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Jill$Gough$in$collaboration$with$Sam$Gough$for$AP$Calculus$ July,$2013$

A$Definition$of$the$Derivative$ $ Name$

f (x) = limh0

f(x + h) f(x)

h$

Formative$Assessment$$$ $ $ $ Date$ $ $ $ Period$

$

I$can$find$ f (x) $using$the$ limh0

f(x + h) f(x)

h$limit$definition$of$a$derivative.$

$

Level%1:$$I$can$evaluate$functions$using$function$notation$when$x $is$a$constant.$

$

1. If$ f(x) = 3x 4 ,$find$ f(3) .$$$

$

$

$$

2. If$ f(x) = x2 3x + 22x 1

x 2

x < 2,$

find$ f(4) .$

$$

3. If$ f(x) = 2x 4x2 4

,$find$ f(2) .$

$

$

$

$$

$4. If$ f(x) = 3cos(x) ,$find$ f() .$

$

$

$

$$

$

$$

$

Level%2:$$I$can$simplify$polynomial$and$rational$expressions.$

$

5. Expand$and$simplify$(x+ 3)2 (x 3)+ 2 .$$$

$

$

$$

$

6. Expand$and$simplify$(x+ 2)2 x2 .$$

$

$

$

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Jill$Gough$in$collaboration$with$Sam$Gough$for$AP$Calculus$ July,$2013$

7. $$Simplify:$ 3x2 + 6xx

.$

$

$

$

$$

$$

$

8. Simplify:$ x2 4x

2 3x10

.$

$

$$

$$

$

$$

$

$

$

$

Level%2:$$I$can$evaluate$functions$using$function$notation$when$x $is$a$variable$$

$$ $$$$expression.$

$9. If$ f(x) = 2x +1 ,$find$ f(1 h) .$

$

$

$

$$

$

$

$

10.If$ f(x) = 2x2 ,$find$ f(x + h) .$$

$

$

$

$

$

$

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Jill$Gough$in$collaboration$with$Sam$Gough$for$AP$Calculus$ July,$2013$

11.If$ f(x) = x2 x 2 ,$find$ f(x h) .$$

$

$

$

$$

$$

$

$

12.If$ f(x) = 2x2 x ,$find$ f(2 + h) .$$

$

$

$

$$

$

$

$

$$

$

$

Level%3:$$I$can$find$ f (x) $using$the$ limh

0

f(x + h) f(x)

h

$limit$definition$of$a$derivative.$$$

$

13.$$If$ f(x) = 2x + 5 ,$find$ f (2) $.$$

$

$

$

$

$

$

$

$$

$$

$$

$

$

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Jill$Gough$in$collaboration$with$Sam$Gough$for$AP$Calculus$ July,$2013$

$

14.$$If$ f(x) = x2 3x + 2 ,$find$ f (1) $.$$

$

$

$$

$$

$

$$

$$

$

$

$$

$

$

15.$$If$ f(x) = x2 2x ,$find$ f (x) $.$$$

$

$

$

$$

$

$

$

$

$$

$$

$

$$

$$

$

$

$

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Jill$Gough$in$collaboration$with$Sam$Gough$for$AP$Calculus$ July,$2013$

$

$

16.$$If$ f(x) = 2x2 x +1 ,$find$ f (x) .$$

$

$$

$$

$

$$

$$

$

$

$$

$

$

$

Level%4:$$I$can$find$a$function,$f(x) ,$when$given$ f (x) .$$$

$17.$$If$$ f (x) = 4x 5 ,$find$ f(x) .$

$

$

$$$

18.$$If$$ f (x) = x2 3x + 2 ,$find$ f(x) .$$

$

$

$$

19.$$If$$ f (x) = 4 ,$find$ f(x) .$$

$$

$

$

20.$$If$$ f (x) = x3 x2 + 2 ,$find$ f(x) .$.$$$

$

$

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Jill$Gough$in$collaboration$with$Sam$Gough$for$AP$Calculus$ July,$2013$

$$

A$Definition$of$the$Derivative$ $ Name$Table$of$Specifications$$ $ $ $ Date$ $ $ $ Period$

$

Circle%the%number%of%each%question%where%you%missed%something.%In%the%Percent%Correct%

column,%record%the%percent%of%questions%worked%correctly%for%each%category.%

Content$ Question$Number$Simple$

Mistake$

Study$

needed$

Percent$(%)$

Correct$

EL:%%I$can$find$ f (x) $using$the$ limh0

f(x + h) f(x)

h$limit$definition$of$a$derivative.$

I$can$evaluate$functions$using$function$

notation$when$ x $is$a$constant.$1,$2,$3,$4$ $ $ $

I$can$simplify$polynomial$and$rational$

expressions.$5,$6,$7,$8$ $ $ $

I$can$evaluate$functions$using$function$

notation$when$ x $is$a$variable$expression.$9,$10,$11,$12$ $ $ $

I$can$find$

f (x) $using$the$

limh0

f(x + h) f(x)

h$limit$definition$of$a$

derivative.$$%

13,$14,$15,$16$ $ $ $

I$can$find$a$function,$ f(x) ,$when$given$its$

derivative, f (x) .$$$17,$18,$19,$20$ $ $ $

$

Identify%the%level%where%your%work%is%most%consistently%correct.%

I%am%here% Level% Knowing%the%content.%

$ 4% I$can$find$a$function,$ f(x) ,$when$given$ f (x) .$$%

$ 3% I$can$find$ f (x) $using$the$ limh0

f(x + h) f(x)

h$limit$definition$of$a$derivative.$$ %

$ 2%I$can$evaluate$functions$using$function$notation$when$ x $is$a$variable$expression.$

I$can$simplify$polynomial$and$rational$expressions. %

$ 1% I$can$evaluate$functions$using$function$notation$when$ x $is$a$constant.%

%

Identify%the%level%where%your%work%is%most%consistent.%

I%am%here% Level% Showing%your%work:%

$ 4% I$have$the$correct$answer.$$I$have$stated$the$formula$where$applicable.$$I$have$shown$enough$work$to$indicate$my$thinking.$$My$work$is$organized$and$easy$follow.$

$ 3% I$have$the$correct$answer.$$My$work$is$organized$and$easy$follow.$

$ 2% I$have$an$answer$with$some$work,$but$my$work$is$messy$or$difficult$to$follow.$

$ 1% I$have$an$answer$without$any$supporting$work.$

$

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