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| Algebraic Expressions Activity |
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| Pythagorean Theorem in the Coordinate Plane |
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| Area and Perimeter Worksheets |
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| Z Scores Activity and Warm-ups |
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| I'm Not Glazing Poster (free) |
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| Algebraic Expressions Activity |
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| Pythagorean Theorem in the Coordinate Plane |
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| Area and Perimeter Worksheets |
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| Z Scores Activity and Warm-ups |
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| I'm Not Glazing Poster (free) |
Over the last few weeks, I've been making some new geometry activities to get ready for my new teaching assignment in the fall. It has been a while since I've taught high school geometry, and the students I will be teaching will need a lot of support. My students take geometry before they take algebra 1, which will bring a unique challenge. So I've been building up a collection of engaging geometry activities for students that will support their learning while also being fun.
After starting the year reviewing integers, order of operations, scientific calculator basics and writing algebraic expressions, we'll get into geometry fundamentals. We'll start fundamentals by identifying angles, lines, rays and line segments.
After notes, students will complete a matching activity for identifying angles, lines, rays and line segments, then this angles, lines, rays and segments coloring worksheet.
When I posted that coloring activity on Facebook, a teacher mentioned his students having trouble naming angles. So I made this naming angles coloring worksheet.
After naming angles, we'll move into writing congruency statements. We'll focus on writing congruent angles and line segments statements during this unit and complete this congruency statements 2 truths and a lie.
Then we'll get into solving for the lengths of line segments, and I know that students will need a lot of support solving equations. My students next year will be freshmen in small group special education. We call the class applied geometry, and they will be taking it before taking high school algebra. I have used this solving equations flowchart most of my years teaching to support students solving equations.
I love 2 truths and a lie activities because of how they focus students on identifying mistakes. After we practice solving line segment equations in our notes, students will complete this line segment addition 2 truths and a lie. On each card there are 3 statements. Students figure out the error (the lie) then fix it on their answer sheet.
If students seem to need a refresher on identifying angles by measurement, I'll give them this classifying angles coloring worksheet activity.
Task cards are nice for chunking material to make assignments less overwhelming for students. When I taught geometry in the past, students completed this midpoints, angle bisectors and angle sums activity. There are just 4 cards with multiple questions, so students can focus on one skill at a time.
Next, we'll get into supplementary, complementary and vertical angles notes, then practice identifying angle pair relationships and solving for angle measurements.
To help students remember which angle pair is which, they'll color this free angle pairs reference for their notebooks.
Students really like these escape rooms, so to practice solving for the measures of these angle pairs, I'll give them the printable version of this angle pairs relationship escape room. The puzzles get harder as the activity progresses, so every student should be able to complete at least a few of the puzzles for practice.
For more complex angle pair equations, I also have this complementary, supplementary and vertical angles 2 truths and a lie. My students are going to keep separate warm-up notebooks this year, so I might give individual cards as warm-ups for their notebooks. I like spending extra time on warm-ups (20 minutes) because it breaks up the time and reviews important material from the previous class.
This will finish up our fundamentals unit, after which we'll move into coordinate geometry. Hopefully there will be some board room for my large magnetic coordinate plane because I already know students will struggle with plotting coordinates. I'm going to present coordinates as (time, height) or (time, amount) so that the x and y values feel different from each other.
Students will be introduced to the Pythagorean Theorem in the coordinate plane by first identifying each right triangle's vertex coordinates, then counting to find leg lengths, then using the Pythagorean Theorem to calculate hypotenuse lengths.
We might not get to this distance in the coordinate plane activity, but after posting the Pythagorean Theorem in the coordinate plane activity, teachers on Facebook asked for a "tilted" legs version. In this version, none of the triangle legs are aligned vertically or horizontally.
We'll then move on to this Pythagorean Theorem escape room, a 2 truths and a lie error analysis, or both depending on how they're doing.
Next up is calculating missing midpoints and endpoints, and I remember students struggling with this from the last time I taught geometry. We'll start with finding the midpoints and missing endpoints of horizontal and vertical segments, then move to diagonal segments. As an intro activity, I'm going to give students this hands-on endpoints and midpoints worksheet. Students will use their right triangle to measure the line segments then fill in each table. There's a 4-question exit ticket at the end.
After coordinate geometry, our curriculum moves into area and perimeter, which surprised me a bit but makes sense to refresh students' memories of the formulas. I made this area formulas reference sheet to go along with an area stations lab. There are written directions on the sheet for finding the area of each shape for students who are intimidated by the formulas.
Just to make sure everyone remembers their quadrilaterals, students will complete this quick classifying quadrilaterals coloring worksheet.
Then students will begin working on the area stations lab, where they'll measure the shapes before finding area to connect back to this skill. After finding area, students calculate the cost to paint each shape. They'll find the area of a square, rectangle, triangle, circle, parallelogram, rhombus and trapezoid. There's also a Google Slides intro presentation.
Next students will find both area and perimeter, both on and off the unit grid. I made a couple versions of these area and perimeter worksheets with diagonal lengths labeled and not labeled. If students are comfortable with the Pythagorean Theorem, I'll give them the version without the diagonal lengths labeled. All of the diagonal lengths stem from Pythagorean triples.
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| High School Geometry Bundle |
I still have a lot to make to be ready for teaching this class next year. All of my geometry activities are in this high school geometry activities bundle, and all new geometry activities will be added in there, too.
Do your algebra students struggle with finding the increasing and decreasing intervals of graphs? This increasing and decreasing finder tool guides students where to look when finding the increasing and decreasing intervals.
Students watch the graph move up and down the ruler on the side.
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| domain and range finder tools w/ increasing and decreasing |
"These helped my algebra students so much! The directions on each finder were so helpful...especially when the graph has arrows and not endpoints." - Elizabeth Y
The increasing and decreasing tool was added to a similar domain and range finder tool that guides students where to look when finding domain and range. See the domain & range / increasing & decreasing tools here.
The brain is a funny thing. We've evolved these giant frontal lobes that can plan years in advance, but throw in a bit of test anxiety and we're suddenly running from a lion at dusk. When the brain detects danger, that massive frontal cortex shuts off and is just there taking up space.
If I had to estimate, every single student I have ever had in any of my special education math classes has had some level math anxiety. I have my theories as to why this is, but in this post I want to instead focus on ways to help students overcome this anxiety when taking tests so that they don't doubt their answers.
I asked teachers on Facebook what they do to help students with this, and got a bunch of great advice. Their advice is below. If you'd like to read the original thread, it's here.
This week, the plan is to finish learning about compound interest so that we can squeeze in projectile motion next week before starting final exam review the week after. It'll be tight, but that's the goal! Hard to believe there are only a few weeks left.
We started our exponential functions unit learning how to graph exponential functions by building tables, identifying a and b given a table, and writing the equations of exponential graphs with the y-intercept and f(1) highlighted.
We then moved on to compound interest compounding annually, then compounding more often. Today students started a compound interest escape room that covers compounding annually, quarterly, monthly, and daily. The escape room also comes as self-checking digital, but we used the printable version. It's more forgiving and keeps students offline.
In this post, there are two free percent of a number cheat sheets for a consumer math unit on calculating percentages of numbers and calculating discounts. Each can be added to student notebooks as a reference when learning how to calculate percentages.
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| Percent of a number cheat sheet |
The first percent sheet reminds students of the divisor when calculating the percent of a number. For example, We can divide 125 by 5 to find that 25 is 20% of 125. This sheet prints on half a page to fit into a student notebook.
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| Friendly percentages cheat sheet |
It's almost the Massachusetts version of spring break here (April vacation), term 4 just started (hard to believe!) and we just began on our exponentials unit in algebra 2. This is going to be a super short post just to share a cheat sheet to help students remember how to write an exponential function equation given two points.
The sheet walks students through how to write exponential function equations from a table of values, including the y-intercept and one other point. Students are shown how to solve for the exponential's base b, then how to write the equation using this base and information from the table.
You can download this cheat sheet free here.