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.