Lesson Plan 1:
Target Audience:
Students ranging from tenth grade to twelfth grade.
Overall Goal of the Lesson:
The overall goal of this lesson is to have students learn more about geometry and the properties of triangles, quadrilaterals, circles, and polygons.
Student Learning Objectives:
- Understand deductive reasoning
- Understand
- Demonstrate mathematical proofs of selected theorems
- Learn more about Greek achievements in mathematics
Assessment:
The students will be assigned to research different proofs of the Pythagorean Theorem as well as a Greek mathematician using various resources from the internet. The students will watch a video about different theorems and use those theorems to complete an activity. This activity could be having the students measuring their own heights and the heights of their shadows and then record their results. From this lesson, students should be able to clearly demonstrate the ability to measure indirectly, and show a complete understanding of deductive reasoning in mathematical proofs.
- G.5.1 Prove and use the Pythagorean Theorem.
- G.5.2 State and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle.
- G.8.1 Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards.
- G.8.2 Decide whether a solution is reasonable in the context of the original situation.
Target Audience:
Geometry high school students ranging from ninth grade to twelfth grade.
Overall Goal of the Lesson:
The overall goal of the lesson is to make sure the students have a clear understanding of how perspective drawing differs from three dimensional sketching, how to do both types of drawing, and what is meant by a vanishing point.
Student Learning Objectives:
- Understand perspective drawing
- Understand three dimensional sketching
- Demonstrate both types of drawings
- Understanding of a vanishing point
Assessment:
A worksheet will be given in order to demonstrate that the students have met the learning objectives. This worksheet will have the students do two different types of sketches: those that ‘look’ three dimensional and those that are drawn into perspective. Students will be able to finish most of this worksheet during class; however, what is not completed will be assigned for homework.
- G.8.7 Construct logical arguments, judge their validity, and give counterexamples to disprove statements.
- G.8.2 Decide whether a solution is reasonable in the context of the original situation.
- G.8.9 Perform basic constructions, describing and justifying the procedures used. Distinguish between constructing and drawing geometric figures.
Lesson Plan 3:
Target Audience:
Students in Algebra I.
Overall Goal:
Students will find the slope and y-intercept of a line given its graph and write the equation of a line in slope-intercept form. Students will also demonstrate understanding of how the slope and y-intercept of a line are related to its equation.
Student Learning Objectives:
- How to find the slope of a line
- How to find the y-intercept of a line
- Demonstrate how both a related to its equation
Assessment:
The students will be introduced to the concept by studying the slope of the line and its intersection point with the vertical axis in the xy plane. In order to demonstrate that the students have met the learning objects an activity will be given a worksheet that they could work on individually or in a group. Finally, a discussion will be held in order for the students to present their findings from the worksheet and put together the information they learned from this lesson.
- A1.4.2 Find the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line.
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