EngageNY
Equations Involving Factored Expressions
Be ready mathematicians of every level. This lesson leads to the discovery of the zero product property and provides challenges for early finishers along the way. At conclusion, pupils understand the process of using the zero product...
Mathematics Vision Project
Module 4: Rational Functions
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
Education Development Center
Algebraic Habits of Mind
Math really is just one big puzzle waiting to be solved. Show learners that math can be intriguing and provide them with visually engaging problems and puzzles. The focus is on solving simple equations and looking at expressions.
EngageNY
Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
Illustrative Mathematics
An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
Curated OER
Graphs and Functions
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
Illustrative Mathematics
Voting for Three, Variation 1
This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, students will only consider two at a time, making the first problem...
Mathematics Assessment Project
Triangular Frameworks
What did the triangle say to the circle? You're pointless! Class members will get the point when they investigate relationships between side lengths of a triangle using the Triangle Inequality Theorem. Pupils then create an algebraic...
Illustrative Mathematics
Equivalent Expressions
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is the...
CK-12 Foundation
Solving Problems by Factoring: Building a Doghouse
Building a doghouse is easier with a little mathematical help! Young scholars use sliders to adjust the length of the doghouse and watch as it affects the width and area. They then answer questions that help them discover the question...
Curated OER
SHHH It's a Secret
Students rewrite word problems using expressions and equations. In this algebra lesson, students use the correct variable to solve and write equations. They use the TI to graph their solution.
EngageNY
Solving Rational Equations
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
EngageNY
Overcoming Obstacles in Factoring
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
EngageNY
Negative Exponents and the Laws of Exponents
Apply the properties of exponents to expressions with negative exponents. The fifth lesson in the series explains the meaning of negative exponents through an exploration of the properties taught in the previous lessons of the series....
EngageNY
The Power of Algebra—Finding Primes
Banks are responsible for keeping our financial information safe. Mathematics is what allows them to do just that! Pupils learn the math behind the cryptography that banks rely on. Using polynomial identities, learners reproduce the...
EngageNY
Choice of Unit
Explore using units with scientific notation to communicate numbers effectively. Individuals choose appropriate units to express numbers in a real-life situation. For this 13th lesson of 15, participants convert numbers in scientific...
5280 Math
Stories That Formulas Tell
Learn the stories a formula holds. An interesting lesson takes a unique approach to teach how to use formulas. Beginning with a formula, learners predict what the variables stand for and then use the formula to make calculations and tell...
Curated OER
Rating Systems
Your favorite sports team is ranked #1. How do the powers that be determine this rating? Learn how ratings are mathematically computed using probability concepts, from the Elo Rating System for chess to the Rating Percentage Index for...
EngageNY
Numbers Raised to the Zeroth Power
What in the world is the zeroth power? Examine the patterns of exponents as they apply to the zeroth power. Scholars apply the zero property to simple exponential expressions in this fourth lesson in a series of 15. The examples include...
EngageNY
Interpreting Rate of Change and Initial Value
Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...
Illustrative Mathematics
Words to Expressions 1
Designed as a follow-up to the lesson plan titled Watch Out for Parenthesis 1, this activity asks young learners to write an equation for the calculation described with words rather than numbers and symbols. The treasure that 5th graders...
Curated OER
Qualitative Examples of Conservation of Mechanical Energy
Instructions for series of six activites, a reading of scientific literature, and a choice of six assessments await you in this physics resource. Well-written plans guide you in guiding your pupils to experiment with levers, pulleys,...
Curated OER
Order of Operations
Seventh graders investigate the order of operations. For this seventh grade mathematics lesson, 7th graders explore the order of operations and practice using them in activities that involve paper and pencil, calculators and computers.
Curated OER
Problem Solving Model
Use a vocabulary chart to introduce math functions. The class defines a list of mathematical vocabulary terms on a worksheet, as well as completes equations and expressions. They examine word problems and practice transcribing them into...