Help with Class 7 Maths at home, one chapter at a time

Your child reads and writes numbers in lakhs and crores, compares the Indian and international systems, and builds a feel for size: how long is a lakh seconds, how tall is a crore coins? Estimation and rounding make big numbers usable.

• lakh
• crore
• million
• billion
• estimate
• round off
• place value

Expressions like 13 + 2 × 5 can be read in different ways unless we agree on rules. Your child writes expressions for situations, uses brackets, follows the order of operations, and compares expressions without fully calculating them.

• expression
• term
• brackets
• order of operations
• value
• compare

Measuring a toy part smaller than a centimetre needs units smaller than one: tenths and hundredths. Your child writes decimals, places them on a number line, compares and orders them, adds and subtracts decimals, and converts units like 1.25 m = 125 cm.

• decimal point
• tenths
• hundredths
• place value
• compare
• convert

Letters can stand for numbers. Your child writes expressions like 5a + 3 for a situation, finds their value for given numbers, spots patterns and writes general rules, and simplifies expressions by combining like terms.

• variable
• letter-number
• expression
• like terms
• simplify
• value

Your child folds paper to make intersecting and parallel lines, finds that vertically opposite angles are equal, and studies angles made when a transversal cuts parallel lines: corresponding and alternate angles are equal.

• intersecting
• parallel
• transversal
• vertically opposite
• corresponding
• alternate
• linear pair

More number puzzles: odd and even (parity) rules, magic squares where every row, column and diagonal has the same sum, and number sequences such as Virahanka numbers (1, 2, 3, 5, 8, 13…).

• parity
• odd
• even
• magic square
• magic sum
• sequence

A triangle is the simplest closed shape. Your child classifies triangles by sides and angles, tests when three lengths can make a triangle (triangle inequality), proves the angle sum is 180°, and constructs triangles with ruler, compass and protractor.

• equilateral
• isosceles
• scalene
• acute
• obtuse
• right
• triangle inequality
• angle sum

If Aaron walks 3 km in an hour, how far in half an hour? Your child multiplies fractions by whole numbers and by fractions, sees products as areas, and divides fractions, including by using reciprocals.

• of
• product
• reciprocal
• divide
• area model
• simplify

Two figures are congruent (geometric twins) if one fits exactly on the other. Your child checks congruence by tracing, learns the conditions SSS, SAS, ASA/AAS and RHS for triangles, and sees why SSA doesn’t always work.

• congruent
• corresponding parts
• SSS
• SAS
• ASA
• RHS

Building on adding and subtracting integers, your child multiplies and divides them, works out the sign rules from patterns, and uses properties like commutativity and distributivity.

• integer
• product
• quotient
• sign rule
• distributive
• commutative

Cutting the biggest equal tiles for a room, or finding when two events happen together, uses the highest common factor and lowest common multiple. Your child finds HCF and LCM by listing and by prime factorisation, and solves real problems.

• factor
• multiple
• HCF
• LCM
• prime factorisation
• common

Your child multiplies and divides decimals, by 10, 100 and 1000 and by other decimals, estimates first to place the decimal point, and uses decimals in money and measurement.

• decimal point
• estimate
• product
• quotient
• place value

Your child learns to summarise data with a typical value: the mean (average) and the median (middle value), compares when each is useful, and reads and draws line and bar graphs.

• data
• mean
• median
• average
• line graph
• outlier

Your child makes constructions with ruler and compass (perpendiculars, angle bisectors, special angles like 60° and 90°), and explores which regular polygons tile a floor and why.

• construct
• bisect
• perpendicular
• regular polygon
• tiling
• 360°

A balance scale shows equations: both sides must weigh the same. Your child writes equations for situations, solves them by doing the same thing to both sides, and checks answers by substituting.

• equation
• unknown
• solve
• balance
• both sides
• check