HS Genetics Lesson using Hardy Weinberg Equation N.Q.A

This learning progression was used in a 10th grade biology classroom. The students are completing a unit on genetics are learning how to calculate allele frequencies in a population. This unit will focus on Common Core State Standards (CCSS) and Next Generation Science Standards (NGSS).

Standards:

CCSS.MATH.MP5: Model with mathematics

CCSS.MATH.CONTENT.HSN.Q.A.2: Define appropriate quantities for the purpose of descriptive modeling.

NGSS HS-LS3-3. Apply concepts of statistics and probability to explain the variation and distribution of expressed traits in a population.

The learning progression and activity is attached below:

edtpa learning progression

Genetics Lab pg 1

HSF.TFA.A.1,2,&3 The Unit Circle

Image result for unit circle

Ideally this learning progression would take place in an Algebra II class. This learning progression focuses on exploring the Unit circle and understanding what a radian is. Throughout the progression the students will start by discovering what a radian is by creating a radian using paper and different circular objects. The students will then move into solving the unit circle using their new understanding of radians and their prior understanding of degree measurements. After the unit circle is complete the students will be able to use the unit circle to solve special triangles using trigonometric functions.

The Common Core State Standards aligned with the learning progression are:

HSF.TFA.A.1: Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

HSF.TFA.A.2: Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

HSF.TFA.A.3: Use special triangles to determine geometrically the values of sine, cosine, tangent for p/3, p/4 and p/6, and use the unit circle to express the values of sine, cosine, and tangent for x, p+x, and 2p-x in terms of their values for x, where x is any real number.

The learning progression works towards these CCSS Mathematical Practices:

MP5: Use appropriate tools strategically.

MP6: Attend to precision.

MP7: Look for and make use of structure.

The learning Progression is attached here:

Learning Progression Unit Circle