Ontario Alignment By Overall Expectation
CCSS Alignment By Grade
CCSS Alignment By Standard
Will Darius Washington score enough free throws to force overtime or a win? That is the question that John Scammell poses on his blog when the Memphis Tigers’ player steps up to the line with no time left on the clock to take the 3 biggest shots of his life; down by 2 points against the Louisville Cardinals.
Note that some of the videos on John’s site weren’t working last I checked, so I found some working ones from YouTube posted by Jim Pardun. Thanks, Jim!
Act 1: Sparking Curiosity
Show this video.
You can do a notice and wonder here. Have students share out their thinking.
The videos captured from the television broadcast announces both Washington’s season free-throw success percentage of 72% and for the game, 2 out of 3 shots. Students can discuss which probability they believe makes the most sense in this case and whether making adjustments based on their own subjective probability would be appropriate when considering the pressure he is under.
Act 2: Reveal Information
Show the Act 2, Part 1 Video:
Act 2, Part 2 Video:
Act 3: Revealing the Solution
Fuel Sense Making
Not only can you have discussions about theoretical, experimental, and subjective probabilities, but the introduction of counting techniques for finding probability and discovering the Binomial Discrete Probability Distribution are also huge benefits of this problem.
Scammell also clearly outlines the 7-steps he typically uses when introducing this problem while also making it clear that the students have no prior knowledge of Binomial Probabilities. I personally think you can do this in younger grades without going as far as binomial just using tree diagrams and logic.
Best of all, he has the original video cut into individual files for download that eliminate any of the hints or clues that the title of the original YouTube Video might suggest.
How did it go?
How did the problem work out in your classroom? Leave a comment below to let us know!
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About Kyle Pearce
I’m Kyle Pearce and I am a former high school math teacher. I’m now the K-12 Mathematics Consultant with the Greater Essex County District School Board, where I uncover creative ways to spark curiosity and fuel sense making in mathematics. Read more.
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Grade 2 [2.B1.1, 2.B1.3, 2.B2.1, 2.B2.2, 2.B2.3, 2.B2.4, Measurement - M1, Number Sense and Numeration - NS1, Number Sense and Numeration - NS2, Number Sense and Numeration - NS3]
Grade 3 [3.B1.5, 3.B2.1, 3.B2.3, 3.B2.7, Measurement - M1, Number Sense and Numeration - NS1, Number Sense and Numeration - NS3]
Grade 4 [4.B2.1, 4.B2.4, 4.E2.5, 4.E2.6, Measurement - M1, Number Sense and Numeration - NS1, Number Sense and Numeration - NS3, Patterning and Algebra - PA2]
Grade 5 [5.B1.7, 5.B2.9, 5.D1.3, 5.D1.6, 5.E2.6, 5.F1.2, 5.F1.5, Measurement - M1, Measurement - M2, Number Sense and Numeration - NS1, Number Sense and Numeration - NS3, Patterning and Algebra - PA2]
Grade 6 [6.B2.12, 6.B2.9, Data Management and Probability - DP3, Measurement - M1, Measurement - M2, Number Sense and Numeration - NS1, Number Sense and Numeration - NS2, Number Sense and Numeration - NS3, Patterning and Algebra - PA1, Patterning and Algebra - PA2]
Grade 7 [7.B1.3, 7.B1.4, 7.B1.7, 7.B2.2, 7.B2.3, 7.C1.1, 7.C1.2, 7.C1.3, 7.C1.4, 7.D1.6, Data Management and Probability - DP3, Geometry and Spatial Sense - GS1, Measurement - M1, Measurement - M2, Number Sense and Numeration - NS1, Number Sense and Numeration - NS2, Number Sense and Numeration - NS3, Patterning and Algebra - PA1, Patterning and Algebra - PA2]
Grade 8 [8.B1.4, 8.B2.5, 8.C1.1, 8.C1.2, 8.C1.3, 8.C1.4, Data Management and Probability - DP1, Data Management and Probability - DP3, Geometry and Spatial Sense - GS2, Measurement - M1, Measurement - M2, Number Sense and Numeration - NS1, Number Sense and Numeration - NS2, Number Sense and Numeration - NS3, Patterning and Algebra - PA1, Patterning and Algebra - PA2]
Grade 9 [9.B3.5, 9.C3.1, 9.C3.2, 9.C3.3]
Kindergarten [k.15.1, k.15.10, k.15.2]
MAP4C [Mathematical Models - MM1, Mathematical Models - MM2, Mathematical Models - MM3]
MAT1LMAT2LMBF3C [Data Management - DM1, Data Management - DM2, Geometry and Trigonometry - GT1, Geometry and Trigonometry - GT2, Mathematical Models - MM1, Mathematical Models - MM2, Mathematical Models - MM3]
MCF3M [Exponential Functions - EF2, Quadratic Functions - QF1, Quadratic Functions - QF2, Quadratic Functions - QF3, Trigonometric Functions - TF1, Trigonometric Functions - TF3]
MCR3U [Characteristics of Functions - CF1, Characteristics of Functions - CF2, Exponential Functions - EF2, Exponential Functions - EF3, Trigonometric Functions - TF3]
MCT4C [Exponential Functions - EF1, Trigonometric Functions - TF3]
MCV4U [Derivatives and Their Applications - DA2]
MDM4U [Counting and Probability - CP2, Organization of Data For Analysis - DA2, Probability Distributions - PD1, Statistical Analysis - SA1, Statistical Analysis - SA2]
MEL4EMFM1P [Linear Relations - LR1, Linear Relations - LR2, Linear Relations - LR3, Linear Relations - LR4, Measurement and Geometry - MG1, Measurement and Geometry - MG2, Measurement and Geometry - MG3, Number Sense and Algebra - NA1, Number Sense and Algebra - NA2]
MFM2P [Measurement and Trigonometry - MT1, Measurement and Trigonometry - MT2, Measurement and Trigonometry - MT3, Modelling Linear Relations - LR1, Modelling Linear Relations - LR2, Modelling Linear Relations - LR3, Quadratic Relations in y = ax^2 + bx + c Form - QR1, Quadratic Relations in y = ax^2 + bx + c Form - QR2, Quadratic Relations in y = ax^2 + bx + c Form - QR3]
MHF4U [Characteristics of Functions - CF3, Exponential and Logarithmic Functions - EL2, Exponential and Logarithmic Functions - EL3]
MPM1D [AG3, Analytic Geometry - AG1, Analytic Geometry - AG2, LR1, LR2, LR3, MG1, MG2, MG3, NA1, Number Sense and Algebra - NA2]
MPM2D [AG1, AG2, AG3, QR2, Quadratic Relations - QR3, Quadratic Relations - QR4, T2, T3]
Functions [F-BF.1, F-BF.3, F-IF.4, F-LE.1, F-LE.2, F-LE.3, F-TF.5]
Geometry [G-C.5, G-C.8, G-C.9, G-GMD.3, G-GMD.4, G-GPE.4, G-GPE.5, G-GPE.7, G-MG.1, G-MG.2, G-SRT.11]
Grade 1 [1.NBT.4, 1.OA.1, 1.OA.6, 1.OA.A.1, 1.OA.B.3, 1.OA.B.4, 1.OA.C.5, 1.OA.C.6]
Grade 2 [2.NBT.5, 2.NBT.B.5, 2.NBT.B.8, 2.NBT.B.9, 2.OA.2, 2.OA.A.1, 2.OA.B.2]
Grade 3 [3.MD.C.5, 3.NBT.2, 3.NF.1, 3.NF.2, 3.NF.3, 3.NF.A.1, 3.OA.1, 3.OA.5, 3.OA.9]
Grade 4 [4-MD.3, 4.MD.1, 4.MD.2, 4.NBT.6, 4.NF.3, 4.NF.5, 4.NF.6, 4.OA.1, 4.OA.5]
Grade 5 [5.B1.7, 5.D1.3, 5.D1.6, 5.MD.1, 5.MD.3, 5.MD.4, 5.MD.5, 5.NBT.2, 5.NBT.3, 5.NBT.6, 5.NBT.7, 5.NF.1, 5.NF.2, 5.NF.3, 5.NF.4, 5.NF.5, 5.OA.1, 5.OA.2, 5.OA.3]
Grade 6 [6.EE.1, 6.EE.2, 6.EE.5, 6.EE.6, 6.EE.7, 6.G.1, 6.G.2, 6.NS.1, 6.NS.3, 6.NS.6, 6.NS.B.3, 6.NS.C.6, 6.NS.C.7, 6.NS.C.8, 6.RP.1, 6.RP.2, 6.RP.3, 6.RP.A.1, 6.RP.A.2, 6.RP.A.3, 6.RP.A.3.C]
Grade 7 [7.EE.3, 7.EE.4, 7.EE.A.1, 7.G.3, 7.G.4, 7.G.6, 7.NS.A.1, 7.NS.A.2, 7.RP.1, 7.RP.3, 7.RP.A.2.B, 7.RP.A.3, 7.SP.2, 7.SP.5, 7.SP.6]
Grade 8 [8.EE.1, 8.EE.5, 8.EE.6, 8.EE.7, 8.EE.8, 8.F.2, 8.F.3, 8.F.4, 8.F.5, 8.G.5, 8.G.6, 8.G.7, 8.G.9, 8.SP.1]
Grade 9Kindergarten [K.CC.A.1, K.NBT.A.1, K.OA.A.1, K.OA.A.2, K.OA.A.3]
Practice [MP.1, MP.2, MP.3, MP.4, MP.6, MP.7]
Statistics & Probability [S-ID.6, S-MD.4]
I plan to use this set of video in my G7 math class introducing probablility to my kids.
Amazing to hear! Let us know how it goes!