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Lesson Plan
Illustrative Mathematics

Peaches and Plums

For Teachers 7th - 9th Standards
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps students become intuitive about graphing. 
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Lesson Plan
2
2
Illustrative Mathematics

Equivalent Expressions

For Teachers 8th - 12th Standards
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
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Lesson Plan
Illustrative Mathematics

Ice Cream

For Teachers 9th - 12th Standards
Algebra learners can always relate to ice cream. In this case, a carton of ice cream has been at room temperature for t minutes. Given an expression for the temperature of the ice cream, it is up to your number crunchers to rearrange the...
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Lesson Plan
Illustrative Mathematics

Radius of a Cylinder

For Teachers 8th - 12th Standards
Here is a multiple choice question that would make a good assessment question. Algebra students are to look at the structure of the formula for a given radius of a cylinder and find the resulting radius when the height of the cylinder...
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Worksheet
Curated OER

Transforming Formulas

For Students 7th - 9th Standards
Solving for x is a classic algebra scenario. Now, solve for x when the other terms in the equation are variables. Isolate the correct variable and practice writing the equation first before solving. 
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Organizer
Super Teacher Worksheets

Prime and Composite

For Students 4th - 6th Standards
Factoring is an essential component in algebra, and this worksheet prepares learners with a quick reference guide and examples. After they find all the factors, they decipher whether the number is prime or composite.
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Assessment
Charleston School District

Pre-Test Unit 4: Linear Funcitons

For Students 8th Standards
Let your classes show you what they know! Use this pre-test to assess the current knowledge of your learners. The assessment includes all pre-algebra concepts related to functions: writing and graphing linear relationships, comparing...
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Assessment
Charleston School District

Pre-Test Unit 6: Systems

For Students 8th - 9th Standards
As if solving equations with an x isn't tricky enough, now they add a y, too? A pre-assessment gauges the knowledge of your classes related to systems. They are asked to solve graphically and algebraically and to solve word problems. 
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Lesson Plan
EngageNY

Lines That Pass Through Regions

For Students 9th - 12th Standards
Good things happen when algebra and geometry get together! Continue the exploration of coordinate geometry in the third lesson plan in the series. Pupils explore linear equations and describe the points of intersection with a given...
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Lesson Plan
EngageNY

Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities

For Students 9th - 12th Standards
When algebra and geometry get together, good things happen! Given a system of inequalities that create a quadrilateral, learners graph and find vertices. They then use the vertices and Green's Theorem to find the area and perimeter of...
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Lesson Plan
West Contra Costa Unified School District

The Extreme Value Theorem

For Teachers 11th - Higher Ed
Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
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Activity
Curated OER

Narrow Corridor

For Teachers 8th - 12th Standards
Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).
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Lesson Plan
Willow Tree

Linear Relationships

For Students 8th - 11th Standards
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
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Assessment
Mathematics Assessment Project

Bestsize Cans

For Students 9th - 11th Standards
Traditional calculus problem made simple. In the high school assessment task, learners determine the minimum surface area for a can of a given volume using algebraic and numerical methods to solve the problem. No calculus required.
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Assessment
Mathematics Assessment Project

Funsize Cans

For Students 9th - 11th Standards
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to solve...
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Assessment
Mathematics Assessment Project

Fearless Frames

For Students 7th - 9th Standards
Show class members how to connect algebra to geometry. A high school assessment task has pupils determine volumes of two different containers given limitations on material for box frames. Pupils then write a paragraph on advice people...
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Assessment
Mathematics Assessment Project

Temple Geometry

For Students 8th - 10th Standards
Temper your excitement of temple geometry. Using algebraic and geometry concepts to determine various measurements in a circle diagram, scholars determine the shaded area of the diagram.
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Assessment
Curated OER

Expressing Geometric Properties with Equations

For Students 9th - 11th Standards
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria. 
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Learning
2
2
Math in English

Thanksgiving MathDoku

For Students 4th - 8th Standards
Add a festive flare to a game of algebra Sudoku with a Thanksgiving themed math worksheet. 
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Lesson Plan
EngageNY

Complex Numbers as Vectors

For Teachers 11th - 12th Standards
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
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Assessment
Inside Mathematics

Vencent's Graphs

For Teachers 8th Standards
I like algebra, but graphing is where I draw the line! Worksheet includes three multiple-part questions on interpreting and drawing line graphs. It focuses on the abstract where neither axis has numbers written in, though both are...
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Assessment
1
1
Balanced Assessment

Transformation I

For Students 9th - 12th Standards
Rewriting expressions in different forms is an essential algebra skill. Support the development of this skill by using a task that asks scholars to begin with a linear, quadratic, and rational expression and then manipulate them into a...
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Lesson Plan
Virginia Department of Education

Linear Modeling

For Teachers 8th - 11th Standards
An inquiry-based algebra instructional activity explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...
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Activity
Noyce Foundation

Tri-Triangles

For Students K - 12th Standards
Develop an understanding of algebraic sequences through an exploration of patterns. Five leveled problems target grade levels from elementary through high school. Each problem asks young mathematicians to recognize a geometric pattern....

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