SKILLS
MASTERY Name
_______________________ Per ___
OVERVIEW: One of the requirements of 7th grade math is that
you need to be a master of basic math skills—computation with fractions,
decimals, and percents—without using a calculator. These skills are critically important to
your success in math for the rest of your life.
By the end of the year, you will need to show mastery of these basic
skills. In earlier days, in order to master a craft such as becoming a
blacksmith or tailor, you had to first be an apprentice and then a journeyman. As you work on these skills, you
also will go from being an apprentice to a journeyman to a master by passing
tests in each of the Skill Levels.
SKILL LEVELS
You will do single and double-digit long division
with remainders. You will do
double-digit multiplication. You
will memorized single digit multiplication facts so that you can do 60 problems
in 3 minutes.
Adding/subtracting fractions
apprentice: You will add fractions with the same
denominators. You will simplify
simple fractions. You will add simple fractions with different
denominators. You will change
simple improper fractions to mixed numbers and vice-versa.
journeyman: You will extend the skills from your
apprenticeship to more difficult numbers.
You will add mixed numbers without changing them to improper fractions.
You will subtract mixed numbers without changing them to improper fractions.
Multiplying and dividing fractions
apprentice: You will multiply and reduce simple fractions. You
will divide and reduce simple fractions.
journeyman:
You
will extend the skills from your apprenticeship to more difficult numbers. You will multiply and divide mixed
numbers. You will reduce multiplication problems on the diagonal before
multiplying.
Adding and subtracting decimals
apprentice
and journeyman: You will add and subtract
decimals. You will convert decimals
into fractions.
Multiplying and dividing decimals
apprentice: You will multiply and divide powers of ten by
moving the decimal point. You
will convert fractions whose denominator is a power of 10 into a decimal. You will multiply simple decimals. You will divide decimals by whole
numbers, adding zeros to the end until you get to the approriate place
value.
journeyman:
You
will extend the skills from your apprenticeship to more difficult numbers. You will divide decimals by decimals.
You will convert fractions to decimals using division.
Percents
apprentice: You will memorize common percents and fractions,
such as 1/20 is 5%. You will
convert any percent to a decimal, and any decimal to a percent. You will find the percent of a number
for simple percents, such as 20%.
journeyman:
You
will extend the skills from your apprenticeship to more difficult numbers. You will find the percent of any number
for any percent. You will answer
questions such as Ò3 is 8% of what number?Ó. You will answer questions such as Ò3 is
what percent of 37.5?
PROCESS:
Skills Master: Your goal is to pass a test for
each of the Skill Level. Once you have passed the Journeyman test for each
Skill Level and passed the Skills Mastery Test, you have become a Skills Master. A Skills Master doesnÕt need to do any
more skills work in 7th grade.
It is REQUIRED that you become a Skills Master by the end of the year.
Skill packets: Each Skill Level has an
associated skill packet which you will get, which is also online. You can chose to complete the Skill
Levels in any order (but you must complete the apprentices before you start the
journeyman skills). The skill
packets are available online on my web site.
Weekly Skill Level evidence: Part of your weekly homework will be to turn in
evidence of Skill Level work on the first day of every week (usually
Monday). The evidence you turn in
depends on the Skill Level and is listed in the skill packet. Skill evidence homework must be done
without using a calculator.
Skill Level tests:
When you feel you have learned the skills required by the Skill Level,
you should ask me about taking the Skill Level test for that skill. Skill Level tests can be done with me
afterschool or during lab. They can
also be done with a parent or another teacher, who will need to certify that
you took the test on your own without any help or the use of a calculator. Once you take the Skill Level test, turn
it in to me for checking. There is no penalty to taking a Skill Level test and
not passing it. It just means you
need to continue working on that skill until you pass.
Skills Mastery Test :
After you have passed all the Skill Level tests, you will then need to take a Skills
Mastery Test, which shows that you remember all the skills. This test is pass/fail, and you can take
it as many times as you want with no penalty. The Skills Mastery Test MUST be taken
with me after school or during lab.
Help with Skill Levels: I will not be teaching skills basic math skills
during the regular math class. If you need help with your Skill Level, you will
need to either come see me after school or get help from a friend or parent. You can also use the videos on Khan
Academy or other web resources to learn these skills. Watching videos does NOT
count as practice for skill evidence.
Skills Mastery Assessment: At the beginning of the year, everyone will take
Skills Mastery Assessment in class.
This assessment does NOT count as part of your grade, but is used to
find out what you skills you have already mastered.
Grading: Part of your math grade depends on your Skill
Mastery work. For the first three
quarters, your grade is based on your progress (unless you are already a Skills
Master) —
á
you turned in your skill evidence weekly
á
you have completed the required skill level tests for that quarter
o Q1: Math facts, pre-skills, and TWO
addiional tests beyond the ones you passed in the pre-assessment
o Q2: All apprentice tests must be complete.
In addition, you may need to complete one or two journeyman tests.
o Q3: All journeyman tests
o Q4: Mastery test by 4th quarter
midterm
á
if you passed all your Skill Level tests in a previous term, you must
pass the Skills Mastery Test by the end of the quarter
In the last quarter, your skill grade will be based on whether or not
you have become a Skills Master by the end of the year. Remember, it is
REQUIRED that everyone become a Skills Master.
SUMMARY
á
Weekly
skill level evidence is turned in at the beginning of the week
á
You must
pass the required number of skill level tests by the end of the quarter
(depends on the quarter), and pass the mastery test by the middle of the 4th
quarter
SKILLS MASTERY
CHECKLIST Name
_______________________ Per ___
Please keep
track of your tests that you need to take!
SKILL TEST |
Passed? |
Math
facts |
|
Pre-skills |
|
Adding/subtracting
fractions APPRENTICE |
|
Multiplying/dividing
fractions APPRENTICE |
|
Adding/subtracting
decimals |
|
Multiplying/dividing
decimals APPRENTICE |
|
Percents
APPRENTICE |
|
Adding/subtracting
fractions JOURNEYMAN |
|
Multiplying/dividing
fractions JOURNEYMAN |
|
Multiplying/dividing
decimals JOURNEYMAN |
|
Percents
JOURNEYMAN |
|
____________________________
(name) has passed the Skill Mastery Test
and is a Math
Basic Skills Master.
Signed: _____________________________ (teacher)
, Date ______________