Free Finding Rules For Simple Quadratic Patterns Lesson Plan for 8th Grade Students

Topic: Finding rules for simple quadratic patterns

Objectives & Outcomes

• By the end of this lesson, students will be able to create a rule for a simple quadratic pattern and use the rule to predict future values of the pattern.

Materials

• Graph paper
• Pencils
• Calculator (optional)

Warm-up

• Have students work in pairs to solve the following equation: y = ax^2 + bx + c, where a, b, and c are constants. Have them write their answers on the graph paper.
• Then, have each pair share their answers with the class.

Direct Instruction

• Introduce the concept of a quadratic pattern, which is an equation that can be written in the form y = ax^2 + bx + c, where a, b, and c are constants.
• Explain that, in order to find the rule for a quadratic pattern, we need to find two points that lie on the pattern and use the formula for a quadratic equation to calculate the y-values for those points.
• Have students work in pairs to find the points on the pattern that lie between -1 and 1 and then use the formula for a quadratic equation to calculate the y-values for those points.
• Have each pair share their points and y-values with the class.

Guided Practice

• Have students work in pairs to find the points on the pattern that lie between -1 and 1 and then use the formula for a quadratic equation to calculate the y-values for those points.
• Have each pair share their points and y-values with the class.

Independent Practice

• Have students create a quadratic pattern of their own, using a different starting point and a different number to multiply by. They should be sure to follow the rules they have created for their pattern (e.g., the x-values should be evenly spaced, the y-values should increase or decrease linearly).
• Have students create a poster or presentation to show their pattern and the rules they used to create it.

Closure

• Review the main points of the lesson (e.g., what a quadratic pattern is, how to create rules for one).
• Ask students to share their posters or presentations with the class.

Assessment

• Evaluate students' posters or presentations based on their understanding of the concept of a quadratic pattern and their ability to create a rule for a given quadratic pattern.