Virginia Department of Education
Properties of Real Numbers
Students use paper cups and colored chips to observe properties of operations with real numbers. As a class, students brainstorm and use manipulatives to demonstrate associative, commutative, distributive identity and inverse properties....
EngageNY
Comparing Tape Diagram Solutions to Algebraic Solutions
Learners solve vacation equations using tape in a lesson plan that utilizes tape diagrams to aid in understanding the algebraic steps involved in solving two-step linear equations. Groups work together to solve seven scenarios involving...
EngageNY
Multiplication and Division of Rational Numbers
Partners create integer multiplication word problems and swap them to solve, followed by altering the problem to use rational numbers. By working with word problems involving multiplication and division of rational numbers, pupils...
EngageNY
Division of Integers
The 12th segment in a 25-segment series looks at the division of integers and how the signs of the dividend and divisor affect the sign of the quotient. Pupils start with multiplication and division facts of whole numbers and create the...
EngageNY
Applying the Properties of Operations to Add and Subtract Rational Numbers 2
The ninth part in a 25-part series emphasizes the importance of using properties of operations in evaluating sums and differences of rational numbers. Pupils solve problems and provide justifications for each step.
EngageNY
Using the Number Line to Model the Addition of Integers
The second lesson in a series of 25 shows the class how to use arrows and a number line to add integers. Learners apply their knowledge of the commutative property and absolute value in their explanations. Classmates play the integer...
EngageNY
Understanding Subtraction of Integers and Other Rational Numbers
Subtraction is all about opposites, and the fifth activity in a series of 25 introduces the concept of subtracting integers. Pupils connect subtracting with discarding a card in the integer game. They develop the rule for subtracting...
EngageNY
Computing Actual Lengths from a Scale Drawing
Class members take scale drawings and examine scales to determine distances in the actual objects. Pupils convert the scales of different units to scale factors that can be used in proportional equations.
EngageNY
An Exercise in Changing Scales
Classmates create a scale drawing from another scale drawing, changing the scale in the process. Groups enlarge or reduce the scale of the drawing and discuss their processes.
EngageNY
Representing Proportional Relationships with Equations 2
Scholars determine how long it takes to build a birdhouse with the second activity on using equations with proportional relationships. The resource uses examples such as birdhouse building and produce prices to encourage pupils to write...
EngageNY
Equations of Graphs of Proportional Relationships Involving Fractions
The 15th segment in a series of 22 uses examples that present proportional relationships with fractions. Pupils work through the problems and discover that the process is the same as it is with whole number values. Graphing the...
EngageNY
Identifying Proportional and Non-Proportional Relationships in Tables 2
Not all relationships with a pattern are proportional. Show your class why in the fourth installment of a 22-part series. The lesson builds upon previous parts and has pupils analyze tables to determine whether they represent a...
EngageNY
Identifying Proportional and Non-Proportional Relationships in Graphs 2
Work together to find proportional relationships. The sixth portion of the 22-part unit is a collaborative exercise. Teams work with given representations of relationships and determine if they are proportional by creating tables and...
EngageNY
An Experience in Relationships as Measuring Rate
Compare the ratio of genders in classes with a activity that revisits ratio terminology. After finding the ratio of boys and girls, the class then finds the time it takes to pass out papers and determines the associated rates.
Curated OER
Anolis Lizards of the Greater Antilles
Students "take a trip" to the Greater Antilles to observethe Anolis lizards. They study the body structures and habitat of different species, then plot this data on a map to look for patterns in their distribution. From the patterns they...
Curated OER
Locating Patterns of Volcano Distribution
Students examine patterns of volcanic distribution worldwide, use tables to plot and label location of each volcano on map, lightly shade areas where volcanoes are found, and complete open-ended worksheet based on their findings.
Curated OER
Middle School Math
Students participate in a unit that introduces them to solving problems that is introductory to algebra. They look at positive and negative numbers on the number line and practice solving problems using the distributive property.
Curated OER
Compatible numbers to 20
Students practice theories dealing with equals sign used as a balance, inequality symbols and practice utilizing a box or some other geometric shape to represent an unknown number. They assess numeracy problems embedded in language-rick...
Curated OER
Binary Operations
In this binary operations worksheet, 7th graders solve and complete 12 different problems that include various types of binary operations. First, they determine if the operation used is commutative. Then, students name the identity...
Curated OER
Equations and Inequalities: Properties
In this equations and inequalities worksheet, students complete 3 multiple choice questions testing their knowledge of various properties of the real number system.
Curated OER
Working with Percentages
Students complete basic operations using percentages in a variety of real world situations. Discounts are computed and compared to a variety of prices listed in local newspaper advertisements.
Curated OER
The Stock Market
Students explore the loss and gain made in the stock market as they invest a sum of money and report the results as percentages instead of points.
Curated OER
Chapter 11 Objective 5.1 Exercises
For this translating worksheet, students read word sentences, translate them to number sentences and solve the equation. This one-page worksheet contains ten problems.
Curated OER
Chapter 4 - Objective 8.1 - Story Problems
In this story problem worksheet, students determine necessary information, write equations and solve the problem. This one-page worksheet contains eight problems dealing with cost, minimum and maximum values.
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