Curated OER
Systems of Equations: What Method Do You Prefer?
Students explore the concept of solving systems of equations. In this solving systems of equations activity, students watch YouTube videos about how to solve systems by graphing and by elimination. Students use an interactive website to...
EngageNY
Similarity and the Angle Bisector Theorem
Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...
EngageNY
A Surprising Boost from Geometry
Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication.
EngageNY
Using the Quadratic Formula
What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions,...
EngageNY
Congruence Criteria for Triangles—ASA and SSS
How do you know if a pair of triangles are congruent? Use the lesson to help class members become comfortable identifying the congruence criteria. They begin with an exploration of ASA and SSS criteria through transformations and...
EngageNY
The Graph of a Function
Mathematics set notation can be represented through a computer program loop. Making the connection to a computer program loop helps pupils see the process that set notation describes. The activity allows for different types domain and...
EngageNY
Representing, Naming, and Evaluating Functions (Part 2)
Notation in mathematics can be intimidating. Use this lesson to expose pupils to the various ways of representing a function and the accompanying notation. The material also addresses the importance of including a domain if necessary....
BBC
Simple Addition and Subtraction
Here is a wonderful lesson plan designed for young mathematicians. In it, they employ simple addition and subtraction strategies in order to solve word problems. There are some excellent activity sheets embedded in the plan to make the...
EngageNY
Coordinates of Points in Space
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation...
Concord Consortium
Losing Track
Don't lose the chance to use the task. Given three diagrams of curved pieces of wires, young mathematicians must explain whether it's possible to conclusively match the wires as representing cubic, exponential, or quadratic functions....
Curated OER
Measurement: 2D and 3D
Young scholars solve volume problems. In this geometry instructional activity, the class watches a video about clean water (link provided) and individuals compare the volume of different prisms, including an actual drinking glass....
PBS
Geometry: Hide and Seek
A geometry game that resembles Battleship is the foundation for hide and seek where "hiders" draw shapes on coordinate planes and "seekers" must guess the shape and its location based on questions and clues. Reproducible, paper-sized...
Curated OER
Thinking Outside the Box
Now this lesson sounds fun! Students throw a ball, film it as it soars through the air, and use a spreadsheet to collect data. A scatterplot is created to produce a quadratic regression equation, an equation in vertex form, and an...
EngageNY
Graphing Factored Polynomials
Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.
EngageNY
Graphing Quadratic Equations from the Vertex Form
Graphing doesn't need to be tedious! When pupils understand key features and transformations, graphing becomes efficient. This lesson connects transformations to the vertex form of a quadratic equation.
EngageNY
The Inverse Relationship Between Logarithmic and Exponential Functions
Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...
EngageNY
The Geometric Effect of Multiplying by a Reciprocal
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
EngageNY
Exploiting the Connection to Cartesian Coordinates
Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...
Curated OER
Investigation--Comparing and Ordering Fractions
Fourth graders use fraction strips to compare and order fractions. Identify various ways a figure can be divided. Find equivalent fractions. Recognize and order fractions with the denominators 2,3,4,5,6,8,10, and 12.
Massachusetts Department of Education
Similarity through Transformations
Create the ultimate miniature golf course. The 93-page model curriculum unit from the Massachusetts Department of Elementary and Secondary Education contains nine lessons on understanding similarity in terms of both Euclidean geometry...
West Contra Costa Unified School District
Graphing Piecewise Functions
Step up to learn about step functions. The activity, designed for high schoolers, first covers piecewise functions and how to draw their graphs. It then introduces step functions, including the greatest integer (floor) and...
Curated OER
Area, Perimeter and Rations Using Pentominoes
Learners of all ages investigate area and perimeter through pentominoes. In this geometry lesson, young scholars calculate the are and perimeter of different geometric shapes and describe the properties of similar and congruent shapes....
Curated OER
Rule for Equality of Fractions
Here is a lesson on equality of fractions. Learners use fraction bar manipulatives as the lesson goes along to help them visually understand equivalent fractions. The activities described are top-notch, and there is a worksheet embedded...
Curated OER
Equality of Fractions
Here is a instructional activity on equality of fractions designed for fourth graders. Learners work in groups and utilize fraction bars to help them work through a variety of activities. They split up into pairs and play an online game...