Unit Plan
Mathematics Vision Project

Module 1: Sequences

For Teachers 9th - 10th Standards
Take steps into sequences. An 11-lesson unit builds upon pupils' previous understanding of writing expressions to develop the idea of sequences. The resource explores both arithmetic and geometric sequences using recursive and explicit...
Lesson Plan
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Illustrative Mathematics

Toilet Roll

For Teachers 9th - 11th Standards
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a...
Unit Plan
Mathematics Vision Project

Module 4: Linear and Exponential Functions

For Teachers 8th - 10th Standards
Sequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...
Lesson Plan
EngageNY

Recursive Challenge Problem—The Double and Add 5 Game

For Teachers 9th - 10th Standards
Math is all fun and games! Use a game strategy to introduce the concept of sequences and their recursive formulas. The activity emphasizes notation and vocabulary.
Lesson Plan
Virginia Department of Education

Growing Patterns and Sequences

For Teachers 6th - 7th Standards
Learners explore, discover, compare, and contrast arithmetic and geometric sequences in this collaborative, hands-on activity. They build and analyze growing patterns to distinguish which kind of sequence is represented by a set of data...
Activity
Math Solutions

Dr. Seuss Comes to Middle School Math Class

For Teachers 6th - 8th Standards
If you think Dr. Seuss has no place in a math classroom, then take a look at this resource. Based on the classic children's book Green Eggs and Ham, this sequence of activities engages children learning to model real-world contexts...
Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 1)

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations — show your class the difference. The first instructional activity in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear...
Lesson Plan
Mathematics Assessment Project

Generating Polynomials from Patterns

For Teachers 9th - 12th Standards
Patterns and polynomials go hand in hand. Budding mathematicians analyze sequences of dot diagrams to discover the patterns in the number of white dots and black dots. They use the identified patterns to write and simplify a polynomial...
Worksheet
Math Stars

Math Stars: a Problem-Solving Newsletter Grade 7

For Students 6th - 9th Standards
Put on your thinking caps because middle school math has never been more interesting in this huge resource full of thought provoking questions. Written as a newsletter, the resource has 10 two-page newsletters with a variety of...
Lesson Plan
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Curated OER

Seeing Dots

For Teachers 9th - 12th Standards
Your algebra learners interpret algebraic expressions, in order to compare their structures, using a geometric context. They also discern how the two expressions are equivalent and represent a pattern geometrically and algebraically.
Lesson Plan
West Contra Costa Unified School District

Point-Slope Application Problems

For Teachers 8th - 10th Standards
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
Lesson Plan
EngageNY

When Can We Reverse a Transformation? 3

For Teachers 11th - 12th Standards
When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third lesson on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous two lessons....
Lesson Plan
National Security Agency

Multiple Representations of Limits

For Students 11th - 12th Standards
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a...
Lesson Plan
Odell Education

Similar Triangles

For Teachers 9th - 11th Standards
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
Worksheet
Math Stars

Math Stars: a Problem-Solving Newsletter Grade 8

For Students 7th - 9th Standards
You've just hit the jackpot of integrating math problems and riddles with this jumbo-sized resource! Written as a newsletter, scroll through 35 pages of puzzles and quality problems to engage and encourage your learners to inquire...
Lesson Plan
West Contra Costa Unified School District

Sneaking Up on Slope

For Teachers 8th - 10th Standards
Pupils determine the pattern in collinear points in order to determine the next point in a sequence. Using the definition of slope, they practice using the slope formula, and finish the activity with three different ways to...
Lesson Plan
EngageNY

Why Stay with Whole Numbers?

For Teachers 9th - 10th Standards
Domain can be a tricky topic, especially when you relate it to context, but here is a lesson plan that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin...
Lesson Plan
Odell Education

Inductive and Deductive Reasoning

For Teachers 9th - 11th
Introduce pupils to the two types of reasoning, inductive and deductive. Classmates work in pairs or small groups to learn the difference between the two and apply these reasonings to develop valid conclusions.
Lesson Plan
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Curated OER

Skeleton Tower

For Teachers 9th - 12th Standards
Your algebra learners build a quadratic function in this task of counting the blocks used to build objects. The arithmetic sequence that shows up brings up a shortcut to the long addition using the Gauss Method. Eventually, learners...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Activity
Curated OER

Triangle Series

For Teachers 9th - 12th Standards
Your algebra learners emphasize the"geometric" in geometric series as they use a common ratio between algebraic terms and find that it corresponds to a repeated similarity transformation. 
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...
Lesson Plan
EngageNY

Interpreting the Graph of a Function

For Students 9th - 10th Standards
Groups sort through NASA data provided in a graphic to create a graph using uniform units and intervals. Individuals then make connections to the increasing, decreasing, and constant intervals of the graph and relate these...
Lesson Plan
EngageNY

Are All Parabolas Congruent?

For Students 10th - 12th Standards
Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix.