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...
Shodor Education Foundation
Function Machine
Machines can be so helpful sometimes. A simple interactive has learners enter input values for a function machine and observe output values. These values help determine a function that represents the input-output relationship in the...
Illustrative Mathematics
Checking a calculation of a decimal exponent
In a writing prompt, learners are asked to check the calculation of a decimal exponent without a calculator. Use as an opener or assessment after studying fractional exponents. Requires a strong understanding of exponents and roots to...
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Curated OER
Accurately Weighing Pennies I
Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.
Curated OER
Mixing Fertilizer
Your young landscapers do concentration calculations in this problem dealing with mixing fertilizer. Learners use and analyze rational expressions within this context.
Curated OER
Latitude
Your young geologists generate a graph given a table of values from the context of latitude and percent of the earth's surface north of that latitude. The questions in the activity then focus the learners to a deeper understanding of the...
Mathematics Assessment Project
Maximizing Area: Gold Rush
Presenting ... the gold standard for a lesson. Learners first investigate a task maximizing the area of a plot for gold prospecting. They then examine a set of sample student responses to evaluate their strengths and weaknesses.
Curated OER
Introduction to Linear Functions
Students are introduced to the basic ideas needed for understanding linear functions.
Curated OER
Functions and the Vertical Line Test
Students explore the concept of functions. In this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.
Curated OER
Describing Patterns
Fourth graders investigate repeating and growing patterns. Models, graphs and words are used to describe, extend and represent patterns. Students use evidence from models and graphs to support the identification of patterns.
Curated OER
Clock Arithmetic and Cryptography
Learners investigate modular clock arithmetic and cryptography. They perform basic operations in modular (clock) arithmetic and encode and decode messages using simple shift and affine ciphers.
Curated OER
Clock Arithmetic and Cryptography
Students explore the concept of modular arithmetic and cryptography. In this modular arithmetic and cryptography lesson plan, students use applets to explore modular arithmetic using a clock and Caesar Ciphers. Students exchange their...
Curated OER
Modular Arithmetic
Students investigate modular arithmetic and how to use it to solve real world problems. In this modular arithmetic lesson, students use computers to work on modular arithmetic after a teacher guided lesson. They complete guided practice...
Curated OER
Properties
Seventh graders explore the concept of properties. For this properties lesson, 7th graders discuss the various math properties including the commutative, associative, distributive, multiplication properties and so on. Students create...
Curated OER
Food Pyramid Power
Students investigate patterns in the Food Pyramid. In this patterns in the Food Pyramid lesson, students sort food into different food groups. Students make patterns with food from different food groups. Students...
Curated OER
Graphing Linear Inequalities
Eighth graders extend skills for representing and solving linear equations to linear inequalities. Lesson activities build understanding and skill by plotting ordered pairs of numbers that either satisfy or do not satisfy a given...
Curated OER
The Function Box
Pupils explore arithmetic and numerical patterns. After observing a teacher created function box, students describe a pattern and predict what will "come out" of the function box. They explore patterns such as geometric shapes,...
Curated OER
National Symbol Patterns
Students practice their patterning skills using national symbols.
Curated OER
Factors and Multiples
Sixth graders need to see the relevance in the mathematics they learn. This lesson plan builds on the concepts of least common multiple and greatest common factor. The lesson plan presents real-world problem situations for students to...
Curated OER
Will There be Enough Water?
Students investigate water usage, water available, and water demand historically in the local area. They use projections of water usage, availability and demand up to the year 2050. Students use graphs to relate as well as compare and...
Curated OER
Water - Planning for the Future
Students explore and examine the increases and/or decreases for water user groups: irrigation, municipal, manufacturing, steam electric power generation cooling, livestock, and mining. They utilize percentage changes during their...
Curated OER
Table Settings
Fifth graders explore and examine how to make organized lists and find patterns to help them solve problems. They identify, analyze and determine a rule for predicting and extending numerical patterns involving operations of whole...
Curated OER
Fun with Patterns
Students identify, extend and create patterns using various types of manipulatives and then work a pattern game in the computer lab to reinforce what was learned.
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