diff --git a/publication/publication-rs.ptx b/publication/publication-rs.ptx index 4db5d5d..574f0b4 100644 --- a/publication/publication-rs.ptx +++ b/publication/publication-rs.ptx @@ -72,7 +72,7 @@ - + diff --git a/publication/publication.ptx b/publication/publication.ptx index b9a5228..f0da44a 100644 --- a/publication/publication.ptx +++ b/publication/publication.ptx @@ -67,11 +67,12 @@ + - + diff --git a/source/bookinfo.xml b/source/bookinfo.xml index 2e9bbd9..4c3804f 100644 --- a/source/bookinfo.xml +++ b/source/bookinfo.xml @@ -51,12 +51,12 @@ Preview Activity - Section Objectives + Foundations - Exercise + Foundational Exercise - + diff --git a/source/sec-1-1-vel.xml b/source/sec-1-1-vel.xml index 8f233f5..67db363 100644 --- a/source/sec-1-1-vel.xml +++ b/source/sec-1-1-vel.xml @@ -38,24 +38,31 @@ - + Foundational Exercises + + + + - Additional Section Exercises + Additional Practice Exercises + Average rate of change from a table + + + Average speed from two values + - - - --> + Average rate of change from two values + + + - + + - - Foundational Exercises - - - - + diff --git a/source/sec-1-2-lim.xml b/source/sec-1-2-lim.xml index 3af3281..ccdb202 100644 --- a/source/sec-1-2-lim.xml +++ b/source/sec-1-2-lim.xml @@ -38,63 +38,141 @@ - Additional Section Exercises + Foundational Exercises +

+ This section is about limits, the behavior of a function's output value as the input value is getting closer + and closer (but not equal to) a specified number. A function can be described by a graph, a table of values, + or by an algebraic formula, so we work on interpreting limits of functions described in graphical, numerical, and algebraic ways. +

+

+ It would be helpful to practice how we can interpret information about a function from a graph, or from a + piecewise description of a function. Calculating an algebraic limit can also require us to use algebraic simplification + techniques such as factoring, combining rational functions using a common denominator, and rationalizing a radical function + using the conjugate. +

+ Values of a piecewise function + + + Values of a piecewise function + + + Output and input values from a graph + + + Values from a graph + + + Factoring + + + Factoring + + + Factoring + + + Factoring + + + Factoring + + + Factoring numerator and denominator + + + Factoring numerator and denominator + + + Adding rational functions + + + Adding rational functions + + + Adding rational functions + + + Adding rational functions + + + Radicals and conjugates + + + Rationalizing radicals + + + Rationalizing radicals + + + Rationalizing radicals + + +
+ + + Additional Practice Exercises - - - - + Limits from a graph + + + + + Limits from a graph - + Limits from a graph - + Limits from a graph - + Limits with a piecewise function - + Limits with a table - + Limits with a table - + Algebraic limit - + Algebraic limit: factoring - + Algebraic limit: factoring - + Algebraic limit: factoring - + Algebraic limit: common denominator - + Algebraic limit: common denominator - + Algebraic limit: rationalizing and conjugate - + Algebraic limit: rationalizing and conjugate + Average and instantaneous velocity + + + Average and instantaneous velocity + + + + + -
+ - Foundational Exercises - - - -