Resources from Relleva

Inverse Linear Functions. BTC Activity, Lesson Warm up, Practice and Quiz! Two day lesson. Accessibility for all levels! Extension questions good for honors level. Instructions for teacher implementation of activity, what to look for in group work at VNPs, consolidation, practice, extension, warm up and quiz. Day 1 focuses on activity, discussion and how to determine the inverse linear function in slope intercept and standard form. Practice to follow. Part 2 focuses on reading inverse functi

CALCULUS BC - SEQUENCES. Bounded, Monotonic, Convergent, Divergent A start before series. Student activity to encourage recall for sequences - can be BTC or not. Options included in teacher notes. Guided notes for Boundedness and Monotonic tests. Practice with answers. Practice can be used for groups or individual work.

This bundle includes: Conceptual activity using a visual definition of the derivative - secant line to a tangent line. Practice included. BTC exploratory lesson for basic derivative rule. Includes CYU (practice) Matching derivative graph with its original function. Derivative Task Cards - 24 cards to solidify students' skills in determining a derivative. Negative and rational exponents. No trig.

ARC LENGTH FOR BC CALCULUS Download preview to see all slides Students will investigate the development of the Arc Length formula using the concepts of the Pythagorean Theorem, Riemann Sum and Mean Value Theorem. Proof included after students determine concept. Teacher notes every step of the way! 8 problems included for classwork. Set up all integrals and use the calculator to evaluate. Included is one perimeter problem and one FTC 2 problem. Answers included

INVERSE LINEAR FUNCTIONS PYRAMID PUZZLE - Algebra 1 or 2 This pyramid puzzle gives students ample opportunity to practice finding the inverse of a linear function. Great for small group work, pair practice or stations! Copy, laminate and cut out the triangles while binging your favorite show! Put them in a baggie to be able to use year after year! Included is a worksheet for students to look back on to reflect on the process. One page is scaffolded to include the steps for finding the inverse

Domain and Range Self-Checking Digital worksheet. Excel and Google versions 12 graphs to find domain. 12 graphs to find range. Same graphs Great for a warm up, station activity, Math Workshop task or homework. Google link in pdf file. Answers can be in interval notation and algebraic notation. This activity could take anywhere from 10 to 20 minutes per page. Depends on class ability. Template by Lindsay Bowden

24 Derivative Task Cards Basic Rule only. No transcendentals. Polynomials, negative exponents, rational exponents, radicals, simplify by factoring. Student worksheet included. Answers and teacher notes included. Great for review! Good for CP or Honors Calculus students who need more support. Possible uses - Laminate, cut and hang around the room Arrange into workstations Hand out 24 cards per group. Check out the BTC lesson for basic rule here.

Basic Derivative Rule - BTC lesson and CYU with answers. Students will discover the basic derivative rule using the definition of the derivative with polynomial functions. Set 1 is linear ending with general y = mx + b. Set 2 is quadratic ending with y = ax^2+bx + c. Set 3 is discovery above degree of 2 based on patterns they observed in the previous two sets. This set ends with y = ax^n. CYU contains mild, medium and spicy problems. Mild problems have minimal fractional coefficients, medi

Distance Formula BTC thin sliced lesson activity. Includes practice, applications and quick quiz. Class opener can be used as a collaborative warm-up. Finding shortest distance between locations. Thin-sliced activity has students finding horizontal and vertical distances before finding distances of oblique line segments. Problems lead students from integer coordinates to variable coordinates to formulate the distance formula through Pythagorean Theorem. 5 practice problems and 3 application p

Special Right Triangle practice 30 60 90 only. Three versions for differentiation! Version 1 meets basic standards using side relationships. Version 2 includes rationalization and multiplying radicals. Version 3 includes fractions and simplifying radicals. Can use as Cut and Paste or as a standalone worksheet where the students can cross off their answers as they go. Good for self checking homework, station work, or classwork.

This unit includes: Formative Assessment Day 1 of Algebra 1 Slope - two points, tables, graphs and appsCreating equations of lines given two points, tables, graphs and appsCreating perpendicular lines - lesson activity and practiceGraphing from Standard form without transforming into slope intercept form.Solving linear equations by clearing fractionsInterpretations of slope, and x/y interceptsLinear Unit Quiz 1

24 Task Cards - 6 sets of 4. Mild, Medium and Spicy for each set. Variables on both sides. Clearing Fractions useful. Student worksheet and answers included. Suggested use: Stations, Math Workshop Task, Whole class using mini-white boards or up at VNPs. Rigorous enough for an honors group in a Linear Equations review. You may like this resource as well! Notes and worksheet on clearing fractions. Solving Linear Equations by Clearing FractionsSolving Linear Equations by Clearing Fractions

Definition of the Derivative - Thin sliced activity for students to calculate slope of the tangent line as one point moves to a fixed point. Fixed point and movable point eventually becomes (x, f(x)) and (x + h, f(x + h)). Visual representation for secant line approaching tangent line included in activity. Numerical representation for h and slope. Activity can be done in pairs or groups. Students make conjectures. Consolidate at end. 3 problems to do in class as notes to ensure proper exe

24 Polynomial Graphs to sort. Leads to a A LOT of discussion! 2nd degree to 6th degree graphs can be sorted: by end behavior by degree by real vs. imaginary roots Let the kids have at it and see what they come up with! Knowing the basic shape before doing any algebra or operations with polynomials goes a long way. Use as a refresher for an Algebra 2 course where the students worked with an entire polynomial unit in Algebra 1.Use as an introduction to polynomials before doing any vocabulary or

Solving linear equations by clearing fractions. Warm up, lesson with guidance, student collaborative work, and practice. Variables on both sides. Answers included. Middle school students spend a lot of time combining fractions using common denominators. Here's practice on clearing fractions from your equations. Something new in a previous topic. Warm up - For students who may need some scaffolding/confidence working with fractions. Warm up is designed thin sliced with proportional reasoni

Lesson 1 Introduction to clearing fractions as a method to make some equations easier to solve. Includes a warm up, lesson, student practice and HW. Lesson 2 Extends clearing fractions to three factors. Includes a warm up, lesson student practice and HW. Solving equations including clearing fractions Task Cards. Each set of 4 task cards includes mild, medium and spicy! Answers included for everything.

Mean Value Theorem for Derivatives Class activity includes directions for every step. Students love this movement!They will be intrigued when they see the class results. Options for activity included in case classroom space is at a minimum. One notes page and two pages of practice problems with answers.

Limits at Infinity Mazes! Same 11 problems on each version - Digital and Paper Digital version for self checking! Limits include Exponential, Rational (Poly and Radical), Trigonometric, e and Ln and combinations. Can all be done by thinking about behavior of functions! Good for AP, Honors and CP Calculus. Time to complete will vary by Calculus level. Check out Limits at a point Mazes

Standard Form for a Line - Notes and Worksheet Lesson Goals: Connect standard and slope-intercept forms - same graph, different look.Graph a line from standard form using intercepts.Interpret the intercepts within context of the situation.Scaffolding built in at beginning of the lesson, slowly removed. Summary page can be used as "Notes to my Forgetful Self" Answers included. Lesson starts with an application problem and then formulates the algebra behind standard form. Standard form graphin

Perfect Day 1 activity if Calculus BC is a separate course from Calculus AB. Otherwise, this can be used as a refresher or a review of AB concepts. Problems include: Limits Point of Inflection Implicit Differentiation Integral application-Position, Velocity, Acceleration Area between Curves FTC 2 Definite Integrals Word application problems