Year 7 Objectives | Mathematics Department

7.1 Positive Integers

Term 1

1. Apply tests of divisibility for 2, 3, 4, 5, 6, 8, 9, and 10 to decide whether a number is divisible without calculating.
2. Identify and list multiples of any given number.
3. Recognise and evaluate powers (e.g. 2³ = 8) and roots (e.g. √169 = 13), including the first few square and cube numbers.
4. Continue a number sequence using a term-to-term rule.
5. Find all the factors of a number and list them systematically.
6. Identify prime numbers and explain why a number is or is not prime.
7. Write a number as a product of its prime factors using a factor tree (e.g. 12 = 2 × 2 × 3).
8. Find the Highest Common Factor (HCF) of two numbers using listing strategies.
9. Find the Lowest Common Multiple (LCM) of two numbers using listing strategies.
10. Use a Venn diagram to find HCF and LCM from prime factor decompositions.

Term 1

1. Place positive and negative numbers correctly on a number line and describe their distance from zero.
2. Order directed numbers from smallest to largest (and vice versa).
3. Add negative numbers to both positive and negative numbers (e.g. 5 + (−3) = 2).
4. Subtract negative numbers from positive and negative numbers (e.g. 4 − (−2) = 6).
5. Multiply and divide positive and negative numbers.
6. Apply the order of operations (BIDMAS) correctly with brackets, powers, and negative numbers.

Term 1–2

1. Use correct algebraic vocabulary: term, expression, equation, variable, coefficient, constant.
2. Apply correct algebraic conventions (e.g. write 3n not n3, write n² not n × n).
3. Form simple algebraic expressions from a word description or context.
4. Form a simple equation from a problem or context.
5. Collect (simplify) like terms in an expression.
6. Write algebraic products correctly (e.g. a × b = ab, 3 × a × a = 3a²).
7. Expand a single bracket using repeated addition and the area model (e.g. 3(x + 2) = 3x + 6).
8. Substitute numerical values into simple expressions and evaluate the result.
9. Solve one-step equations formally (e.g. x + 3 = 11, 5x = 25, x ÷ 8 = 2).

Term 2

1. Understand place value in decimal numbers and compare / order decimals.
2. Add and subtract decimal numbers, keeping digits aligned by place value.
3. Read measurement scales correctly, including those using negative values.
4. Measure and calculate the perimeter of shapes given in decimal units.
5. Multiply and divide by powers of 10 (10, 100, 1000).
6. Convert between metric units of length (mm, cm, m, km), mass (mg, g, kg), and capacity.
7. Round whole numbers to the nearest 10, 100, or 1000.
8. Round decimals to 1, 2, or 3 decimal places.
9. Divide decimal numbers by whole numbers.
10. Choose the most appropriate unit of measurement for a given context.

Term 2

1. Find equivalent fractions and simplify fractions to their simplest (lowest) form.
2. Convert between mixed numbers and improper fractions.
3. Compare and order fractions, including those with different denominators.
4. Add and subtract fractions, including those with different denominators.
5. Multiply fractions together and multiply a fraction by a whole number.
6. Divide fractions, including dividing by a whole number.
7. Explain what a percentage means and represent it as a fraction out of 100.
8. Find a percentage of a quantity (e.g. 30% of 240).
9. Find a fraction of a quantity.
10. Convert between simple fractions, decimals, and percentages (e.g. ¾ = 0.75 = 75%).

Term 2–3

1. Describe and classify data as categorical, numerical, discrete, or continuous.
2. Describe different methods of data collection and design a simple survey.
3. Identify outliers in a data set and comment on their effect.
4. Calculate the mean, median, and mode of a data set.
5. Calculate the range of a data set.
6. Construct and interpret frequency tables.
7. Calculate the mean, median and mode from a frequency table.
8. Draw comparative bar charts and label them correctly.
9. Read and interpret different types of statistical graphs (bar charts, pictograms, line graphs, pie charts).

Term 3

1. Identify and classify polygons by their properties (number of sides, regularity, convexity).
2. Convert metric units of length, mass, capacity and area.
3. Calculate the perimeter of rectangles, squares and triangles.
4. Calculate the area of rectangles, squares, triangles, parallelograms and trapezia.
5. Calculate the perimeter and area of rectilinear compound shapes.

Term 3

1. Estimate, measure and construct an angle.
2. Classify angles as acute, obtuse and reflex.
3. Find angles on a straight line, about a point, in triangles and quadrilaterals.
4. Identify angles in parallel lines (corresponding, alternate, co-interior).
5. Classify triangles as scalene, isosceles, equilateral, right, acute or obtuse.
6. Classify quadrilaterals using their properties, including diagonals and symmetry.