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CPM
Using Equal Values Method or Substitution
Math whizzes solve and complete 20 different problems. Problems are solved using the substitute, or the equal values method. Learners also create their own systems of equations based on word problems.
Curated OER
Two Squares are Equal
This problem is sure to get your young mathematicians thinking. The idea sounds simple: one equation, solve it as many ways as you can. This is meant to get at a deeper understanding of solving quadratic equations, including some more...
Beacon Learning Center
Ten Pins
Multiplying with multiples of 10, 100, and 1,000 provides an opportunity to discuss patterns that arise with zeros. The class uses these patterns to solve problems. Then they rotate through three work stations, including a computer-based...
Curated OER
Pen and Ink Drawing
Learners hone their drawing techniques to create a nature-inspired piece of art. They practice hatching, cross hatching, stippling, and shading. They discuss how each method is better suited for creating specific elements in nature such...
Teach Engineering
Equal and Opposite Thrust in Aircraft: You're a Pushover!
It's the law—every action requires a reaction, no matter how small. Pupils experience two demonstrations of Newton's third law of motion as it relates to thrust in the 10th segment of a 22-part unit on flight. Using their mathematical...
Charleston School District
Solving Systems with Elimination
Can you handle one more method? It just might be your favorite! Building on the skills learned in the previous lessons in the series, scholars now learn the elimination method. The video examines problems of varying difficulty.
Curated OER
Three Methods for Using Quadratic Functions to Model Data
In this modeling data worksheet, students use quadratic functions to model data using three different methods. This worksheet provides explanations and an example. Additionally, students are given the steps to find the...
Curated OER
Fractile vs. Equal
Students compare and contrast methods of categorizing data. In this data collection lesson plan, students complete worksheet activities that require them to note the differences between equal and fractile intervals. Students also discuss...
Houghton Mifflin Harcourt
Unit 1 Math Vocabulary Cards (Grade 4)
Use a set of 12 math vocabulary cards intended for fourth grade mathematicians. The topics of the cards include mostly place value concepts. Each sheet contains two cards; one with the word printed in bold text, and the other with...
Curated OER
The Value of a Number
Students assess informal methods to solve real-world problems that utilize simple equations that involve one variable. They incorporate concrete objects to assist them in the solving of a variety of equations. The students are actively...
101 Questions
Stacking Cups
Facilitate an understanding of equality using a modeling task. After watching different-sized cups being stacked, learners use their math skills to determine when the height of each cup tower will be the same. Meant as an introduction to...
EngageNY
Linear Equations in x
What does it mean to solve an equation? The resource revisits the concept of making a linear equation true. Classmates use algebraic methods to transform sides of equations to expressions with fewer terms. They use substitution to...
West Contra Costa Unified School District
Polynomial Division
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II lesson that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
College Board
Differentiability of Piecewise Defined Functions
Differentiable or not, that is the question. An informational website gives two theorems on the differentiability of piecewise functions at their endpoints. It goes on to apply the theorems to present two solution methods to a past AP®...
Curated OER
Greater Than, Less Than, Equal to
First graders complete number comparison activities. In this number comparisons lesson, 1st graders review the names of comparison symbols and participate in visual comparison activities. Students practice using the gator and clam method...
Willow Tree
Systems of Equations
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Curated OER
Functions
For this functions worksheet, students solve and complete 5 different sets of problems that include determining functions on intervals. First, they define a definite integral and the Fundamental Theorem of Calculus. Then, students draw a...
Curated OER
Balancing Equations and Using a Pyramid
Sixth graders complete worksheets and make journal entries to interpret mathematical expressions about the pyramids. In this equality by balancing equations lesson plan, 6th graders participate in groups or by themselves to complete...
Curated OER
The Method of Integration by Partial Fractions
In this calculus worksheet, students solve problems using integration by partial fractions. They add fractions to get a common denominator, then take the derivative. There are 20 questions with an answer key.
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
Curated OER
Substitution "Plugging In"
The old plug and chug method will help the class investigate functional notation. They explore the meaning of functional notation, f(x), and determine the functional value of given values. The lesson includes two application problems and...
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the...
EngageNY
True and False Number Sentences II
Substitution is still the method of choice to verify number sentences. The detailed lesson plan has young mathematicians determining conditions for when number sentences are true or false through substitution. They learn to express these...