NA1-1: Use a range of counting, grouping, and equal-sharing strategies with whole numbers and fractions.
This means students will use counting strategies including counting on and back, double counting, and skip counting. This corresponds to the counting stages of the number framework so achieving level one means that a student is at the Advanced Counting Stage. Examples of their strategies might be: to calculate 6 + 5 count 7, 8, 9, 10, 11, to calculate 12 – 3 count 11, 10, 9, or to calculate three groups of three double counting 1, 2, 3,...4, 5, 6,...7, 8, 9. Grouping and equal sharing strategies are simple ways to solve addition, subtraction, multiplication and division, and fractions of sets problems without counting every object. Examples of these strategies might be: knowing 4 + 4 equals 8, skip counting 5, 10, 15, 20 to count four groups of five, or sharing objects in ones, twos or threes to find one quarter of a set of 12 items.
- Solve addition problems with numbers up to 20.
- Divide numbers up to 10 into equal groupings.
- Develop an understanding of 100 and the quantity for which it stands.
- Count to 100.
- Understand the relationship between 100 and 10.
- Explore the numerals to ten.
- Instantly recognise patterns within and for ten.
- Make and record groupings within and for ten.
- Recall and apply groupings to ten using te reo Māori.
- Recognise the usefulness of just knowing combinations to ten.
- Use an ‘if I know ___, then I know___’ approach to solving number300
Students will be able to create a model of a doubling sequence and express it in terms of addition (n+n) or multiplication (2 groups of n or 2 x n).
- Recognise NZ notes and coins.
- Compare values of NZ coins.
- Skip count in 10s.
- Use coins to make totals.
- Solve problems up to 20 using subtraction and addition.
Count up to 50 objects by grouping the objects in tens.
- Use simple problem solving strategies.
- Solve a simple problem involving number.
Solve addition problems to 20 by joining sets and counting all the objects.
Solve addition problems to 100 by counting on in their heads.
Count up to 50 objects by grouping the objects in tens.
- Find half and double of given sets.
- Devise and use problem solving strategies (draw a picture, use equipment, guess and check, be systematic).
- Add several small numbers.
- Devise and use problem solving strategies to explore situations mathematically. This problem uses guess and check, be systematic, draw a picture, and think.
- Divide a region into two equal parts through folding or cutting.
- Demonstrate that the two parts are equal and describe these parts as halves.
- Skip count in twos and fives.
- Skip count to solve simple multiplication problems with a sum of up to 20.
- Solve simple multiplication problems in various ways and talk about how they found the answer.
- Instantly recognise patterns for teen numbers.
- Make groups of ten and represent teen numbers with materials.
- Recognise and record words and symbols for teen numbers.
- Understand that in a teen number the 1 represents one group of ten.
- Expand teen number notation and understand simple place value.
- Understa300
- Identify a number pattern.
- Identify repeating patterns in texts.
- Guess and check for the next number in a pattern.
- Predict "what comes next" based on the understanding of the pattern in number and text.
Form a set of objects in the range 1–10.
Identify all of the numbers in the range 0–10.
Solve addition problems to 100 by counting on in their heads.
Solve addition problems to 100 by counting on in their heads.
Solve addition and subtraction problems using groups of ten.
Solve addition problems to 100 by counting on in their heads.
- Partition a length, area or volume into equal parts.
- Partition a set into equal parts and anticipate the result.
- Recognise that the numerator of a fraction is a count.
- Recognise that the bottom number of a fraction gives the size of the parts being counted.
Solve addition and subtraction problems using groups of ten.