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IXL: Math Practice - Slopes of Lines
Details
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Activity Website:
Activity Description
This activity gives students the needed practice to reinforce classroom instruction on Slope. Students are asked to find the slope given a line on the Coordinate Plane, two points on a line, and a linear equation. Students who answer incorrectly are given an explanation of the correct solution and an opportunity to try again.
This site requires a paid membership; however, you are permitted free access to 20 questions per day. IXL provides differentiated instruction and tracks student progress with a paid subscription. The questions will automatically increase in difficulty as the student improves.
Preparation
- Check to be sure that the site is not blocked by your school.
- Be sure to review the topic of Slopes of Lines the day before and besure the Web site problems work as they should.
- Try some of the exercises to check the difficulty level. Students will need to be able to add and subtract positive and negative integers. Review if necessary.
- All answers are to be given as a proper fraction, improper fraction, integer, or formula. Review if necessary.
Teacher Tips
- All answers are to be given as a proper fraction, improper fraction, or integer. Be sure your students understand those terms.
- Reviews are mixed as to the reliability of some of the answers, so be sure you work all the problems to check on their accuracy before assigning to students. Rounding could be the issue as different calculators and programs round differently.
- Math Warehouse offers a video explanation of the topic on computing the slopes of lines if that would be helpful for your independent study students.
- Here is a Slope Worksheet and Activity page from Math Worksheets Go! .
More Ways
- IXL provides differentiated practice on numerous topics in Math from Pre-K to High School and Language Arts from 2nd grade to 6th grade. So spend some time at the site and see all it has to offer.
- The site also offers mobile apps for iPad, Android, and Kindle which would offer even more opportunities for student learning.
Program Areas
- ASE: High School Equivalency Preparation
- ABE: Adult Basic Education
- ASE: High School Diploma
Levels
- Intermediate
- High
Lesson Plan
Warm-up
Activity:
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- Begin with a brief discussion on real-life applications of slopes (e.g., construction, skiing, or road inclines).
- Ask students to recall prior knowledge about slopes and share it with the class.
Introduction
Activity:
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- Explain the importance of understanding slope, particularly for the High School Equivalency test.
- Introduce the concept of slope, defining it as the measure of the steepness of a line.
- Discuss the different ways to determine slope: from a graph, using two points, and from a linear equation.
Presentation
Activity:
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- Use visual aids and examples to teach the concept of slope.
- Graphical method: Show how to determine slope by counting the rise over the run on a graph.
- Two points method: Use the formula (y2−y1)/(x2−x1)
- Linear equation method: Identify the slope from the equation y=mx+by = mx + by=mx+b
- Demonstrate each method with multiple examples.
Practice
Interactive Activity:
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- Direct students to the IXL website to practice slope problems.
- Students will answer questions on finding slopes from graphs, two points, and linear equations.
- Encourage peer collaboration by having students work in pairs to discuss and solve the problems.
Differentiated Instruction:
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- Monitor student progress and provide targeted help as needed.
- Use the explanations provided by IXL for incorrect answers to facilitate learning.
Evaluation
Activity:
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- Conduct a short formative quiz with questions on finding the slope in different scenarios.
- Collect and review the quiz to gauge understanding and identify areas needing reteaching.
Application
Collaborative Activity:
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- Split students into small groups and give each group a real-life scenario where they must determine the slope.
- Examples: Designing a wheelchair ramp, calculating the incline of a hill, or determining the slope of a roof.
- Each group will present their scenario and solution to the class.
Activity:
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- Review the real-life application problems discussed by the groups.
- Provide immediate feedback and address any misconceptions.
Documents
- IXL Geometry Lessons.png - Screenshot of IXL Geometry Lessons available
Subjects
- Math
- Geometry
Standards
- Geometry
- 5.G.1-2 - Graph points on the coordinate plane to solve real-world and mathematical problems.
Tags
geometry, graph, High School Equivalency , IXL, line, plane, slope, slopes of lines, coordinate, coordinates, equation, GED