# Year 7 Curriculum

Below are the skills needed, with links to resources to help with that skill. We also enourage 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.

Year 7 | Subtraction
☐ Subtract two integers (with and without the use of a number line)
Year 7 | Division
☐ Understand and be able to use Long Division
Year 7 | Numbers
☐ Distinguish between the various subsets of real numbers (counting/natural numbers, whole numbers, integers, rational numbers, and irrational numbers)
☐ Determine the prime factorization of a given number and write in exponential form
☐ Simplify expressions using order of operations (Note: Expressions may include absolute value and/or integer exponents greater than 0.)
☐ Add, subtract, multiply, and divide integers
☐ Add two integers (with and without the use of a number line)
☐ 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)
☐ Recognize and state the value of the square root of a perfect square (up to 225)
☐ Determine the square root of non-perfect squares using a calculator
☐ Classify irrational numbers as non-repeating/non-terminating decimals
Pi
☐ 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)
☐ Recognize the difference between rational and irrational numbers (e.g., explore different approximations of pi)
Pi
☐ Place rational and irrational numbers (approximations) on a number line and justify the placement.
☐ Write numbers in scientific notation
☐ Translate numbers from scientific notation into standard form
☐ Compare numbers written in scientific notation
☐ Find the common factors and greatest common factor of two or more numbers
☐ Determine multiples and least common multiple of two or more numbers
☐ Compare and order integers from -10 to 10
☐ Recognize and state the value of the cube root of a perfect cube (up to 216)
☐ Determine the cube root of non-perfect cubes using a 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)
☐ Know and understand the Fundamental Theorem of Arithmetic.
Year 7 | Measurement
☐ Calculate distance using a map scale
☐ Determine personal references for customary /metric units of mass
☐ Justify the reasonableness of the mass of an object
☐ Convert capacities and volumes within a given system
☐ Identify customary and metric units of mass
☐ Convert mass within a given system
☐ Draw central angles in a given circle using a protractor (circle graphs)
☐ Determine the tools and techniques required to measure with an appropriate level of precision: mass
☐ Know the metric units of area: Square Millimeter, Square Centimeter, Square Meter, Hectare and Square Kilometer; and how to convert between them. Or know the standard units of area: Square Inch, Square Foot, Square Yard, Acre, Square Mile; and how to convert between them.
Year 7 | Geometry (Plane)
☐ Build a pattern to develop a rule for determining the sum of the interior angles of polygons
☐ Calculate the radius or diameter, given the circumference or area of a circle
Pi
☐ Find a missing angle when given angles of a quadrilateral
☐ Understand that Angles on a Straight Line Add to 180 degrees, and Angles Around a Point Add to 360 degrees
☐ Understand Tessellation, and what is meant by regular and semi-regular tessellations.
Year 7 | Geometry (Solid)
☐ Calculate the volumes of prisms and cylinders, using given formulas and a calculator
☐ Identify the two-dimensional shapes that make up the faces and bases of three-dimensional shapes (prisms, cylinders, cones, and pyramids)
☐ Determine the surface areas of prisms and cylinders, using a calculator and a variety of methods
Year 7 | Algebra
☐ Add and subtract monomials with exponents of one
☐ Evaluate formulas for given input values (surface area, rate, and density problems)
☐ Write down the reciprocal of an algebraic expression
Year 7 | Exponents
☐ Develop the laws of exponents for multiplication and division
Year 7 | Inequalities
☐ Solve one-step inequalities (positive coefficients only)
☐ Graph the solution set of an inequality (positive coefficients only) on a number line.
Year 7 | Linear Equations
☐ Translate two-step verbal expressions into algebraic expressions
☐ Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation
Year 7 | Trigonometry
☐ Identify the right angle, hypotenuse, and legs of a right triangle
☐ Explore the relationship between the lengths of the three sides of a right triangle to develop the Pythagorean Theorem
☐ Use the Pythagorean Theorem to determine the unknown length of a side of a right triangle
☐ Determine whether a given triangle is a right triangle by applying the Pythagorean Theorem and using a calculator
Year 7 | Polynomials
☐ Identify a polynomial as an algebraic expression containing one or more terms
Year 7 | Functions
☐ Write an equation to represent a function from a table of values
Year 7 | Data
☐ Identify and collect data using a variety of methods
☐ Predict the outcome of an experiment
☐ Design and conduct an experiment to test predictions
☐ Compare actual results to predicted results
☐ Display data in a circle graph (pie chart)
☐ Convert raw data into double bar graphs and double line graphs
☐ Calculate the range for a given set of data
☐ Read and interpret data represented graphically (pictograph, bar graph, histogram, line graph, double line/bar graphs or circle graph)
Year 7 | Estimation
☐ Estimate surface area
Area
☐ Justify the reasonableness of answers using estimation
☐ Estimate the areas of plane shapes by counting the number of squares needed to cover the shape.
Area
Year 7 | Graphs
☐ Draw the graphic representation of a pattern from an equation or from a table of data
Year 7 | Probability
☐ Interpret data to provide the basis for predictions and to establish experimental probabilities
Year 7 | Statistics
☐ Select the appropriate measure of central tendency
☐ Determine the validity of sampling methods to predict outcomes
Year 7 | Money
☐ Calculate unit price using proportions
☐ Compare unit prices
☐ Convert money between different currencies with the use of an exchange rate table and a calculator