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Mathnasium Methods Questions and Answers 100% Accurate

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  • Mathnasium
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  • 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...

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  • September 27, 2024
  • 7
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • Mathnasium
  • Mathnasium
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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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