This task is designed as a follow-up to the task F-LE Do …
This task is designed as a follow-up to the task F-LE Do Two Points Always Determine a Linear Function? Linear equations and linear functions are closely related, and there advantages and disadvantages to viewing a given problem through each of these points of view. This task is intended to show the depth of the standard F-LE.2 and its relationship to other important concepts of the middle school and high school curriculum, including ratio, algebra, and geometry.
This task requires students to use the normal distribution as a model …
This task requires students to use the normal distribution as a model for a data distribution. Students must use given means and standard deviations to approximate population percentages. There are several ways (tables, graphing calculators, or statistical software) that students might calculate the required normal percentages. Depending on the method used, answers might vary somewhat from those shown in the solution.
The purpose of the task is to analyze a plausible real-life scenario …
The purpose of the task is to analyze a plausible real-life scenario using a geometric model. The task requires knowledge of volume formulas for cylinders and cones, some geometric reasoning involving similar triangles, and pays attention to reasonable approximations and maintaining reasonable levels of accuracy throughout.
Students gain an understanding of the factors that affect wind turbine operation. …
Students gain an understanding of the factors that affect wind turbine operation. Following the steps of the engineering design process, engineering teams use simple materials (cardboard and wooden dowels) to build and test their own turbine blade prototypes with the objective of maximizing electrical power output for a hypothetical situation—helping scientists power their electrical devices while doing research on a remote island. Teams explore how blade size, shape, weight and rotation interact to achieve maximal performance, and relate the power generated to energy consumed on a scale that is relevant to them in daily life. A PowerPoint® presentation, worksheet and post-activity test are provided.
This is an activity about modeling the apparent motion of the Sun …
This is an activity about modeling the apparent motion of the Sun as seen from Earth. Learners will use a flashlight, toothpick, and styrofoam model Sun to mimic the relative shadow motion produced by a sundial. The activity will help learners understand that because the Earth rotates from West to East, the Sun appears to rise in the East and set in the West. This is Activity 6 of the Sun As a Star afterschool curriculum.
The purpose of this task to help students think about an expression …
The purpose of this task to help students think about an expression for a function as built up out of simple operations on the variable, and understand the domain in terms of values for which each operation is invalid (e.g., dividing by zero or taking the square root of a negative number).
How many dots will be on the screen after the last bell? …
How many dots will be on the screen after the last bell? Through the use of videos and a couple of helpful clues, students are challenged to use counting, patterns, and algebraic thinking to determine how many dots (and even what colors!) will be on the screen (covered in the first Act) after the last bell.
" Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their …
" Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their representations appear in many contexts: integrable systems (Calogero-Moser and Ruijsenaars models), algebraic geometry (Hilbert schemes), orthogonal polynomials, Lie theory, quantum groups, etc. In this course we will review the basic theory of DAHA and their representations, emphasizing their connections with other subjects and open problems."
This activity was used as an addition to the lesson "NBT1 Ford …
This activity was used as an addition to the lesson "NBT1 Ford and Logan Add 45 +36" https://www.illustrativemathematics.org/content-standards/tasks/2068. As a variation of the lesson I started with placing ten sticks and ones in a cup. I wrote the number of cubes in the cup on a piece of paper and set it on top of the cup. Along side the cup I placed more ten sticks and ones. "How many cubes are there altogether?" Together we counted the cubes, using tens and ones language (5 tens plus 2 tens equals 7 tens). After the students were confident in combining tens and ones, with regrouping, I moved onto the attached sheet. This helped move the students from a concrete model to a pictorial representation. It was very important that they used precise language when combining the tens and ones.
This task would be especially well-suited for instructional purposes. Students will benefit …
This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.
Seminar on a selected topic from Renaissance architecture. Requires original research and …
Seminar on a selected topic from Renaissance architecture. Requires original research and presentation of a report. The aim of this course is to highlight some technical aspects of the classical tradition in architecture that have so far received only sporadic attention. It is well known that quantification has always been an essential component of classical design: proportional systems in particular have been keenly investigated. But the actual technical tools whereby quantitative precision was conceived, represented, transmitted, and implemented in pre-modern architecture remain mostly unexplored. By showing that a dialectical relationship between architectural theory and data-processing technologies was as crucial in the past as it is today, this course hopes to promote a more historically aware understanding of the current computer-induced transformations in architectural design.
This lesson unit is intended to help assess how well students are …
This lesson unit is intended to help assess how well students are able to interpret and use scale drawings to plan a garden layout. This involves using proportional reasoning and metric units.
Unit Title: Dream Garden MeasurementsAuthor: Melissa WimmlerSchool: Discovery Charter School, Columbus School …
Unit Title: Dream Garden MeasurementsAuthor: Melissa WimmlerSchool: Discovery Charter School, Columbus School DistrictGrade Level: 2nd GradeContent Area(s): Math, Environmental ScienceContext: Our governance council is working on a school wide project to improve the lawn space in front of our school and create our dream garden. During this six-lesson unit the second-grade students estimated and accurately measured objects in the space and perimeter. The students calculated the area of the space and used square units to plan spaces and garden beds.
This task builds on a fifth grade fraction multiplication task and uses …
This task builds on a fifth grade fraction multiplication task and uses the identical context, but asks the corresponding ŇNumber of Groups UnknownÓ division problem.
This task builds on a fifth grade fraction multiplication task and uses …
This task builds on a fifth grade fraction multiplication task and uses the identical context, but asks the corresponding ŇNumber of Groups UnknownÓ division problem.
In this lesson plan from NCTM Illuminations students learn to add fractions …
In this lesson plan from NCTM Illuminations students learn to add fractions with like and unlike denominators to make a sum of one. The lesson plan includes two games utilizing fraction cards (PDF) and a fraction bar chart (PDF), and an online game through Calculation Nation which is cataloged separately.
This is one of Dan Meyer's "Three-Act Math" problems which gives students …
This is one of Dan Meyer's "Three-Act Math" problems which gives students two choices for the purchase of a discounted product. One of the choices is a percent discount while the other is a dollar value discount. The students choose the best deal.
No restrictions on your remixing, redistributing, or making derivative works. Give credit to the author, as required.
Your remixing, redistributing, or making derivatives works comes with some restrictions, including how it is shared.
Your redistributing comes with some restrictions. Do not remix or make derivative works.
Most restrictive license type. Prohibits most uses, sharing, and any changes.
Copyrighted materials, available under Fair Use and the TEACH Act for US-based educators, or other custom arrangements. Go to the resource provider to see their individual restrictions.
