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Instructional Video9:11
Corbett Maths

Algebraic Proof

For Students 8th - 12th Standards
Proofs do not exist only in geometry. The video shows the class different ways that proofs appear in algebra. Pupils work through a variety of algebraic proofs involving the divisibility of an algebraic expression or whether it is even...
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Instructional Video16:33
2
2
Flipped Math

More with Proofs

For Students 9th - 12th Standards
Proofs may be as easy as 1, 2, 3 ... maybe. Pupils participate in creating four example proofs. The presentation uses a list of geometric properties to develop the proofs by filling in both the statements and reasons. Scholars practice...
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Instructional Video22:15
2
2
Flipped Math

Intro to Proofs

For Students 9th - 12th Standards
Prove the best way to keep up in Geometry. Scholars first review algebraic properties from Algebra. Learners then use the properties to create two-column proofs to solve linear equations before completing algebraic proofs by providing...
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Assessment
Mathed Up!

Proof

For Students 9th - 12th Standards
Scholars learn how to write number theory proofs by viewing a video reviewing techniques for proofs on divisibility, parity, and consecutive integers. They then write proofs for a handful of conjectures on a worksheet.
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Instructional Video6:57
2
2
Flipped Math

Unit 2 Review: Reasoning and Proofs

For Students 9th - 12th Standards
The proof is in the review. Individuals watch a short review of the content from the unit to prepare for the unit exam. The review covers inductive reasoning, conditional and related statements, and two-column algebraic and geometric...
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Lesson Plan
West Contra Costa Unified School District

Simplify Expressions and Solve Equations Using Two-Column Proofs

For Students 8th - 10th Standards
Increase understanding of the algebraic properties and their importance. Scholars justify their steps as they simplify expressions and solve equations. They formalize their work as two-column proof.
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Instructional Video0:53
Corbett Maths

Angles in the Same Segment – Proof

For Students 8th - 12th Standards
If angles intercept the same arc, the angles must be the same size. The quick video talks through the proof of showing the reason two inscribed angles that intersect the same arc have the same measurement. Pupils then create their own...
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Lesson Plan
EngageNY

Proof of the Pythagorean Theorem

For Teachers 8th Standards
What does similarity have to do with the Pythagorean Theorem? The activity steps through the proof of the Pythagorean Theorem by using similar triangles. Next, the teacher leads a discussion of the proof and follows it by an animated...
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Worksheet
Curated OER

Algebraic Proofs for Repeated Digits

For Students 10th - Higher Ed
In this proof worksheet, students write two proofs for why they get repeated digits when following a series of math operations.  The solutions are provided.
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Unit Plan
Mathematics Vision Project

Geometric Figures

For Teachers 10th - 12th Standards
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
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Lesson Plan
2
2
EngageNY

Algebraic Expressions—The Commutative and Associative Properties

For Students 9th - 10th Standards
Who says math is boring? Turn dry concepts like properties and vocabulary into an interesting lesson! Examine the commutative and associative properties of addition and multiplication using geometric reinforcement. Through collaboration,...
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Worksheet
Curated OER

Using Proof in Algebra

For Students 8th - 9th Standards
In this using proofs in algebra worksheet, learners solve ten different problems related to solving proofs. First, they name the property of equality that justifies each statement given. Then, students complete each proof by naming the...
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eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
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Printables
Chapman University

A Pythagorean-Style Proof of the Sine Sum-of-Angles Formula

For Teachers 10th - 12th
This well organized poster shows a step-by-step algebraic proof and related graphic. Understanding how formulas were derived, connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also...
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Unit Plan
Mathematics Vision Project

Connecting Algebra and Geometry

For Teachers 9th - 10th Standards
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates including...
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Handout
Shmoop

Coordinate Proofs

For Students 8th - 11th Standards
How do you know you know? Prove it! The guide goes through several examples and includes a link to a video to teach learners how to work through coordinate proofs. The goal is to prove that different shapes are indeed that shape. 
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Lesson Plan
1
1
EngageNY

Graphing Systems of Equations

For Students 10th - 12th Standards
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems. 
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Lesson Plan
EngageNY

Trigonometric Identity Proofs

For Teachers 10th - 12th Standards
Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...
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Worksheet
Geometry Accelerated

Accelerated Geometry Review Sheet

For Students 8th - 10th Standards
Your geometry learners use their knowledge of various geometric concepts to write proofs. Starting with givens containing parallel line segments with transversals and triangles and quadrilaterals, and the mid-point and distance formulas;...
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Unit Plan
Mathematics Vision Project

Module 6: Congruence, Construction, and Proof

For Teachers 8th - 10th Standards
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
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Activity
5280 Math

Multiplication Table Algebra

For Teachers 8th - 12th Standards
Patterns, patterns, everywhere! Young scholars examine the multiplication table to identify patterns. Their exploration leads to an understanding of the difference of squares and sum of cubes by the completion of the algebra project.
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Worksheet
Curated OER

Four Algebraic Proof Charts

For Students 8th - 10th
In this proof chart worksheet, learners are given an equation and asked to solve for the unknown and to justify the steps by filling in the proof using math properties.  The worksheet contains four problems presented as proof charts.
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Worksheet
West Contra Costa Unified School District

Derivation of the Quadratic Formula

For Students 9th - 11th Standards
What connection does the quadratic formula have with a quadratic equation? Using a matching activity, pupils construct the algebraic derivation of the quadratic formula in this Algebra II lesson task. The task provides two variations of...
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Lesson Plan
Curated OER

Proof of Identity

For Teachers 9th - 12th Standards
Students explore trigonometric identities.   In this Algebra II lesson, students use graphing to verify the reciprocal identities.  Using Cabri Jr, students investigate the Pythagorean trigonometric identities and the geometric c proofs...

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