Inside Mathematics
Two Solutions
Many problems in life have more than one possible solution, and the same is true for advanced mathematics. Scholars solve seven problems that all have at least two solutions. Then three higher-level thinking questions challenge them to...
Curated OER
Exponential Expressions and Equations
In this exponential expressions and equations worksheet, 9th graders solve 10 different problems that include various exponents and equations. First, they set the equations with comparable exponential expressions on either side of the...
Curated OER
Graphing Systems of Inequalities
In this systems of inequalities worksheet, 9th graders solve 10 different sets of problems that include graphing systems of inequalities. First, they graph each inequality separately. Then, students solve each system of inequalities and...
Curated OER
Solving Compound Inequalities
In this compound inequalities instructional activity, students solve and graph 12 different problems that include compound inequalities. First, they graph the solution of each compound inequality. Then, students write a compound...
Curated OER
Radical Equations
In this radical equations instructional activity, 9th graders solve 10 different problems that include various radical equations. First, they isolate the variable in each equation. Then students solve by undoing the addition or...
Curated OER
Cyclic Nature
In this cyclic nature worksheet, 11th graders solve 10 different problems that include the powers of i. First, they use the patterns shown for the powers of i to solve. Then, students find any remainders when dividing. They also simplify...
Curated OER
Solving Inequalities
In this solving inequalities learning exercise, students solve and complete 22 different problems that include using addition and subtraction to solve each one. First, they solve each inequality by getting the variable on one side alone....
Curated OER
Rational Equations
For this rational equations worksheet, 9th graders solve 10 different problems that include various forms of rational equations. First, they determine the least common denominator in each equation. Then, students compare numerators and...
Curated OER
Division of Polynomials
In this division of polynomials worksheet, 9th graders solve 10 different equations that include monomials. First, they divide each terms of the polynomial by the monomial and subtract the exponents. Then, students write the appropriate...
EngageNY
Opposite Quantities Combine to Make Zero
Find the cards that get to zero. The activity introduces the class to the idea of adding integers. Pupils use a number line to count up and count down when adding. They play a game to collect cards that will sum to zero.
EngageNY
Understanding Multiplication of Integers
Repeated addition also works for multiplying integers. The lesson plan has the class play the integer game again, but has one card multiplied several times. Scholars write the multiplication expression and the addition expression that...
CK-12 Foundation
Multiplying Matrices by a Scalar: Column Vectors
Make connections between vectors and matrices through multiplication. Scholars use the interactive to view the effect of multiplying a matrix by a scalar. The interactive displays the resulting matrix and its corresponding column vectors...
CK-12 Foundation
Multiplying Matrices by a Scalar
The rule is add before multiplying, even with matrices. Pupils use a slider to change the scalar multiplying the sum of two matrices. The interactive displays the resulting solution matrix, and requires scholars answer five questions...
Curated OER
Electric Field Activity
In this physics worksheet, students identify and describe the correct and incorrect features in electric field lines. Then they qualitatively sketch field lines for a charge distribution and a charge given the field lines.
Curated OER
Set-Builder and Interval Notation
For this set-builder and interval notation worksheet, 9th graders solve and complete 10 different problems that include using set-builder and interval notation to represent an inequality. First, they rewrite the number line shown using...
Courseware Solutions
Integers: A Real World Rational Numbers Application
Given centigrade temperatures for pairs of cities, math-minded meteorologists determine which is either warmer or colder. The learning exercise is embedded in a website from which you can access an answer key or even change the cities...
Curated OER
Solving Quadratic Equations/ The Quadratic Formula
In this quadratic equations learning exercise, students solve 10 problems using the quadratic equation. The learning exercise provides a good explanation of the quadratic formula and then provides students practice using it. This is an...
Curated OER
Exercise Set 5.1: Trigonometric Functions of Real Numbers
In this trig functions worksheet, students find the trig values of 46 problems. Students find the trig values of various radian measures. Students use trig properties to prove trig identities.
School Mathematics Project
Resource Sheets
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
Curated OER
Integer Division
Middle schoolers are introduced to the process of dividing integers. As a class, they review positive and negative numbers and what happens to the real and imaginary numbers when divided. They complete sample problems and a worksheet...
Curated OER
Adding Integers Using an Integer Line
In this integers worksheet, students use integer lines to add the positive and negative numbers. They can show the answers online.
Curated OER
Subtracting Integers
For this subtracting integers worksheet, students use 9 integer lines to help them solve 9 math problems that require them to subtract positive and negative numbers.
Curated OER
Comparing and Ordering Integers
Learners compare and order integers on an umber line. In this algebra activity, students differentiate between positive and negative numbers. They plot point in the correct order on a number line.
Alabama Learning Exchange
Battle to the Death: Adding Integers
Young scholars explore the concept of adding integers. In this adding integers lesson, students simulate the battle of the 300 spartans at Thermopylae. Young scholars use colored game pieces to represent positive and negative...
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