Product and Quotient Properties of Exponents
This lesson helps students understand two foundational exponential properties: The Product and Quotient Properties of Exponents. Students will collaborate to formulate a rule for these properties. Ultimately, students should conclude that when the same bases are being multiplied, exponents will be added; and when the same bases are being divided, exponents will be subtracted. As the lesson progresses, students will apply these rules to simplify expressions of various difficulties.
Equations in the Real World
Students will create and solve equations with variables on one side before comparing the equation with another to determine at what rate they will be equal.
Using Linear Equations to Count Pecans
Students will write linear equations in point-slope form given two points via a verbal description.
Teacher instructing
45-45-90 Triangles
To learn the pattern of the side lengths of a 45-45-90 triangle, students complete a gallery walk, a card sort activity starting with using the Pythagorean theorem, and activity to locate if there is an error in a presented problem and if so to identify what the error is.
Working with Literal Equations
The lesson will provide a conceptual basis for illustrating the parallelism between solving multi-step equations and translating literal equations into solutions for specified variables.
Students working together
Rise Over Run! Let’s Have Fun!
Students will collaboratively practice identifying and graphing slope and y-intercept.
Four Representations of Linear Relationships
Given one representation of a linear relationship, students will create a poster displaying the other three representations of linear relationships.
Laws of Exponents
Students will discover the laws of exponents using problem-solving skills.
Texas Essential Knowledge and Skills (TEKS) Vertical Alignment
Click below to learn about the TEKS related to the unit and Research Lesson. The highlighted student expectation(s) is the chosen focus for the Research Lesson.
Rate of Change
The students will determine the rate of change from tables and graphs by using the slope formula. The students will discover and interpret the real-world applications of rate of change.
Texas Essential Knowledge and Skills (TEKS) Vertical Alignment
Click below to learn about the TEKS related to the unit and Research Lesson. The highlighted student expectation(s) is the chosen focus for the Research Lesson.
Concert Trip to Red Rocks Amphitheatre in Colorado
Students will evaluate and interpret data from both tabular and graphical forms to create a linear equation in either the form of direct variation (y=kx) or slope-intercept form (y = mx + b). Students will then use their findings to interpret the meaning of both slope and y-intercept using a real-world relationship in word form.
Up, Up, and Away
Students will determine an appropriate tabular/graphic/formulaic linear solution given 3 sets of data points.
Exploring Number Sense
Students will use manipulatives and a number path to identify numbers one less than or more than a given number.
Students Working in Their Group