Slope and Rate of Change

I was going through a review of slope that I made a couple of years ago. I love this resource! It was created for the 8th grade STAAR, but I feel like all Algebra teachers would love this. Students are supposed to come into Algebra with a concept of slope already! Why do students have such a hard time with it? Slope is a fun and interesting concept and of course ties to so many real-life situations. Let me tell you what this review contains:

Now remember that it is a review of slope! The first page gives the students a picture of a line with four points on the line. The students are asked to find the slope of two different segments along the same line, two different ways. The picture also has two right triangles drawn that were created from using the endpoints of the segments. Students that already have a concept of slope should be able to think of several ways to find slope. I love this so much. On top of that, shouldn’t the slopes be the same and the two triangles created are similar. Hopefully students will have that Ah-ha moment!

The next two pages have the students interpret the meaning of slope by matching a situation to a graph. The students are thinking of slope as a rate of change and having a proportional relationship. I love the different graphs. Teachers could ask the students to find the slopes of all of the graphs first before trying to match them to the situation. Students are asked to explain why the graphs they did not choose are incorrect. Having students explain their reasoning is always important in math.

The next four pages are a set of 24 matching cards. 12 of the cards have either a graph or a table. The other 12 cards display a slope, y-intercept or another way of identifying that it matches one of the graph or table cards. This activity is engaging and students have to know what they are doing!

Finally, the last page in this resource is something that I have consistently placed in every 8th grade STAAR resource. I call it Smath’s Problem. It is an activity that reviews several of the topics in the resource. It is interesting and students enjoy working through the situation. It can be used as an assessment or a group activity.

I think you’ll enjoy this resource. All of the answer keys are included. Take a look if this sounds interesting!

8th Grade Math STAAR Review

Teachers have enough to do without having to create their own review material. I decided to help 8th grade math teachers by creating a math STAAR review. Below I will explain a little about what you will find in each resource. At the end of each lesson, there is a review problem that I named, Smath’s Problem. It is a combination problem that reviews all of the content in the objective. A strategy could be that if you feel like your students understand a certain objective, then give them Smath’s Problem to see where they stand. A second idea is to go over all the TEKS in the objective lesson, then give Smath’s problem as a quiz.

If you are from Texas, then you know that the objective 1 standards are the process standards. These explain how the students will engage in the content. The tested objectives actually start with objective 2. Below is a quick explanation of the content covered with a piece of one of the reviews that I made. Every TEK is covered in the reviews and is written at the top of the worksheet.

TEKS Objective 2: Sets and subsets of numbers, approximating irrational numbers, scientific notation and ordering real numbers.

TEKS Objective 3: Setting up proportions, comparing a shape and its dilation, using algebraic representation to show a dilation.

TEKS Objective 4: Using similar right triangles to develop an understanding of slope, interpreting unit rate as slope in proportional relationships, determining rate of change, slope or y-intercept for a table or graph.

TEKS Objective 5: Multiple-reps, proportional and non-proportional linear relationships, scatter plots and predictions, direct variation, content literacy, functions and non-functions.

TEKS Objective 6: Plugging into the volume of a cylinder without solving, comparing the volume of a cylinder and a cone, using models to demonstrate Pythagorean Theorem.

TEKS Objective 7: Volume of cylinders, cones and spheres, lateral and total surface area of rectangular prisms, triangular prisms and cylinders, Pythagorean Theorem and its converse, finding distance using Pythagorean Theorem.

TEKS Objective 8: Setting up and solving equations/inequalities with variables on both sides, writing a real-life scenario from a given equation, establishing facts about these geometry concepts: parallel lines cut by a transversal, angle sum and exterior angle theorems of triangles and AA similarity problems.

TEKS Objective 9: Lead up to Systems.

TEKS Objective 10: Understanding of transformations, study of which transformations preserve congruence, writing algebraic representations for transformations, effect on linear and area measurements when shapes are dilated.

TEKS Objective 11: Determining if a scatterplot has an association, mean absolute deviation, random sampling questions.

TEKS Objective 12: Simple interest and compound interest, analyzing the effects of interest rate and loan length, analyzing how money grows over time, making financially responsible decisions, advantages and disadvantages of different payment methods, estimating the cost of college.

Each objective lesson is sold separately or you can purchase the bundle. Good luck!