calculate the ratio (2s÷1m=2, 4s÷2m=2, 6s÷3m=2). This constant ratio of 2 seconds per meter helps students predict that 4 meters would take 8 seconds.
- A toy car rolls 30 cm, 60 cm, 90 cm, 120 cm with stronger pushes. Use the pattern to predict the next distance.
Answer: 150 cm
This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Students must identify patterns in motion data and use them to predict future motion because consistent patterns continue under similar conditions. The toy car's distances (30, 60, 90, 120 cm) show a pattern of increasing by 30 cm with each stronger push. The correct answer A (150 cm) accurately applies this pattern by adding 30 cm to the last value (120 + 30 = 150). Answer B (130 cm) incorrectly adds only 10 cm, while D (180 cm) adds too much (60 cm), and C (90 cm) goes backward in the sequence. To predict using patterns, identify what happens each time (here, +30 cm) and apply that same change to the last known value. This systematic approach helps students see that motion follows predictable rules.
- A toy car goes 30 cm, 60 cm, 90 cm, then 120 cm with stronger pushes. What pattern do you observe?
Answer: The distance increases by 30 cm each stronger push (30, 60, 90, 120).
This question aligns with the skill 3-PS2-2: Observe motion patterns to predict future motion. By identifying patterns in how objects move, we can predict future behavior because similar conditions often lead to similar results. In this case, the toy car travels 30 cm, 60 cm, 90 cm, and 120 cm with increasingly stronger pushes, showing a consistent increase of 30 cm per stronger push. Choice A correctly identifies this pattern of adding 30 cm each time, which matches the arithmetic sequence and allows accurate prediction of future distances. Choice B fails because it ignores the clear increasing trend, while choices C and D misrepresent the data by suggesting a decrease or constant distance. To teach this, organize the distances in order and calculate the differences between consecutive values to spot the +30 cm pattern. Then, use this pattern to predict the next value, like adding another 30 cm for 150 cm.
- A pendulum swings 30, 25, 20, then 15 times each minute. What is happening to the number of swings?
Answer: The number of swings decreases by 5 each minute (30, 25, 20, 15).
This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Scientists observe patterns in motion data to understand how motion changes over time and predict future behavior. The pendulum's swing counts (30, 25, 20, 15) show a clear decreasing pattern as time passes. The correct answer B accurately identifies that swings decrease by 5 each minute (30→25 is -5, 25→20 is -5, 20→15 is -5). Answer A incorrectly claims swings increase when they clearly decrease, while C wrongly states they stay constant at 25 when values change each minute. To identify motion patterns, arrange data chronologically and calculate differences between consecutive measurements - here each difference equals -5 swings. This decreasing pattern suggests the pendulum is slowing down, which helps predict it will continue slowing at the same rate.
- A marble takes 2 s on 1 m, 4 s on 2 m, and 6 s on 3 m. Use the pattern to predict time on 4 m.
Answer: 8 s
This question aligns with the skill 3-PS2-2: Observe motion patterns to predict future motion. By identifying patterns in how objects move, we can predict future behavior because similar conditions often lead to similar results. The marble takes 2 seconds on 1 m, 4 seconds on 2 m, and 6 seconds on 3 m, showing a pattern of adding 2 seconds per additional meter. Choice A correctly predicts 8 seconds for 4 m by extending the +2 seconds trend, matching the proportional relationship. Choices B, C, and D fail by not following the increase, suggesting lower or higher unrelated times. To teach this, organize distance and time data in order and calculate differences like +2 seconds per meter. Use the pattern to predict the next value, such as 6 + 2 = 8 seconds for 4 m.
- A wind-up car rolls 50 cm, 48 cm, 52 cm, 49 cm, then 51 cm. What pattern do students observe?
Answer: The car rolls about 50 cm each trial, with small changes.
This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Students learn to identify patterns in motion data and use them to predict what will happen next because similar conditions produce similar results. The wind-up car's distances (50, 48, 52, 49, 51 cm) show small variations around 50 cm, indicating the car rolls approximately the same distance each time with minor differences. Answer A correctly identifies this pattern of consistency with small variations, recognizing that real-world measurements often have slight differences but still show an overall pattern. Answer B incorrectly suggests a systematic increase of 2 cm, C wrongly claims decreasing distances, and D fails to recognize that small variations can still represent a pattern. To help students understand this type of pattern, calculate the average (50 cm) and show how each trial is within 2 cm of this average. This teaches students that patterns in real experiments often include small variations due to factors like surface differences or winding consistency.
- A pendulum swings 30, 25, 20, then 15 times each minute. Can you predict the next minute?
Answer: 10 swings
This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). By identifying patterns in how objects move, we can predict their future behavior because motion follows consistent rules under similar conditions. The pendulum swings 30, 25, 20, then 15 times each minute, showing a clear pattern where the number of swings decreases by 5 each time (30-5=25, 25-5=20, 20-5=15). Answer A correctly predicts the next value as 10 swings (15-5=10), following this consistent pattern of subtracting 5. The other answers fail because B suggests 20 (which already occurred), C suggests 35 (which would mean increasing), and D suggests 15 (which just happened). To help students recognize patterns, have them list the data in order and calculate the difference between each pair of consecutive numbers. When they see the same difference (-5) repeating, they can confidently use it to predict the next value in the sequence.
- A pendulum swings 30, 25, 20, then 15 times each minute. Based on the pattern, how many in the next minute?
Answer: 10 swings
This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Students learn to identify patterns in motion data and use them to predict what will happen next because similar conditions produce similar results. The pendulum shows a decreasing pattern: 30, 25, 20, then 15 swings per minute, with each value decreasing by 5 swings. Answer A correctly predicts 10 swings for the next minute by continuing this pattern (15-5=10), showing students understand how to extend the observed trend. Answer B (20) would repeat an earlier value rather than continue the pattern, C (30) would go backward in the sequence, and D (25) also repeats a previous value instead of following the decreasing trend. To help students, have them calculate differences between consecutive observations (30-25=5, 25-20=5, 20-15=5) to confirm the pattern. Once they identify "subtract 5 each time," they can confidently predict the next value will be 15-5=10 swings.
- A wind-up car rolls 50 cm, 48 cm, 52 cm, 49 cm, then 51 cm. How does this pattern help predict future motion?
Answer: It stays around 50 cm each trial, so the next will be about 50 cm.
This question aligns with the skill 3-PS2-2: Observe motion patterns to predict future motion. By identifying patterns in how objects move, we can predict future behavior because similar conditions often lead to similar results. The wind-up car rolls 50 cm, 48 cm, 52 cm, 49 cm, and 51 cm, indicating distances fluctuate around an average of about 50 cm without a strict increasing or decreasing trend. Choice B correctly recognizes this clustering pattern, predicting future motion stays around 50 cm, which matches the observed variability. Choices A, C, and D fail by imposing incorrect trends like steady increase, doubling, or decrease that don't fit the data. To teach this, organize distances in order and look for overall trends, such as averaging values to see the central tendency. Calculate differences between consecutive observations to note small variations, then use the pattern to predict the next distance will likely be near 50 cm.
- A marble takes 2 s on 1 m, 4 s on 2 m, and 6 s on 3 m. What pattern appears?
Answer: Time increases by 2 s each time distance increases by 1 m (2, 4, 6).
This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Students observe patterns between distance and time to understand motion relationships and predict future behavior. The marble's data shows it takes 2 seconds for 1 meter, 4 seconds for 2 meters, and 6 seconds for 3 meters, revealing a consistent pattern. The correct answer A accurately identifies that time increases by 2 seconds each time distance increases by 1 meter (2→4 is +2s, 4→6 is +2s). Answer B incorrectly claims time decreases when it clearly increases, while C wrongly states time stays constant at 4 seconds when values clearly change. To find patterns between two variables, organize data and look for consistent relationships - here, each additional meter requires 2 more seconds. This proportional relationship helps students understand that longer distances take more time at constant speed.
- A puck slides 80 cm, 75 cm, then 78 cm in three trials. What pattern do you see?
Answer: Distance stays around 75–80 cm each time.
This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Pattern recognition in motion data helps predict future results because similar conditions produce similar outcomes. The puck slides 80 cm, 75 cm, then 78 cm, showing values that cluster around 75-80 cm with small variations. Answer B correctly identifies this pattern of staying around 75-80 cm each time, recognizing consistency with minor variation. Answer A incorrectly suggests a steady increase, C suggests halving which would give very different values, and D fails to see the pattern of consistency. When consecutive measurements show small variations around a similar value, the pattern is stability rather than systematic change - this often happens when conditions remain constant.
- A marble takes 2 s for 1 m, 4 s for 2 m, and 6 s for 3 m. Predict the time for 4 m.
Answer: 8 s
This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Students use identified patterns to predict future motion because consistent relationships continue under similar conditions. The marble's pattern shows time increases by 2 seconds for each additional meter (1m=2s, 2m=4s, 3m=6s), establishing a clear proportional relationship. The correct answer B (8 seconds) accurately applies this pattern for 4 meters by adding 2 seconds to the 3-meter time (6 + 2 = 8). Answer A (6 seconds) repeats the 3-meter time instead of extending the pattern, while C (10 seconds) adds too much time, and D (4 seconds) goes backward in the sequence. To predict using patterns, identify the consistent change (here, +2 seconds per meter) and apply it systematically. This helps students see that motion follows predictable mathematical rules based on distance-time relationships.
- An object slides 80 cm, 75 cm, then 78 cm on the same surface. Can students predict the next result?
Answer: Yes, it will be around 75–80 cm because the distances stay close.
This question aligns with the skill 3-PS2-2: Observe motion patterns to predict future motion. By identifying patterns in how objects move, we can predict future behavior because similar conditions often lead to similar results. The object slides 80 cm, 75 cm, and 78 cm on the same surface, showing distances cluster closely around 75-80 cm with minor variations. Choice C accurately notes that prediction is possible within this range, reflecting the consistent but variable pattern under identical conditions. Choices A, B, and D fail by assuming exact increase, randomness, or decrease that don't match the stable clustering. To teach this, organize the distances in order and look for 'what happens each time,' such as staying similar. Calculate averages or ranges between observations to identify the pattern, then use it to predict the next slide will likely be around 75-80 cm.
- A pendulum swings 30, 25, 20, 15 times each minute. What pattern do students observe over time?
Answer: Swings decrease by 5 each minute (30, 25, 20, 15).
This question aligns with the skill 3-PS2-2: Observe motion patterns to predict future motion. By identifying patterns in how objects move, students can predict future behavior because similar conditions often lead to similar results. The pendulum's swings are 30, 25, 20, and 15 per minute, decreasing by 5 each time, showing a consistent downward trend. Choice C correctly identifies this decreasing pattern, allowing for predictions like 10 swings next. Distractors like A fail by suggesting an increase, which opposes the observed reduction. List the swings in order and compute the differences between minutes. Have students identify 'what happens each time' and extend the pattern to predict future swings.
- A pendulum swings 30, 25, 20, 15 times each minute. Based on the pattern, what happens next?
Answer: It will swing 10 times next because it decreases by 5 each minute.
This question aligns with the skill 3-PS2-2: Observe motion patterns to predict future motion. By identifying patterns in how objects move, we can predict future behavior because similar conditions often lead to similar results. Here, the pendulum swings 30, 25, 20, and 15 times each minute, revealing a pattern of decreasing by 5 swings per minute. Choice B accurately predicts the next swing as 10 times by continuing the -5 pattern, which matches the consistent subtraction. Choice A incorrectly assumes repetition, while C and D suggest staying the same or increasing, ignoring the decreasing trend. To teach this, organize the swing counts in order and look for what happens each time, such as subtracting 5. Calculate differences between consecutive observations to confirm the pattern, then use it to predict the next value like 15 - 5 = 10.
- A toy car rolls 30 cm, 60 cm, 90 cm, then 120 cm with stronger pushes. What pattern?
Answer: The distance increases by 30 cm each stronger push (30, 60, 90, 120).
This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). When we observe patterns in motion, we can predict what will happen next because similar conditions produce similar results. In this stimulus, the toy car rolls increasingly farther distances (30, 60, 90, 120 cm) with each stronger push, showing a clear increasing pattern. The correct answer B accurately identifies that the distance increases by 30 cm each time, which matches the mathematical relationship where each value is 30 cm more than the previous one. Answer A incorrectly reverses the pattern suggesting distances decrease, answer C fails to recognize the obvious pattern of consistent 30 cm increases, and answer D incorrectly states the car always moves 60 cm when the data clearly shows different distances. To find patterns, organize data in order and calculate the difference between consecutive values - here each difference is +30 cm, allowing us to predict the next distance would be 150 cm.
- A marble takes 2 s on 1 m, 4 s on 2 m, 6 s on 3 m. What pattern?
Answer: Time stays the same at 4 s no matter the track length.
This question tests the skill of observing motion patterns to predict future motion (3-PS2-2). Identifying patterns between distance and time helps us understand motion relationships because consistent changes reveal predictable behavior. The marble's times (2s for 1m, 4s for 2m, 6s for 3m) show time increases by 2 seconds for each additional meter of track. The correct answer A accurately identifies this pattern where time increases proportionally with distance, showing the marble maintains constant speed. Answer B incorrectly reverses the pattern, answer C wrongly claims time stays constant, and answer D dismisses the pattern due to different units when patterns can exist across different measurements. To find motion patterns, examine how one variable changes with another - here time increases by 2s per meter, showing consistent speed.
