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 is a fun activity on logarithmic equations level 1. Students are asked to solve 12 logarithmic equations of the type log with base a from (kx+n)=b, where a,b,k and n are constants. Then students search for their answers in a table with names of astronomical objects (stars, asteroids, satellites, comets) corresponding to given numbers. Finding their answers students also find the names of 12 brightest stars. Students record the number of the problem matching it with its answer in a small text box provided. I have included the answer key and two tables with extra information for the teacher to inform students (if they are interested) what object is behind each name they have met in the table with 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 an activities bundle on solving exponential and logarithmic equations. It consists of PDF format printable items. There are included partner activities “Make Compound Words”, matching activity “Lucky Clovers”, group activity two levels “Unlock the Keyholes”, multiple-choice activity “What Species is This Lizard?”, “Mathematician Search” activity, a mazes, task cards for partners, self-checking practice with hints, worksheets containing a total of 73 problems classified into types , 2 multiple-choice tests and homework, group activity “Get the Same Answer”, etc.
Answer keys are included.
This is an engaging and collaborative partner activity on solving radical equations. There are two problem pages/slides. Each page/slide consists of four sections. In each section partners are given a radical equation involving one or two parameters. Partners have to solve the equation for given value(s) of the parameter(s). Partner A will solve the equation for one value(s) of the parameter(s) and partner B will solve the same equation for another value(s) of the parameter(s). As the students obtain similar equations in each section they can help each other with methods. There are included equations with extraneous solutions.
This product can be completed individually as well. Some of the problems (for instance the problems of partner A) can be solved as classwork and the other (the problems of partner B) can be solved as homework.
Students can record their answers on the next two pages/slides in tables.
Answer key pages/slides are two and they 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 two slides on a page for easy and more economic printing!
This is an engaging and collaborative bunny themed group activity (groups of 2, 3 and/or 4) on solving radical equations. On each page/slide partners are given 4 similar equations to solve. This gives them the opportunity to work together and help each other with methods. There are included equations that result in quadratics and there are equations with extraneous solutions. The problems increase in difficulty with each next slide.
Here are the type of the equations included:
1 and 2 slides/pages) Radical = Number (the radicand is linear function)
3 and 4 slides/pages) Radical = Number (the radicand is quadratic function)
5 slide/page) Radical = Radical ( the one radicand is linear and the other radicand is quadratic function)
6 slide/page) Radical = Linear Function (the radicand is quadratic function)
7 and 8 slides/pages) Radical + or - Radical = Number (the radicands are linear functions)
This product can be also used for independent practice having 4 different forms, extra practice and homework.
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 or three slides on a page for easy and more economic printing!
This is an engaging activity on solving radical equations with higher indexes. There are 4 pages/slides with problems. There are included 2nd, 3th, 4th, 5th, 6th, 7th, 8th, 9th and 10th roots. On each page/slide students solve four given equations for the variables x, y , z and t. Students first find the variable x from the first equation, then they substitute the value of x in the second equation to find the value of the variable y. Then students use the value of y to find the value of z from the third equation and at the end students use the value of z to find the value of the variable t from the fourth equation. Students record their answers in the empty boxes provided. On each page/slide students are given a relation between the fourth variables x,y,z and t so to check if they have obtained the correct answers.
Students can work independently or in groups (of 2 or 4) to complete this activity.
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 a bunny themed maze on solving radical equations with one radical (extraneous solutions included). Students start solving and use each answer to navigate through the maze. Students will need to solve 12 equations 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 activity is designed to be used for groups of 4, 3 and/or 2 members. It practices solving radical equations with one and two square roots having no solution.
The radical equations contain:
a monomial, a binomial and a rational expression under a radical symbol
two radical expressions on one side and respectively on the both sides of the equation
All the equations require rearranging. If it is possible it requires squaring once.
Activity Directions: Partners will each have their own set of seven problems of various difficulty. They can reduce some of them to linear. Students write down the solutions of the problems on the recording sheet provided. Then partners record their answers in tables on a group response sheet and compare their results.
They must verify that all equations have no solution except one which has one real root. I called this special equation “white sheep equation” and it is the equation A7. The group which has solved correctly all the equations and has found the “different” equation first wins, however it must keep the result secret so the other groups can also reach it.
Answer keys are provided.
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 collaborative and challenging group activity to practice solving logarithmic equations. Students will apply the properties of logarithms:
• One - To - One Property • Product Rule • Quotient Rule
There are given six groups logarithmic equations of different types ( total of 24 equations). Most of the equations need to be transformed from logarithmic to exponential form. There are included equations with common and natural logarithms. Extraneous solutions are possible.
Activity Directions: Each member of a group is asked to choose one of the equations from group A to solve it. Then members are instructed to search for one and only equation of each of the other groups of logarithmic equations which has the same solution as their own initially chosen equation of group A.
A proposal strategy for a group of 4 to handle this task: each partner solves one equation of each group and then members sort the equations into groups according their solutions. Students solve equations on a separate sheet of paper and then show solutions to the equations having the same root on the recording sheets provided.
Answer keys are included.
This is a collaborative and engaging partner activity on logarithmic equations of the following types:
▸ log(base b) f(x) + log(base b) g(x) = c
▸ log(base b) f(x) - log(base b) g(x) = c
where b and c are constants and f(x) and g(x) are linear functions involving a parameter a . (Students are given the values of the parameter so they will NOT solve a parametric equation).
There are possible extraneous solutions so students have to determine the domain of the logarithmic functions for each equation.
Activity Directions: There are 10 sections as in each section partners have to solve a logarithmic equation involving the parameter a for two different given values of the parameter. This is a wonderful way for students to work on different, but similar problems and it encourages them to help each other with methods.
Student recording sheet and answer keys are provided.
This is an engaging practice on solving logarithmic equations. On each slide/page students are given 4 problems as problem A is level 1 problem of type log(base a) f(x)=b, problem B is level 2 problem of type log(base a)f(x)=log(base a)g(x), problem C is level 3 problem - students will need here to add or subtract logarithms with the same bases and use the property alogx=log(x^a), problem D is level 4 problem of type mlog^2(base a)+nlog(base a) +p=0 (logarithmic equation of quadratic type). the pages/slides with problems are 6 and there is else one page/slide with the answer keys.
The product can be used as independent practice, group activity, extra practice, enrichment, homework assignment.
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 and self-checking teachers themed practice on exponential and logarithmic equations. The problem pages/slides are eight. On each slide/page students are given one exponential equation to solve for x and one logarithmic equation to solve for y, students are also given a hint - a system with two variables as it is known that the roots of the equations satisfy this system. Students can solve the system or just substitute the values of x and y they have obtained in it to check whether their work is correct. (Each equation and system are thought to have only solution! Some logarithmic equations have extraneous solutions. Systems are linear, nonlinear, consisting of exponential and logarithmic equations and containing radical equations ). There is also a table provided where students can record their answers.
Students can work individually or in pairs to complete this activity.
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 or three slides on a page for easy and more economic printing!
These are 12 Thanksgiving task cards for partners – a total of 48 problems in which students will practice solving exponential and logarithmic equations. There are one exponential (equation A) and one logarithmic equation(equation B) on each card. The equations involve a parameter. Students are asked to solve each of the equations A and B for two given different values of the parameter. Thus, students have four problems per card – problems Aa, Ab, Ba and Bb. Students can work in pairs (partner activity) or in groups of three and four (group activity).
The equations require the use of logarithms and exponentials as inverses. Exponential equations include problems that can be solved using a common base along with problems that require logarithms (a^x=b and a^(cx +d) = b, where a=b or/and a≠b). Common base problems require combining exponents using laws of exponents. Logarithmic equations include basic logarithmic equations ( log (base a) x = b and
log (base a) (cx+d)=b ) and some problems in which students must apply the properties of logarithms (adding and subtracting logarithms).
The cards can be used individually as well. The teacher or student can choose which problems to be solved – like problems 1Aa, 2Ba, 3Ab, 4Bb, etc.
Student recording sheets and full solutions (handwritten clearly) are included.
These are flowers themed task cards on solving quadratic inequalities in one variable. On each slide/page students are given three quadratic inequalities corresponding to three cases - D(discriminant) >0, D=0 and D<0. The slides/pages with problems are 5 (a total of 15 inequalities).
This can be used as independent practice, extra practice, enrichment, homework assignment.
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 or three slides on a page for easy and more economic printing!
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.
This is an engaging Christmas themed practice on finding the slope between two points.
On each slide/page students are given two tasks. The first problem is determining the slope of the line that goes through given pair of points and the second problem is finding the value of x where there are given two points and x is a coordinate of one of the points as there is given the slope between these two points too. The slides/pages are 10 (a total of 20 problems). There are text boxes provided where students can record their solutions and answers in each slide.
This product can be used as an independent practice or as a partner activity (working in pairs).
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 or three slides on a page for easy and more economic printing!
This is an elephant themed maze on solving polynomial equations (3th and 4th degree equations with real and imaginary roots). 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 the table on the second page/slide.
Detailed answer keys are 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 resource contains 24 challenging problems on condensing logarithms. There are given 3 expressions on each task card/slide. The expressions are labeled with Native American boy/Thanksgiving themed large alphabetic letters. The problems increase in difficulty. The last 5 problems are the most difficult and require using the properties log(base 1/a) (b)= - log(base a) (b) and log (base a^n)(b)=1/n log(base a)(b) to be solved.
The product can be used as an engaging (thanksgiving) classwork or group activity (groups of 2 and 3).
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 four slides on a page for easy and more economic printing!
This is a Christmas elves themed practice on evaluating logarithmic expressions.
Students are given 6 cards/slides as each card/slide contains 4 challenging problems A, B, C and D.
Problems type A are simplifying logarithmic expressions using the property
a^log(base a) b=b and the power property of logarithms. Students are given a sum or a difference to simplify and evaluate. Problems type B are simplifying logarithmic expression using the property log(base a)a^b=b and log(base m^b)n^a=a/b log (base m) n. Students are given a sum or a difference to simplify and evaluate. Problems type C are simplifying an expression using the property log(base a)b . log (base b) c=log (base a)c. Problems type D are adding and subtracting logarithms with the same base.
Students work independently or in groups to complete the tasks.
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!