Mathematics 10

Referents and estimation for linear measure

I can estimate a length with a referent and pick a sensible SI or imperial unit.

Measuring and solving linear problems with instruments

I can measure lengths with real instruments and solve linear-measurement problems.

Converting units with proportional reasoning

I can convert a measurement between SI and imperial using proportional reasoning.

Verifying conversions with unit analysis

I can check a unit conversion with unit analysis and judge if it is reasonable.

Surface area and volume of prisms and cylinders

I can find the surface area and volume of right prisms and cylinders.

Surface area and volume of cones, pyramids, and spheres

I can find the surface area and volume of cones, pyramids, and spheres.

Composite objects and unknown dimensions

I can solve composite-object problems and find a missing dimension from a given surface area or volume.

Defining and setting up the primary trig ratios

I can identify opposite, adjacent, and hypotenuse and write the correct trig ratio.

Solving right triangles and indirect measurement

I can solve right triangles and use trig for indirect measurement.

Identifying and ordering irrational numbers

I can identify irrational numbers and place them in order.

Simplifying and converting radicals

I can convert between mixed and entire radicals and simplify.

Applying exponent laws with rational exponents

I can simplify expressions using the exponent laws, including rational exponents.

Converting between powers and radicals

I can rewrite a rational-exponent power as a radical and back, and solve related problems.

Multiplying binomials with an area model

I can multiply two binomials using an area model.

Multiplying polynomials symbolically

I can multiply polynomials symbolically and combine like terms.

Removing common factors

I can factor out the greatest common factor of a polynomial.

Factoring trinomials and differences of squares

I can factor a trinomial and recognize a difference of squares.

Interpreting graphs and situations

I can read a graph as a story and sketch a graph for a situation.

Domain and range from data

I can state the domain and range of a relation, including real-world restrictions.

Distinguishing relations and functions

I can decide whether a relation is a function.

Slope as rise over run and rate of change

I can find a slope from rise over run and read it as a rate of change.

Parallel and perpendicular slopes

I can use slope to test whether lines are parallel or perpendicular.

Representing linear relations many ways

I can represent a linear relation as words, a table, a graph, and an equation.

Characteristics of a linear graph

I can find the intercepts, slope, domain, and range of a linear graph.

Slope-intercept form

I can graph and write a line in slope-intercept form.

General form and rewriting between forms

I can write a line in general form and convert between forms.

Slope-point form

I can write a line in slope-point form from a slope and a point.

Equation from a graph or a point and slope

I can write a line's equation from a graph or from a point and slope.

Equation from two points

I can write a line's equation from two points.

Equation from a parallel or perpendicular line

I can write a line's equation through a point parallel or perpendicular to a given line.

Representing a linear function with function notation

I can write and evaluate a linear function in function notation.

Solving systems graphically

I can solve a system of linear equations by graphing and interpret the intersection.

Solving systems algebraically

I can solve a system of linear equations algebraically.

Best buys with unit pricing

I can compare unit prices and find a percent change to choose a best buy.

Currency exchange

I can convert between currencies and read exchange rates.

Calculating gross pay

I can calculate gross pay from different income methods.

Calculating net pay after deductions

I can calculate net pay after deductions.

Building a personal budget

I can create and adjust a personal budget.