Mathematics Vision Project
Module 6: Quadratic Functions
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
Mathematics Vision Project
Module 10: Matrices Revisited
A matrix is just a fancy way of making a table. Young scholars explore operations with matrices with the first lessons in the final module of a 10-unit Algebra II series. After adding, subtracting, and multiplying matrices, pupils use...
Mathematics Vision Project
Module 2: Logarithmic Functions
You can't build a fire with these logs! Filled with hands-on investigations, a complete logarithmic unit offers both instruction and practice. Learners first build an understanding of the new function, then explore properties before...
Mathematics Vision Project
Module 5: Systems of Equations and Inequalities
Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...
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 5: Features of Functions
The language and features of functions get careful treatment in a complex but doable lesson. Learners get a lot of practice really figuring out what a graph means in context, and also identifying key features of graphs. Key ideas like...
EngageNY
Modeling Video Game Motion with Matrices 2
The second day of a two-part lesson plan on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the...
Mathematics Vision Project
Module 7: Structure of Expressions
The structure of an expression is a descriptive feature. Learners build a solid understanding of quadratic functions using an analysis of expressions in different forms. The seventh module in a series of nine includes 12 lessons...
Mathematics Vision Project
More Functions, More Features
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
Mathematics Vision Project
Equations and Inequalities
Help learners get their facts in line to build and solve complicated linear equations and inequalities. Pupils build upon their knowledge of solving basic equations and inequalities to solve more complex ones. Individuals work with...
Virginia Department of Education
Graphing Linear Equations
Combine linear equations and a little creativity to produce a work of art. Math scholars create a design as they graph a list of linear equations. Their project results in a stained glass window pattern that they color.
Curated OER
Conserving Fuel
In this conserving fuel worksheet, 7th graders solve and complete 4 different word problems that include measurement and total cost of products. First, the determine the gas station described that has the lowest price of gasoline. Then,...
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...
EngageNY
Exploring the Symmetry in Graphs of Quadratic Functions
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The instructional activity begins with the vocabulary of a quadratic...
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.
EngageNY
Interpreting Residuals from a Line
What does an animal's gestation period have to do with its longevity? Use residuals to determine the prediction errors based upon a least-square regression line. This second lesson on residuals shows how to use residuals to create a...
EngageNY
Relationships Between Two Numerical Variables
Is there another way to view whether the data is linear or not? Class members work alone and in pairs to create scatter plots in order to determine whether there is a linear pattern or not. The exit ticket provides a quick way to...
EngageNY
Describing the Center of a Distribution
So the mean is not always the best center? By working through this exploratory activity, the class comes to realize that depending upon the shape of a distribution, different centers should be chosen. Learners continue to explore the...
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...
Curated OER
Evaluating Expressions Using Tiles
Sixth graders are shown a variety of algebraic equations. In groups, they use tiles to represent each expression in the equations. To end the instructional activity, they solve story problems with one and two unknown variables....
Utah Education Network (UEN)
Real World Equations and Inequalities
Use of the resource = Opportunities for increased learning. Learners must use equations and inequalities to solve real-world and geometric problems.
Curated OER
Two-Step Equations
Sixth graders work through a two-step equation with their teacher. After reviewing one-step equations, they complete a worksheet using tiles and colored pencils to complete two-step equations. To end the lesson, they write out the step...
Curated OER
Two Step Equations
Sixth graders solve multiple step math problems. In this problem solving lesson, 6th graders practice following step by step instructions such as making cookies or building a snowman. Students use algebra tiles and draw pictures to solve...
Curated OER
Constructing Tangrams
Sixth graders are introduced to how geometry and algebra are related. In groups, they graph various points on a coordinate plane and write the ordered pair for each quadrant. Using this information, they create their own tangrams to...