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.
This activity practices finding 16 derivatives using the chain rule. Composite functions include polynomials, rational fractions, radicals, trig and inverse trig expressions, exponential expressions and natural logarithmic functions.
Students have to solve 8 complicated problems - examples of 8 functions where each function is expressed as the sum of two composite functions. Students will need to use linear combination rule to find the derivatives of these 8 functions. Thus, they will solve coupled problems consisting of two sub – problems (practice 2 in 1) in three steps.
This can be used as a class practice/independent practice in 2 steps or as a partner activity (Partner A will find the derivative of one addend of the function while Partner B computes the derivative of the other addend, then partners will sum their derivatives to find the answer of the problem). These worksheets can be also used for enrichment or homework.
Typed solutions to problems are provided.
This is a challenging activity created for students to improve their calculus skills with more complicated examples on differentiation using the chain rule. The functions in this activity include polynomials, rational fractions, radicals, trig and inverse trig expressions, exponential expressions and natural logarithmic functions.
Students have to differentiate 8 composite functions and show all their work. They аrе given the answer to each problem with missing coefficients. Students are asked to find these coefficients and fill in the corresponding empty squares for the answer.
This resource can be used for class work, independent practice or partner activity, for enrichment and homework assignment.
Full typed solutions to the problems are provided.
This activity practices finding derivatives (a total of 12 various examples) using the chain rule. Functions include polynomials, radicals, trig and inverse trig functions, exponential functions and natural logarithms.
Activity Directions: Students have to compute 12 derivatives. They are asked to use a table given to find the mathematician’s name corresponding to each of their answers. (To facilitate students all the answers correct and incorrect are labeled with big Latin letters and are contained in another table.) If students find all the derivatives correctly, they will learn 12 names of mathematicians involved in calculus.
This activity can be used as a class practice. (Students could compete to see who can get all or most names first). It can be also used for groups of 2 (each partner will solve 6 problems) or independent activity.
Solutions (handwritten clearly) to the problems are provided.
This resource contains total of 20 problems. Students will practice differentiation using the chain rule. The composite functions include polynomials, rational, radicals, trig and inverse trig, exponential and logarithmic expressions.
The packet has 2 worksheets of 10 derivative problems. The worksheets can be possibly used as two different forms for partner activity like that:
⟡ Partner A will solve WS # 1 while Partner B solves WS # 2, then they swap papers and Partner A will solve WS # 2 while Partner B solves WS # 1. Once they have completed the work, they compare their results. If there are different answers to one and the same problem, students have to identify and correct any errors.
The worksheets can be also used for an extra practice or enrichment, an assessment or homework assignment.
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This resource contains total of 50 problems. Students will practice differentiation using the basic properties of derivatives and the power rule only.
The packet has 6 worksheets:
⟐ The first and second worksheets WS # 1A and WS # 1B are similar. Students will have to find the first derivatives of 10 various functions ( polynomial, rational and radical). These are designed to be possibly used as a partner activity.
⟐ The third worksheet is finding the first derivatives of 10 functions as some of the examples are a bit more complicated and challenging than WS # 1A and WS #1B problems.
⟐ The fourth worksheet is finding the second derivatives of 8 various functions ( polynomial, rational and radical).
⟐ The fifth worksheet has the students finding the equation of the tangent line for 6 given functions at indicated points.
⟐ The sixth worksheet asks the students to determine the intervals on which 6 given functions are increasing and decreasing.
The worksheets can be used as class practice, for an extra practice or enrichment, an assessment or homework assignment. It can be used as a partner activity – for instance:
⟡ Partner A will solve WS # 1A while Partner B solves WS # 1B, then they swap papers and Partner A will solve WS # 1B while Partner B solves WS # 1A. Once they have completed the work, they compare their results. If there are different answers to one and the same problem, students have to identify and correct any errors.
Answer keys are NOT included!
This resource contains total of 32 problems. Students will practice differentiation of common functions using the product and quotient rules ( they don’t need to apply the chain rule).
The packet has 3 worksheets:
⟐ The first worksheet has the students finding the first derivatives of 16 functions using the differentiation formulas and product rule.
⟐ The second worksheet is finding the first derivatives of 10 functions using using the differentiation formulas and quotient rule.
⟐ The third worksheet is finding the first derivatives of 6 functions using the combination of the product and quotient rules. It contains more complicated problems. These six challenging problems are suitable for advanced calculus students.
The worksheets can be used as class practice, for an extra practice or enrichment, an assessment or homework assignment. It can be also used as a partner activity like this:
⟡ Partner A will solve WS #1 while Partner B solves WS #2, then they swap papers and Partner A will solve WS #2 while Partner B solves WS #1. Once they have completed the work, they compare their results. If there are different answers to one and the same problem, students have to identify and correct any errors. Then partners solve the problems of WS#3 collaborating or each partner may solve half of the WS #3 problems.
This is a fish species themed maze on square root and cube root. Each problem is evaluating the sum or difference of square root and cube root (√a±∛b). Students start solving and use each answer to navigate through the maze. Students will need to solve 13 problems properly to complete the maze. Students can draw a line to display their answer path. They can also show their calculations writing in a table provided.
Answer key is included.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.
This is an astronauts and aliens themed maze on simplifying cube roots with variables. Students start solving and use each answer to navigate through the maze. Students will need to solve 13 problem properly to complete the maze. Students can draw a line to display their answer path.
Answer key is included.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.
This is a rodents themed maze on solving equations using cube root. Students start solving and use each answer to navigate through the maze. Students will need to solve 13 equations properly to complete the maze. Students can draw a line to display their answer path. Students can show their work writing in a table provided.
Answer key is included.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.
This is an American birds themed maze on simplifying radicals with variables. Students start solving and use each answer to navigate through the maze. Students will need to solve 12 problems properly to complete the maze. Students can draw a line to display their answer path.
Answer key is included.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.
This is a clown themed maze on rationalizing the denominator problems level 1 (there is no sum or difference in the denominator!). Students start solving and use each answer to navigate through the maze. Students will need to solve 13 problems properly to complete the maze. Students can draw a line to display their answer path.
Answer keys are included.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.
These are 10 task cards on solving word problems with cube root. There are one or two problems per card (a total of 15 problems, some of them are challenging). Students need to know the elements of cube, formulas for surface area and volume of a cube, sphere, cone, cylinder and right rectangular prism, geometric progression. Students will draw diagrams that model the problems and write and solve equations involving cube root. There is provided a page/slide with a table where students can record their answers.
Answer key is included.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has three slides on a page for easy and more economic printing!
This is an activity called “Inquisitive Animals” on cube root. There are five pages/slides as on each three animals ask three questions on cube root. Students can answer each question writing on the worksheet/slide below the question. The questions concern exact and approximate value of cube root, comparing cube roots and integers/whole numbers, cube root equations, volume of cube and sphere. This activity is student friendly and more fun alternative of task cards.
Answer key is included.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has two or three slides on a page for easy and more economic printing!
This is a guiding practice on dividing radicals applying rationalizing the denominator. On each page/slide students are given an worked out example and similar problem(s) to solve by their own. Students are provided with empty boxes where to write so to show their answers. The worked out examples increase in difficulty and are six. The problems that students have to solve are nine.
This resource can be used as a lesson on rationalizing the denominator or after a lesson on rationalizing.
Answer keys are included.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has three slides on a page for easy and more economic printing!
This is an engaging activity on approximating square roots. It consists of two parts/slides. On the first page/slide (Part 1 of this activity) students are given 16 double inequalities like a< empty<b where a and b are decimals (positive and negative). Students are also given 18 square roots (numbers) in a table. They are asked to fill in the gaps in the double inequalities so the inequalities to become true statements. On the second page/slide (Part 2 of this activity) students are given 20 radical expressions in a table to estimate rounding to nearest tenth. They are asked to record their approximations in the empty cells of the given table. The expressions are of the types a√b, a±b√c and (a±b√c)/d where a,b,c and d are integers.
Answer keys are included.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has two slides on a page for easy and more economic printing!
This is an engaging frogs themed activity or 4 task cards/slides (5-9 problems per card/slide) on dividing radicals (square roots only). The pages/slides with problems are four (a total of 25 problems). On the first page/slide students are given 9 problems of the type (a√b)/(c√d), on the second page/slide students have to divide and simplify 6 radical expressions with two to three variables. On the third page/slide students are given 5 problems of the type (a√b±c√d)/m√n and on the fourth page/slide students have to simplify 5 radical expressions of the type like in page/slide three, but with variables (a,b,c,d,m and n are natural numbers). On the last page/slide students are given a table where the cells are labeled with the numbers of the problems like 1A,1B…,2A…3A…4A, 4B,…etc. Students are asked to record their answers in the table. (Problems 2D, 4B, 4C and 4D require rationalizing the denominator).
This activity can be completed individually or students can work in pairs.
The answer key is contained at the end of this document.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has two slides on a page for easy and more economic printing!
This is an activities bundle on radicals (simplifying, adding, subtracting, multiplying, dividing, rationalizing the denominator, mixed operations). It contains PDF items. There are included partner activities, matching activities, multiple-choice games, funny themed task cards, mazes, rigorous practice. The bundle covers the following topics:
Approximating Square Roots
Simplifying Radicals without and with variables
Simplifying Radicals with Imaginary Numbers
Adding and Subtracting Radicals
Multiplying and Dividing Radicals; Rationalizing the Denominator
Cube Root
Simplifying n-th roots with Variables
Mixed Operations with Radicals
Simplifying n-th roots with Variables
Radical Operations with Higher Indexes
Answer keys are included.
This is a fun multiple-choice activity on rationalizing the denominator involving the Greek mythology. There are 10 problem pages/slides as each page/slide contains one problem. Students rationalize the denominator and use their answer to find out which Greek God is on the given picture of the slide. The answer choices are four as a name of a Greek God or Hero corresponds to each answer choice.
Answer keys include short information for the Greek Gods which are corresponding to the correct answers.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has two or three slides on a page for easy and more economic printing!
This is a fun multiple-choice game on simplifying nth root expressions with variables. On each page/slide students are given an expression to simplify, four answer choices, a picture of a prehistoric animal and there is a name of a prehistoric animal corresponding to each answer choice. Students solve the problem and use their answer to find out what is the name of the prehistoric animal on the picture. The pages/slides are 10 as there are included problems with 3th, 4th, 5th, 6th, 7th, 8th, 9th and 10th root. Students have to use absolute value when necessary.
Answer key is included.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has two or three slides on a page for easy and more economic printing!
This is a matching activity on radical operations with higher indexes (3th, 4th, 5th, 6th, 7th, 8th, 10th and 12th root). The problems are 26 grouped in 3 pages/slides and labeled with celebrate alphabet letters. On the first page/slide students are given 9 problems, students have to find the sum or difference of two radical terms having the same indexes. On the next page/slide (another 9 problems) students have to find the product or quotient of two radical terms with different indexes. And on the last third page/slide students have to simplify 8 radical expressions. Students have to perform more than one operations with the radicals (using distributive property, formulas for square of a sum and square of a difference, product of a sum and difference of the same radical terms). After solving the problems students search for their answers in a table given. They record the letter of each problem in the empty box where is the answer of the problem (matching each problem with its answer).
This activity can be completed individually or students can work in groups of 2 or 3.
The answer keys are contained at the end of this document.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has three slides on a page for easy and more economic printing!