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West Contra Costa Unified School District
Connecting Graphing and Solving Absolute Value Equations and Functions
Can you solve an equation graphically? Absolutely! This Algebra II lesson plan makes the connection between solving an absolute value equation and graphing two functions. Graphing absolute value functions is presented through the process...
CK-12 Foundation
Absolute Values of Integers
A five-question interactive focuses on integers and absolute value. A number line shows the distance to aide mathematicians in answering multiple-choice, true or false, and discussion questions.
Radford University
Transformational Graphing in the Real World: Air Traffic Control
You're cleared to learn about absolute value functions. An interesting lesson has scholars investigate transformations of the graphs of absolute value functions. They look at air traffic control as an application of the concept.
EngageNY
The Mean Absolute Deviation (MAD)
Is there a way to measure variability? The ninth resource in a series of 22 introduces mean absolute deviation, a measure of variability. Pupils learn how to determine the measure based upon its name, then they use the mean...
EngageNY
The Distance Between Two Rational Numbers
There has to be a better way than counting. Pupils find the distance on a number line between rational numbers by counting the number of intervals. Through a discussion, the class sees the connection between absolute value and the...
Virginia Department of Education
Integers: Addition and Subtraction
Young mathematicians construct their own understanding of integers with an inquiry-based math lesson. Using colored chips to represent positive and negative numbers, children model a series of addition and subtraction problems as...
Illustrative Mathematics
Above and below sea level
Using the real-world example of elevation, above or below sea level, young mathematicians interpret expressions using negative signs, and absolute value. This task provides a good opportunity to discuss the notion of magnitude and...
EngageNY
Getting a Handle on New Transformations 1
In the first of a two-day lesson on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding...
Illustrative Mathematics
Comparing Temperatures
Which is colder -12 or -18? Temperature is natural real-world application of ordering rational numbers. It's also fun to talk about the lowest recorded temperature on Earth. Take the time to discuss this inquiry with your class.
Illustrative Mathematics
Integers on the Number Line 2
Four inequality statements are given for the same two negative numbers. The resource is a good practice for pupils to interpret statements of inequalities relative to the position on the number line. The objective is for pupils to...
EngageNY
Using the Number Line to Model the Addition of Integers
The second instructional activity in a series of 25 shows the class how to use arrows and a number line to add integers. Learners apply their knowledge of the commutative property and absolute value in their explanations. Classmates play...
Virginia Department of Education
Calculating Measures of Dispersion
Double the fun — calculate two measures of deviation. The lesson plan provides information to lead the class through the process of calculating the mean absolute deviation and the standard deviation of a data set. After learning how to...
EngageNY
Develop Rules for Multiplying Signed Numbers
Investigate the case of two negatives making a positive. Pupils fill in a quadrant system to generate the products of integers. They analyze the quadrants to find patterns and relationships to help complete the table values. The teacher...
EngageNY
Understanding Addition of Integers
Count up or down to find sums. The third lesson in a 25-part series uses number lines to build an understanding of the sums of integers. Pupils make the connection between the distance and direction of a sum from the first addend, then...
Illustrative Mathematics
Riding by the Library
Draw a graph that shows the qualitative features of a function that has been described verbally. Make sure learners understand where time is zero and the distance is zero. It may take them some time to understand this concept, so working...
EngageNY
Modeling a Context from a Graph
Collaborative pairs develop functions that model a graph from a context using the modeling cycle. They then analyze their function models in order to answer questions about the scenario.
Radford University
Function Family Fun
It's time for a family reunion—function families, that is. Pupils first review different types of parent functions. They then see how to apply transformations to graphs and learn how to select the most appropriate type of function to...
EngageNY
Complex Number Division 2
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second lesson on complex number division, the class takes a closer look at the numerator and denominator of the multiplicative...
EngageNY
Summarizing a Data Distribution by Describing Center, Variability, and Shape
Put those numbers to work by completing a statistical study! Pupils finish the last two steps in a statistical study by summarizing data with displays and numerical summaries. Individuals use the summaries to answer the statistical...
EngageNY
Percent Error Problems
Individuals measure a computer monitor and determine how accurate their measures are. The eighth segment in a series of 20 introduces the concept of percent error. Pupils find the percent error of their measurements and discuss the...
Virginia Department of Education
Analyzing and Interpreting Statistics
Use measures of variance to compare and analyze data sets. Pupils match histograms of data sets to their respective statistical measures. They then use calculated statistics to further analyze groups of data and use the results to make...
EngageNY
Describing Center, Variability, and Shape of a Data Distribution from a Graphical Representation
What is the typical length of a yellow perch? Pupils analyze a histogram of lengths for a sample of yellow perch from the Great Lakes. They determine which measures of center and variability are best to use based upon the shape of the...
Virginia Department of Education
z-Scores
Just how far away from the mean is the data point? Pupils calculate the standard deviation for a set of data and find out how many standard deviations a point is away from the mean. The teacher leads a discussion on how to calculate...
Virginia Tech
Unit Plan: Exponential and Logarithmic Functions
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction...