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MARS - Mathematics Assessment Resource Service

Applying Properties of Exponents

For Teachers 7th - 9th Standards
The properties of exponents are all linked together and it is your mathematicians' job to discover and apply those rules. The comprehensive lesson plan begins with a pre-assessment task to check for prior knowledge and then goes into a...
Organizer
Blogger

Properties of Real Numbers

For Teachers 8th - 10th
Three tables, prepared for learners to write notes about the properties of real numbers, are squeezed onto one printable. The addition and multiplication of real numbers are the focus of the notes.
Lesson Plan
EngageNY

Informal Proofs of Properties of Dilations

For Teachers 8th Standards
Challenge the class to prove that the dilation properties always hold. The instructional activity develops an informal proof of the properties of dilations through a discussion. Two of the proofs are verified with each class member...
Lesson Plan
EngageNY

Basic Properties of Similarity

For Teachers 8th Standards
Does the symmetry and transitive property apply to similarity? The 10th segment in a series of 16 presents the class with a group of explorations. The explorations have pairs show that similarity is both symmetrical and transitive....
Activity
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Teach Engineering

Ranking the Rocks for Desired Properties

For Teachers 6th - 8th
Math rocks! Cavern design teams determine the rankings of rock types based upon desirability points. The points are connected to the properties of the rocks and their usefulness in building a cavern. 
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.
Lesson Plan
Geography 360°

Exponents

For Students 7th - 10th Standards
Don't let the rules overrule the lesson. Mental math steps in and helps learners understand exponent patterns. The material focuses on the introductory problems of exponents, such as simplifying expressions. Teacher guides are...
Lesson Plan
EngageNY

Classification of Solutions

For Teachers 8th Standards
Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions...
Lesson Plan
EngageNY

Modeling Using Similarity

For Teachers 8th Standards
How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...
Unit Plan
Education Development Center

Language of Algebra

For Teachers 5th - 8th Standards
Don't rush into algebra, let learners visualize, guess, and predict their way to a successful math career. The introductory unit incorporates beginner algebraic concepts with shapes instead of variables. Young mathematicians use a...
Lesson Plan
Illustrative Mathematics

Guess My Number

For Teachers 7th - 9th Standards
Make a game out of solving equations. This particular activity works well for pairs of learners. Follow the instructions to have player one pick a number and player two verbally give an equation. Participants need to make sense of a...
Unit Plan
Mathematics Vision Project

Module 3: Arithmetic and Geometric Sequences

For Teachers 8th - 10th Standards
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
Lesson Plan
National Security Agency

A Balancing Act: Solving Multi-Step Equations

For Teachers 6th - 8th Standards
Wow! Put on that thinking cap and solve multi-step equations. To solve equations, learners review the use of the distributive property and combining like terms. This three-day lesson comes with about 20 pages of worksheets, warm-ups,...
Lesson Plan
Mathematics Assessment Project

Identifying Similar Triangles

For Teachers 7th - 9th Standards
Math whizzes work with angle sums and exterior angles to figure out the measure of other angles. This particular publication provides comprehensive support in the form of an anticipatory activity, questions designed to prompt discussion,...
Unit Plan
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Virginia Department of Education

Exploring 3-D Geometry

For Teachers 6th - 8th Standards
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...
Unit Plan
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EngageNY

Congruence, Proof, and Constructions

For Teachers 8th - 10th Standards
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs.  Each of the almost-forty lessons...
Activity
Curated OER

Task: Range of Motion

For Teachers 7th - 10th Standards
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
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 Plan
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Mathematics Vision Project

Module 7: Connecting Algebra and Geometry

For Teachers 8th - 10th Standards
The coordinate plane links key geometry and algebra concepts in this approachable but rigorous unit. The class starts by developing the distance formula from the Pythagorean Theorem, then moves to applications of slope. Activities...
Activity
Education Development Center

Making Sense of Unusual Results

For Students 6th - 8th Standards
Collaboration is the key for this equation-solving lesson. Learners solve a multi-step linear equation that requires using the distributive property. Within collaborative groups, scholars discuss multiple methods and troubleshoot mistakes.
Worksheet
Mt. San Antonio Collage

Postulates, Angles, and Their Relationships

For Students 8th - 11th Standards
More than a worksheet, learners go through geometry topics example by example on the nicely organized handout. From postulates to classifying angles, there are rules and examples provided for each topic. The ten pages of problems...
Activity
Education Development Center

Extending Patterns with Exponents

For Teachers 8th - 9th Standards
Don't think negatively about exponents. Young mathematicians dissect a fictional conversation between pupils trying to evaluate an expression with a negative exponent. This allows them to understand the meaning of negative exponents.
Unit Plan
Partnership for Educating Colorado Students

Mayan Mathematics and Architecture

For Teachers 4th - 8th Standards
Take young scholars on a trip through history with this unit on the mathematics and architecture of the Mayan civilization. Starting with a introduction to their base twenty number system and the symbols they used, this eight-lesson unit...
Unit Plan
EngageNY

Relationships Between Quantities and Reasoning with Equations and Their Graphs

For Teachers 6th - 10th Standards
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...

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