Hello teachers friends! My name is Niki.I have been teaching mathematics for over 20 years. My subjects are Algebra through Calculus 3 along with Geometry, Trig and Differential Equations. My passion is to create engaging fun and rigorous math resources of high quality for teachers and students. My products include partner and group activities, matching and sorting activities, multiple-choice games, rigorous worksheets & lessons, challenging independent practice, homework assignments, etc.
Hello teachers friends! My name is Niki.I have been teaching mathematics for over 20 years. My subjects are Algebra through Calculus 3 along with Geometry, Trig and Differential Equations. My passion is to create engaging fun and rigorous math resources of high quality for teachers and students. My products include partner and group activities, matching and sorting activities, multiple-choice games, rigorous worksheets & lessons, challenging independent practice, homework assignments, etc.
These are 6 practice/review tickets on indefinite integrals. Each ticket contains 9 various challenging problems. For each ticket there are included one problem or two on the following topics:
basic integration
integration using u – substitution
integration by parts
integration using suitable substitution
integration by partial fractions decomposition
There are included rational, radical, exponential, logarithmic, trigonometric and inverse trigonometric functions.
The product can be possibly used as an independent practice/quizzes 6 different forms, as a group activity (groups of 2 to 6 members), homework assignment or assessment.
Recording sheet is provided. Answer keys are included.
In this 16 questions - partner activity, students apply L’Hospital’s Rule to evaluate limits. There are included the following indeterminate forms - 0/0, infinity / infinity, infinity minus infinity, zero ⨯ infinity, zero^zero, infinity^zero and 1^infinity. The functions included are polynomial, exponential, logarithmic, trig and inverse trig functions.
Each partner has his own set of 8 problems. Partners will use L’Hospital’s Rule to evaluate their first two limits directly. They will need to manipulate to make zero/zero or infinity/infinity and then to apply L’Hospital’s Rule to evaluate the next six limits.
► THE FORM of the limit and THE ANSWER of each of Partner’s A problems are THE SAME as the form of the limit and the answer of each Partner’s B corresponding problem.
(Problems A1 and B1 are corresponding, so as problems A2 and B2 and so on).
Students are instructed to show all work and check whether their results match.
Full solutions are provided.
These are 15 Algebra 1 warm-ups, do-nows, bell-ringers, entrance/exit tickets or mini-quizzes/mini homework on operations with polynomials and factoring polynomials. Each of them is a half-sheet in size and contains from 5 to 12 problems.
Topics included:
Combining Like Terms
Distributive Property
Adding and Subtracting Polynomials
Multiplying a Polynomial by a Monomial
Multiplying Binomials (FOIL Method)
Multiplying Polynomials
Dividing a Polynomial by a Monomial
Dividing Polynomials (No Remainders)
Factoring Out the GCF
10. Factoring Difference of Squares
11. Factoring Perfect Square Trinomials
12. Factoring Quadratic Trinomial
13. Factoring Sum and Difference of Cubes
14. Factoring by Grouping
15. Factoring by Combined Methods
Answer keys are included.
This is an engaging and collaborative partner activity for analyzing and sketching graphs of polynomial and rational functions using calculus. Students will use limits, first and second derivatives to provide information about function behavior and then sketch the graph of the function.
Activity Directions: Students are given five sections to work through. In each section partners are given two functions of the same type to identify their features (intercepts, asymptotes, intervals of increase and decrease, local maximum and minimum points, intervals of concave up and concave down, inflection points). After finding all the important parameters students are asked to draw a graph of the function.
▸The functions of a section differ only by coefficients so partners obtain similar results and graphs with the same shape.
Students are provided recording/response sheets with a number of steps of the general algorithm for investigation of functions, rooms to record their results and coordinates grids where each axis labeled using an appropriate scale as dictated by the problem so sketching to become easier.
This product can be also used as a group activity, for collaborative learning, for enrichment and extra practice, as independent practice and homework assignment.
Detailed typed answer keys are included. All the graphs are drawn as well.
BONUS: I have included 4 additional sections for extra practice or enrichment.
(These are without answer keys.)
These are 6 Christmas themed task or station cards grouped with 10 to 15 similar problems per card. There are a total of 81 carefully chosen problems concerning the following applications of the derivatives:
❄finding critical points (Card A - 15 problems)
❄ determining intervals of increasing and decreasing (Card B - 15 problems)
❄ finding local extrema (Card C - 15 problems)
❄ finding absolute extrema on the specified intervals (Card D - 10 problems)
❄ finding inflection points (Card E - 14 problems)
❄ determining intervals of concavity (Card F - 12 problems)
The functions included are rational, radical, trigonometric, inverse trigonometric, exponential, and logarithmic (common and composite functions).
The cards can be used individually or with groups. Student recording sheets are included.
Detailed answer keys/solutions (handwritten clearly) are included.
This is an activities mini bundle on solving linear systems with three variables. There are included a matching game “Catch the Magic Fish”, a zoology activity “What Kind of Penguin is This?” and partner activity “Get the Same Answers”.
This is a complete rigorous lesson on Advanced Techniques of Integration for students enrolled in AP Calculus BC or Calculus 2.
( The resource contains 47 problems - 17 with full typed solutions and 30 with answer keys)
Lesson Objective:
Find indefinite integrals and evaluating definite integrals using integration by parts.
It includes
A. Detailed Guided Notes (5 pages) including derivation of Integration by Parts formula and 7 worked out examples with indefinite and definite integrals as
4 examples perform Integration by Parts once
3 examples including repeated Integration by Parts( twice and for third time).
The students are guided through the process of picking u, du, v, and dv.
B. 20 Classifies Practice Problems ( 10 come with full typed solutions and other 10 are similar to them for students to try their own. Students are given the answers. )
C. 12 Assignment Problems with answer keys ( 6 indefinite and 6 definite integrals ).
D. 2 versions Multiple Choice Exit Tickets /Quizzes/ Assessments ( with answer keys)
This is an activities bundle on solving rational equations. There are included “Eat the Bonbons” matching activity, a zoo animal themed task cards for partners and two mazes.
Answer keys are included.
This bundle contains 5 PDF format items printable. These are fun partner and group activities. Students will make compound words, search for common root between two equations, “throw” in a “bucket” extraneous solutions, draw and color balls and flowers on a picture while solving rational equations.
The resource covers the following topics:
Solving rational equations resulting in linear equations
Solving rational equations resulting in quadratic equations
using three types methods for solving:
Cross Multiplying
Multiplying by the LCD
Factoring to find the LCD
• The activities include monomial, binomial, and trinomial denominators.
• Extraneous solutions are included.
Answer keys are included.
This is a growing activities bundle on solving quadratic equations with complex solutions. It consists of PDF items. There are included a maze, partner drawing activity, partner activity “Make Compound Words”, password search activity and rigorous practice containing 48 problems plus homework.
Answer keys are included.
This is a bundle of Algebra 1 warm-ups/bell-ringers/exit/entrance tickets/do-nows/mini quizzes/mini homework for the entire year. Each of warm-ups is a half-sheet in size and contains from 2 to 14 problems.
So far the bundle covers the following topics:
Multi-Step Equations (Variables on Same Side)
Multi-Step Equations (Variables on Both Sides)
Multi-Step Equations (Special Case Solutions)
Absolute Value Equations
Quadratic Equations (Square Root Method)
Quadratic Equations (Solving by Factoring)
Quadratic Equations (Complete the Square)
Quadratic Equations (Quadratic Formula)
Literal Equations
Proportions (Cross Multiplication)
Writing & Solving Equations (Text Problems)
Ratios and Proportions (Text Problems)
Multi-Step Inequalities (Variables on Same Side)
Multi-Step Inequalities (Variables on Both Sides)
Multi-Step Inequalities (Special Cases)
Absolute Value Inequalities
Compound Inequalities (OR)
Compound Inequalities (AND)
Systems of Linear Equations (Solving by Graphing)
Systems of Linear Equations (Solving by Substitution)
Systems of Linear Equations (Solving by Elimination)
Systems of Linear Equations (Text Problems)
Multi-Step Inequalities (Text Problems)
Exponent Laws (Product and Power Rules)
Exponent Laws (Quotient Rule)
Exponent Laws (Zero and Negative Exponents)
Scientific Notation and Operations with Scientific Notation
Simplifying Radicals (No Variables)
Simplifying Radicals with Variables
Adding and Subtracting Radicals
Multiplying Radicals
Dividing Radicals
Rationalizing the Denominator
Operations with Radicals
Combining Like Terms
Distributive Property
Adding and Subtracting Polynomials
Multiplying a Polynomial by a Monomial
Multiplying Binomials (FOIL Method)
Multiplying Polynomials
Dividing a Polynomial by a Monomial
Dividing Polynomials (No Remainders)
Factoring Out the GCF
Factoring Difference of Squares
Factoring Sum and Difference of Cubes
Factoring Perfect Square Trinomials
Factoring Quadratic Trinomial
Factoring by Grouping
Factoring by Combined Methods
Slope of a Line from 2 Points
Slope of a Line from a Graph
Slope of a Line from a Table
Slope of a Line from an Equation
Graphing Lines in Slope-Intercept and Standard Forms
Writing Equations of Lines from Graphs
Writing Equations of Lines from 2 Points
Writing Equation of a Line Given the Slope and a Point
Writing Equation of a Line from a Table of Values
Equations of Parallel and Perpendicular Lines
X- and Y- Intercepts
Linear Function Applications
Inverse Linear Equations
Piecewise Linear Functions
Graphing Absolute Value Functions
Equations of Proportional and Non-Proportional Relationships
Answer keys are included.
This is a growing activities bundle on systems with linear equations in two variables. It consists of PDF items. There are included partner activities, group activity, group match and sort activity, sorting activity, a maze, triple activity, Thanksgiving (turkey themed cards) practice and Christmas activity "Get the Same Answer, rigorous practice, quiz or assessment,etc.
Answer keys are included.
Students will enjoy while exploring the characteristics of quadratic functions (domain, range, vertex, axes of symmetry, x- and y- intercepts), converting quadratic functions in standard form to vertex form and graphing quadratic functions with the activities of this growing bundle. The bundle contains PDF items. There are included partner activities, multiple-choice game, card sort, “true” or “false” activity, a maze, rigorous practice with 86 problems classified into types, practice forms A & B.
All the answer keys are included.
This is an activities bundle on logarithms (evaluating logarithms and applying the properties of logarithms - condensing, expanding) and natural logarithms as well. It consists of PDF format items. There are included partner and group activities, a maze, a multiple-choice game, review practice, practice sheets containing 49 problems.
Answer keys are included.
This is an activities bundle on solving radical equations (one and two radicals, extraneous solutions and no solutions included, radical equations with higher indexes included as well). It consists of PDF format items printable. There are included partner and group activities, matching cards, “Make Compound Words” - matching partner activity, a maze, multiple - choice activity “True Math Story”, “Related Answers” activity, 12 riddles guessing activity, etc.
Answer keys are included. (There is one freebie product included).
This is a growing activities bundle on graphing polynomials, finding the real and complex zeros of polynomials and solving polynomial equations in factored and standard forms. The bundle consists of PDF format items. There are included partner activities, matching game, practice tickets, a maze, 12 riddles guessing activity, rigorous practice of problems classified into types.
Answer keys are included.
This is an activities bundle on the chain rule. It consists of PDF items. There are included “Mathematician Search” activity, “You try” activity, two partner activities, kitten themed task cards, “Fill in the Missing” activity, a multiple-choice game and two practice sheets.
Answer keys are provided. There are three products with included full solutions.
This is a growing activities bundle on properties of exponents (positive, negative, zero, rational). The bundle consists of PDF items. There are included a matching activity “What Breed is my Favorite Dog or Cat?”, multiple-choice game, a maze, challenging aliens themed practice, finding an aphorism activity, Christmas activities, rigorous practice (121 practice problems into 17 sections), review practice (5 types of problems), etc.
This is a bundle of Algebra 2/Pre Calculus warm-ups/bell-ringers/exit/entrance tickets/do-nows/mini quizzes/mini homework for the entire year. Each of warm-ups is a half-sheet in size and contains from 2 to 10 problems.
So far the bundle covers the following topics:
Polynomial Equations with Real Roots
Dividing Polynomials with Long Division
Evaluating Polynomials Using Horner’s Rule
Factoring Polynomials (Using Horner’s Rule and Finding the Zeros)
Forming Polynomials Given the Roots
Polynomial Equations with Complex Roots
Polynomial Equations in Factored Form
Polynomial Inequalities in Factored Form
Polynomial Inequalities in Standard Form
Partial Fraction Decomposition
Axis and Vertex of a Quadratic Function
Vertex Form of a Quadratic Function
Domain and Range of a Quadratic Function
X- and Y- Intercepts of a Quadratic Function
Monotonicity Intervals of a Quadratic Function
Maximum and Minimum Values of Quadratic Functions
Nonlinear Systems (Linear-Quadratic)
Nonlinear Systems (Quadratic-Quadratic)
Solving Nonlinear Systems Graphically
Graphing Quadratic Inequalities in Two Variables
Solving Quadratic Inequalities in One Variable Algebraically
Graphing Systems of Quadratic Inequalities in Two Variables
Solving Systems of Quadratic Inequalities in One Variable Algebraically
24.Radical Functions (Domain, Range and Zeros)
Radical Functions (X- and Y- Intercepts and Inverse Functions)
Graphing Radical Functions
Radical Equations with One Radical
Radical Equations with Two Radicals
Solving Radical Equations Using a Substitution (Advanced Topic)
Radical Operations with Higher Indexes
Simplifying Nth Root with Variables
Cube Root Equations
Radical Equations with Higher Indexes
Rational Exponents
Equations with Rational Exponents
Domain and Range of Rational Functions
Holes of Rational Functions
X- and Y-Intercepts of Rational Functions
Asymptotes of Rational Functions
Graphs of Rational Functions (two warm-ups)
Simplifying Rational Expressions
Adding and Subtracting Rational Expressions
Multiplying and Dividing Rational Expressions
Operations with Rational Expressions
Complex Fractions
Rational Equations (Solving by Using Cross Multiplication)
Rational Equations
Rational Inequalities
Absolute Value of a Complex Number
Adding and Subtracting Complex Numbers
Multiplying Complex Numbers
Dividing Complex Numbers
Operations with Complex Numbers (Mixed)
Quadratic Equations with Complex Roots (Square Root Method)
Quadratic Equations with Complex Roots in Vertex Form
Quadratic Equations with Complex Roots (Quadratic Formula)
Determinant of a Matrix
Adding and Subtracting Matrices, Multiplying a Matrix by a Number
Multiplying Matrices
Operations with Matrices (Mixed)
Inverse Matrices
Matrix Equations
Systems of Linear Equations with 3 Variables
Evaluating Trigonometric Expressions with a Variable
Evaluating Trig Expressions (No Variables)
Exact Values of Trig Functions of an Acute Angle
Simplifying Trig Expressions
Verifying Trig Identities
Simplifying and Evaluating Trig Expressions Using the Exact Value of a Trig Function
Converting Between Radians and Degrees
Equation of a Circle
Operations with Functions
Composition on Functions
Graphs of Piecewise Functions
Evaluating Piecewise Functions
Pascal’s Triangle and the Binomial Theorem
Graphs of Exponential Equations of type f(x)=a.b^x
Inverse Functions
Evaluating Logarithms
Evaluating Logarithmic Expressions (Inverse Properties of Logarithms)
Adding and Subtracting Logarithms
Multiplication of Logarithms
Change of Base Formula
Condensing Logarithms
Expanding Logarithms
Comparing Logarithms
Domain of a Logarithmic Function
Graph and Key Features of a Logarithmic Function
Logarithmic Equations of type log(base a)f(x)=b
Logarithmic Equations of Type log(base a)(f(x)=log(base a)(g(x)
Logarithmic Equations of Type log(base a)f(x)±log(base a)g(x)=b
Logarithmic Inequalities
Answer keys are included.
This is a growing activities bundle on solving polynomial and rational inequalities. It consists of PDF items. There are included partner (matching cut & paste) activity, group activity, practice problems classified into types and challenging (advanced) practice.
Answer keys are included.