Charleston School District
Negative Exponents
What happens if the exponent is negative? The resource takes a look at a problem two different ways, with one resulting in a negative exponent. The approach provides an explanation of how to evaluate negative exponents.
Charleston School District
Negative Exponents Operations
Are exponent rules different if the exponents are negative? Using the definition of negative exponents and the rules of exponents, the resource shows that the rules of exponents hold independent of the sign of the exponent. Practice...
Curated OER
Signed Numbers
Sixth and seventh graders solve and complete 8 different types of problems. First, they multiply and divide by signed numbers. Then, they rewrite any division as multiplication by the reciprocal. Pupils also work out the absolute value...
Curated OER
Positive & Negative Numbers
Young mathematicians solve and complete 22 different problems that include using a number line to evaluate. First, they define each of the terms listed. Then, pupils graph each integer on the given number line. They also evaluate each...
Curated OER
Negative Exponents and Scientific Notation
In this exponent rules worksheet, students simplify 56 negative exponents and scientific notation problems. Students use exponent rules to simplify each problem.
Curated OER
Multiplying and Dividing Fractions 2
Practice makes perfect when it comes to dividing and multiplying fractions! This problem-solving worksheet packet has learners putting these skills to test with negative numbers, mixed numbers, and whole numbers. Four pages give simple,...
Curated OER
Practice Problems
Students will find the reciprocal of a given number. Students will explain how to get the reciprocal of positive and negative numbers.
Curated OER
Worksheet #2: Algebraic Expressions
In this algebraic expression worksheet, students evaluate algebraic expressions involving the addition, subtraction, division, and multiplication of negative and positive integers. Students identify mathematical properties and find the...
Curated OER
Rational Numbers
In this rational numbers worksheet, 9th graders solve and complete 24 different problems that include dividing various numbers. First, they determine the reciprocal of the second number in each equation. Then, students multiply the first...
Curated OER
The Reciprocal Function Family
In this Algebra II worksheet, 11th graders examine the reciprocal function family in the form y = a/(x – h) + k, identifying the vertical and horizontal asymptotes. The two page worksheet contains explanation, examples, and two practice...
Curated OER
Reciprocals of Quadratic Functions
Eleventh graders investigate inverse functions. In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
EngageNY
Designing a Search Robot to Find a Beacon
Build right angles using coordinate geometry! Pupils explore the concept of slope related to perpendicular lines by examining 90-degree rotations of right triangles. Learners determine the slope of the hypotenuse becomes the opposite...
Curated OER
Proof of Identity
Students explore trigonometric identities. In this Algebra II lesson, students use graphing to verify the reciprocal identities. Using Cabri Jr, students investigate the Pythagorean trigonometric identities and the geometric c proofs...
02 x 02 Worksheets
Slope
What does slope have to do with lines? Pupils work with lines and determine the slope of the lines informally and with the slope formula. Groups use their knowledge to calculate the slopes of parallel and perpendicular lines. They also...
Teach Engineering
Graphing Equations on the Cartesian Plane: Slope
Slopes are not just for skiing. Instructors introduce class members to the concept of slope and teach them how to calculate the slope from a graph or from points. The activity also includes the discussion of slopes of parallel and...
Curated OER
Worksheet Chapter 1 College Prep Algebra
In this algebra worksheet, students compare integers, translate words to a numerical expression, identify sets of numbers, identify properties, use order of operations, multiply fractions, and solve simple word problems. This 13 page...
Curated OER
Polynomial Function Exam 4
In this polynomial worksheet, students solve 12 questions. The first five questions deal with the roots of the polynomials. Students state the inverse for one problem and the reciprocal for one problem. They make three graphs, and...
Curated OER
Complex Fractions
In this algebra worksheet, students divide complex fractions using properties of division and reciprocals. They are to get rid of all negative exponents. There are 48 problems.
Curated OER
Writing and Graphing Linear Equations on a Flat Surface
In this linear equations worksheet, students write the equation of a line with given characteristics. They identify the slope of a line and the y-intercept. Explanations and examples are provided at the beginning of the worksheet. This...
Willow Tree
Parallel and Perpendicular Lines
Enhance your class's understanding of linear equations by extending their study to parallel and perpendicular lines. Young mathematicians learn the relationship between the slopes of parallel and perpendicular lines. They then use that...
Curated OER
Parallel Lines and Properties of Slope
Students define functions to be graphed using the Y=key. They demonstrate how to set up a standard viewing screen using Zoom 6. They discuss and explore mathematical questions on a worksheet.
Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas from...
Curated OER
Algebra I - Worksheet G12: Graphing Lines
In this graphing lines worksheet, students graph 28 lines given various data. Students graph lines given two points, a point and slope, and a line perpendicular or parallel to a point.
Curated OER
Perpendicular Lines in the Coordinate Plane
Students investigate the relationship between perpendicular and parallel lines on a coordinate plane. In this geometry lesson, students differentiate lines based on their slopes.