Mathematics Vision Project
Module 3: Arithmetic and Geometric Sequences
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...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
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...
Mathematics Vision Project
Module 2: Systems of Equations and Inequalities
The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...
Curated OER
Multiple Representations
Every topic or subject has its own special jargon. Learners work on their math vocabulary as it relates to basic algebra terms. They define and identify function, functional notation, ordered pairs, rate of change, slope,...
Utah Education Network (UEN)
Simplifying Algebraic Expressions
Sixth and seventh graders explore the concept of simplifying algebraic expressions. They review the order of operations and apply properties to simplify and compare them. The author suggests using a "Boxes Game" as a motivator to get...
EngageNY
Multiplying Polynomials
There's only one way to multiply, right? Not when it comes to polynomials. Reach each individual by incorporating various representations to multiplying polynomials. This lesson approaches multiplying polynomials from all angles. Build...
Illustrative Mathematics
Logistic Growth Model, Abstract Version
Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense activity. Moving...
Curated OER
Concepts, Patterns, Formulas, Substitution
In this algebra lesson, students define algebraic terms and rewrite them using math symbols. There are 10 problems drawing correlations to geometry as well as algebra.
Curated OER
Using Algebra to Solve Puzzles
Young scholars explore basic algebraic operations to solve real life situations. Additional problems are presented to continue the exploration of the concept.
EngageNY
Representing, Naming, and Evaluating Functions (Part 1)
Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range.
West Contra Costa Unified School District
Arithmetic Series
Fall for a series. Learners determine how to find out how far a skydiver falls in the first 20 seconds. The Algebra II lesson introduces the idea of adding up the terms of an arithmetic sequence. Pupils learn how to use Sigma notation to...
EngageNY
Estimating Centers and Interpreting the Mean as a Balance Point
How do you balance a set of data? Using a ruler and some coins, learners determine whether the balance point is always in the middle. Through class and small group discussions, they find that the mean is the the best estimate of the...
EngageNY
Comparing Distributions
Data distributions can be compared in terms of center, variability, and shape. Two exploratory challenges present data in two different displays to compare. The displays of histograms and box plots require different comparisons based...
EngageNY
Recursive Challenge Problem—The Double and Add 5 Game
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.
EngageNY
Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways
Need a real scenario to compare functions? This lesson has it all! Through application, individuals model using different types of functions. They analyze each in terms of the context using the key features of the graphs.
West Contra Costa Unified School District
Talking About Distance, Rate and Time
Connect the tortoise and the hare fable to mathematics. Learners first identify key terms related to distance, rate, and time. They then solve distance/rate/time problems using different representations.
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas from...
Curated OER
Algebraic Substitution for Electric Circuits
In this physics worksheet, students use Ohm's law to solve for voltage, current and resistance. They answer 13 problem solving questions using Ohm's law.
EngageNY
Linear Equations in Disguise
In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...
CK-12 Foundation
Factorization of Quadratic Expressions: Boxes for Factoring
Create rectangles from the terms of a trinomial. The interactive provides virtual algebra tiles for participants to use to create quadratic trinomials. Pupils use the tiles and arrange them into a rectangle to find the factors of the...
Virginia Department of Education
Balanced
Bring balance to your lesson plans with an activity that asks individuals to solve one-step linear equations with inverse operations. Balance scales help learners understand the concept of isolating the variable.
Kenan Fellows
Dinner Party: Using Pattern Trains to Demonstrate Linear Functions
Nothing fancy here ... just your run-of-the-mill Algebra party! Learners explore the patterns of linear functions while designing seating arrangements for a dinner party. Comparing the number of tables to the perimeter of the combined...
Virginia Department of Education
Mathematics Vocabulary Cards - Grade 5
Elevate your fifth graders' understanding of math concepts with a series of vocabulary posters. Featuring terms concerning probability and statistics, measurement, algebra, and decimal place value (and many more), the posters are sure to...