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
Grade 7 | Numbers
Identify the relationships between relative error and magnitude when dealing with large numbers (e.g., money, population)
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, square roots 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 (or harder perfect squares) using a calculator
Classify irrational numbers as non-repeating/non-terminating decimals
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)
Place rational and irrational numbers (approximations) on a number line and justify the placement.
Write numbers in scientific notation
Change numbers written in scientific notation to ordinary numbers.
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
Subtract two integers (with and without the use of a number line)
Compare and order integers from -10 to 10
Recognize and state the value of the cube root of a perfect cube (up to 1000)
Determine the cube root of non-perfect cubes (or harder 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 1000 lies (with and without the use of a number line)
Know and understand the Fundamental Theorem of Arithmetic.
Grade 7 | Decimals
Represent fractions as recurring (repeating) decimals.
Understand what is meant by a recurring decimal and how it is written.
Grade 7 | Fractions
Add and subtract a combination of three or more fractions with unlike denominators
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%?
Grade 7 | Ratios
Calculate distance using a map scale or a model scale
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.
Calculate scales of maps, scale drawings or models as ratios
Grade 7 | Measurement
Determine personal references for metric units of mass
Justify the reasonableness of the mass of an object (metric units)
Convert capacities and volumes within the metric system
Identify metric units of mass
Convert mass within the metric system
Draw central angles in a given circle using a protractor (circle graphs)
Determine the tools and techniques required to measure mass with an appropriate level of precision (metric units)
Know the metric units of area: Square Millimeter, Square Centimeter, Square Meter, Hectare and Square Kilometer; and how to convert between them.
Determine personal references for US standard units of mass
Justify the reasonableness of the mass of an object (US standard units)
Convert capacities and volumes within the US system
Identify US standard units of mass
Convert mass within the US system
Determine the tools and techniques required to measure mass with an appropriate level of precision (US standard units)
Know the US standard units of area: Square Inch, Square Foot, Square Yard, Acre, Square Mile; and how to convert between them.
Grade 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
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.
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.
Find the area of an annulus and the volume of a hollowed-out cylindrical pipe with an annular cross-section.
Grade 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
Grade 7 | Algebra
Add and subtract monomials with exponents of one
Evaluate formulas for given input values (surface area, volume, rate, and density problems)
Create algebraic patterns using charts/tables, graphs, equations, and expressions
Write down the reciprocal of an algebraic expression
Add and subtract simple polynomials with exponents not greater than 3
Grade 7 | Exponents
Develop the laws of exponents for multiplication and division
Grade 7 | Inequalities
Solve one-step inequalities (positive coefficients only)
Graph the solution set of an inequality (positive coefficients only) on a number line.
Grade 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
Grade 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
Grade 7 | Polynomials
Identify a polynomial as an algebraic expression containing one or more terms
Grade 7 | Functions
Write an equation to represent a function from a table of values
Grade 7 | Data
Identify and collect data using a variety of methods
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)
Determine the validity of sampling methods to predict outcomes
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.
Use random sampling to make predictions about an unknown characteristic from a population. and gauge how far off the estimate or prediction might be.
Grade 7 | Estimation
Estimate surface 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.
Grade 7 | Graphs
Draw the graphic representation of a pattern from an equation or from a table of data
Grade 7 | Probability
Predict the outcome of an experiment
Interpret data to provide the basis for predictions and to establish experimental probabilities
Grade 7 | Statistics
Select the appropriate measure of central tendency
Identify and explain misleading statistics and graphs
Grade 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