Virginia Department of Education
Determining Absolute Age
How can radioactive decay help date old objects? Learners explore half-life and radioactive decay by conducting an experiment using pennies to represent atoms. Young scientists graph data from the experiment to identify radioactive decay...
Illustrative Mathematics
Finding an Unknown Angle
Teach your class how to apply their knowledge of geometry as they explore the unknown. In order to find an unknown angle, students must understand that rectangles have four interior right angles, that right angles have 90 degrees, and...
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
Curated OER
WORKSHEET # 8 [4.4, 4.5, 4.6, 4.7, & 4.8]
In this college prep algebra worksheet, students combine like terms in 15 polynomial expressions. Students multiply polynomials in 18 expressions. Students divide 6 polynomial expressions. The rest of the 48 problems relate to the...
Curated OER
Investigating Velocity Effects at Takeoff
Students use, with increasing confidence, problem-solving approaches to investigate and explain mathematical content. They make and test conjectures. They use tables and graphs as tools to interpret expressions, equations, and inequalities.
Curated OER
Practice Exit Exam - Mat 0024
For this practice exit exam, students complete a variety of basic algebra problems on an Algebra I skill level. They simplify expressions containing variables, factor quadratic equations, find the slope of a line, identify the...
Curated OER
Placing Parentheses
Students decide where and when to use parentheses. In this algebra lesson, students use parentheses to clarify a math problems and solve correctly. They use order of operation as they solve problems with integers and variable.
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
Equations for Curves Passing through a Given Set of Points
Learner use three random locations on the coordinate system and simplify the expression and assign result to the variable loc. They substitute guesses for the center and radius of the circle in the equation for the center of a circle and...
Curated OER
Extra Practice 10.3: Dividing Polynomials
In this division and multiplication worksheet, students divide and multiply polynomials. They simplify given expressions containing variables and exponents. This one-page worksheet contains 24 problems.
Curated OER
The Language of Algebra
Students compare the language of algebra to a foreign language. They play the game "Pictionary" to emphasize that pictures can represent words. After writing definitions and discussing the meaning of variable expressions, students, in...
Curated OER
Pre-Algebra Worksheet 1
In this pre-algebra expressions activity, 9th graders solve 17 different problems related to various expressions. First, they write each phrase as an algebraic expression. Then, students write each sentence as an algebraic equations.
Curated OER
Pre-Algebra
In this pre-algebra practice worksheet, students examine 10 algebraic expressions and then simplify them for the variable y.
Illustrative Mathematics
Watch out for Parentheses
It is important for the algebra learner to understand the use of parentheses. Mathematicians of all levels can make errors with nested parentheses. This will give them some practice. It makes for a good class starter or quick assessment.
Curated OER
Multiplying Polynomials
Students explore multiplying polynomials. They observe solving polynomials using the standard order of operations, FOIL, and the box method. Throughout the demonstration, students explore strategies of solving word problems such as...
Curated OER
Solving Linear Equations
Math whizzes read a series of slides describing steps to solving linear equations. They view a slide-show presentation. Each page, or slide, presents a different topic. Topics include: defining a linear equations, inverse operations,...
Curated OER
Solving for an Unknown
In this solving for the unknown activity, students solve and complete 18 different problems that include algebraic expressions. First, they study each pattern in the equations shown. Then, students solve each equation for the variable...
Illustrative Mathematics
Growing Coffee
Ask your algebra learners to write an equation that has unit constraints. This commentary talks about the constraints, but does not show them in the equation. It is important that your mathematicians understand that the units apply to...
Curated OER
College Prep Algebra, Order of Operations
In this algebra worksheet, learners evaluate 9 exponential terms. They use order of operations to solve 18 rational number problems. Students use substitution to evaluate 4 problems involving variables.
Noyce Foundation
Gym
Give the class a mental work out with an assessment task in which young mathematicians compare several gym membership options. They use substitution to calculate the cost for given numbers of months.
EngageNY
Mixture Problems
What percent of the mixture is juice? Pairs use their knowledge of proportions to determine what percent a mixture is juice given the percent of juice in the components. Pupils use the procedure learned with the juice mixture problem to...
Curated OER
Steps and Examples for Multiplying Ratiuonal Expressions
In this multiplying rational expression worksheet, students are given two examples of how to multiply and then simplify rational expressions. The examples are complete with steps and justifications.
Curated OER
Division Principle
In this division principle instructional activity, students solve 20 different problems that include applying the division principle to determine the value of each variable. They solve each equation for the variable by getting the...
Curated OER
Lesson 2: Introduction to Equations & Why We Can Solve Equations
In this equations worksheet, learners explore mathematical expressions. They solve algebraic equations with one variable and identify the domain and range. This five-page worksheet contains detailed notes, examples, and 4...