Planning a Unit in mathematics
Unit: Year 5 A2 Counting partitioning and calculating
Learning objectives - Most children will learn to:
1. Explain reasoning using diagrams, graphs and text;
refine ways of recording using images and symbols
2. Solve one-step and two-step problems involving
whole numbers and decimals and all four
operations, choosing and using appropriate
calculation strategies, including calculator use
3. Count from any given number in whole-number and
decimal steps, extending beyond zero when
counting backwards; relate the numbers to their
position on a number line
4. Explain what each digit represents in whole numbers
and decimals with up to two places, and partition,
round and order these numbers
5. Use knowledge of place value and addition and
subtraction of two-digit numbers to derive sums and
differences and doubles and halves of decimals (e.g.
6.5 2.7, half of 5.6, double 0.34)
6. Use efficient written methods to add and subtract
whole numbers and decimals with up to two places
7.
to multiply pairs of multiples of 10 and 100; derive
quickly corresponding division facts
8.
Identify pairs of factors of 2 digit whole numbers and
find common multiples e.g. 6 and 9
9.
Use understanding of place value to multiply and
divide whole numbers and decimals by 10, 100 or
1000
10. Extend mental methods for whole number
calculations, for example to multiply a two digit by a
one digit number e.g. 12 x 9, to multiply by 25, to
subtract one near multiple of 1000 from another e.g.
6070 – 4097
11. Use a calculator to solve problems, including those
nvolving decimals or fractions e.g. to find ¾ of 150g
interpet the display correctly in the context of
measurement
12. Use knowledge of rounding, place value, number
facts and inverse operation to estimate and check
calculations
13. Analyse the use of persuasive language
Lessons: 10
Vocabulary
problem, solution, calculate,
calculation, equation,
operation, answer, method,
explain, reasoning, reason,
predict, relationship, rule,
formula, pattern, sequence,
term, consecutive
place value, digit, numeral,
partition, decimal point,
decimal place, thousands, ten
thousands, hundred
thousands, millions, tenths,
hundredths, positive, negative,
above/below zero, compare,
order, ascending, descending,
greater than ( ), less than ( ),
round, estimate, approximately
add, subtract, multiply, divide,
sum, total, difference, plus,
minus, product, quotient,
remainder, factor, multiple
calculator, display, key, enter,
clear, constant
pound ( ), penny/pence (p),
units of measurement and their
abbreviations, degree Celsius
( C)
Building on previous learning
Check that children can
already:
Children's targets
I can explain my method for solving a problem clearly to
others. I listen to other children's methods.
I talk about which is the most efficient method.
I can explain why I chose to work mentally, or use a written
method or a calculator
I can count in decimal steps to create a sequence
I can say what any digit in a decimal is worth
I can work out sums and differences of decimals
I can explain each step when I add or subtract decimals using
a written method
I can decide when it is sensible to use a written method for
addition or subtraction
I know my tables to 10 for multiplication facts and division
facts.
I can use these facts to multiply multiples of 10 and 100
I can find all the factor pairs for a two-digit number
I can multiply or divide numbers by 10, 100 or 1000
I can identify calculations that I can do in my head or with
jottings
I can use a calculator to solve a problem. I can explain what
calculations I keyed into the calculator and why
I can estimate and check the result of a calculation
I can explain solutions to problems so that others can follow
the stages. I can choose words and draw diagrams to help
them to understand
Target Pupils
Intervention Materials Used