Diablo Valley College
The Language of Sets and Set Notation
The basics of number theory and set notation are explained in a highly approachable way in a self-contained activity and worksheet. Introducing the vocabulary and concepts from ground zero and building to more complex ideas of subsets...
EngageNY
The Graph of the Equation y = f(x)
Math language? Set notation is used in mathematics to communicate a process and that the same process can be represented as computer code. The concept to the loop in computer code models the approach pupils take when creating a solution...
EngageNY
The Graph of a Function
Mathematics set notation can be represented through a computer program loop. Making the connection to a computer program loop helps pupils see the process that set notation describes. The activity allows for different types domain and...
Willow Tree
Scientific Notation
Numbers that are very large or very small are difficult to express in standard notation. Pupils learn how to convert between standard and scientific notation. They also multiply and divide the numbers in scientific notation.
EngageNY
Solution Sets for Equations and Inequalities
How many ways can you represent solutions to an equation? Guide your class through the process of solving equations and representing solutions. Solutions are described in words, as a solution set, and graphed on a number line....
Ohio Department of Education
Multiplying and Dividing in Scientific Notation - Grade 8
Here is really nice set of resources on scientific notation. Eighth and ninth graders explore the concept of multiplying and dividing in scientific notation. In this multiplying and dividing numbers in scientific notation lesson,...
EngageNY
Base 10 and Scientific Notation
Use a resource on which you can base your lesson on base 10 and scientific notation. The second installment of a 35-part module presents scholars with a review of scientific notation. After getting comfortable with scientific notation,...
Mathematics Assessment Project
Estimating Length Using Scientific Notation
Would you rather have a million dollars or 1 x 10^6 dollars? To find the answer to this question, class members first complete an assessment task converting numbers between decimal notation and scientific notation. They then take part in...
EngageNY
Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology
Examine numbers in scientific notation as a comparison of size. The 14th lesson in the series asks learners to rewrite numbers as the same power of 10 in scientific notation to make comparisons. Pupils also learn how to use a calculator...
EngageNY
Multiplication of Numbers in Exponential Form
Develop a solid understanding of multiplication and division properties of exponents. Individuals expand exponential terms to discover the patterns and create the properties in the second installment in a series of 15. The activity...
Illustrative Mathematics
Points on a Graph
Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...
EngageNY
Matrix Notation Encompasses New Transformations!
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different matrices and...
Curated OER
Place Value of Whole Numbers Through One Million
Third graders construct numbers to the millions place. In this 30-page place value instructional activity, learners create numbers and evaluate the place value of digits. They explore standard and expanded form of numbers. An incredible...
Curated OER
Expanded Form - Ten Thousands
Students explore the concept of writing numbers in expanded form. In this expansion activity, students write numbers in expanded form.
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.
Curated OER
Set a Poem to Music
Fun awaits both you and your class as you embark on a musical activity. After discussing different rhythmic meters they choose a poem to set to music. The poem must rhyme and be set to a melody in the key of C Major. Because the activity...
Curated OER
A Guide to Great Home Music Practice
To be the very best musician one needs to be wiling to practice at home. Here is a handy guide to give your young musicians a leading edge on home music practice. It includes a warm up, cool down, suggestions for setting goals and for...
Curated OER
Expanded Form - Thousands
Students explore the concept of writing numbers in expanded form. For this expansion lesson, students write numbers in expanded form.
Willow Tree
Functions
What makes a function a function? Learn the criteria for a relation defined as a function both numerically and graphically. Once young mathematicians define a function, they use function notation to evaluate it.
EngageNY
Representing, Naming, and Evaluating Functions (Part 2)
Notation in mathematics can be intimidating. Use this lesson to expose pupils to the various ways of representing a function and the accompanying notation. The material also addresses the importance of including a domain if necessary....
EngageNY
The Mathematics Behind a Structured Savings Plan
Make your money work for you. Future economists learn how to apply sigma notation and how to calculate the sum of a finite geometric series. The skill is essential in determining the future value of a structured savings plan with...
Willow Tree
Arithmetic and Geometric Sequences
Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...
Curated OER
Scientific Notation
Students observe the teacher writing numbers and determine the rules for scientific notation. After explanations, they perform operations on numbers in scientific nation and discuss reasons for using this method of writing numbers and...
Curated OER
Expanded Form and Place Value
Third graders are introduced to the concept of place value with place value tents. As a class, they are shown a number which they say outloud and write the number in expanded form. To end the lesson, they practice saying numbers in the...
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