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 product is designed to be used for groups of 2, 3 and/or 4 members. The activity practices solving simple exponential equations with different bases without using square roots and logarithms. All the equations are of type “Exponential function = Counting Number ” and the base of the exponential function is a counting number too. All the equations result in linear.
Activity Directions: Partners will each have their own set of 12 exponential equations. They start solving and write down the solutions of the problems on the recording sheet provided or on a separate sheet of paper. Then students look for the numbers they have found on the “keyholes board” - a set of keyholes given with numbers on them. They find some of their answers written on the keyholes, so that way they get the correct keys to “unlock” them. Partners mark the “unlocked keyholes” on the board. They record which are the “unlocked keyholes” and count them. Partners show the teacher their results. The group which is ready first and who has worked correctly wins.
All answer keys are included.
Here is the link for Level 2 of this activity:
https://www.tes.com/teaching-resource/resource-12627193
This activity practices solving quadratic equations.The half of the equations are in standard form and set to zero and the other half have one term on the right side of the equation. There are also included incomplete quadratic equations. Solutions are only rational numbers.
Activity Directions: Partners will each have their own set of 8 quadratic equations. They solve the first four of them by factoring and the rest – by the most appropriate method they choose. Then they search for the numbers they have found on the “balloons board” - a set of balloons given with numbers and words on them. When students find their answers written on some of the balloons, they “burst” (strike-through) them. The words written on these balloons will be eliminated too. Partners continue solving still that way and at last they will have some balloons “survived” inseparably with the words on them. They can arrange all these words remained to make a proverb.
All answer keys are included.
I hope your students enjoy “eliminating balloons” and searching for wisdom sayings.
This is a multiple-choice activity on solving linear equations in one variable. The resource is great for advanced practice containing 8 challenging equations. The problem slides are four as on each slide students are provided with 2 equations. Choosing which between four optional answers is correct, students will find out and learn to which constellation between four a red/blue giant star given its name belongs, to which constellation between four a white/red dwarf star given its name belongs, which between four planets is an ice giant, which between four planets is a gas giant, which of four constellations is the largest and which between four asteroids is largest by diameter. Thus this activity stimulates students interests in both algebra and astronomy. Students circle the letters of the chosen answers.
Answer key is included.
NOTE: I created this product in Google Slides. I uploaded it here in PDF format as 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 an engaging and self-checking St. Patrick’s Day themed activity on one, two and multi-step equations. On each slide students are given three equations- one one-step, one two step and one multi-step equations. Students have to solve the first equation for x, the second- for y and the third-for z. (The first equation solved gives 1 point, the second- 2 points and the third equation gives 4 points). Then students can check whether their work is all done correctly using the given hint - an equation that is a relation between the three variables x, y and z. Students have only to substitute in this relation the values of x, y and z that they have obtained and perform the indicated operations. The hint provides students an idea of an equation containing more than one variable. Students can show work typing in the empty boxes in each slide. The slides with problems are 6.
Students can complete this activity independently or working in groups of three. The activity may also turn to competition between groups ( the group that has gained most points wins).
Answer key is contained at the end of this document.
Have a Happy St.Patrick’s Day!
NOTE: I created this product in Google Slides. I uploaded it here in PDF format as 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!
Students will determine coefficients of monomials, identify opposite and like terms and simplify expressions/polynomials eliminating opposite terms and combining like terms with this mouse themed practice. On the first page/slide students are given eight monomials, students have to determine the coefficient of each monomial and record their answers in the empty boxes provided. On the second page/slide students have to identify all the pairs of like terms and mark each pair of like terms with the same color. On the third page/slide students have to identify the opposite terms in six expressions and eliminate them using movable pieces provided. On the fourth page/slide students have to simplify seven expressions by eliminating the opposite terms and combining the like terms (movable pieces provided). They can record their answers in the table provided on the next fifth slide/page.
Answer keys are included.
NOTE: This product is created with Google Slides. I have uploaded it in PDF format here.
This coloring activity provides students with 12 problems. Students will solve one-step equations. 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.
These are 4 pages of notes, worked out examples and practice problems on factoring special products of polynomials. The first 2 pages are on factoring perfect square trinomials and the last 2 pages - on factoring a difference of perfect squares. First, it is given a definition of pefect square trinomial/ difference of perfect squares. There are given examples that illustrate the definition. Students are encouraged to give their own examples. Then the steps how to factor a perfect square trinomial/difference of two squares are given followed by three worked out examples. Students have another three very similar problems to the worked out to solve them by their own. There are another 4 problems for students to practice the concept. At the end a mixed practice of 5 mixed problems is provided. Students have enough space to show work on the worksheets.
This is an engaging teacher themed practice on evaluating trigonometric expressions of an acute angle. It consists of three problem pages/slides as each page/slide contains four problems. On page/slide 1 and 2 students have to evaluate eight trig expressions for the given value of the angle theta. One of the purposes of these problems is for students to learn the values of trig functions for 30, 45 and 60 degrees. Students will handle these 8 problems if they have good skills in simplifying radical expressions. On page/slide 3 students have to evaluate four expressions using the information given for each of them. Here students are expected to apply algebraic manipulations like squaring the both sides of the given equation and using the fundamental Pythagorean identity and dividing by sin(theta) or cos(theta) the numerator and denominator of the given fractional expression, etc.
Students can record their answers on the pages/slides in the empty boxes provided.
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 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.
These are two similar forms of engaging practice on polynomial identities – square of sum. Each form contains 7 problems. Students are asked to expand and simplify 6 expressions. The questions are of varying difficulty, ranging from simple to complex. Student will be required to apply their knowledge of multiplying monomial by binomial and subtracting polynomials. The seventh problem is evaluating the value of an expression with two variables given the values of the variables.
The practice sheets have enough room for students to show work.
The product can be used as independent/extra practice, enrichment, assessment and homework.
Answer keys are included.
Students will convert decimals to fractions and fractions to decimals with this duck themed fun practice. Each slide/page contains 15 problems. On the first and second slides/pages students are given decimals to convert them to fractions and on the third and fourth slide/pages students have to convert the fractions given to decimals. There are empty boxes provided for students to record their answers on the sheets.
They can work independently or 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!
In this 12 questions - partner activity, students will solve systems of linear equations with three variables. The problems are adaptable to all methods ( elimination, substitution, Gaussian elimination, Cramer’s Rule) so the teacher or students can choose the methods they will use. All systems have one and only one solution ( All systems are consistent and their equations are independent)!
The answer of each of Partner’s A problems are the same as 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 check whether their results match. If their answers don’t match, they work together to figure out what went wrong.
Student recording sheets and answer keys are provided.
This activity practices converting between polar and rectangular coordinates. Students will work on 12 problems. The first six problems are converting given rectangular coordinates into polar coordinates. The next six problems are converting points in polar coordinates to rectangular form.
Students use a given table to find which character (letter, number or sign) corresponds to each of their answers and fill in another table to obtain a funny password. Students tell the password to the teacher. If it is correct, then they have solved all problems right.
The practice sheets give enough room for students to show work. Answer key is included.
This resource contains total of 16 limits. Students will apply the properties of limits and evaluate the limits algebraically by factoring and substitution methods. They will also need to use basic trig limits and identities to solve the limits of trig functions. The limits in this activity can all be found without L’Hopital’s rule.
The packet has 2 worksheets:
⟐ The first worksheet has the students solving 8 limits of rational functions.
⟐ The second worksheet is solving 8 limits of trigonometric functions.
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.
All answer keys are included.
These are two similar forms of engaging practice on polynomial identities – square of a difference. Each form contains 7 problems. Students are asked to expand and simplify 6 expressions. The questions are of varying difficulty, ranging from simple to complex. Student will be required to apply their knowledge of multiplying monomial by binomial and adding and subtracting polynomials. The seventh problem is evaluating the value of an expression with two variables given the values of the variables.
The product can be used as an extra/independent practice, for group activity (groups of two), quiz, enrichment and homework assignment.
Answer keys are included.
This is a collaborative partner activity to practice condensing and expanding logarithmic expressions using the properties of logarithms.
Partners work through 12 sections. Each section contains one logarithmic expressions to be expanded by one of the partners, then the other partner must check his partner’s work by condensing the obtained expression. In the next section, partners take turns and it goes the same way.
If extra practice is needed Partner A and Partner B can change places with each other and continue solving.
Applying both expanding and condensing logarithms help students gain a better understanding of the relationship between these operations.
Solutions are provided.
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.