This task helps students solidify their understanding of linear functions and push them to be more fluent in their reasoning about slope and y-intercepts. This task has also produced a reasonable starting place for discussing point-slope form of a linear equation.

This task can be used to both assess student understanding of systems of linear equations or to promote discussion and student thinking that would allow for a stronger solidification of these concepts.

"The Core Knowledge Foundation provides open access to content-rich curriculum materials for preschool through grade 8, including the Core Knowledge Curriculum Series™, with many materials now available and many more in development."

You will need to provide your email address to download these amazing resources. CK has aligned their ELA to the Science of Reading in collaboration with Amplify Reading.
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In Module 4, students extend what they already know about unit rates and proportional relationships to linear equations and their graphs.  Students understand the connections between proportional relationships, lines, and linear equations in this module.  Students learn to apply the skills they acquired in Grades 6 and 7, with respect to symbolic notation and properties of equality to transcribe and solve equations in one variable and then in two variables.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Rebecca Davis sets up a coordinate plane on the floor of her classroom. Groups of 3 or 4 students are assigned equations in slope-intercept form and graph them using their bodies on the giant coordinate plane. As extensions, Ms. Davis changes the slope or y-intercept of the original equation and makes the activity into a race.

This task requires students to find linear equations with different numbers of solutions.

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In this task students use linear equations to solve a real world problem.

This amazing site from Alberta has interactive for all the strands.
These could be used by students or in small group instruction or as a whole class.

This award winning math site is searchable by grade level (6-8, 9-10, 11-12), course content and activities. It encourages:
Active Learning
- The unique content format makes learning more interactive than ever before. Students can explore, discover and actively engage in problem solving and creativity.
Personalization
- The content can seamlessly adapt to different students, allowing everyone to achieve mastery. A virtual personal tutor gives real-time hints and encouragement.
Storytelling
- Every course has a captivating narrative and is full of colourful illustrations. Discover all the real-life applications of mathematics, and why it is incredibly beautiful.

Just a few topics include:
- Virtual manipulatives (including Canadian money)
- multiplication flash cards
- Fractals
- timeline of mathematics
- graph theory
- Pascal's triangle
- Factris
- Fibonacci
- circles and pi
- origami
- Platonic Solids
- Symmetry
- Probability
- Cylinders

(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)

En el módulo 4, los estudiantes extienden lo que ya saben sobre las tarifas unitarias y las relaciones proporcionales con ecuaciones lineales y sus gráficos. Los estudiantes entienden las conexiones entre relaciones proporcionales, líneas y ecuaciones lineales en este módulo. Los estudiantes aprenden a aplicar las habilidades que adquirieron en los grados 6 y 7, con respecto a la notación simbólica y las propiedades de la igualdad para transcribir y resolver ecuaciones en una variable y luego en dos variables.

Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.

English Description:
In Module 4, students extend what they already know about unit rates and proportional relationships to linear equations and their graphs.  Students understand the connections between proportional relationships, lines, and linear equations in this module.  Students learn to apply the skills they acquired in Grades 6 and 7, with respect to symbolic notation and properties of equality to transcribe and solve equations in one variable and then in two variables.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

This is an American site that provides free personal finance curriculum and professional development to more than 30,000 middle and high school teachers reaching over 2 million students. Even though it is American, there are plenty of uses for this in Canada as well!

Click the curriculum tab at the top to see all of your options for resources!

There is also an arcade full of games (button at the top middle of the screen)!

There is also a Math button at the top of the screen for math related lessons. E.g, unit price, compound interest

Three full course options are available for high school and one for middle school.

There is also current events under FINCAP Friday; as well as question of the day, unit review, podcasts, library and assessments.

This task allows students to reason about the relative costs per pound of the two fruits without actually knowing what the costs are. Students who find this difficult may add a scale to the graph and reason about the meanings of the ordered pairs. Comparing the two approaches in a class discussion can be a profitable way to help students make sense of slope.

This task asks students to find the amount of two ingredients in a pasta blend. The task provides all the information necessary to solve the problem by setting up two linear equations in two unknowns.

It is possible to say a lot about the solution to an equation without actually solving it, just by looking at the structure and operations that make up the equation. This exercise turns the focus away from the familiar Ňfinding the solutionÓ problem to thinking about what it really means for a number to be a solution of an equation.

This task requires students to think about equations and solve them using pictures.

The purpose of this task is to show how the ideas in the RP and EE domains in 6th and 7th grade mature in 8th grade.

In this task, we are given the graph of two lines including the coordinates of the intersection point and the coordinates of the two vertical intercepts, and are asked for the corresponding equations of the lines. It is a very straightforward task that connects graphs and equations and solutions and intersection points.