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Math 10C Outcome Checklist

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Math 10C Outcome Checklist
Chapter 1 – Measurement
Specific Outcomes
 M1
o Solve problems that involve linear measurement, using:
 SI and imperial units of measure,
 estimation strategies,
 measurement strategies.
 M2
o Apply proportional reasoning to problems that involve conversions between SI and
imperial units of measure.
Outcome Checklist – I Can
 1.1
 I can justify the choice of units used for determining a measurement.
 I can solve problems that involve linear measurement.
 I can explain the process used to estimate a linear measurement.
 1.2
 I can provide referents for linear measurements.
 I can describe a personal strategy used to make a linear measurement.
 I can solve problems that involve linear measurement using instruments.
 I can estimate a linear measurement using a referent.
 1.3
 I can compare SI and imperial units using referents.
 I can solve problems that involve conversion of linear measurements between SI and
imperial systems.
 I can use mental mathematics to confirm the reasonableness of a solution to a conversion
problem.
Math 10C Outcome Checklist
Chapter 2 – Measurement
Specific Outcomes
 M1
o Solve problems that involve linear measurement, using:
 SI and imperial units of measure,
 estimation strategies,
 measurement strategies.
 M3
o Solve problems, using SI and imperial units, that involve the surface area and volume of
3-D objects, including:
 right cones,
 right cylinders,
 right prisms,
 right pyramids,
 spheres.
Outcome Checklist – I Can
 2.1
 I can solve problems that involve area and volume units within SI and imperial systems.
 I can use mental math to judge the reasonableness of a solution to a problem.
 2.2
 I can solve problems involving the surface area of three-dimensional objects.
 I can find an unknown dimension of a three-dimensional object given its surface area.
 2.3
 I can solve problems involving the volume of three-dimensional objects.
 I can find an unknown dimension of a three-dimensional object given its volume.
Math 10C Outcome Checklist
Chapter 3 – Right Triangle Trigonometry
Specific Outcomes
 M4
o Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve
problems that involve right triangles.
Outcome Checklist – I Can
 3.1
 I can explain the relationships between similar triangles and the definition of the
tangent ratio.
 I can identify the hypotenuse, opposite side, and adjacent side for a given acute angle
in a right triangle.
 I can develop strategies for solving right triangles.
 I can solve problems involving one or more right triangles, using the tangent ratio.
 3.2
 I can use the sine ratio and cosine ratio to solve problems involving right triangles.
 I can solve problems that involve direct and indirect measurement.
 3.3
 I can explain the relationships between similar right triangles and the definitions of the
trigonometric ratios.
 I can solve right triangles, with or without technology.
 I can solve problems involving one or more right triangles.
Math 10C Outcome Checklist
Chapter 4 – Exponents and Radicals
Specific Outcomes
 AN1
o Demonstrate an understanding of factors of whole numbers by determining the:
 Prime factors,
 greatest common factor,
 least common multiple,
 square root,
 cube root.
 AN2
o Demonstrate an understanding of irrational numbers by:
 representing,
 identifying and simplifying irrational numbers,
 ordering irrational numbers.
 AN3
o Demonstrate an understanding of powers with integral and rational exponents.
Outcome Checklist – I Can
 4.1
 I can determine the square root of a perfect square and explain the process.
 I can determine the cube root of a perfect cube and explain the process.
 I can solve problems involving square roots or cube roots.
 4.2
 I can apply the exponent laws to expressions using rational numbers or variables as bases
and integers as exponents.
 I can convert a power with a negative exponent to an equivalent power with a positive
exponent.
 I can solve problems that involve powers with integral exponents.
 4.3
 I can apply the exponent laws to expressions using rational numbers or variables as bases
and rational exponents.
 I can solve problems that involve powers with rational exponents.
 4.4
 I can represent, identify, and simplify irrational numbers.
 I can convert between powers with rational exponents and radicals.
 I can convert between mixed radicals and entire radicals.
 I can solve problems involving radicals.
Math 10C Outcome Checklist
Chapter 5 – Polynomials
Specific Outcomes
 AN1
o Demonstrate an understanding of factors of whole numbers by determining the:
 prime factors,
 greatest common factor,
 least common multiple,
 square root,
 cube root.
 AN4
o Demonstrate an understanding of the multiplication of polynomial expressions (limited to
monomials, binomials, and trinomials) concretely, pictorially, and symbolically.
 AN5
o Demonstrate an understanding of common factors and trinomial factoring, concretely,
pictorially, and symbolically.
Outcome Checklist – I Can
 5.1
 I can multiply polynomials.
 I can explain how multiplication of binomials is related to area and to the multiplication
of two-digit numbers.
 5.2
 I can determine prime factors, greatest common factors, and least common multiples of
whole numbers.
 I can write polynomials in factored form.
 I can apply their understanding of factors and multiples to solve problems.
 5.3
 I can develop strategies for factoring trinomials.
 I can explain the relationship between multiplication and factoring.
 5.4
 I can factor the difference of squares.
 I can factor perfect square trinomials.
Math 10C Outcome Checklist
Chapter 6 - Linear Relations and Functions
Specific Outcomes
 RF1
o Interpret and explain the relationships among data, graphs, and situations.
 RF3
o Demonstrate an understanding of slope with respect to:
 rise and run,
 parallel lines,
 line segments and lines,
 perpendicular lines.
 rate of change,
 RF5
o Determine the characteristics of the graphs of linear relations, including the:
 intercepts,
 domain,
 slope,
 range.
 RF6
o Relate linear relations expressed in:
 slope–intercept form (y = mx + b),
 general form (Ax + By + C = 0),
 slope–point form (y – y1 = m(x – x1)), to their graphs.
 RF7
o Determine the equation of a linear relation, given:
 a graph,
 a point and the equation of a
 a point and the slope,
parallel or perpendicular line, to
 two points,
solve problems
Outcome Checklist – I Can
 6.1
 I can describe a possible situation
for a graph.
 I can sketch a graph for a given
situation.
 6.2
 I can determine if a relation is
linear.
 I can represent linear relations in
a variety of ways.
 I can explain why data points
should or should not be
connected.
 I can identify the dependent and
independent variables in a
relation.
 6.3
 I can understand the meaning of
domain/range.
 I can express domain and range
in a variety of ways.

6.4
 I can sort relations into functions
and non-functions.
 I can use notation specifically
designed for functions.
 I can graph linear functions.

6.5
 I can determine the slope of a
line.
 I can use slope to draw lines.
 I can understand slope as a rate
of change.
 I can solve problems involving
slope.
Math 10C Outcome Checklist
Chapter 7 - Linear Equations and Graphs
Specific Outcomes
 RF1
o Interpret and explain the relationships among data, graphs, and situations.
 RF3
o Demonstrate an understanding of slope with respect to:
 rise and run,
 parallel lines,
 line segments and lines,
 perpendicular lines.
 rate of change,
 RF5
o Determine the characteristics of the graphs of linear relations, including the:
 intercepts,
 domain,
 slope,
 range.
 RF6
o Relate linear relations expressed in:
 slope–intercept form (y = mx + b),
 general form (Ax + By + C = 0),
 slope–point form (y – y1 = m(x – x1)), to their graphs.
 RF7
o Determine the equation of a linear relation, given:
 a graph,
 a point and the equation of a
 a point and the slope,
parallel or perpendicular line, to
 two points,
solve problem.
Outcome Checklist – I Can
 7.1
 I can identify the slope and yintercept of a straight-line graph.
 I can determine a linear equation
using slope and y-intercept.
 I can rewrite a linear relation in
slope-intercept form.
 I can graph equations in slopeintercept form.
 I can solve problems using
equations in slope-intercept
form.
 7.2
 I can convert a linear equation to
general form.
 I can use intercepts to graph a
line.
 I can relate the intercepts of a
graph to the situation.
 I can solve problems using
equations in general form.

7.3
 I can write the equation of a line
from its slope and a point on the
line.
 I can convert equations among
the various forms.
 I can write the equation of a line
from two points on the line.
 I can solve problems involving
equations in slope-point form.

7.4
 I can identify whether two lines
are parallel, perpendicular, or
neither.
 I can write the equation of a line
using the coordinates of a point
on the line and the equation of a
parallel or perpendicular line.
 I can solve problems involving
parallel and perpendicular lines.
Math 10C Outcome Checklist
Chapter 8 - Solving Systems of Linear Equations Graphically
Specific Outcomes
 RF1
o Interpret and explain the relationships among data, graphs, and situations.
 RF3
o Demonstrate an understanding of slope with respect to:
 rise and run,
 line segments and lines,
 rate of change,
 parallel lines,
 perpendicular line.
 RF7
o Determine the equation of a linear relation, given:
 a graph,
 a point and the slope,
 two points,
 a point and the equation of a parallel or perpendicular line, to solve problem.
 RF9
o Solve problems that involve systems of linear equations in two variables, graphically and
algebraically.
Outcome Checklist – I Can
 8.1
 I can explain the meaning of the point of intersection of a system of linear equations.
 I can solve a system of linear equations graphically, with and without technology.
 8.2
 I can model a situation using a system of linear equations.
 I can interpret information from the graph of a system of linear equations.
 I can solve problems involving systems of linear equations.
 8.3
 I can explain why a system of linear equations may have no solution, one solution, or an
infinite number of solutions.
 I can predict and verify the number of solutions a system of linear equations has.
Math 10C Outcome Checklist
Chapter 9 - Solving Systems of Linear Equations Algebraically
Specific Outcomes
 RF9
o Solve problems that involve systems of linear equations in two variables, graphically and
algebraically.
Outcome Checklist – I Can
 9.1
 I can solve systems of linear equations algebraically using substitution.
 9.2
 I can write equivalent equations to eliminate a variable.
 I can solve systems of linear equations algebraically using elimination.
 9.3
 I can choose a strategy to solve a problem that involves a system of linear equations.
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