Curriculum / Math / 8th Grade / Unit 6: Systems of Linear Equations / Lesson 7
Math
Unit 6
8th Grade
Lesson 7 of 11
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Lesson Notes
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Solve real-world and mathematical problems using linear systems and substitution.
The core standards covered in this lesson
8.EE.C.8.C — Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
The foundational standards covered in this lesson
8.EE.C.7 — Solve linear equations in one variable.
8.F.B.4 — Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
Farmer Joe has cows and chickens on his farm. He poses a riddle to his neighbor, saying, "On all the cows and chickens on my farm, I counts 76 legs and 24 heads. How many cows and how many chickens do I have on my farm?"
Answer the farmer's riddle using a system of equations.
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a. Watch the Act 1 video from Coin Counting by Dan Meyer. For each question below, write an answer that is wrong and write your best guess.
b. Your teacher will provide you with some additional information about the situation. Use the information to determine how many of each coin there is.
c. Watch the video answer.
Was your answer reasonable?
Coin Counting by Dan Meyer is made available on 101Questions under the CC BY 3.0 license. Accessed March 10, 2017, 4:26 p.m..
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Maya buys greeting cards to give to her friends at school. She buys some greeting cards that cost $2.50 each and some greeting cards that cost $4 each. She buys 12 cards in all for a total of $40.50. How many greeting cards that cost $2.50 did Maya buy?
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
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Solve systems of linear equations using elimination (linear combinations) when there is already a zero pair.
Topic A: Analyze & Solve Systems of Equations Graphically
Define a system of linear equations and its solution.
Standards
8.EE.C.8.A
Solve systems of linear equations by graphing.
8.EE.C.8.A8.EE.C.8.B
Classify systems of linear equations as having a unique solution, no solutions, or infinite solutions.
Solve real-world and mathematical problems by graphing systems of linear equations.
8.EE.C.8.C
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Topic B: Analyze & Solve Systems of Equations Algebraically
Solve systems of linear equations using substitution when one equation is already solved for a variable.
8.EE.C.8.B
Solve systems of linear equations using substitution by first solving an equation for a variable.
Solve systems of linear equations using elimination (linear combinations) by first creating a zero pair.
Solve real-world and mathematical problems using systems and any method of solution.
8.EE.C.8.B8.EE.C.8.C
Model and solve real-world problems using systems of equations.
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