Mathnasium Methods Questions and Answers 100% Accurate
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Course
Mathnasium
Institution
Mathnasium
Mathnasium Methods Questions and Answers 100% Accurate
Naming Fractions
1) Use their names (fifths, fourths)
2) Name is # of pieces in whole
3) Also called denominator
Common mistakes:
- Add denominators (1/9 + 3/9) = 4/18
- Remind them that 9 is the name, not the amount of parts
Or...
Mathnasium Methods Questions and
Answers 100% Accurate
Naming Fractions - answer1) Use their names (fifths, fourths)
2) Name is # of pieces in whole
3) Also called denominator
Common mistakes:
- Add denominators (1/9 + 3/9) = 4/18
- Remind them that 9 is the name, not the amount of parts
Ordering fractions - greater than/less than one-half - answer Use fraction milestones to
order them, don't need to find common denominator
Ordering fractions - More in depth than one half - answer Use close to 1 (⅞) or almost
zero (1/20)
If milestones don't work, use LCM
Common mistakes:
- Use common denominators too quickly
- Pick fractions with smaller denominator to be the biggest, because they have bigger
parts
Making Ones Whole - answerHow many fifths are in a whole?
Note:
- Remind them that bigger numbers use same concepts, ask them "how many thirtieths
in a whole?" "How many in half of a whole?"
Improper Fractions and Mixed Numbers - answer- DRAW IT OUT
- Read as 11 fourths rather than 11 over 4
- How many fourths in one whole?
Common mistakes
- Not shading fourths methodically
- Not connecting shaded regions with fraction
Fractional Parts - answerE.g. 3/7 of 49
, - What does the bottom number mean?
- What's 1/7 of 49?
- That, but three times
Common mistakes
- They forget this, but keeping reminding them!
Decimals - answer- Read 45.27 as 45 and 27 hundredths (not point 27)
Common student mistakes
- Confusing tenths with oneths"
Note:
- Could help to show them what happens when you add .09 and .01 together
Reasoning in Groups - answerEncourage them to think in groups visually, have them
draw it out
- 1 milk crate has 3 bottles, if 12 bottles are distributed, how many groups of 3 bottles is
that?
DON'T USE RATIOS
Common mistakes:
- Mismatching units
- Help them understand what unit they are working with, and what they are trying to find
Order of Operations - answerUnderline each operation as they go, or rewrite expression
after each step
WRITE OUT THE ENTIRE EXPRESSION
Common mistakes:
- All multiplication before division, all addition before subtraction
- ask them which is more important between multiplication and division?
- Forget to rewrite the expression, do it in wrong order
Solving Proportions - answer1. Show them that they can be thought of equivalent
fractions
2. Equivalent fractions have equal cross products
3. Can use that to solve proportions
Common mistakes
- Using cross products instead of easier equivalent fractions
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