Common Core Aligned Resources for HSF-BF.B.3
Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
Showing 1 - 30 of 156 resources
F.BF.B.3 and F.BF.B.5 Assessment Items
9th - 11th CCSS: Designed
Transform questions into a formal assessment instrument. A set of five assessment items tests understanding of the Common Core math standards F-BF.3 and F-BF.5. Pupils identify transformations of functions and interpret parameters of...
Transformers Parts 2-5 - Algebra 2 Parent Functions
10th - 12th CCSS: Adaptable
Dive into an activity that may cause a little reflection! Building from the first lesson in the series of two, learners explore transformation using unfamiliar functions. The key takeaway is that applying transformations to any function...
Transformers Part 1 - Absolute Value and Quadratic Functions
9th - 11th CCSS: Adaptable
Transform your instruction with an exploratory lesson! Young scholars manipulate absolute value and quadratic functions to look for transformation patterns. They use the patterns to write general rules of transformations.
Transformations of Graphs: Translations
3 mins 9th - 12th CCSS: Adaptable
Explore translations of functions on both the graph and equation. Using a quadratic function, a video lesson shows how adding and subtracting values results in either a vertical or horizontal translation. The lesson compares and...
Representational Relationships of Lines and Parabolas
9th - 12th CCSS: Adaptable
Slide into different representations of linear and quadratic functions using equations and graphs. Using sliders, learners can change the parameters in linear and quadratic functions. By doing so, they explore the effects of the...
Creating a Polynomial Function to Fit a Table
9th - 10th CCSS: Designed
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
Families of Lines: Room in Perspective
8th - 10th CCSS: Designed
Get a perspective of lines that share a point. The interactive displays a family of lines that share the same y-intercept. Individuals can find the equations of the lines by moving the line displayed and find what is common about all the...
Building an Explicit Quadratic Function by Composition
9th - 12th CCSS: Designed
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the direction it...
Modeling Motion: Rolling Cups
1 min 9th - 12th CCSS: Designed
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup measurements...
Building a General Quadratic Function
9th - 12th CCSS: Designed
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...