Grade 2
Grade 2 Mathematics Tutoring
Live online Grade 2 maths in groups of four: numbers to 999, addition with carrying, subtraction with borrowing, the 2, 5 and 10 times tables, and telling the time.
The short answer
Grade 2 mathematics extends place value to 999 and makes written methods formal. The year covers addition with carrying, subtraction with borrowing, multiplication as repeated addition with the 2, 5 and 10 tables, division as sharing, halves and quarters, measurement, telling the time, and 2-D and 3-D shapes.
What we cover in Grade 2 Mathematics
- Numbers up to 999
- Place value: hundreds, tens and ones
- Addition with carrying
- Subtraction with borrowing
- Multiplication as repeated addition; the 2, 5 and 10 times tables
- Division as sharing and grouping
- Halves, quarters and simple fractions
- Measuring length, mass and capacity
- Telling the time and using a calendar
- 2-D and 3-D shapes, straight lines and patterns
By the end of the year
- Read, write, compare and order numbers up to 999 and explain what each digit is worth.
- Add and subtract 2- and 3-digit numbers with carrying and borrowing, and recall the 2, 5 and 10 times tables.
- Measure length, mass and capacity in standard units and tell the time to five minutes.
Where students get stuck
- Subtraction that requires borrowing across a zero, such as 302 − 147.
- Learning times tables as a memorised chant with no link to repeated addition or arrays, so the facts collapse inside a word problem.
What changes from Grade 1
Hundreds arrive, and with them the column methods. A Grade 1 child works with quantities they can picture; a Grade 2 child works with a written procedure that stands in for the quantity, and the procedure only holds up if the place value underneath it is solid.
Multiplication and division also appear for the first time, as repeated addition and as sharing. Neither is expected to be fast this year, but both need to be understood before they are drilled.
Subtraction across a zero
302 − 147 defeats more Grade 2 students than any other single question. There is nothing in the tens column to borrow from, so the child has to go to the hundreds, exchange twice, and hold the whole thing in their head.
Students who have learned the steps without the meaning tend to invent a digit at this point and move on. We use place value counters until a child can say out loud what the exchange did to the number, because the explanation is what survives when the question changes shape.
Times tables need a picture, not only a chant
Chanting the 5 times table produces a child who can recite it and cannot use it. Asked how many wheels on seven cars, they start at 5, 10, 15 and count up, because the chant is a sequence rather than a set of facts.
Arrays fix this — four rows of five, counted, then rearranged as five rows of four. Once the child can see that both give twenty, the table stops being a song and starts being something they can reach into from any direction.
- The place value range Grade 2 works up to
- 999The place value range Grade 2 works up to[1]
- Session length
- 45 minSession length
- Maximum students in a group
- 4Maximum students in a group
Common questions
What maths should a Grade 2 student know?
Place value to 999, addition with carrying and subtraction with borrowing, the 2, 5 and 10 times tables, division as sharing, halves and quarters, measuring in standard units, and telling the time to five minutes.
My child gets questions like 302 − 147 wrong every time. Why?
Borrowing across a zero needs two exchanges rather than one, and a student who learned the method as a sequence of steps has nothing to fall back on when the tens column is empty. It is usually a place value gap rather than a subtraction gap, and it responds to counters rather than to more practice.
Which times tables should a Grade 2 student know?
The 2, 5 and 10 tables, understood as repeated addition rather than recited as a sequence. The test is whether a child can answer 7 × 5 without starting at 5 and counting up.
Sources
- Single National Curriculum: Mathematics, Grades 1–5 — Ministry of Federal Education and Professional Training, Pakistan
- Cambridge Primary Mathematics Curriculum Framework 0096 — Cambridge Assessment International Education
- National curriculum in England: mathematics programmes of study — Department for Education
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