ColoradoZephyr

I use this with my Algebra 1 students to practice creating their own tables and graphing the points. The students are good at filling in tables when the x value is given to them, but having a blank table is more challenging for them. The worksheet starts with all equations in slope-intercept form, then moves to standard form (a little bit more difficult for the students to visualize and complete). The worksheet then ends with slope-intercepts equations again but with rational coefficients. I tea

This worksheet I use to have my students practice simplifying radicals. I teach 3 intervention algebra classes at our high school, so the students need a lot of practice but not too difficult of problems. To be honest, my 11th grade Algebra 2 class also benefitted from this worksheet, as it is designed to help students at all abilities (although the higher end students that can do mental math easily will go a lot quicker through this worksheet). When I teach simplifying radicals, I have students

This worksheet is designed to help students master how to multiply binomials. I use the area model now (some might call it lattice math) when teaching multiplying binomials, especially with my Intervention Algebra classes. I used to use FOIL (like everyone else), but have found this method to be a lot easier for students to grasp/master, especially lower ability students. Multiplying binomials when using FOIL can be messy and confusing for some students. It is a little abstract, and some have

This worksheet is designed to help students practice the order of operations. Many students that I see in my 9th grade Algebra 1 class come to me with limited (or mistaken) knowledge of Order of Operations. By far the biggest misconception is that they think multiplication is always before division, and addition is always before subtraction (as they take PEMDAS literally). I always have to teach that multiply/divide is the same family and you have to go left to right. Problem #1 on this workshe

This worksheet is what I start my quadratic unit with (my 9th grade algebra class). Students create tables from equations with the x values already filled in. Many students have difficulty at first plugging the numbers in the calculator to generate the y values. The main mistakes are when students put in negative numbers for x - they don't use parenthesis to square the negative number, and their table gets thrown off. Some students elect to make their tables by hand without a calculator, althoug

Here is the second day worksheet I use with exponential functions. Students practice creating tables and graphing exponential functions, and then creating exponential functions given a table. When I teach exponential functions, I actually start off with a table similar to question #21, where there is the same number all the way down. The rate of that exponential equation is 1. We then get into what happens when the rate is greater than 1, and what happens when it is less than one. This leads int

This worksheet is designed to give students practice in finding the perimeter of different compound shapes and writing the answer both in terms of Pi and as a decimal rounded to the nearest tenth. Many students have practice writing answers as a decimal (using 3.14 for Pi), but they have difficulty when asked to leave their answer in terms of Pi (something that is required of them on the SAT/ACT and other standardized tests). Leaving answers in Pi form is actually a more exact answer as you are

This worksheet is designed for students to practice finding slope using the slope formula. They have already found slope using a graph, now it's time for them to learn how to find the slope when you don't have a graph. I have made this worksheet for students to fill in the blanks easily. This drill and practice will help them in future problems when they have to find the slope between two points and the blanks are not there. By far the biggest trouble that students have is the subtraction of int

This worksheet is designed to help students learn and practice solving quadratic equations when A is not equal to 1 by a systematic, step by step method that involves factoring by grouping. In order to solve by "Busting (splitting) the B", students first need to know the basic a, b and c coefficients of a quadratic equation, and how to factor an equation by grouping. I make sure that all students are proficient at factoring quadratics when a is 1 and also can factor by grouping before I teach th

This worksheet is designed to help students learn and practice graphing linear equations from slope-intercept form and also how to write linear equations in slope-intercept form given the graph of a line. I use this with my 9th grade Algebra 1 class on day 1 of slope-intercept form. By now I have already covered slope of a line and reviewed intercepts and graphing points. This worksheet covers all the problem areas I find students have with linear equations: what to do when the Y-Intercept is ze

This worksheet has students practicing first using the distributive property to get rid of parenthesis, and then combining like terms. There are scrambled answers at the bottom for students to check their own work. I like scrambled answers as opposed to the goofy riddles/jokes because so many of the jokes can be easily googled now, and many students just look up the riddle/joke and copy down the answer. There is plenty of room for students to show work, although they can also show work on separa

This worksheet practices solving multistep equations. It includes the distributive property and combining like terms. Variable is on one side (left side). I used this with my Algebra 1 intervention class, and then went into variables on both sides of the equal side as well as multistep equations with variables on the right or the left side. There are scrambled answers at the bottom so students can check their work as they go and know that they are solving the problems correctly.

This worksheet is day 3 in my quadratics unit. After working with students on graphing quadratic equations by hand and finding the vertex, we move on to the solutions (x-intercepts) of a quadratic equation. Making sure students have a firm grasp on what a quadratic equation looks like when it is graphed, and what the solutions are, is key to long-term understanding of quadratic equations. It also leads into factoring quadratics and why we factor. By now students see how long it takes to graph a

I used this worksheet with my algebra 1 students to practice solving proportions. There are simple proportions that students see in middle school, and then more advanced proportions that need to be solved by the distributive property. The most complicated proportions have the variable twice. There are scrambled answers below for students to check their work. This worksheet is a great way for students to both practice proportions as well as solve two step and multistep equations, sometimes with

This worksheet is designed to give students practice at finding the perimeter and area of various composite shapes. My main goal when I teach geometry is to try to get students to think critically and logically. Many students have difficulty with composite shapes, as they have trouble seeing how it is comprised of two (or more) rectangles and/or squares. When I teach composite shapes, I always have students fill in all the missing sides first (if a student is struggling, I have them draw dotted

This worksheet is designed to help teach students how to create a circle graph by hand using data from an M&M bag. This is always one of the highlights of the year with students - many will remember this down the road. I start by putting the students in groups of 2-3 students each (enough for 10-11 groups in the class). They each get a bag of M&M's (either regular size of king size), and they have to count the number of each color inside the bag and record it on their sheet. Of course, they can

This worksheet helps students write and solve real life linear equations given two variables and different scenarios. Students have to create an equation (written in standard form), and then graph the equation by finding the intercepts (I find this the easiest way for students to graph linear problems given a standard form equation). Students can convert the equation to slope intercept if they want to (I had a couple do this), but most prefer the intercept method. After graphing the line, studen

This worksheet is designed to help students learn/practice how to factor out a GCF number from a binomial. This concept is surprisingly difficult for many students. They can do the distributive property fine, but when you try to have them factor out a number from a binomial (the GCF - doing the distributive property backwards) they freeze up. I guess some of it has to do with working backwards on a concept. Students can go forwards ok, but going backwards is trickier for most (division is more d

This worksheet is designed to teach students how to write the area of circles and compound shapes both as a decimal and in terms of Pi (something both the SAT/PSAT and ACT will require them to do). I have found that students have been taught and know how to write their answers as decimals (using 3.14 for Pi), but many have never been taught how to leave an answer in terms of Pi. Leaving an answer in Pi form, as you probably know, is a more exact answer and requires students to think about proble

This worksheet is designed to help students practice simplifying and using imaginary numbers. I recently used this with my Algebra 2 class, and it went very well. There are a variety of problems - simplifying negative radicals, multiplying radicals (some negative), simplifying "I" to a power, and multiplying imaginary numbers. There are also some basic equations with imaginary answers. The scrambled answers are helpful for students as they go through the worksheet to make sure they are doing the