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5 x 5 (5^2) 5 (5^1 ) 4 (5^0) EDEE230- FINAL EXAM REVIEW Number sense & numeration Whole numbers: place value → ie: the 1 in 12 is 10, not 1, base → ie: 125, in a grid, 10^2 (100), 10^1 (20), 10^0 (5) Eg : 34 in base 10: 10^1 (would be 3) and 10^0 =4→ 3 lines of 10 blocks and 4 single blocks! Eg2: 34 in base 5 5^2 (25) 5^1 (5) 5^0 (1) 1 1 4 Fractions - Big ideas in fractions: → part/whole relationships (parts are equal share/portion): importance of equal parts: (if not equal part then we cannot compare apple to oranges → ½ of a shooter is not the same as ½ of a litre of juice) → “the whole matters”: importance of the whole ( what it is we are trying to find a part of whatever it is) → number sense (½, ¼= unit fractions): “Unit fraction” → when 1 is the numerator - Judgement of relative size : The higher the denominator the smaller the parts - Comparison to benchmarks : “Benchmark number/ anchor number” (½, ⅓, ¼, 1 etc) → numbers that are easily remembered when trying to represent them in our heads (you can add or minus from there) - The meaning of different representations of fractions ( cuisenaire rods, part of a rectangular, circle, triangles, a clock, and a number line.. cutout→ to represent fractions/ find the meaning of fractions with different tools in various situations - Meaning of the numerator (piece of the whole) and denominator (the whole) Decimals - Meaning of decimal place values: 0.1 = 1 tenth = 10^-1 - Representing decimals with Base-10 blocks: → use the 10x10 (100) block as 1, the 1x10 (10) for 0.1 and the single blocks (1) for 0.01. (if 0.001 in this case then you need to use the cube as 1 the square as 0.1 the stick 0.01 and the unit as 0.001) Operations: Addition, Subtraction, Multiplication, & Division Problem types for addition & subtraction Join Result Unknown A + B= __ Change Unknown A + __ = C Initial Unknown __ + B = C Separate Result Unknown A - B = __ Change Unknown A - __ = C Initial Unknown __ - B = C Part-Part- Whole Whole Unknown A + B = __ Part Unknown A + __ = AB or __ + B = AB Compare Difference Unknown Q1 - Q2 = D Quantity Unknown Q1 +/- D = Q2 Problem types for multiplication and division SIZE OF GROUP= GS, # OF GROUPS= G#, TOTAL QUANTITY= TQ→ Partitive division : size of group (unknown) , number or groups and total quantity (equal distribution/ fair sharing) eg : Mr Gomez has 12 cupcakes (TQ). He wants to put the cupcakes into 4 boxes so that there is the same number in each box (G#). How many cupcakes can go in each box (GS)?
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  • Fall '16
  • Annie Savard
  • Fractions, Adam, Elementary arithmetic, conceptual knowledge, fair sharing

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