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Inside Mathematics
Graphs (2006)
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
Noyce Foundation
Truffles
Knowing how to scale a recipe is an important skill. Young mathematicians determine the amount of ingredients they need to make a certain number of truffles when given a recipe. They determine a relationship between ingredients given a...
Inside Mathematics
Rugs
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...
Cornell University
Resolution—Not Just for the New Year
Experiment with optical resolution using an inquiry-based lesson. Young researchers calculate fellow classmates' optical resolutions. They apply the information to understand the inner workings of optical instruments.
Concord Consortium
Gravity
Weight is a function of the distance from sea level. Learners explore the many implications of this fact in an inquiry-based task. Given the function, pupils answer questions before manipulating the function to rewrite the distance...
Concord Consortium
Painted Stage
Find the area as it slides. Pupils derive an equation to find the painted area of a section of a trapezoidal-shaped stage The section depends upon the sliding distance the edge of the painted section is from a vertex of the trapezoid....
EngageNY
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...
Curated OER
Simple Sequence
Learners identify the nth term in a sequence. In this algebra lesson, students generate sequences given the formula for each sequence. They find the formula given the sequence.
Curated OER
Solving Linear Equations
In this linear equations worksheet, students solve six linear equations and check their work. Then they translate the next 4 problems into an equation and solve those too. Students first combine like terms when necessary and then solve...
Curated OER
Linear Equations
In this linear equations worksheet, students solve ten problems. The first five, they find the equation of the line that contains the given point and has the given slope. Then, for the last five, students find the equation containing...
Curated OER
Word Problems
In this algebra worksheet, students solve word problems using algebra. They factor using the quadratic formula and complete the square. There are 4 problems with an answer key.
Curated OER
Pepe Cleaners
Seventh graders gather data to determine the relationships between the base and height of rectangles with fixed perimeters and express the relationships using words and symbols. Students build rectangles with pipe cleaners. They create...
Curated OER
High School Mathematics Problems from Alaska:Cutting Cordwood
Learners solve problems and answer questions about two young men attemtping to earn money by cutting cords of wood.
Curated OER
Linear Graphs and Equations 5.1
In these identifying coordinates on a grid, linear graphs, and equations worksheets, 6th graders draw the shapes and letter, complete a table and use it to draw a graph, calculate gradients of lines, determine equations of lines, solve...
Curated OER
Quadratic Equations
In this algebra worksheet, students define the word "quad" and solve problems with quadratics. They factor polynomials by the quadratic formula and completing the square.
Curated OER
The Focus of an Ellipse
In this algebra worksheet, students solve for the center of an ellipse by finding the focus. They use the focus formula when solve for conics. There are 13 problems with an answer key.
Curated OER
The Equation Behind an Old Trick
In this algebra worksheet, 9th graders figure out their age and their house number using a specific formula. They must follow each step correctly to get it right.
Curated OER
Find Slope
In this algebra worksheet, 9th graders are given a pair of coordinates and asked to find the slope of the line using the point slope formula. There are 5 questions with an answer key.
Curated OER
The Interest Equations
In this algebra learning exercise, students calculate the interest yearly, quarterly and daily. They follow specific formulas for each equation. There are 7 problems with an answer key.
Curated OER
Maxima Minima Problems
In this algebra worksheet, students find the maxima and the minima of the parabola. They calculate the maximum and minimum area and apply the formulas of polygons to help them solve equations. There are 8 questions with an answer key.
Curated OER
Calculating Slope
Students find the slope using a slope formula. In this algebra worksheet, students use a pair of coordinate to identify the slope and y intercept. There are 7 questions.
Curated OER
Analyzinf Equations Through Slope and Y intercept
Students solve equations representing exponential functions. In this algebra lesson, students interpret their equations by analyzing the slope and y intercept. They find the slope using the slope formula.
Curated OER
Geometric Sequences and Series
In this algebra learning exercise, students solve sequences using the geometric mean for sequences and series. They have to find the next number in the pattern using the formula for geometric means. There are 23 problems to be solved.
Curated OER
Linear and Quadratic Functions
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They take the square roots of both side of each equation then graph both the linear and quadratic functions. There are a total of 84 problems...