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Computing rates with fractions

UK Year 7 Maths: Master Key Concepts & Skills

Numbers and Relations

Place value

Comparing and ordering numbers

Comparing Integers

Comparing Numbers

Comparing Fractions

Rounding numbers

Rounding Decimals

Rounding Integers — Up to 9999

Number Theory

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Prime factors

Number properties: Prime or Composite

Number properties: Prime?

Prime factorization

Prime factors – Word Problem

Divisibility rules

Divisibility

Determining common factors

Common Factors — Word problem: bouquet

Common Factors — Word problem: party

Common Factors

Factors

Determining common multiples

Common Multiples — Word problem: meals

Common Multiples — Word problem: watches

Multiples

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Introduction to exponents

Expanded powers

Exponents — Express as a power of 10

Exponents — Word problem: express as a power

Exponents — Express as a power of two — Whole number

Adding and Subtracting Integers

Introduction to integer addition

Adding 1-digit integers

Opposite Integers — Up to 10

Adding integers

Adding 2-digit integers

Introduction to integer subtraction

Integer Subtraction — Missing Value

Subtracting 1-digit integers

Subtracting integers

Subtracting 2-digit integers

Applications of integer operations

Application of Integer Operations – Word Problem

Application of Integer Operations  – Word Problem

Multiplying and Dividing Integers

Understanding integer multiplication

Multiplying 1-digit Integers

Multiplying 1-digit integers Mixed Sign

Multiplying integers

Multiplying 2-Digit Integers

Multiplying 1 and 2 Digit Integers

Understanding integer division

Dividing by 1-Digit Integers

Dividing by 1-Digit Integers Mixed Sign

Dividing integers

Dividing by 2-Digit Integers

Dividing by 2-Digit Integers Mixed Sign

Multiple Integer Operations

Three Step Integer Operations Combined Multiply Divid

Three Step Integer Operations Divide Add Or Minus Multiply

Three Step Integer Operations Divide Add Or Minus

Three Step Integer Operations Multiply Add Minus Divide

Three Step Integer Operations Multiply Add Or Minus

Operations with Decimals

Adding and subtracting decimal numbers

Subtracting Decimals — Data Table

Ordering Decimals — Data Table

Decimals – Word Problem

Adding Decimals

Subtracting Decimals

Multiplying decimal numbers

Multiplying Decimals

Dividing decimal numbers

Dividing Decimals

Order of operations (BIDMAS)

Mixed Operations with Decimals

Mixed Operations

Identify the Order of Operations

Order of Operations — Word Problem

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Adding and Subtracting Fractions

Using model to add and subtract fractions

Add Fractions With Models

Subtract Fractions With Models

Adding fractions with like denominators

Adding Fractions — with like denominators — 3-digit without simplifying

Adding Fractions — with like denominators — 3-digit

Adding Fractions — Word problem: baking

Add fractions with like denominator

Adding Fractions — with like denominators — 1-digit

Adding Fractions — with like denominators — 2-digit

Adding Fractions — Word problem: beads

Subtracting fractions with like denominators

Subtract fractions with like denominator

Subtracting Fractions — with like denominators — 2-digit

Subtracting Fractions — with like denominators — Larger 2-digit

Subtracting Fractions — with like denominators — 3 digit

Subtracting fractions — Word problem: competition

Subtracting fractions — Word problem: snack

Adding and subtracting fractions with unlike denominators

Adding and Subtracting Fractions — Find the lowest common denominator (LCD)

Adding and Subtracting Fractions — Find the LCD and evaluate

Add fractions with unlike denominator

Subtract fractions with unlike denominator

Adding and Subtracting Fractions — Word problem: cargo ship

Adding Fractions — with unlike denominators

Subtracting Fractions — with unlike denominators

Adding and subtracting mixed numbers

Adding Mixed Numbers — Word Problem

Subtracting Mixed Numbers — Word Problem

Add mixed fractions with like denominator

Add mixed fractions with unlike denominator

Multiplying and Dividing Fractions

Multiplying fractions and whole numbers

Multiply a fraction with a whole number

Multiplying Fractions — with whole numbers — 1 digit

Multiplying Fractions — with whole numbers — 2 digits

Application of Multiplying Fractions and Whole Numbers – Word Problems

Dividing fractions with whole numbers

Divide a fraction by a whole number

Divide a Fraction by a Whole Number

Divide a Fraction by a Whole Number Number RHS

Multiplying proper fractions

Multiply Proper Fractions — 1 Digit Fractions

Multiplying improper fractions and mixed numbers

Multiply Mixed Numbers

Dividing fractions and mixed numbers

Divide Fractions and Mixed Numbers – Word Problem

Dividing Mixed numbers

Dividing Mixed Numbers

Applications of fraction operations

Fraction Operations

Rational Numbers

Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

Solving problems with rational numbers in decimal form

Solving problems with rational numbers in fraction form

Operations with fractions

Determine square roots of rational numbers

Square roots of rational numbers

Powers, Exponents and Square Roots

Using exponents to describe numbers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Using exponents to solve problems

Squares and square roots

Square Root of a Perfect Square

Estimating square roots

Rates and Ratios

Ratios

Ratios - Find The Missing Value LHS

Ratios - Find The Missing Value RHS

Equivalent Ratios

Rates

Find the Biggest Rate 

Find the Unit Price 

Unit Rate Fill in Box

We&apos;ve got you covered with our complete help for Year 7 Maths, whether it&apos;s for any typical year 7 maths classes in secondary schools, <a href="https://www.gov.uk/government/publications/national-curriculum-in-england-mathematics-programmes-of-study">Key Stage 3 Maths</a> (National Curriculum), or <a href="http://learning.gov.wales/resources/browse-all/mathsnc/?lang=en">National curriculum in Wales</a> (Key stage 3).

Our comprehensive lessons cover maths topics including Percentages, Fractions, Probability, Decimals, Surface area, Square roots, Solving equations, just to name a few. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest year 7 maths problems. Then, strengthen your understanding with tons of year 7 maths practice. 

All our lessons are taught by experienced Year 7 Maths teachers. Let&apos;s finish your homework in no time, and ACE that maths test.

Year 7 Maths

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Rates with fractions

What You'll Learn

Calculate rates by dividing quantities involving fractions

Solve word problems using ratios with fractional amounts

Multiply and divide fractions to find equivalent rates

Apply reciprocal multiplication when dividing by fractions

Set up proportions to find unknown values in rate problems

What You'll Practice

Finding time to complete tasks given fractional progress

Calculating price changes with fractional decreases over multiple periods

Solving ratio problems involving fractions of quantities

Working with word problems about consumption rates with fractions

Why This Matters

This Unit Includes

4 Video lessons

Skills

Rates

Fractions

Ratios

Proportions

Division with Fractions

Reciprocals

Word Problems