Grade 8 Math – United States
Grade 8 Mathematics
This is the FutureSchool Grade 8 Mathematics course for students in the United States. It is matched to the Common Core State Standards, and to the state standards where a state sets its own. The course holds 121 lessons. Each lesson has a short video, worked examples and a printable worksheet. Lessons cover Algebra – Basic, Fractions, Decimals and Percentages, and more. Your child takes an assessment first, and the course then builds a study plan that names the lessons to work on. A lesson can be repeated as often as your child wants.
See every United States course, or look at our plans and prices.
| # | TOPIC | TITLE | |
|---|---|---|---|
| 1 | Study Plan | Study plan – Grade 8 | |
| Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. | |||
| 2 | Algebra – Basic | Directed Numbers: Addition and Subtraction | |
| Objective: To add/subtract numbers using a number line – first number and answer can be negative | |||
| 3 | Algebra – Basic | Directed Numbers: Multiplication and Division | |
| Objective: To multiply and divide directed numbers and evaluate powers of directed numbers | |||
| 4 | Fractions | Finding equivalent fractions | |
| Objective: To reduce a fraction to its lowest form | |||
| 5 | Fractions | Multiplying and dividing to obtain equivalent fractions. | |
| Objective: To find equivalent fractions using multiplication or division. | |||
| 6 | Fractions | Reducing fractions to lowest equivalent form | |
| Objective: To reduce a fraction to its lowest form | |||
| 7 | Fractions | Comparing and ordering fractions greater than 1 | |
| Objective: To use diagrams, number lines and equivalent fractions to compare and order fractions greater than 1 | |||
| 8 | Fractions | Subtracting fractions from whole numbers | |
| Objective: To use a diagram and mental strategies to subtract fractions from whole numbers | |||
| 9 | Fractions | Adding and subtracting fractions with the same denominator | |
| Objective: To add and subtract fractions with the same denominator | |||
| 10 | Fractions | Adding and subtracting fractions with different denominators | |
| Objective: To add fractions with different denominators and the answer is less than 1 | |||
| 11 | Fractions | Multiplying fractions by whole numbers | |
| Objective: To multiply common fractions by whole numbers | |||
| 12 | Fractions | Fractions of whole numbers | |
| Objective: To find fractions of whole numbers | |||
| 13 | Fractions | Multiplying fractions | |
| Objective: To multiply fractions and reduce the answer to its lowest form | |||
| 14 | Fractions | Multiplying mixed numbers | |
| Objective: To multiply mixed numbers and reduce the answer to its lowest form | |||
| 15 | Fractions | Finding reciprocals of fractions and mixed numbers | |
| Objective: To find the reciprocals of fractions and mixed numbers | |||
| 16 | Fractions | Dividing fractions | |
| Objective: To divide fractions by other fractions | |||
| 17 | Fractions | Dividing mixed numbers | |
| Objective: To divide mixed numbers | |||
| 18 | Fractions | BODMAS | |
| Objective: To calculate answers for fraction and mixed number questions using BODMAS | |||
| 19 | Decimals | Adding decimals to two decimal places | |
| Objective: To add decimals with the same number of decimal places (to two decimal Places) | |||
| 20 | Decimals | Subtracting decimals to two decimal places | |
| Objective: To subtract decimals with the same number of decimal places (to two decimal places) | |||
| 21 | Decimals | Using decimals – shopping problems | |
| Objective: To read and interpret problems involving money | |||
| 22 | Decimals | Using decimals to record length | |
| Objective: To interpret the everyday use of fractions and decimals | |||
| 23 | Decimals | Rounding Decimals | |
| Objective: To round a number with one or two decimal places to the nearest whole number | |||
| 24 | Decimals | Decimals to three decimal places | |
| Objective: To express a number on a thousand as a decimal in thousandths | |||
| 25 | Decimals | Adding decimals with a different number of decimal places | |
| Objective: To add decimal numbers with a different number of decimal places | |||
| 26 | Decimals | Subtracting decimals with a different number of places | |
| Objective: To subtract decimals with a different number of decimal places | |||
| 27 | Decimals | Multiplying decimals by 10, 100 and 1000 | |
| Objective: To recognize the pattern formed when decimals are multiplied by 10, 100 and 1000 | |||
| 28 | Decimals | Multiplying decimals by single-digit numbers | |
| Objective: To multiply decimals by single-digit numbers | |||
| 29 | Decimals | Multiplication of decimals by decimals to two decimal places | |
| Objective: To multiply decimals to two digits | |||
| 30 | Decimals | Dividing decimals by 10, 100 and 1000 | |
| Objective: To recognize the pattern formed when decimals are divided by 10, 100 and 1000 | |||
| 31 | Decimals | Dividing decimals by whole numbers | |
| Objective: To divide decimals by whole numbers | |||
| 32 | Decimals | Dividing numbers by decimals | |
| Objective: To divide a whole number by a decimal fraction | |||
| 33 | Percentages | Understanding percentages | |
| Objective: To recognize the percentage symbol and relate a common percentage to a fraction | |||
| 34 | Percentages | Changing fractions and decimals to percentages tenths and hundredths | |
| Objective: To represent fractions and decimals as percentages | |||
| 35 | Percentages | Changing percentages to fractions and decimals | |
| Objective: To change percentages to fractions and decimals | |||
| 36 | Percentages | One Quantity as a Percentage of Another | |
| Objective: To determine what one quantity is as a percentage of another | |||
| 37 | Uniform motion | The Speed Formula | |
| Objective: To calculate speed, distance or time using speed = distance/time | |||
| 38 | Measurement – Length | Read and calculate distances on a map using the formal unit kilometer | |
| Objective: To read distances (km) from a map and calculate total distances between locations | |||
| 39 | Measurement – Length | Compare and convert formal units of measurement | |
| Objective: To change cm to mm and then convert mm, cm, m and km from one to another | |||
| 40 | Measurement – Area | Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram | |
| Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height | |||
| 41 | Measurement – Area | Finding the Area of a Triangle and Other Composite Shapes | |
| Objective: To calculate the area of triangles and measure and calculate composite shape area | |||
| 42 | Measurement – Capacity | Using the cubic cm and displacement to measure volume and capacity | |
| Objective: To find volume and capacity using displacement | |||
| 43 | Measurement – Capacity | Using the Cubic cm as a Standard Unit of measurement for Volume and Capacity | |
| Objective: To understand a cubic centimeter and how it can be used to find the volume and capacity of a three-dimensional shape | |||
| 44 | Measurement – Capacity | The relationship between the common units of capacity: the liter and the milliliter | |
| Objective: To convert L to mL and vice versa using 1000 mL = 1 L | |||
| 45 | Measurement – Capacity | Converting between volume and capacity using kiloliters and liters | |
| Objective: To know the formal units of measurement for volume and capacity for bigger objects | |||
| 46 | Measurement – Capacity | Estimate, measure and compare the capacity of containers | |
| Objective: To understand estimation and a way to go about it | |||
| 47 | Measurement – Capacity | Converting between volume and capacity using milliliters and liters | |
| Objective: To solve capacity problems involving mixed dimensional units | |||
| 48 | Measurement – Mass | The Kilogram | |
| Objective: To recognize which of two (or more) objects has the greater mass | |||
| 49 | Measurement – Mass | The Gram | |
| Objective: To calculate net mass in grams and solve shopping problems involving mass | |||
| 50 | Measurement – Advanced area | Area of a Circle | |
| Objective: To calculate the area of circles and sectors and to solve circle problems | |||
| 51 | Measurement – Advanced area | Area of Regular Polygons and Composite Figures | |
| Objective: To calculate area of composite figures and solve problems using correct formulae | |||
| 52 | Measurement – Advanced volume | Finding the volume of prisms | |
| Objective: To calculate the volume of prisms using V=Ah and solve volume problems | |||
| 53 | Measurement – Advanced volume | Volume of a Cylinder and Sphere | |
| Objective: To solve problems and calculate volumes of cylinders and spheres and parts of each | |||
| 54 | Space | Using the prefix to determine polygons | |
| Objective: To continue sequences of shapes and recognize prefixes and name polygons | |||
| 55 | Space | Spatial properties of quadrilaterals | |
| Objective: To recall and recognize properties of different quadrilaterals | |||
| 56 | Space | Measure and classify angles | |
| Objective: To classify and measure angles and calculate angles in a triangle | |||
| 57 | Space | Recognize and name triangles | |
| Objective: To recall properties of different triangles | |||
| 58 | Space | Use grids to enlarge/reduce 2-D shapes | |
| Objective: To recognize shapes that tessellate and specify position on a grid | |||
| 59 | Space | Recognize and name prisms according to spatial properties | |
| Objective: To name prisms according to the shape of the base | |||
| 60 | Space | Recognize and name pyramids according to spatial properties | |
| Objective: To name pyramids according to the shape of the base | |||
| 61 | Space | Recognize nets for prisms, pyramids, cubes and cones | |
| Objective: To match a net with a solid and determine whether a given net forms a solid | |||
| 62 | Space | Viewing 3-D Shapes | |
| Objective: To recognize what a solid looks like when viewed from a given direction | |||
| 63 | Problem solving | Word Problems with Area | |
| Objective: To solve area word problems using + – x and / | |||
| 64 | Problem solving | Word Problems with Volume/Capacity | |
| Objective: To solve volume and capacity word problems using + – x and / | |||
| 65 | Surface area | Surface Area of a Cube/Rectangular Prism | |
| Objective: To calculate the surface area of cubes and rectangular prisms | |||
| 66 | Surface area | Surface Area of a Cylinder and Sphere | |
| Objective: To calculate the surface area of cylinders and spheres | |||
| 67 | Geometry part 1 | Measuring Angles | |
| Objective: To use a protractor to measure angles and identify angles as acute, obtuse or reflex | |||
| 68 | Geometry part 1 | Adjacent Angles | |
| Objective: To recognize and calculate the size of adjacent angles | |||
| 69 | Geometry part 1 | Complementary and Supplementary Angles | |
| Objective: To recognize and calculate the size of complementary and supplementary angles | |||
| 70 | Geometry part 1 | Vertically Opposite Angles | |
| Objective: To determine values of pronumerals in vertically opposite angles | |||
| 71 | Geometry part 1 | Angles at a Point | |
| Objective: To use angles at a point to calculate unknown angles | |||
| 72 | Geometry part 1 | Parallel Lines | |
| Objective: To identify angle pairs and calculate angles formed by a transversal and parallel lines | |||
| 73 | Geometry part 1 | Additional questions involving parallel lines | |
| Objective: To determine angle magnitude for angles formed by parallel lines and transversals | |||
| 74 | Quadrilaterals | Quadrilaterals 1 | |
| Objective: To recognize, name and describe the properties of quadrilaterals | |||
| 75 | Quadrilaterals | Properties of Parallelograms – Opposite Angles Equal | |
| Objective: To prove and use ‘Opposite angles of a parallelogram are congruent’ | |||
| 76 | Quadrilaterals | Properties of Parallelograms – Diagonals, Sides and Angles | |
| Objective: To prove parallelogram properties and calculate unknown angles and lengths | |||
| 77 | Quadrilaterals | The Parallelogram Umbrella | |
| Objective: To prove properties of specific parallelograms and find angles and lengths | |||
| 78 | Quadrilaterals | Properties of Trapezoids | |
| Objective: To prove properties of trapezoids and find unknown lengths and angles | |||
| 79 | Quadrilaterals | Quadrilaterals 6 | |
| Objective: To establish the properties of quadrilaterals in the number plane | |||
| 80 | Geometry part 2 | Congruent triangles: Tests 1 and 2 | |
| Objective: To recognize congruent triangles and matching sides and angles using SSS and SAS | |||
| 81 | Geometry part 2 | Congruent triangles: Tests 3 and 4 | |
| Objective: To recognize congruent triangles and matching sides and angles using AAS and RHS | |||
| 82 | Geometry part 2 | Proofs and Congruent Triangles | |
| Objective: To use congruency in formal proofs in order to determine unknown angles and sides | |||
| 83 | Geometry part 2 | Similar Triangles | |
| Objective: To use similarity tests for triangles and determine unknown sides and angles in triangles | |||
| 84 | Geometry part 2 | Using Similar Triangles to Calculate Lengths | |
| Objective: To determine unknown sides and angles of similar triangles | |||
| 85 | Geometry part 2 | Examples involving overlapping triangles | |
| Objective: To determine the lengths of unknown sides in overlapping or adjacent similar triangles | |||
| 86 | Pythagoras | Pythagoras’ Theorem: Finding the Hypotenuse | |
| Objective: To calculate the length of a hypotenuse using Pythagoras’ Theorem | |||
| 87 | Pythagoras | Using Pythagorean Triples to Identify Right Triangles | |
| Objective: To identify right triangles by using Pythagorean Triples or Pythagoras’ Theorem | |||
| 88 | Pythagoras | Calculating the Hypotenuse of a right-angled Triangle | |
| Objective: To calculate the length of a hypotenuse where lengths are given as surds or decimals | |||
| 89 | Pythagoras | Calculating a Leg of a right-angled Triangle | |
| Objective: To calculate the length of sides other than the hypotenuse using Pythagoras’ Theorem | |||
| 90 | Algebra – Basic | Algebraic Expressions | |
| Objective: To simplify numerical expressions and simplify and expand algebraic expressions | |||
| 91 | Algebra – Basic | Substitution into Algebraic Expressions | |
| Objective: To evaluate simple algebraic expressions using whole numbers, fractions and decimals | |||
| 92 | Algebra – Basic | Simplifying Algebraic Expressions: Adding Like Terms | |
| Objective: To simplify numeric and algebraic addition expressions by collecting like terms | |||
| 93 | Algebra – Basic | Simplifying Algebraic Expressions: Subtracting Like Terms | |
| Objective: To simplify algebraic subtractions by collecting like terms | |||
| 94 | Algebra – Basic | Simplifying Algebraic Expressions: Combining Addition and Subtraction | |
| Objective: To simplify expressions containing addition and subtraction and two unlike terms | |||
| 95 | Algebra – Basic | Simplifying Algebraic Expressions: Multiplication | |
| Objective: To simplify algebraic products using (but not stating) the commutative law | |||
| 96 | Algebra – Basic | Simplifying Algebraic Expressions: Division | |
| Objective: To divide algebraic terms where the divisor is a factor of the dividend | |||
| 97 | Algebra – Basic | Expanding Algebraic Expressions: multiplication | |
| Objective: To remove grouping symbols from an expression where the multiplier is monomial | |||
| 98 | Algebra – Basic | Expanding Algebraic Expressions: Negative multiplier | |
| Objective: To expand parentheses when there is a negative multiplier | |||
| 99 | Algebra – Basic | Expanding and simplifying algebraic expressions | |
| Objective: To expand and simplify algebraic expressions involving grouping symbols | |||
| 100 | Algebra – Basic | Solving Equations containing Addition and Subtraction | |
| Objective: To solve one-step equations involving addition or subtraction | |||
| 101 | Algebra – Basic | Solving Equations containing Multiplication and Division | |
| Objective: To solve one-step equations involving multiplication or division | |||
| 102 | Algebra – Basic | Solving Two-Step Equations | |
| Objective: To solve two-step equations without division in the initial problem | |||
| 103 | Algebra – Basic | Solving Equations Containing Binomial Expressions | |
| Objective: To solve equations with binomial expressions on each side | |||
| 104 | Algebra – Basic | Equations involving Grouping Symbols | |
| Objective: To solve equations containing grouping symbols on each side | |||
| 105 | Algebra – Basic | Equations involving fractions | |
| Objective: To solve fraction equations with the unknown in either the numerator or denominator | |||
| 106 | Algebra – Basic | Equations Resulting from Substitution into Formulae | |
| Objective: To solve equations created by substituting values into formulae | |||
| 107 | Algebra – Basic | Changing the Subject of the Formula | |
| Objective: To change the subject of algebraic formulae using equation-solving techniques | |||
| 108 | Space | Mapping | |
| Objective: To locate places and describe navigation on a map and use a row/column grid | |||
| 109 | Space | Main and intermediate compass points | |
| Objective: To specify direction using the eight points of a compass | |||
| 110 | Space | Informal coordinate system | |
| Objective: To specify location using a map coordinate system – origin top left | |||
| 111 | Graphs – Basic | Line Graphs | |
| Objective: To read and interpret line graphs | |||
| 112 | Graphs – Basic | Pie and Bar Graphs | |
| Objective: To read and interpret pie and bar graphs | |||
| 113 | Statistics part 1 | Frequency distribution table | |
| Objective: To construct a frequency distribution table for raw data and to interpret the table | |||
| 114 | Statistics part 1 | Frequency histograms and polygons | |
| Objective: To construct and interpret frequency histograms and polygons | |||
| 115 | Statistics part 1 | Relative Frequency | |
| Objective: To extend the frequency distribution table to include a relative frequency column | |||
| 116 | Statistics part 1 | The Scatter plot | |
| Objective: To make a valid interpretation of data presented as a scatter plot | |||
| 117 | Probability | Simple events | |
| Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S) | |||
| 118 | Probability | Experimental probability | |
| Objective: To find the experimental probabilities of an experimental trial | |||
| 119 | Probability | Experimental probability | |
| Objective: To use tree diagrams to determine sample spaces and compound probabilities | |||
| 120 | Probability | The Complementary Result | |
| Objective: To calculate the probability of complementary events using P(E) = 1 – P(not E) | |||
| 121 | Exam | Exam – Grade 8 | |
| Objective: Exam | |||
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