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Algebra I
Essential Learnings for 2010 - 2011
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Essential Learnings for First Semester:
EL: I can solve linear equations with one variable.
- I can solve one- and two-step equations.
- I can solve equations with fractions.
- I can solve multi-step equations with and without the distributive property.
- I can solve equations where the answers are no solution or identity.
EL: I can solve linear inequalities with one variable and two variables.
- I can solve a single variable linear inequality and represent the solution graphically.
- I can solve a linear inequality in two variables graphically.
EL: I can apply linear functions to model and solve application problems.
- I can solve word problems involving distance or work formulas.
- I can solve word problems involving direct variation.
EL: I know the formula for slope, am able to use the formula, and can apply that slope is a rate of change.
- I can find the slope of a line given two points.
- I can find the slope of a line reading from a graph.
- I can interpret the slope of a line from a graph.
EL: I can find the equation of a line from given information including a graph, the slope and y-intercept, slope and a point, two points.
- I can find the equation of a line given graph.
- I can find the equation of a line given two points.
- I can find the equation of a line given a slope and a point.
- I can find the equations of horizontal and vertical lines.
- I can find the equation of a line parallel or perpendicular to a given line through a given point.
EL: I can demonstrate computational fluency with addition, subtraction, multiplication, division, and powers of real numbers.
- I can evaluate expressions using order of operations.
- I can expressions by combining like terms and using the distributive property.
- I can convert units by using the appropriate ratios (dimensional analysis).
EL: I can solve a system of linear equations and liner inequalities.
- I can solve systems of linear equations using the methods graphing, substitution, and elimination.
- I can solve a system of inequalities graphically.
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- The student will solve linear equations with one variable.
- Solve one- and two-step equations.
- Solve equations with fractions and decimals.
- Solve multi-step equations with and without the distributive property.
- The student will know the formula for slope, be able to use the formula, and apply that slope is a rate of change.
- Find the slope given two points.
- Find the slope from a graph.
- The student will find the equation of a line from given information including a graph, the slope and y-intercept, slope and a point, two points.
- Find the equation of a line given a point and the slope.
- Find the equation of a line given two points.
- Find the equation of a line given a graph.
- Find the equation of a line parallel or perpendicular to a given line through a given point.
- The student will be able to solve a system of linear equations and inequalities.
- Solve a system of equations graphically.
- Solve a system of equations using the method of substitution.
- Solve a system of equations using the method of elimination.
- Find and solve a system of equations from a graph.
- Solve a system of inequalities graphically.
- Find a system of inequalities from a graph.
- The student will solve linear inequalities with one variable and two variables.
- Solve a single variable linear inequality and represent the solution graphically.
- Find a single variable linear inequality from a graph.
- Solve a linear inequality in two variables graphically.
- The student will demonstrate computational fluency with addition, subtraction, multiplication, division, and powers of real numbers.
- Evaluate expressions using order of operations.
- Simply expressions by combining like terms and using the distributive property.
- Convert units by using the appropriate ratios (dimensional analysis).
- The student will apply linear functions to model and solve application problems.
- Solve
application problems involving linear functions and systems of linear equations.
- Solve application problems involving direct variation.
- The student will read and interpret graphs.
