Mathemat1cs 10 Relations and Functions
Specific Curriculum Outcomes
RF01 Students will be expected to interpret and explain the relationships among data, graphs, and situations.
RF02 Students will be expected to demonstrate an understanding of relations and functions.
RF04 Students will be expected to describe and represent linear relations, using words, ordered pairs, tables of values, graphs, and equations.
RF05 Students will be expected to determine the characteristics of the graphs of linear relations, including the intercepts, slope, domain, and range.
RF07 Students will be expected to determine the equation of a linear relation to solve problems, given a graph, a point and the slope, two points, and a point and the equation of a parallel or perpendicular line.
RF08 Students will be expected to solve problems that involve the distance between two points and the midpoint of a line segment. * RF08 is a departure from the WNCP curriculum and not in the textbook. Resources for this outcome can be found in the NS Curriculum Companion.
RF09 Students will be expected to represent a linear function, using function notation.
RF01 Students will be expected to interpret and explain the relationships among data, graphs, and situations.
RF02 Students will be expected to demonstrate an understanding of relations and functions.
RF04 Students will be expected to describe and represent linear relations, using words, ordered pairs, tables of values, graphs, and equations.
RF05 Students will be expected to determine the characteristics of the graphs of linear relations, including the intercepts, slope, domain, and range.
RF07 Students will be expected to determine the equation of a linear relation to solve problems, given a graph, a point and the slope, two points, and a point and the equation of a parallel or perpendicular line.
RF08 Students will be expected to solve problems that involve the distance between two points and the midpoint of a line segment. * RF08 is a departure from the WNCP curriculum and not in the textbook. Resources for this outcome can be found in the NS Curriculum Companion.
RF09 Students will be expected to represent a linear function, using function notation.
RF01 Activities (Interpreting and Sketching Graphs)
- Graphing Stories by Dan Meyer and BuzzMath - A collection of 24 short videos. For each video, students will create a graph to describe the action in the video on a handout.
- Water Line from Desmos - Students watch glasses filling with water and graph what they see to uncover misconceptions about graphs.
RF02 Activities (Relations and Functions)
- Function/Not a Function Open Middle Problem from Sarah Carter - Students complete a trio of tables of values in order to make them all a function or all not a function.
- If a Function is a Vending Machine, Then... from Christopher Danielson - A great selection of photos of vending machines illustrating a one-to-one function, a function that is not one-to-one, a constant function and a non-function. A great analogy for understanding what a function is.
- Function Carnival from Desmos - Students watch a video and describe what they see to uncover misconceptions about graphing. The teacher dashboard allows the teacher to see and record what each student is working on.
RF04, RF05 and RF06 Activities
- Robot Function Fighters Classroom Game - Students use a deck of cards to build 'robots' which calculuate linear functions. You could modify the cards to use function notation to apply directly to outcome RF09.
- Domain and Range Lesson from John Scammell - This activity introduced domain and range using a Pictionary activity. The idea is that one student will be given a graph and have to describe it to a partner, who will draw it without looking at it. You make it tougher if you don’t let the describor see what the describee is drawing until the graph is done. This task and resources are also found on the Alberta Assessment Consortium web site.
- Rocky Road from Alberta Assessment Consortium - Students analyze the progress of a hiker based on a graphical representation. They determine the equation of a line, and then they create a new story supported by their own graph.
RF08 Activities (Distance and Midpoint)
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RF09 Activities (Function notation)
- Evaluating Functions War from Sarah Carter - Students determine the value of a function at two different points to see which is greater. Students get practice evaluating functions from a table, equation, or graph. Sarah Carter has shared a set of cards she created for this activity.
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