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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.
Virginia Department of Education
Functions 1
Scholars learn what it means for a relation to be a function and see various representations of functions. After learning the definition, they participate in a card sorting activity classifying relations as functions or not.
EngageNY
Rotations of 180 Degrees
What happens when rotating an image 180 degrees? The sixth lesson in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...
Teach Engineering
Measuring Surface Tension
How do you measure surface tension? The fifth installment of a nine-part series is an experiment where young scientists use tubes of different sizes to measure surface tension. They calculate the average and standard deviation of the...
Curated OER
Scientific Notation II
In this scientific notation activity, students are given 10 sets of numbers expressed in scientific notation. They either add or subtract the given numbers.
Curated OER
Expanded Form - Ten Thousands
Learners explore the concept of writing numbers in expanded form. In this expansion lesson, students write numbers in expanded form.
Curated OER
Scatterplots and Regressions
In this scatterplots and regressions worksheet, students solve 6 different types of problems related to graphing scatterplots and interpreting regressions. First, they create a scatterplot from the given data coordinates and then,...
Virginia Department of Education
Middle School Mathematics Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is so important for learners as they progress through different levels of mathematical learning. Here is 125 pages worth of wonderfully constructed vocabulary and concept review cards....
Curated OER
Intersections, Unions, and Compound Inequalities
In this algebra worksheet, students graph inequalities on number lines. Two problems are written in interval notation. The other five problems require students to graph and then write in interval notation.
Curated OER
Functions and Their Graphs
Use a worksheet to go over the basic concepts of relations and functions. Included are clear definitions and examples of relations, domain and range, and functions and the vertical line test. However, the problems are pretty...
Curated OER
Positive and Negative Numbers
Pupils use blocks and markers to illustrate the processes of adding, subtracting, multiplying and dividing integers. In this mathematics lesson plan, learners use Algebra blocks to demonstrate multiplying polynomials.
Helping with Math
Identifying and Writing Decimals up to Hundredths
Five sets of blocks representing whole units, tenths, and hundredths are grouped so that learners can evaluate the total values. This provides practice with place value and the use of decimals. Answers are included. The brevity of this...
Curated OER
Cell Phones
Your texters will enjoy assessing their knowledge of function notation in this simple set of exercises. They will also interpret function notation in terms of the given context.
EngageNY
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.
Curated OER
Place Value Made Simple
Elementary schoolers explore place value to the millions place. They construct and evaluate the value of numbers. Working in small groups, pupils problem solve with pocket place value charts, and examine standard and expanded forms. This...
EngageNY
Scatter Plots
Scholars learn to create scatter plots and investigate any relationships that exists between the variables with a lesson that also show them that statistical relationships do not necessarily indicate a cause-and-effect...
Virginia Department of Education
Organizing Topic: Probability
The probability is high learning will occur! A well-designed unit introduces learners to the concepts of independent, dependent, and mutually exclusive events. Using Venn diagrams, the lessons ask learners to analyze many different...
EngageNY
Square Roots
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
EngageNY
Read Expressions in Which Letters Stand for Numbers III
Those key operation words sure come in handy. Groups continue their work with converting between different notations for algebraic expressions. They work in stations to write the symbolic form for given verbal phrases. This is the 17th...
Virginia Department of Education
Functions 2
Demonstrate linear and quadratic functions through contextual modeling. Young mathematicians explore both types of functions by analyzing their key features. They then relate these key features to the contextual relationship the function...
Mathematics Vision Project
Module 7: Modeling with Functions
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
Mathematics Vision Project
Features of Functions
What are some basic features of functions? By looking at functions in graphs, tables, and equations, pupils compare them and find similarities and differences in general features. They use attributes such as intervals of...
EngageNY
Converting Rational Numbers to Decimals Using Long Division
Convert fractions that cannot be written with a denominator that is a power of 10. Pupils use the definition of a fraction and long division to convert fractions to decimals, then discover that some divisions terminate and others...