http://www.nzmaths.co.nz/nzc-glossary-mathematics-terms
Here are our maths goals for fractions, decimals & percentages. Please discuss your child's goals with them & ask them to give you examples.
MATHS GOALS weeks 1 & 2 of term 2
Can you do this?
Fractions
- Understand & model improper fractions and mixed numbers?
- Simplify fractions (using manipulatives if required)?
- Model addition, subtraction, multiplication and division of fractions?
- Convert improper fraction to mixed number and vice versa?
- Simplify fractions in mental and written form?
- Read, write, compare and order fractions?
Can you do this?
Decimals
- Model decimal fractions to the thousandths or beyond?
- Model addition, subtraction, multiplication and division of decimals?
- Model addition and subtraction of decimals to the hundredths place?
- Read, write, compare and order decimal fractions to thousandths and beyond
Can you do this?
Percentages
- Understand that fractions, decimals and percents are ways of representing whole-part relationships?
- Understand the relationship between simple fractions, decimals and percentages?
- Convert between fractions decimals and percentage?
- Find percentages of quantities eg25% of 60?
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A STEP FURTHER
Can you?
- Find a unit fraction of by halving
e.g. ¼ of 20 as ½ of 20 = 10, ½ of 10 = 5.
- Find a unit fraction of: A set using multiplication,
e.g. ⅕ of 35 using 5 × 7 = 35.
- Read and Order Decimals to three places
e.g. 6.25 < 6.3 < 6.402
- Know Equivalent fractions including halves, thirds, quarters, fifths, tenths, hundredths,
e.g. ⅗ = 6/10 and ¾ = 75% = 0.75
- Know How many 1/10 ’s, 10’s, 100’s and 1000’s are in whole numbers up to 1000 000,
e.g. there are 3879 tenths in 387.9
- Solve + and – problems with fractions, decimals, and integers by:
- Splitting fractions and using equivalent fractions,
e.g. 3/4 + 5/8 = † as ( 3/4 + 2/8 ) + 3/8 = ( 3/4 + 1/4 ) + 3/8 = 1 3/8 .
- Using standard place value, reversing, and tidy numbers with decimals,
e.g. 2.4 – 1.78 = † as 1.78 + † = 2.4 or 2.4 – 1.8 + 0.02 = 0.62.
- Solve + and – problems with fractions, decimals, and integers by:
- Expressing division answers and remainders as mixed numbers and fractions,
e.g. 24 ÷ 5 = 24/5 = 4 ⅘
- Know Fraction to decimal to percentage conversions for 1/2 ’s, 1/4’s, 1/ 5’s, 1/8’s, 1/10’s, 1/3 ’s,
e.g. 5 3 = 0.6 = 60%
- Know How many tenths, hundredths, thousandths are in decimals, e.g. 2.37 is 2370 thousandths.
- Read and order Fractions with different denominators,
e.g. 2/5 < 7/16 < 1/2
- Solve problems that involve combining different proportions Using weighting or averaging,
e.g. 25% of 36 combined with 75% of 24 gives 27 out of 60 (45% of 60).
- Solve problems using standard place value, reversing, and compensating from tidy numbers,
e.g. 0.7 × 3.9 = † as 0.7 × 3 = 2.1, 0.7 × 0.9 = 0.63, and 2.1 + 0.63 = 2.73.
- Solve problems Converting from fractions to decimals to percentages,
e.g. 80% of 53 = † as 8 × 1/10 × 53 = 8 × 5.3 = 42.4.
- Solve × and ÷ problems with fractions and decimals by:
- Creating common denominators,
e.g. 3/5 × 3/4 = 9/20 or 2/3 ÷ 1/4 = † as 8/12 ÷ 3/12 = 8/3 = 2 2/3
- Using common factors to multiply between and within ratios, e.g. 8:12 as †:21 as 8:12 = 2:3 (common factor of 4) so 2:3 = 14:21 (multiplying by 7). Solve problems with fractions, ratios and proportions by: Partitioning fractions and percentages, e.g. 85% of 36 = † as 10% of 36 = 3.6, 5% of 36 = 1.8, so 36 – 3.6 – 1.8 = 30.6.
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