Buffalo State
Adding and Subtracting Integers Unit
Just because one integer is larger than another doesn't mean it will make sense right away. Go beyond note taking and show learners, through the use of algebra tiles and a Four-Pan Algebra Balance, how the numbers relate to one...
EngageNY
Solutions of a Linear Equation
Use the distributive property to solve equations. The sixth lesson in a 33-part series has scholars solve equations that need to be transformed into simpler equations first. Class members apply the distributive property to the equations...
Curated OER
Solving Algebra
In this algebra worksheet, students define greatest common factors, least common factors and solve word problems dealing with GCF and LCM. There are 10 questions with an answer key.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Curated OER
Deciphering Word Problems in Order to Write Equations
Help young mathematicians crack the code of word problems with this three-lesson series on problem solving. Walking students step-by-step through the process of identifying key information, creating algebraic equations, and finally...
EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
EngageNY
A Focus on Square Roots
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions.
EngageNY
Bacteria and Exponential Growth
It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.
EngageNY
Word Problems Leading to Rational Equations
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question —...
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.
EngageNY
Rearranging Formulas
Model for your learners that if they can solve an equation, they can rearrange a formula with a well-planned lesson that has plenty of built-in practice. As the lesson progresses the content gets progressively more challenging.
Curated OER
Polynomials
In this worksheet, learners solve and complete 32 various types of problems. Included are problems on simplifying polynomials, factoring, graphing equations by plotting points, and simplifying expressions using the rules of...
Curated OER
Residential Power System
Perform data analysis on energy consumption to apply algebraic expressions to the real world. Learners will write and solve equations that answer various questions from residential power use. They will collect data at home and calculate...
Curated OER
Distributive Property
In this distributive property learning exercise, students solve and complete 22 different equations that include applying the distributive property to each one. First, they simplify each expression listed by applying the distributive...
Kuta Software
One-Step Equations
One-step equations are the foundation of algebra and your mathematicians can strengthen their skill set with this two-page worksheet. The problems consist of all the operations and include positive and negative numbers for integer...
Curated OER
Using Doubles
Bring this easy shortcut to your first grade addition lesson! By adding doubles (6+6, for example), and then adding or subtracting 1, kids learn how to solve simple addition problems with ease. This trick is especially helpful for...
Curated OER
Completing the Square
Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.
Curated OER
Multiples of 6 #2
Count by six with these helpful activities. After completing number sequences and multiplication problems from the six times table, third graders solve problems that are written out at the bottom of the page. An excellent way to work on...
Curated OER
Inverse
Your class can learn all about inverse operations. They will review what inverse operations are, see examples, learn how to use inverse operation to check an answer, write addition and subtraction equations in the inverse, and use the...
Curated OER
Multiplication Drills
Practice multiplication with your fourth graders! After reviewing four example multiplication problems at the top of the page, pupils solve 32 problems with one and two-digit numbers. This format would work well for a nice timed-quiz for...
Curated OER
Real-Life Problems: Money
Help your fourth graders become responsible consumers with this math activity! They solve six word problems about buying toys using the four operations. An example at the top of the page helps pupils write out the necessary equations for...
Curated OER
Worksheet 3.1 Functions
Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...
Curated OER
Practice Makes Perfect
In this solving for a variable learning exercise, students use multiplication and division to solve problems. Students complete six problems by solving an equation.
Curated OER
Domain: Operations and Algebraic Thinking
Practice basic operations for young mathematicians in fun ways! Using two decks of cards (Ace through 10 plus the joker), learners play "memory" by matching numbers that can be added to make 10 and writing number sentences. In another...