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True and False Number Sentences II
Substitution is still the method of choice to verify number sentences. The detailed lesson has young mathematicians determining conditions for when number sentences are true or false through substitution. They learn to express these...
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Variability in a Data Distribution
Scholars investigate the spread of associated data sets by comparing the data sets to determine which has a greater variability. Individuals then interpret the mean as the typical value based upon the variability.
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Describing Distributions Using the Mean and MAD II
The 11th lesson in the series of 22 is similar to the preceding lesson, but requires scholars to compare distributions using the mean and mean absolute deviation. Pupils use the information to make a determination on which data set is...
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Describing Distributions Using the Mean and MAD
What city has the most consistent temperatures? Pupils use the mean and mean absolute deviation to describe various data sets including the average temperature in several cities. The 10th instructional activity in the 22-part series asks...
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Describing Variability Using the Interquartile Range (IQR)
The 13th activity in a unit of 22 introduces the concept of the interquartile range (IQR). Class members learn to determine the interquartile range, interpret within the context of the data, and finish by finding the IQR using an...
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Understanding Box Plots
Scholars apply the concepts of box plots and dot plots to summarize and describe data distributions. They use the data displays to compare sets of data and determine numerical summaries.
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Developing a Statistical Project
The 17th lesson in a unit of 22 presents asks the class to conduct a statistics project. Pupils review the first two steps of the process of asking a question and collecting data. They then begin the process by developing a...
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Exponents
Powered up! Here's a great resource on exponents. Scholars build on their previous understanding of exponents to include all positive real number bases. Distinguishing between an and a^n is a major goal in the fifth lesson of a 36-part...
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Replacing Letters with Numbers II
Teach about properties properly. Individuals investigate the commutative and identity properties for both addition and multiplication. They see that the properties hold true for all values by using substitution to test out several examples.
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Distributing Expressions
You know how to factor expressions; now it's time to go the opposite way. Scholars learn to write algebraic expressions in expanded form using the distributive property. A problem set helps them practice the skill.
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Writing and Evaluating Expressions—Addition and Subtraction
Let Y represent Yes to using an excellent resource. Pupils first learn to define variables using a complete description in the 19th part in a series of 36. They write expressions involving addition and subtraction in real-world...
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Writing and Evaluating Expressions—Multiplication and Division
Don't table the resource on writing expressions for relationships in tables. Scholars investigate relationships between variables and write algebraic expressions involving multiplication and division. These expressions help solve...
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Writing and Evaluating Expressions—Exponents
Bring your young mathematicians into the fold. Scholars conduct an activity folding paper to see the relationship between the number of folds and the number of resulting layers in the 23rd installment of a 36-part module. The results of...
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True and False Number Sentences
True or false? Scholars determine the truth value of equations and inequalities through substitution. All values to use for substitution are given with each equation or inequality. This is the 24th lesson in a module of 36.
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One-Step Equations—Multiplication and Division
Discover one more step to being able to solve any one-step equation. Scholars continue their work with one-step equations in the 28th installment of a 36-part module. Tape diagrams and algebraic processes introduce how to solve one-step...
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From Equations to Inequalities
Sometimes, equality just doesn't happen. Scholars apply their knowledge of solving equations to identify values that satisfy inequalities in the 34th installment of a 36-part module. They test given sets of numbers to find those that are...
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Creating a Dot Plot
Which dot am I? Pupils create dot plots to represent sample data through the use of frequency tables. The third segment in a series of 22 asks individuals to analyze the dot plots they created. The scholars translate back and...
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Creating a Histogram
Display data over a larger interval. The fourth segment in a 22-part unit introduces histograms and plotting data within intervals to the class. Pupils create frequency tables with predefined intervals to build histograms. They describe...
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Describing a Distribution Displayed in a Histogram
The shape of the histogram is also relative. Learners calculate relative frequencies from frequency tables and create relative frequency histograms. The scholars compare the histograms made from frequencies to those made from relative...
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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...
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Summarizing a Distribution Using a Box Plot
Place the data in a box. Pupils experiment with placing dividers within a data set and discover a need for a systematic method to group the data. The 14th lesson in a series of 22 outlines the procedure for making a box plot based...
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Comparing Data Distributions
Box in the similarities and differences. The 19th lesson in a unit of 22 presents class members with multiple box plots to compare. Learners use their understanding of five-number summaries and box plots to find similarities and...
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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...
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Presenting a Summary of a Statistical Project
Based upon the statistics, this is what it means. The last lesson in a series of 22 has pupils present the findings from their statistical projects. The scholars discuss the four-step process used to complete the project of their...
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