I am learning advanced proportional and multiplicative reasoning skills such as working with fractions, decimals, percentages, ratios, and proportions. Some of the key areas I am focusing on include finding least common factors and highest common multiples, converting between fractions, decimals and percentages, ordering fractions with different denominators, and solving problems involving combining different proportions. I am also practicing solving multiplication and division problems with fractions and decimals using standard place value and compensating methods.
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1. Name: Panpan
Advanced Multiplicative to Advanced Proportional Da
I am learning to ...
Knowledge
Find Find t
Least common factors and highest common multiples, e.g. 6 is the HCF of 24 and
highest c
42.
to
Know Fraction to decimal to percentage conversions for 's, 's, 's, 's, 's, 's, e.g. = 0.6 = Know how
60% Decima
Know How many tenths, hundredths, thousandths are in decimals, e.g. 2.37 is 2370 Know
thousandths. hundredth
Read and order Fractions with different denominators, Read a
e.g. < < .
Strategy
Solve problems that Using weighting or averaging,
involve combining e.g. 25% of 36 combined with 75% of 24 gives 27 out of 60 (45% of 60).
different proportions
Solve × and ÷ problems Using standard place value, reversing, and compensating from tidy numbers, I can
with fractions and e.g. 0.7 × 3.9 = o as 0.7 × 3 = 2.1, by u
decimals by: 0.7 × 0.9 = 0.63, and 2.1 + 0.63 = 2.73. val
com
Converting from fractions to decimals to percentages, e.g. 80% of 53 = o conv
as 8 × × 53 = 8 × 5.3 = 42.4. Perce
Creating common denominators,
e.g. × =
or ÷ = o as ÷ = = 2 .
Solve problems with Using common factors to multiply between and within ratios,
fractions, ratios and e.g. 8:12 as o:21 as 8:12 = 2:3 (common factor of 4) so 2:3 = 14:21 (multiplying by
proportions by: 7).
Partitioning fractions and percentages, e.g. 85% of 36 = o as 10% of 36 = 3.6,
5% of 36 = 1.8, so 36 - 3.6 - 1.8 = 30.6.