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 - Organized Guessing
☐ Long Division Animation
☐ Long Division - Introduction
☐ Long Division Worksheets
☐ Definition of Dividend
☐ Division Math Worksheets
☐ Divisor Definition
☐ Quotient Definition
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
☐ Natural Number Definition
☐ Rational Number Definition
☐ Irrational Number Definition
☐ Integer Definition
☐ 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 Calculator
☐ Prime and Composite Numbers
☐ Prime Factorization
☐ Prime Number Definition
☐ Composite Number Definition
☐ Prime Factor Definition
☐ 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
☐ Power Definition
☐ Recognize and state the value of the square root of a perfect square (up to 225)
☐ Squares and Square Roots
☐ Square Root Definition
☐ 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
☐ Irrational Number Definition
☐ Rational Number Definition
☐ 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?
☐ Rational Number Definition
☐ Activity: Find an Approximate Value For Pi
☐ Irrational Number Definition
☐ 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
☐ Scientific Notation Definition
☐ Definition of Standard Form
☐ Change numbers written in scientific notation to ordinary numbers
☐ Index Notation - Powers of 10
☐ Scientific Notation
☐ Scientific Notation Definition
☐ 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
☐ Common Factor Definition
☐ Determine multiples and least common multiple of two or more numbers
☐ Least Common Multiple
☐ Least Common Multiple Calculator
☐ Least Common Multiple Definition
☐ Least Common Denominator
☐ Multiple Definition
☐ Subtract two integers (with and without the use of a number line)
☐ Play Number Square Puzzle Game
☐ 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 216)
☐ 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 216 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 Calculator
☐ All Factors of a Number
☐ Prime and Composite Numbers
☐ Prime Number List
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 Percents
☐ Percentage Calculator
☐ Test Your Percentages
Grade 7 | Ratios
☐ Calculate distance using a map scale or a model scale
☐ Map Definition
☐ Scale Definition
☐ Definition of Scale Drawing
☐ Activity: How High?
☐ Ratios
☐ Proportions
☐ Calculate scales of maps, scale drawings or models as ratios
☐ Map Definition
☐ Scale Definition
☐ Definition of Scale Drawing
☐ Activity: How High?
☐ Ratios
☐ Proportions
Grade 7 | Measurement
☐ Determine personal references for metric units of mass
☐ Metric Mass
☐ Weight or Mass?
☐ Measuring Metrically with Maggie
☐ Mass Definition
☐ Weight Definition
☐ Justify the reasonableness of the mass of an object (metric units)
☐ Metric Mass
☐ Estimation
☐ Convert capacities and volumes within the metric system
☐ Metric Volume
☐ Unit Converter
☐ Definition of Litre | Liter
☐ Millilitre | Milliliter Definition
☐ Definition of Capacity
☐ Identify metric units of mass
☐ Metric Mass
☐ Weight or Mass?
☐ Measuring Metrically with Maggie
☐ Activity: Discover Mass
☐ Convert mass within the metric system
☐ Metric Mass
☐ Unit Converter
☐ Definition of Gram
☐ Kilogram Definition
☐ Tonne Definition
☐ Draw central angles in a given circle using a protractor (circle graphs)
☐ Degrees
☐ Using a Protractor
☐ Protractor Definition
☐ Pie Chart
☐ Determine the tools and techniques required to measure mass with an appropriate level of precision (metric units)
☐ Metric Mass
☐ Balance Scales Definition
☐ Definition of Spring Balance
☐ Weighing Jelly Babies Puzzle
☐ Office Weighings Puzzle
☐ 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
☐ 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 or Mass?
☐ Mass Definition
☐ Weight Definition
☐ Introduction to US Standard Units
☐ Justify the reasonableness of the mass of an object (US standard units)
☐ US Standard Mass
☐ Estimation
☐ 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
☐ Activity: Discover Mass
☐ Convert mass within the US system
☐ Definition of US Standard Units
☐ Unit Converter
☐ US Standard Mass
☐ Definition of Ounce
☐ Determine the tools and techniques required to measure mass with an appropriate level of precision (US standard units)
☐ Office Weighings Puzzle
☐ US Standard Mass
☐ Weighing Jelly Babies Puzzle
☐ Balance Scales Definition
☐ 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
☐ Acre Definition
☐ 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
☐ Radius Definition
☐ Definition of Diameter
☐ Activity: Find an Approximate Value For Pi
☐ Activity: The Olympic Athletics Track
☐ Circumference Definition
☐ 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
☐ Interior Angle
☐ Straight Angles
☐ Understand Tessellation, and what is meant by regular and semi-regular tessellations.
☐ Tessellation
☐ Tessellation Artist
☐ Tessellation Definition
☐ Know the names of polygons with 5, 6 and 8 sides, know the sizes of their interior angles, and know what is menat by regular, irregular, concave and convex polygons.
☐ Pentagon
☐ Hexagon
☐ Octagon
☐ Polygons
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
☐ Prism Definition
☐ 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
☐ 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
☐ Surface Area Definition
☐ 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, rate, and density problems)
☐ Equations and Formulas
☐ Surface Area Definition
☐ Density Definition
☐ Activity: Buffon's Needle
☐ Substitution
☐ Cuboids Rectangular Prisms and Cubes
☐ Volume Definition
☐ Write down the reciprocal of an algebraic expression
☐ Reciprocal
☐ Reciprocal In Algebra
☐ Reciprocal Definition
☐ Add and subtract simple polynomials with exponents not greater than 3
☐ Like Terms
☐ Polynomial Definition
☐ 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
☐ Number Line Definition
☐ Introduction to Inequalities
☐ Equal Less and Greater Than Symbols
Grade 7 | Linear Equations
☐ Translate two-step verbal expressions into algebraic expressions
☐ Algebra Introduction: 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
☐ Algebra Introduction: Multiplication
Grade 7 | Trigonometry
☐ Identify the right angle, hypotenuse, and legs of a right triangle
☐ Right-Angled Triangles
☐ Right Angles
☐ Right Angle Definition
☐ Definition of Right-Angled Triangle
☐ Hypotenuse Definition
☐ 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
☐ Polynomial Definition
☐ 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
☐ Predict the outcome of an experiment
☐ Probability
☐ Design and conduct an experiment to test predictions
☐ How to Do a Survey
☐ Survey Questions
☐ Compare actual results to predicted results
☐ Data Graphs
☐ Showing the Results of a Survey
☐ Display data in a circle graph (pie chart)
☐ Data Graphs
☐ Pie Chart
☐ Using a Protractor
☐ Convert raw data into double bar graphs and double line graphs
☐ Data Graphs
☐ Calculate the range for a given set of data
☐ Definition of Range
☐ The Range
☐ Read and interpret data represented graphically (pictograph, bar graph, histogram, line graph, double line/bar graphs or circle graph)
☐ Data Graphs
☐ Showing the Results of a Survey
☐ Pictographs
☐ Bar Graphs
☐ Pie Chart
☐ Line Graphs
☐ Histograms
Grade 7 | Estimation
☐ Estimate surface area
☐ Estimation Games
☐ Surface Area Definition
☐ Visual Estimation
☐ What is Area?
☐ Activity: Investigating Solids
☐ Justify the reasonableness of answers using estimation
☐ Estimation
☐ 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
☐ Pattern Definition
☐ Table Definition
Grade 7 | 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 Find the Median Value
☐ How to Calculate the Mode or Modal Value
☐ The Mean Machine
☐ Mean Definition
☐ Median Definition
☐ Definition of Mode
☐ Determine the validity of sampling methods to predict outcomes
☐ Random Sample Definition
Grade 7 | Money
☐ Calculate unit price using proportions
☐ Unit Price Definition
☐ 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: Currency Conversion