Maths Goals

As we are wrapping up our fractions work, we have moved into inquiry maths. This is where students identify their learning goals & work to learn how to solve problems either independently or with others. Everyone has set initial fraction goals & will provide explanations & examples of how to solve problems.

Have a chat with your child about what they need to learn to do.

This is what we are currently working on in maths.
Over the next fortnight we will provide examples of how to meet these goals... so keep checking.
MATHS GOALS

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?
  

  • (With same or different denominators)
• 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?

----------------------------------------------------------------------------------------------------------------

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.