Mathematics 10 Linear Relations
Specific Curriculum Outcomes
RF03 Demonstrate an understanding of slope with respect to: rise and run, line segments and lines, rate of change, parallel lines, perpendicular lines.
RF05 Determine the characteristics of the graphs of linear relations, including the: intercepts, slope, domain and range.
RF06 Relate linear relations expressed in: slope–intercept form (y = mx + b), general form (Ax + By + C = 0) and slope–point form (y – y1) = m(x – x1)) to their graphs.
RF07 Determine the equation of a linear relation, given: a graph, a point and the slope, two points and a point and the equation of a parallel or perpendicular line to solve problems. * RF07.06 Determine the equation of the line of best fit from a scatterplot using technology and determine the correlation is a departure from the WNCP curriculum and not in the textbook. Resources for this indicator can be found in the NS Curriculum Companion.
RF03 Demonstrate an understanding of slope with respect to: rise and run, line segments and lines, rate of change, parallel lines, perpendicular lines.
RF05 Determine the characteristics of the graphs of linear relations, including the: intercepts, slope, domain and range.
RF06 Relate linear relations expressed in: slope–intercept form (y = mx + b), general form (Ax + By + C = 0) and slope–point form (y – y1) = m(x – x1)) to their graphs.
RF07 Determine the equation of a linear relation, given: a graph, a point and the slope, two points and a point and the equation of a parallel or perpendicular line to solve problems. * RF07.06 Determine the equation of the line of best fit from a scatterplot using technology and determine the correlation is a departure from the WNCP curriculum and not in the textbook. Resources for this indicator can be found in the NS Curriculum Companion.
RF03 and RF05 Activities
 Polygraph: Lines from Desmos  One student picks a line and answers questions and the other student asks yes or no questions to try to determine which line was chosen.

 One Solution, No Solutions, Infinite Solutions from Open Middle  Using Integers (without repeating any number), create equations of the form (__/__)x + __ = __x + (__/__) and fill in the spaces to create the following types of Linear Equations: one solution, no solutions and infinite solutions. As an added challenge see what the smallest integer interval of the numbers used that you can find.
 Creating Squares from wild.math.org  This game is played on a 5x5 piece of dot paper. Take turns claiming a dot. Whoever completes a square first is the winner. You can play against the computer or a friend. Also an opportunity to talk about parallel and perpendicular lines.
 Writing Linear Equations given Two Ordered Pairs from Nora Oswald  Each student is given an index card with a point on it. They find a partner and write the equation of the line that passes through both of their points. Then they find another partner and repeat the process. After a few partners they will realize that no matter what person they match with, the get the same line! Let the students figure out what is going on and tell you about it.
RF06 Activities (relate functions to their graphs)
 A Linear Relationships Menu from Amie Albrecht  Amie describes this activity that was inspired by Nat Banting. Not only does this style of task elicit strategic thinking and emphasis understanding, it also helps students make connections between certain properties of linear equations.

 Marbleslides: Lines from Desmos  In this superawesome and challenging activity, students click Launch to release marbles, which slide down the line, into the first quadrant, through the stars, and down off the bottom of the screen.

 Match My Graph: Linear Functions from Michael Fenton  Develop your students’ graphing abilities with this multiday series of linear function challenges. Can be done online with Desmos or with pencil and paper. Lots of great resources.
RF07 Activities
 The Crow and the Pitcher from Pam Wilson  A lesson based on an old fable about a crow that wants a drink of water but can't reach the bottom of the glass. Drop marbles in a tall glass to make the water rise. How many marbles will it take to rasie the water level to the top of the glass? Mary Bourasa also wrote a post about this lesson.
 Introducing Linear Equations Barbie Bungee Activity from Julie Reulbach  Have students create a Barbie Bungee Company and determine the number of rubber bands needed for a really exciting barbie bungee.

 Fill 'er Up! from Denis Sheeran  Look at the relationship between the estimated range on a car and the actual distance travelled on the odometer. How do they compare?
 Desmos Puppy House from Fawn Nguyen and Desmos Art: Fries  Students create a dog house or some other art using lines first on paper and then in Desmos.

 Regressions on Desmos video from Bob Lochel  Bob Lochel explains how to work with data to find bestfit equations using linear regression in the Desmos online graphing calculator.
 Guess the Correlation Game  Silly fun 8bit game where you look at a scatter plot and guess R. With a little practice you can get really good at estimating the correlation just by looking at the scatterplot. Lots of fun.
 Target Practice Game  A game for 2 teams using two differently colored dice, paper, graph paper. On each turn, each team rolls the pair of dice to come up with a set of target points. They then come up with an equation, to hit as many of the target points in the graph of the equation as possible. On each round, you roll the same number of targets as the round number; ex. on round three, three targets. For each target scored, you get the same number of points as the round; ex. If you hit two targets on round three, you score 6 points. Play for at least five rounds. Variations: For variety, allow teams to make any given roll positive or negative. For challenge, include (0,0) as an extra target point in each round.