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Beating Usain Bolt

Classroom Resource Information

Title:

Beating Usain Bolt

URL:

https://aptv.pbslearningmedia.org/resource/mgbh.math.g.race/beating-usain-bolt/

Content Source:

PBS

Type:

Audio/Video

Overview:

Students will use mathematics to determine what is required to beat world champion Usain Bolt in a 200-meter race. This video focuses on systems of equations that are visualized by completing a table of values and looking for a point of intersection in a set of line graphs.

Content Standard(s):

Mathematics
MA2019 (2019)
Grade: 5

2. Generate two numerical patterns using two given rules and complete an input/output table for the data.

a. Use data from an input/output table to identify apparent relationships between corresponding terms.

b. Form ordered pairs from values in an input/output table.

c. Graph ordered pairs from an input/output table on a coordinate plane.

Unpacked Content

Evidence Of Student Attainment:

Students:
Use two related rules to

Generate numerical patterns and record as ordered pairs.
Graph ordered pairs consisting of corresponding terms.
Identify and explain relationships between corresponding terms.

Example: Given the rule "add 1 starting at 0", and "add 2 starting at 0," explain the terms in one sequence as 1/2 the corresponding terms in the other sequence, or the terms in one sequence are twice the corresponding terms in the other sequence.

Teacher Vocabulary:

Number pattern
Graph
Coordinate plane
X-axis
Y-axis
Origin
X-coordinate
Y-coordinate
Ordered pair
Generate
Sequence

Knowledge:

Students know:

Strategies to identify numerical patterns and recognize the relationship between the terms in the pattern.
Reasoning strategies to generate a numerical pattern which follow a given rule.

Skills:

Students are able to:

Generate two numerical patterns using two given rules.
Complete an input/output table for data.
Identify relationship between terms in an input/output table.
Form ordered pairs from an input/output table.
Graph ordered pairs on a coordinate plane.

Understanding:

Students understand that:

relationships between two numerical patterns can be represented by ordered pairs and graphed in the first quadrant of the coordinate plane.

Diverse Learning Needs:

Essential Skills:

Learning Objectives:
M.5.2.1: Construct repeating and growing patterns with a variety of representations.
M.5.2.2: Continue an existing pattern.
M.5.2.3: Identify arithmetic patterns (including patterns in the addition table or multiplication table).

Prior Knowledge Skills:

Generate two numerical patterns using two given rules.
Complete an input/output table for data.
Identify relationship between terms in an input/output table.
Form ordered pairs from an input/output table.
Graph ordered pairs on a coordinate plane.

Alabama Alternate Achievement Standards

AAS Standard:
M.AAS.5.2 Given a rule, Identify and extend numerical patterns (e.g., given the rule "Add 3" and the starting number 0).

Mathematics
MA2019 (2019)
Grade: 5

20. Graph points in the first quadrant of the coordinate plane, and interpret coordinate values of points to represent real-world and mathematical problems.

Unpacked Content

Evidence Of Student Attainment:

Students:

Use the first quadrant in a coordinate plane to identify coordinates of a given point.
Use the first quadrant in a coordinate plane to explain how the location of an ordered pair is determined.
Given a real-world situation involving a relationship between two variables, graph a representation of the situation and interpret coordinate values of the points in the context of the problem.
Given a graph representing a real-world situation, interpret the coordinate values of the points in the context of the situation.

Teacher Vocabulary:

Coordinate system
Coordinate plane
First quadrant
Points
Lines
Perpendicular
X-axis
Y-axis
Origin
Ordered pair
Coordinate plane
Horizontal
Vertical
Intersection of lines

Knowledge:

Students know:

Specific directions and vocabulary to explain ordered pair location.
The first number of an ordered pair indicates how far to travel from the origin in the direction of one axis and the second number indicates how far to travel in the direction of the second axis.

Skills:

Students are able to:

Graph points in the first quadrant.
Interpret coordinate values in context of the problem.

Understanding:

Students understand that:

graphing points on a coordinate plane provides a representation of a mathematical context which aids in visualizing situations and solving problems.

Diverse Learning Needs:

Essential Skills:

Learning Objectives:
M.5.20.1: Define ordered pair of numbers, quadrant one, coordinate plane, and plot points.
M.5.20.2: Label the horizontal axis (x).
M.5.20.3: Label the vertical axis (y).
M.5.20.4: Identify the x- and y- values in ordered pairs.
M.5.20.5: Model writing ordered pairs.

Prior Knowledge Skills:

Graph points in the first quadrant.
Interpret coordinate values in context of the problem.

Alabama Alternate Achievement Standards

AAS Standard:
M.AAS.5.20 Identify a point on a horizontal number line representing the horizontal x-axis (no greater than 5) and identify a point on a vertical number line representing the y-axis (no greater than 5).

Tags:

graph, input, intersection, line graph, ordered pairs, output, table, Usain Bolt

License Type:

Custom Permission Type
See Terms: https://aptv.pbslearningmedia.org/help/terms-of-use/
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses

Accessibility

Video resources: includes closed captioning or subtitles

Comments

This resource provided by:

Author:

Stephanie Carver

ALEX Classroom Resource

Beating Usain Bolt