This task focuses on the fact that exponential functions are characterized by equal successive quotients over equal intervals. This task can be used alongside F-LE Equal Factors over Equal Intervals.
This task focuses on the fact that linear functions are characterized by constant differences over equal intervals. It could be used alongside to F-LE Equal Differences over Equal Intervals I & II.
This lesson is to build the student’s knowledge using the circular definition of the Unit Circle. Students will learn and practice the sine and cosine functions to find there exact values. Face-to-Face or adaptable for synchronous. Prior to this lesson, students should have the know the 2 special right triangles 30-60-90 and 45-45-90 and its corresponding side lengths in general form. Students should also know the degrees and radian measures of the Unit Circle. For diverse learners, you may want to have a template of the 2 special right triangles and use them to show the development of the exact values as you are teaching the lesson.
This lesson is meant to introduce students to the concept of unit rate. It uses a Canva presentation to introduce the concept. For practice, student will calculate the population density of various countries and compare it to the population density of Utah. There is a worksheet to complete during independent practice, an exit ticket, and an extension activity for fast finishers. Image Credits:"Flag Map Of The World" by GDJ is in the public domain through OpenClipArt.org upload agreement"Utah" by Arohletter1 is in the public domain through OpenClipArt.org upload agreementImage Credit: Christian Cragun
This is a one-slide interactive activity where students write equations based on their knowledge of complementary and supplementary angles.
This task presents a context that leads students toward discovery of the formula for calculating the volume of a sphere. Students who are given this task must be familiar with the formula for the volume of a cylinder, the formula for the volume of a cone, and CavalieriŐs principle.
Using manipulatives, students figure out patterns in problems involving seating arrangements. They write algebraic equations to describe the relationships.
This task deals with a student error that may occur while students are completing F-IF Average Cost.
The purpose of the task is to explicitly identify a common error made by many students, when they make use of the "identity" f(x+h)=f(x)+f(h). A function f cannot in general be distributed over a sum of inputs.
Students are introduced to algebraic expressions that use more than one variable and have multiple solutions. They figure out combinations of two items at different costs, with each combination adding up to 100.
In this Cyberchase video segment, the CyberSquad must locate each other using a map's grid to construct a coordinate system using letters and numbers.
This lesson plan allows students to choose a numerical data set and analyze the data with the Numbers app on an Apple iPad. Image credit: "iPad" by Sean MacEntee , CC By 2.0 , from Flickr
Mathematics is essential to navigating our data-filled and technologically-driven society. Every Utah learner is entitled to the acquisition of competent mathematics knowledge for skills, and dispositions and the inherent empowerment associated with such achievement. Currently, 50% of Utah’s third grade students are mathematically proficient and that percentage decreases to 43% by eighth grade (USBE, 2019). Therefore, Utah’s PK–12 Mathematics Framework is designed to serve as an evidence-based guide for educators to initiate productive growth and change in mathematical opportunities, achievement and outcomes for students in line with Utah’s Portrait of a Graduate.
This lesson is for a math classroom, but can be adapted to fit any grade, subject, or content. In this lesson, students will use an iPad and its features: Keynote, Pages, Garageband, Numbers, Presentation, and iMovie. Students will use 3 of those features/programs to create a video lesson consisting of several examples from a topic of their choice. This project is in place of a term final, so their chosen topic should be from their current term.Image citation: The image is one I created.
Multiple sets of visual patterns that follow a variety of patterns such as linear, exponential, quadratic, etc. Can be used to have students figure out what the next set of shapes will look like, write equations to describe the pattern, and predict how many shapes will be the 43rd set or beyond.
This lesson plan utilizes the iPad to solidify student understanding of volume. This lesson plan can be adapted to meet any volume standard at any grade level. Students will explore different shapes and learn how to find the volume of shapes. They will create 3-D shapes using Tayasui sketches orAdobe illustrator. They will be able to create their shapes with technology and make a 3D model out of paper.Thumbnail resource: Teacher created thumbnail.
This task is meant to be a straight-forward assessment task of graph reading and interpreting skills. This task helps reinforce the idea that when a variable represents time, t=0 is chosen as an arbitrary point in time and positive times are interpreted as times that happen after that.
The principal purpose of the task is to explore a real-world application problem with algebra, working with units and maintaining reasonable levels of accuracy throughout.
These problems give students the opportunity to construct and compare linear, quadratic, and exponential models.
In this Cyberchase video segment, Harry tries to snowboard and learns how to measure and identify many common angles.