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.
Let's Analyze and Compute Fractions!
Students will compare fractions with unlike denominators to determine whether a given answer to a real-world problem is correct using context and computational skills.
Teacher during Introduction
Proving an Ecosystem’s Health Through Succession
Students engage in viewing day three of ecosystem changes in lab groups to determine if the ecosystem is healthy or unhealthy based on scientific data and factors.
Spending Money
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.
Multiplication Matters: Justifying Mathematical Reasoning in Problem Solving
Students solve one-step and multi-step problems, including multiplication and remainders, by engaging in a real-world story problem, using a graphic organizer of their choice.
Glaciologist in Action (Lab)
Students participate in a hands-on lab in which glacier (ice) effects on the Earth’s surface is demonstrated.
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.
Centers in Subtraction
Students will participate in multiple centers including a guided math center that reinforces subtraction concepts.
Circuit Designers
Students will work in small groups of two to three on a structured challenge around circuits which includes requirements such as including using a switch or a conductor. They will then use that knowledge to work on a collaborative challenge to solve a relevant problem related to elephant poaching. Students will create a containment system that will have an alarm system, a lighting system, and a way to pass through. Finally, they will review the other projects and discuss similarities and differences in the design.
When Life Gives You Lemons
Students create input-output tables to find numerical patterns and relationships in the real world through the process of making lemonade.
Comparing Fractional Parts Using Pizza
Students will compare fractional parts in a real-world situation using play dough as a model for pizza.
Student working through task
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.
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.
Who Ran the Farthest?
Students determine by using fractions which fourth-grade teacher ran the farthest.
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.
How Newton's Laws Apply Every Day
Students collaboratively determine how the characteristics of a real-world job correlate with each of Newton’s Laws and why that is relevant to their own lives.
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.
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.
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.