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Mathematics
Graph-A-Palooza (Linear Equations)
Are you trying to help your students see the connection between slope-intercept, point-slope, and standard form? If so, Graph-A-Palooza is the activity for you.
With four pages and a total of 16 problems, students will begin by finding the slope between two points. Once they find the slope, students will write an equation in point slope form and then convert that equation to slope intercept form. After this, students will convert their equation to standard form and use that equation to easily find the x and y intercepts. Students will plot the two given two points, any x and y intercepts that they find, and then they will draw a line connecting the points. Students should then verify that the slope matches their graphs and that all the concepts and ideas connect together.
This is a great activity to reinforce the three forms of equations and see how they are all connected. Students must be able to work with fractions and distribution to complete all of the problems.
AP Calculus Optimization and Related Rates Foldable
This single piece of paper foldable has instructions, strategies, and an example for related rates, optimization, linearization, and differential problems.
One foldable and one "answer key" foldable are included. The teacher can either provide the students with the "answer key" foldable, or the teacher can walk through the setup, the steps, and the answer to each of the examples and have the students fill in portions and highlight and color in important information as they work along.
Students will simply fold the piece of paper in toward the center line on the Related Rates/Optimization side and a small booklet will be created.
Quadratic Functions (All 3 Forms) Foldable
A foldable for Algebra 1 and Algebra 2 that covers the standard, vertex, and factored forms of quadratic equations. There are explanations on what each of the parameters mean for each of the three forms and there is an example of the same problem graphed using all three forms. Both a completely filled in foldable and a half filled in foldable (so students can include their own examples) are included.
Systems of Linear Equations Foldable
A foldable for Algebra 1 that covers the graphing, substitution, and elimination methods. There are directions on how to solve using each method and there is an example of the same problem solved using all three methods. Both a completely filled in foldable and a half filled in foldable (so students can include their own examples) are included.
Bundle
Algebra 1 Foldables
Foldables/Studyguides for Algebra 1 topics
1) Exponent Rules Foldable
2) Linear Exponential Quadratic Foldable
3) Linear Functions (All 3 Forms) Foldable
4) Quadratic Functions (All 3 Forms) Foldable
5) Systems of Linear Equations Foldable
Math Guide - Box Plots
A math guide that helps students with vocabulary such as data, five number summary, median, quartiles, minimum, maximum, interquartile range, and box plots.
Includes one example and one blank template to use in your classroom.
Calculus Link Sheet Package (12 Templates)
This package includes 12 templates to help students understand and make connections between the equations, tables, and graphs of functions and relations. These link sheets allow students to view multiple representations and to have a graphic organizer to guide them through various topics covered in AP Calculus.
The teacher will begin by giving students an equation or situation for a specific template. The students will complete the table, graphs, and understanding questions on the remainder of the link sheet. This activity is great for students to work collaboratively and share and discuss the connections in math with one another.
These activities will allow students to gain a better understanding of domain, range, limits, points of discontinuity, extended functions, removable discontinuities, differentiability, maximums, minimums, shelfs, increasing and decreasing intervals, concavity, sign charts, optimization, related rates, linearization, differentials, chain rule, composite functions, net area, total area, integrals, and separable differential equations.
This package include link sheets that cover the following topics:
1) Limits
2) Continuity and Differentiability
3) Derivatives
4) Sketching First and Second Derivatives
5) Sketching Functions
6) Optimization
7) Related Rates
8) Linearization/Differentials
9) The Chain Rule (Simple Version)
10) The Chain Rule (Advanced Version)
11) Net Area and Total Area
12) Separable Differential Equations
Function Link Sheet Package (24 Full Page Templates)
This Common Core aligned package includes 24 templates, which help students understand and make connections between the equations, tables, and graphs of various functions. These link sheets allow students to view multiple representations of functions from Algebra 1 all the way through Pre-Calculus. Two different formats are provided. One is a full page package and the other is a half page landscape package. The full page package has one link sheet per piece of paper and the half page landscape package has two link sheets per piece of paper.
Once the teacher gives students an equation for a specific function, the students will complete the table, graphs, and understanding questions on the remainder of the link sheet. This activity is great for students to work collaboratively and share and discuss the connections in math with one another.
These activities will allow students to gain a better understand of x-intercepts, y-intercepts, domain, range, asymptotes, increasing and decreasing intervals, max and mins, symmetry, amplitudes, periods, phase shifts, vertical and horizontal stretches and compressions, reflections, midlines, slopes, variables, parameters, and the overall transformations of functions. This package include link sheets that cover the following topics:
1-2) Linear Functions (2 different pages - 1 for real life word problems in the first quadrant and 1 for lines extending through multiple quadrants)
3) Comparing Linear Functions
4) System of Linear Inequalities
5) Quadratic Functions
6) Exponential Functions
7) Comparing Linear/Quadratic/Exponential Functions
8) Cubic Functions
9) Logarithmic Functions
10) Radical Functions
11) Absolute Value Functions
12) Rational Functions
13) Piecewise Functions
14) Sine/Cosine Functions
15) Tangent Functions
16) Inverse Trigonometric Functions (2 page set covering inverse sine, cosine, and tangent with 2 page answer key)
17) Variation
18) Sequences
19) Sequences and Series
20-21) Inverse Functions (Two different pages - One is designed for introducing all of the connections between inverses and one is more geared toward analyzing the functions)
22) Even/Odd Functions
23) Composite Functions
24) Transformations of Functions
3D Cake In The Coordinate Plane
A fun Geometry activity to engage your students in a real life situation of making a cake and seeing if you are able to do it under budget. This activity has students use graphing, surface area, volume, unit conversion, Pythagorean Theorem, and more! Great for an end of the year review activity or a great way to tie in numerous mathematical concepts!
PDF file includes 2 page worksheet and 2 page answer key.
The Walking Dead Zombie Apocalypse Task - Exponential Functions
Engage your students in a mathematical task echoing the premise of the popular TV show, "The Walking Dead".
With an impending zombie apocalypse on the horizon, students are asked to compile a report to the United States government warning of the potential dangers looming ahead and to explain how much time is left to save the world. This mathematical task gives students the opportunity to further explore and understand exponential functions in a “real world” situation. Students will utilize technology to incorporate tables and graphs into their official report, and they will be asked to analyze their information and support and defend their reasoning. Students will have the ability to be creative and create an engaging presentation as they explain their results from the function they have developed.
This pdf file includes 1 title page, 1 page of directions, a 1 page sample rubric for grading purposes, and a 2 page answer key.
Teach Me How To Factor Guided Notes
From the producers of "Teach Me How to Factor", a set of guided notes that mirror the popular YouTube music video math rap. The guided notes walk students through the video lesson and come complete with warmup questions, self-check problems for students, lyric sheets, class discussion questions, and answer keys. This pdf file has everything you will need to turn an exciting video into an effective and engaging lesson. Great for teaching about factoring binomials, factoring difference of squares, and factoring trinomials. Discussion questions discuss polynomials, terms, degrees, FOIL, and GCF (greatest common factors). This lesson prepares students to factor so that they may eventually solve quadratic equations. Math, music, song, rap, dancing, and fun...what more could a teacher want? Good to use for 7th through 10th grade. Great for homeschool use, review for adults, or any algebra or pre-algebra class. An all around great lesson aligned to the Common Core State Standards. Includes 1 title page, 3 pages of guided notes, 2 pages of lyrics, 1 page of discussion questions, and 4 pages of answer keys for the guided notes and discussion questions.
All I Do Is Solve Guided Notes
From the producers of "All I Do Is Solve", a set of guided notes that mirror the popular YouTube music video math rap. The guided notes walk students through the video lesson and come complete with warmup questions, self-check problems for students, lyric sheets, class discussion questions, and answer keys. This pdf file has everything you will need to turn an exciting video into an effective and engaging lesson. Great for teaching about the graphing, elimination, and substitution methods for solving systems of equations. Discussion questions discuss systems, infinite solutions, no solutions, additive inverses and expressions. This lesson prepares students to solve systems of equations to help find real real world solutions. Math, music, song, rap, dancing, and fun...what more could a teacher want? Good to use for 8th through 10th grade. Great for homeschool use, review for adults, or any algebra or algebra 2 class. An all around great lesson aligned to the Common Core State Standards. Includes 1 title page, 6 pages of guided notes, 2 pages of lyrics, 1 page of discussion questions, and 7 pages of answer keys for the guided notes and discussion questions.
Super Base Guided Notes
From the producers of "Super Base", WSHSmath presents a set of guided notes that mirror the popular YouTube music video math rap. The guided notes walk students through the video lesson and come complete with warmup questions, self-check problems for students, lyric sheets, class discussion questions, and answer keys. This pdf file has everything you will need to turn an exciting video into an effective and engaging lesson. Great for teaching about repeated multiplication, exponents, and the exponent rules. Discussion questions discuss the product rule, the quotient rule, the power rule, negative exponents and more. This lesson helps students to understand exponents so that they may eventually solve exponential equations. Math, music, song, rap, dancing, and fun...what more could a teacher want? Good to use for 7th through 10th grade to review exponent rules. Great for homeschool use, review for adults, or any algebra or pre-algebra class. An all around great lesson aligned to the Common Core State Standards. Includes 1 title page, 3 pages of guided notes, 2 pages of lyrics, 1 page of discussion questions, and 4 pages of answer keys for the guided notes and discussion questions.
Graph Guided Notes
From the producers of "Graph!", WSHSmath presents a set of guided notes/problem sets that mirror the popular YouTube music video math rap. The activity guides students through the video lesson and comes complete with warmup questions, problem sets, lyric sheets, and answer keys. This pdf file has everything you will need to turn an exciting video into an effective and engaging lesson. Great for teaching about linear functions, rate of change, y-intercepts, slope, standard form, and point slope form. Math, music, song, rap, dancing, and fun...what more could a teacher want? Good to use for 8th through 9th grade to teach or review graphing linear equations. Great for homeschool use, review for adults, or any algebra or pre-algebra class. An all around great lesson aligned to the Common Core State Standards. Includes 1 title page, 8 pages of guided notes/problem sets, 2 pages of lyrics, and 8 pages of answer keys.
Do The Quad Solve Guided Notes
From the producers of "Do The Quad Solve", a set of guided notes that mirror the popular YouTube music video math rap. The guided notes walk students through the video lesson and come complete with warmup questions, self-check problems for students, lyric sheets, class discussion questions, and answer keys. This pdf file has everything you will need to turn an exciting video into an effective and engaging lesson. Great for teaching about factoring, completing the square, and the quadratic formula. Discussion questions discuss linear factors, the zero product property, trinomial perfect squares, and discriminants. This lesson prepares students to solve quadratics so that they may eventually solve cubic and other polynomial equations. Math, music, song, rap, dancing, and fun...what more could a teacher want? Good to use for Algebra 1 and Algebra 2. Great for homeschool use, review for adults, or any algebra class. An all around great lesson aligned to the Common Core State Standards. Includes 1 title page, 6 pages of guided notes, 2 pages of lyrics, 1 page of discussion questions, and 7 pages of answer keys for the guided notes and discussion questions.
There are also two templates included for additional guided practice. One page is for guided practice with the Quadratic Formula and one page is for guided practice with Completing The Square. These pages allow teachers to create their own quadratic equations and have the students solve them by filling in the blanks until the students are comfortable with the process.
Linear Exponential Quadratic Foldable
A foldable for Algebra 1 that covers the linear, exponential, and quadratic functions. There are explanations on what each of the parameters mean for each of the three functions and there is an example for each of the different functions.. Both a completely filled in foldable and a half filled in foldable (so students can include their own examples) are included.
Exponent Rules Foldable
A foldable for Algebra 1 that covers the linear, exponential, and quadratic functions. There are explanations on what each of the parameters mean for each of the three functions and there is an example for each of the different functions.. Both a completely filled in foldable and a half filled in foldable (so students can include their own examples) are included.
Factor Chart
This factor chart lists all of the factors for every integer from 1 to 100. Great tool to use to help support students who have trouble with factoring.
Multitasking Challenge - Box Plot Activity
Do you students ever say that they are good multitaskers? Use this activity to show them that their typical perception of multitasking is actually an act of “task switching” and is a hindrance to learning. By using one class timer, each student will discover how long it takes them to complete two separate writing challenges. After the challenges are complete, you can use this data to have students find the five number summary in order to create and compare box plots of the challenge times. This activity can lead to a great class discussion that can encourage students to avoid distractions when they are doing school work.
Calculus Exploration: Maximizing the Volume of a Box
This exploration is an investigative activity that allows students to explore the relationship between the dimensions and volume of a rectangular prism. This is a great introduction to optimization problems in the calculus classroom.