Assessment
EngageNY

Mid-Module Assessment Task - Algebra 1 (Module 3)

For Teachers 9th - 10th Standards
Having trouble finding performance task questions? Here is an assessment that uses all high-level thinking questions. It includes questions to assess sequences, linear functions, exponential functions, and increasing/decreasing intervals.
Lesson Plan
EngageNY

Interpreting Quadratic Functions from Graphs and Tables

For Students 9th - 10th Standards
Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...
Lesson Plan
EngageNY

Modeling a Context from a Verbal Description (part 1)

For Teachers 9th - 10th Standards
When complicated algebraic expressions are involved, it is sometimes easier to use a table or graph to model a context. The exercises in this lesson are designed for business applications and require complex algebraic...
Assessment
EngageNY

End-of-Module Assessment Task - Algebra 1 (Module 4)

For Students 9th - 10th Standards
Critical thinking is an important aspect of mathematics — it's time to put your brain to work! Use this assessment to challenge pupils and test their skills. Concepts assessed include function notation, factoring, completing the square,...
Lesson Plan
West Contra Costa Unified School District

Comparing Rational Functions and Simplified Functions

For Teachers 10th - 12th Standards
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order...
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 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 process...
Lesson Plan
Willow Tree

Linear Relationships

For Students 8th - 11th Standards
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Lesson Plan
West Contra Costa Unified School District

Comparing Linear and Quadratic Functions

For Teachers 8th - 10th Standards
If a linear function and a quadratic function enter a boxing match, which one would win? Learners first review how to find key features of linear and quadratic functions. Next, they compare key features of pairs of functions.
Worksheet
Curated OER

Function Tables

For Students 5th
In this function table activity, 5th graders solve and complete 10 different function tables shown. First, they determining the ordered pairs in each table. Then, students use number patterns to complete each table filling in the output...
Lesson Plan
Curated OER

Representation of Quadratic Functions

For Teachers 8th - 10th
Students use a table, graph or equation to represent a quadratic function. In this algebra instructional activity, students model and graph with quadratic function. They become comfortable representing quadratics using...
Lesson Plan
Utah Education Network (UEN)

Linear Relationships: Tables, Equations, and Graphs

For Teachers 7th - 8th Standards
Pupils explore the concept of linear relationships. They discuss real-world examples of independent and dependent relationships. In addition, they use tables, graphs, and equations to represent linear relationships. They also use ordered...
Lesson Plan
Curated OER

Algebra 1

For Teachers 8th - 10th
Students study the functional relationships of a variety of problems. In this functional relationship instructional activity, students determine the dependent and independent quantities of a given set of data. Students record...
Lesson Plan
Curated OER

Linear Piecewise Functions

For Teachers 10th - 12th
Students explore the concept of piecewise functions. In this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students write...
Worksheet
Curated OER

Exploration 1: Instantaneous Rate of Change Function

For Students 11th - 12th
In this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
Lesson Plan
Curated OER

Making Money and Spreading the Flu!

For Teachers 9th - 11th Standards
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...
Lesson Plan
EngageNY

Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways

For Students 9th - 10th Standards
Need a real scenario to compare functions? This activity 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. 
Lesson Plan
EngageNY

The Height and Co-Height Functions of a Ferris Wheel

For Students 10th - 12th Standards
Show learners the power of mathematics as they model real-life designs. Pupils graph a periodic function by comparing the degree of rotation to the height of a ferris wheel. 
Unit Plan
Mathematics Vision Project

Module 8: More Functions, More Features

For Teachers 8th - 10th Standards
A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...
Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 2)

For Teachers 9th - 10th Standards
What happens to a function whose graph is translated horizontally? Groups find out as they investigate the effects of addition and subtraction within a function. This nineteenth lesson in a 26-part series focuses on horizontal...
Unit Plan
Mathematics Vision Project

Module 2: Logarithmic Functions

For Students 10th - 12th Standards
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...
Unit Plan
Mathematics Vision Project

Module 5: Rational Functions and Expressions

For Students 10th - 12th Standards
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
Unit Plan
Mathematics Vision Project

Module 3: Features of Functions

For Students 8th - 10th Standards
Learn how to represent functions in multiple ways. Learners analyze functions as equations, graphs, and verbal descriptions. The analysis includes intercepts, behavior, domain, and range. The module of seven lessons makes up the third...
Organizer
SHS Algebra

Linear vs. Exponential Functions Tasks

For Students 8th - 10th Standards
Your algebra learners will enjoy the real-life application of the three tasks presented here. They complete a table and a graph comparing the two options presented. One option is linear, while the other is exponential. After coming up...
Lesson Plan
Curated OER

What Functions do Two Graph Points Determine?

For Teachers 9th - 12th Standards
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.

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