Illustrative Mathematics
Do Two Points Always Determine a Linear Function?
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
MARS, Shell Center, University of Nottingham
Defining Regions Using Inequalities
Your young graphers will collaboratively play their way to a better understanding of the solution set produced by the combining of inequalities. Cooperation and communication are emphasized by the teacher asking questions to guide the...
Willow Tree
Systems of Equations
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
Willow Tree
Transformations
How does something go from here to there? Describe it with a transformation. Young mathematicians learn how to translate, reflect, rotate, and dilate an image.
Balanced Assessment
Getting Closer
Flip the script! Reverse the situation and ask the class to find the function given asymptotes. The task requires class members to use their knowledge of functions and asymptotes to create functions that have a given asymptote or...
Balanced Assessment
Para-Ball-A
Analyze the flight of a thrown ball. Learners determine the maximum height of a thrown ball and the time it takes to hit the ground given its initial speed. They continue to review different scenarios with different maximums or different...
Concord Consortium
Shooting Arrows through a Hoop
The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...
Curated OER
Worksheet 6 - Vector
In this vector worksheet, students draw simple pictures, identify the positions of the vectors, write equations to describe vector location. This two-page worksheet contains four multi-step problems.
Curated OER
Worksheet 8 - Vectors
In this vector worksheet, students find the area of a parallelogram spanned by vectors, they give the geometric and algebraic definitions of the dot product and describe a sequence of vectors. This one-page worksheet contains six...
Curated OER
Relations and Functions
In this relations and functions worksheet, 9th graders solve and complete 3 different problems that include relations and functions. First, they use the same relationship between x and y as the illustrated table to determine the value of...
Curated OER
Variables, Formulas, Functions, Graphs and Linear Approximations
In this limitations of formulas worksheet, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.
Curated OER
Ordered Pairs
In this ordered pairs worksheet, 10th graders solve and graph 6 different sets of points on each graph. First, they draw each of the given ordered pairs in each problem on the gird shown. Then, students label each of these points on the...
Curated OER
Formulas Multiple Choice
In this formulas worksheet, students determine the distance between two points. They read story problems, identify needed information, write equations and solve them. Students find the midpoint of a line. This two-page worksheet...
Curated OER
System of Axes
In this system of axes worksheet, 10th graders solve and complete 1 word problem. First, they determine the figure shown in the illustration and set-up an expression. Then, students solve to find the shaded region of the diagram.
Curated OER
Slope Exploration
In this slope exploration activity, 9th graders solve and complete 18 different problems that include graphing and investigating the slope of various equations. First, they graph each pair of points and draw a line that contains both...
Curated OER
Explaining the equation for a circle
By first starting with an explicit example of a radius and center point, this challenging lesson tries to help high schoolers gain an understanding of the Pythagorean theorem and the equation of a circle. Once they have accomplished the...
EngageNY
Modeling Video Game Motion with Matrices 2
The second day of a two-part lesson on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the 32-part...
EngageNY
Matrix Multiplication and Addition
To commute or not to commute, that is the question. The 26th segment in a 32-segment lesson focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply two 2 X 2...
Illustrative Mathematics
Lines of Symmetry for Quadrilaterals
Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your...
Curated OER
Writing Equations in Slope-Intercept Form
Use this worksheet to write equations in both point-slope form and slope-intercept form. Start by writing equations given one point and the slope and finish by writing equations given two points and a few real-world applications. The...
Curated OER
Geometry: Parallel and Perpendicular Lines
This basic handout would be good for skills practice or a review of parallel and perpendicular lines. Review the definitions, then practice writing equations of lines that pass through a specific point and are either parallel or...
Curated OER
Convolution Method
In this convolution method activity, students solve 4 different equations related to convolution methods. First, they create a combined plot of the three different solutions and the forcing function. Then, students use any method...
Curated OER
Parabola
In this parabolas worksheet, 10th graders solve and graph 12 different problems related to various types of parabolas. First, they determine the vertex and the y-intercept based on the graph illustrated for each. Then, students write a...
Curated OER
High School Mathematics Problems from Alaska: AL-CAN Highway Problem
Students write and solve equations converting between metric and standard measurement as they travel southeast on the Al-Can Highway.