EngageNY
Positive and Negative Numbers on the Number Line—Opposite Direction and Value
Make your own number line ... using a compass. The first installment of a 21-part series has scholars investigate positive and negative integers on a number line by using a compass to construct points that are the same distance from zero...
EngageNY
The Opposite of a Number's Opposite
It's said that opposites attract, but what about opposites of opposites? Individuals learn about the opposite of opposites using number lines. They complete a group activity in which members determine the opposite of opposites of...
EngageNY
Percent of a Quantity
Visualize methods of finding percents. Classmates find a percent of a quantity using two methods including a visual model in the 26th lesson in a series of 29. By the end of the lesson, scholars find percents given a part and the whole...
EngageNY
Conducting a Simulation to Estimate the Probability of an Event
How can you complete a simulation when it is not practical to determine the probability of an event? Class members learn that in some situations, it is not feasible to find the probability of an event, but they can estimate it by running...
EngageNY
Substituting to Evaluate Addition and Subtraction Expressions
Substitute this resource for what you used to use. Learners identify patterns in data tables and write addition and subtraction expressions to represent relationships. Substitution allows them to solve problems in context in the 20th...
EngageNY
One-Step Equations—Addition and Subtraction
Just one step is all you need to find success in solving equations. The 27th installment in a series of 36 teaches how to solve one-step equations involving addition and subtraction. Tape diagrams help future mathematicians in this task.
EngageNY
The Mean as a Balance Point
It's a balancing act! Pupils balance pennies on a ruler to create a physical representation of a dot plot. The scholars then find the distances of the data points from the balance point, the mean.
EngageNY
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...
EngageNY
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...
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
Describing the Center of a Distribution Using the Median
Find the point that splits the data. The lesson presents to scholars the definition of the median through a teacher-led discussion. The pupils use data lists and dot plots to determine the median in sets with even and odd number of data...
EngageNY
Connecting Graphical Representations and Numerical Summaries
Which graph belongs to which summary statistics? Class members build upon their knowledge of data displays and numerical summaries to connect the two. Pupils make connections between different graphical displays of the same data in...
EngageNY
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...
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...
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
Posing Statistical Questions
Is this a statistical question? The opening activity in a series of 22 introduces the concept of statistical questions. Class members discuss different questions and determine whether they are statistical or not, then they sort the data...
EngageNY
Find Solutions to Make Equations True
The truth is always best. Individuals continue to find values that make equations true in the 26th installment of the 36-part module. The only difference is that they now call them solutions to those equations.
EngageNY
Solving Problems by Finding Equivalent Ratios
Combine total quantities and equivalent ratios in problem solving. The fifth lesson plan in a series of 29 presents problems that can be solved using equivalent ratios. Pupils use part-to-part ratios and either sums or differences of the...
EngageNY
Tables of Equivalent Ratios
Don't table the discussion on equivalent ratios — do it now! Scholars create tables of equivalent ratios to represent contextual problems. Pupils go on to use the tables to answer questions within the context. The lesson plan is ninth in...
EngageNY
Writing and Interpreting Inequality Statements Involving Rational Numbers
Statements often have multiple interpretations — but not these inequality statements. Scholars compare rational numbers and write inequality statements symbolically. The lesson includes problems that require comparing three numbers.
Curated OER
Perfumania
Students identify various geometric shapes. Apply the given formulas to determine the volume of these shapes. Design their own container to conform to specifications provided. Use their knowledge of volume formulas and shapes to compute...
EngageNY
Arithmetic and Geometric Sequences
Arithmetic and geometric sequences are linear and geometric patterns. Help pupils understand the relationship and see the connection with an activity that asks them to write the rules and classify the patterns correctly. A sorting...
Mathematics Assessment Project
Sorting Equations of Circles 2
How much can you tell about a circle from its equation? This detailed lesson plan focuses on connecting equations and graphs of circles. Learners use equations to identify x- and y-intercepts, centers, and radii of circles. They also...
MARS - Mathematics Assessment Resource Service
Applying Properties of Exponents
The properties of exponents are all linked together and it is your mathematicians' job to discover and apply those rules. The comprehensive instructional activity begins with a pre-assessment task to check for prior knowledge and then...
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