# 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

☐ 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

☐ Surds

☐ Classify irrational numbers as non-repeating/non-terminating decimals

☐ Surds

☐ 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)

☐ Surds

☐ 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

☐ 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

☐ Ratios

☐ 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

☐ 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

☐ Polygons

☐ Calculate the radius or diameter, given the circumference or area of a circle

☐ Pi

☐ 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.

☐ 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

☐ Annulus

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)

☐ 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)

☐ 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.

☐ Sampling

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

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