Grade 7 Curriculum

Below are skills needed, with links to resources to help with that skill. We also encourage plenty of exercises and book work. Curriculum Home

Important: this is a guide only.
Check with your local education authority to find out their requirements.

Grade 7 | Division
☐ Understand and be able to use Long Division
☐ Long Division
☐ Long Division With Remainders
☐ Long Division to Decimal Places
☐ Long Division - Why and How
☐ Long Division - Organised Guessing
☐ Long Division Animation
☐ Long Division - Introduction
☐ Long Division Worksheets
☐ Definition of Dividend
☐ Division Worksheets
☐ Definition of Divisor
☐ Definition of Quotient
Grade 7 | Numbers
☐ Distinguish between the various subsets of real numbers (counting/natural numbers, whole numbers, integers, rational numbers, and irrational numbers)
☐ Irrational Numbers
☐ The Evolution of Numbers
☐ Real Numbers
☐ Rational Numbers
☐ Common Number Sets
☐ Introduction to Sets
☐ Whole Numbers and Integers
☐ Definition of Real Numbers
☐ Definition of Whole Number
☐ Definition of Counting Number
☐ Definition of Natural Number
☐ Definition of Rational Number
☐ Definition of Irrational Number
☐ Definition of Integer
☐ Is It Irrational?
☐ Activity: Subsets
☐ Determine the prime factorization of a given number and write in exponential form
☐ All Factors of a Number
☐ Prime Factorization Tool
☐ Prime and Composite Numbers
☐ Prime Factorization
☐ Definition of Prime Number
☐ Definition of Composite Number
☐ Definition of Prime Factor
☐ Prime Numbers Chart and Calculator
☐ Prime Number List
☐ Simplify expressions using order of operations (Note: Expressions may include absolute value, square roots and/or integer exponents greater than 0.)
☐ Absolute Value
☐ Order of Operations - BODMAS
☐ Order of Operations - PEMDAS
☐ Definition of Order of Operations
☐ Order of Operations Calculator
☐ Exponents
☐ Squares and Square Roots
☐ Add, subtract, multiply, and divide integers
☐ Number Line
☐ Adding and Subtracting Positive and Negative Numbers
☐ Casey Runner
☐ Multiplying Negatives Makes A Positive
☐ Real Number Properties
☐ Using The Number Line
☐ Add two integers (with and without the use of a number line)
☐ Number Line
☐ Casey Runner
☐ Using The Number Line
☐ Adding and Subtracting Positive and Negative Numbers
☐ Develop a conceptual understanding of negative and zero exponents with a base of ten and relate to fractions and decimals (e.g., 10^-2 = .01 = 1/100)
☐ Negative Exponents
☐ Exponents
☐ Index Notation - Powers of 10
☐ Definition of Exponent
☐ Definition of Power
☐ Recognize and state the value of the square root of a perfect square (up to 225)
☐ Squares and Square Roots
☐ Definition of Square Root
☐ Definition of Perfect Square
☐ Determine the square root of non-perfect squares (or harder perfect squares) using a calculator
☐ Scientific Calculator
☐ Squares and Square Roots
☐ Surds
☐ Classify irrational numbers as non-repeating/non-terminating decimals
☐ Irrational Numbers
☐ Surds
☐ Pi
☐ Common Number Sets
☐ Is It Irrational?
☐ Rational Numbers
☐ Definition of Irrational Number
☐ Definition of Rational Number
☐ Identify the two consecutive whole numbers between which the square root of a non-perfect square whole number less than 225 lies (with and without the use of a number line)
☐ Number Line
☐ Squares and Square Roots
☐ Surds
☐ Definition of Perfect Square
☐ Recognize the difference between rational and irrational numbers (e.g., explore different approximations of pi)
☐ Irrational Numbers
☐ The Evolution of Numbers
☐ Pi
☐ Rational Numbers
☐ Common Number Sets
☐ Is It Irrational?
☐ Definition of Rational Number
☐ Activity: Find an Approximate Value For Pi
☐ Definition of Irrational Number
☐ Place rational and irrational numbers (approximations) on a number line and justify the placement.
☐ Number Line
☐ Irrational Numbers
☐ Real Numbers
☐ Zoomable Number Line
☐ Rational Numbers
☐ Write numbers in scientific notation
☐ Index Notation - Powers of 10
☐ Scientific Notation
☐ Definition of Scientific Notation
☐ Definition of Standard Form (Numbers)
☐ Change numbers written in scientific notation to ordinary numbers.
☐ Index Notation - Powers of 10
☐ Scientific Notation
☐ Definition of Scientific Notation
☐ Compare numbers written in scientific notation
☐ Index Notation - Powers of 10
☐ Scientific Notation
☐ Find the common factors and greatest common factor of two or more numbers
☐ All Factors of a Number
☐ Greatest Common Factor
☐ Greatest Common Factor Calculator
☐ Definition of Greatest Common Factor
☐ Definition of Common Factor
☐ Determine multiples and least common multiple of two or more numbers
☐ Least Common Multiple
☐ Least Common Multiple Calculator
☐ Definition of Least Common Multiple
☐ Least Common Denominator
☐ Definition of Multiple
☐ Subtract two integers (with and without the use of a number line)
☐ Number Square Puzzle
☐ Using The Number Line
☐ Adding and Subtracting Positive and Negative Numbers
☐ Casey Runner
☐ Zoomable Number Line
☐ Number Line
☐ Subtraction
☐ Compare and order integers from -10 to 10
☐ Whole Numbers and Integers
☐ Compare Numbers: -10 to +10
☐ Comparing Numbers
☐ Equal, Less and Greater Than Symbols
☐ Number Line
☐ Recognize and state the value of the cube root of a perfect cube (up to 1000)
☐ Cubes and Cube Roots
☐ Definition of Cube Root
☐ Determine the cube root of non-perfect cubes (or harder perfect cubes) using a calculator
☐ Cubes and Cube Roots
☐ Scientific Calculator
☐ Identify the two consecutive whole numbers between which the cube root of a non-perfect cube whole number less than 1000 lies (with and without the use of a number line)
☐ Cubes and Cube Roots
☐ Definition of Cube Root
☐ Number Line
☐ Know and understand the Fundamental Theorem of Arithmetic.
☐ Fundamental Theorem of Arithmetic
☐ Prime Factorization
☐ Prime Factorization Tool
☐ All Factors of a Number
☐ Prime and Composite Numbers
☐ Prime Number List
Grade 7 | Decimals
☐ Represent fractions as recurring (repeating) decimals. Understand what is meant by a recurring decimal and how it is written.
☐ Does 0.999... equal 1?
☐ Converting Fractions to Decimals
☐ Convert Decimals to Fractions
Grade 7 | Fractions
☐ Add and subtract a combination of three or more fractions with unlike denominators
☐ Equivalent Fractions
☐ Adding Fractions
☐ Subtracting Fractions
☐ Least Common Denominator
☐ Common Denominator
☐ Adding and Subtracting Mixed Fractions
☐ Simplifying Fractions
☐ Using Rational Numbers
Grade 7 | Percentages
☐ Calculate the full amount (100%) when given a different percentage of the same amount e.g. If you know 25%, what is 100%?
☐ Introduction to Percentages
☐ Percentage Calculator
☐ Test Your Percentages
Grade 7 | Ratios
☐ Calculate distance using a map scale or a model scale
☐ Definition of Map
☐ Definition of Scale
☐ Definition of Scale Drawing
☐ Activity: How High?
☐ Ratios
☐ Proportions
☐ Understand what is meant by direct and inverse proportion, how to find the constant of proportionality in each case, and know the type of graph associated with each.
☐ Directly Proportional
☐ Proportions
☐ Definition of Proportional
☐ Calculate scales of maps, scale drawings or models as ratios
☐ Definition of Map
☐ Definition of Scale
☐ Definition of Scale Drawing
☐ Activity: How High?
☐ Ratios
☐ Proportions
Grade 7 | Measurement
☐ Determine personal references for metric units of mass
☐ Metric Mass (Weight)
☐ Weight or Mass?
☐ Measuring Metrically with Maggie
☐ Definition of Mass
☐ Definition of Weight
☐ Justify the reasonableness of the mass of an object (metric units)
☐ Metric Mass (Weight)
☐ Estimation (Introduction)
☐ Convert capacities and volumes within the metric system
☐ Metric Volume
☐ Unit Converter
☐ Definition of Litre | Liter
☐ Definition of Millilitre | Milliliter
☐ Definition of Capacity
☐ Identify metric units of mass
☐ Metric Mass (Weight)
☐ Weight or Mass?
☐ Measuring Metrically with Maggie
☐ Activity: Discover Mass
☐ Convert mass within the metric system
☐ Metric Mass (Weight)
☐ Unit Converter
☐ Definition of Gram
☐ Definition of Kilogram
☐ Definition of tonne
☐ Draw central angles in a given circle using a protractor (circle graphs)
☐ Degrees (Angles)
☐ Using a Protractor
☐ Definition of Protractor
☐ Pie Chart
☐ Determine the tools and techniques required to measure mass with an appropriate level of precision (metric units)
☐ Metric Mass (Weight)
☐ Definition of Balance Scales
☐ Definition of Spring Balance
☐ Weighing Jelly Babies
☐ Office Weighings
☐ Activity: Discover Mass
☐ Know the metric units of area: Square Millimeter, Square Centimeter, Square Meter, Hectare and Square Kilometer; and how to convert between them.
☐ Metric Area
☐ Unit Converter
☐ Definition of Hectare (ha)
☐ Definition of Square Centimeter
☐ Definition of Square Meter
☐ Definition of Square Kilometer
☐ Determine personal references for US standard units of mass
☐ US Standard Mass (Weight)
☐ Weight or Mass?
☐ Definition of Mass
☐ Definition of Weight
☐ Introduction to US Standard Units
☐ Justify the reasonableness of the mass of an object (US standard units)
☐ US Standard Mass (Weight)
☐ Estimation (Introduction)
☐ Convert capacities and volumes within the US system
☐ US Standard Volume
☐ Unit Converter
☐ Conversion of Volume
☐ Definition of US Standard Units
☐ Definition of Capacity
☐ Measuring Cups
☐ Identify US standard units of mass
☐ Introduction to US Standard Units
☐ Weight or Mass?
☐ US Standard Mass (Weight)
☐ Activity: Discover Mass
☐ Convert mass within the US system
☐ Definition of US Standard Units
☐ Unit Converter
☐ US Standard Mass (Weight)
☐ Definition of Ounce
☐ Determine the tools and techniques required to measure mass with an appropriate level of precision (US standard units)
☐ Office Weighings
☐ US Standard Mass (Weight)
☐ Weighing Jelly Babies
☐ Definition of Balance Scales
☐ Definition of Spring Balance
☐ Activity: Discover Mass
☐ Know the US standard units of area: Square Inch, Square Foot, Square Yard, Acre, Square Mile; and how to convert between them.
☐ US Standard Area
☐ Unit Converter
☐ Definition of Acre
☐ Definition of US Standard Units
Grade 7 | Geometry (Plane)
☐ Build a pattern to develop a rule for determining the sum of the interior angles of polygons
☐ Interior Angles of Polygons
☐ Definition of Polygon
☐ Polygons
☐ Calculate the radius or diameter, given the circumference or area of a circle
☐ Pi
☐ Circle
☐ Definition of Radius
☐ Definition of Diameter
☐ Activity: Find an Approximate Value For Pi
☐ Activity: The Olympic Athletics Track
☐ Definition of Circumference
☐ Find a missing angle when given angles of a quadrilateral
☐ Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram
☐ Interior Angles of Polygons
☐ Interactive Quadrilaterals
☐ Understand that Angles on a Straight Line Add to 180 degrees, and Angles Around a Point Add to 360 degrees
☐ Angles on a Straight Line Add to 180
☐ Angles Around a Point Add to 360
☐ Supplementary Angles
☐ Exterior Angle
☐ Degrees (Angles)
☐ Interior Angle
☐ Straight Angles
☐ Understand Tessellation, and what is meant by regular and semi-regular tessellations.
☐ Tessellation
☐ Tessellation Artist
☐ Definition of Tessellation
☐ Know the names of polygons with 5, 6 and 8 sides, know the sizes of their interior angles, and know what is meant by regular, irregular, concave and convex polygons.
☐ Pentagon
☐ Hexagon
☐ Octagon
☐ Polygons
☐ Find the area of an annulus and the volume of a hollowed-out cylindrical pipe with an annular cross-section.
☐ Circle
☐ Pi
☐ Area of a Circle
☐ Annulus
Grade 7 | Geometry (Solid)
☐ Calculate the volumes of prisms and cylinders, using given formulas and a calculator
☐ Pouring Liquid
☐ Volume of a Cuboid
☐ Cuboids, Rectangular Prisms and Cubes
☐ Spinning Cylinder
☐ Definition of Prism
☐ Prisms with Examples
☐ Definition of Cylinder
☐ Scientific Calculator
☐ Activity: Soup Can
☐ Identify the two-dimensional shapes that make up the faces and bases of three-dimensional shapes (prisms, cylinders, cones, and pyramids)
☐ Spinning Cone
☐ Spinning Cylinder
☐ Spinning Pentagonal Pyramid
☐ Pyramids
☐ Spinning Square Pyramid
☐ Spinning Triangular Pyramid
☐ Prisms with Examples
☐ Polyhedrons
☐ Spinning Tetrahedron
☐ Activity: Investigating Solids
☐ Spinning Cube (Hexahedron)
☐ Determine the surface areas of prisms and cylinders, using a calculator and a variety of methods
☐ Area of Circle, Triangle, Square, Rectangle, Parallelogram, Trapezium, Ellipse and Sector
☐ Area Calculator
☐ Cuboids, Rectangular Prisms and Cubes
☐ Spinning Cylinder
☐ Definition of Surface Area
☐ Prisms with Examples
☐ Scientific Calculator
☐ Activity: Soup Can
Grade 7 | Algebra
☐ Add and subtract monomials with exponents of one
☐ Definition of Monomial
☐ Like Terms
☐ Definition of Exponent
☐ Evaluate formulas for given input values (surface area, volume, rate, and density problems)
☐ Equations and Formulas
☐ Definition of Surface Area
☐ Definition of Density
☐ Activity: Buffon's Needle
☐ Substitution
☐ Cuboids, Rectangular Prisms and Cubes
☐ Definition of Volume
☐ Write down the reciprocal of an algebraic expression
☐ Reciprocal
☐ Reciprocal
☐ Definition of Reciprocal
☐ Add and subtract simple polynomials with exponents not greater than 3
☐ Like Terms
☐ Definition of Polynomial
☐ Polynomials
☐ Adding and Subtracting Polynomials
☐ Definition of Exponent
Grade 7 | Exponents
☐ Develop the laws of exponents for multiplication and division
☐ Laws of Exponents
☐ Exponents
☐ Definition of Exponent
☐ Negative Exponents
Grade 7 | Inequalities
☐ Solve one-step inequalities (positive coefficients only)
☐ Introduction to Inequalities
☐ Solving Inequalities
☐ Equal, Less and Greater Than Symbols
☐ Graph the solution set of an inequality (positive coefficients only) on a number line.
☐ Number Line
☐ Definition of Number Line
☐ Introduction to Inequalities
☐ Equal, Less and Greater Than Symbols
Grade 7 | Linear Equations
☐ Translate two-step verbal expressions into algebraic expressions
☐ Introduction to Algebra - Multiplication
☐ Add Two Numbers and the Answer is Always 1089
☐ Why the Answer is Always 1089
☐ Introduction to Algebra
☐ Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation
☐ Commutative, Associative and Distributive Laws
☐ Like Terms
☐ Algebra - Definitions
☐ Simplify in Algebra
☐ Solving Equations
☐ Balance when Adding and Subtracting
☐ Introduction to Algebra
☐ Introduction to Algebra - Multiplication
Grade 7 | Trigonometry
☐ Identify the right angle, hypotenuse, and legs of a right triangle
☐ Right Angled Triangles
☐ Right Angles
☐ Definition of Right Angle
☐ Definition of Right-Angled Triangle
☐ Definition of Hypotenuse
☐ Explore the relationship between the lengths of the three sides of a right triangle to develop the Pythagorean Theorem
☐ Pythagorean Theorem Proof
☐ Pythagoras Theorem
☐ Right Angled Triangles
☐ Definition of Pythagoras Theorem
☐ 3, 4, 5 Triangle
☐ Pythagorean Triples
☐ Activity: Pythagoras' Theorem
☐ Use the Pythagorean Theorem to determine the unknown length of a side of a right triangle
☐ Pythagoras Theorem
☐ 3, 4, 5 Triangle
☐ Activity: A Walk in the Desert
☐ Activity: Pythagoras' Theorem
☐ Activity: Drawing Squares
☐ Determine whether a given triangle is a right triangle by applying the Pythagorean Theorem and using a calculator
☐ Right Angled Triangles
☐ Pythagoras Theorem
☐ 3, 4, 5 Triangle
☐ Pythagorean Triples
☐ Scientific Calculator
Grade 7 | Polynomials
☐ Identify a polynomial as an algebraic expression containing one or more terms
☐ Polynomials
☐ Definition of Polynomial
☐ Algebra - Definitions
Grade 7 | Functions
☐ Write an equation to represent a function from a table of values
☐ Definition of Function
☐ What is a Function
Grade 7 | Data
☐ Identify and collect data using a variety of methods
☐ How to Do a Survey
☐ Activity: Lengths of Leaves
☐ Design and conduct an experiment to test predictions
☐ How to Do a Survey
☐ Survey Questions
☐ Compare actual results to predicted results
☐ Data Graphs (Bar, Line, Pie)
☐ Showing the Results of a Survey
☐ Display data in a circle graph (pie chart)
☐ Data Graphs (Bar, Line, Pie)
☐ Pie Chart
☐ Using a Protractor
☐ Convert raw data into double bar graphs and double line graphs
☐ Data Graphs (Bar, Line, Pie)
☐ Calculate the range for a given set of data
☐ Definition of Range (statistics)
☐ The Range (Statistics)
☐ Read and interpret data represented graphically (pictograph, bar graph, histogram, line graph, double line/bar graphs or circle graph)
☐ Data Graphs (Bar, Line, Pie)
☐ Showing the Results of a Survey
☐ Pictographs
☐ Bar Graphs
☐ Pie Chart
☐ Line Graphs
☐ Histograms
☐ Determine the validity of sampling methods to predict outcomes
☐ Definition of Random Sample
☐ Understand what is meant by a random sample, and that generalizations about a population from a sample are valid only if the sample is representative of that population.
☐ How to Do a Survey
☐ Definition of Random Sample
☐ Use random sampling to make predictions about an unknown characteristic from a population. and gauge how far off the estimate or prediction might be.
☐ Definition of Random Sample
☐ Random Words
☐ How to Do a Survey
☐ Sampling
☐ How to Calculate the Mean Value
☐ How to Calculate the Median Value
Grade 7 | Estimation
☐ Estimate surface area
☐ Estimation Games
☐ Definition of Surface Area
☐ Visual Estimation
☐ What is Area?
☐ Activity: Investigating Solids
☐ Justify the reasonableness of answers using estimation
☐ Estimation (Introduction)
☐ Estimation Tips and Tricks
☐ Definition of Estimation
☐ Definition of Estimate
☐ Visual Estimation
☐ Estimation Games
☐ Estimate the areas of plane shapes by counting the number of squares needed to cover the shape.
☐ Activity: Garden Area
☐ Estimation Games
☐ Activity: Investigating Solids
☐ What is Area?
☐ Visual Estimation
Grade 7 | Graphs
☐ Draw the graphic representation of a pattern from an equation or from a table of data
☐ Definition of Pattern
☐ Definition of Table
☐ Cartesian Coordinates
Grade 7 | Probability
☐ Predict the outcome of an experiment
☐ Probability
☐ Interpret data to provide the basis for predictions and to establish experimental probabilities
☐ Probability
☐ Probability Line
☐ Activity: An Experiment with Dice
☐ Activity: An Experiment with a Die
Grade 7 | Statistics
☐ Select the appropriate measure of central tendency
☐ How to Calculate the Mean Value
☐ How to Calculate the Median Value
☐ How to Calculate the Mode or Modal Value
☐ The Mean Machine
☐ Definition of Mean
☐ Definition of Median
☐ Definition of Mode
Grade 7 | Money
☐ Calculate unit price using proportions
☐ Definition of Unit Price
☐ Unit Price
☐ Unit Price Game
☐ Activity: Grass for the Garden
☐ Proportions
☐ Compare unit prices
☐ Unit Price
☐ Unit Price Game
☐ Activity: Grass for the Garden
☐ Proportions
☐ Convert money between different currencies with the use of an exchange rate table and a calculator
☐ Currencies of the World
☐ Scientific Calculator
☐ Activity: Currencies