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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.
In this lesson, students use the Understand, Plan, Solve, and Evaluate (UPSE) problem-solving model to first identify and organize relevant information, and then devise and carry out a plan to solve one-step mathematics word problems with a missing addend. The lesson was designed with English learners (ELs) in mind and includes instructional strategies designed to make linguistic and content input comprehensible: a focus on vocabulary, manipulatives, visuals, cooperative learning, anchor charts, graphic organizers, technology applications, and sentence stems/frames.
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.
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.
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.
Place Value Party
In learning stations, students prepare for a birthday party by using their knowledge of place value to compose, decompose, and represent numbers using standard, word, and expanded forms.
Students will be able to classify 2D figures by analyzing their attributes.
Keeping it Concrete with Candy
Students will work collaboratively to apply and use digits, value, greater than/less than and base 10 knowledge to communicate numbers up to 1200 with a Halloween theme.
One-Step Word Problems
Students participate in a teacher-created three-act task in order to solve math word problems. They reactivate their prior knowledge and determine the question to solve the main problem during Act One. Act Two engages students in a differentiated, rich task. During Act Three, students compare and discuss their work with peers outside their original groups.
Comparing Fractional Parts Using Pizza
Students will compare fractional parts in a real-world situation using play dough as a model for pizza.
Using Linear Equations to Count Pecans
Students will write linear equations in point-slope form given two points via a verbal description.
Courts of Measure
Students will use measurement tools to measure the dimensions of the basketball court and calculate the area of the court.
Solve Problems using Place Value Strategies with a Carnival Theme
Students will work collaboratively through a fictitious real-world scenario to solve one‐step and multi‐step word problems. The lesson will involve solving addition and subtraction within 1,000 using a variety of strategies based on place value.
Math at the Carnival
As students rotate through engaging learning stations, they utilize concrete objects, pictorial models, mnemonic devices, and strip diagrams to solve real-world, two and three-digit subtraction word problems, with and without regrouping.
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.
Using Theoretical and Experimental Probability to Make Predictions
Given an event to simulate, the student will use theoretical probabilities and experimental results to make predictions and decisions.
Trip to the Theme Park
Students will work on a real-world based project in class involving multiplication of decimals requiring budgeting skills.
Puzzling Place Value
Students work collaboratively with a variety of different manipulatives to compose and decompose numbers in more than one way.
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.
Texas Essential Knowledge and Skills (TEKS) Related to the Unit
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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.
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.