Simultaneous Equations
Understand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and algebraically as the pair of values satisfying both equations
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Teaching Table
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“Can your child explain that solving two equations simultaneously means finding the one pair of values that satisfies both at once — and show what that looks like on a graph?”
Full guide and materials
- Activity. Understand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and algebraically as the pair of values satisfying both equations
What to notice. Explain that the intersection of two lines represents values satisfying both equations • Find the approximate solution to a pair of simultaneous equations by reading a graph • Verify a proposed solution by substituting into both equations
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Can your child explain that solving two equations simultaneously means finding the one pair of values that satisfies both at once — and show what that looks like on a graph?
Understand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and algebraically as the pair of values satisfying both equations
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Check understanding
- Explain that the intersection of two lines represents values satisfying both equations
- Find the approximate solution to a pair of simultaneous equations by reading a graph
- Verify a proposed solution by substituting into both equations
“Can your child explain that solving two equations simultaneously means finding the one pair of values that satisfies both at once — and show what that looks like on a graph?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Algebra
- Age range
- Ages 13–14
Standards