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 collaborative and fun partner activity on finding the vertex of a quadratic function. Students will work in pairs through 12 sections (or less ). In each section, a partner is given a quadratic function in standard form to determine its vertex. Partners compare their results to see whether in each section they have obtained one and the same answer.
The practice worksheets give room for students to show their work.
Answer keys are included.
This trigonometry practice consists of 12 problems (12 given diagrams) in which students will practice finding missing side and angle measures in right triangles using the sine, cosine, and tangent ratios. The problems are divided into four groups of three (four cases). In the first group of problems students need to find the opposite side in the right triangle. The second group of problems is finding the adjacent side. The third case is finding the hypotenuse. And the four case is finding the measure of a missing angle.
Practice sheets give enough room for students to show work.
Answer keys are included.
Students will use the power, quotient and power rules of exponents to find the value of each of 10 exponential expressions. The problems are challenging and include negative bases of the exponents. Students search for their answers consecutively in a table whose cells contain a numbers and a word to find an aphorism.
Student recording sheet and answer keys are included.
This activity is designed to be used for groups of 4 members!
It practices solving quadratic equations by factoring. The most of the equations have one or two terms on the right side and need to be reduced in their standard form. The leading coefficient is 1. Solutions are only integers.
Activity Directions: Partners will each have their own set of 8 quadratic equations. They start solving and write down the solutions of the problems on the recording sheet provided. Then students look for the answers they have found on the “skittles board” – set of “pairs of skittles” given with numbers on them. They will find that all their solution sets are written on these pairs. Each player must cross out or mark the pairs of skittles which represent the solution sets of his equations. The group which has solved all the equations correctly and has “knocked down all the skittles” first, wins.
Answer keys are included.
These are three versions (three levels) independent practice on factoring polynomials by determining the greatest common factor. Versions A and B contain 15 problems each and version C has 10 more challenging examples.
The product can be used as an extra practice, enrichment or homework assignment. It can be also used as a group activity - competition between groups of 2 or 3 as the members of the group will chose who which version to solve.
The practice sheets give enough room for students to show work.
Answer keys are included.
This coloring activity provides students with 12 problems. Students will solve proportions to find the value of the variable x. After solving a problem, the students find their answer in a table. This tells them what color to use in the coloring page. Students are asked to show work on a recording sheet provided.
Answer key is included.
This coloring activity provides students with 12 problems on percents (finding the whole, the part and percent). After solving a problem, the students find their answer in a table. This tells them what color to use in the coloring page. Students are asked to show work on a recording sheet provided.
Answer key is included.
This is a fun self-checking circuit activity on solving nonlinear systems of equations. There is provided space for students to show work on the pages.
Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point.
Answer keys are included.
This is a self-checking circuit activity on adding and subtracting rational expressions. There is provided space for students to show work on the pages.
Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the 11 problems before returning to the start point.
Answer keys are included.
This is a self-checking circuit activity on dividing polynomials using long division (polynomials from 2nd to 7th degree are included). There is provided space for students to show work on the pages.
Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point.
Answer keys are included.
This is an engaging guiding practice on combining like terms & distributive property. It is easy to follow, consisting of 4 parts, 10 worked out examples and 6 tasks for students to do. First part is presenting the term like terms as students fulfill two tasks. Second is presenting the operation combining like terms, students are shown how to perform this operation in four worked out examples and then they are given four problems to solve. Third is simplifying algebraic expressions using combining like terms. Here students have two examples to follow so to solve four problems. And the fourth part is the distributive property and combining like terms. Students learn that when they have an expression with parentheses like a(b+c) they first need to apply the distributive property and then to combine the like terms. It is demonstrated with 3 worked out examples. Finally students are given to simplify 7 algebraic expressions as the last two need to be evaluated for given values of the variables.
Answer keys are included.
This is a vegetables themed maze on solving rational equations (equations with extraneous solutions included). Students start solving and use each answer to navigate through the maze. Students will need to solve 15 problems properly to complete the maze. Students can draw a line to display their answer path. It would be nice if students show work on this activity.
Answer keys are included.
NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.
This is an engaging practice on multiplying binomials. There are 4 pages/slides/4 levels each containing 3 problems. Students have to find the indicated products. Students are provided with empty text boxes where they can record their solutions and answers. There is given a hint for each problem - it is the sum of the coefficients of the polynomial that students have obtained.
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!
These are 12 challenging practice problems on limits at infinity. Functions included are only exponential, natural logarithms and inverse tangents.
The product can be used as independent practice, extra practice, enrichment and homework assignment.
The practice sheets have enough room for students to show work.
Answer keys are included.
This is the second part of my worksheets on Computing Limits. The resource contains total of 16 finite limits. Students will apply the properties of limits and evaluate limits algebraically by substitution, factoring and conjugate methods. The packet has 2 worksheets:
⟐ The first worksheet is solving 8 limits of functions involving radicals (square, cube and fourth roots).
⟐ The second worksheet is solving 8 limits involving functions containing both polynomials and trig expressions or radicals and trig expressions. These problems are more complicated and require using a combination of methods.
The worksheets can be used as extra practice, for enrichment, an assessment or homework. It can be also used as a 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.
⟡ Partner A will solve the first four problems of WS # 1 while Partner B solves the rest four problems of the same WS. Then they swap papers and Partner A will compute the last four limits of WS # 1, while Partner B solves the first four problems of 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. Partners continue working in the same way with WS # 2…
All answer keys are included.
This is an engaging and challenging practice on systems of linear equations in two variables. It consists of 8 various problems, 5 of them are multiple-choice questions and the other 3 are open- ended questions. You can see all the problems in the preview. Students are provided with empty boxes where to record their answers.
The product can be used as an independent and extra practice, as a quiz or as an assessment and as a homework assignment.
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 engaging practice on zero and negative exponents. Students are provided with 2 pages/slides with a total of 12 problems. On the first slide/page there are given 6 expressions. Students are asked to evaluate the expressions and type their answers in a table. On the second slide/page students have to simplify 6 expressions with variables and to write the results using only positive exponents. Students record their answers in another table.
The product can be used as an independent and extra practice, enrichment, homework assignment.
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 two slides on a page for easy and more economic printing!
This is a Christmas themed practice on applying exponent rules to simplify expressions. Students are given 2 problems(expressions A & B) per slide (the slides with problems are 5) and are asked to simplify each expression and then to evaluate it for the given values of the variables. The first problem A requires applying the power and product rules of exponents and the second problem B requires using the power, product and quotient rules of exponents. Both problems A and B require raising a product to a power (excluding example 1A). There is one example requiring raising a quotient to a power. Students are provided with empty boxes where to record their answers.
*There are included examples only with positive exponent indicators.
This product can be used as an independent practice, extra practice and homework for Christmas.
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!
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 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.