Students analyze data from cities on crime and coffee shops to determine …
Students analyze data from cities on crime and coffee shops to determine causation and correlation.
Success Criteria * Students will be able to produce the graph from the table and analyze the situation from which the data was produced to determine that two events may be correlated but in real life, correlation does not equate to causation. Statistics can only tell one side of a story but it takes a mathematician to insert rationality and logic to the situation to bring sense to a problem.
Learning Targets * I can produce a graph and line of best fit based on a table of data. * I can determine and explain whether correlation necessarily equates to causation.
Students investigate 2 point and 3 point shots and total points scored …
Students investigate 2 point and 3 point shots and total points scored as a model to develop a system of equations.
Success Criteria * Students will be able to determine the total number of 2 point and 3 point baskets that Kobe scored in the game by creating an equation that represents the total shots made and one that represents the total points scored off of 2 and 3 point shots.
Learning Targets * I can read and comprehend a real-life situation and apply its conditions to solve a systems of linear equation problem. * I can justify my reasoning through the use of mathematical tools, like graphs, tables, and equations.
Although this task is quite straightforward, it has a couple of aspects …
Although this task is quite straightforward, it has a couple of aspects designed to encourage students to attend to the structure of the equation and the meaning of the variables in it. It fosters flexibility in seeing the same equation in two different ways, and it requires students to attend to the meaning of the variables in the preamble and extract the values from the descriptions.
This task is a contextualized problem in which students are asked to …
This task is a contextualized problem in which students are asked to analyze a purchasing plan for t-shirts and then create their own plan.
Learning Targets: I can create, compare and adjust linear equations that represents real-life situations. I can justify my reasoning through the use of mathematical tools, like graphs, tables, and equations.
Success Criteria: Students will be able to successfully create tables, graphs and equations from the descriptions provided.
The course consists of a sampling of topics from algebraic combinatorics. The …
The course consists of a sampling of topics from algebraic combinatorics. The topics include the matrix-tree theorem and other applications of linear algebra, applications of commutative and exterior algebra to counting faces of simplicial complexes, and applications of algebra to tilings.
The main aims of this seminar will be to go over the …
The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for characteristic zero, Bombieri-Mumford for characteristic p), while working out plenty of examples, and treating their geometry and arithmetic as far as possible.
Topics vary from year to year. Fall Term: Numerical properties and vanish …
Topics vary from year to year. Fall Term: Numerical properties and vanish theorems for ample, nef, and big line bundles and vector bundles; multiplier ideals and their applications
This course provides an introduction to algebraic number theory. Topics covered include …
This course provides an introduction to algebraic number theory. Topics covered include dedekind domains, unique factorization of prime ideals, number fields, splitting of primes, class group, lattice methods, finiteness of the class number, Dirichlet's units theorem, local fields, ramification, discriminants.
Content varies from year to year. Introduces new and significant developments in …
Content varies from year to year. Introduces new and significant developments in algebraic topology with the focus on homotopy theory and related areas. Spring 2003: An introduction to higher algebraic K-theory.
In this math lesson, learners listen to a poem about money from …
In this math lesson, learners listen to a poem about money from Shel Silverstein's "Where the Sidewalk Ends" and examine a quarter. Learners find sets of coins equivalent to a quarter using pennies, nickels and dimes. Learners also estimate and count coin collections and count by fives and tens using actual and online calculators and pose and answer coin puzzles.
The purpose of this task is to emphasize the adjective "geometric" in …
The purpose of this task is to emphasize the adjective "geometric" in the "geometric" series, namely, that the algebraic notion of a common ratio between terms corresponds to the geometric notion of a repeated similarity transformation.
In this task students must investigate this conjecture to discover that it …
In this task students must investigate this conjecture to discover that it does not work in all cases: Pick any two integers. Look at the sum of their squares, the difference of their squares, and twice the product of the two integers you chose. Those three numbers are the sides of a right triangle.
This document is a unit assessment on reasoning with equations and inequalities, …
This document is a unit assessment on reasoning with equations and inequalities, graphing and solving inequalities, and solving systems of linear equations and inequalities. Items for this assessment were pulled or modified from materials from Engage NY and Illustrative Mathematics.
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