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Illustrative Mathematics
Points on a Graph
Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...
Virginia Department of Education
Composition of Functions
Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...
EngageNY
Formal Definition of a Function
Formalize the notion of a function. Scholars continue their exploration of functions in the second lesson of the module. They consider functions as input-output machines and develop function rules for selected functions.
EngageNY
The “WhatPower” Function
The Function That Shall Not Be Named? The eighth installment of a 35-part module uses a WhatPower function to introduce scholars to the concept of a logarithmic function without actually naming the function. Once pupils are...
Mathematics Vision Project
Module 2: Logarithmic Functions
Build a solid understanding of logarithmic functions and equations. Five lessons in the module begin by developing the concept of a logarithm. The next lessons address graphing logarithmic functions, logarithmic properties, and solving...
Curated OER
Linear Modeling: Functions
Students analyze linear functions. In this algebra lesson plan, students create a linear model to relate coordinate pairs. They evaluate and solve equations.
Achieve
Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
EngageNY
Why Stay with Whole Numbers?
Domain can be a tricky topic, especially when you relate it to context, but here is a lesson that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin and...
Curated OER
Strong Arm Iteration
Young scholars solve exponential functions and inequalities. In this algebra instructional activity, students find the roots of equations and use it to graph and evaluate exponential functions. They simplify exponents using the law of...
EngageNY
From Circle-ometry to Trigonometry
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
Curated OER
Exponents
Ninth graders solve problems involving exponential functions. For this algebra lesson, 9th graders apply their knowledge of exponential properties to add, multiply, divide and subtract exponential functions. They perform these operations...
EngageNY
Recursive Formulas for Sequences
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a instructional activity that uses what class members know about explicit formulas to develop an...
Virginia Department of Education
Average Atomic Masses
Facilitate learning by using small objects to teach the principles of atomic mass in your science class. Pupils determine the average mass of varying beans as they perform a series of competitive experiments. They gather data and...
Curated OER
Polynomial Divisions
Students factor polynomials and use long division t solve problems. In this algebra lesson, students find the zeros of polynomials by synthetic and long division. They perform operation using complex numbers.
Curated OER
Geometric Probablitiy: Spinners and Dartboards
Slearners explore and analyze the properties of geometric areas. In this geometry activity, sstudents use technology to simulate spinners and dartboards in order to fing areas of circles and sectors of circles and compare and...