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
Introduction to Melodic Notation: Sol-Mi
Second graders sing melodic sol-mi songs for teacher and student assessment. Emphasis is placed on drill and practice while developing melodic singing skills. Students evaluate performances and activities using pre-determined rubric...
National Security Agency
Expanding Place Value
Learners explore place value. This incredibly thorough and valuable mathematics instructional activity, has students make a number wheel to assist in the completion of a Place Value worksheet. Students use manipulatives and a place value...
Curated OER
Playing the Cards of Place Value
Third graders explore place value to the ten-thousands place. In this amazing, 21-page place value lesson, learners represent numbers in standard and expanded form, and use technology to represent numbers to 9,999.
Curated OER
Analyzing Congruence Proofs
Looking at numerous examples of triangles, each with different properties, geometers develop their understanding of congruency. They use the notation of a counter-example to disprove certain conjectures and prove geometric theorems and...
Illustrative Mathematics
Pennies to Heaven
Even though pennies seem to be relatively thin, stack enough of them into a single stack, and you could have quite a high stack. Enough so, that the final result can be a surprise to you as well as your class. This activity centers...
Curated OER
Original Band Compositions
Learners create and perform original band compositions using their own band instruments. This two day lesson requires student compositions to be done at home. Students evaluate performances using a checklist for composing (included).
EngageNY
Representing, Naming, and Evaluating Functions (Part 1)
Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range.
EngageNY
Why Move Things Around?
Explore rigid motion transformations using transparency paper. Learners examine a series of figures and describe the transformations used to create the series. They then use transparency paper to verify their conclusions.
Hawaiʻi State Department of Education
Rhythm Patterns
Fractions can be tricky. Why not have kids think of fractions like they think of eighth, quarter, and half notes? In teams, the class creates four-measure patterns with their percussion instruments. They need to explain their rhythm...
Curated OER
Exploring Function Graphs
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
Curated OER
Introductory Exponents
Students participate in a instructional activity combining language arts with mathematics. First, they write a paragraph explaining what it means to multiply two numbers. Then students practice using exponents in different problems.
Curated OER
Jazz and Math: Improvisation Permutations
Students observe that there are myriad combinations of rhythms to choose from when improvising jazz and blues music, and recognize that while the variations seem infinite, they are in fact finite. They notate a 12 bar blues progression...
EngageNY
Why Stay with Whole Numbers?
Domain can be a tricky topic, especially when you relate it to context, but here is a lesson that provides concrete examples of discrete situations and those that are continuous. It also addresses where the input values should begin and...
EngageNY
Infinite Decimals
Can you support the argument that the decimal 0.99999 ... is equivalent to the number one? The seventh installment in this 25-part module gives convincing support for this conclusion. Pupils write infinite decimals using powers of 10....
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.
EngageNY
Constant Rates Revisited
Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the rates...
EngageNY
Representing Reflections with Transformations
In the 16th lesson in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson breaks the process of reflecting across a line...
EngageNY
Factoring Expressions
Factor in an informative resource when teaching about factoring. The 11th lesson in a 36-part module shows pupils how to factor algebraic expressions by applying the distributive property. Some of the problems involve expressions with...
EngageNY
Properties of Exponents and Radicals
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in terms...
EngageNY
The “WhatPower” Function
The Function That Shall Not Be Named? The eighth installment of a 35-part module uses a WhatPower function to introduce scholars to the concept of a logarithmic function without actually naming the function. Once pupils are comfortable...
EngageNY
Special Relationships Within Right Triangles—Dividing into Two Similar Sub-Triangles
Why are right triangles so special? Pupils begin their study of right triangles by examining similar right triangles. Verifying through proofs, scholars recognize the three similar right triangles formed by drawing the altitude. Once...
EngageNY
The Geometric Effect of Some Complex Arithmetic 1
Translating complex numbers is as simple as adding 1, 2, 3. In the ninth instructional activity in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads...
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...