Lesson Plan
Illustrative Mathematics

Introduction to Linear Functions

For Teachers 7th - 9th Standards
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
Lesson Plan
Illustrative Mathematics

Converting Decimal Representations of Rational Numbers to Fraction Representations

For Teachers 7th - 9th Standards
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of...
Lesson Plan
Illustrative Mathematics

The Napping House

For Teachers Pre-K - 1st Standards
How many people and animals can cram into a single bed? Find out with this cross-curricular math and language arts lesson. Following along with a reading of the children's book The Napping House by Audrey Wood, young mathematicians...
Lesson Plan
EngageNY

Modeling with Polynomials—An Introduction (part 2)

For Students 10th - 12th Standards
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
Lesson Plan
Statistics Education Web

NFL Quarterback Salaries

For Students 9th - 12th Standards
Use statistics to decide if NFL quarterbacks earn their salaries! Learners study correlation coefficients after using technology to calculate regression equations. Through the data, they learn the meaning of correlation and correlation...
Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a lesson plan that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the...
Lesson Plan
EngageNY

Existence and Uniqueness of Square Roots and Cube Roots

For Students 8th Standards
Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...
Lesson Plan
Virginia Department of Education

Solving and Graphing Inequalities

For Students 8th Standards
You can't go wrong with a lesson that involves candy! Learners solve and graph one-variable inequalities and use candy to graph the solution. Individuals associate open circle graphs with life savers and closed circle graphs with round...
Lesson Plan
EngageNY

Part of a Whole as a Percent

For Teachers 7th Standards
Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...
Lesson Plan
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Curated OER

Linear and Quadratic System

For Teachers 9th - 12th Standards
Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.
Lesson Plan
Curated OER

The Canoe Trip, Variation 2

For Teachers 9th - 12th Standards
The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...
Lesson Plan
Curated OER

US Households

For Teachers 9th - 12th Standards
Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.
Lesson Plan
Curated OER

Doubling Your Money

For Teachers 9th - 12th Standards
Your young financial geniuses explore the Rule of 70 as they analyze the exponential function that models the doubling time of investments.
Lesson Plan
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Teach Engineering

Balsa Glider Competition

For Teachers 5th - 7th Standards
Change one variable and try again. Teams build basic balsa gliders and collect data on their flight distances and times. Through collaboration, the team decides on two modifications to make to the basic design and collect data for the...
Lesson Plan
Illustrative Mathematics

Reasoning about Multiplication and Division and Place Value, Part 2

For Teachers 5th - 7th Standards
The learner puts reasoning and estimation to work. The directions are to place a decimal in the answer to make the equation true. Pupils are to look at the two problems, one multiplication and one division, and estimate an answer. No...
Lesson Plan
Illustrative Mathematics

Finding an Unknown Angle

For Teachers 4th - 6th Standards
Teach your class how to apply their knowledge of geometry as they explore the unknown. In order to find an unknown angle, learners must understand that rectangles have four interior right angles, that right angles have 90 degrees, and...
Lesson Plan
EngageNY

Searching a Region in the Plane

For Students 9th - 12th Standards
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Lesson Plan
EngageNY

Analyzing a Graph

For Teachers 9th - 10th Standards
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 
Lesson Plan
EngageNY

Modeling Linear Relationships

For Teachers 8th Standards
Math modeling is made easy with the first installment of a 16-part module that teaches pupils to model real-world situations as linear relationships. They create graphs, tables of values, and equations given verbal descriptions.
Lesson Plan
Beyond Benign

Green"er" Precipitation Reaction

For Students 9th - 12th
All sodium carbonate may not have the same amount of carbonate, but it should have the same percent. Learners write and balance an equation to predict the chemical reaction between sodium carbonate and zinc acetate. Through the lab...
Lesson Plan
Curated OER

Profit of a Company

For Teachers 9th - 12th Standards
Your business executives choose which of three equivalent forms of a quadratic equation is the most useful for finding various pieces of information in this task centered on a company's profits.
Lesson Plan
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Curated OER

Linear Functions

For Teachers 9th - 12th Standards
Your learners will explore linear functions by analyzing a graph of the linear equations.Then learners analyze through calculating f(x+P) and g(x+p)
Lesson Plan
Virginia Department of Education

Transformationally Speaking

For Teachers 8th - 10th Standards
Young mathematicians explore transformations of graphs by graphing sets of functions on the same pair of axes. They use their graphs to determine the effect that the values of a and b in y = ax + b have on the graph of y = x.
Lesson Plan
Virginia Department of Education

Slippery Slope

For Teachers 7th - 10th Standards
Explore slope using geometric patterns. Young mathematicians investigate towers built from cubes to develop a linear pattern. They move the data to a coordinate plane to connect the pattern to slopes.