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.
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...
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...
Lesson Plan
Virginia Department of Education

Congruent Triangles

For Teachers 9th - 11th Standards
Is this enough to show the two triangles are congruent? Small groups work through different combinations of constructing triangles from congruent parts to determine which combinations create only congruent triangles. Participants use the...
Lesson Plan
Curated OER

Preparation and Transition to Two-Column Proofs

For Teachers 10th - 11th
Students investigate proofs used to solve geometric problems. In this geometry lesson, students read about the history behind early geometry and learn how to write proofs correctly using two columns. The define terminology valuable to...
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...
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...
Worksheet
Curated OER

Verifying Segment Relationships

For Students 10th
In this verifying segment relationships worksheet, 10th graders solve two proofs by following the same format used in algebra. They complete each of two proofs by naming the property that justifies each statement given. Students also...
Lesson Plan
Curated OER

Logic and Proof Writing

For Teachers 9th - 10th
Students define inductive and deductive reasoning and write two column proofs. In this geometry instructional activity, students analyze arguments and draw conclusion. They define steps necessary to arrive at the correct answer when...
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...
Activity
1
1
Curated OER

Geometry Project

For Students 9th - 12th Standards
Proofs are usually an intimidating assignment. An engaging lesson focused on geometric proofs may reduce the anxiety! Pupils choose between several triangle proofs to complete and work on completing them. The...
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.
Worksheet
Curated OER

Product + 1: Integers

For Students 9th - 12th
In this integers worksheet, students solve 1 word problem using proof.  Students prove their hypothesis of the result of multiplying four consecutive positive integers and adding one to the product.
Assessment
Inside Mathematics

Magic Squares

For Teachers 9th - 12th Standards
Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra. 
Lesson Planet Article
Curated OER

Help Young Mathematicians Write Their Way to Math Success

For Teachers 6th - 9th
Clear and concise writing should be an integral part of learning mathematics.
Handout
CK-12 Foundation

Ck 12: Geometry: Proofs Study Guide

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This study guide reviews proofs: algebraic proof, properties of congruence, and geometric proofs (two-column).