Curated OER
Simplifying Thirty Exponential Expressions
For this exponents worksheet, students simplify thirty problems regarding exponentials. Six of the problems cover fractional exponents and radicals.
Curated OER
High School Mathematics Problems from Alaska:Cutting Cordwood
Students solve problems and answer questions about two young men attemtping to earn money by cutting cords of wood.
Curated OER
Complex Fractions
In this complex fractions worksheet, 9th graders solve 10 different problems that include simplifying various complex fractions. First, they create one single fraction in the numerator and then in the denominator. Then, students rewrite...
Curated OER
Formulae
In this algebra worksheet, students evaluate expressions by substitution. They replace variables with values and multiply, add or subtract to solve the problems. There are 19 questions with an answer key.
Curated OER
Exact Log Problems
For this Algebra II worksheet, 11th graders simplify logarithmic expressions. The two page worksheet contains ninety problems. Answers are included.
Curated OER
Exponents
In this Algebra II worksheet, 11th graders use the laws of exponents to simplify expressions. The exponents include fractions, variables, radicals, and imaginary numbers. The one page worksheet contains thirty-four...
Curated OER
The Distributive Property
In this algebra worksheet, students use the distributive property to solve expressions. They distribute negatives and numbers to get the correct answer. There are 30 questions relating to distribution.
Curated OER
Quantities Comparisons
In this algebra worksheet, learners compare two quantities to see if they are equal or different. They solve the given expressions before identifying the same/difference answer. There are 24 questions.
Curated OER
Solving Multi-step Equations
Seventh graders solve 10 different problems that take multiple steps to solve. First, they combine like terms if necessary. Pupils isolate the terms that contain the variable they want to solve. In addition, they substitute their answer...
Inside Mathematics
Hexagons
Scholars find a pattern from a geometric sequence and write the formula for extending it. The worksheet includes a table to complete plus four analysis questions. It concludes with instructional implications for the teacher.
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Virginia Department of Education
Give or Take a Few
Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.
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...
West Contra Costa Unified School District
Solving Exponential Equations
The power to solve exponential equations lies in the resource. Scholars first learn how to solve exponential equations. An activity matching cards with equations, intermediate steps, and solutions strengthens this skill.
Inside Mathematics
Quadratic (2006)
Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.
West Contra Costa Unified School District
Comparing Rational Functions and Simplified Functions
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order...
EngageNY
Summarizing Deviations from the Mean
Through a series of problems, learners determine the variability of a data set by looking at the deviations from the mean. Estimating means of larger data sets presented in histograms and providing a way to calculate an...
EngageNY
Integer Exponents
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
EngageNY
Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the instructional activity is the discovery of Euler's number.
EngageNY
Building Logarithmic Tables
Thank goodness we have calculators to compute logarithms. Pupils use calculators to create logarithmic tables to estimate values and use these tables to discover patterns (properties). The second half of the activity has scholars use...
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...
EngageNY
Irrational Exponents—What are 2^√2 and 2^π?
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
EngageNY
The Most Important Property of Logarithms
Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous lesson, using logarithm tables to develop properties. Scholars...
West Contra Costa Unified School District
Matching Quadratic Functions
Ever sigh when learners ask why they have to know so many different forms of the quadratic equation? Here is a lesson that comes in handy! Using hands-on matching activities, quadratic equations are explored through...