EngageNY
Dividing by (x – a) and (x + a)
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
EngageNY
The Division of Polynomials
Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.
EngageNY
The Multiplication of Polynomials
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property.
Mathematics Assessment Project
Solving Linear Equations in Two Variables
Solving problems about pen and paper with systems of equations ... or is it the other way around? In the lesson, learners first interpret expressions and use equations in two variables to solve problems about notebooks and pens. They...
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
EngageNY
A Surprising Boost from Geometry
Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication.
EngageNY
Trigonometric Identity Proofs
Proving a trig identity might just be easier than proving your own identity at the airport. Learners first investigate a table of values to determine and prove the addition formulas for sine and cosine. They then use this result to...
EngageNY
Equivalent Rational Expressions
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
EngageNY
Comparing Methods—Long Division, Again?
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
EngageNY
Successive Differences in Polynomials
Don't give your classes the third degree when working with polynomials! Teach them to recognize the successive differences and identify the degree of the polynomial. The lesson leads learners through a process to develop an understanding...
Mathematics Assessment Project
A Day Out
An applicable task presents a problem for pupils to solve: where to go for a class field trip. The pupils must take into consideration the first and second choices of members of the class when determining where to go. Individuals also...
Mathematics Assessment Project
Spinner Bingo
Learners are in it to win it for a fun math activity! After comparing Bingo boards to figure out which one is most likely to win, individuals then determine the numbers to choose in order to create a board with the best chance of winning.
Mathematics Assessment Project
Lottery
A probability activity presents a lottery game as an idea for a fundraiser. Pupils analyze the game to determine the number of possible outcomes, then determine whether the game would be a good way to raise funds and to support their...
Mathematics Assessment Project
Candle Box
Individuals draw a net for a hexagonal pyramid — with some stipulations. The net must contain the printed images so they appear correctly on the box, along with tabs to glue the box together.
PB Works
Prime and Composite Numbers
Start with the basics and introduce the first 24 numbers in the world of prime and composites. This graphic organizer has students list the factors and then categorize the numbers appropriately. A great way to organize information and...
EngageNY
Arc Length and Areas of Sectors
How do you find arc lengths and areas of sectors of circles? Young mathematicians investigate the relationship between the radius, central angle, and length of intercepted arc. They then learn how to determine the area of sectors of...
Charleston School District
Operations with Exponents
It just multiplies out. The lesson provides the rules for operations with exponents and keeps them as positive integers in the lesson. Videos explain the rules for the operations with exponents while working out examples.
Computer Science Unplugged
Divide and Conquer—Santa’s Dirty Socks
The story "Santa's Dirty Socks" provides learners an example of a search algorithm that uses a divide and conquer system similar to a binary search algorithm. The included questions expand upon the concepts that follow the story.
Charleston School District
Parallel Lines Cut by a Transversal
Pupils study angle measurements between different types of angles associated with parallel lines and transversals. The independent practice asks pupils to identify the types of angles in a diagram and to determine the measure of angles.
Charleston School District
Scientific Notation and Appropriate Units
How do you write a number in scientific notation? The handout and video provide an explanation on how to convert from standard form into scientific notation and vice versa. The resource also contains a short discussion about choosing...
Charleston School District
Negative Exponents
What happens if the exponent is negative? The resource takes a look at a problem two different ways, with one resulting in a negative exponent. The approach provides an explanation of how to evaluate negative exponents.
Charleston School District
Review Unit 2: Congruence and Similarity
Review for the test with a comprehensive list of terms and concepts for the unit on congruence and similarity. It divides divides the sections in the order of the lessons presented during the unit.
Charleston School District
Similar Triangles
Are they similar? The lesson provides an explanation of the angle-angle criterion for triangle similarity. Several problems allow the class to determine whether the two triangles with the given angle measures are similar or not.
Charleston School District
Scientific Notation Operations
How do you operate with numbers in scientific notation? The resource provides examples on how to divide and multiply with numbers written in scientific notation. The handout and video also cover the procedure for addition and subtraction...