Integers Year 7 Australia
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Integers Year 7 Australia Rating: 4,4/5 4764 votes
IXL's year 7 skills will be aligned to the Australian Curriculum soon! Until then, you can view a complete list of year 7 objectives below. Objectives are in black and IXL maths skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practise that skill.
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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.
☐ Understand and be able to use Long Division
☐ Long Division With Remainders
☐ Long Division - Why and How
☐ Long Division Animation
☐ Long Division Worksheets
Grade 7 Numbers
☐ Distinguish between the various subsets of real numbers (counting/natural numbers, whole numbers, integers, rational numbers, and irrational numbers)
☐ The Evolution of Numbers
☐ Rational Numbers
☐ Introduction to Sets
☐ Definition of Real Numbers
☐ Definition of Counting Number
☐ Definition of Rational Number
☐ Definition of Integer
☐ Set-Builder Notation
☐ Determine the prime factorization of a given number and write in exponential form
☐ Prime Factorization Tool
☐ Prime Factorization
☐ Definition of Composite Number
☐ Prime Numbers Chart and Calculator
☐ Prime Number Lists
☐ Simplify expressions using order of operations (Note: Expressions may include absolute value, square roots and/or integer exponents greater than 0.)
☐ Order of Operations - BODMAS
☐ Definition of Order of Operations
☐ Exponents
☐ Add, subtract, multiply, and divide integers
☐ Number Line
☐ Adding and Subtracting Positive and Negative Numbers
☐ Multiplying Negatives Makes A Positive
☐ Add two integers (with and without the use of a number line)
☐ Addition Worksheets
☐ 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)
☐ Exponents
☐ Definition of Exponent
☐ Recognize and state the value of the square root of a perfect square (up to 225)
☐ Definition of Square Root
☐ Determine the square root of non-perfect squares (or harder perfect squares) using a calculator
☐ Squares and Square Roots
☐ Classify irrational numbers as non-repeating/non-terminating decimals
☐ e - Euler's number
☐ Nature, The Golden Ratio and Fibonacci Numbers
☐ Pi
☐ Is It Irrational?
☐ 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)
☐ Squares and Square Roots
☐ Recognize the difference between rational and irrational numbers (e.g., explore different approximations of pi)
☐ The Evolution of Numbers
☐ Rational Numbers
☐ Is It Irrational?
☐ Place rational and irrational numbers (approximations) on a number line and justify the placement.
☐ Number Line
☐ Write numbers in scientific notation
☐ Scientific Notation
☐ Standard Form
☐ Change numbers written in scientific notation to ordinary numbers
☐ Scientific Notation
☐ Compare numbers written in scientific notation
☐ Scientific Notation
☐ Find the common factors and greatest common factor of two or more numbers
☐ Greatest Common Factor
☐ Definition of Greatest Common Factor
☐ Determine multiples and least common multiple of two or more numbers
☐ Least Common Multiple Calculator
☐ Least Common Denominator
☐ Subtract two integers (with and without the use of a number line)
☐ Using The Number Line
☐ Adding and Subtracting Positive and Negative Numbers
☐ Compare and order integers from -10 to 10
☐ Compare Numbers: -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 (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 216 lies (with and without the use of a number line)
☐ Know and understand the Fundamental Theorem of Arithmetic.
☐ Prime Factorization
Grade 7 Fractions
☐ Add and subtract a combination of three or more fractions with unlike denominators
☐ Adding Fractions
☐ Least Common Denominator
☐ Adding and Subtracting Mixed Fractions
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
☐ Definition of Scale
☐ Activity: How High?
☐ Calculate scales of maps, scale drawings or models as ratios
☐ Definition of Scale
☐ Activity: How High?
Grade 7 Measurement
☐ Determine personal references for metric units of mass
☐ Weight or Mass?
☐ Definition of Mass
☐ Justify the reasonableness of the mass of an object (metric units)
☐ Metric Mass (Weight)
☐ Convert capacities and volumes within the metric system
☐ How to Safely Convert From One Unit to Another
☐ Conversion of Volume
☐ Definition of Millilitre Milliliter
☐ Identify metric units of mass
☐ Weight or Mass?
☐ Activity: Discover Mass
☐ Metric Mass (Weight)
☐ Unit Converter
☐ Draw central angles in a given circle using a protractor (circle graphs)
☐ Using a 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
☐ Weighing Jelly Babies
☐ 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 System of Measurement
☐ Determine personal references for US standard units of mass
☐ Weight or Mass?
☐ Definition of Weight
☐ Justify the reasonableness of the mass of an object (US standard units)
☐ Weight or Mass?
☐ Convert capacities and volumes within the US system
☐ US Standard Volume
☐ Conversion of Volume
☐ Definition of Capacity
☐ Introduction to US Standard Units
☐ US Standard Mass (Weight)
☐ Convert mass within the US system
☐ Unit Converter
☐ Determine the tools and techniques required to measure mass with an appropriate level of precision (US standard units)
☐ US Standard Mass (Weight)
☐ Definition of Balance Scales
☐ 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.
☐ Unit Converter
☐ Build a pattern to develop a rule for determining the sum of the interior angles of polygons
☐ Definition of Polygon
☐ Calculate the radius or diameter, given the circumference or area of a circle
☐ Pi
☐ Definition of Diameter
☐ Activity: The Olympic Athletics Track
☐ Find a missing angle when given angles of a quadrilateral
☐ Quadrilaterals - Square, Rectangle, Rhombus, Trapezoid, Parallelogram
☐ 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
☐ Supplementary Angles
☐ Exterior Angle
☐ Exterior Angles of Polygons
☐ Straight Angles
☐ Understand Tessellation, and what is meant by regular and semi-regular tessellations.
☐ Tessellation Artist
☐ 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.
☐ Hexagon
☐ Polygons
☐ Calculate the volumes of prisms and cylinders, using given formulas and a calculator
☐ Pouring Liquid
☐ Cuboids, Rectangular Prisms and Cubes
☐ Definition of Prism
☐ Definition of Cylinder
☐ 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 Cylinder
☐ Pyramids
☐ Spinning Triangular Pyramid
☐ Polyhedrons
☐ Activity: Investigating Solids
☐ 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
☐ Cuboids, Rectangular Prisms and Cubes
☐ Definition of Surface Area
☐ Scientific Calculator
Grade 7 Algebra
☐ Add and subtract monomials with exponents of one
☐ Like Terms
☐ Evaluate formulas for given input values (surface area, rate, and density problems)
☐ Definition of Surface Area
☐ Activity: Dropping a Coin onto a Grid
☐ Substitution
☐ Write down the reciprocal of an algebraic expression
☐ Reciprocal
☐ Add and subtract simple polynomials with exponents not greater than 3
☐ Definition of Polynomial
☐ Develop the laws of exponents for multiplication and division
☐ Exponents
☐ nth Roots
☐ Solve one-step inequalities (positive coefficients only)
Integers Test Grade 7 Pdf
☐ Solving Inequalities
☐ Graph the solution set of an inequality (positive coefficients only) on a number line.
☐ Solving Inequalities
Grade 7 Linear Equations
☐ Translate two-step verbal expressions into algebraic expressions
Fraction Questions Year 7
☐ Add Two Numbers and the Answer is Always 1089
☐ Solve multi-step equations by combining like terms, using the distributive property, or moving variables to one side of the equation
☐ Like Terms
☐ Simplify in Algebra
☐ Balance when Adding and Subtracting
☐ Identify the right angle, hypotenuse, and legs of a right triangle
☐ Right Angles
☐ Definition of Right-Angled Triangle
Year 7 Maths Topics
☐ Explore the relationship between the lengths of the three sides of a right triangle to develop the Pythagorean Theorem
☐ Pythagoras Theorem
☐ Definition of Pythagoras Theorem
☐ Pythagorean Triples
☐ Use the Pythagorean Theorem to determine the unknown length of a side of a right triangle
☐ Pythagorean Theorem Proof
☐ Pythagorean Triples
☐ Activity: Pythagoras' Theorem
☐ Determine whether a given triangle is a right triangle by applying the Pythagorean Theorem and using a calculator
☐ Pythagoras Theorem
☐ Pythagorean Theorem Proof
☐ Scientific Calculator
☐ Identify a polynomial as an algebraic expression containing one or more terms
☐ Definition of Polynomial
Grade 7 Functions
☐ Write an equation to represent a function from a table of values
☐ What is a Function
☐ Identify and collect data using a variety of methods
☐ Activity: Lengths of Leaves
☐ Survey Questions
☐ Design and conduct an experiment to test predictions
☐ Survey Questions
☐ Data Graphs (Bar, Line, Pie)
☐ Display data in a circle graph (pie chart)
☐ Pie Chart
☐ Convert raw data into double bar graphs and double line graphs
☐ Calculate the range for a given set of data
☐ The Range (Statistics)
☐ Read and interpret data represented graphically (pictograph, bar graph, histogram, line graph, double line/bar graphs or circle graph)
☐ Showing the Results of a Survey
☐ Pictographs
☐ Pie Chart
☐ Histograms
☐ Estimate surface area
☐ Activity: Garden Area
☐ Visual Estimation
☐ Justify the reasonableness of answers using estimation
☐ Estimation Tips and Tricks
☐ Definition of Estimate
☐ Estimate the areas of plane shapes by counting the number of squares needed to cover the shape.
☐ What is Area?
☐ Draw the graphic representation of a pattern from an equation or from a table of data
☐ Definition of Table
☐ Interpret data to provide the basis for predictions and to establish experimental probabilities
☐ Probability Line
☐ Activity: Buffon's Needle
☐ Select the appropriate measure of central tendency
☐ How to Calculate the Median Value
☐ The Mean Machine
☐ Definition of Median
☐ Determine the validity of sampling methods to predict outcomes
Grade 7 Money
☐ Definition of Unit Price
☐ Unit Price Game
☐ Activity: Grass for the Garden
☐ Unit Price
☐ Unit of Measurement
☐ Convert money between different currencies with the use of an exchange rate table and a calculator
☐ Scientific Calculator
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