Grade 5 Math – United States
Grade 5 Mathematics
This is the FutureSchool Grade 5 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 82 lessons. Each lesson has a short video, worked examples and a printable worksheet. Lessons cover Basic mathematics part 2, Long multiplication, Basic mathematics part 1 and Fractions, 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 5 | |
| Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. | |||
| 2 | Basic mathematics part 2 | The Numbers 10 000 to 99 999 | |
| Objective: To determine the place value of digits in, order of and name of 5-digit numbers | |||
| 3 | Basic mathematics part 2 | Addition up to the number 999 | |
| Objective: To add up to three 2 and 3-digit numbers with and without trading | |||
| 4 | Basic mathematics part 2 | Addition to 9999 and beyond | |
| Objective: To add up to five 3, 4 or 5-digit numbers from 0 to 99 999 | |||
| 5 | Basic mathematics part 2 | Subtraction up to the number 999 | |
| Objective: To subtract 3-digit numbers with and without trading and find missing digits | |||
| 6 | Basic mathematics part 2 | Subtraction involving four-digit numbers and beyond | |
| Objective: To subtract 4 or 5-digit numbers from 5-digit numbers using the Renaming Method | |||
| 7 | Long multiplication | Multiplying 2-digit numbers by multiples of 10 | |
| Objective: To multiply 2-digit numbers by multiples of 10 using long multiplication | |||
| 8 | Long multiplication | Multiplying 3 and 4-digit numbers by multiples of 100 | |
| Objective: To multiply 4-digit numbers by multiples of 100 using long multiplication | |||
| 9 | Long multiplication | Multiplying 2-digit numbers by 2-digit numbers | |
| Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication | |||
| 10 | Basic mathematics part 1 | Strategies for division | |
| Objective: To perform division by arranging objects into groups | |||
| 11 | Basic mathematics part 2 | Division with and without a remainder | |
| Objective: To divide by 1-digit divisor with/without remainder and form division problems | |||
| 12 | Basic mathematics part 2 | Dividing two and three-digit numbers by a single-digit number | |
| Objective: To divide 3-digit by 1-digit numbers and solve word problems | |||
| 13 | Fractions | Using fractions 1/2, 1/4, 1/8 to describe part of a whole | |
| Objective: To name and use the fractions 1/2, 1/4 and 1/8 in describing parts of a whole | |||
| 14 | Fractions | Using fractions 1/2, 1/4, 1/8 to describe parts of a group or collection | |
| Objective: To use the fractions 1/2, 1/4 and 1/8 to describe equal parts of a collection of objects | |||
| 15 | Fractions | Fractions 1/5, 1/10, 1/100 | |
| Objective: To compare and represent fractions with the denominator 5, 10, 100 | |||
| 16 | Fractions | Comparing and ordering fractions | |
| Objective: To compare and order fractions with the same and different numbers of equal parts | |||
| 17 | Fractions | Mixed numerals | |
| Objective: To name and recognize mixed numerals | |||
| 18 | Fractions | Improper fractions | |
| Objective: To use diagrams and number lines to recognize and represent mixed numerals and improper fractions | |||
| 19 | Decimals | Intro to Decimals | |
| Objective: To relate the equivalent fraction to a decimal | |||
| 20 | Decimals | Comparing and ordering decimals to two decimal places | |
| Objective: To compare and order decimals to two decimal places | |||
| 21 | Decimals | Decimals with whole numbers 10th and 100th | |
| Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals | |||
| 22 | Decimals | Adding decimals to two decimal places | |
| Objective: To add decimals with the same number of decimal places (to two decimal Places) | |||
| 23 | Decimals | Subtracting decimals to two decimal places | |
| Objective: To subtract decimals with the same number of decimal places (to two decimal places) | |||
| 24 | Decimals | Using decimals – shopping problems | |
| Objective: To read and interpret problems involving money | |||
| 25 | Decimals | Using decimals to record length | |
| Objective: To interpret the everyday use of fractions and decimals | |||
| 26 | Decimals | Rounding Decimals | |
| Objective: To round a number with one or two decimal places to the nearest whole number | |||
| 27 | Decimals | Decimals to three decimal places | |
| Objective: To express a number on a thousand as a decimal in thousandths | |||
| 28 | Decimals | Adding decimals with a different number of decimal places | |
| Objective: To add decimal numbers with a different number of decimal places | |||
| 29 | Decimals | Subtracting decimals with a different number of places | |
| Objective: To subtract decimals with a different number of decimal places | |||
| 30 | Decimals | Multiplying decimals by 10, 100 and 1000 | |
| Objective: To recognize the pattern formed when decimals are multiplied by 10, 100 and 1000 | |||
| 31 | Decimals | Dividing decimals by 10, 100 and 1000 | |
| Objective: To recognize the pattern formed when decimals are divided by 10, 100 and 1000 | |||
| 32 | Time | am and pm time | |
| Objective: To distinguish between am and pm time and to use the correct notation for am and pm time | |||
| 33 | Time | Quarter past and quarter to | |
| Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes | |||
| 34 | Time | Telling the time – minutes past the hour | |
| Objective: To read analogue time to the minute past the hour | |||
| 35 | Time | Telling the time – minutes to the hour | |
| Objective: To read analogue clocks in minutes to the hour | |||
| 36 | Time | Relating analogue and digital time | |
| Objective: To read analogue and digital clocks to the minute | |||
| 37 | Time | 24-hour time | |
| Objective: To tell the time accurately using 24-hour time and change the time from am and pm time to 24-hour time | |||
| 38 | Measurement – Length | Using the meter as a formal unit to measure perimeter | |
| Objective: To calculate the perimeter of shapes whose measurements are given in meters | |||
| 39 | Measurement – Length | Using the formal unit of the centimeter to measure length and perimeter | |
| Objective: To use a ruler to find lengths and perimeters in centimeters | |||
| 40 | 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 | |||
| 41 | 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 | |||
| 42 | Measurement – Advanced area | Comparing and Ordering Areas | |
| Objective: To estimate size order and count or estimate area as the number of cm squares | |||
| 43 | Measurement – Area | Introduction to the square centimeter | |
| Objective: To determine the area of a shape by counting the number of square centimeters | |||
| 44 | 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 | |||
| 45 | 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 | |||
| 46 | Measurement – Volume | Introduction to Volume: using the cubic centimeter as a standard unit | |
| Objective: To count volume using 1 cm cubes | |||
| 47 | Measurement – Volume | Constructing Models | |
| Objective: To develop volume of prisms as layers of a number of 1 cm cubes | |||
| 48 | Measurement – Volume | Using the Cubic Centimeter to Measure Volume | |
| Objective: To use the 1 cm cube as the unit for volume | |||
| 49 | Measurement – Volume | Introducing the Formula for Volume | |
| Objective: To calculate the volume of rectangular prisms using V=l x b x h | |||
| 50 | Measurement – Capacity | Using the cubic cm and displacement to measure volume and capacity | |
| Objective: To find volume and capacity using displacement | |||
| 51 | 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 | |||
| 52 | 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 | |||
| 53 | 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 | |||
| 54 | Measurement – Capacity | Estimate, measure and compare the capacity of containers | |
| Objective: To understand estimation and a way to go about it | |||
| 55 | Measurement – Capacity | Converting between volume and capacity using milliliters and liters | |
| Objective: To solve capacity problems involving mixed dimensional units | |||
| 56 | Measurement – Mass | The Kilogram | |
| Objective: To recognize which of two (or more) objects has the greater mass | |||
| 57 | Measurement – Mass | The Gram | |
| Objective: To calculate net mass in grams and solve shopping problems involving mass | |||
| 58 | Space | Using the prefix to determine polygons | |
| Objective: To continue sequences of shapes and recognize prefixes and name polygons | |||
| 59 | Space | Spatial properties of quadrilaterals | |
| Objective: To recall and recognize properties of different quadrilaterals | |||
| 60 | Space | Measure and classify angles | |
| Objective: To classify and measure angles and calculate angles in a triangle | |||
| 61 | Space | Recognize and name triangles | |
| Objective: To recall properties of different triangles | |||
| 62 | Space | Use grids to enlarge/reduce 2-D shapes | |
| Objective: To recognize shapes that tessellate and specify position on a grid | |||
| 63 | Space | Recognize and name prisms according to spatial properties | |
| Objective: To name prisms according to the shape of the base | |||
| 64 | Space | Recognize and name pyramids according to spatial properties | |
| Objective: To name pyramids according to the shape of the base | |||
| 65 | 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 | |||
| 66 | Space | Viewing 3-D Shapes | |
| Objective: To recognize what a solid looks like when viewed from a given direction | |||
| 67 | Space | Position | |
| Objective: To use positional terms such as behind, next to and above, accurately | |||
| 68 | Space | Mapping | |
| Objective: To locate places and describe navigation on a map and use a row/column grid | |||
| 69 | Space | Main and intermediate compass points | |
| Objective: To specify direction using the eight points of a compass | |||
| 70 | Space | Informal coordinate system | |
| Objective: To specify location using a map coordinate system – origin top left | |||
| 71 | Graphs – Basic | Line Graphs | |
| Objective: To read and interpret line graphs | |||
| 72 | Graphs – Basic | Pie and Bar Graphs | |
| Objective: To read and interpret pie and bar graphs | |||
| 73 | Probability | Simple events | |
| Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S) | |||
| 74 | Problem solving | Sign Words | |
| Objective: To recognize words and phrases that correspond to + – x and / | |||
| 75 | Problem solving | Problem Solving Strategies | |
| Objective: To review problem solving words and an effective problem solving approach | |||
| 76 | Problem solving | Word Problems with Numbers | |
| Objective: To solve number word problems using + – x and / | |||
| 77 | Problem solving | Word Problems with Money | |
| Objective: To solve money word problems using + – x and / | |||
| 78 | Problem solving | Word Problems with Length | |
| Objective: To solve length word problems using + – x and / | |||
| 79 | Problem solving | Word Problems with Mass | |
| Objective: To solve mass word problems using + – x and / | |||
| 80 | Problem solving | Word Problems with Area | |
| Objective: To solve area word problems using + – x and / | |||
| 81 | Problem solving | Word Problems with Volume/Capacity | |
| Objective: To solve volume and capacity word problems using + – x and / | |||
| 82 | Exam | Exam – Grade 5 | |
| Objective: Exam | |||
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