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.
Mission Possible—The Hierarchy of Polygons
The students participated in three missions that required them to independently classify two-dimensional quadrilaterals in a hierarchy of sets and subsets using a graphic organizer based on their attributes and properties.
Using Linear Equations to Count Pecans
Students will write linear equations in point-slope form given two points via a verbal description.
Teacher instructing
Courts of Measure
Students will use measurement tools to measure the dimensions of the basketball court and calculate the area of the court.
Fractions with Multi-Step Problems
Students will be able to work collaboratively while baking to find the least common multiples of fractions with unlike denominators and create equivalent fractions, then add or subtract.
Finding Clues to Solve Equations and Inequalities
Students will solve one variable two-step equations and inequalities using a variety of materials while working independently and collaboratively in learning stations.
Strike a Pose
The students will solve two-step equations through modeling, expressing algebraically, and writing out the steps to their solutions.
Rational Number Stations
Students will visit two different stations and work as a group to add, subtract, multiply, and divide rational numbers.
Particular Polygons
Students will be able to classify 2D figures by analyzing their attributes.
Analyzing Bar Graphs: Candy Machines
Working in groups, students will examine a bag of candy to determine if the machine that bags the candy is working properly. They will organize data on the colors of the candy in a frequency table and a bar graph. They will calculate the fraction of each color in the bag and compare the fractions to a quota set up by the factory to determine if the machine needs maintenance. Students will create a report about their findings, write a question that requires students to interpret data represented in a bar graph, and reflect in their journals.
Texas Essential Knowledge and Skills (TEKS) Vertical Alignment
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Laws of Exponents
Students will discover the laws of exponents using problem-solving skills.
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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.
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Area of Composite Figures
Student groups will work collaboratively using the appropriate formulas to find the area of simple figures and combine the area of each shape to find the area of composite figures in real-world situations.
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Up, Up, and Away
Students will determine an appropriate tabular/graphic/formulaic linear solution given 3 sets of data points.
Diagramming Dinosaurs
Students will use a verbal representation to explore a constant rate of change in the size of dinosaurs over a period of time and represent their data by graphing.
Measurement Properties for 2-D and 3-D Shapes
Students will be able to use a problem-solving model, tools and techniques, communication, representations, relationships, and justifications when solving problems involving two-dimensional and three-dimensional shapes. Students will integrate content knowledge and skills so that students are prepared to use mathematics in everyday life, society, and the workplace.
Modeling and Solving Two-Step Equations
Students will use various materials to create models of two-step equations. Then, they will take an equation, create their own model, and solve for the variable from the model.
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Equations and Inequalities
Using a graphic organizer, students will write and solve a one-variable, two-step equation using the distributive property. They also will draw a picture and justify their solution.
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Does Paper Have Volume?
Students will be involved in a problem-solving lesson to determine if paper has volume, find the volume of a piece of paper and a ream of paper, and determine how many pieces of paper will fit inside their classroom.
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Discovering the Ratio of Pi
Students will discover the ratio of pi by relating the circumference to the diameter of various circles. Students will use this ratio to approximate the formulas for circumference.
Texas Essential Knowledge and Skills (TEKS) Vertical Alignment
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